pax_global_header00006660000000000000000000000064145035533600014516gustar00rootroot0000000000000052 comment=b64b6519f6c26fcfd14d495f59c77f460f179b2f ShapeScript-1.6.14/000077500000000000000000000000001450355336000140345ustar00rootroot00000000000000ShapeScript-1.6.14/.github/000077500000000000000000000000001450355336000153745ustar00rootroot00000000000000ShapeScript-1.6.14/.github/workflows/000077500000000000000000000000001450355336000174315ustar00rootroot00000000000000ShapeScript-1.6.14/.github/workflows/build.yml000066400000000000000000000031371450355336000212570ustar00rootroot00000000000000name: build on: push: pull_request: jobs: macos: strategy: fail-fast: false matrix: macos: - 11 - 13 xcode: - latest-stable runs-on: macos-${{ matrix.macos }} steps: - name: Checkout uses: actions/checkout@v2 - name: Build and Test run: | xcodebuild -scheme "ShapeScript Lib" -sdk macosx clean build test -enableCodeCoverage YES -derivedDataPath Build/ cd Build/Build/ProfileData cd $(ls -d */|head -n 1) directory=${PWD##*/} pathCoverage=Build/Build/ProfileData/${directory}/Coverage.profdata cd ../../../../ xcrun llvm-cov export -format="lcov" -instr-profile $pathCoverage Build/Build/Products/Debug/ShapeScript.framework/ShapeScript > info.lcov - name: Codecov uses: codecov/codecov-action@v2 with: # the token is optional for a public repo, but including it anyway token: 7514ee4a-dfc8-4de0-9964-c2883c941ef4 env_vars: MD_APPLE_SDK_ROOT,RUNNER_OS,RUNNER_ARCH linux: strategy: fail-fast: false matrix: swiftver: - swift:5.2 - swiftlang/swift:nightly-main swiftos: - focal runs-on: ubuntu-latest container: image: ${{ format('{0}-{1}', matrix.swiftver, matrix.swiftos) }} options: --cap-add=SYS_PTRACE --security-opt seccomp=unconfined --security-opt apparmor=unconfined steps: - name: Checkout uses: actions/checkout@v1 - name: Build and Test run: swift test --enable-test-discovery ShapeScript-1.6.14/.github/workflows/linux_build.yml000066400000000000000000000014401450355336000224710ustar00rootroot00000000000000name: Build for Linux on: workflow_dispatch: inputs: ref: description: 'Ref to build (branch, tag or SHA)' required: false default: 'main' jobs: build: name: Build ShapeScript for Linux runs-on: ubuntu-20.04 steps: - uses: actions/checkout@v3 with: ref: ${{ github.event.inputs.ref }} - name: Build it run: | swift build --configuration release --static-swift-stdlib SWIFTFORMAT_BIN_PATH=`swift build --configuration release --show-bin-path` mv $SWIFTFORMAT_BIN_PATH/shapescript "${HOME}/shapescript" - name: 'Upload Artifact' uses: actions/upload-artifact@v3 with: name: shapescript_linux path: ~/shapescript retention-days: 5 ShapeScript-1.6.14/.gitignore000066400000000000000000000025701450355336000160300ustar00rootroot00000000000000## Mac .DS_Store ## Build generated build/ culprits.txt default.profraw DerivedData/ /html ## Various settings *.pbxuser !default.pbxuser *.mode1v3 !default.mode1v3 *.mode2v3 !default.mode2v3 *.perspectivev3 !default.perspectivev3 project.xcworkspace/ xcuserdata/ ## Other *.moved-aside *.xcuserstate ## Obj-C/Swift specific *.hmap *.ipa *.dSYM.zip *.dSYM ## Playgrounds timeline.xctimeline playground.xcworkspace # Swift Package Manager # # Add this line if you want to avoid checking in source code from Swift Package Manager dependencies. # Packages/ .build/ .swiftpm/ Package.resolved # CocoaPods # # We recommend against adding the Pods directory to your .gitignore. However # you should judge for yourself, the pros and cons are mentioned at: # https://guides.cocoapods.org/using/using-cocoapods.html#should-i-check-the-pods-directory-into-source-control # # Pods/ # Carthage # # Add this line if you want to avoid checking in source code from Carthage dependencies. # Carthage/Checkouts Carthage/Build # fastlane # # It is recommended to not store the screenshots in the git repo. Instead, use fastlane to re-generate the # screenshots whenever they are needed. # For more information about the recommended setup visit: # https://github.com/fastlane/fastlane/blob/master/fastlane/docs/Gitignore.md fastlane/report.xml fastlane/Preview.html fastlane/screenshots fastlane/test_output ShapeScript-1.6.14/.swift-version000077500000000000000000000000031450355336000166500ustar00rootroot000000000000005.1ShapeScript-1.6.14/.swiftformat000066400000000000000000000002141450355336000163770ustar00rootroot00000000000000--hexgrouping ignore --decimalgrouping ignore --enable isEmpty --ifdef no-indent --exclude Build, Euclid, LRUCache, SVGPath, Package.swift ShapeScript-1.6.14/CHANGELOG.md000077500000000000000000000770701450355336000156630ustar00rootroot00000000000000# Change Log ## [1.6.14](https://github.com/nicklockwood/ShapeScript/releases/tag/1.6.14) (2023-09-23) - Bumped Euclid to version 0.6.18 (fixes crash when building with Xcode 15) ## [1.6.13](https://github.com/nicklockwood/ShapeScript/releases/tag/1.6.13) (2023-07-30) - Fixed "Show Wireframe" menu item not updating correctly on iOS - Added error hint for misspelled else keyword - Added Value.errorDescription for clearer error messages - Fixed out of bounds crash in iOS source editor - Fixed some typesystem edge cases for optionals, unions and lists - Added checked angular types to help prevent mixed angle errors - Added regression tests for example shape files - Bumped Euclid to version 0.6.15 ## [1.6.12](https://github.com/nicklockwood/ShapeScript/releases/tag/1.6.12) (2023-07-08) - Fixed bug where structured data was flattened when returned from a block or function - Source editor on iOS no longer closes when shape file is reloaded - Disabled double space period shortcut in iOS source editor - Fixed orthographic checkbox not updating on iOS - Added Icosahedron example project - Improved camera control docs ## [1.6.11](https://github.com/nicklockwood/ShapeScript/releases/tag/1.6.11) (2023-06-21) - Fixed bug where block options could clash with global functions of the same name ## [1.6.10](https://github.com/nicklockwood/ShapeScript/releases/tag/1.6.10) (2023-06-12) - Removed Reddit community links - Fixed precedence issue with `point`/`curve` commands (introduced in 1.6.9) - Fixed broken importing of external model file formats (introduced in 1.6.8) - Block options can now be set conditionally within `if` blocks - Overrides to global constants and functions are now usable inside block invocations - Fixed bug where local defines in a block invocation were mistaken for options - The `point.color` member now returns an empty tuple instead of an error if unset - Fixed occasional blank screen glitch when first opening a file - Fixed iOS camera menu not updating after camera is moved - Bumped Euclid to version 0.6.14 ## [1.6.9](https://github.com/nicklockwood/ShapeScript/releases/tag/1.6.9) (2023-04-21) - Fixed confusing function / operator precedence - Improved scroll-to-cursor behavior in iOS source editor - Bumped Euclid to version 0.6.13 (includes fix for cracking/holes issue) - Added What's New in ShapeScript screen to iOS Viewer ## [1.6.8](https://github.com/nicklockwood/ShapeScript/releases/tag/1.6.8) (2023-04-16) - Improved static type inference for import statements - Fixed type error for constant transform overrides - Removed OpenGL support for High Sierra - Fixed range precision issue - Added Linux CLI support ## [1.6.7](https://github.com/nicklockwood/ShapeScript/releases/tag/1.6.7) (2023-04-04) - Added `arc` command - Added vector algebra operators - Setting unequal width/height no longer distorts corner radius for `roundrect` command - Added `sign`, `dot`, `cross`, `length` and `normalize` functions - Added implicit casting between vector and size values - Select Shape menu is now disabled when empty - Improved argument error messages - Fixed bug where modulo operator sometimes returned negative values - Fixed bug when mixing points and subpaths in a `path` command - Fixed retain cycle in iOS file dialog - Fixed potential crash in `selectCamera()` function - Increased code sharing between Mac and iOS Viewer implementations - Bumped Euclid to version 0.6.12 ## [1.6.6](https://github.com/nicklockwood/ShapeScript/releases/tag/1.6.6) (2023-03-25) - The position and transform of mesh and path values can now be set as if they were a block - Setting name on a block that returns a path no longer makes the result unusable in a builder - Constants and property symbols are no longer called "function" in error messages - Removed unhelpful "did you mean" suggestions when a valid symbol is used in wrong context - Improved error description for numeric list type - Fixed various bugs in the iOS source editor - Bumped SVGPath to version 1.1.3 ## [1.6.5](https://github.com/nicklockwood/ShapeScript/releases/tag/1.6.5) (2023-03-02) - Fixed performance regression in `GeometryType.bounds` when using lathe shapes - Fixed line number display in iOS source editor - Bumped Euclid to version 0.6.11 ## [1.6.4](https://github.com/nicklockwood/ShapeScript/releases/tag/1.6.4) (2023-02-28) - The `bounds` and `polygons` members now correctly take object transform into account - ShapeScript Viewer for iPad now supports multiple viewer/editor windows - Fixed some bugs and improved editing experience for source editor on iOS - Fixed bug where iOS editor would sometimes close spontaneously while editing - Added `shapescript:` URL scheme and improved URL handling - Bumped Euclid to version 0.6.10 ## [1.6.3](https://github.com/nicklockwood/ShapeScript/releases/tag/1.6.3) (2023-01-31) - iOS Viewer now supports editing `.shape` files directly inside the app - Added `Edit > Select Shape` and `Clear Selection` menus in macOS viewer - Added selection hotkeys and VoiceOver support for macOS viewer - Fixed selection being cleared whenever geometry is refreshed - Fixed dynamic dark mode updates on iOS viewer - Fixed iOS split view bounds crash - Fixed bug where camera hotkeys failed after reload - Fixed error overlay translucency - Fixed various member type bugs ## [1.6.2](https://github.com/nicklockwood/ShapeScript/releases/tag/1.6.2) (2023-01-16) - Improved info panel display - Fixed twisted extrusion offset - Fixed `roundrect` detail level (previously 4x higher than intended) - Fixed incorrect output when intersecting groups of meshes - Empty scenes are no longer hidden if they contain debug geometry - Scene now conforms to Equatable protocol - Fixed misleading error message for excess color arguments - Fixed spurious forward declaration error for options that shadow global define - Added automatic casting of hex strings to colors (useful for JSON data) - Made `.polygon` members available on all geometries, not just manually-created meshes - Excluded source location from Geometry equality comparisons - Fixed vector member access on tuples containing string elements - Fixed vector member access on nested numeric tuples - Fixed color member access on tuples and strings - Fixed polygon member lookup on meshes - Fixed handling of blocks with optional children (e.g. `polygon`) - Improved symbol lookup performance - Bumped Euclid to version 0.6.8 ## [1.6.1](https://github.com/nicklockwood/ShapeScript/releases/tag/1.6.1) (2023-01-02) - Added `twist` option to `extrude` command - Fixed inconsistent View menu options when switching between open documents - Bumped Euclid to version 0.6.7 ## [1.6.0](https://github.com/nicklockwood/ShapeScript/releases/tag/1.6.0) (2022-12-27) - Added hull command for creating convex hulls from points, paths or other meshes - Added mesh command for manually creating meshes from individual polygons - Added `axisAligned` property for controlling extrusion along paths - Added support for importing plain text files as a string and JSON files as a tuple - Added modulo operator for calculating remainder of division - Significantly overhauled type system to support lists, unions and objects - Improved static analysis, allowing type errors to be caught earlier - Improved handling of background property scope - The min and max functions are now variadic (accept any number of arguments) - Added `split()`, `join()` and `trim()` functions for working with strings - Added automatic conversion of strings to numbers or boolean values where applicable - Added `string.lines`, `.words` and `.characters` members - Added `tuple.count`, `.last`, `.allButFirst` and `.allButLast` members - Fixed member lookup on numeric literals - Fixed bug where material of imported shapes could not be overridden - Background and texture can now be cleared by setting them to an empty string - Logging geometry values to console now produces more useful output - Added proper logging for bounds and point values - Added `fileTimedOut` and `circularImport` errors - Refactored and improved error handling - Renamed `ImportError` to `ProgramError` - Raised minimum Euclid version to 0.6.6 - Added Spirals example ## [1.5.14](https://github.com/nicklockwood/ShapeScript/releases/tag/1.5.14) (2022-12-18) - Added support for C-style block comments using `/* ... */` syntax - Fixed bug where source file could incorrectly be inferred as UTF-7, causing parsing errors - Fixed issue where error messages would sometimes suggest the same identifier you already used - Improved script execution performance by making source location lookup lazy - Bumped Euclid to version 0.6.6 ## [1.5.13](https://github.com/nicklockwood/ShapeScript/releases/tag/1.5.13) (2022-12-08) - Fixed crash when importing external `.shape` files - When error occurs in imported file, Cmd-E now opens that file instead of the main file - Bumped Euclid to version 0.6.5 ## [1.5.12](https://github.com/nicklockwood/ShapeScript/releases/tag/1.5.12) (2022-11-21) - Bumped Euclid to version 0.6.4 (includes fixes for single-point path crash and path extrusions) - Fixed parsing ambiguity in tuple expressions where identifier is followed by opening paren - Improved bounds accuracy for circle-based shapes ## [1.5.11](https://github.com/nicklockwood/ShapeScript/releases/tag/1.5.11) (2022-11-06) - Fixed source code view on iOS - Fixed loading of external iCloud assets when file has not been downloaded - ShapeScript now monitors changes to external textures, fonts and imports on iOS - Original topology for imported models is now preserved, instead of being triangulated - Improved error messaging for file imports - Bumped Euclid to version 0.6.2 ## [1.5.10](https://github.com/nicklockwood/ShapeScript/releases/tag/1.5.10) (2022-10-29) - Improved documentation for strings and trigonometry functions - Fixed empty bounds returned for `lathe`, `fill`, `extrude` and `loft` shapes - Fixed runtime warning about postscript font names - Fixed range bug in error formatting logic - Fixed inconsistent handling of functions that return tuples - Fixed inconsistent member lookup handling - Bumped Euclid to version 0.6.0 - Fixed Linux build warnings ## [1.5.9](https://github.com/nicklockwood/ShapeScript/releases/tag/1.5.9) (2022-10-06) - Fixed getting started link in Welcome modal - Removed bad suggestions from editors list - Added iOS target for ShapeScript Viewer ## [1.5.8](https://github.com/nicklockwood/ShapeScript/releases/tag/1.5.8) (2022-10-03) - Added shared `SCNGeometry` cache, significantly improving performance for scenes with repeated objects - Significantly reduced time to calculate mesh stats (as displayed in object info window) - Optimized source line lookup that affected script execution performance ## [1.5.7](https://github.com/nicklockwood/ShapeScript/releases/tag/1.5.7) (2022-09-26) - Fixed bug where a `define` inside a block couldn't refer to `option` value - Fixed bug when parsing expressions ending in a `not` identifier - Fixed bug where view unexpectedly jumped to custom camera after reload - Bumped Euclid to version 0.5.30 - Bumped LRUCache to version 1.0.3 - Bumped SVGPath to version 1.1.1 - Added iOS help pages ## [1.5.6](https://github.com/nicklockwood/ShapeScript/releases/tag/1.5.6) (2022-09-06) - Added ability to copy the current camera configuration for easy creation of custom cameras - Improved logic for when camera position is reset after document update or window resize - Fixed bug where custom cameras did not correctly inherit the document background - Fixed bug where scale was doubled for custom orthographic cameras - Fixed live updating of document background when switching between light and dark mode - Fixed race condition in view rendering sometimes resulting in a blank scene - Fixed member suggestions for empty tuple - Renamed `Geometry(scnNode:)` initializer for consistency - Deprecated `Geometry.cameras` accessor - Bumped Euclid to version 0.5.29 ## [1.5.5](https://github.com/nicklockwood/ShapeScript/releases/tag/1.5.5) (2022-08-11) - Significantly improved performance for bulk fill/extrude operations (e.g. text) - Fixed camera position continuously being reset in ShapeScript Viewer while loading - Added indicator to Camera menu when camera has been moved - Bumped Euclid to version 0.5.28 ## [1.5.4](https://github.com/nicklockwood/ShapeScript/releases/tag/1.5.4) (2022-07-25) - Fixed setting font inside a `text` command - Improved error messages for missing block arguments - Multiple arguments passed to `text` command are now treated as single coalesced string - Extruding along a path now more reliably produces watertight output - Fixed parsing of tuple statements starting with constant - Fixed parsing of a prefix minus immediately followed by decimal point - Increased detail multiplier for `svgpath` command to match path - Fixed `svgpath` crash when missing `M` command after `Z` - Fixed camera clipping issue when resizing objects - Bumped Euclid to version 0.5.26 ## [1.5.3](https://github.com/nicklockwood/ShapeScript/releases/tag/1.5.3) (2022-07-03) - The `loft` command now supports joining shapes with unequal numbers of sides or points - The `fill`, `lathe` and `extrude` commands now more reliably produce watertight output - Fixed incorrect polygon/triangle counts in model info - Fixed line numbers in selected object info - Bumped Euclid to version 0.5.25 - Fixed some flaky tests ## [1.5.2](https://github.com/nicklockwood/ShapeScript/releases/tag/1.5.2) (2022-05-28) - Fixed bug where path lines were drawn too thin for large models - Improved error messaging for invalid use of option - Fixed suggestions for misspelled commands - Bumped Euclid to version 0.5.21 ## [1.5.1](https://github.com/nicklockwood/ShapeScript/releases/tag/1.5.1) (2022-05-07) - Add implicit `detail/smoothing`, `color/texture`, `position/orientation/size` and `font` options to custom blocks - Logical `and/or` expressions now short circuit (don't evaluate their second parameter unless needed) - Added support for creating `MaterialProperty` from `SCNMaterials` using `NS/UIImage` - Fixed setting camera position on locked documents (such as the Example projects) - Added slightly stronger type safety when calling commands - Fixed axes contrast when using per-camera backgrounds - Fixed font inheritance for user-defined blocks - Added custom fonts to model info display - Added USDZ to list of supported export types - Improved iOS compatibility ## [1.5.0](https://github.com/nicklockwood/ShapeScript/releases/tag/1.5.0) (2022-04-29) - Added support for custom light sources using the `light` command - Added user-defined functions/commands (previously only blocks could be defined) - The width and/or height for exported images can now be set on a per-camera basis - Added `polygon` command for more easily creating regular polygon paths - The scene background can now be set individually for each camera - Using `position`, `orientation` and `size` inside a `path` now works again (broken since 1.4.4) - Using `rnd` command in option default expressions no longer has a knock-on effect on the sequence - Options can now reference local constants in their default values - Material brightness logic used in Viewer app is now part of the ShapeScript core - Using `wrapwidth` or `linespacing` text commands inside an `svgpath` block now raises an error - Fixed blank screen when scene contains empty `camera` node - Removed `StatementType.block` case in favor of expression form - Fixed some bugs in path generation relating to point colors - The `OSColor` typealias is now private - Added SVGPath dependency ## [1.4.7](https://github.com/nicklockwood/ShapeScript/releases/tag/1.4.7) (2022-04-14) - Camera is no longer reset on every reload - Fixed camera snapback if moved during initial model load - Added `smoothing` command for controlling surface normal generation - Disallowed used of `detail` and `font` commands in scopes where they have no effect - The `svgpath` command now works on Linux - Bumped Euclid to version 0.5.20 ## [1.4.6](https://github.com/nicklockwood/ShapeScript/releases/tag/1.4.6) (2022-04-08) - Fixed `svgpath` command (broken in 1.4.5) - Fixed bug where axes were rendered in the wrong color - Watertight status is now displayed in object info panel - The `roundrect` command now works on Linux - Bumped LRUCache to version 1.0.3 - Bumped Euclid to version 0.5.18 ## [1.4.5](https://github.com/nicklockwood/ShapeScript/releases/tag/1.4.5) (2022-03-07) - Added support for setting per-vertex colors in a path - Font, text color and linespacing can now be specified per-line within a text block - Fixed underestimated bounds calculation for extrusion along a path - Made logic for child count calculation more consistent - Bumped Euclid to version 0.5.17 ## [1.4.4](https://github.com/nicklockwood/ShapeScript/releases/tag/1.4.4) (2022-01-21) - Fixed infinite recursion crash when a shape file tries to import itself - Improved error message when imported model file is not readable - Fixed assertion failure when evaluating imported block due to source confusion - Added stricter symbol checking in stdlib so, e.g. name can't be used inside a path - Fixed bug in viewer where examples always open in orthographic mode - Imported gifs are now counted as textures rather than models in info panel - Model type is now displayed correctly in info panel - Fixed some iOS compatibility issues ## [1.4.3](https://github.com/nicklockwood/ShapeScript/releases/tag/1.4.3) (2021-12-25) - ShapeScript will now attempt to ensure generated meshes are watertight by default - Fixed unintended behavior change with blocks returning multiple shapes (introduced in 1.3.7) - Fixed precondition failure when calling a block from inside a `path` command - Camera nodes are no longer included in object count in model info - Handle repeated parameter lists without command tokens in `svgpath` - Added additional `svgpath` error handling - Bumped Euclid to version 0.5.15 ## [1.4.2](https://github.com/nicklockwood/ShapeScript/releases/tag/1.4.2) (2021-12-10) - The `svgpath` command now supports arc instructions ('A' and 'a') - Fixed bug in `svgpath` affecting absolute horizontal ('H') and vertical ('V') lines - Save panel in viewer now adds `.shape` extension to file name if not present - Made online documentation link logic more robust ## [1.4.1](https://github.com/nicklockwood/ShapeScript/releases/tag/1.4.1) (2021-11-22) - Fixed bug where `along` property was ignored in `extrude` command - Fixed wireframe rendering mode in viewer ## [1.4.0](https://github.com/nicklockwood/ShapeScript/releases/tag/1.4.0) (2021-11-03) - Added user-defined cameras - Added boolean constants and operators - Added comparison operators (greater than, equals, etc) - Added `if`/`else` statements - Added `assert` command - Improved suggestions for mistyped operators - Replaced range expression with separate `to` and `step` operators - Failure to load an external model now displays an error instead of failing silently - Added distinct error type for invalid text escape sequences - Simplified identifier expression representation - Converted `option` keyword to contextual keyword - Added `Geometry.worldTransform` property ## [1.3.10](https://github.com/nicklockwood/ShapeScript/releases/tag/1.3.10) (2021-11-01) - DAE files containing triangle strips or non-triangular polygons are now loaded correctly - Fixed empty Geometry names not being set to nil - Fixed broken footer links in help pages - Bumped Euclid to version 0.5.14 ## [1.3.9](https://github.com/nicklockwood/ShapeScript/releases/tag/1.3.9) (2021-10-22) - Added multiple camera options - Added orthographic view option - Reorganized camera menu and keyboard shortcuts - View settings are now saved per-document instead of globally - Fixed bug where camera would reset when toggling wireframe mode - Documents now open in tabs automatically when tab bar is shown ## [1.3.8](https://github.com/nicklockwood/ShapeScript/releases/tag/1.3.8) (2021-10-10) - Added `svgpath` command for creating paths using SVG-compatible syntax - Added `bounds` member property for calculating dimensions of complex shapes - Added `wrapwidth` and `linespacing` options for text - Improved debug command behavior for children of CSG containers - Fixed bug when setting `background` color with a single number (e.g. `0` for black) - Fixed bug where only first expression argument was highlighted in a type-mismatch error ## [1.3.7](https://github.com/nicklockwood/ShapeScript/releases/tag/1.3.7) (2021-09-26) - Added debug command for highlighting invisible geometry - Custom blocks can now return any value type, not just meshes or paths - Infix expressions are now handled correctly when used in a statement position - Improved type mismatch error messages for block parameters - String values are no longer nullable and empty strings are handled more correctly - Nested command calls without parentheses are now handled correctly - Improved type reporting for single-value tuples in error messages - Updated print behavior to better match text interpolation ## [1.3.6](https://github.com/nicklockwood/ShapeScript/releases/tag/1.3.6) (2021-09-21) - Added text interpolation, allowing text strings to be constructed dynamically - Import and textures file paths can now be constructed dynamically - Alpha component of colors can now be overridden with a convenient syntax - Removed confusing references to "string" and "identifier" from error messages - Added ability to load text fonts from a file name or path - Fixed bug where font getter returned texture instead - Improved help documentation ## [1.3.5](https://github.com/nicklockwood/ShapeScript/releases/tag/1.3.5) (2021-09-19) - Numbers can now be used in text blocks - Fixed bug with times/divide operator associativity - Fixed default zoom level in viewer when axes are shown - Fixed bug in scene bounds calculation when children have a transform applied - Improved error message for missing files specified by full path - Limited maximum lineWidth when rendering paths ## [1.3.4](https://github.com/nicklockwood/ShapeScript/releases/tag/1.3.4) (2021-09-17) - The position/size/orientation options can now be used inside `text` blocks - Fixed parsing error when using inline expressions in loop range - Unsupported string escape sequences are now treated as an error - Command parameters are now included in assertion failure error highlighting - Fixed bug with sequential escape sequences in text ## [1.3.3](https://github.com/nicklockwood/ShapeScript/releases/tag/1.3.3) (2021-09-14) - Fixed crash when font is set to an empty string - Fixed incorrect suggestion of `option` for typos in contexts where it isn't available - Print logging in a long/infinite loop no longer freezes UI - Help index is now generated automatically - Improved help for colors and text ## [1.3.2](https://github.com/nicklockwood/ShapeScript/releases/tag/1.3.2) (2021-09-13) - Added stack overflow detection, preventing crashes due to infinite recursion - Added support for underscores in identifiers - Empty and single-element tuples are now permitted (useful in loops and data structures) - Looping over vector, size and color values is no longer permitted (only tuples and ranges) - Geometry `Hashable` implementation is now based on value rather than reference - Bumped Euclid to 0.5.12, which fixes the getters for `Rotation.pitch`/`yaw`/`roll` - Shape position/orientation/size are now read/write properties instead of setters - Wireframes are now rendered with polygons instead of lines on x86, for better quality - Added open/create document prompt when opening app - Improved Welcome view ## [1.3.1](https://github.com/nicklockwood/ShapeScript/releases/tag/1.3.1) (2021-09-07) - Disabled axes by default and added instructions for enabling to help - Added ordinal members for accessing arbitrary tuple elements - Fixed rendering bug when using negative scale values - Fixed bug where functions were able to access local variables of the caller - Fixed dot operator (member lookup) chaining - Added documentation for tuples and structured data access - Bumped Euclid to 0.5.11, which includes several performance optimizations - Fixed issue where console would not clear correctly when reloading - Fixed hint message when missing closing brace - Added `colour` and `grey` as aliases for `color` and `gray` - Made stroke line width proportional to the scene size - Improved logic for default camera zoom level - Increase antialiasing quality in viewer - Updated screenshots and fixed bugs in help examples ## [1.3.0](https://github.com/nicklockwood/ShapeScript/releases/tag/1.3.0) (2021-08-31) - Added new standalone range expression with optional `step` value - For loops can now be used with either range or tuple/vector values - Added support for hex color literals - Added standard color names as constants - Inherited standard library symbols no longer override user-defined constants - All ShapeScript value types now conform to `AnyHashable` - Removed `CustomStringConvertible` conformance from `GeometryType` as it made debugging harder - Renamed `StatementType.node` to `StatementType.block`, since the term was confusing - Bumped Euclid to 0.5.10, which includes several bug fixes and features - Fixed crash when trying to access vector or color members from a non-numeric tuple - Fixed crash when trying to color members from a tuple with more than 4 elements - Accessing vector members on a tuple with more than 3 elements now raises an error - Made unchecked Color initializer private - Removed SceneViewController.snapshot() method - Added option to show axes in ShapeScript Viewer - Wireframe view option in viewer is now rendered using lines instead of SceneKit Debug option - Made wireframe view option persistent across app launches ## [1.2.4](https://github.com/nicklockwood/ShapeScript/releases/tag/1.2.4) (2021-08-25) - Fixed a crash when logging large integer values - Fixed bug where negative numbers would be logged as zero when using the print command - Improved formatting of logged numeric values generally ## [1.2.3](https://github.com/nicklockwood/ShapeScript/releases/tag/1.2.3) (2021-08-24) - Enabled parenthesized expressions to span multiple lines - Improved error message when assigning multiple values to single type - Fixed assigning color literal value to background without parens - Added Color initializers - Added SceneViewController.snapshot() method ## [1.2.2](https://github.com/nicklockwood/ShapeScript/releases/tag/1.2.2) (2021-08-24) - Blocks that accept child values can now be called without braces around them - Fixed confusing error messages caused by mesh commands being unavailable in certain scopes - Made script evaluation cancellable in case of infinite iteration or recursion - Fixed bug in Viewer app where view fails to refresh after loading geometry - Improved and simplified error handling logic ## [1.2.1](https://github.com/nicklockwood/ShapeScript/releases/tag/1.2.1) (2021-08-19) - Fixed crash when `for` loop end index < start index - Improved `print` log output, especially for arrays/tuples and nested values - Added `Loggable` protocol for stringifying values logged using the ShapeScript `print` command - Replaced `TokenType.description` with `TokenType.errorDescription` to aid debugging - Text now supports using \n for line-breaks (this was documented as working, but never implemented) - Fixed confusing error message when first value of tuple matches expected type - Fixed nonsensical error message when a command is used in an expression - Bumped Euclid to 0.5.9, which includes fixes for extruded paths - Extruding along a compound path now forms a union between the resultant shapes - Fixed typos and improved help documentation - Fixed member lookup precedence - Improved test coverage ## [1.2.0](https://github.com/nicklockwood/ShapeScript/releases/tag/1.2.0) (2021-08-15) - Improved progressive rendering logic, reducing wait before seeing first results in viewer - Geometry cache is now limited to ~1GB per open document instead of being unbounded - Cached geometry is now cleared when document is closed instead of persisting for app lifetime - Invalid font names now produce an error instead of silently falling back to Helvetica - Paths are now drawn in white when background is set to a dark color or texture - Fixed an index out-of-bounds crash in the Levenshtein distance function - Bumped Euclid to 0.5.8, which includes several bug fixes - Renamed `GeometryType.none` to the more descriptive `GeometryType.group` - Made `Geometry.mesh` and `Geometry.associatedData` properties thread-safe using `NSLock` - Removed `Scene.deepCopy()` and `Geometry.deepCopy()` methods as instances are now thread-safe - Moved selection logic out of `ShapeScriptLib` and into Viewer example application - Fixed bug in Viewer where geometries would be deselected during progressive loading - Added LRUCache dependency ## [1.1.6](https://github.com/nicklockwood/ShapeScript/releases/tag/1.1.6) (2021-08-04) - Paths are now drawn using polygons strips, which looks sharper and renders more consistently - Made further improvements to cancelling in-progress rendering when reloading a file - Bumped Euclid to 0.5.4, which includes several bug fixes and performance improvements - Improved performance when rendering scenes with nested CSG operations or groups - Fixed rendering and bounds calculation of non-planar extruded shapes ## [1.1.5](https://github.com/nicklockwood/ShapeScript/releases/tag/1.1.5) (2021-08-02) - Info window in ShapeScript Viewer no longer includes imported models in texture count - Fixed a regression in ShapeScript Viewer 1.1.4 where error message wouldn't refresh correctly on reload - Improved error messaging for errors that occur in an imported file - Reloading a partially-rendered scene should now terminate the rendering more quickly, freeing up CPU - Rendering is now cancelled when document is closed (previously it continued in background) - Improved responsiveness of incremental rendering for complex scenes - Program `source` and `statements` properties are now public ## [1.1.4](https://github.com/nicklockwood/ShapeScript/releases/tag/1.1.4) (2021-07-31) - Increased time precision of document file monitoring in ShapeScript Viewer app - Improved threading a progress logging in ShapeScript Viewer app - Added Linux support for ShapeScriptLib (excluding rendering and text functions) - Made static color constants immutable - Bumped Euclid version to 0.5.3 ## [1.1.3](https://github.com/nicklockwood/ShapeScript/releases/tag/1.1.3) (2021-07-10) - Fixed assertion failure if a parsing error occurs at the last character in the `.shape` file - Fixed bug in Path plane calculation that could result in corrupted extrusion shapes - Fixed a tessellation bug affecting anti-clockwise polygons ## [1.1.2](https://github.com/nicklockwood/ShapeScript/releases/tag/1.1.2) (2021-07-03) - Fixed bug where CRLF was treated as two separate linebreaks, resulting in a crash - Error column indicator is now better aligned when code contains wide characters (e.g. emoji) - Fixed inverted black/white squares on chessboard example ## [1.1.1](https://github.com/nicklockwood/ShapeScript/releases/tag/1.1.1) (2021-06-26) - Fixed operator associativity (addition/subtraction were previously right-associative) - Performing CSG operations on complex geometry no longer causes a stack overflow - Bumped Euclid version to 0.4.5 ## [1.1.0](https://github.com/nicklockwood/ShapeScript/releases/tag/1.1.0) (2021-04-08) - Added support for background colors and images - Added debug console - Improved ShapeScript error handling - Object names are now included in info popup - Upgraded project to Swift 5.1 - Bumped Euclid version to 0.4.0 - Fixed Xcode warnings ## [1.0.1](https://github.com/nicklockwood/ShapeScript/releases/tag/1.0.1) (2020-09-03) - Added iOS and tvOS support to ShapeScript framework (Viewer app is still macOS only) - Bumped Euclid version to 0.3.5 ## [1.0.0](https://github.com/nicklockwood/ShapeScript/releases/tag/1.0.0) (2020-09-02) - First release ShapeScript-1.6.14/CONTRIBUTING.md000066400000000000000000000100321450355336000162610ustar00rootroot00000000000000# Contributing to ShapeScript Are you interested in contributing to ShapeScript? Fantastic! Here's what you need to know: ## Versioning ShapeScript follows a variant of [Semantic Versioning](http://semver.org/spec/v2.0.0.html) (semver). 1.0.x releases are for bug fixes and purely additive features, 1.x.0 releases are for breaking changes (under normal semver rules, x.0.0 would be used for breaking changes). Since ShapeScript is an asset creation tool and scripting language implementation as well as a framework, "breaking changes" refers to the interpreted script format and generated geometry as well as the API. Changes to the way scripts are interpreted and/or how geometry is generated by a given function may be considered to be breaking, even if they do not affect the Swift framework API itself. ## Your First Pull Request Making your first pull request can be scary. If you have trouble with any of the contribution rules, **make a pull request anyway**. A PR is the start of a process not the end of it. All types of PR are welcome, but please do read these guidelines carefully to avoid wasting your time and ours. If you are planning something big, or which might be controversial, it's a great idea to create an issue first to discuss it before writing a lot of code. Types of PR: * Documentation fixes - if you've found a typo, or incorrect comment, either in the README or a code comment, feel free to create a PR directly against the **main** branch. * Minor code fixes - a typo in a method name or a trivial bug fix should be made against the **develop** branch. * Major code changes - significant refactors or new functionality should usually be raised as an issue first to avoid wasted effort on a PR that's unlikely to land. This is mainly for your own sake, not ours, so if you prefer to make suggestions in code form then that's fine too. As with fixes, PRs should be made against the **develop** branch. ## Copyright and Licensing Any new source files that you add should include the standard license header used in all the existing files. You may include your own name as the author for files that you created or replaced. By contributing code to ShapeScript, you are implicitly agreeing to license it under the terms described in the LICENSE.md file. Please do not submit code that you did not write or are not authorized to redistribute. Inclusion of 3rd party frameworks is **not** permitted, regardless of the license. Small sections of code copied from somewhere else *may* be acceptable, provided that the terms of the original license are compatible with ShapeScript's LICENSE.md, and that you include a comment linking back to the source. ## Code Style ShapeScript's source code mostly follows the [Ray Wenderlich Style Guide](https://github.com/raywenderlich/swift-style-guide) very closely with the following exception: - Use the Xcode default of 4 spaces for indentation. ## Documentation Code should be commented, but not excessively. In general, comments should follow the principle of *why, not what*, but it's acceptable to use "obvious" comments as headings to break up large blocks of code. Public methods and classes should be commented using the `///` headerdoc style. When making user-facing changes, please update the README.md file if applicable. There is no need to update CHANGELOG.md or bump the version number. ## Tests All significant code changes should be accompanied by a test. Tests are run automatically on all pull requests, branches and tags. These are the same tests that run in Xcode at development time. ## Code of Conduct There will be zero tolerance for rudeness or bullying. If you think somebody else's comment or pull request is stupid, keep it to yourself. If you are frustrated because your issue or pull request isn't getting the attention it deserves, feel free to post a comment like "any update on this?", but remember that we are all busy, and other peoples' priorities don't necessarily match yours. Abusive contributors will be blocked and/or reported, regardless of how valuable their code contributions may be. ShapeScript-1.6.14/Euclid/000077500000000000000000000000001450355336000152415ustar00rootroot00000000000000ShapeScript-1.6.14/Euclid/.gitignore000066400000000000000000000004001450355336000172230ustar00rootroot00000000000000# OS X .DS_Store # Xcode Assets/ build/ html/ .build *.pbxuser !default.pbxuser *.mode1v3 !default.mode1v3 *.mode2v3 !default.mode2v3 *.perspectivev3 !default.perspectivev3 xcuserdata *.xccheckout *.moved-aside DerivedData *.hmap *.ipa *.dot .docc-build/ ShapeScript-1.6.14/Euclid/.swift-version000077500000000000000000000000031450355336000200550ustar00rootroot000000000000005.1ShapeScript-1.6.14/Euclid/.swiftformat000066400000000000000000000003671450355336000176150ustar00rootroot00000000000000--hexgrouping ignore --decimalgrouping ignore --enable isEmpty --ifdef no-indent --self init-only --wraparguments before-first --wrapcollections before-first --maxwidth 120 --lintonly unusedArguments --exclude Build, Tests/XCTestManifests.swift ShapeScript-1.6.14/Euclid/CHANGELOG.md000077500000000000000000000673351450355336000170730ustar00rootroot00000000000000# Change Log ## [0.6.18](https://github.com/nicklockwood/Euclid/releases/tag/0.6.18) (2023-09-22) - Fixed crash on iOS 16 when building with Xcode 15 - Fixed bug in `Path.subpaths` calculation - Added `Polygon.center` computed property - Added `LineSegment`/`Plane` intersection method - Added `Mesh.withoutTexcoords()` method - Redundant texture coordinates are now excluded from RealityKit export - Redundant vertex normals are now excluded from SceneKit export ## [0.6.17](https://github.com/nicklockwood/Euclid/releases/tag/0.6.17) (2023-08-22) - Added `Mesh.stlData()` function for exporting binary STL file data - Added `Mesh.objString()` function for exporting Wavefront OBJ mesh data ## [0.6.16](https://github.com/nicklockwood/Euclid/releases/tag/0.6.16) (2023-08-11) - Fixed `Mesh.stlString()` function ## [0.6.15](https://github.com/nicklockwood/Euclid/releases/tag/0.6.15) (2023-07-30) - Fixed assertion failure in `Polygon.tessellate()` function - Cone `poleDetail` now defaults to `3` instead of `sqrt(slices)` - Improved `Mesh.makeWatertight()` reliability - Improved `LineSegment` intersection detection - Increased threshold for `Plane.containsPoint()` ## [0.6.14](https://github.com/nicklockwood/Euclid/releases/tag/0.6.14) (2023-06-10) - Removed unreachable line flagged in Xcode 15 beta - Fixed some comments ## [0.6.13](https://github.com/nicklockwood/Euclid/releases/tag/0.6.13) (2023-04-22) - Added ASCII STL export function for Mesh - Added `isZero` and `isOne` convenience properties - Reduced cracking/holes for some meshes - Fixed extrusion precision issue ## [0.6.12](https://github.com/nicklockwood/Euclid/releases/tag/0.6.12) (2023-04-04) - Improved default `Path.arc()` segments heuristic - Connecting open subpaths now behaves as expected - Curved join between subpaths can now be overridden ## [0.6.11](https://github.com/nicklockwood/Euclid/releases/tag/0.6.11) (2023-03-02) - Added `Path.arc()` function - Add `Path.latheProfile` property ## [0.6.10](https://github.com/nicklockwood/Euclid/releases/tag/0.6.10) (2023-02-24) - Fixed a precision problem that caused holes when creating a `Mesh` from `SCNGeometry` - Fixed Linux and WASM builds (broken in 0.6.9) ## [0.6.9](https://github.com/nicklockwood/Euclid/releases/tag/0.6.9) (2023-02-09) - Fixed bug when triangulating convex polygons with collinear points - Fixed `Polygon.area` calculation for polygons not located on the XY plane - Fixed `submeshes` property for meshes formed using a union operation ## [0.6.8](https://github.com/nicklockwood/Euclid/releases/tag/0.6.8) (2023-01-16) - Fixed flipped front/back return values for `Mesh.split(along:)` function return value order - Fixed `Mesh.stroke(_ shapes:)` multi-path stroke function when used with open paths - Fixed `align` parameter in `Mesh.extrude(_:along:)` when the extruded shape has subpaths - Fixed internal `rotationBetweenVectors()` function when vectors are parallel and opposite - Fixed assertion failure in `Mesh.clip(to:)` when using `fill` argument - Fixed assertion inverted fill plane in `Mesh.clip(to:)` when input is inverted Z plane - Fixed bug where splitting planar mesh along its plane had no effect - Added `Polygon.split(along:)` and `Polygon.clip(to:)` methods ## [0.6.7](https://github.com/nicklockwood/Euclid/releases/tag/0.6.7) (2023-01-01) - Fixed use of duplicate cross-sections to create sharp junctions in `loft` shapes - Fixed `Path(polygon:)` initializer to create closed path and preserve colors - Added convenience initializers to convert between `Vertex` and `PathPoint` - Added `Path.with(color:)` and `PathPoint.with(color:)` helpers - Added `Mesh(submeshes:)` convenience initializer - Added convenience initializers for `Transform` - Removed obsolete backwards compatibility code ## [0.6.6](https://github.com/nicklockwood/Euclid/releases/tag/0.6.6) (2022-12-17) - Reduced compilation time for some complex expressions to fix Linux build ## [0.6.5](https://github.com/nicklockwood/Euclid/releases/tag/0.6.5) (2022-12-08) - Added `twist` and `sections` parameters for `Mesh.extrude()` methods - Angle correction is now distributed evenly along extrusion length - Added `Path.extrusionContours()` method - Fixed crash when angle is infinite or NaN - Fixed end caps for loft/extrusion shapes ## [0.6.4](https://github.com/nicklockwood/Euclid/releases/tag/0.6.4) (2022-11-21) - Improved default alignment heuristic when extruding along non-planar paths - Added `Alignment` enum for controlling shape alignment when extruding along a path - Fixed bug in face normal calculation for open paths - Added scalar multiply/divide operators for `Rotation` ## [0.6.3](https://github.com/nicklockwood/Euclid/releases/tag/0.6.3) (2022-11-17) - Fixed crash when extruding single-point path - Fixed `Quaternion.axis` when angle is zero - Disfavored `Angle.cos`/`sin`/`tan` overloads to improve ergonomics - Added `Polygon.area` property ## [0.6.2](https://github.com/nicklockwood/Euclid/releases/tag/0.6.2) (2022-11-05) - Added `Mesh.convexHull()` shape constructors - Added `Polygon.orderedEdges` property - Added `LineSegment.inverted()` method ## [0.6.1](https://github.com/nicklockwood/Euclid/releases/tag/0.6.1) (2022-11-02) - Added `Transformable` protocol for all types that can be transformed - Added initializer to create an `SCNMatrix4` from a `Transform` - Transformable types (`Vector`, `Polygon`, `Mesh`, etc.) now support in-place transforms - Swapped disfavored rotation method overloads from `Rotation` to `Quaternion` - Added transform methods and `Transformable` conformance to `LineSegment` - Normalized `Quaternion` at creation time (which fixes an assertion failure in `Plane`) - Attempting to load a `Mesh` from an inaccessible URL now throws instead of failing silently - Fixed assertion failure due to `sortedByPlane()` regression in 0.6.0 - Negative scale factors now behave as expected when applied to `Vertex` - Topology is now preserved when loading a `Mesh` from a URL ## [0.6.0](https://github.com/nicklockwood/Euclid/releases/tag/0.6.0) (2022-10-22) - Added support for rendering Euclid meshes using `RealityKit` - CSG polygon clip operations now run concurrently (Note: `isCancelled` may now be called on any thread) - Euclid `Rotation` now uses a quaternion representation internally rather than a 3x3 matrix - Rotations are now serialized as a more compact 4-element axis/angle array when using `Codable` - Added `axis` and `angle` property getters to `Rotation` and `Quaternion` - Added `slerp()` (spherical linear interpolation) method to `Rotation` - Added `Vector.unitX/Y/Z` constants - The material order when generating `SCNGeometry` is now deterministic - Euclid's `Quaternion` implementation now uses the SIMD framework if available - The `tessellate()` methods now accept an optional `maxSides:` argument - The `Angle` and `Vector` types now conform to the `AdditiveArithmetic` protocol - Polygon materials of type `CGColor` or `CGImage` are now supported automatically in SceneKit - Fixed some common assertion failures when running in debug mode - Improved performance when applying transforms with null/identity values - Removed previously deprecated methods and properties - Raised minimum supported iOS version to 11 ## [0.5.30](https://github.com/nicklockwood/Euclid/releases/tag/0.5.30) (2022-09-26) - Fixed bug where applying negative scale to bounds made it empty ## [0.5.29](https://github.com/nicklockwood/Euclid/releases/tag/0.5.29) (2022-09-03) - Fixed bug where transforming an empty bounds led to nan coordinates - Fixed assertion failure when flattening non-horizontal paths - Added `Mesh.containsPoint()` method - Improved some deprecation messages ## [0.5.28](https://github.com/nicklockwood/Euclid/releases/tag/0.5.28) (2022-08-12) - Fixed crash when bulk CSG methods were called with an empty array - Fixed incorrect result from bulk `Mesh.intersection()` method when input meshes are non-intersecting - Removed legacy behavior in `Mesh.union()` where polygon order was flipped unnecessarily - Bulk CSG methods now work with arbitrary `Collection`s of `Mesh`, not just an `Array` ## [0.5.27](https://github.com/nicklockwood/Euclid/releases/tag/0.5.27) (2022-08-06) - Added efficient methods for filling, extruding and stroking multiple paths - Imported meshes that contain non-planar polygons are now tessellated instead of having holes - Improved logic for removing hairline cracks in imported meshes - Fixed bug where material could be lost when triangulating/tessellating polygons - Fixed bug where `Mesh.submeshes` returned too many submeshes - Fixed retain cycle in `Mesh.submeshes` - Submeshes are now cached for faster access - All cancellation callbacks are now non-escaping ## [0.5.26](https://github.com/nicklockwood/Euclid/releases/tag/0.5.26) (2022-07-24) - SceneKit meshes are now more reliably sealed at import time - Improved triangulation/tessellation of complex convex polygons - Fixed case where `loft` could produce a mesh with redundant back-face polygons - You can now create `Path`s with a single point (useful when lofting) - Fixed crash when lofting zero-scale path - Fixed assertion failure when scaling path by zero vector - Reduced false negatives when comparing `Plane` equality - Improved performance of uniform `Plane` scaling - Added `Sendable` conformance to all applicable types when building with Xcode 14 - Converted unintended static `var` values to `let` - Fixed warnings in Xcode 14 beta ## [0.5.25](https://github.com/nicklockwood/Euclid/releases/tag/0.5.25) (2022-07-03) - Added `Mesh.submeshes` property - Loft now supports path sections with differing point counts - Fixed normals at joints between multipart loft or extrusion shapes - Fixed crash when lofting empty paths ## [0.5.24](https://github.com/nicklockwood/Euclid/releases/tag/0.5.24) (2022-06-26) - Fixed crash when extruding along collinear points - Fixed bug when lofting intermediate open paths - Improved `makeWatertight()` implementation - Improved vertex merging logic to only merge vertices that cause holes - Fixed bugs in triangulation logic that could introduce holes - Fixed case where mesh was incorrectly assumed to be watertight - Vector equality is now exact again, instead of using quantization internally - Fixed spurious assertion when using compound paths ## [0.5.23](https://github.com/nicklockwood/Euclid/releases/tag/0.5.23) (2022-06-09) - Fixed crash in `mergingSimilarVertices()` function - Used heuristic for `mergingSimilarVertices()` instead of hard-coded epsilon - Increased epsilon precision again to fix cracking issues (and added tests) ## [0.5.22](https://github.com/nicklockwood/Euclid/releases/tag/0.5.22) (2022-06-02) - Reduced epsilon precision to fix assertion when creating `Mesh` from `SCNGeometry` - Added WASM (Web Assembly) compatibility tests ## [0.5.21](https://github.com/nicklockwood/Euclid/releases/tag/0.5.21) (2022-05-28) - Fixed a glitch with how stroke or extrude-along was applied to paths with sharp corners - Fixed a bug where PathPoint colors were incorrectly applied for non-closed paths - The `pivot` property is now taken into account when creating `Mesh` from an `SCNNode` - Added ability to create a `Transform` from an `SCNMatrix4` - Fixed warnings in Xcode 13.4 ## [0.5.20](https://github.com/nicklockwood/Euclid/releases/tag/0.5.20) (2022-04-12) - Added input sanitization to `Angle.acos()` and `Angle.asin()` (fixes `Mesh.smoothNormals()`) - Changed `Mesh.smoothNormals()` threshold check from `<=` to `<` - Improved `Mesh.smoothNormals()` performance ## [0.5.19](https://github.com/nicklockwood/Euclid/releases/tag/0.5.19) (2022-04-11) - Improved `Mesh.makeWatertight()` reliability - Meshes created from SceneKit primitives are now watertight - Increased `LineSegment.containsPoint()` tolerance - Added `Mesh.detriangulate()` method - Added `Mesh.smoothNormals()` function ## [0.5.18](https://github.com/nicklockwood/Euclid/releases/tag/0.5.18) (2022-04-08) - Added `Mesh.empty` constant - Added `Path.roundedRectangle()` method - Fixed assertion failure due to incorrect `isWatertight` assumption - Fixed precision issue with `LineSegment.containsPoint()` method - The `Polygon(_: [Vector])` constructor now takes any `Vector` sequence - Added `Vector` -> `CGize` conversion functions - Renamed `Path(cgPath:)` to `Path(_:)` for consistency - Renamed `Mesh(text:)` constructor to `Mesh.text()` - Replaced broken `SCNNode`/`URL` Mesh initializers - Deprecated `Vector.quantized()` method - Fixed warnings in Xcode 13.3 ## [0.5.17](https://github.com/nicklockwood/Euclid/releases/tag/0.5.17) (2022-02-23) - Euclid now includes full DocC documentation (big thanks to Joseph Heck for making this happen) - Fixed unused vertex color parameter in `Path.line()` constructor - Added missing `w` component to `Quaternion.components` property - Fixed unused detail argument in `Mesh(text:)` constructor - Fixed a bug in the `faceNormalForPolygonPoints()` utility function - Fixed bug in `Plane.intersection(with: Plane)` calculation ## [0.5.16](https://github.com/nicklockwood/Euclid/releases/tag/0.5.16) (2022-01-04) - Added `Vertex.color` property - Added `PathPoint.color` property - Added `color` parameters for `Path` constructors - Added `lerp()` functions for `Color` collections - Added check to skip all-zero texture coordinates when exporting to SceneKit ## [0.5.15](https://github.com/nicklockwood/Euclid/releases/tag/0.5.15) (2021-12-22) - Added `Mesh.makeWatertight()` method, for removing hairline cracks in meshes - Vector `==` operator now returns approximate equality, solving some issues with quantization - The `Mesh.isWatertight` getter is now a stored property, so cheaper to access - Added unordered min/max point initializer for `Bounds` - Added convenience initializer for uniform-sized Vectors - Fixed assertion failure when creating a polygon with < 3 points - Improved performance for `Mesh.polygonsByMaterial` getter - Added `Mesh.edges(intersecting:)` method - Added `Bounds.inset()` methods ## [0.5.14](https://github.com/nicklockwood/Euclid/releases/tag/0.5.14) (2021-11-01) - Added support for `triangleStrip` and `polygon` primitives when creating a `Mesh` from `SCNGeometry` - Creating a `Mesh` from an `SCNGeometry` now returns nil if the mesh can't be loaded ## [0.5.13](https://github.com/nicklockwood/Euclid/releases/tag/0.5.13) (2021-10-15) - Fixed support for Mac Catalyst ## [0.5.12](https://github.com/nicklockwood/Euclid/releases/tag/0.5.12) (2021-09-12) - Added `Quaternion` type as an alternative representation for rotations - The `Rotation.pitch`/`yaw`/`roll` properties should now return correct values - Fixed bug when defining a zero-width rectangle path - Fixed bug when encoding vertices with zeroed normals ## [0.5.11](https://github.com/nicklockwood/Euclid/releases/tag/0.5.11) (2021-09-03) - Added `Mesh.stroke()` function variant for generating wireframes - Added `Mesh.loft()` optimization for common cases - Added optimized `Mesh.merge()` function for merging multiple meshes at once - Added `Bounds.formUnion()` and `Bounds.formIntersection()` functions - Added fast-path optimization for `Polygon.triangulate()` - Improved compilation time for the CSG `Mesh.union()` function - Deprecated `Mesh.scaleCorrected()` and `Polygon.scaleCorrected()` - Tweaked `Bounds.isEmpty` logic so that zero volume counts as empty ## [0.5.10](https://github.com/nicklockwood/Euclid/releases/tag/0.5.10) (2021-08-30) - Added `Color` type for convenient cross-platform color materials - Fixed bug when calculating face normal for very small paths - Texture coordinates are now preserved when using the `Path.curve()` constructor - Fixed bug where `Angle.atan()` was actually calling `tan()` instead - Added `Path.line()` constructor for creating straight lines - Added `Path.polygon()` constructor for creating regular polygons - Added `Path.text(_:font:)` convenience constructor - Improved `Mesh.stroke()` constructor to allow for variable detail ## [0.5.9](https://github.com/nicklockwood/Euclid/releases/tag/0.5.9) (2021-08-19) - Fixed relative orientation when extruding along a path - Fixed missing face polygons when extruding along a complex shape such as text - Fixed back-face duplication when lofting a line shape - Fixed assertion in `Path(points:)` when creating a simple line shape - Fixed assertion when lofting complex shapes like text ## [0.5.8](https://github.com/nicklockwood/Euclid/releases/tag/0.5.8) (2021-08-15) - Fixed several bugs in `Polygon` validation that could lead to cracks in generated meshes - Fixed spurious assertion in `Path(points:)` initializer ## [0.5.7](https://github.com/nicklockwood/Euclid/releases/tag/0.5.7) (2021-08-13) - Fixed a regression in `SCNGeometry(_ path:)` introduced in version 0.3.6 ## [0.5.6](https://github.com/nicklockwood/Euclid/releases/tag/0.5.6) (2021-08-10) - Fixed axis alignment bug when extruding complex shapes along a custom path - Increased epsilon precision to fix mesh corruption issues in extruded text paths ## [0.5.5](https://github.com/nicklockwood/Euclid/releases/tag/0.5.5) (2021-08-09) - Vertices with zero normals are automatically corrected to use the face normal - Vertex normals are now optional - Polygons can now be created from an array of vector positions (normals are set automatically) - Imported models are now converted to use Y-up automatically, matching SceneKit convention ## [0.5.4](https://github.com/nicklockwood/Euclid/releases/tag/0.5.4) (2021-08-04) - Fixed a regression in `Mesh.fill()` introduced in 0.5.0 that affected nested paths (e.g. text) - Fixed a bug in the calculation of vertex normals for non-planar paths - Fixed a bug where extruding non-planar paths could result in an inside-out mesh - Lengthy CSG operations can now be interrupted by using the optional `isCancelled` callback - Improved `Mesh.xor()` and `Mesh.stencil()` performance by merging CSG steps - Self-intersecting paths can now be lathed - Added `Path.stroke()` method ## [0.5.3](https://github.com/nicklockwood/Euclid/releases/tag/0.5.3) (2021-07-30) - Slightly improved the performance of bounds checking during CSG operations - The `Polygon.bounds` is no longer a stored property, which should reduce memory footprint - Coincident `Line`s will now always be equal, even if initialized with a different `origin` - Fixed a bug where Z component was ignored when testing for `LineSegment` intersection - Fixed a performance regression in `Vector.distance(from: Plane)`, introduced in version 0.5.0 - Added `min()`/`max()` functions for component-wise comparison of `Vector`s - Added `Line.intersection(with: Plane)` method ## [0.5.2](https://github.com/nicklockwood/Euclid/releases/tag/0.5.2) (2021-07-28) - Fixed some bugs when serializing texture coordinates with a non-zero Z component - Fixed assertion in `shortestLineBetween()` utility function - Fixed spurious assertion in `LineSegment` initializer - The identity `Rotation` is now encoded more compactly when serializing - Added a more compact serialized encoding for `Line` and `LineSegment` - Added `Vector(size:)` initializer with better defaults for size/scale vectors ## [0.5.1](https://github.com/nicklockwood/Euclid/releases/tag/0.5.1) (2021-07-25) - Added `LineSegment.containsPoint()` method - Added `Mesh.isWatertight` property to determine if a mesh contains holes - Reduced BSP construction time when performing CSG operations on convex meshes - Fixed edge case where `Mesh.detessellate()` function would fail to merge adjacent polygons - Fixed bug where CSG operations would sometimes unnecessarily tesselate polygons - Improved back-face insertion logic for lofted paths ## [0.5.0](https://github.com/nicklockwood/Euclid/releases/tag/0.5.0) (2021-07-12) - Added `Mesh.detessellate()` method and `Mesh.uniqueEdges` property - `Mesh` initializer no longer tessellates non-convex polygons automatically - Added methods for computing intersections and distances between points, planes and lines - `Line` and `LineSegment` intersection methods now correctly work for lines in different planes - `Polygon` initializer now rejects vertices that would form self-intersecting edges - Fixed crash when attempting to create fill or lathe meshes from self-intersecting paths - Fixed certain cases where `Path.edgeVertices` would produce inverted normals - Added method to easily create a `Path` from a `Polygon` - Texture coordinates with a non-zero Z component are now serialized correctly - Added optional `texcoord` property to `PathPoint`s - The `Mesh.fill()`, `Mesh.extrude()` and `Mesh.loft()` methods now work with non-planar paths - The `Path.faceVertices` property now works correctly for non-planar paths - Added `Path.facePolygons()` method for filling non-planar paths ## [0.4.7](https://github.com/nicklockwood/Euclid/releases/tag/0.4.7) (2021-07-09) - Fixed tessellation bug affecting anti-clockwise polygons - Fixed bug where `Mesh(url:materialLookup:)` initializer ignored `materialLookup:` parameter - Made `SCNGeometry(polygons:)` `materialLookup:` callback return value optional for consistency ## [0.4.6](https://github.com/nicklockwood/Euclid/releases/tag/0.4.6) (2021-07-04) - Fixed bug in Path plane calculation that could result in corrupted extrusion shapes - Fixed edge case in logic for detecting degenerate polygons - Added +=, -=, *= and /= Vector operators - Added `Vector.translated(by:)` function ## [0.4.5](https://github.com/nicklockwood/Euclid/releases/tag/0.4.5) (2021-06-26) - Rewrote CSG operations to use iteration rather than recursion, so they no longer overflow stack - Add methods to create a Mesh from an SCNNode or file url (in any ModelIO-supported format) - Removed spurious assertion failure when creating paths with multiple subpaths ## [0.4.4](https://github.com/nicklockwood/Euclid/releases/tag/0.4.4) (2021-04-27) - Fixed glitch in CSG operations on multiple meshes - Improved performance for CSG functions on non-convex meshes ## [0.4.3](https://github.com/nicklockwood/Euclid/releases/tag/0.4.3) (2021-04-24) - Added up, right, forward vectors to Rotation - Removed unused file ## [0.4.2](https://github.com/nicklockwood/Euclid/releases/tag/0.4.2) (2021-04-16) - Reduced size of serialized mesh data by ~50% - Materials are now deduplicated when encoding/decoding - Fixed bug when decoding serialized rotation values ## [0.4.1](https://github.com/nicklockwood/Euclid/releases/tag/0.4.1) (2021-04-14) - Fixed bug with encoding texture coordinates - Material property is no longer encoded for polygons if nil ## [0.4.0](https://github.com/nicklockwood/Euclid/releases/tag/0.4.0) (2021-04-04) - Added type-safe Angle API replacing raw Doubles - Added plane intersection and direction utility functions - Upgraded project to Swift 5.1 ## [0.3.6](https://github.com/nicklockwood/Euclid/releases/tag/0.3.6) (2020-11-22) - Euclid types now conform to Codable for easy serialization - Added default implementation for SCNMaterial mapping - Fixed bug where SCNGeometry detail argument was ignored - Added missing Embed Frameworks phase to example app ## [0.3.5](https://github.com/nicklockwood/Euclid/releases/tag/0.3.5) (2020-09-03) - Fixed bug with loft function when two edges are not parallel, resulting in a non-planar polygon ## [0.3.4](https://github.com/nicklockwood/Euclid/releases/tag/0.3.4) (2020-05-23) - Fixed issue where shapes extruded a long a path were sometimes tilted (not perpendicular to path) - Fixed internal random number generator (broken by a change introduced in Swift 5.2) - Simplified path to SCNGeometry conversion ## [0.3.3](https://github.com/nicklockwood/Euclid/releases/tag/0.3.3) (2020-04-13) - Fixed a precision issue when forming unions between meshes with coinciding surfaces ## [0.3.2](https://github.com/nicklockwood/Euclid/releases/tag/0.3.2) (2020-04-12) - Added ability to extrude a shape along a path ## [0.3.1](https://github.com/nicklockwood/Euclid/releases/tag/0.3.1) (2020-03-22) - Fixed a bug where cubic bezier components of `CGPath`s were not handled correctly - Fixed some bugs in the plane clipping algorithm - Slightly reduced compilation time ## [0.3.0](https://github.com/nicklockwood/Euclid/releases/tag/0.3.0) (2020-01-22) - Significantly improved performance for CSG functions, especially for convex meshes - Fixed bug where `Path.circle` and `Path.ellipse` could produce unclosed polygon - `Mesh.polygons` is now read-only. Use initializer or `merge` functions to modify mesh - Added mesh tessellation/inversion methods ## [0.2.3](https://github.com/nicklockwood/Euclid/releases/tag/0.2.3) (2020-01-14) - Improved CSG performance by another 2X by converting Polygon to a reference type internally - Improved `polygonsByMaterial` getter for Mesh, which also speeds up conversion to SceneKit Geometry ## [0.2.2](https://github.com/nicklockwood/Euclid/releases/tag/0.2.2) (2020-01-11) - Fixed infinite loop when constructing BSP for CSG operations - Clip to plane function now fills correctly if plane does not pass through the origin - LineSegment initializer is now public ## [0.2.1](https://github.com/nicklockwood/Euclid/releases/tag/0.2.1) (2020-01-11) - Improved CSG performance by 2X on average - Added methods for clipping or splitting a Mesh along a Plane - Added computed components property to Vector - Added methods to compute distance and projection between a point and Plane - Fixed some bugs relating to coplanar polygon clipping ## [0.2.0](https://github.com/nicklockwood/Euclid/releases/tag/0.2.0) (2020-01-04) - Added Swift 5 compatibility fixes - Added Line and LineSegment types - Unified iOS and macOS framework targets ## [0.1.9](https://github.com/nicklockwood/Euclid/releases/tag/0.1.9) (2019-04-03) - Fixed polygon triangulation edge case - Improved automatic sanitization of paths with degenerate vertices - Paths with subpaths now display correctly when rendered with SceneKit - Further improved text rendering performance - Added methods for transforming planes ## [0.1.8](https://github.com/nicklockwood/Euclid/releases/tag/0.1.8) (2019-03-28) - Added support for multiple subpaths within a single Path instance - CGPaths can now be converted to a single Path instead of an array of subpaths - Added methods for performing bulk CSG operations on arrays of meshes - Improved text rendering performance ## [0.1.7](https://github.com/nicklockwood/Euclid/releases/tag/0.1.7) (2019-03-11) - Added support for creating Euclid Paths from a Core Graphics CGPath - Added support for rendering 2D or extruded 3D text using Core Text - Fixed some bugs in triangulation that occasionally caused concave polygons not to render - Fixed a bug where material was not set correctly for extrusions with a depth of zero - Added XOR CSG function (useful for rendering text) - Added ellipse constructor for Path ## [0.1.6](https://github.com/nicklockwood/Euclid/releases/tag/0.1.6) (2019-02-27) - Improved CSG operations on coplanar polygons - Default radius for circle Path is now 0.5 instead of 1.0 - Added Linux test suite ## [0.1.5](https://github.com/nicklockwood/Euclid/releases/tag/0.1.5) (2019-01-21) - Reduced epsilon value in order to avoid precision-related bugs - Fixed an occasional assertion failure in triangulation logic - Polygon initializer now checks that points are planar - Mesh and Polygon now conform to Hashable - Added ability to convert SceneKit geometry back to a Mesh ## [0.1.4](https://github.com/nicklockwood/Euclid/releases/tag/0.1.4) (2019-01-09) - Fixed bug with Vector transform application order (also affected Bounds calculation) ## [0.1.3](https://github.com/nicklockwood/Euclid/releases/tag/0.1.3) (2018-12-19) - Fixed bug in Plane calculation for closed Paths ## [0.1.2](https://github.com/nicklockwood/Euclid/releases/tag/0.1.2) (2018-12-14) - Polygon constructor now accepts concave vertices - Added missing transform methods - Improved polygon merging performance - Improved tessellation algorithm ## [0.1.1](https://github.com/nicklockwood/Euclid/releases/tag/0.1.1) (2018-12-12) - Fixed some bugs in the order of application of Transforms - Fixed mixed up pitch, yaw and roll logic ## [0.1.0](https://github.com/nicklockwood/Euclid/releases/tag/0.1.0) (2018-12-11) - First release ShapeScript-1.6.14/Euclid/CONTRIBUTING.md000066400000000000000000000076451450355336000175060ustar00rootroot00000000000000# Contributing to Euclid Are you interested in contributing to Euclid? Fantastic! Here's what you need to know: ## Versioning Euclid follows the principles of [Semantic Versioning](http://semver.org/spec/v2.0.0.html) (semver), however since Euclid is still pre-1.0, the rules are a little less strict. In general, 0.0.x releases are for bug fixes and non-breaking changes, and 0.x.0 releases are for breaking changes. Since Euclid is an asset creation tool as well as a framework, "breaking changes" refers to the generated geometry as well as the API. Changes to the way geometry is generated or tessellated by a given function are considered to be breaking, even if they do not affect the framework API. ## Your First Pull Request Making your first pull request can be scary. If you have trouble with any of the contribution rules, **make a pull request anyway**. A PR is the start of a process not the end of it. All types of PR are welcome, but please do read these guidelines carefully to avoid wasting your time and ours. If you are planning something big, or which might be controversial, it's a great idea to create an issue first to discuss it before writing a lot of code. Types of PR: * Documentation fixes - if you've found a typo, or incorrect comment, either in the README or a code comment, feel free to create a PR directly against the **main** branch. * Minor code fixes - a typo in a method name or a trivial bug fix should be made against the **develop** branch. * Major code changes - significant refactors or new functionality should usually be raised as an issue first to avoid wasted effort on a PR that's unlikely to land. This is mainly for your own sake, not ours, so if you prefer to make suggestions in code form then that's fine too. As with fixes, PRs should be made against the **develop** branch. ## Copyright and Licensing Any new source files that you add should include the standard license header used in all the existing files. You may include your own name as the author for files that you created or replaced. By contributing code to Euclid, you are implicitly agreeing to license it under the terms described in the LICENSE.md file. Please do not submit code that you did not write or are not authorized to redistribute. Inclusion of 3rd party frameworks is **not** permitted, regardless of the license. Small sections of code copied from somewhere else *may* be acceptable, provided that the terms of the original license are compatible with Euclid's LICENSE.md, and that you include a comment linking back to the source. ## Code Style Euclid's source code mostly follows the [Ray Wenderlich Style Guide](https://github.com/raywenderlich/swift-style-guide) very closely with the following exception: - Use the Xcode default of 4 spaces for indentation. ## Documentation Code should be commented, but not excessively. In general, comments should follow the principle of *why, not what*, but it's acceptable to use "obvious" comments as headings to break up large blocks of code. Public methods and classes should be commented using the `///` headerdoc style. When making user-facing changes, please update the README.md file if applicable. There is no need to update CHANGELOG.md or bump the version number. ## Tests All significant code changes should be accompanied by a test. Tests are run automatically on all pull requests, branches and tags. These are the same tests that run in Xcode at development time. ## Code of Conduct There will be zero tolerance for rudeness or bullying. If you think somebody else's comment or pull request is stupid, keep it to yourself. If you are frustrated because your issue or pull request isn't getting the attention it deserves, feel free to post a comment like "any update on this?", but remember that we are all busy, and other peoples' priorities don't necessarily match yours. Abusive contributors will be blocked and/or reported, regardless of how valuable their code contributions may be. ShapeScript-1.6.14/Euclid/Euclid.docc/000077500000000000000000000000001450355336000173555ustar00rootroot00000000000000ShapeScript-1.6.14/Euclid/Euclid.docc/ConstructingMeshes.md000066400000000000000000000200651450355336000235310ustar00rootroot00000000000000# Constructing Meshes Define 3D objects by constructing meshes. ## Overview To create a 3D object, create a ``Mesh`` in Euclid. You can manually create an array of ``Polygon`` instances, but that's pretty tedious. Euclid offers a number of helper methods to quickly create complex geometry. ### Primitive Geometry The simplest way to create a ``Mesh`` is to start with an existing primitive, such as a cube or sphere. The following primitive types are available in Euclid, and are defined as static constructor methods on ``Mesh``: - ``Mesh/cube(center:size:faces:material:)-imdm`` - A cubic ``Mesh`` (or cuboid, if you specify different values for the width, height and/or depth). - ``Mesh/sphere(radius:slices:stacks:poleDetail:faces:wrapMode:material:)`` - A spherical `Mesh`. - ``Mesh/cylinder(radius:height:slices:poleDetail:faces:wrapMode:material:)`` - A cylindrical `Mesh`. - ``Mesh/cone(radius:height:slices:poleDetail:addDetailAtBottomPole:faces:wrapMode:material:)`` - A conical ``Mesh``. All `Mesh` instances are made of flat polygons. Since true curves cannot be represented using straight edges, the `sphere`, `cylinder` and `cone` primitives are approximations. Control the quality of these approximations by using the `slices` and/or `stacks` parameters to configure the level of detail. In addition to the 3D ``Mesh`` primitives listed, there are also 2D ``Path`` primitives. These are implemented as static constructor methods on the ``Path`` type instead of ``Mesh``: - ``Path/line(_:color:)`` - A straight line. - ``Path/ellipse(width:height:segments:color:)``- A closed, elliptical ``Path``. - ``Path/circle(radius:segments:color:)`` - A closed, circular ``Path``. - ``Path/rectangle(width:height:color:)`` - A closed, rectangular ``Path``. - ``Path/roundedRectangle(width:height:radius:detail:color:)`` - A closed, rectangular ``Path`` with rounded corners. - ``Path/square(size:color:)`` - Same as ``Path/rectangle(width:height:color:)``, but with equal width and height. - ``Path/polygon(radius:sides:color:)`` - A regular polygon shape (not to be confused with Euclid's ``Polygon`` type). ### Builders Geometric primitives are all very well, but there is a limit to what you can create by combining spheres, cubes, etc. As an intermediate step between the extremes of using predefined primitives or individually positioning polygons, you can use *builders*. Builders create a ``Mesh`` from a (typically) 2D ``Path``. The following builders are defined as static constructor functions on the ``Mesh`` type: - ``Mesh/fill(_:faces:material:)`` - This builder fills a single `Path` to create a pair of `Polygon`s (front and back faces). - ``Mesh/stroke(_:width:detail:material:isCancelled:)-85o14`` - This builder strokes a single `Path` to create a strip or tube. A second variant (``Mesh/stroke(_:width:detail:material:)``) of the function accepts an array of ``LineSegment``, which is convenient for creating a wireframe geometry from the `uniqueEdges` of a ``Mesh``. - ``Mesh/lathe(_:slices:poleDetail:addDetailForFlatPoles:faces:wrapMode:material:)`` - This builder takes a 2D ``Path`` and rotates it around the Y-axis to create a rotationally symmetrical ``Mesh``. This is an easy way to create complex shapes like candlesticks, chess pieces, rocket ships, etc. - ``Mesh/extrude(_:along:twist:align:faces:material:isCancelled:)`` - This builder fills a ``Path`` and extrudes it along its axis, or another path. This can turn a circular path into a tube, or a square into a cube etc. - ``Mesh/loft(_:faces:material:)`` - This builder is similar to ``Mesh/extrude(_:along:twist:align:faces:material:isCancelled:)``, but takes multiple ``Path`` instances and joins them. The sequence of ``Path`` instances do not need to be the same shape, but must all have the same number of points and subpaths. To work correctly, each ``Path`` must be pre-positioned in 3D space so they do not all lie on the same plane. - ``Mesh/convexHull(of:material:)-4hvi3`` - Similar the the ``Mesh/loft(_:faces:material:)`` builder, this method can form a Mesh by wrapping a skin around one or more ``Path`` instances. But unlike the other builders, in addition to paths you can also form a convex hull around a collection of meshes, polygons, vertices or points. ### Curves Builders are a powerful tool for creating interesting ``Mesh`` instances from one or more ``Path`` instances, but what about creating an interesting ``Path`` in the first place? Creating a polygonal ``Path`` by specifying points individually is straightforward, but creating *curves* that way is tedious. That's where *Bezier* curves come in. Beziers allow you to specify complex curves using just a few control points. Euclid exposes this feature via the ``Path/curve(_:detail:)`` constructor method. The ``Path/curve(_:detail:)`` method takes an array of ``PathPoint`` and a `detail` argument. Normally, the ``PathPoint/isCurved`` property is used to calculate surface normals (for lighting purposes), but with the ``Path/curve(_:detail:)`` method it actually affects the shape of the ``Path``. A sequence of regular (non-curved) ``PathPoint``s create sharp corners in the ``Path`` as normal, but curved ones are treated as off-curve Bezier control points. The `detail` argument of the ``Path/curve(_:detail:)`` method controls how many line segments are used to approximate the curve. The ``Path/curve(_:detail:)`` method uses second-order (quadratic) Bezier curves, where each curve has two on-curve end points and a single off-curve control point. If two curved ``PathPoint`` are used in sequence then an on-curve point is interpolated between them. It is therefore possible to create curves entirely out of curved (off-curve) control points. This approach to curve generation is based on the popular [TrueType (TTF) font system](https://developer.apple.com/fonts/TrueType-Reference-Manual/RM01/Chap1.html), and provides a good balance between simplicity and flexibility. For more complex curves, on macOS and iOS you can create Euclid ``Path`` from a Core Graphics `CGPath` by using the `CGPath.paths()` extension method. `CGPath` supports cubic bezier curves as well as quadratic. ### Constructive Solid Geometry (CSG) CSG is another powerful tool for creating intricate geometry. CSG allows you to perform boolean operations (logical AND, OR, etc.) on solid shapes. The following CSG operations are defined as methods on the ``Mesh`` type: - ``Mesh/subtract(_:isCancelled:)`` - Subtracts the volume of one `Mesh` from another. - ``Mesh/xor(_:isCancelled:)-swift.type.method`` - Produces a shape representing the non-overlapping parts of the input `Mesh`es (this is useful for rendering text glyphs). - ``Mesh/union(_:isCancelled:)-swift.method`` - Combines two intersecting `Mesh`es, removing internal faces and leaving only the outer shell around both shapes (logical OR). - ``Mesh/intersection(_:isCancelled:)`` - Returns a single ``Mesh`` representing the common volume of two intersecting ``Mesh``es (logical AND). - ``Mesh/stencil(_:isCancelled:)-swift.method`` - This effectively "paints" part of one ``Mesh`` with the material from another. All CSG operations require ``Mesh``es that are "watertight", that is they have no holes in their surface. Using a CSG operation on a mesh that isn't sealed may result in unexpected results. ### Text On macOS and iOS you can make use of Euclid's Core Text integration to create 2D or 3D extruded text. The ``Path/text(_:width:detail:)`` method produces an array of 2D ``Path`` that represent the contours of each glyph in an `AttributedString`. You can use these paths with either ``Mesh/fill(_:faces:material:)`` or ``Mesh/extrude(_:depth:twist:sections:faces:material:isCancelled:)`` builder methods to create solid text. Alternatively, the ``Mesh/text(_:font:width:depth:detail:material:)`` constructor directly produces an extruded 3D text model from a `String` or `AttributedString`. Each glyph in the input string maps to a single ``Path`` in the result, but these ``Path``s may contain nested subpaths. Glyphs formed from multiple subpaths will be filled using the even-odd rule (equivalent to an `xor` between the individually filled or extruded subpaths). ShapeScript-1.6.14/Euclid/Euclid.docc/Euclid.md000066400000000000000000000033451450355336000211110ustar00rootroot00000000000000# ``Euclid`` Euclid is a library for creating and manipulating 3D geometry using techniques such as extruding or "lathing" 2D paths to create solid 3D shapes, and CSG (Constructive Solid Geometry) to combine or subtract those shapes from one another. ## Overview Euclid is the underlying implementation for the open source [ShapeScript scripting language](https://github.com/nicklockwood/ShapeScript) and [ShapeScript macOS app](https://itunes.apple.com/app/id1441135869). Anything you can build in ShapeScript can be replicated programmatically in Swift using this library. If you would like to support the development of Euclid, please consider buying a copy of ShapeScript (the app itself is free, but there is an in-app purchase to unlock some features). You can also donate directly to the project via PayPal: [![Donate via PayPal](https://www.paypalobjects.com/en_GB/i/btn/btn_donate_LG.gif)](https://www.paypal.com/cgi-bin/webscr?cmd=_s-xclick&hosted_button_id=UJWT2RWPE7VA8&source=url) **Note:** Euclid is a fairly complex piece of code, at a fairly early stage of development. You should expect some bugs and breaking changes over the first few releases, and the documentation is a little sparse. Please report any issues you encounter, and I will do my best to fix them. ## Topics ### Using Euclid - - ### Surfaces - ``Mesh`` - ``Polygon`` ### Lines and Paths - ``Path`` - ``PathPoint`` - ``Line`` - ``LineSegment`` ### Rotations and Transforms - ``Rotation`` - ``Transform`` - ``Quaternion`` - ``Angle`` ### Fundamental Types - ``Vector`` - ``Bounds`` - ``Plane`` - ``Vertex`` - ``Color`` ### Supporting Functions - ``sin(_:)`` - ``cos(_:)`` - ``tan(_:)`` - ``min(_:_:)`` - ``max(_:_:)`` ShapeScript-1.6.14/Euclid/Euclid.docc/Extensions/000077500000000000000000000000001450355336000215145ustar00rootroot00000000000000ShapeScript-1.6.14/Euclid/Euclid.docc/Extensions/Angle.md000066400000000000000000000012401450355336000230610ustar00rootroot00000000000000# ``Euclid/Angle`` ## Topics ### Creating Angles - ``Angle/init(degrees:)`` - ``Angle/init(radians:)`` - ``Angle/degrees(_:)`` - ``Angle/radians(_:)`` ### Default Angles - ``Angle/zero`` - ``Angle/halfPi`` - ``Angle/pi`` - ``Angle/twoPi`` ### Angle Properties - ``Angle/degrees`` - ``Angle/radians`` - ``Angle/isZero`` ### Computing Angles - ``Angle/-(_:)`` - ``Angle/-(_:_:)`` - ``Angle/*(_:_:)-2ew65`` - ``Angle/*(_:_:)-8l78z`` - ``Angle//(_:_:)`` - ``Angle/+(_:_:)`` - ``Angle/acos(_:)`` - ``Angle/asin(_:)`` - ``Angle/atan(_:)`` - ``Angle/atan2(y:x:)`` ### Mutating Angles - ``Angle/+=(_:_:)`` - ``Angle/-=(_:_:)`` - ``Angle/*=(_:_:)`` - ``Angle//=(_:_:)`` ShapeScript-1.6.14/Euclid/Euclid.docc/Extensions/Bounds.md000066400000000000000000000015761450355336000233010ustar00rootroot00000000000000# ``Euclid/Bounds`` ## Topics ### Creating Bounds - ``Bounds/init(_:_:)`` - ``Bounds/init(_:)`` - ``Bounds/init(bounds:)`` - ``Bounds/init(min:max:)`` - ``Bounds/init(points:)`` - ``Bounds/init(polygons:)`` ### Default Bounds - ``Bounds/empty`` ### Bounds Properties - ``Bounds/min`` - ``Bounds/max`` - ``Bounds/size`` - ``Bounds/center`` - ``Bounds/corners`` - ``Bounds/isEmpty`` ### Comparing Bounds - ``Bounds/containsPoint(_:)`` - ``Bounds/intersects(_:)-7br6p`` - ``Bounds/intersects(_:)-95v17`` ### Combining and Modifying Bounds - ``Bounds/inset(by:)-49ykf`` - ``Bounds/inset(by:)-4gk62`` - ``Bounds/intersection(_:)`` - ``Bounds/union(_:)`` - ``Bounds/formIntersection(_:)`` - ``Bounds/formUnion(_:)`` ### Transforming Bounds - ``Bounds/rotated(by:)`` - ``Bounds/scaled(by:)-5dvvh`` - ``Bounds/scaled(by:)-6epo6`` - ``Bounds/translated(by:)`` - ``Bounds/transformed(by:)`` ShapeScript-1.6.14/Euclid/Euclid.docc/Extensions/Color.md000066400000000000000000000010211450355336000231060ustar00rootroot00000000000000# ``Euclid/Color`` ## Topics ### Creating a Color - ``Color/init(_:_:_:_:)`` - ``Color/init(_:_:)`` - ``Color/init(_:)-25eby`` - ``Color/init(_:)-53lhy`` - ``Color/init(_:)-7d8un`` ### Default Colors - ``Color/clear`` - ``Color/black`` - ``Color/white`` - ``Color/gray`` - ``Color/red`` - ``Color/green`` - ``Color/blue`` - ``Color/yellow`` - ``Color/cyan`` - ``Color/magenta`` - ``Color/orange`` ### Color properties - ``Color/r`` - ``Color/g`` - ``Color/b`` - ``Color/a`` ### Mutating Colors - ``Color/withAlpha(_:)`` ShapeScript-1.6.14/Euclid/Euclid.docc/Extensions/Line.md000066400000000000000000000005771450355336000227360ustar00rootroot00000000000000# ``Euclid/Line`` ## Topics ### Creating Lines - ``Line/init(_:)`` - ``Line/init(origin:direction:)`` ### Line Properties - ``Line/origin`` - ``Line/direction`` ### Comparing Lines - ``Line/containsPoint(_:)`` - ``Line/distance(from:)-4o41`` - ``Line/distance(from:)-77i61`` - ``Line/intersection(with:)-2nysu`` - ``Line/intersection(with:)-7s1sd`` - ``Line/intersects(_:)`` ShapeScript-1.6.14/Euclid/Euclid.docc/Extensions/LineSegment.md000066400000000000000000000011231450355336000242450ustar00rootroot00000000000000# ``Euclid/LineSegment`` ## Topics ### Creating Line Segments - ``LineSegment/init(_:_:)`` ### Line Segment Properties - ``LineSegment/start`` - ``LineSegment/end`` - ``LineSegment/length`` - ``LineSegment/direction`` ### Comparing Line Segments - ``LineSegment/containsPoint(_:)`` - ``LineSegment/intersection(with:)`` - ``LineSegment/intersects(_:)`` ### Transforming Line Segments - ``LineSegment/rotated(by:)`` - ``LineSegment/scaled(by:)-2lm8c`` - ``LineSegment/scaled(by:)-37r1v`` - ``LineSegment/translated(by:)`` - ``LineSegment/transformed(by:)`` - ``LineSegment/inverted()`` ShapeScript-1.6.14/Euclid/Euclid.docc/Extensions/Mesh.md000066400000000000000000000065721450355336000227440ustar00rootroot00000000000000# ``Euclid/Mesh`` ## Topics ### Default Meshes - ``Mesh/empty`` ### Geometric Primitives - ``Mesh/cone(radius:height:slices:poleDetail:addDetailAtBottomPole:faces:wrapMode:material:)`` - ``Mesh/cube(center:size:faces:material:)-7wdr2`` - ``Mesh/cube(center:size:faces:material:)-imdm`` - ``Mesh/cylinder(radius:height:slices:poleDetail:faces:wrapMode:material:)`` - ``Mesh/sphere(radius:slices:stacks:poleDetail:faces:wrapMode:material:)`` - ``Mesh/WrapMode`` - ``Mesh/Faces`` ### Creating Meshes from Other Meshes - ``Mesh/init(submeshes:)`` - ``Mesh/convexHull(of:)-6c896`` - ``Mesh/union(_:isCancelled:)-swift.method`` - ``Mesh/union(_:isCancelled:)-swift.type.method`` - ``Mesh/intersect(_:isCancelled:)`` - ``Mesh/intersection(_:isCancelled:)`` - ``Mesh/subtract(_:isCancelled:)`` - ``Mesh/difference(_:isCancelled:)`` - ``Mesh/xor(_:isCancelled:)-swift.method`` - ``Mesh/xor(_:isCancelled:)-swift.type.method`` - ``Mesh/stencil(_:isCancelled:)-swift.method`` - ``Mesh/stencil(_:isCancelled:)-swift.type.method`` - ``Mesh/CancellationHandler`` ### Creating Meshes from Polygons - ``Mesh/init(_:)`` - ``Mesh/convexHull(of:)-8x4al`` ### Creating Meshes from Paths - ``Mesh/convexHull(of:material:)-4hvi3`` - ``Mesh/lathe(_:slices:poleDetail:addDetailForFlatPoles:faces:wrapMode:material:)`` - ``Mesh/extrude(_:along:twist:align:faces:material:isCancelled:)`` - ``Mesh/extrude(_:depth:twist:sections:faces:material:)`` - ``Mesh/extrude(_:depth:twist:sections:faces:material:isCancelled:)`` - ``Mesh/fill(_:faces:material:)`` - ``Mesh/fill(_:faces:material:)`` - ``Mesh/loft(_:faces:material:)`` - ``Mesh/stroke(_:width:detail:material:)`` - ``Mesh/stroke(_:width:detail:material:isCancelled:)-85o14`` - ``Mesh/stroke(_:width:detail:material:isCancelled:)-9mn9o`` ### Creating Meshes from Vertices, Points or LineSegments - ``Mesh/convexHull(of:material:)-6176`` - ``Mesh/convexHull(of:material:)-75on2`` - ``Mesh/convexHull(of:material:)-91swk`` - ``Mesh/convexHull(of:material:)-5ztum`` ### Creating Meshes from Text - ``Mesh/text(_:font:width:depth:detail:material:)`` - ``Mesh/text(_:width:depth:detail:material:)`` ### Creating Meshes from SceneKit Models - ``Mesh/init(_:material:)`` - ``Mesh/init(_:ignoringTransforms:materialLookup:)`` - ``Mesh/init(url:ignoringTransforms:materialLookup:)`` - ``Mesh/Material`` - ``Mesh/MaterialProvider`` ### Exporting Meshes - ``Mesh/objString()`` - ``Mesh/stlString(name:)`` - ``Mesh/stlData(colorLookup:)`` ### Mesh Properties - ``Mesh/polygons`` - ``Mesh/materials`` - ``Mesh/bounds`` - ``Mesh/hasTexcoords`` - ``Mesh/hasVertexColors`` - ``Mesh/isWatertight`` - ``Mesh/polygonsByMaterial`` - ``Mesh/uniqueEdges`` ### Comparing Meshes - ``Mesh/containsPoint(_:)`` - ``Mesh/edges(intersecting:)`` ### Transforming Meshes - ``Mesh/rotated(by:)`` - ``Mesh/scaled(by:)-90bab`` - ``Mesh/scaled(by:)-94kks`` - ``Mesh/translated(by:)`` - ``Mesh/transformed(by:)`` - ``Mesh/inverted()`` ### Updating Materials and Texture Coordinates - ``Mesh/replacing(_:with:)`` - ``Mesh/withoutTexcoords()`` ### Merging Meshes - ``Mesh/merge(_:)-swift.method`` - ``Mesh/merge(_:)-swift.type.method`` ### Splitting Meshes - ``Mesh/clip(to:fill:)`` - ``Mesh/split(along:)`` - ``Mesh/submeshes`` ### Adjusting Mesh Topology - ``Mesh/tessellate(maxSides:)`` - ``Mesh/triangulate()`` - ``Mesh/detessellate()`` - ``Mesh/detriangulate()`` - ``Mesh/makeWatertight()`` - ``Mesh/smoothNormals(_:)`` ShapeScript-1.6.14/Euclid/Euclid.docc/Extensions/Path.md000066400000000000000000000020401450355336000227260ustar00rootroot00000000000000# ``Euclid/Path`` ## Topics ### Default Paths - ``Path/empty`` ### Creating Paths - ``Path/init(_:)-3c0eo`` - ``Path/init(_:)-4jhkw`` - ``Path/init(subpaths:)`` - ``Path/init(_:detail:color:)`` - ``Path/curve(_:detail:)`` - ``Path/line(_:_:color:)`` - ``Path/line(_:color:)`` - ``Path/arc(angle:radius:segments:color:)`` ### Creating Shape Paths - ``Path/circle(radius:segments:color:)`` - ``Path/ellipse(width:height:segments:color:)`` - ``Path/rectangle(width:height:color:)`` - ``Path/roundedRectangle(width:height:radius:detail:color:)`` - ``Path/square(size:color:)`` - ``Path/polygon(radius:sides:color:)`` ### Creating Text Paths - ``Path/text(_:font:width:detail:)`` - ``Path/text(_:width:detail:)`` ### Path Properties - ``Path/points`` - ``Path/plane`` - ``Path/bounds`` - ``Path/length`` - ``Path/isClosed`` - ``Path/isPlanar`` ### Transforming Paths - ``Path/rotated(by:)`` - ``Path/scaled(by:)-19jpq`` - ``Path/scaled(by:)-84xdd`` - ``Path/translated(by:)`` - ``Path/transformed(by:)`` - ``Path/with(color:)`` - ``Path/closed()`` ShapeScript-1.6.14/Euclid/Euclid.docc/Extensions/PathPoint.md000066400000000000000000000013451450355336000237470ustar00rootroot00000000000000# ``Euclid/PathPoint`` ## Topics ### Creating Path Points - ``PathPoint/init(_:texcoord:color:isCurved:)`` - ``PathPoint/init(_:)`` - ``PathPoint/point(_:_:_:texcoord:color:)`` - ``PathPoint/point(_:texcoord:color:)`` - ``PathPoint/curve(_:_:_:texcoord:color:)`` - ``PathPoint/curve(_:texcoord:color:)`` ### Path Point Properties - ``PathPoint/position`` - ``PathPoint/color`` - ``PathPoint/texcoord`` - ``PathPoint/isCurved`` ### Interpolating Path Points - ``PathPoint/lerp(_:_:)`` ### Transforming Path Points - ``PathPoint/rotated(by:)`` - ``PathPoint/scaled(by:)-4wtbg`` - ``PathPoint/scaled(by:)-7e3o7`` - ``PathPoint/translated(by:)`` - ``PathPoint/transformed(by:)`` - ``PathPoint/with(color:)`` - ``PathPoint/curved(_:)`` ShapeScript-1.6.14/Euclid/Euclid.docc/Extensions/Plane.md000066400000000000000000000011131450355336000230710ustar00rootroot00000000000000# ``Euclid/Plane`` ## Topics ### Creating Planes - ``Plane/init(normal:pointOnPlane:)`` - ``Plane/init(points:)`` ### Default Planes - ``Plane/xy`` - ``Plane/xz`` - ``Plane/yz`` ### Plane Properties - ``Plane/normal`` - ``Plane/w`` ### Comparing Planes - ``Plane/containsPoint(_:)`` - ``Plane/distance(from:)`` - ``Plane/intersection(with:)-4v7tg`` - ``Plane/intersection(with:)-79olr`` ### Transforming Planes - ``Plane/inverted()`` - ``Plane/rotated(by:)`` - ``Plane/scaled(by:)-29v7y`` - ``Plane/scaled(by:)-6axqe`` - ``Plane/translated(by:)`` - ``Plane/transformed(by:)`` ShapeScript-1.6.14/Euclid/Euclid.docc/Extensions/Polygon.md000066400000000000000000000017201450355336000234650ustar00rootroot00000000000000# ``Euclid/Polygon`` ## Topics ### Creating Polygons - ``Polygon/init(_:material:)-8gsiw`` - ``Polygon/init(_:material:)-9mns5`` - ``Polygon/init(shape:material:)`` ### Polygon Properties - ``Polygon/vertices`` - ``Polygon/plane`` - ``Polygon/bounds`` - ``Polygon/center`` - ``Polygon/material-swift.property`` - ``Polygon/isConvex`` - ``Polygon/hasTexcoords`` - ``Polygon/hasVertexColors`` - ``Polygon/orderedEdges`` - ``Polygon/undirectedEdges`` - ``Polygon/area`` ### Comparing Polygons - ``Polygon/containsPoint(_:)`` - ``Polygon/edges(intersecting:)`` ### Transforming Polygons - ``Polygon/rotated(by:)`` - ``Polygon/scaled(by:)-69m6m`` - ``Polygon/scaled(by:)-8sjrv`` - ``Polygon/translated(by:)`` - ``Polygon/transformed(by:)`` - ``Polygon/merge(_:ensureConvex:)`` - ``Polygon/inverted()`` - ``Polygon/with(material:)`` ### Splitting Polygons - ``Polygon/clip(to:)`` - ``Polygon/split(along:)`` - ``Polygon/tessellate(maxSides:)`` - ``Polygon/triangulate()``ShapeScript-1.6.14/Euclid/Euclid.docc/Extensions/Quaternion.md000066400000000000000000000020761450355336000241700ustar00rootroot00000000000000# ``Euclid/Quaternion`` ## Topics ### Creating Quaternions - ``Quaternion/init(_:)-27eol`` - ``Quaternion/init(_:)-7xa5o`` - ``Quaternion/init(_:)-b3v3`` - ``Quaternion/init(_:)-fyhx`` - ``Quaternion/init(_:_:_:_:)`` - ``Quaternion/init(axis:angle:)`` - ``Quaternion/init(roll:yaw:pitch:)`` - ``Quaternion/pitch(_:)`` - ``Quaternion/roll(_:)`` - ``Quaternion/yaw(_:)`` ### Default Quaternions - ``Quaternion/zero`` - ``Quaternion/identity`` ### Quaternion Properties - ``Quaternion/pitch`` - ``Quaternion/roll`` - ``Quaternion/yaw`` - ``Quaternion/axis`` - ``Quaternion/angle`` - ``Quaternion/isIdentity`` ### Computing Quaternions - ``Quaternion/-(_:_:)`` - ``Quaternion/-(_:)`` - ``Quaternion/*(_:_:)-2drke`` - ``Quaternion/*(_:_:)-305tn`` - ``Quaternion//(_:_:)`` - ``Quaternion/+(_:_:)`` - ``Quaternion/dot(_:)`` ### Interpolating Quaternions - ``Quaternion/slerp(_:_:)`` ### Mutating Quaternions - ``Quaternion/-=(_:_:)`` - ``Quaternion/*=(_:_:)-5ic2j`` - ``Quaternion/*=(_:_:)-lsgo`` - ``Quaternion//=(_:_:)`` - ``Quaternion/+=(_:_:)`` - ``Quaternion/normalized()`` ShapeScript-1.6.14/Euclid/Euclid.docc/Extensions/Rotation.md000066400000000000000000000017301450355336000236360ustar00rootroot00000000000000# ``Euclid/Rotation`` ## Topics ### Creating Rotations - ``Rotation/init()`` - ``Rotation/init(_:)-5w6mn`` - ``Rotation/init(_:)-68leo`` - ``Rotation/init(_:)-7j4ql`` - ``Rotation/init(axis:angle:)`` - ``Rotation/init(pitch:yaw:roll:)`` - ``Rotation/init(roll:yaw:pitch:)`` - ``Rotation/init(yaw:pitch:roll:)`` ### Default Quaternions - ``Rotation/identity`` ### Creating Rotations Around an Axis - ``Rotation/pitch(_:)`` - ``Rotation/roll(_:)`` - ``Rotation/yaw(_:)`` ### Rotation Properties - ``Rotation/pitch`` - ``Rotation/roll`` - ``Rotation/yaw`` - ``Rotation/axis`` - ``Rotation/angle`` - ``Rotation/forward`` - ``Rotation/right`` - ``Rotation/up`` - ``Rotation/isIdentity`` ### Interpolating Rotations - ``Rotation/slerp(_:_:)`` ### Computing Rotations - ``Rotation/-(_:)`` - ``Rotation/*(_:_:)-55zcf`` - ``Rotation/*(_:_:)-5fe82`` - ``Rotation//(_:_:)`` ### Mutating Rotations - ``Rotation/*=(_:_:)-68kkw`` - ``Rotation/*=(_:_:)-7u9hf`` - ``Rotation//=(_:_:)``ShapeScript-1.6.14/Euclid/Euclid.docc/Extensions/Transform.md000066400000000000000000000012711450355336000240120ustar00rootroot00000000000000# ``Euclid/Transform`` ## Topics ### Creating Transforms - ``Transform/init(offset:rotation:scale:)`` - ``Transform/offset(_:)`` - ``Transform/rotation(_:)`` - ``Transform/scale(_:)-55t4p`` - ``Transform/scale(_:)-7a30s`` - ``Transform/transform(from:)`` ### Default Transforms - ``Transform/identity`` ### Transform properties - ``Transform/rotation`` - ``Transform/scale`` - ``Transform/offset`` - ``Transform/isFlipped`` - ``Transform/isIdentity`` ### Combining Transforms - ``Transform/rotated(by:)`` - ``Transform/scaled(by:)-19ukh`` - ``Transform/scaled(by:)-9vwak`` - ``Transform/translated(by:)`` - ``Transform/transformed(by:)`` - ``Transform/*(_:_:)`` - ``Transform/*=(_:_:)`` ShapeScript-1.6.14/Euclid/Euclid.docc/Extensions/Vector.md000066400000000000000000000024541450355336000233050ustar00rootroot00000000000000# ``Euclid/Vector`` ## Topics ### Creating Vectors - ``Vector/init(_:)-228p6`` - ``Vector/init(_:)-4eop9`` - ``Vector/init(_:)-5n3j`` - ``Vector/init(_:)-63ct7`` - ``Vector/init(_:)-6nlm`` - ``Vector/init(_:_:_:)`` - ``Vector/init(size:)-8b34m`` - ``Vector/init(size:)-nkyk`` ### Default Vectors - ``Vector/zero`` - ``Vector/one`` - ``Vector/unitX`` - ``Vector/unitY`` - ``Vector/unitZ`` ### Vector Properties - ``Vector/x`` - ``Vector/y`` - ``Vector/z`` - ``Vector/length`` - ``Vector/lengthSquared`` - ``Vector/isZero`` - ``Vector/isOne`` ### Computing Vectors - ``Vector/+(_:_:)`` - ``Vector/+=(_:_:)`` - ``Vector/-(_:_:)`` - ``Vector/-(_:)`` - ``Vector/-=(_:_:)`` - ``Vector/*(_:_:)-48gl1`` - ``Vector/*(_:_:)-5mcy5`` - ``Vector/*=(_:_:)-3ur4e`` - ``Vector//(_:_:)`` - ``Vector//=(_:_:)`` - ``Vector/dot(_:)`` - ``Vector/cross(_:)`` ### Interpolating Vectors - ``Vector/lerp(_:_:)`` ### Transforming Vectors - ``Vector/normalized()`` - ``Vector/rotated(by:)`` - ``Vector/scaled(by:)-350oy`` - ``Vector/scaled(by:)-356zr`` - ``Vector/translated(by:)`` - ``Vector/transformed(by:)`` ### Comparing Vectors - ``Vector/angle(with:)-29paf`` - ``Vector/angle(with:)-9sfg1`` - ``Vector/distance(from:)-3eglz`` - ``Vector/distance(from:)-5p7ko`` - ``Vector/project(onto:)-817o2`` - ``Vector/project(onto:)-rksk`` ShapeScript-1.6.14/Euclid/Euclid.docc/Extensions/Vertex.md000066400000000000000000000011071450355336000233120ustar00rootroot00000000000000# ``Euclid/Vertex`` ## Topics ### Creating Vertices - ``init(_:_:_:_:)`` - ``init(_:)-5517j`` - ``init(_:)-7go25`` ### Vertex Properties - ``position`` - ``normal`` - ``texcoord`` - ``color`` ### Transforming Vertices - ``Vertex/inverted()`` - ``Vertex/rotated(by:)`` - ``Vertex/scaled(by:)-1dtbr`` - ``Vertex/scaled(by:)-20sq4`` - ``Vertex/translated(by:)`` - ``Vertex/transformed(by:)`` ### Interpolating Vertices - ``Vertex/lerp(_:_:)`` ### Comparing Vertices - ``Vertex/!=(_:_:)`` ### Encoding and Decoding Vertices - ``Vertex/encode(to:)`` - ``Vertex/init(from:)`` ShapeScript-1.6.14/Euclid/Euclid.docc/RenderingMeshes.md000066400000000000000000000071771450355336000227750ustar00rootroot00000000000000# Rendering Meshes Display the 3D shapes you created with meshes. ## Overview After creating some 3D shapes, you probably want to actually *display* them. Most of the Euclid library is completely self-contained, with no dependencies on any particular rendering technology or framework. However, when running on iOS or macOS you can take advantage of Euclid's built-in SceneKit integration. This is demonstrated in the Example app included with the project. SceneKit is Apple's high-level 3D engine, which can use either OpenGL or Metal for rendering on supported devices. Euclid provides extensions for creating an `SCNGeometry` from a ``Mesh``, as well as converting Euclid ``Vector`` and ``Rotation`` types to `SCNVector` and `SCNQuaternion` respectively. The SceneKit integration makes it easy to display Euclid geometry on-screen, and to integrate with ARKit, etc. You can also use SceneKit to export Euclid-generated ``Mesh`` in standard 3D model formats such as DAE, STL or OBJ. ### Materials Interesting geometry is one thing, but to really bring a shape to life it needs colors and textures. Every ``Polygon`` has a ``Polygon/material-swift.property`` property that can be used to apply any kind of material you like on a per-polygon basis. All primitives and builder methods accept a `material` parameter which will apply that material to every polygon in the resultant ``Mesh``. When you later combine meshes using CSG operations, the original materials from the `Mesh` that contributed to each part of the resultant shape are preserved. Before a material can be used with SceneKit, you need to convert the Euclid material to an `SCNMaterial`. If the material is already an `SCNMaterial` instance it will be used directly. If the material is a ``Color``, a `UI/NSColor` or `UI/NSImage` it will be converted to an `SCNMaterial` automatically. For all other material types, you will need to do this conversion yourself. You can convert materials using the optional closure argument for Euclid's `SCNGeometry` constructor, which receives the Euclid material as an input and returns an `SCNMaterial`. When serializing Euclid geometry using `Codable`, only specific material types can be supported. Currently, material serialization works for `String`s, `Int`s, `Color` and any class that conforms to `NSCoding` (which includes many UIKit, AppKit and SceneKit types, such as `UI/NSColor`, `UI/NSImage` and `SCNMaterial`). ### Colors Euclid currently has no support for setting colors on a per-vertex basis, but you can apply colors to a ``Mesh`` or ``Polygon`` using the material property. The material property is of type `AnyHashable` which basically means it can be anything you want. You can set the `material` to an instance of Euclid's ``Color``, or you can use a `UIColor` or `NSColor` instead if you prefer. This approach is demonstrated in the Example app included in the project. ### Textures Euclid automatically adds 2D texture coordinates to the vertices of a ``Mesh`` created using primitives or builder methods. There is limited control over how those coordinates are specified at the moment, but they allow for simple spherical and cylindrical texture wrapping. To apply a texture image to a ``Mesh``, store a `UIImage` or `NSImage` as the material property and it will be converted to an `SCNMaterial` automatically. If you want to do something more complex, such as applying both a color *and* texture to the same ``Mesh``, or maybe including a normal map or some other material properties, you could create a custom material type to store all the properties you care about, or even assign an `SCNMaterial` directly as the material for your Euclid geometry. 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All rights reserved. // import Combine import Euclid import RealityKit import UIKit class RealityKitViewController: UIViewController { var updateSubscription: Cancellable! override func viewDidLoad() { super.viewDidLoad() let arView = ARView( frame: view.frame, cameraMode: .nonAR, automaticallyConfigureSession: false ) arView.environment.background = .color(.white) arView.autoresizingMask = [.flexibleWidth, .flexibleHeight] view.addSubview(arView) // create some geometry using Euclid let start = CFAbsoluteTimeGetCurrent() let cube = Mesh.cube(size: 0.8, material: UIColor.red) let sphere = Mesh.sphere(slices: 120, material: UIColor.blue) let mesh = cube.subtract(sphere).makeWatertight() print("Time:", CFAbsoluteTimeGetCurrent() - start) print("Polygons:", mesh.polygons.count) print("Triangles:", mesh.triangulate().polygons.count) print("Watertight:", mesh.isWatertight) if #available(macOS 12.0, iOS 15.0, *) { // create ModelEntity let entity = try! ModelEntity(mesh) let anchor = AnchorEntity(world: .zero) anchor.addChild(entity) arView.scene.anchors.append(anchor) } else { let alert = UIAlertController( title: "Unsupported", message: "Euclid RealityKit support requires a minimum of iOS 15.", preferredStyle: .alert ) alert.addAction(UIAlertAction(title: "OK", style: .cancel)) present(alert, animated: true) } let camera = PerspectiveCamera() let cameraAnchor = AnchorEntity(world: .zero) cameraAnchor.addChild(camera) arView.scene.addAnchor(cameraAnchor) var cameraOffset = Vector(0, 0, 2) let rotationSpeed = Angle.pi / 4 updateSubscription = arView.scene.subscribe(to: SceneEvents.Update.self) { event in cameraOffset.rotate(by: .yaw(rotationSpeed * event.deltaTime)) let cameraTranslation = SIMD3(cameraOffset) camera.transform = Transform(translation: cameraTranslation) camera.look(at: .zero, from: cameraTranslation, relativeTo: nil) } } } ShapeScript-1.6.14/Euclid/Example/SceneKitViewController.swift000066400000000000000000000032051450355336000243160ustar00rootroot00000000000000// // SceneKitViewController.swift // Example // // Created by Nick Lockwood on 11/12/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // import Euclid import SceneKit import UIKit class SceneKitViewController: UIViewController { override func viewDidLoad() { super.viewDidLoad() // create a new scene let scene = SCNScene() // create and add a camera to the scene let cameraNode = SCNNode() cameraNode.camera = SCNCamera() scene.rootNode.addChildNode(cameraNode) // place the camera cameraNode.position = SCNVector3(x: 0, y: 0, z: 2) // create some geometry using Euclid let start = CFAbsoluteTimeGetCurrent() let cube = Mesh.cube(size: 0.8, material: UIColor.red) let sphere = Mesh.sphere(slices: 120, material: UIColor.blue) let mesh = cube.subtract(sphere).makeWatertight() print("Time:", CFAbsoluteTimeGetCurrent() - start) print("Polygons:", mesh.polygons.count) print("Triangles:", mesh.triangulate().polygons.count) print("Watertight:", mesh.isWatertight) // create SCNNode let geometry = SCNGeometry(mesh) let node = SCNNode(geometry: geometry) scene.rootNode.addChildNode(node) // configure the SCNView let scnView = view as! SCNView scnView.scene = scene scnView.autoenablesDefaultLighting = true scnView.allowsCameraControl = true scnView.backgroundColor = .white } override var shouldAutorotate: Bool { true } override var prefersStatusBarHidden: Bool { true } } ShapeScript-1.6.14/Euclid/LICENSE.md000077500000000000000000000020561450355336000166530ustar00rootroot00000000000000MIT License Copyright (c) 2018 Nick Lockwood Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. ShapeScript-1.6.14/Euclid/Package.swift000066400000000000000000000007461450355336000176610ustar00rootroot00000000000000// swift-tools-version:5.1 import PackageDescription let package = Package( name: "Euclid", products: [ .library(name: "Euclid", targets: ["Euclid"]), ], targets: [ .target( name: "Euclid", path: "Sources", exclude: ["Info.plist"] ), .testTarget( name: "EuclidTests", dependencies: ["Euclid"], path: "Tests", exclude: ["Info.plist"] ), ] ) ShapeScript-1.6.14/Euclid/README.md000066400000000000000000000102341450355336000165200ustar00rootroot00000000000000[![PayPal](https://img.shields.io/badge/paypal-donate-blue.svg)](https://www.paypal.com/cgi-bin/webscr?cmd=_s-xclick&hosted_button_id=UJWT2RWPE7VA8&source=url) [![Build](https://github.com/nicklockwood/Euclid/actions/workflows/build.yml/badge.svg)](https://github.com/nicklockwood/Euclid/actions/workflows/build.yml) [![Codecov](https://codecov.io/gh/nicklockwood/Euclid/graphs/badge.svg)](https://codecov.io/gh/nicklockwood/Euclid) [![Platforms](https://img.shields.io/badge/platforms-iOS%20|%20Mac%20|%20tvOS%20|%20Linux-lightgray.svg)]() [![Swift 5.1](https://img.shields.io/badge/swift-5.1-red.svg?style=flat)](https://developer.apple.com/swift) [![License](https://img.shields.io/badge/license-MIT-lightgrey.svg)](https://opensource.org/licenses/MIT) [![Mastodon](https://img.shields.io/badge/mastodon-@nicklockwood@mastodon.social-636dff.svg)](https://mastodon.social/@nicklockwood) ![Screenshot](Euclid.png?raw=true) - [Introduction](#introduction) - [Installation](#installation) - [Contributing](#contributing) - [Example](#example) - [Documentation](#documentation) - [Credits](#credits) # Introduction Euclid is a Swift library for creating and manipulating 3D geometry using techniques such as extruding or "lathing" 2D paths to create solid 3D shapes, and CSG (Constructive Solid Geometry) to combine or subtract those shapes from one another. Euclid is the underlying implementation for the open source [ShapeScript scripting language](https://github.com/nicklockwood/ShapeScript) and ShapeScript [Mac](https://itunes.apple.com/app/id1441135869) and [iOS](https://apps.apple.com/app/id1606439346) apps. Anything you can build in ShapeScript can be replicated programmatically in Swift using this library. If you would like to support the development of Euclid, please consider buying a copy of ShapeScript (the app itself is free, but there is an in-app purchase to unlock some features). You can also donate directly to the project via PayPal: [![Donate via PayPal](https://www.paypalobjects.com/en_GB/i/btn/btn_donate_LG.gif)](https://www.paypal.com/cgi-bin/webscr?cmd=_s-xclick&hosted_button_id=UJWT2RWPE7VA8&source=url) # Installation Euclid is packaged as a dynamic framework that you can import into your Xcode project. You can install this manually, or by using CocoaPods, Carthage, or Swift Package Manager. **Note:** Euclid requires Xcode 14+ to build, and runs on iOS 11+ or macOS 10.13+. To install Euclid using CocoaPods, add the following to your Podfile: ```ruby pod 'Euclid', '~> 0.6' ``` To install using Carthage, add this to your Cartfile: ```ogdl github "nicklockwood/Euclid" ~> 0.6 ``` To install using Swift Package Manager, add this to the `dependencies:` section in your Package.swift file: ```swift .package(url: "https://github.com/nicklockwood/Euclid.git", .upToNextMinor(from: "0.6.0")), ``` # Contributing Feel free to open an issue in Github if you have questions about how to use the library, or think you may have found a bug. If you wish to contribute improvements to the documentation or the code itself, that's great! But please read the [CONTRIBUTING.md](CONTRIBUTING.md) file before submitting a pull request. # Example See the included project for an example of how Euclid can be used in conjunction with SceneKit or RealityKit to generate and render a nontrivial 3D shape on iOS. # Documentation Full documentation for all Euclid types and functions can be found [here](https://nicklockwood.github.io/Euclid/documentation/euclid/). # Credits The Euclid framework is primarily the work of [Nick Lockwood](https://github.com/nicklockwood). Special thanks go to [Evan Wallace](https://github.com/evanw/), whose [JavaScript CSG library](https://github.com/evanw/csg.js) provided the inspiration for Euclid in the first place, along with the BSP algorithm used for Euclid's CSG operations. Thanks also go to [Joseph Heck](https://github.com/heckj) for implementing the DocC documentation, [Andy Geers](https://github.com/andygeers) for several bug fixes and improvements, and [Patrick Goley](https://twitter.com/bitsbetweenbits) who first suggested "Euclid" for the library name. ([Full list of contributors](https://github.com/nicklockwood/Euclid/graphs/contributors)) ShapeScript-1.6.14/Euclid/Sources/000077500000000000000000000000001450355336000166645ustar00rootroot00000000000000ShapeScript-1.6.14/Euclid/Sources/Angle.swift000066400000000000000000000162771450355336000210050ustar00rootroot00000000000000// // Angle.swift // Euclid // // Created by Ioannis Kaliakatsos on 22.11.20. // Copyright © 2020 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // import Foundation /// An angle or 2D rotation. public struct Angle: Hashable, Comparable, Sendable, AdditiveArithmetic { /// The angle in radians. public var radians: Double { didSet { radians = radians.isFinite ? radians : 0 } } /// Creates an angle from a radians value. /// - Parameter radians: The angle in radians. public init(radians: Double) { self.radians = radians.isFinite ? radians : 0 } } extension Angle: Codable { private enum CodingKeys: CodingKey { case radians, degrees } /// Creates a new angle by decoding from the given decoder. /// - Parameter decoder: The decoder to read data from. public init(from decoder: Decoder) throws { guard let container = try? decoder.container(keyedBy: CodingKeys.self) else { try self.init(radians: Double(from: decoder)) return } if let radians = try container.decodeIfPresent(Double.self, forKey: .radians) { self.init(radians: radians) return } self = try .degrees(container.decode(Double.self, forKey: .degrees)) } /// Encodes this angle into the given encoder. /// - Parameter encoder: The encoder to write data to. public func encode(to encoder: Encoder) throws { try radians.encode(to: encoder) } } /// Computes the trigonometric cosine of an angle. /// - Parameter angle: The angle to calculate the cosine for. /// - Returns: The trigonometric cosine of the angle. @_disfavoredOverload public func cos(_ angle: Angle) -> Double { cos(angle.radians) } /// Computes the trigonometric sine of an angle. /// - Parameter angle: The angle to calculate the sine for. /// - Returns: The trigonometric sine of the angle. @_disfavoredOverload public func sin(_ angle: Angle) -> Double { sin(angle.radians) } /// Computes the trigonometric tangent of an angle. /// - Parameter angle: The angle to calculate the tangent for. /// - Returns: The trigonometric tangent of the angle. @_disfavoredOverload public func tan(_ angle: Angle) -> Double { tan(angle.radians) } public extension Angle { /// Angle representing a zero (identity) rotation. static let zero = Angle.radians(0) /// Angle representing a quarter rotation. static let halfPi = Angle.radians(.pi / 2) /// Angle representing a half-rotation. static let pi = Angle.radians(.pi) /// Angle representing a full rotation. static let twoPi = Angle.radians(.pi * 2) /// The angle in degrees. var degrees: Double { get { radians * 180 / .pi } set { radians = newValue / 180 * .pi } } /// The angle is zero (or close to zero). var isZero: Bool { isEqual(to: .zero) } /// Creates an Angle from a degrees value. /// - Parameter degrees: The angle in degrees. init(degrees: Double) { self.init(radians: degrees / 180 * .pi) } /// Creates an angle from a degrees value. /// - Parameter degrees: The angle in degrees. static func degrees(_ degrees: Double) -> Angle { Angle(degrees: degrees) } /// Creates an angle from a radians value. /// - Parameter radians: The angle in radians. static func radians(_ radians: Double) -> Angle { Angle(radians: radians) } /// Creates an angle representing the trigonometric arc cosine of the value you provide. /// - Parameter cos: The cosine value to use to calculate the angle. static func acos(_ cos: Double) -> Angle { .radians(Foundation.acos(min(1, max(-1, cos)))) } /// Creates an angle representing the trigonometric arc sine of the value you provide. /// - Parameter sin: The sine value to use to calculate the angle. static func asin(_ sin: Double) -> Angle { .radians(Foundation.asin(min(1, max(-1, sin)))) } /// Creates an angle representing the trigonometric arc tangent of the value you provide. /// - Parameter tan: The tangent value to use to calculate the angle. static func atan(_ tan: Double) -> Angle { .radians(Foundation.atan(tan)) } /// Creates an angle representing the trigonometric arc tangent of the vector you provide. /// - Parameters /// - y: The Y component of the input vector /// - x: The X component of the input vector static func atan2(y: Double, x: Double) -> Angle { .radians(Foundation.atan2(y, x)) } /// Returns the sum of two angles. static func + (lhs: Angle, rhs: Angle) -> Angle { .radians(lhs.radians + rhs.radians) } /// Returns the difference between two angles. static func - (lhs: Angle, rhs: Angle) -> Angle { .radians(lhs.radians - rhs.radians) } /// Returns the product of an angle and numeric multiplier. static func * (lhs: Angle, rhs: Double) -> Angle { .radians(lhs.radians * rhs) } /// Returns the product of a numeric multiplier and an angle. static func * (lhs: Double, rhs: Angle) -> Angle { .radians(lhs * rhs.radians) } /// Multiplies the angle by a numeric value. static func *= (lhs: inout Angle, rhs: Double) { lhs.radians *= rhs } /// Returns the angle divided by a numeric denominator. static func / (lhs: Angle, rhs: Double) -> Angle { .radians(lhs.radians / rhs) } /// Divides the angle by a numeric denominator. static func /= (lhs: inout Angle, rhs: Double) { lhs.radians /= rhs } /// Returns the inverse angle. static prefix func - (angle: Angle) -> Angle { .radians(-angle.radians) } /// Returns whether the leftmost angle has the lower value. static func < (lhs: Angle, rhs: Angle) -> Bool { lhs.radians < rhs.radians } } extension Angle { // Approximate equality func isEqual(to other: Angle, withPrecision p: Double = epsilon) -> Bool { radians.isEqual(to: other.radians, withPrecision: p) } } ShapeScript-1.6.14/Euclid/Sources/BSP.swift000066400000000000000000000227201450355336000203710ustar00rootroot00000000000000// // BSP.swift // Euclid // // Created by Nick Lockwood on 20/01/2020. // Copyright © 2020 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // struct BSP { private var nodes: [BSPNode] private(set) var isConvex: Bool } extension BSP { typealias CancellationHandler = () -> Bool enum ClipRule { case greaterThan case greaterThanEqual case lessThan case lessThanEqual } init(_ mesh: Mesh, _ isCancelled: CancellationHandler) { self.nodes = [BSPNode]() self.isConvex = mesh.isKnownConvex initialize(mesh.polygons, isCancelled) } func clip( _ polygons: [Polygon], _ keeping: ClipRule, _ isCancelled: CancellationHandler ) -> [Polygon] { batch(polygons, stride: 50) { polygons in var id = 0 var out: [Polygon]? return clip(polygons.map { $0.with(id: 0) }, keeping, &out, &id, isCancelled) } } func split( _ polygons: [Polygon], _ left: ClipRule, _ right: ClipRule, _ isCancelled: CancellationHandler ) -> ([Polygon], [Polygon]) { var id = 0 var rhs: [Polygon]? = [] let lhs = clip(polygons.map { $0.with(id: 0) }, left, &rhs, &id, isCancelled) switch (left, right) { case (.lessThan, .greaterThan), (.greaterThan, .lessThan): var ignore: [Polygon]? return (lhs, clip(rhs!, right, &ignore, &id, isCancelled)) default: return (lhs, rhs!) } } func containsPoint(_ point: Vector) -> Bool { guard var node = nodes.first else { return false } while true { switch point.compare(with: node.plane) { case .coplanar, .spanning: if node.polygons.contains(where: { $0.containsPoint(point) }) { return true } fallthrough case .front: guard node.front > 0 else { return false } node = nodes[node.front] case .back: guard node.back > 0 else { return true } node = nodes[node.back] } } } } private extension BSP { struct BSPNode { var front: Int = 0 var back: Int = 0 var polygons = [Polygon]() var plane: Plane init(plane: Plane) { self.plane = plane } init(polygon: Polygon) { self.polygons = [polygon] self.plane = polygon.plane } } // See https://github.com/wangyi-fudan/wyhash/ struct DeterministicRNG: RandomNumberGenerator { private var seed: UInt64 = 0 mutating func next() -> UInt64 { seed &+= 0xA0761D6478BD642F let result = seed.multipliedFullWidth(by: seed ^ 0xE7037ED1A0B428DB) return result.high ^ result.low } } mutating func initialize(_ polygons: [Polygon], _ isCancelled: CancellationHandler) { var rng = DeterministicRNG() guard isConvex else { guard !polygons.isEmpty else { return } // Randomly shuffle polygons to reduce average number of splits let polygons = polygons.shuffled(using: &rng) nodes.reserveCapacity(polygons.count) nodes.append(BSPNode(plane: polygons[0].plane)) insert(polygons, isCancelled) return } // Create nodes nodes = polygons .groupedByPlane() .shuffled(using: &rng) .enumerated() .map { i, group in var node = BSPNode(plane: group.plane) node.polygons = group.polygons node.back = i + 1 return node } // Fixup last node nodes[nodes.count - 1].back = 0 } mutating func insert(_ polygons: [Polygon], _ isCancelled: CancellationHandler) { var isActuallyConvex = true var stack = [(node: 0, polygons: polygons)] while let (node, polygons) = stack.popLast(), !isCancelled() { var front = [Polygon](), back = [Polygon]() for polygon in polygons { let plane = nodes[node].plane switch polygon.compare(with: plane) { case .coplanar: if plane.normal.dot(polygon.plane.normal) > 0 { nodes[node].polygons.append(polygon) } else { back.append(polygon) } case .front: front.append(polygon) isActuallyConvex = false case .back: back.append(polygon) case .spanning: var id = 0 polygon.split(spanning: plane, &front, &back, &id) isActuallyConvex = false } } if let first = front.first { var next = nodes[node].front if next == 0 { next = nodes.count nodes[node].front = next nodes.append(BSPNode(plane: first.plane)) } stack.append((next, front)) } if let first = back.first { var next = nodes[node].back if next == 0 { next = nodes.count nodes[node].back = next nodes.append(BSPNode(plane: first.plane)) } stack.append((next, back)) } } isConvex = isActuallyConvex } func clip( _ polygons: [Polygon], _ keeping: BSP.ClipRule, _ out: inout [Polygon]?, _ id: inout Int, _ isCancelled: CancellationHandler ) -> [Polygon] { guard !nodes.isEmpty else { return polygons } var total = [Polygon]() var rejects = [Polygon]() func addPolygons(_ polygons: [Polygon], to total: inout [Polygon]) { for a in polygons { guard a.id != 0 else { total.append(a) continue } var a = a for i in total.indices.reversed() { let b = total[i] if a.id == b.id, let c = a.merge(unchecked: b, ensureConvex: false) { a = c total.remove(at: i) } } total.append(a) } } let keepFront = [.greaterThan, .greaterThanEqual].contains(keeping) var stack = [(node: nodes[0], polygons: polygons)] while let (node, polygons) = stack.popLast(), !isCancelled() { var coplanar = [Polygon](), front = [Polygon](), back = [Polygon]() for polygon in polygons { polygon.split(along: node.plane, &coplanar, &front, &back, &id) } for polygon in coplanar { switch keeping { case .greaterThan, .lessThanEqual: polygon.clip(to: node.polygons, &back, &front, &id) case .greaterThanEqual, .lessThan: if node.plane.normal.dot(polygon.plane.normal) > 0 { front.append(polygon) } else { polygon.clip(to: node.polygons, &back, &front, &id) } } } if !front.isEmpty { if node.front > 0 { stack.append((nodes[node.front], front)) } else if keepFront { addPolygons(front, to: &total) } else if out != nil { addPolygons(front, to: &rejects) } } if !back.isEmpty { if node.back > 0 { stack.append((nodes[node.back], back)) } else if !keepFront { addPolygons(back, to: &total) } else if out != nil { addPolygons(back, to: &rejects) } } } out = rejects return total } } ShapeScript-1.6.14/Euclid/Sources/Bounds.swift000066400000000000000000000233121450355336000211750ustar00rootroot00000000000000// // Bounds.swift // Euclid // // Created by Nick Lockwood on 03/07/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // /// An axially-aligned bounding box in 3D space. /// /// Used for efficient intersection elimination between more complex shapes. public struct Bounds: Hashable, Sendable { /// The minimum coordinate of the bounds. public let min: Vector /// The maximum coordinate of the bounds. public let max: Vector /// Creates a bounds with min and max coordinates. /// - Parameters: /// - min: The minimum coordinate value. /// - max: The maximum coordinate value. /// /// > Note: If the value for max is less than the value for min, the bounds is considered to be empty. public init(min: Vector, max: Vector) { self.min = min self.max = max } } extension Bounds: Codable { private enum CodingKeys: CodingKey { case min, max } /// Creates a new vector by decoding from the given decoder. /// - Parameter decoder: The decoder to read data from. public init(from decoder: Decoder) throws { let min, max: Vector if var container = try? decoder.unkeyedContainer() { min = try Vector(from: &container) max = try Vector(from: &container) } else { let container = try decoder.container(keyedBy: CodingKeys.self) min = try container.decode(Vector.self, forKey: .min) max = try container.decode(Vector.self, forKey: .max) } self.init(min: min, max: max) } /// Encodes this bounds into the given encoder. /// - Parameter encoder: The encoder to write data to. public func encode(to encoder: Encoder) throws { var container = encoder.unkeyedContainer() try min.encode(to: &container) try max.encode(to: &container) } } public extension Bounds { /// An empty bounds. static let empty = Bounds() /// Creates a bounds from two points. /// - Parameters: /// - p0: The first point. /// - p1: The second point. /// /// > Note: Unlike the `init(min:max:)` constructor, the order of the points doesn't matter. init(_ p0: Vector, _ p1: Vector) { self.min = Euclid.min(p0, p1) self.max = Euclid.max(p0, p1) } /// Creates a bounds from an array of points. /// - Parameter points: An array of points that the bounds contains. init(points: [Vector] = []) { var min = Vector(.infinity, .infinity, .infinity) var max = Vector(-.infinity, -.infinity, -.infinity) for p in points { min = Euclid.min(min, p) max = Euclid.max(max, p) } self.min = min self.max = max } /// Create a bounds from an array of points. /// - Parameter polygons: An array of polygons that the bounds contains. init(polygons: [Polygon]) { var min = Vector(.infinity, .infinity, .infinity) var max = Vector(-.infinity, -.infinity, -.infinity) for p in polygons { for v in p.vertices { min = Euclid.min(min, v.position) max = Euclid.max(max, v.position) } } self.min = min self.max = max } /// Creates a bounds from a set of bounds. /// - Parameter bounds: An array of existing bounds that the bounds contains. init(bounds: [Bounds]) { var min = Vector(.infinity, .infinity, .infinity) var max = Vector(-.infinity, -.infinity, -.infinity) for b in bounds { min = Euclid.min(min, b.min) max = Euclid.max(max, b.max) } self.min = min self.max = max } /// A Boolean value that indicates whether the bounds is empty (has zero volume). var isEmpty: Bool { size == .zero } /// The size of the bounds. The minimum returned size is zero, even if max < min. var size: Vector { hasNegativeVolume ? .zero : max - min } /// The center of the bounds. If the bounds is empty this will return the zero vector. var center: Vector { hasNegativeVolume ? .zero : min + size / 2 } /// The points that make up the corners of the bounds. var corners: [Vector] { [ min, Vector(min.x, max.y, min.z), Vector(max.x, max.y, min.z), Vector(max.x, min.y, min.z), Vector(min.x, min.y, max.z), Vector(min.x, max.y, max.z), max, Vector(max.x, min.y, max.z), ] } /// Creates a new bounds that contains both the specified bounds and this one. /// - Parameter other: The other bounds to be included. /// - Returns: The combined bounds. func union(_ other: Bounds) -> Bounds { if isEmpty { return other } else if other.isEmpty { return self } return Bounds( min: Euclid.min(min, other.min), max: Euclid.max(max, other.max) ) } /// Expands this bounds (if necessary) to contain the specified bounds. /// - Parameter other: The bounds to be included. mutating func formUnion(_ other: Bounds) { self = union(other) } /// Creates a new bounds representing the intersection between the specified bounds and this one. /// - Parameter other: The bounds with which to intersect. /// - Returns: The combined bounds, which may be empty if the bounds don't intersect. func intersection(_ other: Bounds) -> Bounds { Bounds( min: Euclid.max(min, other.min), max: Euclid.min(max, other.max) ) } /// Reduces the bounds to contain just the intersection of itself and the specified bounds. /// - Parameter other: The bounds with which to intersect. mutating func formIntersection(_ other: Bounds) { self = intersection(other) } /// Returns a Boolean value that indicates whether the two bounds intersect. /// - Parameter other: The bounds to compare. /// - Returns: `true` if the bounds intersect, and `false` otherwise. func intersects(_ other: Bounds) -> Bool { !( other.max.x + epsilon < min.x || other.min.x > max.x + epsilon || other.max.y + epsilon < min.y || other.min.y > max.y + epsilon || other.max.z + epsilon < min.z || other.min.z > max.z + epsilon ) } /// Returns a Boolean value that indicates if the bounds intersects the specified plane. /// - Parameter plane: The plane to compare. /// - Returns: `true` if the plane intersects the bounds, and `false` otherwise. func intersects(_ plane: Plane) -> Bool { compare(with: plane) == .spanning } /// Returns a Boolean value that indicates if the specified point is within the bounds. /// - Parameter point: The point to compare. /// - Returns: `true` if the point lies inside the bounds, and `false` otherwise. func containsPoint(_ point: Vector) -> Bool { point.x >= min.x && point.x <= max.x && point.y >= min.y && point.y <= max.y && point.z >= min.z && point.z <= max.z } /// Returns a new bounds inset by the specified distance. /// - Parameter v: The distance to inset the bounds by. Use negative values to expand the bounds. /// - Returns: The inset bounds. func inset(by v: Vector) -> Bounds { Bounds(min: min + v, max: max - v) } /// Returns a new bounds inset by the specified amount. /// - Parameter d: The amount to inset the bounds by. Use a negative value to expand the bounds. /// - Returns: The inset bounds. func inset(by d: Double) -> Bounds { inset(by: Vector(size: d)) } } extension Bounds { // A Boolean value that indicates the bounds has a negative volume. var hasNegativeVolume: Bool { max.x < min.x || max.y < min.y || max.z < min.z } // Approximate equality func isEqual(to other: Bounds, withPrecision p: Double = epsilon) -> Bool { min.isEqual(to: other.min, withPrecision: p) && max.isEqual(to: other.max, withPrecision: p) } // Compares a region defined by the bounds with a plane to determine the // relationship of the points that make up the bounds to the plane. func compare(with plane: Plane) -> PlaneComparison { var comparison = PlaneComparison.coplanar for point in corners { comparison = comparison.union(point.compare(with: plane)) if comparison == .spanning { break } } return comparison } } ShapeScript-1.6.14/Euclid/Sources/Color.swift000066400000000000000000000171321450355336000210240ustar00rootroot00000000000000// // Color.swift // Euclid // // Created by Nick Lockwood on 01/09/2021. // Copyright © 2018 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // /// A color in RGBA format. /// /// Color can be used as a ``Polygon/material-swift.property`` or as a ``Vertex/color``. public struct Color: Hashable, Sendable { /// The red component of the color. public var r: Double /// The green component of the color. public var g: Double /// The blue component of the color. public var b: Double /// The alpha component of the color. public var a: Double /// Create a color from RGB values and optional alpha component /// - Parameters: /// - r: The red component of the color, from 0 to 1. /// - g: The green component of the color, from 0 to 1. /// - b: The blue component of the color, from 0 to 1. /// - a: The alpha component of the color. Defaults to 1 (fully opaque) public init(_ r: Double, _ g: Double, _ b: Double, _ a: Double = 1) { self.r = r self.g = g self.b = b self.a = a } } extension Color: Codable { private enum CodingKeys: String, CodingKey { case r, g, b, a } /// Creates a new color by decoding from the given decoder. /// - Parameter decoder: The decoder to read data from. public init(from decoder: Decoder) throws { if var container = try? decoder.unkeyedContainer() { try self.init(from: &container) } else { let container = try decoder.container(keyedBy: CodingKeys.self) let r = try container.decode(Double.self, forKey: .r) let g = try container.decode(Double.self, forKey: .g) let b = try container.decode(Double.self, forKey: .b) let a = try container.decodeIfPresent(Double.self, forKey: .a) self.init(r, g, b, a ?? 1) } } /// Encodes this color into the given encoder. /// - Parameter encoder: The encoder to write data to. public func encode(to encoder: Encoder) throws { var container = encoder.unkeyedContainer() try encode(to: &container, skipA: a == 1) } } public extension Color { static let clear = Color(0, 0) static let black = Color(0) static let white = Color(1) static let gray = Color(0.5) static let red = Color(1, 0, 0) static let green = Color(0, 1, 0) static let blue = Color(0, 0, 1) static let yellow = Color(1, 1, 0) static let cyan = Color(0, 1, 1) static let magenta = Color(1, 0, 1) static let orange = Color(1, 0.5, 0) /// Creates a color from a luminance value and optional alpha component. /// - Parameters: /// - rgb: The luminance value, from 0 to 1. /// - a: The alpha component. Defaults to 1 (fully opaque) init(_ rgb: Double, _ a: Double = 1) { self.r = rgb self.g = rgb self.b = rgb self.a = a } /// Creates a color from an array of component values. /// /// The number of values specified determines how each value is interpreted. The following patterns are /// supported (R = red, G = green, B = blue, A = alpha, L = luminance): /// /// L /// LA /// RGB /// RGBA init?(_ components: [Double]) { guard (1 ... 4).contains(components.count) else { return nil } self.init(unchecked: components) } /// Returns an array containing the red, green, blue, and alpha components of the color. var components: [Double] { [r, g, b, a] } /// Creates a copy of the color updated with the specified alpha. func withAlpha(_ a: Double) -> Color { Color(r, g, b, a) } /// Linearly interpolate between two colors. /// - Parameters: /// - a: The color to interpolate towards. /// - t: The normalized extent of interpolation, from 0 to 1. /// - Returns: The interpolated color. func lerp(_ a: Color, _ t: Double) -> Color { self + (a - self) * max(0, min(1, t)) } } public extension Collection where Element == Color, Index == Int { /// Linearly interpolate between multiple colors. /// - Parameter t: The normalized extent of interpolation between all the colors, from 0 to 1. /// - Returns: The interpolated color. func lerp(_ t: Double) -> Color { let steps = count - 1 guard steps > -1 else { return .clear } let t = Swift.max(0, Swift.min(1, t)) * Double(steps) let index = Int(t) guard index < steps else { return self[steps] } return self[index].lerp(self[index + 1], t - t.rounded(.down)) } } extension Color: UnkeyedCodable { init(from container: inout UnkeyedDecodingContainer) throws { self.r = try container.decode(Double.self) self.g = try container.decode(Double.self) self.b = try container.decode(Double.self) self.a = try container.decodeIfPresent(Double.self) ?? 1 } func encode(to container: inout UnkeyedEncodingContainer) throws { try encode(to: &container, skipA: false) } func encode(to container: inout UnkeyedEncodingContainer, skipA: Bool) throws { try container.encode(r) try container.encode(g) try container.encode(b) try skipA ? () : container.encode(a) } } extension Color { init(unchecked components: [Double]) { switch components.count { case 1: self.init(components[0]) case 2: self.init(components[0], components[1]) case 3: self.init(components[0], components[1], components[2]) case 4: self.init(components[0], components[1], components[2], components[3]) default: assertionFailure() self = .clear } } static func - (lhs: Color, rhs: Color) -> Color { Color(lhs.r - rhs.r, lhs.g - rhs.g, lhs.b - rhs.b, lhs.a - rhs.a) } static func + (lhs: Color, rhs: Color) -> Color { Color(lhs.r + rhs.r, lhs.g + rhs.g, lhs.b + rhs.b, lhs.a + rhs.a) } static func * (lhs: Color, rhs: Double) -> Color { Color(lhs.r * rhs, lhs.g * rhs, lhs.b * rhs, lhs.a * rhs) } // Approximate equality func isEqual(to other: Color, withPrecision p: Double = epsilon) -> Bool { r.isEqual(to: other.r, withPrecision: p) && g.isEqual(to: other.g, withPrecision: p) && b.isEqual(to: other.b, withPrecision: p) && a.isEqual(to: other.a, withPrecision: p) } } ShapeScript-1.6.14/Euclid/Sources/Euclid+AppKit.swift000066400000000000000000000042461450355336000223410ustar00rootroot00000000000000// // Euclid+AppKit.swift // Euclid // // Created by Nick Lockwood on 27/08/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // #if canImport(AppKit) && !canImport(UIKit) // not macCatalyst import AppKit typealias OSColor = NSColor typealias OSImage = NSImage typealias OSColorComponent = Double extension OSImage { var cgImage: CGImage? { cgImage(forProposedRect: nil, context: nil, hints: nil) } } public extension NSColor { /// Creates an `NSColor` from a ``Color``. /// - Parameter color: The color to convert. convenience init(_ color: Color) { self.init( red: CGFloat(color.r), green: CGFloat(color.g), blue: CGFloat(color.b), alpha: CGFloat(color.a) ) } } public extension Color { /// Creates a color from an `NSColor`. /// - Parameter nsColor: The `NSColor` to convert. init(_ nsColor: NSColor) { self.init(nsColor.cgColor) } } #endif ShapeScript-1.6.14/Euclid/Sources/Euclid+CoreGraphics.swift000066400000000000000000000232461450355336000235230ustar00rootroot00000000000000// // Euclid+CoreGraphics.swift // Euclid // // Created by Nick Lockwood on 09/03/2019. // Copyright © 2019 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // #if canImport(CoreGraphics) import CoreGraphics public extension Vector { /// Creates a vector from a CoreGraphics `CGPoint`. /// - Parameter cgPoint: the CoreGraphics point. init(_ cgPoint: CGPoint) { self.init(Double(cgPoint.x), Double(cgPoint.y)) } /// Creates a new vector from a CoreGraphics size. /// - Parameter cgSize: the CoreGraphics size. init(_ cgSize: CGSize) { self.init(Double(cgSize.width), Double(cgSize.height)) } } public extension Color { /// Creates a color from a CoreGraphics `CGColor`. /// - Parameter cgColor: The CoreGraphics color instance. init(_ cgColor: CGColor) { let components = cgColor.components ?? [1] self.init(unchecked: components.map(Double.init)) } } public extension CGPoint { /// Creates a `CGPoint` from the ``Vector/x`` and ``Vector/y`` components of a vector. /// - Parameter vector: The vector to convert into a point. init(_ vector: Vector) { self.init(x: vector.x, y: vector.y) } } public extension CGSize { /// Creates a `CGSize` from the X and Y components of a vector. /// - Parameter vector: The vector to convert into a point. init(_ vector: Vector) { self.init(width: vector.x, height: vector.y) } } public extension Path { /// Creates a Path from a `CGPath`. The returned path may contain nested subpaths. /// - Parameters: /// - cgPath: The CoreGraphics path to convert. /// - detail: The number of line segments used to approximate cubic or quadratic bezier curves. /// - color: An optional ``Color`` to apply to the path vertices. init(_ cgPath: CGPath, detail: Int = 4, color: Color? = nil) { self.init(subpaths: cgPath.paths(detail: detail, color: color)) } @available(*, deprecated, message: "Use `init(_:detail:color:)` instead") init(cgPath: CGPath, detail: Int = 4, color: Color? = nil) { self.init(subpaths: cgPath.paths(detail: detail, color: color)) } } public extension CGPath { /// Creates an array of paths from a CoreGraphics path. Returned paths will not contain nested subpaths. /// - Parameters /// - detail: The number of line segments used to approximate cubic or quadratic bezier curves. /// - color: An optional color to apply to the path vertices. func paths(detail: Int = 4, color: Color? = nil) -> [Path] { typealias SafeElement = (type: CGPathElementType, points: [CGPoint]) var paths = [Path]() var points = [PathPoint]() var startingPoint = Vector.zero var firstElement: SafeElement? var lastElement: SafeElement? func endPath() { if points.count > 1 { if points.count > 2, points.first == points.last, let firstElement = firstElement { updateLastPoint(nextElement: firstElement) } let points = sanitizePoints(points) let plane = flattenedPointsAreClockwise(points.map { $0.position }) ? Plane.xy.inverted() : .xy paths.append(Path(unchecked: points, plane: plane, subpathIndices: [])) } points.removeAll() firstElement = nil } func updateLastPoint(nextElement: SafeElement) { if points.isEmpty { points.append(.point(startingPoint, color: color)) return } guard let lastElement = lastElement else { return } let p0, p1, p2: CGPoint, isCurved: Bool switch nextElement.type { case .moveToPoint: points[points.count - 1].isCurved = false return case .closeSubpath: if let firstElement = firstElement { updateLastPoint(nextElement: firstElement) } return case .addLineToPoint: p2 = nextElement.points[0] isCurved = false case .addQuadCurveToPoint, .addCurveToPoint: p2 = nextElement.points[0] isCurved = true @unknown default: return } switch lastElement.type { case .moveToPoint, .closeSubpath: return case .addLineToPoint: guard points.count > 1, isCurved else { return } p0 = CGPoint(points[points.count - 2].position) p1 = lastElement.points[0] case .addQuadCurveToPoint: p0 = lastElement.points[0] p1 = lastElement.points[1] case .addCurveToPoint: p0 = lastElement.points[1] p1 = lastElement.points[2] @unknown default: return } let d0 = Vector(Double(p1.x - p0.x), Double(p1.y - p0.y)).normalized() let d1 = Vector(Double(p2.x - p1.x), Double(p2.y - p1.y)).normalized() let isTangent = abs(d0.dot(d1)) > 0.99 points[points.count - 1].isCurved = isTangent } applyWithBlock { var element: SafeElement = ($0.pointee.type, []) switch element.type { case .moveToPoint: endPath() element.points = [$0.pointee.points[0]] startingPoint = Vector(element.points[0]) case .closeSubpath: if points.last?.position != points.first?.position { points.append(points[0]) } startingPoint = points.first?.position ?? .zero endPath() case .addLineToPoint: let origin = $0.pointee.points[0] element.points = [origin] updateLastPoint(nextElement: element) points.append(.point(Vector(origin), color: color)) case .addQuadCurveToPoint: let p1 = $0.pointee.points[0], p2 = $0.pointee.points[1] element.points = [p1, p2] updateLastPoint(nextElement: element) guard detail > 0 else { points.append(.curve(Vector(p1), color: color)) points.append(.point(Vector(p2), color: color)) break } let detail = max(detail, 2) var t = 0.0 let step = 1 / Double(detail) let p0 = points.last ?? .point(startingPoint, color: color) for _ in 1 ..< detail { t += step points.append(.curve( quadraticBezier(p0.position.x, Double(p1.x), Double(p2.x), t), quadraticBezier(p0.position.y, Double(p1.y), Double(p2.y), t), color: color )) } points.append(.point(Vector(p2), color: color)) case .addCurveToPoint: let p1 = $0.pointee.points[0], p2 = $0.pointee.points[1], p3 = $0.pointee.points[2] element.points = [p1, p2, p3] updateLastPoint(nextElement: element) guard detail > 0 else { points.append(.curve(Vector(p1), color: color)) points.append(.curve(Vector(p2), color: color)) points.append(.point(Vector(p3), color: color)) break } let detail = max(detail * 2, 3) var t = 0.0 let step = 1 / Double(detail) let p0 = points.last ?? .point(startingPoint, color: color) for _ in 1 ..< detail { t += step points.append(.curve( cubicBezier(p0.position.x, Double(p1.x), Double(p2.x), Double(p3.x), t), cubicBezier(p0.position.y, Double(p1.y), Double(p2.y), Double(p3.y), t) )) } points.append(.point(Vector(p3), color: color)) @unknown default: return } if firstElement == nil, element.type != .moveToPoint { firstElement = element } lastElement = element } endPath() return paths } } #endif ShapeScript-1.6.14/Euclid/Sources/Euclid+CoreText.swift000066400000000000000000000164221450355336000227050ustar00rootroot00000000000000// // Euclid+CoreText.swift // Euclid // // Created by Nick Lockwood on 10/03/2019. // Copyright © 2019 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // #if canImport(CoreText) import CoreText import Foundation public extension Path { /// Creates an array of glyph contours from a string and font you provide. /// - Parameters: /// - text: The text to convert. /// - font: The font to use for the text. /// - width: The optional width at which to line-wrap the text. /// - detail: The number line segments used to approximate glyph curves. static func text( _ text: String, font: CTFont? = nil, width: Double? = nil, detail: Int = 2 ) -> [Path] { let attributedString = NSAttributedString(string: text, font: font) return self.text(attributedString, width: width, detail: detail) } /// Creates an array of glyph contours from an attributed string. /// - Parameters: /// - text: The text to convert. /// - width: The optional width at which to line-wrap the text. /// - detail: The number line segments used to approximate glyph curves. static func text( _ text: NSAttributedString, width: Double? = nil, detail: Int = 2 ) -> [Path] { text.cgPaths(width: width).map { let cgPath = CGMutablePath() let transform = CGAffineTransform(translationX: $1.x, y: $1.y) cgPath.addPath($0, transform: transform) return Path(cgPath, detail: detail, color: $2) } } } public extension Mesh { /// Creates an extruded text model from a string. /// - Parameters: /// - text: The text to convert into a model /// - font: The font to use for the text glyphs. /// - width: The optional width at which to line-wrap the text. /// - depth: The depth of the extruded text. /// - detail: The number line segments used to approximate glyph curves. /// - material: An optional material to apply to the mesh. static func text( _ text: String, font: CTFont? = nil, width: Double? = nil, depth: Double = 1, detail: Int = 2, material: Material? = nil ) -> Mesh { .text( NSAttributedString(string: text, font: font), width: width, depth: depth, detail: detail, material: material ) } /// Creates an extruded text model from an attributed string /// - Parameters: /// - text: The text to convert into a model /// - width: The optional width at which to line-wrap the text. /// - depth: The depth of the extruded text. /// - detail: The number line segments used to approximate glyph curves. /// - material: Optional material to apply to the mesh. static func text( _ text: NSAttributedString, width: Double? = nil, depth: Double = 1, detail: Int = 2, material: Material? = nil ) -> Mesh { var meshes = [Mesh]() var cache = [CGPath: Mesh]() for (cgPath, cgPoint, color) in text.cgPaths(width: width) { let offset = Vector(cgPoint) guard let mesh = cache[cgPath] else { let path = Path(cgPath, detail: detail, color: color) let mesh = Mesh.extrude(path, depth: depth, material: material) cache[cgPath] = mesh meshes.append(mesh.translated(by: offset)) continue } meshes.append(mesh.translated(by: offset)) } return .union(meshes) } } #if os(watchOS) // Workaround for missing constants on watchOS extension NSAttributedString.Key { static let font = NSAttributedString.Key(rawValue: "NSFont") } #endif private extension NSAttributedString { // Creates a new attributed string using text in the font you provide. convenience init(string: String, font: CTFont?) { let font = font ?? CTFontCreateWithName("Helvetica" as CFString, 1, nil) let attributes = [NSAttributedString.Key.font: font] self.init(string: string, attributes: attributes) } // Returns an array of (path, position, color) tuples // for the glyphs in an attributed string func cgPaths(width: Double?) -> [(glyph: CGPath, offset: CGPoint, color: Color?)] { let framesetter = CTFramesetterCreateWithAttributedString(self as CFAttributedString) let range = CFRangeMake(0, 0) let maxSize = CGSize(width: width ?? .greatestFiniteMagnitude, height: .greatestFiniteMagnitude) let size = CTFramesetterSuggestFrameSizeWithConstraints(framesetter, range, nil, maxSize, nil) let rectPath = CGPath(rect: CGRect(origin: .zero, size: size), transform: nil) let frame = CTFramesetterCreateFrame(framesetter, range, rectPath, nil) let lines = CTFrameGetLines(frame) as! [CTLine] var origins = Array(repeating: CGPoint.zero, count: lines.count) CTFrameGetLineOrigins(frame, range, &origins) var paths = [(CGPath, CGPoint, Color?)]() for (line, origin) in zip(lines, origins) { let runs = CTLineGetGlyphRuns(line) as! [CTRun] for run in runs { let attributes = CTRunGetAttributes(run) as! [NSAttributedString.Key: Any] let font = attributes[.font] as! CTFont let color = attributes[.foregroundColor] as? OSColor var glyph = CGGlyph() for index in 0 ..< CTRunGetGlyphCount(run) { let range = CFRangeMake(index, 1) CTRunGetGlyphs(run, range, &glyph) guard let letter = CTFontCreatePathForGlyph(font, glyph, nil) else { continue } var position = CGPoint.zero CTRunGetPositions(run, range, &position) position.x += origin.x position.y += origin.y - origins[0].y paths.append((letter, position, color.map(Color.init))) } } } return paths } } #endif ShapeScript-1.6.14/Euclid/Sources/Euclid+RealityKit.swift000066400000000000000000000252231450355336000232300ustar00rootroot00000000000000// // Euclid+RealityKit.swift // Euclid // // Created by Nick Lockwood on 05/10/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // #if canImport(RealityKit) && swift(>=5.4) import CoreGraphics import RealityKit @available(macOS 10.15, iOS 13.0, *) public extension RealityKit.Transform { init(_ transform: Euclid.Transform) { self.init( scale: .init(transform.scale), rotation: .init(transform.rotation), translation: .init(transform.offset) ) } } @available(macOS 12.0, iOS 15.0, *) private func defaultMaterialLookup(_ material: Polygon.Material?) -> RealityKit.Material? { switch material { case let material as RealityKit.Material: return material case let color as Color: return defaultMaterialLookup(OSColor(color)) case let color as OSColor: var material = SimpleMaterial() material.color = .init(tint: color) return material case let color as CGColor where CFGetTypeID(color) == CGColor.typeID: return defaultMaterialLookup(OSColor(cgColor: color)) case let image as OSImage: return defaultMaterialLookup(image.cgImage) case let image as CGImage where CFGetTypeID(image) == CGImage.typeID: guard let texture = try? TextureResource.generate( from: image, options: .init(semantic: .color) ) else { return nil } var material = SimpleMaterial() material.color = .init(texture: .init(texture)) return material default: return nil } } @available(macOS 12.0, iOS 15.0, *) public extension MeshDescriptor { /// Creates a mesh descriptor from a ``Mesh`` using triangles. /// - Parameters: /// - mesh: The mesh to convert into a RealityKit mesh descriptor. init(triangles mesh: Mesh) { self.init() var counts: [UInt8]? let data = mesh.getVertexData(maxSides: 3, counts: &counts) self.positions = .init(data.positions) self.normals = .init(data.normals) self.textureCoordinates = data.texcoords.map(MeshBuffers.TextureCoordinates.init) self.primitives = .triangles(data.indices) if !data.materialIndices.isEmpty { self.materials = .perFace(data.materialIndices) } } /// Creates a mesh descriptor from a ``Mesh`` using convex polygons. /// - Parameters: /// - mesh: The mesh to convert into a RealityKit mesh descriptor. init(polygons mesh: Mesh) { self.init() var counts: [UInt8]? = [] let data = mesh.getVertexData(maxSides: 255, counts: &counts) self.positions = .init(data.positions) self.normals = .init(data.normals) self.textureCoordinates = data.texcoords.map(MeshBuffers.TextureCoordinates.init) self.primitives = .polygons(counts!, data.indices) if !data.materialIndices.isEmpty { self.materials = .perFace(data.materialIndices) } } /// Creates a mesh descriptor from a ``Mesh`` using quads where possible (and triangles as required). /// - Parameters: /// - mesh: The mesh to convert into a RealityKit mesh descriptor. init(quads mesh: Mesh) { self.init() var counts: [UInt8]? = [] let data = mesh.getVertexData(maxSides: 4, counts: &counts) self.positions = .init(data.positions) self.normals = .init(data.normals) self.textureCoordinates = data.texcoords.map(MeshBuffers.TextureCoordinates.init) var i = 0 var quads = [UInt32]() var triangles = [UInt32]() let perFaceMaterials = !data.materialIndices.isEmpty for count in counts! { switch count { case 3: triangles += data.indices[i ..< i + 3] case 4: quads += data.indices[i ..< i + 4] default: assertionFailure() self.primitives = .polygons(counts!, data.indices) if perFaceMaterials { self.materials = .perFace(data.materialIndices) } return } i += Int(count) } self.primitives = .trianglesAndQuads(triangles: triangles, quads: quads) if perFaceMaterials { var triangles = [UInt32]() var quads = [UInt32]() for (count, material) in zip(counts!, data.materialIndices) { switch count { case 3: triangles.append(material) default: quads.append(material) } } self.materials = .perFace(triangles + quads) } } } @available(macOS 12.0, iOS 15.0, *) public extension ModelEntity { /// A closure that maps a Euclid material to a RealityKit material. /// - Parameter m: A Euclid material to convert, or `nil` for the default material. /// - Returns: A `Material` used by RealityKit. typealias MaterialProvider = (_ m: Polygon.Material?) -> RealityKit.Material? /// Creates a model entity from a ``Mesh`` using the default tessellation method. /// - Parameters: /// - mesh: The mesh to convert into a RealityKit model entity. /// - materialLookup: A closure to map the polygon material to a RealityKit material. convenience init(_ mesh: Mesh, materialLookup: MaterialProvider? = nil) throws { try self.init(triangles: mesh, materialLookup: materialLookup) } /// Creates a model entity from a ``Mesh`` using triangles. /// - Parameters: /// - mesh: The mesh to convert into a RealityKit model entity. /// - materialLookup: A closure to map the polygon material to a RealityKit material. convenience init(triangles mesh: Mesh, materialLookup: MaterialProvider? = nil) throws { let descriptor = MeshDescriptor(triangles: mesh) let resource = try MeshResource.generate(from: [descriptor]) self.init(mesh: resource, materials: mesh.materials(for: materialLookup)) } /// Creates a model entity from a ``Mesh`` using convex polygons. /// - Parameters: /// - mesh: The mesh to convert into a RealityKit model entity. /// - materialLookup: A closure to map the polygon material to a RealityKit material. convenience init(polygons mesh: Mesh, materialLookup: MaterialProvider? = nil) throws { let descriptor = MeshDescriptor(polygons: mesh) let resource = try MeshResource.generate(from: [descriptor]) self.init(mesh: resource, materials: mesh.materials(for: materialLookup)) } /// Creates a model entity from a ``Mesh`` using quads where possible (and triangles as required). /// - Parameters: /// - mesh: The mesh to convert into a RealityKit model entity. /// - materialLookup: A closure to map the polygon material to a RealityKit material. convenience init(quads mesh: Mesh, materialLookup: MaterialProvider? = nil) throws { let descriptor = MeshDescriptor(quads: mesh) let resource = try MeshResource.generate(from: [descriptor]) self.init(mesh: resource, materials: mesh.materials(for: materialLookup)) } } private extension Mesh { @available(macOS 12.0, iOS 15.0, *) func materials(for materialLookup: ModelEntity.MaterialProvider?) -> [RealityKit.Material] { let materialLookup = materialLookup ?? defaultMaterialLookup return materials.map { materialLookup($0) ?? SimpleMaterial() } } func getVertexData(maxSides: UInt8, counts: inout [UInt8]?) -> ( positions: [SIMD3], normals: [SIMD3], texcoords: [SIMD2]?, indices: [UInt32], materialIndices: [UInt32] ) { var positions: [SIMD3] = [] var normals: [SIMD3] = [] // looks bad with default normals var texcoords: [SIMD2]? = hasTexcoords ? [] : nil var indices = [UInt32]() var materialIndices = [UInt32]() var indicesByVertex = [Vertex: UInt32]() let polygonsByMaterial = self.polygonsByMaterial let perFaceMaterials = materials.count > 1 for (materialIndex, material) in materials.enumerated() { let polygons = polygonsByMaterial[material] ?? [] for polygon in polygons.tessellate(maxSides: Int(maxSides)) { counts?.append(UInt8(polygon.vertices.count)) for var vertex in polygon.vertices { vertex.color = .white // Note: vertex colors are not supported if let index = indicesByVertex[vertex] { indices.append(index) continue } let index = UInt32(indicesByVertex.count) indicesByVertex[vertex] = index indices.append(index) positions.append(.init(vertex.position)) normals.append(.init(vertex.normal)) if texcoords != nil { var texcoord = vertex.texcoord texcoord.y = 1 - texcoord.y texcoords?.append(.init(texcoord)) } } if perFaceMaterials { materialIndices.append(UInt32(materialIndex)) } } } return ( positions: positions, normals: normals, texcoords: texcoords, indices: indices, materialIndices: materialIndices ) } } #endif ShapeScript-1.6.14/Euclid/Sources/Euclid+SIMD.swift000066400000000000000000000070411450355336000217010ustar00rootroot00000000000000// // Euclid+SIMD.swift // Euclid // // Created by Nick Lockwood on 05/10/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // #if canImport(simd) import simd public extension simd_double3 { /// Creates a simd vector 3 from a Euclid `Vector`. /// - Parameter vector: A Euclid vector. init(_ vector: Vector) { self.init(vector.x, vector.y, vector.z) } } public extension simd_float3 { /// Creates a simd float vector 3 from a Euclid `Vector`. /// - Parameter vector: A Euclid vector. init(_ vector: Vector) { self.init(Float(vector.x), Float(vector.y), Float(vector.z)) } } public extension simd_float2 { /// Creates a simd float vector 2 from a Euclid `Vector`. /// - Parameter vector: A Euclid vector. init(_ vector: Vector) { self.init(Float(vector.x), Float(vector.y)) } } public extension Vector { /// Creates a `Vector` from a simd vector 3. /// - Parameter vector: A simd vector. init(_ vector: simd_double3) { self.init(vector.x, vector.y, vector.z) } } public extension simd_quatd { /// Creates a simd quaternion from a Euclid `Rotation`. /// - Parameter rotation: A Euclid rotation. init(_ rotation: Rotation) { self.init(rotation.quaternion) } /// Creates a simd quaternion from a Euclid `Quaternion`. /// - Parameter quaternion: A Euclid quaternion. init(_ quaternion: Quaternion) { self = quaternion.storage } } public extension simd_quatf { /// Creates a simd float quaternion from a Euclid `Rotation`. /// - Parameter rotation: A Euclid rotation. init(_ rotation: Rotation) { self.init(rotation.quaternion) } /// Creates a simd float quaternion from a Euclid `Quaternion`. /// - Parameter q: A Euclid quaternion. init(_ q: Quaternion) { self.init(ix: Float(q.x), iy: Float(q.y), iz: Float(q.z), r: Float(q.w)) } } public extension Rotation { /// Creates a `Rotation` from a simd quaternion. /// - Parameter quaternion: A simd quaternion. init(_ quaternion: simd_quatd) { self.init(Quaternion(quaternion)) } } public extension Quaternion { /// Creates a `Quaternion` from a simd quaternion. /// - Parameter quaternion: A simd quaternion. init(_ quaternion: simd_quatd) { self.storage = quaternion } } #endif ShapeScript-1.6.14/Euclid/Sources/Euclid+SceneKit.swift000066400000000000000000000661221450355336000226570ustar00rootroot00000000000000// // Euclid+SceneKit.swift // Euclid // // Created by Nick Lockwood on 03/07/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // #if canImport(SceneKit) import SceneKit public extension SCNVector3 { /// Creates a 3D SceneKit vector from a vector. /// - Parameter v: The vector to convert. init(_ v: Vector) { self.init(v.x, v.y, v.z) } } public extension SCNVector4 { /// Creates a 4D SceneKit vector from a color. /// - Parameter c: The color to convert. init(_ c: Color) { self.init(c.r, c.g, c.b, c.a) } } public extension SCNQuaternion { /// Creates a new SceneKit quaternion from a `Rotation` /// - Parameter rotation: The rotation to convert. /// /// > Note: ``SCNQuaternion`` is actually just a typealias for ``SCNVector4`` so be /// careful to avoid type ambiguity when using this value. init(_ rotation: Rotation) { self.init(rotation.quaternion) } /// Creates a new SceneKit quaternion from a Euclid `Quaternion` /// - Parameter quaternion: The quaternion to convert. /// /// > Note: ``SCNQuaternion`` is actually just a typealias for ``SCNVector4`` so be /// careful to avoid type ambiguity when using this value. init(_ quaternion: Quaternion) { self.init(quaternion.x, quaternion.y, quaternion.z, quaternion.w) } } public extension SCNMatrix4 { /// Creates a new SceneKit matrix from a `Transform` /// - Parameter transform: The transform to convert init(_ transform: Transform) { let node = SCNNode() node.setTransform(transform) self = node.transform } } public extension SCNNode { /// Applies the transform to the node. /// /// The transform applies to the orientation, scale, and position of the node. /// - Parameter transform: The transform to apply. func setTransform(_ transform: Transform) { orientation = SCNQuaternion(transform.rotation) scale = SCNVector3(transform.scale) position = SCNVector3(transform.offset) } } private func defaultMaterialLookup(_ material: Polygon.Material?) -> SCNMaterial? { switch material { case let scnMaterial as SCNMaterial: return scnMaterial case let color as Color: return defaultMaterialLookup(OSColor(color)) case let cfType as CFTypeRef where [ CGImage.typeID, CGColor.typeID, ].contains(CFGetTypeID(cfType)): fallthrough case is OSColor, is OSImage: let scnMaterial = SCNMaterial() scnMaterial.diffuse.contents = material return scnMaterial default: return nil } } extension SCNGeometrySource { convenience init(colors: [SCNVector4]) { let data = Data(bytes: colors, count: colors.count * MemoryLayout.size) self.init( data: data, semantic: .color, vectorCount: colors.count, usesFloatComponents: true, componentsPerVector: 4, bytesPerComponent: MemoryLayout.size, dataOffset: 0, dataStride: 0 ) } } public extension SCNGeometry { /// A closure that maps a Euclid material to a SceneKit material. /// - Parameter m: A Euclid material to convert, or `nil` for the default material. /// - Returns: An `SCNMaterial` used by SceneKit. typealias SCNMaterialProvider = (_ m: Polygon.Material?) -> SCNMaterial? /// Creates a geometry from a ``Mesh`` using the default tessellation method. /// - Parameters: /// - mesh: The mesh to convert into a SceneKit geometry. /// - materialLookup: A closure to map the polygon material to a SceneKit material. convenience init(_ mesh: Mesh, materialLookup: SCNMaterialProvider? = nil) { self.init(triangles: mesh, materialLookup: materialLookup) } /// Creates a geometry from a ``Mesh`` using triangles. /// - Parameters: /// - mesh: The mesh to convert into a SceneKit geometry. /// - materialLookup: A closure to map the polygon material to a SceneKit material. convenience init(triangles mesh: Mesh, materialLookup: SCNMaterialProvider? = nil) { var elements = [SCNGeometryElement]() var vertices = [SCNVector3]() var normals = [SCNVector3]() var texcoords = [CGPoint]() var colors = [SCNVector4]() var materials = [SCNMaterial]() var indicesByVertex = [Vertex: UInt32]() let hasTexcoords = mesh.hasTexcoords let hasVertexNormals = mesh.hasVertexNormals let hasVertexColors = mesh.hasVertexColors let materialLookup = materialLookup ?? defaultMaterialLookup let polygonsByMaterial = mesh.polygonsByMaterial for material in mesh.materials { let polygons = polygonsByMaterial[material] ?? [] materials.append(materialLookup(material) ?? SCNMaterial()) var indices = [UInt32]() for triangle in polygons.triangulate() { for var vertex in triangle.vertices { if !hasVertexNormals { vertex.normal = .zero } if let index = indicesByVertex[vertex] { indices.append(index) continue } let index = UInt32(indicesByVertex.count) indicesByVertex[vertex] = index indices.append(index) vertices.append(SCNVector3(vertex.position)) if hasVertexNormals { normals.append(SCNVector3(vertex.normal)) } if hasTexcoords { texcoords.append(CGPoint(vertex.texcoord)) } if hasVertexColors { colors.append(SCNVector4(vertex.color)) } } } elements.append(SCNGeometryElement(indices: indices, primitiveType: .triangles)) } var sources = [SCNGeometrySource(vertices: vertices)] if hasVertexNormals { sources.append(SCNGeometrySource(normals: normals)) } if hasTexcoords { sources.append(SCNGeometrySource(textureCoordinates: texcoords)) } if hasVertexColors { sources.append(SCNGeometrySource(colors: colors)) } self.init(sources: sources, elements: elements) self.materials = materials } /// Creates a geometry from a ``Mesh`` using convex polygons. /// - Parameters: /// - mesh: The mesh to convert into a SceneKit geometry. /// - materialLookup: A closure to map the polygon material to a SceneKit material. @available(OSX 10.12, iOS 10.0, tvOS 10.0, *) convenience init(polygons mesh: Mesh, materialLookup: SCNMaterialProvider? = nil) { var elementData = [(Int, Data)]() var vertices = [SCNVector3]() var normals = [SCNVector3]() var texcoords = [CGPoint]() var colors = [SCNVector4]() var materials = [SCNMaterial]() var indicesByVertex = [Vertex: UInt32]() let hasTexcoords = mesh.hasTexcoords let hasVertexNormals = mesh.hasVertexNormals let hasVertexColors = mesh.hasVertexColors let materialLookup = materialLookup ?? defaultMaterialLookup let polygonsByMaterial = mesh.polygonsByMaterial for material in mesh.materials { materials.append(materialLookup(material) ?? SCNMaterial()) let polygons = polygonsByMaterial[material]?.tessellate() ?? [] let bufferSize = polygons.reduce(polygons.count) { $0 + $1.vertices.count } let indexBuffer = Buffer(capacity: bufferSize * 4) for polygon in polygons { indexBuffer.append(UInt32(polygon.vertices.count)) } for polygon in polygons { for var vertex in polygon.vertices { if !hasVertexNormals { vertex.normal = .zero } if let index = indicesByVertex[vertex] { indexBuffer.append(index) continue } let index = UInt32(indicesByVertex.count) indicesByVertex[vertex] = index indexBuffer.append(index) vertices.append(SCNVector3(vertex.position)) if hasVertexNormals { normals.append(SCNVector3(vertex.normal)) } if hasTexcoords { texcoords.append(CGPoint(vertex.texcoord)) } if hasVertexColors { colors.append(SCNVector4(vertex.color)) } } } elementData.append((polygons.count, Data(indexBuffer))) } var sources = [SCNGeometrySource(vertices: vertices)] if hasVertexNormals { sources.append(SCNGeometrySource(normals: normals)) } if hasTexcoords { sources.append(SCNGeometrySource(textureCoordinates: texcoords)) } if hasVertexColors { sources.append(SCNGeometrySource(colors: colors)) } self.init( sources: sources, elements: elementData.map { count, indexData in SCNGeometryElement( data: indexData, primitiveType: .polygon, primitiveCount: count, bytesPerIndex: 4 ) } ) self.materials = materials } /// Creates a wireframe geometry from a collection of line segments. /// - Parameter edges: The collection of ``LineSegment`` to convert. convenience init(_ edges: T) where T.Element == LineSegment { var indices = [UInt32]() var vertices = [SCNVector3]() var indicesByVertex = [Vector: UInt32]() func addVertex(_ vertex: Vector) { if let index = indicesByVertex[vertex] { indices.append(index) return } let index = UInt32(indicesByVertex.count) indicesByVertex[vertex] = index indices.append(index) vertices.append(SCNVector3(vertex)) } for edge in edges { addVertex(edge.start) addVertex(edge.end) } self.init( sources: [SCNGeometrySource(vertices: vertices)], elements: [ SCNGeometryElement(indices: indices, primitiveType: .line), ] ) } /// Creates a wireframe geometry from a mesh. /// - Parameter mesh: The ``Mesh`` to use for the wireframe geometry. convenience init(wireframe mesh: Mesh) { self.init(mesh.uniqueEdges) } /// Creates line-segment geometry representing the vertex normals of a mesh. /// - Parameters: /// - mesh: The input ``Mesh``. /// - scale: The line length of the normal indicators. convenience init(normals mesh: Mesh, scale: Double = 1) { self.init(Set(mesh.polygons.flatMap { $0.vertices.compactMap { LineSegment($0.position, $0.position + $0.normal * scale) }})) } /// Creates a wrieframe geometry from a path. /// - Parameter path: The ``Path`` to convert into a geometry. convenience init(_ path: Path) { var indices = [UInt32]() var vertices = [SCNVector3]() var colors = [SCNVector4]() var indicesByPoint = [Vector: UInt32]() let hasColors = path.hasColors for path in path.subpaths { for vertex in path.edgeVertices { let position = vertex.position if let index = indicesByPoint[position] { indices.append(index) continue } let index = UInt32(indicesByPoint.count) indicesByPoint[position] = index indices.append(index) vertices.append(SCNVector3(position)) if hasColors { colors.append(SCNVector4(vertex.color)) } } } var sources = [SCNGeometrySource(vertices: vertices)] if hasColors { sources.append(SCNGeometrySource(colors: colors)) } self.init( sources: sources, elements: [ SCNGeometryElement(indices: indices, primitiveType: .line), ] ) } /// Creates a wireframe geometry from a bounding box. /// - Parameter bounds: The ``Bounds`` to convert into a geometry. convenience init(_ bounds: Bounds) { let vertices = bounds.corners.map { SCNVector3($0) } let indices: [UInt32] = [ // bottom 0, 1, 1, 2, 2, 3, 3, 0, // top 4, 5, 5, 6, 6, 7, 7, 4, // columns 0, 4, 1, 5, 2, 6, 3, 7, ] self.init( sources: [SCNGeometrySource(vertices: vertices)], elements: [ SCNGeometryElement(indices: indices, primitiveType: .line), ] ) } @available(*, deprecated, message: "Use `init(_:)` instead") convenience init(bounds: Bounds) { self.init(bounds) } } // MARK: import private extension Data { func index(at index: Int, bytes: Int) -> UInt32 { switch bytes { case 1: return UInt32(self[index]) case 2: return UInt32(uint16(at: index * 2)) case 4: return uint32(at: index * 4) default: preconditionFailure() } } func uint16(at index: Int) -> UInt16 { var int: UInt16 = 0 withUnsafeMutablePointer(to: &int) { pointer in copyBytes( to: UnsafeMutableBufferPointer(start: pointer, count: 1), from: index ..< index + 2 ) } return int } func uint32(at index: Int) -> UInt32 { var int: UInt32 = 0 withUnsafeMutablePointer(to: &int) { pointer in copyBytes( to: UnsafeMutableBufferPointer(start: pointer, count: 1), from: index ..< index + 4 ) } return int } func float(at index: Int) -> Double { var float: Float = 0 withUnsafeMutablePointer(to: &float) { pointer in copyBytes( to: UnsafeMutableBufferPointer(start: pointer, count: 1), from: index ..< index + 4 ) } return Double(float) } func vector(at index: Int) -> Vector { Vector( float(at: index), float(at: index + 4), float(at: index + 8) ) } } public extension Vector { /// Creates a new vector from a SceneKit vector. /// - Parameter v: The SceneKit `SCNVector3`. init(_ v: SCNVector3) { self.init(Double(v.x), Double(v.y), Double(v.z)) } } public extension Rotation { /// Creates a rotation from a SceneKit quaternion. /// - Parameter quaternion: The `SCNQuaternion` to convert. init(_ quaternion: SCNQuaternion) { self.init(.init(quaternion)) } } public extension Quaternion { /// Creates a Euclid `Quaternion` from a SceneKit quaternion. /// - Parameter q: The `SCNQuaternion` to convert. init(_ q: SCNQuaternion) { self.init(Double(q.x), Double(q.y), Double(q.z), Double(q.w)) } } public extension Transform { /// Creates a transform from a SceneKit transform matrix. /// - Parameter scnMatrix: The `SCNMatrix4` from which to determine the transform. init(_ scnMatrix: SCNMatrix4) { let node = SCNNode() node.transform = scnMatrix self = .transform(from: node) } /// Creates a transform from the current position, scale and orientation of a SceneKit node. /// - Parameter scnNode: The `SCNNode` from which to determine the transform. static func transform(from scnNode: SCNNode) -> Transform { Transform( offset: Vector(scnNode.position), rotation: Rotation(scnNode.orientation), scale: Vector(scnNode.scale) ) } } public extension Bounds { /// Creates a bounds from two SceneKit vectors. /// - Parameter scnBoundingBox: A tuple of two `SCNVector3` that /// represent opposite corners of the bounding box volume. init(_ scnBoundingBox: (min: SCNVector3, max: SCNVector3)) { self.init( min: Vector(scnBoundingBox.min), max: Vector(scnBoundingBox.max) ) } } public extension Mesh { /// A closure that maps a SceneKit material to a Euclid material. /// - Parameter m: An `SCNMaterial` material to convert. /// - Returns: A ``Material`` instance, or `nil` for the default material. typealias MaterialProvider = (_ m: SCNMaterial) -> Material? /// Loads a mesh from a file using any format supported by SceneKit, with optional material mapping. /// - Parameters: /// - url: The `URL` of the file to be loaded. /// - ignoringTransforms: Should node transforms from the input file be ignored. /// - materialLookup: An optional closure to map the SceneKit materials to Euclid materials. /// If omitted, the `SCNMaterial` will be directly used as the mesh material. init(url: URL, ignoringTransforms: Bool, materialLookup: MaterialProvider? = nil) throws { var options: [SCNSceneSource.LoadingOption: Any] = [ .checkConsistency: false, .flattenScene: true, .createNormalsIfAbsent: true, .convertToYUp: true, ] if #available(iOS 13, tvOS 13, macOS 10.12, *) { options[.preserveOriginalTopology] = true } if !FileManager.default.isReadableFile(atPath: url.path) { _ = try Data(contentsOf: url) // Will throw error if unreachable } let importedScene = try SCNScene(url: url, options: options) self.init( importedScene.rootNode, ignoringTransforms: ignoringTransforms, materialLookup: materialLookup ) } /// Creates a mesh from a SceneKit node, with optional material mapping. /// - Parameters: /// - scnNode: The `SCNNode` to convert into a mesh. /// - ignoringTransforms: Should transforms from the input node and its children be ignored. /// - materialLookup: An optional closure to map the SceneKit materials to Euclid materials. /// If omitted, the `SCNMaterial` will be directly used as the mesh material. init(_ scnNode: SCNNode, ignoringTransforms: Bool, materialLookup: MaterialProvider? = nil) { var meshes = [Mesh]() if let mesh = scnNode.geometry.flatMap({ Mesh($0, materialLookup: materialLookup) }) { meshes.append(mesh) } meshes += scnNode.childNodes.map { Mesh($0, ignoringTransforms: ignoringTransforms, materialLookup: materialLookup) } var mesh = Mesh.merge(meshes) if !ignoringTransforms { if !SCNMatrix4IsIdentity(scnNode.pivot) { mesh = mesh.transformed(by: Transform(SCNMatrix4Invert(scnNode.pivot))) } mesh = mesh.transformed(by: .transform(from: scnNode)) } self = mesh } /// Creates a mesh from a SceneKit geometry, with optional material mapping. /// - Parameters: /// - scnGeometry: The `SCNGeometry` to convert into a mesh. /// - materialLookup: An optional closure to map SceneKit materials to Euclid materials. /// If omitted, the `SCNMaterial` will be directly used as the mesh material. init?(_ scnGeometry: SCNGeometry, materialLookup: MaterialProvider? = nil) { // Force properties to update let scnGeometry = scnGeometry.copy() as! SCNGeometry var polygons = [Polygon]() var vertices = [Vertex]() for source in scnGeometry.sources { let count = source.vectorCount if vertices.isEmpty { vertices = Array(repeating: Vertex(.zero), count: count) } else if vertices.count != source.vectorCount { return nil } var offset = source.dataOffset let stride = source.dataStride let data = source.data switch source.semantic { case .vertex: for i in 0 ..< count { vertices[i].position = data.vector(at: offset) offset += stride } case .normal: for i in 0 ..< count { vertices[i].normal = data.vector(at: offset) offset += stride } case .texcoord: for i in 0 ..< count { vertices[i].texcoord = Vector( data.float(at: offset), data.float(at: offset + 4) ) offset += stride } default: continue } } let materialLookup = materialLookup ?? { $0 as Material } let materials = scnGeometry.materials.map(materialLookup) for (index, element) in scnGeometry.elements.enumerated() { let material = materials.isEmpty ? nil : materials[index % materials.count] let indexData = element.data let indexSize = element.bytesPerIndex func vertex(at i: Int) -> Vertex { let index = indexData.index(at: i, bytes: indexSize) return vertices[Int(index)] } switch element.primitiveType { case .triangles: for i in 0 ..< element.primitiveCount { Polygon([ vertex(at: i * 3), vertex(at: i * 3 + 1), vertex(at: i * 3 + 2), ], material: material).map { polygons.append($0) } } case .triangleStrip: for i in stride(from: 0, to: element.primitiveCount - 1, by: 2) { Polygon([ vertex(at: i), vertex(at: i + 1), vertex(at: i + 2), ], material: material).map { polygons.append($0) } Polygon([ vertex(at: i + 3), vertex(at: i + 2), vertex(at: i + 1), ], material: material).map { polygons.append($0) } } case let type where type.rawValue == 4: // polygon let polyCount = element.primitiveCount var index = polyCount for i in 0 ..< polyCount { let vertexCount = indexData.index(at: i, bytes: indexSize) var vertices = [Vertex]() for _ in 0 ..< vertexCount { vertices.append(vertex(at: index)) index += 1 } if let polygon = Polygon(vertices, material: material) { polygons.append(polygon) } else { for triangle in triangulateVertices( vertices, plane: nil, isConvex: nil, sanitizeNormals: true, material: material, id: 0 ) { polygons.append(triangle) } } } default: // TODO: throw detailed error message instead print("Unsupported SCNGeometryPrimitiveType: \(element.primitiveType.rawValue)") return nil } } let isKnownConvex: Bool let noSubmeshes: Bool switch scnGeometry { case is SCNPlane, is SCNBox, is SCNPyramid, is SCNSphere, is SCNCylinder, is SCNCone, is SCNCapsule: isKnownConvex = true noSubmeshes = true case is SCNTube, is SCNTorus: isKnownConvex = false noSubmeshes = true case is SCNText, is SCNShape: isKnownConvex = false noSubmeshes = false default: isKnownConvex = false noSubmeshes = false } var holeEdges = polygons.holeEdges var precision = epsilon * 10 for _ in 0 ..< 3 where !holeEdges.isEmpty { let holePoints = holeEdges.reduce(into: Set()) { $0.insert($1.start) $0.insert($1.end) } polygons = polygons.mergingVertices(holePoints, withPrecision: precision) holeEdges = polygons.holeEdges precision *= 10 } self.init( unchecked: polygons, bounds: Bounds(scnGeometry.boundingBox), isConvex: isKnownConvex, isWatertight: holeEdges.isEmpty, submeshes: noSubmeshes ? [] : nil ) } /// Creates a mesh from a SceneKit geometry, with the material you provide. /// - Parameters: /// - scnGeometry: The `SCNGeometry` to convert. /// - material: A ``Material`` to apply to the geometry, replacing any existing materials. /// Pass `nil` to use the default Euclid material. init?(_ scnGeometry: SCNGeometry, material: Material?) { self.init(scnGeometry) { _ in material } } @available(*, deprecated, message: "Use `init(_:materialLookup:)` instead") init?(scnGeometry: SCNGeometry, materialLookup: MaterialProvider? = nil) { self.init(scnGeometry, materialLookup: materialLookup) } } #endif ShapeScript-1.6.14/Euclid/Sources/Euclid+UIKit.swift000066400000000000000000000040011450355336000221230ustar00rootroot00000000000000// // Euclid+UIKit.swift // Euclid // // Created by Nick Lockwood on 27/08/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // #if canImport(UIKit) import UIKit typealias OSColor = UIColor typealias OSImage = UIImage typealias OSColorComponent = Float public extension UIColor { /// Creates a UIKit color from a ``Color``. /// - Parameter color: The color to convert. convenience init(_ color: Color) { self.init( red: CGFloat(color.r), green: CGFloat(color.g), blue: CGFloat(color.b), alpha: CGFloat(color.a) ) } } public extension Color { /// Creates a color from a `UIColor`. /// - Parameter uiColor: The `UIColor` to convert. init(_ uiColor: UIColor) { self.init(uiColor.cgColor) } } #endif ShapeScript-1.6.14/Euclid/Sources/Euclid.h000066400000000000000000000007541450355336000202500ustar00rootroot00000000000000// // Euclid.h // Euclid // // Created by Nick Lockwood on 11/12/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // #import //! Project version number for Euclid. FOUNDATION_EXPORT double EuclidVersionNumber; //! Project version string for Euclid. FOUNDATION_EXPORT const unsigned char EuclidVersionString[]; // In this header, you should import all the public headers of your framework using statements like #import ShapeScript-1.6.14/Euclid/Sources/Info.plist000066400000000000000000000015241450355336000206360ustar00rootroot00000000000000 CFBundleDevelopmentRegion $(DEVELOPMENT_LANGUAGE) CFBundleExecutable $(EXECUTABLE_NAME) CFBundleIdentifier $(PRODUCT_BUNDLE_IDENTIFIER) CFBundleInfoDictionaryVersion 6.0 CFBundleName $(PRODUCT_NAME) CFBundlePackageType FMWK CFBundleShortVersionString $(MARKETING_VERSION) CFBundleVersion $(CURRENT_PROJECT_VERSION) NSHumanReadableCopyright Copyright © 2018 Nick Lockwood. All rights reserved. ShapeScript-1.6.14/Euclid/Sources/Line.swift000066400000000000000000000146511450355336000206400ustar00rootroot00000000000000// // Line.swift // Euclid // // Created by Nick Lockwood on 20/11/2019. // Copyright © 2018 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // /// An infinite line in 3D space. public struct Line: Hashable, Sendable { // An arbitrary point on the line selected as the origin. public let origin: Vector // The normalized direction of the line. public let direction: Vector /// Creates a line from an origin and direction. /// - Parameters: /// - origin: An arbitrary point on the line selected as the origin. /// - direction: The direction of the line, emanating from the origin. public init?(origin: Vector, direction: Vector) { let length = direction.length guard length.isFinite, length > epsilon else { return nil } self.init(unchecked: origin, direction: direction / length) } } extension Line: Codable { private enum CodingKeys: CodingKey { case origin, direction } /// Creates a new line by decoding from the given decoder. /// - Parameter decoder: The decoder to read data from. public init(from decoder: Decoder) throws { if let container = try? decoder.container(keyedBy: CodingKeys.self) { guard let line = try Line( origin: container.decode(Vector.self, forKey: .origin), direction: container.decode(Vector.self, forKey: .direction) ) else { throw DecodingError.dataCorruptedError( forKey: .direction, in: container, debugDescription: "Line direction must have nonzero length" ) } self = line } else { var container = try decoder.unkeyedContainer() guard let line = try Line( origin: Vector(from: &container), direction: Vector(from: &container) ) else { throw DecodingError.dataCorruptedError( in: container, debugDescription: "Line direction must have nonzero length" ) } self = line } } /// Encodes this line into the given encoder. /// - Parameter encoder: The encoder to write data to. public func encode(to encoder: Encoder) throws { var container = encoder.unkeyedContainer() try origin.encode(to: &container) try direction.encode(to: &container) } } public extension Line { /// Creates a new line from the specified line segment. /// - Parameter segment: A segment somewhere on the line. init(_ segment: LineSegment) { self.init(unchecked: segment.start, direction: segment.direction) } /// Returns a Boolean value that indicates whether the specified point lies on the line. /// - Parameter point: The point to test. /// - Returns: `true` if the point lies on the line and `false` otherwise. func containsPoint(_ point: Vector) -> Bool { abs(point.distance(from: self)) < epsilon } /// Returns the perpendicular distance of the line from a specified point. /// - Parameter point: The point to compare. /// - Returns: The absolute perpendicular distance between the point and line. func distance(from point: Vector) -> Double { vectorFromPointToLine(point, origin, direction).length } /// Returns the perpendicular distance from another line to this one. /// - Parameter line: The line to compare. /// - Returns: The perpendicular distance from the other line. func distance(from line: Line) -> Double { guard let (p0, p1) = shortestLineBetween( origin, origin + direction, line.origin, line.origin + line.direction, inSegment: false ) else { return 0 } return (p1 - p0).length } /// Returns the point where the specified plane intersects the line. /// - Parameter plane: The plane to compare with. /// - Returns: The point of intersection, or `nil` if the line and plane are parallel (don't intersect). func intersection(with plane: Plane) -> Vector? { plane.intersection(with: self) } /// Returns the point where the specified line intersects this one. /// - Parameter line: The line to compare with. /// - Returns: The point of intersection, or `nil` if the lines don't intersect. func intersection(with line: Line) -> Vector? { lineIntersection( origin, origin + direction, line.origin, line.origin + line.direction ) } /// Returns a Boolean value that indicates whether the lines intersect. /// - Parameter line: The line to compare with. /// - Returns: `true` if the lines intersect and `false` otherwise. func intersects(_ line: Line) -> Bool { intersection(with: line) != nil } } extension Line { init(unchecked origin: Vector, direction: Vector) { assert(direction.isNormalized) self.origin = origin - direction * ( direction.x != 0 ? origin.x / direction.x : direction.y != 0 ? origin.y / direction.y : origin.z / direction.z ) self.direction = direction } } ShapeScript-1.6.14/Euclid/Sources/LineSegment.swift000066400000000000000000000151111450355336000221530ustar00rootroot00000000000000// // LineSegment.swift // Euclid // // Created by Nick Lockwood on 20/11/2019. // Copyright © 2018 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // /// A finite line segment in 3D space. public struct LineSegment: Hashable, Sendable { // The starting point of the line segment. public let start: Vector // The end point of the line segment. public let end: Vector /// Creates a line segment with a start and end point. /// - Parameters: /// - start: The start of the line segment. /// - end: The end of the line segment. public init?(_ start: Vector, _ end: Vector) { guard start != end else { return nil } self.start = start self.end = end } } extension LineSegment: Comparable { /// Returns whether the leftmost line segment has the lower value. /// This provides a stable order when sorting collections of line segments. public static func < (lhs: LineSegment, rhs: LineSegment) -> Bool { if lhs.start == rhs.start { return lhs.end < rhs.end } return lhs.start < rhs.start } } extension LineSegment: Codable { private enum CodingKeys: CodingKey { case start, end } /// Creates a new line segment by decoding from the given decoder. /// - Parameter decoder: The decoder to read data from. public init(from decoder: Decoder) throws { if let container = try? decoder.container(keyedBy: CodingKeys.self) { guard let segment = try LineSegment( container.decode(Vector.self, forKey: .start), container.decode(Vector.self, forKey: .end) ) else { throw DecodingError.dataCorruptedError( forKey: .end, in: container, debugDescription: "LineSegment cannot have zero length" ) } self = segment } else { var container = try decoder.unkeyedContainer() guard let segment = try LineSegment( Vector(from: &container), Vector(from: &container) ) else { throw DecodingError.dataCorruptedError( in: container, debugDescription: "LineSegment cannot have zero length" ) } self = segment } } /// Encodes this line segment into the given encoder. /// - Parameter encoder: The encoder to write data to. public func encode(to encoder: Encoder) throws { var container = encoder.unkeyedContainer() try start.encode(to: &container) try end.encode(to: &container) } } public extension LineSegment { /// The direction of the line segment as a normalized vector. var direction: Vector { (end - start).normalized() } /// The length of the line segment. var length: Double { (end - start).length } /// Flip the direction of the line segment func inverted() -> LineSegment { .init(unchecked: end, start) } /// Returns a Boolean value that indicates whether the specified point lies on the line segment. /// - Parameter point: The point to test. /// - Returns: `true` if the point lies on the line segment and `false` otherwise. func containsPoint(_ point: Vector) -> Bool { guard vectorFromPointToLine(point, start, direction).isZero else { return false } return Bounds(start, end).inset(by: -epsilon).containsPoint(point) } /// Returns the point where the specified plane intersects the line segment. /// - Parameter plane: The plane to compare with. /// - Returns: The point of intersection, or `nil` if the line segment and plane don't intersect. func intersection(with plane: Plane) -> Vector? { plane.intersection(with: self) } /// Returns the intersection point between the specified line segment and this one. /// - Parameter segment: The line segment to compare with. /// - Returns: The point of intersection, or `nil` if the line segments don't intersect. func intersection(with segment: LineSegment) -> Vector? { lineSegmentsIntersection(start, end, segment.start, segment.end) } /// Returns a Boolean value that indicates whether two line segements intersect. /// - Parameter segment: The line segment to compare with. /// - Returns: `true` if the line segments intersect and `false` otherwise. func intersects(_ segment: LineSegment) -> Bool { intersection(with: segment) != nil } } extension LineSegment { init(unchecked start: Vector, _ end: Vector) { assert(start != end) self.start = start self.end = end } init(normalized start: Vector, _ end: Vector) { if start < end { self.init(unchecked: start, end) } else { self.init(unchecked: end, start) } } func compare(with plane: Plane) -> PlaneComparison { switch (start.compare(with: plane), end.compare(with: plane)) { case (.coplanar, .coplanar): return .coplanar case (.front, .back), (.back, .front): return .spanning case (.front, _), (_, .front): return .front case (.back, _), (_, .back): return .back case (.spanning, _), (_, .spanning): preconditionFailure() } } } ShapeScript-1.6.14/Euclid/Sources/Mesh+CSG.swift000066400000000000000000000502471450355336000212560ustar00rootroot00000000000000// // Mesh+CSG.swift // Euclid // // Created by Nick Lockwood on 03/07/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // // Inspired by: https://github.com/evanw/csg.js public extension Mesh { /// Callback used to cancel a long-running operation. /// - Returns: `true` if operation should be cancelled, or `false` otherwise. typealias CancellationHandler = () -> Bool /// Returns a new mesh representing the combined volume of the /// mesh parameter and the receiver, with inner faces removed. /// /// +-------+ +-------+ /// | | | | /// | A | | | /// | +--+----+ = | +----+ /// +----+--+ | +----+ | /// | B | | | /// | | | | /// +-------+ +-------+ /// /// - Parameters /// - mesh: The mesh to form a union with. /// - isCancelled: Callback used to cancel the operation. /// - Returns: A new mesh representing the union of the input meshes. func union(_ mesh: Mesh, isCancelled: CancellationHandler = { false }) -> Mesh { let intersection = bounds.intersection(mesh.bounds) if intersection.isEmpty { return Mesh( unchecked: polygons + mesh.polygons, bounds: bounds.union(mesh.bounds), isConvex: false, isWatertight: watertightIfSet.flatMap { isWatertight in mesh.watertightIfSet.map { $0 && isWatertight } }, submeshes: submeshesIfEmpty.flatMap { _ in mesh.submeshesIfEmpty.map { _ in [self, mesh] } } ) } var lhs: [Polygon] = [], rhs: [Polygon] = [] inParallel({ var aout: [Polygon]? = [] let ap = BSP(mesh, isCancelled).clip( boundsTest(intersection, polygons, &aout), .greaterThan, isCancelled ) lhs = aout! + ap }, { var bout: [Polygon]? = [] let bp = BSP(self, isCancelled).clip( boundsTest(intersection, mesh.polygons, &bout), .greaterThanEqual, isCancelled ) rhs = bout! + bp }) return Mesh( unchecked: lhs + rhs, bounds: bounds.union(mesh.bounds), isConvex: false, isWatertight: nil, submeshes: nil // TODO: can this be preserved? ) } /// Efficiently forms a union from multiple meshes. /// - Parameters /// - meshes: A collection of meshes to be unioned. /// - isCancelled: Callback used to cancel the operation. /// - Returns: A new mesh representing the union of the input meshes. static func union( _ meshes: T, isCancelled: CancellationHandler = { false } ) -> Mesh where T.Element == Mesh { merge(meshes, using: { $0.union($1, isCancelled: $2) }, isCancelled) } /// Returns a new mesh created by subtracting the volume of the /// mesh parameter from the receiver. /// /// +-------+ +-------+ /// | | | | /// | A | | | /// | +--+----+ = | +--+ /// +----+--+ | +----+ /// | B | /// | | /// +-------+ /// /// - Parameters /// - mesh: The mesh to subtract from this one. /// - isCancelled: Callback used to cancel the operation. /// - Returns: A new mesh representing the result of the subtraction. func subtract(_ mesh: Mesh, isCancelled: CancellationHandler = { false }) -> Mesh { let intersection = bounds.intersection(mesh.bounds) guard !intersection.isEmpty else { return self } var lhs: [Polygon] = [], rhs: [Polygon] = [] inParallel({ var aout: [Polygon]? = [] let ap = BSP(mesh, isCancelled).clip( boundsTest(intersection, polygons, &aout), .greaterThan, isCancelled ) lhs = aout! + ap }, { var bout: [Polygon]? let bp = BSP(self, isCancelled).clip( boundsTest(intersection, mesh.polygons, &bout), .lessThan, isCancelled ) rhs = bp.inverted() }) return Mesh( unchecked: lhs + rhs, bounds: nil, // TODO: is there a way to preserve this efficiently? isConvex: false, isWatertight: nil, submeshes: nil // TODO: can this be preserved? ) } /// Efficiently gets the difference between multiple meshes. /// - Parameters /// - meshes: An ordered collection of meshes. All but the first will be subtracted from the first. /// - isCancelled: Callback used to cancel the operation. /// - Returns: A new mesh representing the difference between the meshes. static func difference( _ meshes: T, isCancelled: CancellationHandler = { false } ) -> Mesh where T.Element == Mesh { reduce(meshes, using: { $0.subtract($1, isCancelled: $2) }, isCancelled) } /// Returns a new mesh reprenting only the volume exclusively occupied by /// one shape or the other, but not both. /// /// +-------+ +-------+ /// | | | | /// | A | | | /// | +--+----+ = | ++++----+ /// +----+--+ | +----++++ | /// | B | | | /// | | | | /// +-------+ +-------+ /// /// - Parameters /// - mesh: The mesh to be XORed with this one. /// - isCancelled: Callback used to cancel the operation. /// - Returns: A new mesh representing the XOR of the meshes. func xor(_ mesh: Mesh, isCancelled: CancellationHandler = { false }) -> Mesh { let intersection = bounds.intersection(mesh.bounds) guard !intersection.isEmpty else { return merge(mesh) } var absp, bbsp: BSP! inParallel({ absp = BSP(self, isCancelled) }, { bbsp = BSP(mesh, isCancelled) }) var lhs: [Polygon] = [], rhs: [Polygon] = [] inParallel({ var aout: [Polygon]? = [] let ap = boundsTest(intersection, polygons, &aout) let (ap1, ap2) = bbsp.split(ap, .greaterThan, .lessThan, isCancelled) lhs = aout! + ap1 + ap2.inverted() }, { var bout: [Polygon]? = [] let bp = boundsTest(intersection, mesh.polygons, &bout) let (bp2, bp1) = absp.split(bp, .greaterThan, .lessThan, isCancelled) rhs = bout! + bp2 + bp1.inverted() }) return Mesh( unchecked: lhs + rhs, bounds: nil, // TODO: is there a way to efficiently preserve this? isConvex: false, isWatertight: nil, submeshes: nil // TODO: can this be preserved? ) } /// Efficiently XORs multiple meshes. /// - Parameters /// - meshes: A collection of meshes to be XORed. /// - isCancelled: Callback used to cancel the operation /// - Returns: A new mesh representing the XOR of the meshes. static func xor( _ meshes: T, isCancelled: CancellationHandler = { false } ) -> Mesh where T.Element == Mesh { merge(meshes, using: { $0.xor($1, isCancelled: $2) }, isCancelled) } /// Returns a new mesh representing the volume shared by both the mesh /// parameter and the receiver. If these do not intersect, an empty mesh will be returned. /// /// +-------+ /// | | /// | A | /// | +--+----+ = +--+ /// +----+--+ | +--+ /// | B | /// | | /// +-------+ /// /// - Parameters /// - mesh: The mesh to be intersected with this one. /// - isCancelled: Callback used to cancel the operation. /// - Returns: A new mesh representing the intersection of the meshes. func intersect( _ mesh: Mesh, isCancelled: CancellationHandler = { false } ) -> Mesh { let intersection = bounds.intersection(mesh.bounds) guard !intersection.isEmpty else { return .empty } var out: [Polygon]? var lhs: [Polygon] = [], rhs: [Polygon] = [] inParallel({ lhs = BSP(mesh, isCancelled).clip( boundsTest(intersection, polygons, &out), .lessThan, isCancelled ) }, { rhs = BSP(self, isCancelled).clip( boundsTest(intersection, mesh.polygons, &out), .lessThanEqual, isCancelled ) }) return Mesh( unchecked: lhs + rhs, bounds: nil, // TODO: is there a way to efficiently preserve this? isConvex: isKnownConvex && mesh.isKnownConvex, isWatertight: nil, submeshes: nil // TODO: can this be preserved? ) } /// Efficiently computes the intersection of multiple meshes. /// - Parameters /// - meshes: A collection of meshes to be intersected. /// - isCancelled: Callback used to cancel the operation. /// - Returns: A new mesh representing the intersection of the meshes. static func intersection( _ meshes: T, isCancelled: CancellationHandler = { false } ) -> Mesh where T.Element == Mesh { let head = meshes.first ?? .empty, tail = meshes.dropFirst() let bounds = tail.reduce(into: head.bounds) { $0.formUnion($1.bounds) } if bounds.isEmpty { return .empty } return tail.reduce(into: head) { $0 = $0.intersect($1, isCancelled: isCancelled) } } /// Returns a new mesh that retains the shape of the receiver, but with /// the intersecting area colored using material from the parameter. /// /// +-------+ +-------+ /// | | | | /// | A | | | /// | +--+----+ = | +--+ /// +----+--+ | +----+--+ /// | B | /// | | /// +-------+ /// /// - Parameters /// - mesh: The mesh to be stencilled onto this one. /// - isCancelled: Callback used to cancel the operation. /// - Returns: A new mesh representing the result of stencilling. func stencil( _ mesh: Mesh, isCancelled: CancellationHandler = { false } ) -> Mesh { let intersection = bounds.intersection(mesh.bounds) guard !intersection.isEmpty else { return self } var aout: [Polygon]? = [] let ap = boundsTest(bounds.intersection(mesh.bounds), polygons, &aout) let bsp = BSP(mesh, isCancelled) let (outside, inside) = bsp.split(ap, .greaterThan, .lessThanEqual, isCancelled) let material = mesh.polygons.first?.material return Mesh( unchecked: aout! + outside + inside.map { $0.with(material: material) }, bounds: bounds, isConvex: isKnownConvex, isWatertight: nil, submeshes: submeshesIfEmpty ) } /// Efficiently performs a stencil with multiple meshes. /// - Parameters /// - meshes: An ordered collection of meshes. All but the first will be stencilled onto the first. /// - isCancelled: Callback used to cancel the operation. /// - Returns: A new mesh representing the result of stencilling. static func stencil( _ meshes: T, isCancelled: CancellationHandler = { false } ) -> Mesh where T.Element == Mesh { reduce(meshes, using: { $0.stencil($1, isCancelled: $2) }, isCancelled) } /// Split the mesh along a plane. /// - Parameter along: The ``Plane`` to split the mesh along. /// - Returns: A pair of meshes representing the parts in front of and behind the plane respectively. /// /// > Note: If the plane and mesh do not intersect, one of the returned meshes will be `nil`. func split(along plane: Plane) -> (front: Mesh?, back: Mesh?) { switch bounds.compare(with: plane) { case .front: return (self, nil) case .back: return (nil, self) case .spanning, .coplanar: var id = 0 var coplanar = [Polygon](), front = [Polygon](), back = [Polygon]() for polygon in polygons { polygon.split(along: plane, &coplanar, &front, &back, &id) } for polygon in coplanar { plane.normal.dot(polygon.plane.normal) > 0 ? front.append(polygon) : back.append(polygon) } if front.isEmpty { return (nil, self) } else if back.isEmpty { return (self, nil) } return ( Mesh( unchecked: front, bounds: nil, isConvex: false, isWatertight: nil, submeshes: nil ), Mesh( unchecked: back, bounds: nil, isConvex: false, isWatertight: nil, submeshes: nil ) ) } } /// Clip mesh to the specified plane and optionally fill sheared faces with specified material. /// - Parameters /// - plane: The plane to clip the mesh to /// - fill: The material to fill the sheared face(s) with. /// /// > Note: Specifying nil for the fill material will leave the sheared face unfilled. func clip(to plane: Plane, fill: Material? = nil) -> Mesh { guard !polygons.isEmpty else { return self } switch bounds.compare(with: plane) { case .front: return self case .back: return .empty case .spanning, .coplanar: var id = 0 var coplanar = [Polygon](), front = [Polygon](), back = [Polygon]() for polygon in polygons { polygon.split(along: plane, &coplanar, &front, &back, &id) } for polygon in coplanar where plane.normal.dot(polygon.plane.normal) > 0 { front.append(polygon) } let mesh = Mesh( unchecked: front, bounds: nil, isConvex: false, isWatertight: nil, submeshes: isKnownConvex ? submeshesIfEmpty : nil ) guard let material = fill else { return mesh } // Project each corner of mesh bounds onto plane to find radius var radius = 0.0 for corner in mesh.bounds.corners { let p = corner.project(onto: plane) radius = max(radius, p.lengthSquared) } radius = radius.squareRoot() // Create back face let rect = Polygon( unchecked: [ Vertex(unchecked: Vector(-radius, radius), .unitZ, .zero, nil), Vertex(unchecked: Vector(-radius, -radius), .unitZ, Vector(0, 1), nil), Vertex(unchecked: Vector(radius, -radius), .unitZ, Vector(1, 1), nil), Vertex(unchecked: Vector(radius, radius), .unitZ, Vector(1, 0), nil), ], normal: .unitZ, isConvex: true, sanitizeNormals: false, material: material ) .rotated(by: -rotationBetweenVectors(.unitZ, -plane.normal)) .translated(by: plane.normal * plane.w) // Clip rect return Mesh( unchecked: mesh.polygons + BSP(self) { false } .clip([rect], .lessThanEqual) { false }, bounds: nil, isConvex: isKnownConvex, isWatertight: watertightIfSet, submeshes: isKnownConvex ? submeshesIfEmpty : nil ) } } /// Computes a set of edges where the mesh intersects a plane. /// - Parameter plane: A ``Plane`` to test against the mesh. /// - Returns: A `Set` of ``LineSegment`` representing the polygon edges intersecting the plane. func edges(intersecting plane: Plane) -> Set { var edges = Set() for polygon in polygons { polygon.intersect(with: plane, edges: &edges) } return edges } } private func boundsTest( _ bounds: Bounds, _ polygons: [Polygon], _ out: inout [Polygon]? ) -> [Polygon] { polygons.filter { if $0.bounds.intersects(bounds) { return true } out?.append($0) return false } } private extension Mesh { // Merge all the meshes into a single mesh using fn static func merge( _ meshes: T, using fn: (Mesh, Mesh, CancellationHandler) -> Mesh, _ isCancelled: CancellationHandler ) -> Mesh where T.Element == Mesh { var meshes = Array(meshes) var i = 0 while i < meshes.count { _ = reduce(&meshes, at: i, using: fn, isCancelled) i += 1 } return .merge(meshes) } // Merge each intersecting mesh after i into the mesh at index i using fn static func reduce( _ meshes: T, using fn: (Mesh, Mesh, CancellationHandler) -> Mesh, _ isCancelled: CancellationHandler ) -> Mesh where T.Element == Mesh { var meshes = Array(meshes) return meshes.isEmpty ? .empty : reduce(&meshes, at: 0, using: fn, isCancelled) } static func reduce( _ meshes: inout [Mesh], at i: Int, using fn: (Mesh, Mesh, CancellationHandler) -> Mesh, _ isCancelled: CancellationHandler ) -> Mesh { var m = meshes[i] var j = i + 1 while j < meshes.count { let n = meshes[j] if m.bounds.intersects(n.bounds) { withoutActuallyEscaping(isCancelled) { isCancelled in m = fn(m, n, isCancelled) } meshes[i] = m meshes.remove(at: j) j = i } j += 1 } return m } } #if canImport(Dispatch) && !arch(wasm32) import Dispatch private func inParallel(_ op1: () -> Void, _ op2: () -> Void) { DispatchQueue.concurrentPerform(iterations: 2) { index in switch index { case 0: op1() default: op2() } } } #else private func inParallel(_ op1: () -> Void, _ op2: () -> Void) { op1() op2() } #endif ShapeScript-1.6.14/Euclid/Sources/Mesh+OBJ.swift000066400000000000000000000065601450355336000212530ustar00rootroot00000000000000// // Mesh+OBJ.swift // Euclid // // Created by Nick Lockwood on 21/08/2023. // Copyright © 2023 Nick Lockwood. All rights reserved. // import Foundation public extension Mesh { /// Return Wavefront OBJ string data for the mesh. func objString() -> String { var vertices = [Vertex](), indicesByVertex = [Vertex: Int]() var texcoords = [Vector](), indicesByTexcoord = [Vector: Int]() var normals = [Vector](), indicesByNormal = [Vector: Int]() let hasTexcoords = self.hasTexcoords, hasVertexNormals = self.hasVertexNormals let hasVertexColors = self.hasVertexColors let indices = polygons.tessellate().map { polygon -> [(Int, Int, Int)] in polygon.vertices.map { vertex -> (Int, Int, Int) in let texcoordIndex = hasTexcoords ? indicesByTexcoord[vertex.texcoord] ?? { let index = indicesByTexcoord.count + 1 indicesByTexcoord[vertex.texcoord] = index texcoords.append(vertex.texcoord) return index }() : 0 let normalIndex = hasVertexNormals ? indicesByNormal[vertex.normal] ?? { let index = indicesByNormal.count + 1 indicesByNormal[vertex.normal] = index normals.append(vertex.normal) return index }() : 0 let vertex = Vertex(vertex.position, nil, nil, vertex.color) let vertexIndex = indicesByVertex[vertex] ?? { let index = indicesByVertex.count + 1 indicesByVertex[vertex] = index vertices.append(vertex) return index }() return (vertexIndex, texcoordIndex, normalIndex) } } func vertexIndexString(_ vertex: (Int, Int, Int)) -> String { if hasTexcoords { if hasVertexNormals { return "\(vertex.0)/\(vertex.1)/\(vertex.2)" } return "\(vertex.0)/\(vertex.1)" } else if hasVertexNormals { return "\(vertex.0)//\(vertex.2)" } return "\(vertex.0)" } func vertexString(_ vertex: Vertex) -> String { "v \(vertex.position.objString)\(hasVertexColors ? " \(vertex.color.objString)" : "")" } func textcoordString(_ vector: Vector) -> String { "vt \(vector.x.objString) \(vector.y.objString)\(vector.z == 0 ? "" : " \(vector.z.objString)")" } return [ vertices.map(vertexString).joined(separator: "\n"), hasTexcoords ? texcoords.map(textcoordString).joined(separator: "\n") : nil, hasVertexNormals ? normals.map { "vn \($0.objString)" }.joined(separator: "\n") : nil, indices.map { "f \($0.map(vertexIndexString).joined(separator: " "))" }.joined(separator: "\n"), ].compactMap { $0 }.joined(separator: "\n\n") } } private extension Color { var objString: String { "\(r.objString) \(g.objString) \(b.objString)" } } private extension Vector { var objString: String { "\(x.objString) \(y.objString) \(z.objString)" } } private extension Double { var objString: String { let result = String(format: "%g", self) return result == "-0" ? "0" : result } } ShapeScript-1.6.14/Euclid/Sources/Mesh+STL.swift000066400000000000000000000066221450355336000213020ustar00rootroot00000000000000// // Mesh+STL.swift // Euclid // // Created by Nick Lockwood on 14/04/2023. // Copyright © 2023 Nick Lockwood. All rights reserved. // import Foundation public extension Mesh { /// Return ASCII STL string data for the mesh. func stlString(name: String) -> String { """ solid \(name) \(triangulate().polygons.map { $0.stlString }.joined(separator: "\n")) endsolid \(name) """ } /// A closure that maps a Euclid material to an STL facet color. /// - Parameter m: A Euclid material to convert, or `nil` for the default material. /// - Returns: A Euclid `Color` value. typealias STLColorProvider = (_ m: Material?) -> Color? /// Return binary STL data for the mesh. /// - Parameter colorLookup: A closure to map the polygon material to a SceneKit material. /// - Returns: A Euclid `Color` value. func stlData(colorLookup: STLColorProvider? = nil) -> Data { let headerSize = 80 let triangleSize = 50 let triangles = triangulate().polygons let bufferSize = headerSize + 4 + triangles.count * triangleSize let buffer = Buffer(capacity: bufferSize) buffer.count = headerSize buffer.append(UInt32(triangles.count)) let colorLookup = colorLookup ?? defaultColorMapping triangles.forEach { buffer.append($0, colorLookup: colorLookup) } return Data(buffer) } } private extension Polygon { var stlString: String { """ facet normal \(plane.normal.stlString) \touter loop \(vertices.map { "\t\tvertex \($0.position.stlString)" }.joined(separator: "\n")) \tendloop endfacet """ } } private extension Vector { var stlString: String { "\(x.stlString) \(y.stlString) \(z.stlString)" } } private extension Double { var stlString: String { let result = String(format: "%g", self) return result == "-0" ? "0" : result } } private extension Buffer { func append(_ vector: Vector) { append(Float(vector.x)) append(Float(vector.y)) append(Float(vector.z)) } func append(_ color: Color) { let red = UInt16(round(color.r * 31)) let green = UInt16(round(color.g * 31)) let blue = UInt16(round(color.b * 31)) append(0x8000 | red << 10 | green << 5 | blue) } func append(_ polygon: Polygon, colorLookup: Mesh.STLColorProvider) { append(polygon.plane.normal) polygon.vertices.forEach { append($0.position) } if let color = colorLookup(polygon.material) { append(color) } else { count += 2 } } } #if canImport(AppKit) import AppKit #endif #if canImport(UIKit) import UIKit #endif #if canImport(SceneKit) import SceneKit #endif private func defaultColorMapping(_ material: Polygon.Material?) -> Color? { if let color = material as? Color { return color } #if canImport(AppKit) || canImport(UIKit) if let cfType = material as? CFTypeRef, CFGetTypeID(cfType) == CGColor.typeID { return Color(material as! CGColor) } else if let color = material as? OSColor { return Color(color) } #endif #if canImport(SceneKit) if let scnMaterial = material as? SCNMaterial { return defaultColorMapping(scnMaterial.diffuse.contents as? AnyHashable) } #endif return nil } ShapeScript-1.6.14/Euclid/Sources/Mesh+Shapes.swift000066400000000000000000001425201450355336000220610ustar00rootroot00000000000000// // Mesh+Shapes.swift // Euclid // // Created by Nick Lockwood on 03/07/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // import Foundation // MARK: 3D shapes public extension Mesh { /// Alignment mode to use when extruding along a path. typealias Alignment = Path.Alignment /// The face generation policy for Euclid to use when creating a mesh. enum Faces { /// The default face generation behavior. Context-dependent. case `default` /// Generate front faces. case front /// Generate back faces. case back /// Generate both the front and back faces. case frontAndBack } /// The texture wrapping mode to use when generating a mesh. enum WrapMode { /// The default wrap behavior. Context-dependent. case `default` /// Texture is shrink-wrapped. case shrink /// Texture is tube-wrapped. case tube } /// Creates an axis-aligned cuboidal mesh. /// - Parameters: /// - center: The center point of the mesh. /// - size: The size of the cuboid mesh. /// - faces: The direction of the generated polygon faces. /// - material: The optional material for the mesh. static func cube( center: Vector = .zero, size: Vector, faces: Faces = .default, material: Material? = nil ) -> Mesh { let coordinates: [(indices: [Int], normal: Vector)] = [ ([5, 1, 3, 7], .unitX), ([0, 4, 6, 2], -.unitX), ([6, 7, 3, 2], .unitY), ([0, 1, 5, 4], -.unitY), ([4, 5, 7, 6], .unitZ), ([1, 0, 2, 3], -.unitZ), ] let polygons: [Polygon] = coordinates.map { indices, normal in Polygon( unchecked: indices.enumerated().map { index, i in let pos = center + Vector( i & 1 > 0 ? 0.5 : -0.5, i & 2 > 0 ? 0.5 : -0.5, i & 4 > 0 ? 0.5 : -0.5 ).scaled(by: size) let uv = Vector( (1 ... 2).contains(index) ? 1 : 0, (0 ... 1).contains(index) ? 1 : 0 ) return Vertex(unchecked: pos, normal, uv, nil) }, normal: normal, isConvex: true, sanitizeNormals: false, material: material ) } let halfSize = size / 2 let bounds = Bounds( min: center - halfSize, max: center + halfSize ) switch faces { case .front, .default: return Mesh( unchecked: polygons, bounds: bounds, isConvex: true, isWatertight: true, submeshes: [] ) case .back: return Mesh( unchecked: polygons.inverted(), bounds: bounds, isConvex: false, isWatertight: true, submeshes: [] ) case .frontAndBack: return Mesh( unchecked: polygons + polygons.inverted(), bounds: bounds, isConvex: false, isWatertight: true, submeshes: [] ) } } /// Creates an axis-aligned cubical mesh. /// - Parameters: /// - center: The center point of the mesh. /// - size: The size of the mesh. /// - faces: The direction of the generated polygon faces. /// - material: The optional material for the mesh. static func cube( center c: Vector = .zero, size s: Double = 1, faces: Faces = .default, material: Material? = nil ) -> Mesh { cube(center: c, size: Vector(s, s, s), faces: faces, material: material) } /// Creates a spherical mesh. /// - Parameters: /// - radius: The radius of the sphere. /// - slices: The number of vertical slices that make up the sphere. /// - stacks: The number of horizontal stacks that make up the sphere. /// - poleDetail: Optionally add extra detail around poles to prevent texture warping /// - faces: The direction the polygon faces. /// - wrapMode: The mode in which texture coordinates are wrapped around the mesh. /// - material: The optional material for the mesh. static func sphere( radius: Double = 0.5, slices: Int = 16, stacks: Int? = nil, poleDetail: Int = 0, faces: Faces = .default, wrapMode: WrapMode = .default, material: Material? = nil ) -> Mesh { let stacks = max(2, stacks ?? (slices / 2)) return lathe( unchecked: .arc(radius: radius, segments: stacks), slices: slices, poleDetail: poleDetail, faces: faces, wrapMode: wrapMode, material: material, isConvex: true, isWatertight: true ) } /// Creates a cylindrical mesh. /// - Parameters: /// - radius: The radius of the cylinder. /// - height: The height of the cylinder. /// - slices: The number of vertical slices that make up the cylinder. /// - poleDetail: Optionally add extra detail around poles to prevent texture warping. /// - faces: The direction of the generated polygon faces. /// - wrapMode: The mode in which texture coordinates are wrapped around the mesh. /// - material: The optional material for the mesh. static func cylinder( radius: Double = 0.5, height: Double = 1, slices: Int = 16, poleDetail: Int = 0, faces: Faces = .default, wrapMode: WrapMode = .default, material: Material? = nil ) -> Mesh { let radius = max(abs(radius), scaleLimit / 2) let height = max(abs(height), scaleLimit) let wrapMode = wrapMode == .default ? .tube : wrapMode return lathe( unchecked: Path(unchecked: [ .point(0, height / 2), .point(-radius, height / 2), .point(-radius, -height / 2), .point(0, -height / 2), ], plane: .xy, subpathIndices: []), slices: slices, poleDetail: poleDetail, addDetailForFlatPoles: true, faces: faces, wrapMode: wrapMode, material: material, isConvex: true, isWatertight: true ) } /// Creates a conical mesh. /// - Parameters: /// - radius: The radius of the cone. /// - height: The height of the cone. /// - slices: The number of vertical slices that make up the cone. /// - poleDetail: Optionally add extra detail around top pole to prevent texture warping. /// - addDetailAtBottomPole: Whether detail should be added at bottom pole. /// - faces: The direction of the generated polygon faces. /// - wrapMode: The mode in which texture coordinates are wrapped around the mesh. /// - material: The optional material for the mesh. /// /// > Note: The default `nil` value for poleDetail will derive value automatically. /// Use zero instead if you wish to add no extra detail at the poles. static func cone( radius: Double = 0.5, height: Double = 1, slices: Int = 16, poleDetail: Int? = nil, addDetailAtBottomPole: Bool = false, faces: Faces = .default, wrapMode: WrapMode = .default, material: Material? = nil ) -> Mesh { let radius = max(abs(radius), scaleLimit / 2) let height = max(abs(height), scaleLimit) return lathe( unchecked: Path(unchecked: [ .point(0, height / 2), .point(-radius, -height / 2), .point(0, -height / 2), ], plane: .xy, subpathIndices: []), slices: slices, poleDetail: poleDetail ?? 3, addDetailForFlatPoles: addDetailAtBottomPole, faces: faces, wrapMode: wrapMode == .default ? .tube : wrapMode, material: material, isConvex: true, isWatertight: true ) } /// Creates a rotationally symmetrical mesh by turning the specified path around the Y axis. /// /// * The profile path can be open or closed. Define a closed path by ending with /// the same point that you started with. /// /// * The path can be placed on either side of the `Y` axis, /// however the behavior is undefined for paths that cross the axis /// /// * Open paths that do not start and end on the `Y` axis will produce /// a shape with a hole in it /// /// - Parameters: /// - profile: The path to use as the profile for the mesh. /// - slices: The number of slices that make up the lathed mesh. /// - poleDetail: The number of segments used to make the pole. /// - addDetailForFlatPoles: A Boolean value that indicates whether to add detail to the poles. /// - faces: The direction of the generated polygon faces. /// - wrapMode: The mode in which texture coordinates are wrapped around the mesh. /// - material: The optional material for the mesh. static func lathe( _ profile: Path, slices: Int = 16, poleDetail: Int = 0, addDetailForFlatPoles: Bool = false, faces: Faces = .default, wrapMode: WrapMode = .default, material: Material? = nil ) -> Mesh { lathe( unchecked: profile, slices: slices, poleDetail: poleDetail, addDetailForFlatPoles: addDetailForFlatPoles, faces: faces, wrapMode: wrapMode, material: material, isConvex: false, // TODO: Can we work out if profile is convex? isWatertight: nil // TODO: Can we work this out? ) } /// Creates a mesh by extruding a path along its face normal. /// - Parameters: /// - shape: The path to extrude in order to create the mesh. /// - depth: The depth of the extrusion. /// - twist: Angular twist to apply along the extrusion. /// - sections: Number of sections to create along extrusion. /// - faces: The direction of the generated polygon faces. /// - material: The optional material for the mesh. static func extrude( _ shape: Path, depth: Double = 1, twist: Angle = .zero, sections: Int = 0, faces: Faces = .default, material: Material? = nil ) -> Mesh { let depth = abs(depth) if depth < scaleLimit { return fill(shape, faces: faces, material: material) } let faceNormal = shape.faceNormal let offset = faceNormal * depth let sections = max(1, sections) let step = offset / Double(sections) let rotation = Rotation(unchecked: faceNormal, angle: twist / Double(sections)) var shape = shape.translated(by: -offset / 2) var shapes = [shape] for _ in 0 ..< sections { shape.translate(by: step) shape.rotate(by: rotation) shapes.append(shape) } let polygon = Polygon(shape: shape) return loft( unchecked: shapes, faces: faces, material: material, verifiedCoplanar: true, isConvex: polygon?.isConvex == true, isWatertight: polygon.map { _ in true } // TODO: make less strict ) } /// Efficiently extrudes an array of paths along their respective face normals, avoiding duplicate work. /// - Parameters: /// - shapes: The array of paths to extrude in order to create the mesh. /// - depth: The depth of the extrusion. /// - twist: Angular twist to apply along the extrusion. /// - sections: Number of sections to create along extrusion. /// - faces: The direction of the generated polygon faces. /// - material: The optional material for the mesh. static func extrude( _ shapes: [Path], depth: Double = 1, twist: Angle = .zero, sections: Int = 0, faces: Faces = .default, material: Material? = nil, isCancelled: CancellationHandler = { false } ) -> Mesh { .union(build(shapes, using: { extrude( $0, depth: depth, twist: twist, sections: sections, faces: faces, material: material ) }, isCancelled: isCancelled), isCancelled: isCancelled) } /// Creates a mesh by extruding one path along another path. /// - Parameters: /// - shape: The shape to extrude into a mesh. /// - along: The path along which to extrude the shape. /// - twist: Angular twist to apply along the extrusion. /// - align: The alignment mode to use for the extruded shape. /// - faces: The direction of the generated polygon faces. /// - material: The optional material for the mesh. static func extrude( _ shape: Path, along: Path, twist: Angle = .zero, align: Alignment = .default, faces: Faces = .default, material: Material? = nil, isCancelled: CancellationHandler = { false } ) -> Mesh { let subpaths = along.subpaths guard subpaths.count == 1 else { return .merge(build(subpaths, using: { extrude( shape, along: $0, twist: twist, align: align, faces: faces, material: material ) }, isCancelled: isCancelled)) } return loft(shape.extrusionContours( along: along, twist: twist, align: align ), faces: faces, material: material) } /// Creates a mesh by connecting a series of 3D paths representing the cross sections. /// - Parameters: /// - shapes: The paths to connect. /// - faces: The direction of the generated polygon faces. /// - material: The optional material for the mesh. static func loft( _ shapes: [Path], faces: Faces = .default, material: Material? = nil ) -> Mesh { loft( unchecked: shapes, faces: faces, material: material, verifiedCoplanar: false, isConvex: false, isWatertight: nil ) } /// Creates a mesh by filling a path to form one or more polygons. /// - Parameters: /// - shape: The shape to be filled. /// - faces: The direction the polygon faces. /// - material: The optional material for the mesh. static func fill( _ shape: Path, faces: Faces = .default, material: Material? = nil ) -> Mesh { let subpaths = shape.subpaths if subpaths.count > 1 { return .xor(subpaths.map { .fill($0, faces: faces, material: material) }) } let polygons = shape.closed().facePolygons(material: material) switch faces { case .front: return Mesh( unchecked: polygons, bounds: nil, isConvex: false, isWatertight: false, submeshes: [] ) case .back: return Mesh( unchecked: polygons.inverted(), bounds: nil, isConvex: false, isWatertight: false, submeshes: [] ) case .frontAndBack, .default: return Mesh( unchecked: polygons + polygons.inverted(), bounds: nil, isConvex: polygons.count == 1 && polygons[0].isConvex, isWatertight: true, submeshes: [] ) } } /// Efficiently fills an array of paths, avoiding unecessary work if there are duplicates. /// - Parameters: /// - shapes: The array of paths to be filled. /// - faces: The direction the polygon faces. /// - material: The optional material for the mesh. static func fill( _ shapes: [Path], faces: Faces = .default, material: Material? = nil, isCancelled: CancellationHandler = { false } ) -> Mesh { .union(build(shapes, using: { fill($0, faces: faces, material: material) }, isCancelled: isCancelled), isCancelled: isCancelled) } /// Creates a mesh by stroking a path with the line width, detail, and material you provide. /// - Parameters: /// - shape: The path to stroke. /// - width: The line width of the stroke. /// - detail: The number of sides to use for the cross-sectional shape of the stroked mesh. /// - material: The optional material for the mesh. static func stroke( _ shape: Path, width: Double = 0.01, detail: Int = 2, material: Material? = nil, isCancelled: CancellationHandler = { false } ) -> Mesh { let path: Path let radius = width / 2 switch detail { case 1, 2: path = .line(Vector(-radius, 0), Vector(radius, 0)) case let sides: path = .circle(radius: radius, segments: sides) } let faces: Faces = detail == 2 ? .frontAndBack : .front return extrude( path, along: shape, faces: faces, material: material, isCancelled: isCancelled ) } /// Efficiently strokes an array of paths, avoiding duplicate work. /// - Parameters: /// - shapes: The paths to stroke. /// - width: The line width of the stroke. /// - detail: The number of sides to use for the cross-sectional shape of each stroked mesh. /// - material: The optional material for the mesh. static func stroke( _ shapes: [Path], width: Double = 0.01, detail: Int = 2, material: Material? = nil, isCancelled: CancellationHandler = { false } ) -> Mesh { .union(build(shapes, using: { stroke( $0, width: width, detail: detail, material: material, isCancelled: isCancelled ) }, isCancelled: isCancelled)) } /// Efficiently strokes a collection of line segments (useful for drawing wireframes). /// - Parameters: /// - lines: A collection of ``LineSegment`` to stroke. /// - width: The line width of the strokes. /// - detail: The number of sides to use for the cross-sectional shape of the stroked mesh. /// - material: The optional material for the mesh. static func stroke( _ lines: T, width: Double = 0.002, detail: Int = 3, material: Material? = nil ) -> Mesh where T.Element == LineSegment { let radius = width / 2 let detail = max(3, detail) let path = Path.circle(radius: radius, segments: detail) var bounds = Bounds.empty var polygons = [Polygon]() polygons.reserveCapacity(detail * lines.count) for line in lines { var shape = path let along = Path.line(line) if along.flatteningPlane == .xy { shape.rotate(by: .pitch(.halfPi)) } shape.rotate(by: rotationBetweenVectors(line.direction, shape.faceNormal)) let shape0 = shape.translated(by: line.start) bounds.formUnion(shape0.bounds) let shape1 = shape.translated(by: line.end) bounds.formUnion(shape1.bounds) loft( unchecked: shape0, shape1, curvestart: true, curveend: true, uvstart: 0, uvend: 1, verifiedCoplanar: true, material: material, into: &polygons ) } return Mesh( unchecked: polygons, bounds: bounds, isConvex: false, isWatertight: nil, submeshes: nil ) } /// Computes the convex hull of one or more meshes. /// - Parameter meshes: An array of meshes to compute the hull around. static func convexHull(of meshes: [Mesh]) -> Mesh { var best: Mesh? var bestIndex: Int? for (i, mesh) in meshes.enumerated() where mesh.isKnownConvex { if best?.polygons.count ?? 0 > mesh.polygons.count { continue } best = mesh bestIndex = i } let polygons = meshes.enumerated().flatMap { i, mesh in i == bestIndex ? [] : mesh.polygons } let bounds = Bounds(bounds: meshes.map { $0.bounds }) return .convexHull(of: polygons, with: best, bounds: bounds) } /// Computes the convex hull of a set of polygons. /// - Parameter polygons: An array of polygons to compute the hull around. static func convexHull(of polygons: [Polygon]) -> Mesh { convexHull(of: polygons, with: nil, bounds: nil) } /// Computes the convex hull of a set of paths. /// - Parameters /// - paths: A set of paths to compute the hull around. /// - material: An optional material to apply to the mesh. static func convexHull( of paths: T, material: Material? = nil ) -> Mesh where T.Element == Path { convexHull(of: paths.flatMap { $0.edgeVertices }, material: material) } /// Computes the convex hull of a set of path points. /// - Parameters /// - points: A set of path points to compute the hull around. /// - material: An optional material to apply to the mesh. /// /// > Note: The curvature of the point is currently ignored when calculating hull surface normals. static func convexHull( of points: T, material: Material? = nil ) -> Mesh where T.Element == PathPoint { convexHull(of: points.map(Vertex.init), material: material) } /// Computes the convex hull of a set of vertices. /// - Parameters /// - vertices: A set of vertices to compute the hull around. /// - material: An optional material to apply to the mesh. static func convexHull( of vertices: T, material: Material? = nil ) -> Mesh where T.Element == Vertex { var verticesByPosition = [Vector: [(faceNormal: Vector, Vertex)]]() for v in vertices { verticesByPosition[v.position, default: []].append((v.normal, v)) } return convexHull(of: verticesByPosition, material: material) } /// Computes the convex hull of a set of points. /// - Parameters /// - points: An set of points to compute the hull around. /// - material: An optional material to apply to the mesh. static func convexHull( of points: T, material: Material? = nil ) -> Mesh where T.Element == Vector { convexHull( of: Dictionary(points.map { ($0, []) }, uniquingKeysWith: { $1 }), material: material ) } /// Computes the convex hull of a set of line segments. /// - Parameters /// - edges: A set of line segments to compute the hull around. /// - material: An optional material to apply to the mesh. static func convexHull( of edges: T, material: Material? = nil ) -> Mesh where T.Element == LineSegment { convexHull(of: edges.flatMap { [$0.start, $0.end] }, material: material) } } private extension Mesh { static func convexHull( of polygonsToAdd: [Polygon], with startingMesh: Mesh?, bounds: Bounds? ) -> Mesh { assert(startingMesh?.isKnownConvex != false) var polygons = startingMesh?.polygons ?? [] var verticesByPosition = [Vector: [(faceNormal: Vector, Vertex)]]() for p in polygonsToAdd + polygons { for v in p.vertices { verticesByPosition[v.position, default: []].append((p.plane.normal, v)) } } var polygonsToAdd = polygonsToAdd if polygons.isEmpty, !polygonsToAdd.isEmpty { let p: Polygon if let index = polygonsToAdd.lastIndex(where: { $0.isConvex }) { p = polygonsToAdd.remove(at: index) } else { polygonsToAdd += polygonsToAdd.removeLast().tessellate() p = polygonsToAdd.removeLast() assert(p.isConvex) } polygons += [p, p.inverted()] } // Add remaining polygons for p in polygonsToAdd { for vertex in p.vertices { polygons.addPoint( vertex.position, material: p.material, verticesByPosition: verticesByPosition ) } } return Mesh( unchecked: polygons, bounds: bounds, isConvex: true, isWatertight: nil, submeshes: [] ) } static func convexHull( of verticesByPosition: [Vector: [(faceNormal: Vector, Vertex)]], material: Material? ) -> Mesh { var points = verticesByPosition.keys.sorted() var polygons = [Polygon]() // Form a starting triangle pair from 3 non-collinear points var i = 3 while i <= points.endIndex { let range = i - 3 ..< i if let triangle = Polygon( points: points[range], verticesByPosition: verticesByPosition, faceNormal: nil, material: material ), let inverse = Polygon( // Note: not the same as triangle.inverse() points: points[range].reversed(), verticesByPosition: verticesByPosition, faceNormal: nil, material: material ) { polygons += [triangle, inverse] points.removeSubrange(range) break } i += 1 } if polygons.isEmpty { return .empty } // Add remaining points for point in points { polygons.addPoint( point, material: material, verticesByPosition: verticesByPosition ) } return Mesh( unchecked: polygons, bounds: nil, isConvex: true, isWatertight: nil, submeshes: [] ) } static func lathe( unchecked profile: Path, slices: Int = 16, poleDetail: Int = 0, addDetailForFlatPoles: Bool = false, faces: Faces = .default, wrapMode: WrapMode = .default, material: Material? = nil, isConvex: Bool, isWatertight: Bool? ) -> Mesh { let subpaths = profile.subpaths if subpaths.count > 1 { return .xor(subpaths.map { .lathe( $0, slices: slices, poleDetail: poleDetail, addDetailForFlatPoles: addDetailForFlatPoles, faces: faces, wrapMode: wrapMode, material: material ) }) } // normalize profile let profile = profile.latheProfile if profile.points.count < 2 { return .empty } // min slices let slices = max(3, slices) // get profile vertices var vertices = profile.edgeVertices(for: wrapMode) // add more detail around poles automatically if poleDetail > 0 { func subdivide(_ times: Int, _ v0: Vertex, _ v1: Vertex) -> [Vertex] { guard times > 0 else { return [v0, v1] } let v0v1 = v0.lerp(v1, 0.5) return subdivide(times - 1, v0, v0v1) + [v0v1, v1] } func isVertical(_ normal: Vector) -> Bool { abs(normal.x) < epsilon && abs(normal.z) < epsilon } var i = 0 while i < vertices.count { let v0 = vertices[i] let v1 = vertices[i + 1] if abs(v0.position.x) < epsilon { if v1.position.x != 0, addDetailForFlatPoles || !isVertical(v0.normal) { let s = subdivide(poleDetail, v0, v1) vertices.replaceSubrange(i ... i + 1, with: s) i += s.count - 2 } } else if abs(v1.position.x) < 0, addDetailForFlatPoles || !isVertical(v1.normal) { let s = subdivide(poleDetail, v1, v0).reversed() vertices.replaceSubrange(i ... i + 1, with: s) i += s.count - 2 } i += 2 } } var polygons = [Polygon]() for i in 0 ..< slices { let t0 = Double(i) / Double(slices) let t1 = Double(i + 1) / Double(slices) let a0 = t0 * Angle.twoPi let a1 = t1 * Angle.twoPi let cos0 = cos(a0) let cos1 = cos(a1) let sin0 = sin(a0) let sin1 = sin(a1) for j in stride(from: 1, to: vertices.count, by: 2) { let v0 = vertices[j - 1], v1 = vertices[j] if abs(v0.position.x) < epsilon { if abs(v1.position.x) >= epsilon { // top triangle let v0 = Vertex( unchecked: v0.position, Vector(cos0 * v0.normal.x, v0.normal.y, sin0 * -v0.normal.x), Vector(v0.texcoord.x + (t0 + t1) / 2, v0.texcoord.y, 0), v0.color ) let v2 = Vertex( unchecked: Vector(cos0 * v1.position.x, v1.position.y, sin0 * -v1.position.x), Vector(cos0 * v1.normal.x, v1.normal.y, sin0 * -v1.normal.x), Vector(v1.texcoord.x + t0, v1.texcoord.y, 0), v1.color ) let v3 = Vertex( unchecked: Vector(cos1 * v1.position.x, v1.position.y, sin1 * -v1.position.x), Vector(cos1 * v1.normal.x, v1.normal.y, sin1 * -v1.normal.x), Vector(v1.texcoord.x + t1, v1.texcoord.y, 0), v1.color ) polygons.append(Polygon( unchecked: [v0, v2, v3], plane: nil, isConvex: true, sanitizeNormals: false, material: material )) } } else if abs(v1.position.x) < epsilon { // bottom triangle let v1 = Vertex( unchecked: v1.position, Vector(cos0 * v1.normal.x, v1.normal.y, sin0 * -v1.normal.x), Vector(v1.texcoord.x + (t0 + t1) / 2, v1.texcoord.y, 0), v1.color ) let v2 = Vertex( unchecked: Vector(cos1 * v0.position.x, v0.position.y, sin1 * -v0.position.x), Vector(cos1 * v0.normal.x, v0.normal.y, sin1 * -v0.normal.x), Vector(v0.texcoord.x + t1, v0.texcoord.y, 0), v0.color ) let v3 = Vertex( unchecked: Vector(cos0 * v0.position.x, v0.position.y, sin0 * -v0.position.x), Vector(cos0 * v0.normal.x, v0.normal.y, sin0 * -v0.normal.x), Vector(v0.texcoord.x + t0, v0.texcoord.y, 0), v0.color ) polygons.append(Polygon( unchecked: [v2, v3, v1], plane: nil, isConvex: true, sanitizeNormals: false, material: material )) } else { // quad face let v2 = Vertex( unchecked: Vector(cos1 * v0.position.x, v0.position.y, sin1 * -v0.position.x), Vector(cos1 * v0.normal.x, v0.normal.y, sin1 * -v0.normal.x), Vector(v0.texcoord.x + t1, v0.texcoord.y, 0), v0.color ) let v3 = Vertex( unchecked: Vector(cos0 * v0.position.x, v0.position.y, sin0 * -v0.position.x), Vector(cos0 * v0.normal.x, v0.normal.y, sin0 * -v0.normal.x), Vector(v0.texcoord.x + t0, v0.texcoord.y, 0), v0.color ) let v4 = Vertex( unchecked: Vector(cos0 * v1.position.x, v1.position.y, sin0 * -v1.position.x), Vector(cos0 * v1.normal.x, v1.normal.y, sin0 * -v1.normal.x), Vector(v1.texcoord.x + t0, v1.texcoord.y, 0), v1.color ) let v5 = Vertex( unchecked: Vector(cos1 * v1.position.x, v1.position.y, sin1 * -v1.position.x), Vector(cos1 * v1.normal.x, v1.normal.y, sin1 * -v1.normal.x), Vector(v1.texcoord.x + t1, v1.texcoord.y, 0), v1.color ) let vertices = [v2, v3, v4, v5] if !verticesAreDegenerate(vertices) { polygons.append(Polygon( unchecked: vertices, plane: nil, isConvex: true, sanitizeNormals: false, material: material )) } } } } let isSealed = (isWatertight == true) || ( isConvex && !pointsAreSelfIntersecting(profile.points.map { $0.position }) ) let isWatertight = isSealed ? true : isWatertight switch faces { case .default where isSealed, .front: return Mesh( unchecked: polygons, bounds: nil, // TODO: can we calculate this efficiently? isConvex: isConvex, isWatertight: isWatertight, submeshes: nil // TODO: Can we calculate this efficiently? ) case .back: return Mesh( unchecked: polygons.inverted(), bounds: nil, // TODO: can we calculate this efficiently? isConvex: false, isWatertight: isWatertight, submeshes: nil // TODO: Can we calculate this efficiently? ) case .frontAndBack: return Mesh( unchecked: polygons + polygons.inverted(), bounds: nil, // TODO: can we calculate this efficiently? isConvex: false, isWatertight: isWatertight, submeshes: nil // TODO: Can we calculate this efficiently? ) case .default: // seal loose ends // TODO: improve this by not adding backfaces inside closed subsectors if let first = vertices.first?.position, let last = vertices.last?.position, first != last, first.x != 0 || last.x != 0 { polygons += polygons.inverted() } return Mesh( unchecked: polygons, bounds: nil, // TODO: can we calculate this efficiently? isConvex: false, isWatertight: isWatertight, submeshes: nil // TODO: Can we calculate this efficiently? ) } } static func directionBetweenShapes(_ s0: Path, _ s1: Path) -> Vector { (s1.bounds.center - s0.bounds.center).normalized() } static func loft( unchecked shapes: [Path], faces: Faces = .default, material: Material?, verifiedCoplanar: Bool, isConvex: Bool, isWatertight: Bool? ) -> Mesh { var subpathCount = 0 let arrayOfSubpaths: [[Path]] = shapes.map { let subpaths = $0.subpaths subpathCount = max(subpathCount, subpaths.count) return subpaths } if subpathCount > 1 { var subshapes = Array(repeating: [Path](), count: subpathCount) for subpaths in arrayOfSubpaths { for (i, subpath) in subpaths.enumerated() { subshapes[i].append(subpath) } } return .xor(subshapes.map { .loft($0, faces: faces, material: material) }) } let shapes = shapes.filter { !$0.points.isEmpty } guard let first = shapes.first, let last = shapes.last else { return .empty } var count = 1 var prev = first for shape in shapes.dropFirst() where shape != prev { count += 1 prev = shape } let isClosed = (shapes.first == shapes.last) && shapes.allSatisfy { $0.isClosed } if count < 3, isClosed { return fill(first, faces: faces, material: material) } var polygons = [Polygon]() polygons.reserveCapacity(shapes.reduce(0) { $0 + $1.points.count }) var isCapped = true if !isClosed { let facePolygons = first.facePolygons(material: material) if facePolygons.isEmpty { isCapped = isCapped && first.isClosed && first.hasZeroArea } else if let next = shapes.first(where: { $0 != first }) { let p0p1 = directionBetweenShapes(first, next) polygons += facePolygons.map { p0p1.dot($0.plane.normal) > 0 ? $0.inverted() : $0 } } } var uvx0 = 0.0 let uvstep = Double(1) / Double(count - 1) prev = first var curvestart = true for (i, shape) in shapes.enumerated().dropFirst() { let uvx1 = uvx0 + uvstep if shape == prev { curvestart = false continue } var curveend = true if i < shapes.count - 1, shape == shapes[i + 1] { curveend = false } loft( unchecked: prev, shape, curvestart: curvestart, curveend: curveend, uvstart: uvx0, uvend: uvx1, verifiedCoplanar: verifiedCoplanar, material: material, into: &polygons ) prev = shape curvestart = true uvx0 = uvx1 } if !isClosed { let facePolygons = last.facePolygons(material: material) if facePolygons.isEmpty { isCapped = isCapped && last.isClosed && last.hasZeroArea } else if let prev = shapes.last(where: { $0 != last }) { let p0p1 = directionBetweenShapes(prev, last) polygons += facePolygons.map { p0p1.dot($0.plane.normal) < 0 ? $0.inverted() : $0 } } } let isWatertight = isWatertight ?? isCapped && shapes .dropFirst().dropLast().allSatisfy { $0.isClosed } switch faces { case .default where isWatertight, .front: return Mesh( unchecked: polygons, bounds: nil, // TODO: can we calculate this efficiently? isConvex: isConvex, isWatertight: isWatertight, submeshes: nil // TODO: Can we calculate this efficiently? ) case .back: return Mesh( unchecked: polygons.inverted(), bounds: nil, // TODO: can we calculate this efficiently? isConvex: false, isWatertight: isWatertight, submeshes: nil // TODO: Can we calculate this efficiently? ) case .frontAndBack, .default: return Mesh( unchecked: polygons + polygons.inverted(), bounds: nil, // TODO: can we calculate this efficiently? isConvex: false, isWatertight: isWatertight ? true : nil, submeshes: nil // TODO: Can we calculate this efficiently? ) } } static func loft( unchecked p0: Path, _ p1: Path, curvestart: Bool, curveend: Bool, uvstart: Double, uvend: Double, verifiedCoplanar: Bool, material: Material?, into polygons: inout [Polygon] ) { let n0 = p0.faceNormal, n1 = p1.faceNormal var direction = directionBetweenShapes(p0, p1) var invert = direction.dot(n0) <= 0 if invert { direction = -direction } var uvstart = uvstart, uvend = uvend var e0 = p0.edgeVertices, e1 = p1.edgeVertices var t0 = -p0.bounds.center, t1 = -p1.bounds.center var r = rotationBetweenVectors(n0, n1) func makePolygon(_ vertices: [Vertex]) -> Polygon { Polygon( unchecked: invert ? vertices.reversed() : vertices, plane: nil, isConvex: nil, sanitizeNormals: false, material: material ) } func addFace(_ a: Vertex, _ b: Vertex, _ c: Vertex, _ d: Vertex) { var vertices = [a, b, c, d] let n = faceNormalForPolygonPoints( vertices.map { $0.position }, convex: true, closed: true ) if !curvestart { var r = rotationBetweenVectors(n, n0) r = Rotation(unchecked: r.axis, angle: r.angle - .halfPi) vertices[0].normal.rotate(by: r) vertices[1].normal.rotate(by: r) } if !curveend { var r = rotationBetweenVectors(n, n1) r = Rotation(unchecked: r.axis, angle: r.angle - .halfPi) vertices[2].normal.rotate(by: r) vertices[3].normal.rotate(by: r) } vertices[0].texcoord = Vector(vertices[0].texcoord.y, uvstart) vertices[1].texcoord = Vector(vertices[1].texcoord.y, uvstart) vertices[2].texcoord = Vector(vertices[2].texcoord.y, uvend) vertices[3].texcoord = Vector(vertices[3].texcoord.y, uvend) if vertices[0].position == vertices[1].position { vertices.remove(at: 0) } else if vertices[2].position == vertices[3].position { vertices.remove(at: 3) } else { if vertices[0].position == vertices[3].position { vertices[0].normal = vertices[0].normal + vertices[3].normal // auto-normalized vertices.remove(at: 3) } if vertices[1].position == vertices[2].position { vertices[1].normal = vertices[1].normal + vertices[2].normal // auto-normalized vertices.remove(at: 2) } } let degenerate = verifiedCoplanar ? false : verticesAreDegenerate(vertices) assert(!verifiedCoplanar || !verticesAreDegenerate(vertices)) guard !degenerate else { // This is a hack to make the best of a bad edge case // TODO: find a better solution polygons += triangulateVertices( vertices, plane: nil, isConvex: nil, sanitizeNormals: false, material: material, id: 0 ) return } if vertices.count == 4 { let c = vertices[0], d = vertices[1], b = vertices[2], a = vertices[3] let bcd = makePolygon([b, c, d]) switch a.position.compare(with: bcd.plane) { case .coplanar, .spanning: polygons.append(makePolygon([c, d, b, a])) case .back: polygons += [makePolygon([c, b, a]), bcd] case .front: polygons += [makePolygon([c, d, a]), makePolygon([b, a, d])] } } else { polygons.append(makePolygon(vertices)) } } func nearestIndex(to a: Vector, in e: [Vertex]) -> Int { let a = a.translated(by: t1).rotated(by: r) let e = e.map { $0.with(position: $0.position.translated(by: t0)) } var closestIndex = 0 var best = Double.infinity for i in stride(from: 0, to: e.count, by: 2) { let b = e[i] let d = (b.position - a).length if d < best { closestIndex = i best = d } } return closestIndex } if verifiedCoplanar || e0.count == e1.count { for j in stride(from: 0, to: e0.count, by: 2) { addFace(e0[j], e0[j + 1], e1[j + 1], e1[j]) } return } // ensure e1 count > e0 if e0.count > e1.count { (t0, t1, r, invert) = (t1, t0, -r, !invert) (e0, e1, uvstart, uvend) = (e1, e0, uvend, uvstart) } // ensure points are have same orientation let fp0 = p0.flatteningPlane, fp1 = p1.flatteningPlane if flattenedPointsAreClockwise(e0.map { fp0.flattenPoint($0.position) }) != flattenedPointsAreClockwise(e1.map { fp1.flattenPoint($0.position) }) { e0.reverse() // TODO: fix mirrored texture coords } // map nearest e1 edges to e0 points var prev: Int? for i in stride(from: 0, to: e1.count, by: 2) { let a = e1[i], b = e1[i + 1] let ai = nearestIndex(to: a.position, in: e0) if let prev = prev { var ai = ai if ai == 0, prev == e0.count - 2 { ai += e0.count } if ai > prev { for j in stride(from: prev, to: ai, by: 2) { let c = e0[j % e0.count], d = e0[(j + 1) % e0.count] addFace(c, d, a, a) } } } let bi = nearestIndex(to: b.position, in: e0) let c = e0[ai] if ai == bi || (ai == e0.count - 1 && bi == 0) { addFace(c, c, b, a) prev = ai } else { assert((ai + 2) % e0.count == bi || ai + 1 == bi) let d = e0[(ai + 1) % e0.count] addFace(c, d, b, a) prev = ai + 2 } } } static func build( _ shapes: [Path], using fn: (Path) -> Mesh, isCancelled: CancellationHandler = { false } ) -> [Mesh] { var uniquePaths = [Path]() let indexesAndOffsets = shapes.map { path -> (Int, Vector) in let (p, offset) = path.withNormalizedPosition() if let index = uniquePaths.firstIndex(where: { p.isEqual(to: $0, withPrecision: epsilon) }) { return (index, offset) } uniquePaths.append(p) return (uniquePaths.count - 1, offset) } let meshes = batch(uniquePaths, stride: 1) { paths -> [Mesh] in paths.map { isCancelled() ? .empty : fn($0) } } return isCancelled() ? [] : indexesAndOffsets.map { index, offset in meshes[index].translated(by: offset) } } } ShapeScript-1.6.14/Euclid/Sources/Mesh.swift000066400000000000000000000431261450355336000206440ustar00rootroot00000000000000// // Mesh.swift // Euclid // // Created by Nick Lockwood on 03/07/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // /// A 3D surface made of polygons. /// /// A mesh surface can be convex or concave, and can have zero volume (for example, a flat shape such as a square) /// but shouldn't contain holes or exposed back-faces. /// /// The result of CSG operations on meshes that have holes or exposed back-faces is undefined. public struct Mesh: Hashable, Sendable { private let storage: Storage } extension Mesh: Codable { private enum CodingKeys: String, CodingKey { case polygons, bounds, isConvex = "convex", materials } /// Creates a new mesh by decoding from the given decoder. /// - Parameter decoder: The decoder to read data from. public init(from decoder: Decoder) throws { if let container = try? decoder.container(keyedBy: CodingKeys.self) { let boundsIfSet = try container.decodeIfPresent(Bounds.self, forKey: .bounds) let isConvex = try container.decodeIfPresent(Bool.self, forKey: .isConvex) ?? false let polygons: [Polygon] if let materials = try container.decodeIfPresent([CodableMaterial].self, forKey: .materials) { let polygonsByMaterial = try container.decode([[Polygon]].self, forKey: .polygons) polygons = zip(materials, polygonsByMaterial).flatMap { material, polygons in polygons.map { $0.with(material: material.value) } } } else { polygons = try container.decode([Polygon].self, forKey: .polygons) } self.init( unchecked: polygons, bounds: boundsIfSet, isConvex: isConvex, isWatertight: nil, submeshes: nil ) } else { let polygons = try [Polygon](from: decoder) self.init(polygons) } } /// Encodes this mesh into the given encoder. /// - Parameter encoder: The encoder to write data to. public func encode(to encoder: Encoder) throws { var container = encoder.container(keyedBy: CodingKeys.self) try container.encode(bounds, forKey: .bounds) try isKnownConvex ? container.encode(true, forKey: .isConvex) : () if materials == [nil] { try container.encode(polygons, forKey: .polygons) } else { try container.encode(materials.map { CodableMaterial($0) }, forKey: .materials) let polygonsByMaterial = self.polygonsByMaterial try container.encode(materials.map { material -> [Polygon] in polygonsByMaterial[material]!.map { $0.with(material: nil) } }, forKey: .polygons) } } } public extension Mesh { /// Material used by the mesh polygons. /// See ``Polygon/Material-swift.typealias`` for details. typealias Material = Polygon.Material /// An empty mesh. static let empty: Mesh = .init([]) /// All materials used by the mesh. /// The array may contain `nil` if some or all of the mesh uses the default material. var materials: [Material?] { storage.materials } /// The polygons that make up the mesh. var polygons: [Polygon] { storage.polygons } /// The distinct (disconnected) submeshes that make up the mesh. var submeshes: [Mesh] { storage.submeshes } /// The bounds of the mesh. var bounds: Bounds { storage.bounds } /// The polygons in the mesh, grouped by material. var polygonsByMaterial: [Material?: [Polygon]] { polygons.groupedByMaterial() } /// A Boolean value that indicates whether the mesh includes texture coordinates. var hasTexcoords: Bool { polygons.hasTexcoords } /// A Boolean value that indicates whether the mesh includes vertex normals that differ from the face normal. var hasVertexNormals: Bool { polygons.hasVertexNormals } /// A Boolean value that indicates whether the mesh includes vertex colors. var hasVertexColors: Bool { polygons.hasVertexColors } /// The unique polygon edges in the mesh. /// The direction of each edge is normalized relative to the origin to simplify edge-equality comparisons. var uniqueEdges: Set { polygons.uniqueEdges } /// A Boolean value that indicates whether the mesh is watertight, meaning that every edge is /// attached to two polygons (or a multiple of two). /// /// > Note: A value of `true` doesn't guarantee that mesh is not self-intersecting or inside-out. var isWatertight: Bool { storage.isWatertight } /// Creates a new mesh from an array of polygons. /// - Parameter polygons: The polygons making up the mesh. init(_ polygons: [Polygon]) { self.init( unchecked: polygons, bounds: nil, isConvex: false, isWatertight: nil, submeshes: nil ) } /// Creates a composite mesh from an array of submeshes. /// - Parameter submeshes: An array of meshes. init(submeshes: [Mesh]) { self = .merge(submeshes) } /// Replaces an existing material with the specified new one. /// - Parameters: /// - old: The ``Material`` to be replaced. /// - new: The ``Material`` to use instead. /// - Returns: a new ``Mesh`` with the material replaced. func replacing(_ old: Material?, with new: Material?) -> Mesh { Mesh( unchecked: polygons.map { $0.material == old ? $0.with(material: new) : $0 }, bounds: boundsIfSet, isConvex: isKnownConvex, isWatertight: watertightIfSet, submeshes: submeshesIfEmpty ) } /// Merges the polygons from two meshes. /// - Parameter mesh: The mesh to merge with this one. /// - Returns: A new mesh that includes all polygons from both meshes. /// /// > Note: No attempt is made to deduplicate or join meshes. Polygons are neither split nor removed. func merge(_ mesh: Mesh) -> Mesh { var boundsIfSet: Bounds? if let ab = self.boundsIfSet, let bb = mesh.boundsIfSet { boundsIfSet = ab.union(bb) } return Mesh( unchecked: polygons + mesh.polygons, bounds: boundsIfSet, isConvex: false, isWatertight: nil, submeshes: nil // TODO: can we preserve this? ) } /// Creates a new mesh that is the combination of the polygons from all the specified meshes. /// - Parameter meshes: The meshes to merge. /// - Returns: A new mesh that includes all polygons from all meshes. /// /// > Note: No attempt is made to deduplicate or join meshes. Polygons are neither split nor removed. static func merge(_ meshes: T) -> Mesh where T.Element == Mesh { if meshes.count <= 1 { return meshes.first ?? .empty } var allBoundsSet = true var polygons = [Polygon]() polygons.reserveCapacity(meshes.reduce(0) { $0 + $1.polygons.count }) for mesh in meshes { allBoundsSet = allBoundsSet && mesh.boundsIfSet != nil polygons += mesh.polygons } return Mesh( unchecked: polygons, bounds: allBoundsSet ? Bounds(bounds: meshes.map { $0.bounds }) : nil, isConvex: false, isWatertight: nil, submeshes: nil // TODO: can we preserve this? ) } /// Flips the face direction and vertex normals of all polygons within the mesh. /// - Returns: The inverted mesh. func inverted() -> Mesh { Mesh( unchecked: polygons.inverted(), bounds: boundsIfSet, isConvex: false, isWatertight: watertightIfSet, submeshes: submeshesIfEmpty ) } /// Splits all polygons in the mesh that are concave or have more than the specified number of /// sides into two or more convex polygons. /// - Parameter maxSides: The maximum number of sides each polygon may have. /// - Returns: A new mesh containing the convex polygons. func tessellate(maxSides: Int = .max) -> Mesh { Mesh( unchecked: polygons.tessellate(maxSides: maxSides), bounds: boundsIfSet, isConvex: isKnownConvex, isWatertight: nil, // TODO: fix triangulate() then see if this is fixed submeshes: submeshesIfEmpty ) } /// Splits all polygons in the mesh into triangles. /// - Returns: A new mesh containing the triangles. func triangulate() -> Mesh { Mesh( unchecked: polygons.triangulate(), bounds: boundsIfSet, isConvex: isKnownConvex, isWatertight: watertightIfSet, submeshes: submeshesIfEmpty ) } /// Merges any coplanar polygons that share one or more edges. /// - Returns: A new mesh containing the merged (possibly non-convex) polygons. func detessellate() -> Mesh { Mesh( unchecked: polygons.sortedByPlane().detessellate(), bounds: boundsIfSet, isConvex: isKnownConvex, isWatertight: nil, // TODO: can this be done without introducing holes? submeshes: submeshesIfEmpty ) } /// Merges coplanar polygons that share one or more edges, provided the result will be convex. /// - Returns: A new mesh containing the merged polygons. func detriangulate() -> Mesh { Mesh( unchecked: polygons.sortedByPlane().detessellate(ensureConvex: true), bounds: boundsIfSet, isConvex: isKnownConvex, isWatertight: nil, // TODO: can this be done without introducing holes? submeshes: submeshesIfEmpty ) } /// Removes hairline cracks by inserting additional vertices without altering the shape. /// - Returns: A new mesh with new vertices inserted if needed. /// /// > Note: This method is not always successful. Check ``Mesh/isWatertight`` after to verify. func makeWatertight() -> Mesh { if watertightIfSet == true { return self } var holeEdges = polygons.holeEdges, polygons = self.polygons var precision = epsilon while !holeEdges.isEmpty { let merged = polygons .insertingEdgeVertices(with: holeEdges) .mergingVertices(withPrecision: precision) let newEdges = merged.holeEdges if newEdges.count >= holeEdges.count { // No improvement break } polygons = merged holeEdges = newEdges precision *= 10 } return Mesh( unchecked: polygons, bounds: boundsIfSet, isConvex: false, // TODO: can makeWatertight make this false? isWatertight: holeEdges.isEmpty, submeshes: submeshesIfEmpty ) } /// Smooth vertex normals for corners with angles greater than the specified threshold. /// - Parameter threshold: The minimum edge angle that should appear smooth. /// Values should be in the range zero (no smoothing) to pi (smooth all edges). func smoothNormals(_ threshold: Angle) -> Mesh { Mesh( unchecked: polygons.smoothNormals(threshold), bounds: boundsIfSet, isConvex: isKnownConvex, isWatertight: watertightIfSet, submeshes: submeshesIfEmpty ) } /// Return a copy of the mesh without texture coordinates func withoutTexcoords() -> Mesh { Mesh( unchecked: polygons.withoutTexcoords(), bounds: boundsIfSet, isConvex: isKnownConvex, isWatertight: watertightIfSet, submeshes: submeshesIfEmpty ) } /// Returns a Boolean value that indicates if the specified point is inside the mesh. /// - Parameter point: The point to compare. /// - Returns: `true` if the point lies inside the mesh, and `false` otherwise. func containsPoint(_ point: Vector) -> Bool { if !bounds.containsPoint(point) { return false } guard isKnownConvex else { return BSP(self) { false }.containsPoint(point) } for polygon in polygons { switch point.compare(with: polygon.plane) { case .coplanar, .spanning: return polygon.containsPoint(point) case .front: return false case .back: break } } return true } } extension Mesh { init( unchecked polygons: [Polygon], bounds: Bounds?, isConvex: Bool, isWatertight: Bool?, submeshes: [Mesh]? ) { self.storage = polygons.isEmpty ? .empty : Storage( polygons: polygons, bounds: bounds, isConvex: isConvex, isWatertight: isWatertight, submeshes: submeshes ) } var boundsIfSet: Bounds? { storage.boundsIfSet } var watertightIfSet: Bool? { storage.watertightIfSet } var isKnownConvex: Bool { storage.isConvex } // Note: we don't expose submeshesIfSet because it's unsafe to reuse var submeshesIfEmpty: [Mesh]? { storage.submeshesIfSet.flatMap { $0.isEmpty ? [] : nil } } } private extension Mesh { final class Storage: Hashable { let polygons: [Polygon] let isConvex: Bool static let empty = Storage( polygons: [], bounds: .empty, isConvex: true, isWatertight: true, submeshes: [] ) private(set) var materialsIfSet: [Material?]? var materials: [Material?] { if materialsIfSet == nil { var materials = [Material?]() for polygon in polygons { let material = polygon.material if !materials.contains(material) { materials.append(material) } } materialsIfSet = materials } return materialsIfSet! } private(set) var boundsIfSet: Bounds? var bounds: Bounds { if boundsIfSet == nil { boundsIfSet = Bounds(polygons: polygons) } return boundsIfSet! } private(set) var watertightIfSet: Bool? var isWatertight: Bool { if watertightIfSet == nil { watertightIfSet = polygons.areWatertight } return watertightIfSet! } private(set) var submeshesIfSet: [Mesh]? var submeshes: [Mesh] { if submeshesIfSet == nil { let groups = isConvex ? [] : polygons.groupedBySubmesh() submeshesIfSet = groups.count <= 1 ? [] : groups.map(Mesh.init) } return submeshesIfSet.map { $0.isEmpty ? [Mesh(storage: self)] : $0 } ?? [] } static func == (lhs: Storage, rhs: Storage) -> Bool { lhs === rhs || lhs.polygons == rhs.polygons } func hash(into hasher: inout Hasher) { hasher.combine(polygons) } init( polygons: [Polygon], bounds: Bounds?, isConvex: Bool, isWatertight: Bool?, submeshes: [Mesh]? ) { assert(isWatertight == nil || isWatertight == polygons.areWatertight) assert(!isConvex || polygons.groupedBySubmesh().count <= 1) let submeshes: [Mesh]? = submeshes.map { submeshes -> [Mesh] in guard submeshes.count > 1 else { return [] } return submeshes.flatMap { mesh -> [Mesh] in switch mesh.submeshes.count { case 0, 1: return [mesh] default: return mesh.submeshes } } } assert(!isConvex || submeshes?.count ?? 0 <= 1) self.polygons = polygons self.boundsIfSet = polygons.isEmpty ? .empty : bounds self.isConvex = isConvex || polygons.isEmpty self.watertightIfSet = polygons.isEmpty ? true : isWatertight self.submeshesIfSet = submeshes ?? (isConvex ? [] : nil) } } } #if !swift(<5.7) extension Mesh.Storage: @unchecked Sendable {} #endif ShapeScript-1.6.14/Euclid/Sources/Path+Shapes.swift000066400000000000000000000560051450355336000220630ustar00rootroot00000000000000// // Path+Shapes.swift // Euclid // // Created by Nick Lockwood on 03/01/2022. // Copyright © 2018 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // import Foundation public extension Path { /// Creates a linear path from a line segment. /// - Parameters: /// - line: The ``LineSegment`` defining the path. /// - color: An optional ``Color`` to apply to the path's points. static func line(_ line: LineSegment, color: Color? = nil) -> Path { .line(line.start, line.end, color: color) } /// Creates a linear path from a start and end point. /// - Parameters: /// - start: The starting point of the line. /// - end: The ending point of the line. /// - color: An optional ``Color`` to apply to the path's points. static func line(_ start: Vector, _ end: Vector, color: Color? = nil) -> Path { Path([.point(start, color: color), .point(end, color: color)]) } /// Creates a circular arc. /// - Parameters: /// - angle: The angular span of the arc, measured clockwise from vertical. Defaults to `pi` (180 degrees). /// - radius: The distance from the center of the arc to each point used to approximate its shape. /// - segments: The number of line segments used to approximate the circle. /// - color: An optional ``Color`` to apply to the path's points. /// /// > Note: Because the arc is approximated using line segments, its radius is not uniform. The radius /// specified is the *outer* radius, i.e. the radius at the end points. static func arc( angle: Angle = .pi, radius: Double = 0.5, segments: Int? = nil, color: Color? = nil ) -> Path { var points = [PathPoint]() let angle = max(-.twoPi, min(.twoPi, angle)) let span = angle.radians / (2 * .pi) let segments = segments.map { switch abs(span) { case 0 ... 0.25: return max(1, $0) case 0.25 ... 0.5: return max(2, $0) default: return max(3, $0) } } ?? Int(ceil(abs(span) * 16)) let radius = max(abs(radius), scaleLimit / 2) for i in 0 ... segments { let a = Double(i) / Double(segments) * angle points.append(.curve(sin(a) * radius, cos(a) * radius, color: color)) } return Path(unchecked: points, plane: .xy, subpathIndices: []) } /// Creates a closed circular path. /// - Parameters: /// - radius: The distance from the center of the circle to each point used to approximate its shape. /// - segments: The number of line segments used to approximate the circle. /// - color: An optional ``Color`` to apply to the path's points. /// /// > Note: Because the circle is approximated using line segments, its radius is not uniform. The radius /// specified is the *outer* radius, i.e. the radius at the corners of the polygon. static func circle( radius: Double = 0.5, segments: Int = 16, color: Color? = nil ) -> Path { let d = radius * 2 return ellipse(width: d, height: d, segments: segments, color: color) } /// Creates a closed elliptical path. /// - Parameters: /// - width: The horizontal diameter of the ellipse. /// - height: The vertical diameter of the ellipse. /// - segments: The number of line segments used to approximate the ellipse. /// - color: An optional ``Color`` to apply to the path's points. static func ellipse( width: Double, height: Double, segments: Int = 16, color: Color? = nil ) -> Path { let segments = max(3, segments) let step = 2 / Double(segments) * .pi let to = 2 * .pi + epsilon let w = max(abs(width / 2), scaleLimit / 2) let h = max(abs(height / 2), scaleLimit / 2) return Path(unchecked: stride(from: 0, through: to, by: step).map { .curve(w * -sin($0), h * cos($0), color: color) }, plane: .xy, subpathIndices: []) } /// Creates a closed regular polygon. /// - Parameters: /// - radius: The distance from the center of the polygon to each point. /// - sides: The number of sides on the polygon. /// - color: An optional ``Color`` to apply to the path's points. static func polygon( radius: Double = 0.5, sides: Int, color: Color? = nil ) -> Path { let circle = self.circle(radius: radius, segments: sides) return Path(unchecked: circle.points.map { .point($0.position, color: color) }, plane: .xy, subpathIndices: []) } /// Creates a closed square path. /// - Parameters: /// - size: The width and height of the square. /// - color: An optional ``Color`` to apply to the path's points. static func square(size: Double = 1, color: Color? = nil) -> Path { rectangle(width: size, height: size, color: color) } /// Creates a closed rectangular path. /// - Parameters: /// - width: The width of the rectangle. /// - height: The height of the rectangle. /// - color: An optional ``Color`` to apply to the path's points. static func rectangle( width: Double, height: Double, color: Color? = nil ) -> Path { let w = abs(width / 2), h = abs(height / 2) if height < epsilon { return .line(Vector(-w, 0), Vector(w, 0)) } else if width < epsilon { return .line(Vector(0, -h), Vector(0, h)) } return Path(unchecked: [ .point(-w, h, color: color), .point(-w, -h, color: color), .point(w, -h, color: color), .point(w, h, color: color), .point(-w, h, color: color), ], plane: .xy, subpathIndices: []) } /// Creates a rounded rectangle path. /// - Parameters: /// - width: The width of the rectangle. /// - height: The height of the rectangle. /// - radius: The corner radius, /// - detail: The number of line segments used to approximate each corner curve. /// - color: An optional ``Color`` to apply to the path's points. static func roundedRectangle( width: Double, height: Double, radius: Double, detail: Int = 4, color: Color? = nil ) -> Path { guard radius > scaleLimit / 2, width > scaleLimit, height > scaleLimit else { return .rectangle(width: width, height: height, color: color) } let w = abs(width / 2), h = abs(height / 2) guard detail > 0 else { return Path(unchecked: [ .curve(-w, h, color: color), .curve(-w, -h, color: color), .curve(w, -h, color: color), .curve(w, h, color: color), .curve(-w, h, color: color), ], plane: .xy, subpathIndices: []) } let r = min(radius, w, h) var points = [PathPoint]() let step = Double.pi / Double(detail * 2) let toX = Double.pi / 2 + (r < w ? epsilon : -epsilon) let toY = Double.pi / 2 + (r < h ? epsilon : -epsilon) var x = r - w, y = r - h for a in stride(from: 0, through: toX, by: step) { points.append(.curve(x - r * cos(a), y - r * sin(a), color: color)) } x = w - r for a in stride(from: 0, through: toY, by: step) { points.append(.curve(x + r * sin(a), y - r * cos(a), color: color)) } y = h - r for a in stride(from: 0, through: toX, by: step) { points.append(.curve(x + r * cos(a), y + r * sin(a), color: color)) } x = r - w for a in stride(from: 0, through: toY, by: step) { points.append(.curve(x - r * sin(a), y + r * cos(a), color: color)) } points.append(points[0]) return Path(unchecked: points, plane: .xy, subpathIndices: []) } /// Creates a quadratic bezier spline. /// /// The method takes an array of ``PathPoint`` and a `detail` argument. /// Normally, the ``PathPoint/isCurved`` property is used to calculate surface normals /// (for lighting purposes), but with the ``Path/curve(_:detail:)`` method it actually affects /// the shape of the ``Path``. /// /// A sequence of regular (non-curved) ``PathPoint``s creates sharp corners in the ``Path`` as /// normal, but curved points are treated as off-curve Bezier control points. /// /// The method uses second-order (quadratic) Bezier curves, where each curve has two on-curve end /// points and a single off-curve control point. If two curved ``PathPoint`` are used in sequence /// then an on-curve point is interpolated between them. It is therefore possible to create curves /// entirely out of curved (off-curve) control points. /// /// This approach to curve generation is based on the popular [TrueType (TTF) font system]( /// https://developer.apple.com/fonts/TrueType-Reference-Manual/RM01/Chap1.html /// ), and provides a good balance between simplicity and flexibility. /// /// For more complex curves, on macOS and iOS you can create Euclid ``Path`` from a `CGPath` /// by using the `CGPath.paths()` extension method. `CGPath` supports cubic bezier curves as /// well as quadratic, and has convenience constructors for rounded rectangles and other shapes. /// /// - Parameters: /// - points: The control points for the curve. /// - detail: The number of line segments used to approximate curved sections. static func curve(_ points: [PathPoint], detail: Int = 4) -> Path { enum ArcRange { case lhs, rhs, all } func arc( _ p0: PathPoint, _ p1: PathPoint, _ p2: PathPoint, _ detail: Int, _ range: ArcRange = .all ) -> [PathPoint] { let detail = detail + 1 assert(detail >= 2) let steps: [Double] switch range { case .all: // excludes start and end points steps = (1 ..< detail).map { Double($0) / Double(detail) } case .lhs: // includes start and end point let range = 0 ..< Int(ceil(Double(detail) / 2)) steps = range.map { Double($0) / Double(detail) } + [0.5] case .rhs: // excludes end point let range = detail / 2 + 1 ..< detail steps = [0.5] + range.map { Double($0) / Double(detail) } } return steps.map { var texcoord: Vector? if let t0 = p0.texcoord, let t1 = p1.texcoord, let t2 = p2.texcoord { texcoord = Vector( quadraticBezier(t0.x, t1.x, t2.x, $0), quadraticBezier(t0.y, t1.y, t2.y, $0), quadraticBezier(t0.z, t1.z, t2.z, $0) ) } var color: Color? if p0.color != nil || p1.color != nil || p2.color != nil { color = [ p0.color ?? .white, p1.color ?? .white, p2.color ?? .white, ].lerp($0) } return .curve(Vector( quadraticBezier(p0.position.x, p1.position.x, p2.position.x, $0), quadraticBezier(p0.position.y, p1.position.y, p2.position.y, $0), quadraticBezier(p0.position.z, p1.position.z, p2.position.z, $0) ), texcoord: texcoord, color: color) } } if points.count == 1 { return Path(unchecked: points, plane: nil, subpathIndices: nil) } let points = sanitizePoints(points) guard detail > 0, !points.isEmpty else { return Path(unchecked: points, plane: nil, subpathIndices: nil) } var result = [PathPoint]() let isClosed = pointsAreClosed(unchecked: points) let count = points.count let start = isClosed ? 0 : 1 let end = count - 1 var p0 = isClosed ? points[count - 2] : points[0] var p1 = isClosed ? points[0] : points[1] if !isClosed { if p0.isCurved, count >= 3 { let pe = extrapolate(points[2], p1, p0) if p1.isCurved { result += arc(pe.lerp(p0, 0.5), p0, p0.lerp(p1, 0.5), detail, .rhs) } else { result += arc(pe, p0, p1, detail, .rhs) } } else { result.append(p0) } } for i in start ..< end { let p2 = points[(i + 1) % count] switch (p0.isCurved, p1.isCurved, p2.isCurved) { case (false, true, false): result += arc(p0, p1, p2, detail + 1) case (true, true, true): let p0p1 = p0.lerp(p1, 0.5) result.append(p0p1) result += arc(p0p1, p1, p1.lerp(p2, 0.5), detail) case (true, true, false): let p0p1 = p0.lerp(p1, 0.5) result.append(p0p1) result += arc(p0p1, p1, p2, detail) case (false, true, true): result += arc(p0, p1, p1.lerp(p2, 0.5), detail) case (_, false, _): result.append(p1) } p0 = p1 p1 = p2 } if !isClosed { let p2 = points.last! if p2.isCurved, count >= 3 { p1 = p0 let pe = extrapolate(points[count - 3], p1, p2) if p1.isCurved { result += arc(p1.lerp(p2, 0.5), p2, p2.lerp(pe, 0.5), detail, .lhs) } else { result += arc(p1, p2, pe, detail, .lhs).dropFirst() } } else { result.append(p2) } } else { result.append(result[0]) } let path = Path(unchecked: result, plane: nil, subpathIndices: nil) assert(path.isClosed == isClosed) return path } /// Alignment mode to use when extruding along a path. enum Alignment { /// Use default alignment heuristic for the given path. case `default` /// Align extruded cross-sections to the tangent of the path curve. case tangent /// Align extruded cross-sections with the X, Y or Z axis /// (whichever is most perpendicular to the extrusion path). case axis } /// Cropped and flattened version of path suitable for lathing around the Y axis. var latheProfile: Path { guard subpathIndices.isEmpty else { return Path(subpaths: subpaths.map { $0.latheProfile }) } let profile = flattened().clippedToYAxis() if profile.faceNormal.z < 0 { return Path( unchecked: profile.points.reversed(), plane: profile.plane?.inverted(), subpathIndices: [] ) } return profile } /// Creates an array of contours by extruding one path along another path. /// - Parameters: /// - along: The path along which to extrude the shape. /// - twist: Angular twist to apply along the extrusion. /// - align: The alignment mode to use for the extruded shape. func extrusionContours( along: Path, twist: Angle = .zero, align: Alignment = .default ) -> [Path] { let points = along.points guard var p0 = points.first else { return [] } let count = points.count guard count > 1 else { return [translated(by: p0.position)] } // Get initial shape orientation var shape = self var shapeNormal, upVector: Vector let pathPlane = along.flatteningPlane switch (shape.flatteningPlane, pathPlane) { case (.xy, .xy): shape.rotate(by: .pitch(.halfPi)) shapeNormal = .unitY upVector = -.unitZ case (.yz, .yz): shape.rotate(by: .roll(.halfPi)) shapeNormal = -.unitY upVector = .unitX case (.xz, .xz): shape.rotate(by: .roll(.halfPi)) shapeNormal = .unitX upVector = .unitZ case (.xy, _): shapeNormal = .unitZ upVector = .unitY case (.yz, _): shapeNormal = .unitX upVector = .unitY case (.xz, _): shapeNormal = .unitY upVector = .unitZ } // Get alignment mode let axisAligned: Bool switch align { case .axis: axisAligned = true case .tangent: axisAligned = false case .default: var aligned = true var p0 = points[0] for p1 in points.dropFirst() { let v = p1.position - p0.position let l = v.project(onto: pathPlane.rawValue).length if l < v.length * 0.9 { aligned = false break } p0 = p1 } axisAligned = aligned } func rotateShape(by rotation: Rotation) { shape.rotate(by: rotation) shapeNormal.rotate(by: rotation) upVector.rotate(by: rotation) } // Prepare initial shape let length = along.length var shapes = [Path]() var p1 = points[1] var p0p1 = (p1.position - p0.position) if align == .axis { p0p1 = p0p1.project(onto: pathPlane.rawValue) } rotateShape(by: rotationBetweenVectors(p0p1, shapeNormal)) if align != .axis, axisAligned { p0p1 = p0p1.project(onto: pathPlane.rawValue) } func rotationBetween(_ a: Path?, _ b: Path, checkSign: Bool = true) -> Rotation { guard let a = a else { return .identity } let r = rotationBetweenVectors(a.faceNormal, b.faceNormal) let b = b.rotated(by: -r) let points0 = a.points, points1 = b.points let delta = (points0[1].position - points0[0].position) .angle(with: points1[1].position - points1[0].position) let rotation = Rotation(unchecked: b.faceNormal, angle: delta) if checkSign, rotationBetween( a, b.rotated(by: rotation), checkSign: false ).angle > delta { // TODO: this is pretty weird - find better solution return Rotation(unchecked: b.faceNormal, angle: -delta) } return rotation } func addShape(_ p: PathPoint, _ scale: Double?) { var shape = shape if let color = p.color { shape = shape.with(color: color) } if let scale = scale, let line = Line(origin: .zero, direction: upVector) { shape.stretch(by: scale, along: line) } shape.translate(by: p.position) shapes.append(shape) } func twistShape(_ p1p2: Vector) { if !twist.isZero { let angle = twist * (p1p2.length / length) rotateShape(by: Rotation(unchecked: shapeNormal, angle: angle)) } } func addShape(_ p2: PathPoint) { var p1p2 = (p2.position - p1.position) if axisAligned { p1p2 = p1p2.project(onto: pathPlane.rawValue) } let r = rotationBetweenVectors(p1p2, p0p1) / 2 rotateShape(by: r) twistShape(p1p2) upVector = (p1p2.normalized() + p0p1.normalized()).normalized().cross(r.axis) addShape(p1, 1 / cos(r.angle)) rotateShape(by: r) p0 = p1 p1 = p2 p0p1 = p1p2 } if along.isClosed { for i in 1 ..< count { addShape(points[(i < count - 1) ? i + 1 : 1]) } addShape(points[2]) shape = shapes.last! shapes[shapes.count - 1] = shapes[0] } else { addShape(p0, nil) for point in points.dropFirst(2) { addShape(point) } let last2 = points.suffix(2).map { $0.position } twistShape(last2[1] - last2[0]) addShape(points.last!, nil) shape = shapes.last! } // Fix up angles let r = rotationBetween(shapes[0], shape) if along.isClosed, !r.isIdentity { let delta = r.axis.dot(shapes[0].faceNormal) > 0 ? r.angle : -r.angle var distance = 0.0 var prev = along.points[0].position let endIndex = count - (along.isClosed ? 1 : 0) for i in 1 ..< endIndex { let position = along.points[i].position distance += (position - prev).length prev = position var shape = shapes[i] let offset = shape.bounds.center shape.translate(by: -offset) let angle = delta * (distance / length) shape.rotate(by: .init(unchecked: shape.faceNormal, angle: angle)) shape.translate(by: offset) shapes[i] = shape } if along.isClosed { var shape = shapes[count - 1] let offset = shape.bounds.center shape.translate(by: -offset) shape.rotate(by: .init(unchecked: shape.faceNormal, angle: twist)) shape.translate(by: offset) shapes[count - 1] = shape } } // Double up shapes at sharp corners let startIndex = along.isClosed ? 0 : 1 for i in (startIndex ..< count - 1).reversed() where !points[i].isCurved { shapes.insert(shapes[i], at: i) } return shapes } } ShapeScript-1.6.14/Euclid/Sources/Path.swift000066400000000000000000000534701450355336000206470ustar00rootroot00000000000000// // Path.swift // Euclid // // Created by Nick Lockwood on 03/07/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // import Foundation /// A path made up of a sequence of straight line segments between points. /// /// A ``Path`` can be either open (a *polyline*) or closed (a *polygon*), but should not be /// self-intersecting or otherwise degenerate. /// /// A path may be formed from multiple subpaths, which can be accessed via the ``Path/subpaths`` property. /// A closed ``Path`` can be converted to one or more ``Polygon``s, but it can also be used for other /// purposes, such as defining a cross-section or profile of a 3D shape. /// /// Paths are typically 2-dimensional, but because ``PathPoint`` positions have a Z coordinate, they are /// not *required* to be. Even a flat ``Path`` (where all points lie on the same plane) can be translated or /// rotated so that its points do not necessarily lie on the *XY* plane. public struct Path: Hashable, Sendable { let subpathIndices: [Int] /// The array of points that makes up this path. public let points: [PathPoint] /// Indicates whether the path is a closed path. public let isClosed: Bool /// The plane upon which all path points lie. Will be nil for non-planar paths. public private(set) var plane: Plane? } extension Path: Codable { private enum CodingKeys: CodingKey { case points, subpaths } /// Creates a new path by decoding from the given decoder. /// - Parameter decoder: The decoder to read data from. public init(from decoder: Decoder) throws { if let container = try? decoder.container(keyedBy: CodingKeys.self) { let points = try container.decodeIfPresent([PathPoint].self, forKey: .points) if var subpaths = try container.decodeIfPresent([Path].self, forKey: .subpaths) { if let points = points { subpaths.insert(Path(points), at: 0) } self.init(subpaths: subpaths) } else { self.init(points ?? []) } } else { let points = try [PathPoint](from: decoder) self.init(points) } } /// Encodes this path into the given encoder. /// - Parameter encoder: The encoder to write data to. public func encode(to encoder: Encoder) throws { let subpaths = self.subpaths if subpaths.count < 2 { try (subpaths.first?.points ?? []).encode(to: encoder) } else { var container = encoder.container(keyedBy: CodingKeys.self) try container.encode(subpaths, forKey: .subpaths) } } } public extension Path { /// An empty path. static let empty: Path = .init([]) /// Indicates whether all the path's points lie on a single plane. var isPlanar: Bool { plane != nil } /// The bounds of all the path's points. var bounds: Bounds { Bounds(points: points.map { $0.position }) } /// The total length of the path. var length: Double { var prev = points.first?.position ?? .zero return points.dropFirst().reduce(0.0) { let position = $1.position defer { prev = position } return $0 + (position - prev).length } } /// The face normal for the path. /// /// > Note: If path is non-planar then this returns an average/approximate normal. var faceNormal: Vector { plane?.normal ?? faceNormalForPolygonPoints( points.map { $0.position }, convex: nil, closed: isClosed ) } /// Replace/remove path point colors. /// - Parameter color: The color to apply to each point in the path. func with(color: Color?) -> Path { Path(unchecked: points.map { $0.with(color: color) }, plane: plane, subpathIndices: subpathIndices) } /// Closes the path by joining last point to first. /// - Returns: A new path, or `self` if the path is already closed, or cannot be closed. func closed() -> Path { if isClosed || self.points.isEmpty { return self } var points = self.points points.append(points[0]) return Path(unchecked: points, plane: plane, subpathIndices: nil) } /// Creates a path from an array of path points. /// - Parameter points: An array of ``PathPoint`` making up the path. init(_ points: [PathPoint]) { self.init( unchecked: sanitizePoints(points), plane: nil, subpathIndices: nil ) } /// Creates a composite path from an array of subpaths. /// - Parameter subpaths: An array of paths. init(subpaths: [Path]) { guard subpaths.count > 1 else { self = subpaths.first ?? .empty return } let points = subpaths.flatMap { $0.points } // Remove duplicate points // TODO: share logic with santizePoints function var result = [PathPoint]() for point in points { if let last = result.last, point.position == last.position { if !point.isCurved, last.isCurved { result[result.count - 1].isCurved = false } } else { result.append(point) } } // TODO: precompute planes/subpathIndices from existing paths self.init(unchecked: result, plane: nil, subpathIndices: nil) } /// Creates a closed path from a polygon. /// - Parameter polygon: A ``Polygon`` to convert to a path. init(_ polygon: Polygon) { let hasTexcoords = polygon.hasTexcoords let hasVertexColors = polygon.hasVertexColors let points = polygon.vertices.map { PathPoint.point( $0.position, texcoord: hasTexcoords ? $0.texcoord : nil, color: hasVertexColors ? $0.color : nil ) } self.init( unchecked: points + [points[0]], plane: polygon.plane, subpathIndices: nil ) } @available(*, deprecated, message: "Use `init(_:)` instead") init(polygon: Polygon) { let hasTexcoords = polygon.hasTexcoords self.init( unchecked: polygon.vertices.map { .point($0.position, texcoord: hasTexcoords ? $0.texcoord : nil) }, plane: polygon.plane, subpathIndices: nil ) } /// An array of the subpaths that make up the path. /// /// For paths without nested subpaths, this will return an array containing only `self`. var subpaths: [Path] { var startIndex = 0 var paths = [Path]() for i in subpathIndices { var points = self.points[startIndex ... i] if paths.last?.isClosed ?? false, points.count > 2, points[startIndex + 1].position == points.last?.position { points.removeFirst() } startIndex = i guard points.count > 1 else { continue } // TODO: support internal one-element line segments guard points.count > 2 || points.startIndex == 0 || i == self.points.count - 1 else { continue } do { // TODO: do this as part of regular sanitization step var points = Array(points) if points.last?.position == points.first?.position { points[0] = points.last! } paths.append(Path(unchecked: points, plane: plane, subpathIndices: [])) } } return paths.isEmpty && !points.isEmpty ? [self] : paths } /// Returns one or more polygons needed to fill the path. /// - Parameter material: An optional ``Polygon/Material-swift.typealias`` to apply to the polygons. /// - Returns: An array of polygons needed to fill the path, or an empty array if path is not closed. /// /// > Note: Polygon normals are calculated automatically based on the curvature of the path points. /// If the path points do not include textcoords, they will be calculated automatically based on the /// path point positions relative to the bounding rectangle of the path. func facePolygons(material: Mesh.Material? = nil) -> [Polygon] { guard subpaths.count <= 1 else { return subpaths.flatMap { $0.facePolygons(material: material) } } guard let vertices = faceVertices else { return [] } if plane != nil, let polygon = Polygon(vertices, material: material) { return [polygon] } return triangulateVertices( vertices, plane: nil, isConvex: nil, sanitizeNormals: false, material: material, id: 0 ).detessellate(ensureConvex: false) } /// An array of vertices suitable for constructing a polygon from the path. /// /// > Note: Vertices include normals and uv coordinates normalized to the bounding /// rectangle of the path. Returns `nil` if path is not closed, or has subpaths. var faceVertices: [Vertex]? { let count = points.count guard isClosed, subpaths.count <= 1, count > 1 else { return nil } var hasTexcoords = true var vertices = [Vertex]() var p0 = points[count - 2] for i in 0 ..< count - 1 { let p1 = points[i] let texcoord = p1.texcoord hasTexcoords = hasTexcoords && texcoord != nil let normal = plane?.normal ?? faceNormalForPolygonPoints( [p0.position, p1.position, points[i + 1].position], convex: true, closed: isClosed ) vertices.append(Vertex( unchecked: p1.position, normal, texcoord, p1.color )) p0 = p1 } guard !verticesAreDegenerate(vertices) else { return nil } if hasTexcoords { return vertices } var min = Vector(.infinity, .infinity) var max = Vector(-.infinity, -.infinity) let flatteningPlane = self.flatteningPlane vertices = vertices.map { let uv = flatteningPlane.flattenPoint($0.position) min.x = Swift.min(min.x, uv.x) min.y = Swift.min(min.y, uv.y) max.x = Swift.max(max.x, uv.x) max.y = Swift.max(max.y, uv.y) return Vertex(unchecked: $0.position, $0.normal, uv, $0.color) } let uvScale = Vector(max.x - min.x, max.y - min.y) return vertices.map { let uv = Vector( ($0.texcoord.x - min.x) / uvScale.x, 1 - ($0.texcoord.y - min.y) / uvScale.y, 0 ) return Vertex(unchecked: $0.position, $0.normal, uv, $0.color) } } /// An array of vertices suitable for constructing a set of edge polygons for the path. /// /// > Note: Returns an empty array if the path has subpaths. var edgeVertices: [Vertex] { edgeVertices(for: .default) } /// An array of vertices suitable for constructing a set of edge polygons for the path. /// - Parameter wrapMode: The wrap mode to use for generating texture coordinates. /// - Returns: The edge vertices, or an empty array if path has subpaths. func edgeVertices(for wrapMode: Mesh.WrapMode) -> [Vertex] { guard subpaths.count <= 1, points.count >= 2 else { // TODO: does this actually match the documented behavior? return points.first.map { [Vertex($0)] } ?? [] } // get path length var totalLength: Double = 0 switch wrapMode { case .shrink, .default: var prev = points[0].position for point in points { let length = (point.position - prev).length totalLength += length prev = point.position } case .tube: var min = Double.infinity var max = -Double.infinity for point in points { min = Swift.min(min, point.position.y) max = Swift.max(max, point.position.y) } totalLength = max - min } let count = isClosed ? points.count - 1 : points.count var p1 = isClosed ? points[count - 1] : ( count > 2 ? extrapolate(points[2], points[1], points[0]) : extrapolate(points[1], points[0]) ) var p2 = points[0] var p1p2 = p2.position - p1.position var n1: Vector! var vertices = [Vertex]() var v = 0.0 let endIndex = count let faceNormal = self.faceNormal for i in 0 ..< endIndex { p1 = p2 p2 = i < points.count - 1 ? points[i + 1] : (isClosed ? points[1] : ( count > 2 ? extrapolate(points[i - 2], points[i - 1], points[i]) : extrapolate(points[i - 1], points[i]) )) let p0p1 = p1p2 p1p2 = p2.position - p1.position let n0 = n1 ?? p0p1.cross(faceNormal).normalized() n1 = p1p2.cross(faceNormal).normalized() let uv = Vector(0, v, 0) switch wrapMode { case .shrink, .default: v += p1p2.length / totalLength case .tube: v += abs(p1p2.y) / totalLength } if p1.isCurved { let v = Vertex( unchecked: p1.position, (n0 + n1).normalized(), uv, p1.color ) vertices.append(v) vertices.append(v) } else { vertices.append(Vertex(unchecked: p1.position, n0, uv, p1.color)) vertices.append(Vertex(unchecked: p1.position, n1, uv, p1.color)) } } var first = vertices.removeFirst() if isClosed { first.texcoord = Vector(0, v, 0) vertices.append(first) } else { vertices.removeLast() } return vertices } } public extension Polygon { /// Creates a single polygon from a path. /// - Parameters /// - shape: The ``Path`` to convert to a polygon. /// - material: An optional ``Material-swift.typealias`` to apply to the polygon. /// /// Path may be convex or concave, but must be closed, planar and non-degenerate, and must not /// include subpaths. For a non-planar path, or one with subpaths, use ``Path/facePolygons(material:)``. init?(shape: Path, material: Material? = nil) { guard let vertices = shape.faceVertices, let plane = shape.plane else { return nil } self.init( unchecked: vertices, plane: plane, isConvex: nil, sanitizeNormals: false, material: material ) } } extension Path { init(unchecked points: [PathPoint], plane: Plane?, subpathIndices: [Int]?) { self.points = points self.isClosed = pointsAreClosed(unchecked: points) let positions = isClosed ? points.dropLast().map { $0.position } : points.map { $0.position } let subpathIndices = subpathIndices ?? subpathIndicesFor(points) self.subpathIndices = subpathIndices if let plane = plane { self.plane = plane assert(positions.allSatisfy { plane.containsPoint($0) }) } else if subpathIndices.isEmpty { self.plane = Plane(points: positions, convex: nil, closed: isClosed) } else { for path in subpaths { guard let plane = path.plane else { self.plane = nil break } if let existing = self.plane { guard existing.isEqual(to: plane) else { self.plane = nil break } } self.plane = plane } } } /// Does path contain vertex colors? var hasColors: Bool { points.contains(where: { $0.color != nil }) } // Test if path is self-intersecting var isSimple: Bool { // TODO: what should we do about subpaths? !pointsAreSelfIntersecting(points.map { $0.position }) } // Returns the most suitable FlatteningPlane for the path var flatteningPlane: FlatteningPlane { FlatteningPlane(normal: faceNormal) } // TODO: Make this more robust, then make public // TODO: Could this make use of Polygon.area? var hasZeroArea: Bool { points.count < (isClosed ? 4 : 3) } // flattens z-axis // TODO: this is a hack and should be replaced by a better solution func flattened() -> Path { guard subpathIndices.isEmpty else { return Path(subpaths: subpaths.map { $0.flattened() }) } if points.allSatisfy({ $0.position.z == 0 }) { return self } let flatteningPlane = self.flatteningPlane return Path(unchecked: sanitizePoints(points.map { PathPoint( flatteningPlane.flattenPoint($0.position), texcoord: $0.texcoord, color: $0.color, isCurved: $0.isCurved ) }), plane: .xy, subpathIndices: []) } func clippedToYAxis() -> Path { guard subpathIndices.isEmpty else { return Path(subpaths: subpaths.map { $0.clippedToYAxis() }) } var points = self.points guard !points.isEmpty else { return self } // flip path if it mostly lies right of the origin var leftOfOrigin = 0 var rightOfOrigin = 0 for p in points { if p.position.x > 0 { rightOfOrigin += 1 } else if p.position.x < 0 { leftOfOrigin += 1 } } if isClosed { if points[0].position.x > 0 { rightOfOrigin -= 1 } else if points[0].position.x < 0 { leftOfOrigin -= 1 } } if rightOfOrigin > leftOfOrigin { // Mirror the path about Y axis points = points.map { var point = $0 point.position.x = -point.position.x return point } } // clip path to Y axis var i = points.count - 1 while i > 0 { let p0 = points[i] let p1 = points[i - 1] if p0.position.x > 0 { if p0 == p1 { points.remove(at: i) } else if abs(p1.position.x) < epsilon { points.remove(at: i) } else if p1.position.x > 0 { points.remove(at: i) points.remove(at: i - 1) i -= 1 } else { let p0p1 = p0.position - p1.position let dy = p0p1.y / p0p1.x * -p1.position.x points[i].position = Vector(0, p1.position.y + dy) continue } } else if p1.position.x > 0 { if p1 == p0 { points.remove(at: i - 1) } else if p0.position.x >= 0 { if i == 1 || (p1.position.y == p0.position.y && p1.position.z == p0.position.z) { points.remove(at: i - 1) } } else { let p0p1 = p1.position - p0.position let dy = p0p1.y / p0p1.x * -p0.position.x points[i - 1].position = Vector(0, p0.position.y + dy) continue } } i -= 1 } return Path( unchecked: points, plane: nil, // Might have changed if path is self-intersecting subpathIndices: nil ) } /// Approximate equality func isEqual(to other: Path, withPrecision p: Double = epsilon) -> Bool { points.count == other.points.count && zip(points, other.points).allSatisfy { $0.isEqual(to: $1, withPrecision: p) } } // Returns the path with its first point recentered on the origin func withNormalizedPosition() -> (path: Path, offset: Vector) { guard let offset = points.first?.position, offset != .zero else { return (self, .zero) } return (translated(by: -offset), offset) } } ShapeScript-1.6.14/Euclid/Sources/PathPoint.swift000066400000000000000000000320071450355336000216520ustar00rootroot00000000000000// // PathPoint.swift // Euclid // // Created by Nick Lockwood on 03/01/2022. // Copyright © 2018 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // import Foundation /// A point along a path. /// /// A path point can represent a sharp corner or a curve, and has a ``PathPoint/position``, and optionally /// a ``PathPoint/texcoord`` and/or ``PathPoint/color``, but no normal. The /// ``PathPoint/isCurved`` property indicates if the point is sharp or smooth, allowing the normal to /// be computed automatically. public struct PathPoint: Hashable, Sendable { /// The position of the path point. public var position: Vector /// The texture coordinate of the path point (optional). If omitted, will be inferred automatically. public var texcoord: Vector? /// The color of the path point (optional). public var color: Color? /// A Boolean indicating whether the point is curved or sharp. public var isCurved: Bool } extension PathPoint: Codable { /// Creates a new path point by decoding from the given decoder. /// - Parameter decoder: The decoder to read data from. public init(from decoder: Decoder) throws { var container = try decoder.unkeyedContainer() let x = try container.decode(Double.self) let y = try container.decode(Double.self) switch container.count { case 2: self.init(Vector(x, y), texcoord: nil, color: nil, isCurved: false) case 3: let isCurved: Bool, position: Vector do { isCurved = try container.decodeIfPresent(Bool.self) ?? false position = Vector(x, y) } catch { isCurved = false position = try Vector(x, y, container.decode(Double.self)) } self.init(position, texcoord: nil, color: nil, isCurved: isCurved) case 4: let zOrU = try container.decode(Double.self) let isCurved: Bool, position: Vector, texcoord: Vector? do { isCurved = try container.decodeIfPresent(Bool.self) ?? false position = Vector(x, y, zOrU) texcoord = nil } catch { isCurved = false position = Vector(x, y) texcoord = try Vector(zOrU, container.decode(Double.self)) } self.init(position, texcoord: texcoord, color: nil, isCurved: isCurved) case 5: let zOrU = try container.decode(Double.self) let uOrV = try container.decode(Double.self) let isCurved: Bool, position: Vector, texcoord: Vector? do { isCurved = try container.decodeIfPresent(Bool.self) ?? false position = Vector(x, y) texcoord = Vector(zOrU, uOrV) } catch { isCurved = false position = Vector(x, y, zOrU) texcoord = try Vector(uOrV, container.decode(Double.self)) } self.init(position, texcoord: texcoord, color: nil, isCurved: isCurved) case 6: let position = try Vector(x, y, container.decode(Double.self)) let u = try container.decode(Double.self) let v = try container.decode(Double.self) let isCurved: Bool, texcoord: Vector? do { isCurved = try container.decodeIfPresent(Bool.self) ?? false texcoord = Vector(u, v) } catch { isCurved = false texcoord = try Vector(u, v, container.decode(Double.self)) } self.init(position, texcoord: texcoord, color: nil, isCurved: isCurved) case 7: let position = try Vector(x, y, container.decode(Double.self)) let uOrR = try container.decode(Double.self) let vOrG = try container.decode(Double.self) let wOrB = try container.decode(Double.self) let isCurved: Bool, texcoord: Vector?, color: Color? do { isCurved = try container.decodeIfPresent(Bool.self) ?? false texcoord = Vector(uOrR, vOrG, wOrB) color = nil } catch { isCurved = false texcoord = nil color = try Color(uOrR, vOrG, wOrB, container.decode(Double.self)) } self.init(position, texcoord: texcoord, color: color, isCurved: isCurved) case 8: try self.init( Vector(x, y, container.decode(Double.self)), texcoord: nil, color: Color(from: &container), isCurved: container.decode(Bool.self) ) case 9: try self.init( Vector(x, y, container.decode(Double.self)), texcoord: Vector(from: &container), color: Color(from: &container), isCurved: false ) case 10: let position = try Vector(x, y, container.decode(Double.self)) let texcoord = try Vector(from: &container) let r = try container.decode(Double.self) let g = try container.decode(Double.self) let b = try container.decode(Double.self) let isCurved: Bool, color: Color? do { isCurved = try container.decodeIfPresent(Bool.self) ?? false color = Color(r, g, b) } catch { isCurved = false color = try Color(r, g, b, container.decode(Double.self)) } self.init(position, texcoord: texcoord, color: color, isCurved: isCurved) case 11: try self.init( Vector(x, y, container.decode(Double.self)), texcoord: Vector(from: &container), color: Color(from: &container), isCurved: container.decode(Bool.self) ) default: throw DecodingError.dataCorruptedError( in: container, debugDescription: "Cannot decode path point" ) } } /// Encodes this path point into the given encoder. /// - Parameter encoder: The encoder to write data to. public func encode(to encoder: Encoder) throws { var container = encoder.unkeyedContainer() let skipTextureZ = texcoord?.z ?? 0 == 0 let skipPositionZ = color == nil && position.z == 0 && skipTextureZ let skipAlpha = texcoord != nil && color?.a ?? 1 == 1 try position.encode(to: &container, skipZ: skipPositionZ) try texcoord?.encode(to: &container, skipZ: skipTextureZ) try color?.encode(to: &container, skipA: skipAlpha) try isCurved ? container.encode(true) : () } } public extension Vertex { /// Creates a vertex from a path point. /// - Parameter point: The path point to create the vertex from. init(_ point: PathPoint) { self.init( unchecked: point.position, nil, point.texcoord, point.color ) } } public extension PathPoint { /// Creates a corner path point at the specified position. /// - Parameters: /// - position: The location of the path point. /// - texcoord: An optional texture coordinate for this path point. /// - color: An optional vertex color for this path point. static func point( _ position: Vector, texcoord: Vector? = nil, color: Color? = nil ) -> PathPoint { PathPoint(position, texcoord: texcoord, color: color, isCurved: false) } /// Creates a corner path point at the specified X, Y and Z coordinates. /// - Parameters: /// - x: The X coordinate of the path point. /// - y: The Y coordinate of the path point. /// - z: The Z coordinate of the path point (optional - defaults to zero). /// - texcoord: An optional texture coordinate for this path point. /// - color: An optional vertex color for this path point. static func point( _ x: Double, _ y: Double, _ z: Double = 0, texcoord: Vector? = nil, color: Color? = nil ) -> PathPoint { .point(Vector(x, y, z), texcoord: texcoord, color: color) } /// Creates a curved path point at the specified position. /// - Parameters: /// - position: The location of the path point. /// - texcoord: The texture coordinate corresponding to this path point. /// - color: An optional vertex color for this path point. static func curve( _ position: Vector, texcoord: Vector? = nil, color: Color? = nil ) -> PathPoint { PathPoint(position, texcoord: texcoord, color: color, isCurved: true) } /// Creates a curved path point at the specified X, Y and Z coordinates. /// - Parameters: /// - x: The X coordinate of the path point. /// - y: The Y coordinate of the path point. /// - z: The Z coordinate of the path point. /// - texcoord: An optional texture coordinate for this path point. /// - color: An optional vertex color for this path point. static func curve( _ x: Double, _ y: Double, _ z: Double = 0, texcoord: Vector? = nil, color: Color? = nil ) -> PathPoint { .curve(Vector(x, y, z), texcoord: texcoord, color: color) } /// Creates a path point. /// - Parameters: /// - position: The location of the path point. /// - texcoord: An optional texture coordinate for this path point. /// - color: An optional vertex color for this path point. /// - isCurved: A Boolean indicating if point should be curved or sharp. init(_ position: Vector, texcoord: Vector?, color: Color?, isCurved: Bool) { self.position = position._quantized() self.texcoord = texcoord self.color = color self.isCurved = isCurved } /// Creates a path point from a vertex. /// - Parameter vertex: The vertex to create the point from. init(_ vertex: Vertex) { self.init( vertex.position, texcoord: vertex.texcoord, color: vertex.color, isCurved: false ) } /// Linearly interpolates between two path points. /// - Parameters: /// - other: The path point to interpolate with. /// - t: The normalized extent of interpolation, from 0 to 1. /// - Returns: A new path point at the interpolated position. func lerp(_ other: PathPoint, _ t: Double) -> PathPoint { let texcoord: Vector? switch (self.texcoord, other.texcoord) { case let (lhs?, rhs?): texcoord = lhs.lerp(rhs, t) case let (lhs, rhs): texcoord = lhs ?? rhs } let color: Color? switch (self.color, other.color) { case let (lhs?, rhs?): color = lhs.lerp(rhs, t) case let (lhs, rhs): color = lhs ?? rhs } let isCurved = self.isCurved || other.isCurved return PathPoint( position.lerp(other.position, t), texcoord: texcoord, color: color, isCurved: isCurved ) } /// Curve or uncurve the point. /// - Parameter isCurved: Whether the resultant point should be curved. func curved(_ isCurved: Bool = true) -> PathPoint { var point = self point.isCurved = isCurved return point } /// Replace/remove point color. /// - Parameter color: The color to apply to the point. func with(color: Color?) -> PathPoint { var point = self point.color = color return point } } extension PathPoint { /// Approximate equality func isEqual(to other: PathPoint, withPrecision p: Double = epsilon) -> Bool { isCurved == other.isCurved && position.isEqual(to: other.position, withPrecision: p) && texcoord == other.texcoord && color == other.color } } ShapeScript-1.6.14/Euclid/Sources/Plane.swift000066400000000000000000000246631450355336000210140ustar00rootroot00000000000000// // Plane.swift // Euclid // // Created by Nick Lockwood on 03/07/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // /// An infinite 2D plane in 3D space. public struct Plane: Hashable, Sendable { /// A surface normal vector, perpendicular to the plane. public let normal: Vector /// The perpendicular distance from the world origin to the plane. public let w: Double /// Creates a plane from a surface normal and a distance from the world origin. /// - Parameters: /// - normal: The surface normal of the plane. /// - w: The perpendicular distance from the world origin to the plane. init?(normal: Vector, w: Double) { let length = normal.length guard length.isFinite, length > epsilon else { return nil } self.init(unchecked: normal / length, w: w) } } extension Plane: Comparable { /// Returns whether the leftmost plane has the lower value. /// This provides a stable order when sorting collections of planes. public static func < (lhs: Plane, rhs: Plane) -> Bool { if lhs.normal == rhs.normal { return lhs.w < rhs.w } return lhs.normal < rhs.normal } } extension Plane: Codable { private enum CodingKeys: CodingKey { case normal, w } /// Creates a new plane by decoding from the given decoder. /// - Parameter decoder: The decoder to read data from. public init(from decoder: Decoder) throws { if var container = try? decoder.unkeyedContainer() { self.normal = try Vector(from: &container).normalized() self.w = try container.decode(Double.self) } else { let container = try decoder.container(keyedBy: CodingKeys.self) self.normal = try container.decode(Vector.self, forKey: .normal).normalized() self.w = try container.decode(Double.self, forKey: .w) } } /// Encodes this plane into the given encoder. /// - Parameter encoder: The encoder to write data to. public func encode(to encoder: Encoder) throws { var container = encoder.unkeyedContainer() try normal.encode(to: &container) try container.encode(w) } } public extension Plane { /// A plane located at the origin, aligned with the Y and Z axes. static let yz = Plane(unchecked: .unitX, w: 0) /// A plane located at the origin, aligned with the X and Z axes. static let xz = Plane(unchecked: .unitY, w: 0) /// A plane located at the origin, aligned with the X and Y axes. static let xy = Plane(unchecked: .unitZ, w: 0) /// Creates a plane from a point and surface normal. /// - Parameters: /// - normal: The surface normal of the plane. /// - pointOnPlane: An arbitrary point on the plane. init?(normal: Vector, pointOnPlane: Vector) { let length = normal.length guard length.isFinite, length > epsilon else { return nil } self.init(unchecked: normal / length, pointOnPlane: pointOnPlane) } /// Creates a plane from a set of points. /// - Parameter points: A set of coplanar points describing a polygon. /// /// > Note: The polygon can be convex or concave. The direction of the plane normal is /// based on the assumption that the points are wound in an anti-clockwise direction. init?(points: [Vector]) { self.init(points: points, convex: nil, closed: nil) } /// Returns the flip-side of the plane. func inverted() -> Plane { Plane(unchecked: -normal, w: -w) } /// Returns a Boolean value that indicates whether a point lies on the plane. /// - Parameter point: The point to test. /// - Returns: `true` if the point lies on the plane and `false` otherwise. func containsPoint(_ point: Vector) -> Bool { abs(point.distance(from: self)) < planeEpsilon } /// Returns the distance between a point and the plane. /// - Parameter point: The point to compare with. /// - Returns: The distance between the point and the plane. The value is positive if the point lies /// in front of the plane, and negative if behind. func distance(from point: Vector) -> Double { normal.dot(point) - w } /// Computes the line of intersection between two planes. /// - Parameter plane: The plane to compare with. /// - Returns: The line of intersection between the planes, or `nil` if the planes are parallel. func intersection(with p: Plane) -> Line? { let direction = normal.cross(p.normal) guard direction.length > epsilon else { // Planes are parallel return nil } let n1 = normal.components let n2 = p.normal.components // http://geomalgorithms.com/a05-_intersect-1.html func findCommonPoint(_ a: Int, _ b: Int) -> Vector { let a1 = n1[a], b1 = n1[b] let a2 = n2[a], b2 = n2[b] var result: [Double] = [0, 0, 0] result[a] = (b2 * w - b1 * p.w) / (a1 * b2 - a2 * b1) result[b] = (a1 * p.w - a2 * w) / (a1 * b2 - a2 * b1) return Vector(result) } let origin: Vector if abs(direction.z) >= abs(direction.x), abs(direction.z) >= abs(direction.y) { origin = findCommonPoint(0, 1) } else if abs(direction.y) >= abs(direction.z), abs(direction.y) >= abs(direction.x) { origin = findCommonPoint(2, 0) } else { origin = findCommonPoint(1, 2) } return Line(origin: origin, direction: direction) } /// Computes the point of intersection between a line and a plane. /// - Parameter line: The ``Line`` to compare with. /// - Returns: The point of intersection between the line and plane, or `nil` if they are parallel. func intersection(with line: Line) -> Vector? { linePlaneIntersection(line.origin, line.direction, self).map { line.origin + line.direction * $0 } } /// Computes the point of intersection between a line segment and a plane. /// - Parameter line: The ``LineSegment`` to compare with. /// - Returns: The point of intersection between the line segment and plane, or `nil` if they do not intersect. func intersection(with segment: LineSegment) -> Vector? { linePlaneIntersection(segment.start, segment.direction, self).flatMap { $0 >= 0 && $0 <= segment.length ? segment.start + segment.direction * $0 : nil } } } extension Plane { init(unchecked normal: Vector, w: Double) { assert(normal.isNormalized) self.normal = normal self.w = w } init(unchecked normal: Vector, pointOnPlane: Vector) { self.init(unchecked: normal, w: normal.dot(pointOnPlane)) } init?(points: [Vector], convex: Bool?, closed: Bool?) { guard !points.isEmpty, !pointsAreDegenerate(points) else { return nil } self.init(unchecked: points, convex: convex, closed: closed) // Check all points lie on this plane if points.count > 3, points.contains(where: { !containsPoint($0) }) { return nil } } init(unchecked points: [Vector], convex: Bool?, closed: Bool?) { assert(!pointsAreDegenerate(points)) let normal = faceNormalForPolygonPoints(points, convex: convex, closed: closed) self.init(unchecked: normal, pointOnPlane: points[0]) } // Approximate equality func isEqual(to other: Plane, withPrecision p: Double = planeEpsilon) -> Bool { w.isEqual(to: other.w, withPrecision: p) && normal.isEqual(to: other.normal, withPrecision: p) } } /// The relationship between a group of points and a plane. enum PlaneComparison: Int { /// The values all reside on the same plane. case coplanar = 0 /// The values reside in front of the plane. case front = 1 /// The values reside behind the plane. case back = 2 /// The values span both the front and back of the plane. case spanning = 3 func union(_ other: PlaneComparison) -> PlaneComparison { PlaneComparison(rawValue: rawValue | other.rawValue)! } } // An enum of planes along the X, Y and Z axes // Used internally for flattening 3D paths and polygons enum FlatteningPlane: RawRepresentable { case xy, xz, yz var rawValue: Plane { switch self { case .xy: return .xy case .xz: return .xz case .yz: return .yz } } init(normal: Vector) { switch (abs(normal.x), abs(normal.y), abs(normal.z)) { case let (x, y, z) where x > y && x > z: self = .yz case let (x, y, z) where x > z || y > z: self = .xz default: self = .xy } } init(points: [Vector]) { self.init(normal: faceNormalForPolygonPoints( points, convex: nil, closed: nil )) } init?(rawValue: Plane) { switch rawValue { case .xy: self = .xy case .xz: self = .xz case .yz: self = .yz default: return nil } } func flattenPoint(_ point: Vector) -> Vector { switch self { case .yz: return Vector(point.y, point.z) case .xz: return Vector(point.x, point.z) case .xy: return Vector(point.x, point.y) } } } ShapeScript-1.6.14/Euclid/Sources/Polygon+CSG.swift000066400000000000000000000177101450355336000220070ustar00rootroot00000000000000// // Polygon+CSG.swift // Euclid // // Created by Nick Lockwood on 09/01/2023. // Copyright © 2023 Nick Lockwood. All rights reserved. // public extension Polygon { /// Split the polygon along a plane. /// - Parameter along: The ``Plane`` to split the polygon along. /// - Returns: A pair of arrays representing the polygon fragments in front of and behind the plane respectively. /// /// > Note: If the plane and polygon do not intersect, one of the returned arrays will be empty. func split(along plane: Plane) -> (front: [Polygon], back: [Polygon]) { var id = 0 var coplanar = [Polygon](), front = [Polygon](), back = [Polygon]() split(along: plane, &coplanar, &front, &back, &id) for polygon in coplanar { plane.normal.dot(polygon.plane.normal) > 0 ? front.append(polygon) : back.append(polygon) } return (front, back) } /// Clip polygon to the specified plane /// - Parameter plane: The plane to clip the polygon to. /// - Returns: An array of the polygon fragments that lie in front of the plane. func clip(to plane: Plane) -> [Polygon] { var id = 0 var coplanar = [Polygon](), front = [Polygon](), back = [Polygon]() split(along: plane, &coplanar, &front, &back, &id) for polygon in coplanar where plane.normal.dot(polygon.plane.normal) > 0 { front.append(polygon) } return front } /// Computes a set of edges where the polygon intersects a plane. /// - Parameter plane: A ``Plane`` to test against the mesh. /// - Returns: A `Set` of ``LineSegment`` representing the polygon edges intersecting the plane. func edges(intersecting plane: Plane) -> Set { var edges = Set() intersect(with: plane, edges: &edges) return edges } } extension Polygon { func clip( to polygons: [Polygon], _ inside: inout [Polygon], _ outside: inout [Polygon], _ id: inout Int ) { var toTest = tessellate() for polygon in polygons.tessellate() where !toTest.isEmpty { var _outside = [Polygon]() toTest.forEach { polygon.clip($0, &inside, &_outside, &id) } toTest = _outside } outside += toTest } func clip( _ polygon: Polygon, _ inside: inout [Polygon], _ outside: inout [Polygon], _ id: inout Int ) { assert(isConvex) var polygon = polygon var coplanar = [Polygon]() for plane in edgePlanes { var back = [Polygon]() polygon.split(along: plane, &coplanar, &outside, &back, &id) guard let p = back.first else { return } polygon = p } inside.append(polygon) } // Put the polygon in the correct list, splitting it when necessary func split( along plane: Plane, _ coplanar: inout [Polygon], _ front: inout [Polygon], _ back: inout [Polygon], _ id: inout Int ) { switch compare(with: plane) { case .coplanar: coplanar.append(self) case .front: front.append(self) case .back: back.append(self) case .spanning: split(spanning: plane, &front, &back, &id) } } func split( spanning plane: Plane, _ front: inout [Polygon], _ back: inout [Polygon], _ id: inout Int ) { assert(compare(with: plane) == .spanning) var polygon = self if polygon.id == 0 { id += 1 polygon.id = id } guard polygon.isConvex else { var coplanar = [Polygon]() polygon.tessellate().forEach { $0.split(along: plane, &coplanar, &front, &back, &id) } return } var f = [Vertex](), b = [Vertex]() var v0 = polygon.vertices.last!, t0 = v0.position.compare(with: plane) for v1 in polygon.vertices { if t0 != .back { f.append(v0) } if t0 != .front { b.append(v0) } let t1 = v1.position.compare(with: plane) if t0.union(t1) == .spanning { let t = (plane.w - plane.normal.dot(v0.position)) / plane.normal.dot(v1.position - v0.position) let v = v0.lerp(v1, t) if f.last?.position != v.position, f.first?.position != v.position { f.append(v) } if b.last?.position != v.position, b.first?.position != v.position { b.append(v) } } v0 = v1 t0 = t1 } if !verticesAreDegenerate(f) { front.append(Polygon( unchecked: f, plane: polygon.plane, isConvex: true, sanitizeNormals: false, material: material, id: polygon.id )) } if !verticesAreDegenerate(b) { back.append(Polygon( unchecked: b, plane: polygon.plane, isConvex: true, sanitizeNormals: false, material: material, id: polygon.id )) } } // Return all intersections with the plane func intersect(with plane: Plane, edges: inout Set) { var wasFront = false, wasBack = false for edge in undirectedEdges { switch edge.compare(with: plane) { case .front where wasBack, .back where wasFront, .spanning: intersect(spanning: plane, intersections: &edges) return case .coplanar: edges.insert(edge) case .front: wasFront = true case .back: wasBack = true } } } func intersect(spanning plane: Plane, intersections: inout Set) { assert(compare(with: plane) == .spanning) guard isConvex else { tessellate().forEach { $0.intersect(spanning: plane, intersections: &intersections) } return } var start: Vector? var p0 = vertices.last!.position, t0 = p0.compare(with: plane) for v in vertices { let p1 = v.position, t1 = p1.compare(with: plane) if t0 == .coplanar || t0.union(t1) == .spanning { let t = (plane.w - plane.normal.dot(p0)) / plane.normal.dot(p1 - p0) let p = p0.lerp(p1, t) if let start = start { intersections.insert(LineSegment(normalized: start, p)) return } start = p } p0 = p1 t0 = t1 } assertionFailure() } mutating func insertEdgePoint(_ p: Vector) -> Bool { guard var last = vertices.last else { assertionFailure() return false } if vertices.contains(where: { $0.position.isEqual(to: p) }) { return false } for (i, v) in vertices.enumerated() { let s = LineSegment(unchecked: last.position, v.position) guard s.containsPoint(p) else { last = v continue } var vertices = self.vertices let t = (p - s.start).length / s.length guard t > epsilon, t < 1 - epsilon else { return false } vertices.insert(last.lerp(v, t), at: i) self = Polygon( unchecked: vertices, plane: plane, isConvex: isConvex, sanitizeNormals: false, material: material, id: id ) return true } return false } } ShapeScript-1.6.14/Euclid/Sources/Polygon.swift000066400000000000000000001121051450355336000213710ustar00rootroot00000000000000// // Polygon.swift // Euclid // // Created by Nick Lockwood on 03/07/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // import Foundation /// A polygon in 3D space. /// /// A polygon must be composed of three or more vertices, and those vertices must all lie on the same /// plane. The edges of a polygon can be either convex or concave, but not self-intersecting. public struct Polygon: Hashable, Sendable { private var storage: Storage // Used to track split/join. var id: Int } extension Polygon: Codable { private enum CodingKeys: CodingKey { case vertices, plane, material } /// Creates a new polygon by decoding from the given decoder. /// - Parameter decoder: The decoder to read data from. public init(from decoder: Decoder) throws { let vertices: [Vertex] var plane: Plane?, material: Material? if let container = try? decoder.container(keyedBy: CodingKeys.self) { vertices = try container.decode([Vertex].self, forKey: .vertices) guard !verticesAreDegenerate(vertices) else { throw DecodingError.dataCorruptedError( forKey: .vertices, in: container, debugDescription: "Vertices are degenerate" ) } plane = try container.decodeIfPresent(Plane.self, forKey: .plane) material = try container.decodeIfPresent(CodableMaterial.self, forKey: .material)?.value } else { var container = try decoder.unkeyedContainer() if let values = try? container.decode([Vertex].self) { vertices = values plane = try container.decode(Plane.self) material = try container.decodeIfPresent(CodableMaterial.self)?.value } else { vertices = try [Vertex](from: decoder) } guard !verticesAreDegenerate(vertices) else { throw DecodingError.dataCorruptedError( in: container, debugDescription: "Vertices are degenerate" ) } } self.init( unchecked: vertices, plane: plane, isConvex: nil, sanitizeNormals: true, material: material ) } /// Encodes this polygon into the given encoder. /// - Parameter encoder: The encoder to write data to. public func encode(to encoder: Encoder) throws { let positions = vertices.map { $0.position } if material == nil, plane == Plane( unchecked: positions, convex: isConvex, closed: true ) { if vertices.allSatisfy({ $0.texcoord == .zero && $0.normal == plane.normal && $0.color == .white }) { try positions.encode(to: encoder) } else { try vertices.encode(to: encoder) } } else { var container = encoder.unkeyedContainer() try container.encode(vertices) try container.encode(plane) try material.map { try container.encode(CodableMaterial($0)) } } } } public extension Polygon { /// Material used by a given polygon. /// This can be any type that conforms to `Hashable`, but encoding/decoding is only supported /// for the following types: `Color`, `String`, `Int`, `Data` or any `NSCodable` type. typealias Material = AnyHashable /// The array of vertices that make up the polygon. var vertices: [Vertex] { storage.vertices } /// The plane on which all vertices lie. var plane: Plane { storage.plane } /// The bounding box containing the polygon. var bounds: Bounds { Bounds(points: vertices.map { $0.position }) } /// A Boolean value that indicates whether the polygon is convex. var isConvex: Bool { storage.isConvex } /// An optional ``Material-swift.typealias`` associated with the polygon. var material: Material? { get { storage.material } set { if isKnownUniquelyReferenced(&storage) { storage.material = newValue } else { storage = Storage( vertices: vertices, plane: plane, isConvex: isConvex, material: newValue ) } } } /// A Boolean value that indicates whether the polygon includes texture coordinates. var hasTexcoords: Bool { vertices.contains(where: { $0.texcoord != .zero }) } /// A Boolean value that indicates whether the polygon includes vertex normals that differ from the face normal. var hasVertexNormals: Bool { vertices.contains(where: { !$0.normal.isEqual(to: plane.normal) && $0.normal != .zero }) } /// A Boolean value that indicates whether the polygon includes vertex colors. var hasVertexColors: Bool { vertices.contains(where: { $0.color != .white }) } /// The position of the center of the polygon. var center: Vector { vertices.reduce(.zero) { $0 + $1.position } / Double(vertices.count) } /// Returns the ordered array of polygon edges. var orderedEdges: [LineSegment] { var p0 = vertices.last!.position return vertices.map { let p1 = $0.position defer { p0 = p1 } return LineSegment(unchecked: p0, p1) } } /// An unordered set of polygon edges. /// The direction of each edge is normalized relative to the origin to simplify edge-equality comparisons. var undirectedEdges: Set { var p0 = vertices.last!.position return Set(vertices.map { let p1 = $0.position defer { p0 = p1 } return LineSegment(normalized: p0, p1) }) } /// Returns the area of the polygon. var area: Double { var vertices = self.vertices let z = vertices.first?.position.z ?? 0 if !vertices.allSatisfy({ abs($0.position.z - z) < epsilon }) { let r = rotationBetweenVectors(plane.normal, .unitZ) vertices = vertices.map { Vertex($0.position.rotated(by: -r)) } let z = vertices.first?.position.z ?? 0 assert(vertices.allSatisfy { abs($0.position.z - z) < epsilon }) } var prev = vertices.last!.position return abs(vertices.reduce(0) { area, v in defer { prev = v.position } return area + (prev.x - v.position.x) * (prev.y + v.position.y) } / 2) } /// Creates a copy of the polygon with the specified material. /// - Parameter material: The replacement material, or `nil` to remove the material. func with(material: Material?) -> Polygon { var polygon = self polygon.material = material return polygon } /// Creates a polygon from an array of vertices. /// - Parameters: /// - vertices: An array of ``Vertex`` that make up the polygon. /// - material: An optional ``Material-swift.typealias`` to use for the polygon. /// /// > Note: A polygon can be convex or concave, but vertices must be coplanar and non-degenerate. /// Vertices are assumed to be in anti-clockwise order for the purpose of deriving the face normal. init?(_ vertices: [Vertex], material: Material? = nil) { let positions = vertices.map { $0.position } let isConvex = pointsAreConvex(positions) guard positions.count > 2, !pointsAreSelfIntersecting(positions), // Note: Plane init includes check for degeneracy let plane = Plane(points: positions, convex: isConvex, closed: true) else { return nil } self.init( unchecked: vertices, plane: plane, isConvex: isConvex, sanitizeNormals: true, material: material ) } /// Creates a polygon from a set of vertex positions. /// - Parameters: /// - vertices: A collection of ``Vector`` positions for the polygon vertices. /// - material: An optional ``Material-swift.typealias`` to use for the polygon. /// /// > Note: Vertex normals will be set to match the overall face normal of the polygon. /// Texture coordinates will be set to zero. Vertex colors will be defaulted to white. init?( _ vertices: T, material: Material? = nil ) where T.Element == Vector { self.init(vertices.map(Vertex.init), material: material) } /// Returns a Boolean value that indicates whether a point lies inside the polygon, on the same plane. /// - Parameter point: The point to test. /// - Returns: `true` if the point lies inside the polygon and `false` otherwise. func containsPoint(_ point: Vector) -> Bool { guard plane.containsPoint(point) else { return false } // https://stackoverflow.com/questions/217578/how-can-i-determine-whether-a-2d-point-is-within-a-polygon#218081 let flatteningPlane = FlatteningPlane(normal: plane.normal) let points = vertices.map { flatteningPlane.flattenPoint($0.position) } let p = flatteningPlane.flattenPoint(point) let count = points.count var c = false var j = count - 1 for i in 0 ..< count { if (points[i].y > p.y) != (points[j].y > p.y), p.x < (points[j].x - points[i].x) * (p.y - points[i].y) / (points[j].y - points[i].y) + points[i].x { c = !c } j = i } return c } /// Merges this polygon with another, removing redundant vertices where possible. /// - Parameters: /// - other: The polygon to merge with. /// - ensureConvex: A Boolean indicating is the resultant polygon must be convex. /// - Returns: The combined polygon, or `nil` if the polygons can't be merged. func merge(_ other: Polygon, ensureConvex: Bool = false) -> Polygon? { // do they have the same material? guard material == other.material else { return nil } // are they coplanar? guard plane.isEqual(to: other.plane) else { return nil } return merge(unchecked: other, ensureConvex: ensureConvex) } /// Return a copy of the polygon without texture coordinates func withoutTexcoords() -> Polygon { Polygon( unchecked: vertices.withoutTexcoords(), plane: plane, isConvex: isConvex, sanitizeNormals: false, material: material, id: id ) } /// Flips the polygon along its plane and reverses the order and surface normals of the vertices. /// - Returns: The inverted polygon. func inverted() -> Polygon { Polygon( unchecked: vertices.inverted(), plane: plane.inverted(), isConvex: isConvex, sanitizeNormals: false, material: material, id: id ) } /// Splits a polygon into two or more convex polygons using the "ear clipping" method. /// - Parameter maxSides: The maximum number of sides each polygon may have. /// - Returns: An array of convex polygons. func tessellate(maxSides: Int = .max) -> [Polygon] { let maxSides = max(maxSides, 3) if vertices.count <= maxSides, isConvex { return [self] } var polygons = triangulate() if maxSides == 3 { return polygons } var i = polygons.count - 1 while i > 1 { let a = polygons[i] let count = a.vertices.count if count < maxSides, let j = polygons.firstIndex(where: { $0.vertices.count + count - 2 <= maxSides }), j < i, let merged = a.merge(unchecked: polygons[j], ensureConvex: true) { precondition(merged.vertices.count <= maxSides) precondition(merged.isConvex) polygons[j] = merged polygons.remove(at: i) } i -= 1 } return polygons } /// Tessellates the polygon into triangles. /// - Returns: An array of triangles. /// /// > Note: If the polygon is already a triangle then it is returned unchanged. func triangulate() -> [Polygon] { guard vertices.count > 3 else { return [self] } return triangulateVertices( vertices, plane: plane, isConvex: isConvex, sanitizeNormals: false, material: material, id: id ) } } extension Collection where Element == LineSegment { /// Set of all unique start/end points in edge collection. var endPoints: Set { var endPoints = Set() for edge in self { endPoints.insert(edge.start) endPoints.insert(edge.end) } return endPoints } /// Returns the largest separation distance between a set of edges endpoints. /// Useful for calculating the threshold to use when merging vertex coordinates to eliminate holes. var separationDistance: Double { var distance = 0.0 for (i, a) in dropLast().enumerated() { var best = Double.infinity for b in dropFirst(i) { let d = Swift.max((b.start - a.start).length, (b.end - a.end).length) if d > 0, d < best { best = d } } if best.isFinite, best > distance { distance = best } } return distance } } extension Collection where Element == Polygon { /// Does any polygon include texture coordinates? var hasTexcoords: Bool { contains(where: { $0.hasTexcoords }) } /// Does any polygon have vertex normals that differ from the face normal? var hasVertexNormals: Bool { contains(where: { $0.hasVertexNormals }) } /// Does any polygon have vertex colors? var hasVertexColors: Bool { contains(where: { $0.hasVertexColors }) } /// Return a set of all unique edges across all the polygons var uniqueEdges: Set { var edges = Set() forEach { edges.formUnion($0.undirectedEdges) } return edges } /// Check if polygons form a watertight mesh, i.e. every edge is attached to at least 2 polygons. /// Note: doesn't verify that mesh is not self-intersecting or inside-out. var areWatertight: Bool { holeEdges.isEmpty } /// Returns all edges that exist at the boundary of a hole. var holeEdges: Set { var edges = Set() for polygon in self { for edge in polygon.undirectedEdges { if let index = edges.firstIndex(of: edge) { edges.remove(at: index) } else { edges.insert(edge) } } } return edges } /// Insert missing vertices needed to prevent hairline cracks. func insertingEdgeVertices(with holeEdges: Set) -> [Polygon] { var points = Set() for edge in holeEdges { points.insert(edge.start) points.insert(edge.end) } var polygons = Array(self) let sortedPoints = points.sorted() for i in polygons.indices { let bounds = polygons[i].bounds.inset(by: -epsilon) for point in sortedPoints where bounds.containsPoint(point) { _ = polygons[i].insertEdgePoint(point) } } return polygons } /// Merge vertices with similar positions. /// - Parameter precision: The maximum distance between vertices. func mergingVertices(withPrecision precision: Double) -> [Polygon] { mergingVertices(nil, withPrecision: precision) } /// Merge vertices with similar positions. /// - Parameters /// - vertices: The vertices to merge. If nil then all vertices are merged. /// - precision: The maximum distance between vertices. func mergingVertices( _ vertices: Set?, withPrecision precision: Double ) -> [Polygon] { var positions = VertexSet(precision: precision) return compactMap { var merged = [Vertex]() var modified = false for v in $0.vertices { if let vertices = vertices, !vertices.contains(v.position) { merged.append(v) continue } let u = positions.insert(v) if modified || v != u { modified = true if let w = merged.last, w.position == u.position { merged[merged.count - 1] = w.lerp(v, 0.5).with(position: u.position) continue } } merged.append(u) } if !modified { return $0 } if merged.count > 1, let w = merged.first, w.position == merged.last?.position { merged[0] = w.lerp(merged.removeLast(), 0.5) } return Polygon(merged, material: $0.material) } } /// Smooth vertex normals func smoothNormals(_ threshold: Angle) -> [Polygon] { guard threshold > .zero else { return map { p0 in let n0 = p0.plane.normal return Polygon( unchecked: p0.vertices.map { $0.with(normal: n0) }, plane: p0.plane, isConvex: p0.isConvex, sanitizeNormals: false, material: p0.material ) } } var polygonsByVertex = [Vector: [Polygon]]() forEach { polygon in polygon.vertices.forEach { vertex in polygonsByVertex[vertex.position, default: []].append(polygon) } } return map { p0 in let n0 = p0.plane.normal return Polygon( unchecked: p0.vertices.map { v0 in let polygons = polygonsByVertex[v0.position] ?? [] return v0.with(normal: polygons.compactMap { p1 in let n1 = p1.plane.normal return .acos(n0.dot(n1)) < threshold ? n1 : nil }.reduce(.zero) { $0 + $1 }) }, plane: p0.plane, isConvex: p0.isConvex, sanitizeNormals: false, material: p0.material ) } } /// Return polygons without texture coordinates func withoutTexcoords() -> [Polygon] { map { $0.withoutTexcoords() } } /// Flip each polygon along its plane func inverted() -> [Polygon] { map { $0.inverted() } } /// Decompose each concave polygon into 2 or more convex polygons func tessellate(maxSides: Int = .max) -> [Polygon] { flatMap { $0.tessellate(maxSides: maxSides) } } /// Decompose each polygon into triangles func triangulate() -> [Polygon] { flatMap { $0.triangulate() } } /// Merge coplanar polygons that share one or more edges /// Note: polygons must be sorted by plane prior to calling this method func detessellate(ensureConvex: Bool = false) -> [Polygon] { var polygons = Array(self) assert(polygons.areSortedByPlane) var i = 0 var firstPolygonInPlane = 0 while i < polygons.count { var j = i + 1 let a = polygons[i] while j < polygons.count { let b = polygons[j] guard a.plane.isEqual(to: b.plane) else { firstPolygonInPlane = j i = firstPolygonInPlane - 1 break } if let merged = a.merge(b, ensureConvex: ensureConvex) { polygons[i] = merged polygons.remove(at: j) i = firstPolygonInPlane - 1 break } j += 1 } i += 1 } return polygons } /// Group polygons by plane func groupedByPlane() -> [(plane: Plane, polygons: [Polygon])] { if isEmpty { return [] } let polygons = sorted(by: { $0.plane.w < $1.plane.w }) var prev = polygons[0] var sorted = [(Plane, [Polygon])]() var groups = [(Plane, [Polygon])]() for p in polygons { if p.plane.w.isEqual(to: prev.plane.w, withPrecision: planeEpsilon) { if let i = groups.lastIndex(where: { $0.0.isEqual(to: p.plane) }) { groups[i].0 = p.plane groups[i].1.append(p) } else { groups.append((p.plane, [p])) } } else { sorted += groups groups = [(p.plane, [p])] } prev = p } sorted += groups return sorted } /// Sort polygons by plane func sortedByPlane() -> [Polygon] { groupedByPlane().flatMap { $0.polygons } } /// Group by material func groupedByMaterial() -> [Polygon.Material?: [Polygon]] { var polygonsByMaterial = [Polygon.Material?: [Polygon]]() forEach { polygonsByMaterial[$0.material, default: []].append($0) } return polygonsByMaterial } /// Group by touching vertices func groupedBySubmesh() -> [[Polygon]] { var submeshes = [[Polygon]]() var points = [Set]() for poly in self { let positions = Set(poly.vertices.map { $0.position }) var lastMatch: Int? for i in points.indices.reversed() { if !points[i].isDisjoint(with: positions) { submeshes[i].append(poly) points[i].formUnion(positions) if let j = lastMatch { for p in submeshes.remove(at: j) where !submeshes[i].contains(p) { submeshes[i].append(p) } points[i].formUnion(points.remove(at: j)) } lastMatch = i } } if lastMatch == nil { submeshes.append([poly]) points.append(positions) } } return submeshes } } extension MutableCollection where Element == Polygon, Index == Int { /// Merge coplanar polygons that share one or more edges var areSortedByPlane: Bool { guard !isEmpty else { return true } let count = self.count for i in 0 ..< count - 1 { let p = self[i] let plane = p.plane var wasSame = true for j in (i + 1) ..< count { if self[j].plane.isEqual(to: plane) { if !wasSame { return false } } else { wasSame = false } } } return true } } extension Array where Element == Polygon { mutating func addPoint( _ point: Vector, material: Polygon.Material?, verticesByPosition: [Vector: [(faceNormal: Vector, Vertex)]] ) { var facing = [Polygon](), coplanar = [Vector: [Polygon]]() loop: for (i, polygon) in enumerated().reversed() { switch point.compare(with: polygon.plane) { case .front: facing.append(polygon) remove(at: i) case .coplanar: if polygon.vertices.contains(where: { $0.position == point }) { return } if polygon.containsPoint(point) { coplanar[polygon.plane.normal] = [polygon] break loop } coplanar[polygon.plane.normal, default: []].append(polygon) case .back, .spanning: continue } } // Find bounding edges func boundingEdges(in polygons: [Polygon]) -> [LineSegment] { var edges = [LineSegment]() for polygon in polygons { for edge in polygon.orderedEdges { if let index = edges.firstIndex(where: { $0.start == edge.end && $0.end == edge.start }) { edges.remove(at: index) } else { edges.append(edge) } } } return edges } // Create triangles from point to edges func addTriangles(with edges: [LineSegment], faceNormal: Vector?) { for edge in edges { guard let triangle = Polygon( points: [point, edge.start, edge.end], verticesByPosition: verticesByPosition, faceNormal: faceNormal, material: material ) else { assertionFailure() continue } append(triangle) } } // Extend polygons to include point guard facing.isEmpty else { addTriangles(with: boundingEdges(in: facing), faceNormal: nil) return } for (faceNormal, polygons) in coplanar { guard let polygon = polygons.first else { continue } addTriangles(with: boundingEdges(in: polygons).compactMap { let edgePlane = polygon.edgePlane(for: $0) if point.compare(with: edgePlane) == .front { return $0.inverted() } return nil }, faceNormal: faceNormal) } } } extension Polygon { // Create polygon from points with nearest matches in a vertex collection init?( points: T, verticesByPosition: [Vector: [(faceNormal: Vector, Vertex)]], faceNormal: Vector?, material: Polygon.Material? ) where T.Element == Vector { let faceNormal = faceNormal ?? faceNormalForPolygonPoints( Array(points), convex: true, closed: true ) let vertices = points.map { p -> Vertex in let matches = verticesByPosition[p] ?? [] var best: Vertex?, bestDot = 1.0 for (n, v) in matches { let dot = abs(1 - n.dot(faceNormal)) if dot <= bestDot { bestDot = dot best = v } } if bestDot == 1 { best?.normal = .zero } return best ?? Vertex(p) } self.init(vertices, material: material) } // Create polygon from vertices and face normal without performing validation // Vertices may be convex or concave, but are assumed to describe a non-degenerate polygon init( unchecked vertices: [Vertex], normal: Vector, isConvex: Bool?, sanitizeNormals: Bool, material: Material? ) { self.init( unchecked: vertices, plane: Plane(unchecked: normal, pointOnPlane: vertices[0].position), isConvex: isConvex, sanitizeNormals: sanitizeNormals, material: material, id: 0 ) } // Create polygon from vertices and (optional) plane without performing validation // Vertices may be convex or concave, but are assumed to describe a non-degenerate polygon // Vertices are assumed to be in anticlockwise order for the purpose of deriving the plane init( unchecked vertices: [Vertex], plane: Plane?, isConvex: Bool?, sanitizeNormals: Bool, material: Material?, id: Int = 0 ) { assert(!verticesAreDegenerate(vertices)) let points = vertices.map { $0.position } assert(isConvex == nil || pointsAreConvex(points) == isConvex) assert(sanitizeNormals || vertices.allSatisfy { $0.normal != .zero }) let plane = plane ?? Plane(unchecked: points, convex: isConvex, closed: true) let isConvex = isConvex ?? pointsAreConvex(points) self.storage = Storage( vertices: sanitizeNormals ? vertices.map { $0.with(normal: $0.normal == .zero ? plane.normal : $0.normal) } : vertices, plane: plane, isConvex: isConvex, material: material ) self.id = id } // Join touching polygons (without checking they are coplanar or share the same material) func merge(unchecked other: Polygon, ensureConvex: Bool) -> Polygon? { assert(material == other.material) assert(plane.isEqual(to: other.plane)) // get vertices let va = vertices let vb = other.vertices // find shared vertices var joins0, joins1: (Int, Int)? for i in va.indices { if let j = vb.firstIndex(where: { $0.isEqual(to: va[i]) }) { if joins0 == nil { joins0 = (i, j) } else if joins1 == nil { joins1 = (i, j) } else { // TODO: what if 3 or more points are joined? return nil } } } guard let (a0, b0) = joins0, let (a1, b1) = joins1 else { return nil } var result: [Vertex] if a1 == a0 + 1 { result = Array(va[(a1 + 1)...] + va[.. Plane { let tangent = edge.end - edge.start let normal = tangent.cross(plane.normal).normalized() return Plane(unchecked: normal, pointOnPlane: edge.start) } var edgePlanes: [Plane] { orderedEdges.map(edgePlane(for:)) } func compare(with plane: Plane) -> PlaneComparison { if self.plane.isEqual(to: plane) { return .coplanar } var comparison = PlaneComparison.coplanar for vertex in vertices { comparison = comparison.union(vertex.position.compare(with: plane)) if comparison == .spanning { break } } return comparison } // Create copy of polygon with specified id func with(id: Int) -> Polygon { var polygon = self polygon.id = id return polygon } } private extension Polygon { final class Storage: Hashable { let vertices: [Vertex] let plane: Plane let isConvex: Bool var material: Material? static func == (lhs: Storage, rhs: Storage) -> Bool { lhs === rhs || (lhs.vertices == rhs.vertices && lhs.material == rhs.material) } func hash(into hasher: inout Hasher) { hasher.combine(vertices) } init( vertices: [Vertex], plane: Plane, isConvex: Bool, material: Material? ) { self.vertices = vertices self.plane = plane self.isConvex = isConvex self.material = material } } } #if !swift(<5.7) extension Polygon.Storage: @unchecked Sendable {} #endif struct CodableMaterial: Codable { let value: Polygon.Material? init(_ value: Polygon.Material?) { self.value = value } enum CodingKeys: CodingKey { case string, int, data, color, nscoded } init(from decoder: Decoder) throws { if let container = try? decoder.container(keyedBy: CodingKeys.self) { if let string = try container.decodeIfPresent(String.self, forKey: .string) { self.value = string } else if let int = try container.decodeIfPresent(Int.self, forKey: .int) { self.value = int } else if let data = try container.decodeIfPresent(Data.self, forKey: .data) { self.value = data } else if let color = try container.decodeIfPresent(Color.self, forKey: .color) { self.value = color } else if let data = try container.decodeIfPresent(Data.self, forKey: .nscoded) { guard let value = NSKeyedUnarchiver.unarchiveObject(with: data) as? Polygon.Material else { throw DecodingError.dataCorruptedError( forKey: .nscoded, in: container, debugDescription: "Cannot decode material" ) } self.value = value } else { self.value = nil } } else { let container = try decoder.singleValueContainer() if let string = try? container.decode(String.self) { self.value = string } else if let int = try? container.decode(Int.self) { self.value = int } else { throw DecodingError.dataCorruptedError( in: container, debugDescription: "Cannot decode material" ) } } } func encode(to encoder: Encoder) throws { guard let value = value else { return } switch value { case let string as String: try string.encode(to: encoder) case let int as Int: try int.encode(to: encoder) case let color as Color: var container = encoder.container(keyedBy: CodingKeys.self) try container.encode(color, forKey: .color) case let data as Data: var container = encoder.container(keyedBy: CodingKeys.self) try container.encode(data, forKey: .data) case let object as NSCoding: let data = NSKeyedArchiver.archivedData(withRootObject: object) var container = encoder.container(keyedBy: CodingKeys.self) try container.encode(data, forKey: .nscoded) default: throw EncodingError.invalidValue(value, .init( codingPath: encoder.codingPath, debugDescription: "Cannot encode material of type \(type(of: value))" )) } } } ShapeScript-1.6.14/Euclid/Sources/Quaternion.swift000066400000000000000000000430771450355336000221020ustar00rootroot00000000000000// // Quaternion.swift // Euclid // // Created by Nick Lockwood on 10/09/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // import Foundation #if canImport(simd) import simd /// An orientation or rotation in 3D space. /// /// A quaternion can be created from a from a ``Rotation`` matrix, or directly from an axis vector and /// angle, or a from a set of 3 Euler angles (pitch, yaw and roll). /// /// In addition to being more compact than a 3x3 rotation matrix, quaternions also avoid a /// problem known as gymbal lock. public struct Quaternion: Sendable { var storage: simd_quatd /// The quaternion X component. public var x: Double { set { storage.vector.x = newValue } get { storage.vector.x } } /// The quaternion Y component. public var y: Double { set { storage.vector.y = newValue } get { storage.vector.y } } /// The quaternion Z component. public var z: Double { set { storage.vector.z = newValue } get { storage.vector.z } } /// The quaternion W component. public var w: Double { set { storage.vector.w = newValue } get { storage.vector.w } } } extension Quaternion: Hashable { public func hash(into hasher: inout Hasher) { hasher.combine(storage.vector) } } public extension Quaternion { /// Creates a quaternion from raw component values. init(_ x: Double, _ y: Double, _ z: Double, _ w: Double) { let vector = simd_normalize(simd_double4(x, y, z, w)) self.init(simd_quatd(vector: vector)) } /// The axis of rotation. var axis: Vector { guard abs(w - 1) > epsilon else { // if angle close to zero, direction is not important return .unitZ } return .init(-simd_axis(storage)) } /// The angle of rotation. var angle: Angle { .radians(simd_angle(storage)) } /// The magnitude of the quaternion. var length: Double { simd_length(storage) } /// The square of the length of the quaternion. This is less expensive to compute than the length itself. var lengthSquared: Double { simd_length_squared(storage.vector) } /// Computes the dot-product of this quaternion and another. /// - Parameter a: The quaternion with which to compute the dot product. /// - Returns: The dot product of the two quaternions. func dot(_ q: Quaternion) -> Double { simd_dot(storage, q.storage) } /// Returns the normalized quaternion. /// - Returns: The normalized quaternion (with a length of `1`) or ``zero`` if the length is `0`. func normalized() -> Quaternion { if storage.vector == .zero { return self } return .init(simd_normalize(storage)) } /// Performs a spherical interpolation between two quaternions. /// - Parameters: /// - q: A quaternion to interpolate with. /// - t: The normalized extent of interpolation, from 0 to 1. /// - Returns: The interpolated quaternion. func slerp(_ q: Quaternion, _ t: Double) -> Quaternion { .init(simd_slerp(storage, q.storage, t)) } /// Returns the reverse quaternion rotation. static prefix func - (q: Quaternion) -> Quaternion { .init(simd_inverse(q.storage)) } /// Returns the sum of two quaternion rotations. static func + (lhs: Quaternion, rhs: Quaternion) -> Quaternion { .init(lhs.storage + rhs.storage) } /// Adds the quaternion rotation on the right to the one on the left. static func += (lhs: inout Quaternion, rhs: Quaternion) { lhs.storage += rhs.storage } /// Returns the difference between two quaternion rotations,. static func - (lhs: Quaternion, rhs: Quaternion) -> Quaternion { .init(lhs.storage - rhs.storage) } /// Subtracts the quaternion rotation on the right from the one on the left. static func -= (lhs: inout Quaternion, rhs: Quaternion) { lhs.storage -= rhs.storage } /// Returns the product of two quaternions (i.e. the effect of rotating the left by the right). static func * (lhs: Quaternion, rhs: Quaternion) -> Quaternion { .init(lhs.storage * rhs.storage) } /// Multiplies the quaternion rotation on the left by the one on the right. static func *= (lhs: inout Quaternion, rhs: Quaternion) { lhs.storage *= rhs.storage } /// Returns a quaternion with its components multiplied by the specified value. static func * (lhs: Quaternion, rhs: Double) -> Quaternion { .init(lhs.storage * rhs) } /// Multiplies the components of the quaternion by the specified value. static func *= (lhs: inout Quaternion, rhs: Double) { lhs.storage *= rhs } /// Returns a quaternion with its components divided by the specified value. static func / (lhs: Quaternion, rhs: Double) -> Quaternion { .init(lhs.storage / rhs) } /// Divides the components of the vector by the specified value. static func /= (lhs: inout Quaternion, rhs: Double) { lhs.storage /= rhs } } extension Quaternion { init(unchecked x: Double, _ y: Double, _ z: Double, _ w: Double) { self.init(simd_quatd(vector: simd_double4(x, y, z, w))) assert(isNormalized || lengthSquared == 0) } init(unchecked axis: Vector, angle: Angle) { assert(axis.isNormalized) self.init(simd_quatd( angle: -angle.radians, axis: .init(axis.x, axis.y, axis.z) )) } } #else /// An orientation or rotation in 3D space. /// /// A quaternion can be created from a from a ``Rotation`` matrix, or directly from an axis vector and /// angle, or a from a set of 3 Euler angles (pitch, yaw and roll). /// /// In addition to being more compact than a 3x3 rotation matrix, quaternions also avoid a /// problem known as gymbal lock. public struct Quaternion: Hashable, Sendable { /// The quaternion component values. public var x, y, z, w: Double /// Creates a quaternion from raw component values. public init(_ x: Double, _ y: Double, _ z: Double, _ w: Double) { self.x = x self.y = y self.z = z self.w = w self = normalized() } } public extension Quaternion { /// The axis of rotation. var axis: Vector { let s = sqrt(1 - w * w) guard s > epsilon else { // if angle close to zero, direction is not important return .unitZ } return Vector(x, y, z) / -s } /// The angle of rotation. var angle: Angle { .radians(2 * acos(w)) } /// The magnitude of the quaternion. var length: Double { sqrt(lengthSquared) } /// The square of the length of the quaternion. This is less expensive to compute than the length itself. var lengthSquared: Double { dot(self) } /// Computes the dot-product of this quaternion and another. /// - Parameter a: The quaternion with which to compute the dot product. /// - Returns: The dot product of the two quaternions. func dot(_ q: Quaternion) -> Double { x * q.x + y * q.y + z * q.z + w * q.w } /// Returns the normalized quaternion. /// - Returns: The normalized quaternion (with a length of `1`) or ``zero`` if the length is `0`. func normalized() -> Quaternion { let lengthSquared = self.lengthSquared if lengthSquared == 0 || lengthSquared == 1 { return self } return self / sqrt(lengthSquared) } /// Performs a spherical linear interpolation between two quaternions. /// - Parameters: /// - q: The quaternion to interpolate towards. /// - t: The normalized extent of interpolation, from 0 to 1. /// - Returns: The interpolated quaternion. func slerp(_ q: Quaternion, _ t: Double) -> Quaternion { let dot = max(-1, min(1, self.dot(q))) if abs(abs(dot) - 1) < epsilon { return (self + (q - self) * t).normalized() } let theta = acos(dot) * t let t1 = self * cos(theta) let t2 = (q - (self * dot)).normalized() * sin(theta) return t1 + t2 } /// Returns the reverse quaternion rotation. static prefix func - (q: Quaternion) -> Quaternion { .init(unchecked: q.x, q.y, q.z, -q.w) } /// Returns the sum of two quaternion rotations. static func + (lhs: Quaternion, rhs: Quaternion) -> Quaternion { .init(unchecked: lhs.x + rhs.x, lhs.y + rhs.y, lhs.z + rhs.z, lhs.w + rhs.w) } /// Adds the quaternion rotation on the right to the one on the left. static func += (lhs: inout Quaternion, rhs: Quaternion) { lhs = lhs + rhs } /// Returns the difference between two quaternion rotations,. static func - (lhs: Quaternion, rhs: Quaternion) -> Quaternion { .init(unchecked: lhs.x - rhs.x, lhs.y - rhs.y, lhs.z - rhs.z, lhs.w - rhs.w) } /// Subtracts the quaternion rotation on the right from the one on the left. static func -= (lhs: inout Quaternion, rhs: Quaternion) { lhs = lhs - rhs } /// Returns the product of two quaternions (i.e. the effect of rotating the left by the right). static func * (lhs: Quaternion, rhs: Quaternion) -> Quaternion { .init( unchecked: lhs.w * rhs.x + lhs.x * rhs.w + lhs.y * rhs.z - lhs.z * rhs.y, lhs.w * rhs.y + lhs.y * rhs.w + lhs.z * rhs.x - lhs.x * rhs.z, lhs.w * rhs.z + lhs.z * rhs.w + lhs.x * rhs.y - lhs.y * rhs.x, lhs.w * rhs.w - lhs.x * rhs.x - lhs.y * rhs.y - lhs.z * rhs.z ) } /// Multiplies the quaternion rotation on the left by the one on the right. static func *= (lhs: inout Quaternion, rhs: Quaternion) { lhs = lhs * rhs } /// Returns a quaternion with its components multiplied by the specified value. static func * (lhs: Quaternion, rhs: Double) -> Quaternion { .init(unchecked: lhs.x * rhs, lhs.y * rhs, lhs.z * rhs, lhs.w * rhs) } /// Multiplies the components of the quaternion by the specified value. static func *= (lhs: inout Quaternion, rhs: Double) { lhs.x *= rhs lhs.y *= rhs lhs.z *= rhs lhs.w *= rhs } /// Returns a quaternion with its components divided by the specified value. static func / (lhs: Quaternion, rhs: Double) -> Quaternion { .init(unchecked: lhs.x / rhs, lhs.y / rhs, lhs.z / rhs, lhs.w / rhs) } /// Divides the components of the vector by the specified value. static func /= (lhs: inout Quaternion, rhs: Double) { lhs.x /= rhs lhs.y /= rhs lhs.z /= rhs lhs.w /= rhs } } extension Quaternion { init(unchecked x: Double, _ y: Double, _ z: Double, _ w: Double) { self.x = x self.y = y self.z = z self.w = w assert(isNormalized || lengthSquared == 0) } init(unchecked axis: Vector, angle: Angle) { assert(axis.isNormalized) let r = -angle / 2 let a = axis * sin(r) self.init(unchecked: a.x, a.y, a.z, cos(r)) } } #endif extension Quaternion: Codable { private enum CodingKeys: CodingKey { case x, y, z, w } /// Creates a new quaternion by decoding from the given decoder. /// - Parameter decoder: The decoder to read data from. public init(from decoder: Decoder) throws { if var container = try? decoder.unkeyedContainer() { switch container.count { case 0: self = .identity default: try self.init(from: &container) } } else { let container = try decoder.container(keyedBy: CodingKeys.self) let x = try container.decodeIfPresent(Double.self, forKey: .x) ?? 0 let y = try container.decodeIfPresent(Double.self, forKey: .y) ?? 0 let z = try container.decodeIfPresent(Double.self, forKey: .z) ?? 0 let w = try container.decodeIfPresent(Double.self, forKey: .w) ?? 1 self.init(x, y, z, w) } } /// Encodes this quaternion into the given encoder. /// - Parameter encoder: The encoder to write data to. public func encode(to encoder: Encoder) throws { var container = encoder.unkeyedContainer() if self == .identity { return } try encode(to: &container) } } public extension Quaternion { /// The zero quaternion. static let zero = Quaternion(unchecked: 0, 0, 0, 0) /// The identity quaternion (i.e. no rotation). static let identity = Quaternion(unchecked: 0, 0, 0, 1) /// Creates a quaternion from an axis and angle. /// - Parameters: /// - axis: A vector defining the axis of rotation. /// - angle: The angle of rotation around the axis. init?(axis: Vector, angle: Angle) { let length = axis.length guard length.isFinite, length > epsilon else { return nil } self.init(unchecked: axis / length, angle: angle) } /// Creates a quaternion representing a rotation around the X axis. /// - Parameter rotation: The angle to rotate by. static func pitch(_ rotation: Angle) -> Quaternion { let r = -rotation.radians * 0.5 return .init(unchecked: sin(r), 0, 0, cos(r)) } /// Creates a quaternion representing a rotation around the Y axis. /// - Parameter rotation: The angle to rotate by. static func yaw(_ rotation: Angle) -> Quaternion { let r = -rotation.radians * 0.5 return .init(unchecked: 0, sin(r), 0, cos(r)) } /// Creates a quaternion representing a rotation around the Z axis. /// - Parameter rotation: The angle to rotate by. static func roll(_ rotation: Angle) -> Quaternion { let r = -rotation.radians * 0.5 return .init(unchecked: 0, 0, sin(r), cos(r)) } /// Creates a rotation from Euler angles applied in roll/yaw/pitch order. /// - Parameters: /// - roll: The angle of rotation around the Z axis. This is applied first. /// - yaw: The angle of rotation around the Y axis. This is applied second. /// - pitch: The angle of rotation around the X axis. This is applied last. init(roll: Angle = .zero, yaw: Angle = .zero, pitch: Angle = .zero) { self = .roll(roll) * .yaw(yaw) * .pitch(pitch) } /// Creates a quaternion from a rotation matrix. /// - Parameter rotation: A rotation matrix. init(_ rotation: Rotation) { self = rotation.quaternion } /// Creates a quaternion from raw components. /// - Parameter components: An array of 4 floating-point values. init?(_ components: [Double]) { guard components.count == 4 else { return nil } self.init(components[0], components[1], components[2], components[3]) } /// Quaternion has no effect. var isIdentity: Bool { abs(1 - w) < epsilon } /// A Boolean value that indicates whether the quaternion has a length of `1`. var isNormalized: Bool { abs(lengthSquared - 1) < epsilon } /// An array containing the raw components of the quaternion. var components: [Double] { [x, y, z, w] } /// The angle of rotation around the Z-axis. var roll: Angle { -.atan2(y: 2 * (w * z + x * y), x: 1 - 2 * (y * y + z * z)) } /// The angle of rotation around the Y-axis. var yaw: Angle { -.asin(min(1, max(-1, 2 * (w * y - z * x)))) } /// The angle of rotation around the X-axis. var pitch: Angle { -.atan2(y: 2 * (w * x + y * z), x: 1 - 2 * (x * x + y * y)) } } extension Quaternion: UnkeyedCodable { func encode(to container: inout UnkeyedEncodingContainer) throws { try container.encode(x) try container.encode(y) try container.encode(z) try container.encode(w) } init(from container: inout UnkeyedDecodingContainer) throws { let x = try container.decode(Double.self) let y = try container.decode(Double.self) let z = try container.decode(Double.self) let w = try container.decode(Double.self) self.init(x, y, z, w) } } extension Quaternion { // Approximate equality func isEqual(to other: Quaternion, withPrecision p: Double = epsilon) -> Bool { w.isEqual(to: other.w, withPrecision: p) && x.isEqual(to: other.x, withPrecision: p) && y.isEqual(to: other.y, withPrecision: p) && z.isEqual(to: other.z, withPrecision: p) } } ShapeScript-1.6.14/Euclid/Sources/Rotation.swift000066400000000000000000000275311450355336000215510ustar00rootroot00000000000000// // Rotation.swift // Euclid // // Created by Nick Lockwood on 04/01/2020. // Copyright © 2020 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // import Foundation /// A struct that represents an orientation or rotation in 3D space. /// /// Internally, a rotation is stored as a 3x3 matrix, but that's an implementation detail that may change in future. /// A rotation can be converted to and from an axis vector and angle, or a set of 3 Euler angles (pitch, yaw and roll). public struct Rotation: Hashable, Sendable { var quaternion: Quaternion } extension Rotation: Codable { private enum CodingKeys: CodingKey { case axis, x, y, z, radians } private struct Matrix { var m11, m12, m13, m21, m22, m23, m31, m32, m33: Double // https://www.euclideanspace.com/maths/algebra/matrix/functions/determinant/threeD/ private var determinant: Double { m11 * m22 * m33 + m12 * m23 * m31 + m13 * m21 * m32 - m11 * m23 * m32 - m12 * m21 * m33 - m13 * m22 * m31 } private var isRotationMatrix: Bool { let epsilon = 0.01 if abs(determinant - 1) > epsilon { return false } // check transpose == inverse if abs(m22 * m33 - m23 * m32 - m11) > epsilon { return false } if abs(m13 * m32 - m12 * m33 - m21) > epsilon { return false } if abs(m12 * m23 - m13 * m22 - m31) > epsilon { return false } if abs(m23 * m31 - m21 * m33 - m12) > epsilon { return false } if abs(m11 * m33 - m13 * m31 - m22) > epsilon { return false } if abs(m13 * m21 - m11 * m23 - m32) > epsilon { return false } if abs(m21 * m32 - m22 * m31 - m13) > epsilon { return false } if abs(m12 * m31 - m11 * m32 - m23) > epsilon { return false } if abs(m11 * m22 - m12 * m21 - m33) > epsilon { return false } return true } init(from container: inout UnkeyedDecodingContainer) throws { self.m11 = try container.decode(Double.self) self.m12 = try container.decode(Double.self) self.m13 = try container.decode(Double.self) self.m21 = try container.decode(Double.self) self.m22 = try container.decode(Double.self) self.m23 = try container.decode(Double.self) self.m31 = try container.decode(Double.self) self.m32 = try container.decode(Double.self) self.m33 = try container.decode(Double.self) guard isRotationMatrix else { throw DecodingError.dataCorruptedError( in: container, debugDescription: "Not a rotation matrix" ) } } } private init(_ r: Matrix) { let x = sqrt(max(0, 1 + r.m11 - r.m22 - r.m33)) / 2 let y = sqrt(max(0, 1 - r.m11 + r.m22 - r.m33)) / 2 let z = sqrt(max(0, 1 - r.m11 - r.m22 + r.m33)) / 2 let w = sqrt(max(0, 1 + r.m11 + r.m22 + r.m33)) / 2 self.init(Quaternion( x * (x * (r.m32 - r.m23) < 0 ? 1 : -1), y * (y * (r.m13 - r.m31) < 0 ? 1 : -1), z * (z * (r.m21 - r.m12) < 0 ? 1 : -1), w )) } /// Creates a new rotation by decoding from the given decoder. /// - Parameter decoder: The decoder to read data from. public init(from decoder: Decoder) throws { guard var container = try? decoder.unkeyedContainer() else { let container = try decoder.container(keyedBy: CodingKeys.self) let angle = try container.decodeIfPresent(Angle.self, forKey: .radians) var axis = try container.decodeIfPresent(Vector.self, forKey: .axis) if let x = try container.decodeIfPresent(Double.self, forKey: .x) { let y = try container.decode(Double.self, forKey: .y) let z = try container.decode(Double.self, forKey: .z) axis = Vector(x, y, z) } self.init(unchecked: axis?.normalized() ?? .unitZ, angle: angle ?? .zero) return } switch container.count ?? 0 { case 0: self = .identity case 1: let roll = try container.decode(Angle.self) self.init(roll: roll) case 2 ... 3: let pitch = try container.decode(Angle.self) let yaw = try container.decode(Angle.self) let roll = try container.decode(Angle.self) self.init(pitch: pitch, yaw: yaw, roll: roll) case 4: let axis = try Vector(from: &container).normalized() let angle = try container.decode(Angle.self) self.init(unchecked: axis, angle: angle) default: try self.init(Matrix(from: &container)) } } /// Encodes this rotation into the given encoder. /// - Parameter encoder: The encoder to write data to. public func encode(to encoder: Encoder) throws { var container = encoder.unkeyedContainer() if self == .identity { return } try axis.encode(to: &container, skipZ: false) try container.encode(angle) } } public extension Rotation { /// The identity rotation (i.e. no rotation). static let identity = Rotation() /// Creates a rotation around the X axis. /// - Parameter rotation: The angle to rotate by. static func pitch(_ rotation: Angle) -> Rotation { .init(.pitch(rotation)) } /// Creates a rotation around the Y axis. /// - Parameter rotation: The angle to rotate by. static func yaw(_ rotation: Angle) -> Rotation { .init(.yaw(rotation)) } /// Creates a rotation around the Z axis. /// - Parameter rotation: The angle to rotate by. static func roll(_ rotation: Angle) -> Rotation { .init(.roll(rotation)) } /// Creates a new identity rotation. init() { self.init(.identity) } /// Creates a rotation from an axis and angle. /// - Parameters: /// - axis: A vector defining the axis of rotation. /// - end: The angle of rotation around the axis. init?(axis: Vector, angle: Angle) { guard let quaternion = Quaternion(axis: axis, angle: angle) else { return nil } self.init(quaternion) } /// Creates a rotation from a quaternion. /// - Parameter quaternion: A quaternion defining a rotation. init(_ quaternion: Quaternion) { self.quaternion = quaternion } /// Creates a rotation from Euler angles applied in pitch/yaw/roll order. /// - Parameters: /// - pitch: The angle of rotation around the X axis. This is applied first. /// - yaw: The angle of rotation around the Y axis. This is applied second. /// - roll: The angle of rotation around the Z axis. This is applied last. init(pitch: Angle, yaw: Angle = .zero, roll: Angle = .zero) { self = .pitch(pitch) * .yaw(yaw) * .roll(roll) } /// Creates a rotation from Euler angles applied in yaw/pitch/roll order. /// - Parameters: /// - yaw: The angle of rotation around the Y axis. This is applied first. /// - pitch: The angle of rotation around the X axis. This is applied second. /// - roll: The angle of rotation around the Z axis. This is applied last. init(yaw: Angle, pitch: Angle = .zero, roll: Angle = .zero) { self = .yaw(yaw) * .pitch(pitch) * .roll(roll) } /// Creates a rotation from Euler angles applied in roll/yaw/pitch order. /// - Parameters: /// - roll: The angle of rotation around the Z axis. This is applied first. /// - yaw: The angle of rotation around the Y axis. This is applied second. /// - pitch: The angle of rotation around the X axis. This is applied last. init(roll: Angle, yaw: Angle = .zero, pitch: Angle = .zero) { self = .roll(roll) * .yaw(yaw) * .pitch(pitch) } /// Rotation has no effect. var isIdentity: Bool { quaternion.isIdentity } /// The angle of rotation around the X-axis. var pitch: Angle { quaternion.pitch } /// The angle of rotation around the Y-axis. var yaw: Angle { quaternion.yaw } /// The angle of rotation around the Z-axis. var roll: Angle { quaternion.roll } /// Axis of rotation var axis: Vector { quaternion.axis } /// The angle of rotation. var angle: Angle { quaternion.angle } /// A normalized direction vector pointing rightwards relative to the current rotation. var right: Vector { Vector.unitX.rotated(by: self) } /// A normalized direction vector pointing upwards relative to the current rotation. var up: Vector { Vector.unitY.rotated(by: self) } /// A normalized direction vector pointing forwards relative to the current rotation. var forward: Vector { Vector.unitZ.rotated(by: self) } /// Performs a spherical linear interpolation between two rotations. /// - Parameters: /// - r: The rotation to interpolate towards. /// - t: The normalized extent of interpolation, from 0 to 1. /// - Returns: The interpolated rotation. func slerp(_ r: Rotation, _ t: Double) -> Rotation { .init(quaternion.slerp(r.quaternion, t)) } /// Returns the reverse (aka transpose) rotation. static prefix func - (rhs: Rotation) -> Rotation { .init(-rhs.quaternion) } /// Combines two rotations to get the cumulative rotation. static func * (lhs: Rotation, rhs: Rotation) -> Rotation { .init(lhs.quaternion * rhs.quaternion) } /// Combines with the specified rotation. static func *= (lhs: inout Rotation, rhs: Rotation) { lhs.quaternion *= rhs.quaternion } /// Returns a rotation multiplied by the specified value. static func * (lhs: Rotation, rhs: Double) -> Rotation { .init(unchecked: lhs.axis, angle: lhs.angle * rhs) } /// Multiplies the rotation angle by the specified value. static func *= (lhs: inout Rotation, rhs: Double) { lhs = lhs * rhs } /// Returns a rotation divided by the specified value. static func / (lhs: Rotation, rhs: Double) -> Rotation { .init(unchecked: lhs.axis, angle: lhs.angle / rhs) } /// Divides the rotation angle by the specified value. static func /= (lhs: inout Rotation, rhs: Double) { lhs = lhs / rhs } } extension Rotation { init(unchecked axis: Vector, angle: Angle) { self.init(.init(unchecked: axis, angle: angle)) } // Approximate equality func isEqual(to other: Rotation, withPrecision p: Double = epsilon) -> Bool { quaternion.isEqual(to: other.quaternion, withPrecision: p) } } ShapeScript-1.6.14/Euclid/Sources/Stretchable.swift000066400000000000000000000056251450355336000222120ustar00rootroot00000000000000// // Stretchable.swift // Euclid // // Created by Nick Lockwood on 21/11/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // /// Protocol for stretchable types. protocol Stretchable { /// Returns a stretched copy of the value. /// - Parameters /// - scaleFactor: A scale factor to apply to the value. /// - along: The axis along which to apply the scale factor. func stretched(by scaleFactor: Double, along: Line) -> Self } extension Stretchable { /// Stretch the value in place. /// - Parameters /// - scaleFactor: A scale factor to apply to the value. /// - along: The axis along which to apply the scale factor. mutating func stretch(by scaleFactor: Double, along: Line) { self = stretched(by: scaleFactor, along: along) } } extension Path: Stretchable { func stretched(by scaleFactor: Double, along: Line) -> Path { Path( unchecked: points.map { $0.stretched(by: scaleFactor, along: along) }, plane: nil, subpathIndices: subpathIndices ) } } extension PathPoint: Stretchable { func stretched(by scaleFactor: Double, along: Line) -> PathPoint { PathPoint( position: position.stretched(by: scaleFactor, along: along), texcoord: texcoord, color: color, isCurved: isCurved ) } } extension Vector: Stretchable { func stretched(by scaleFactor: Double, along: Line) -> Vector { self + project(onto: along) * (scaleFactor - 1) } } extension Array where Element: Stretchable { func stretched(by scaleFactor: Double, along: Line) -> Self { map { $0.stretched(by: scaleFactor, along: along) } } } ShapeScript-1.6.14/Euclid/Sources/Transforms.swift000066400000000000000000000463321450355336000221100ustar00rootroot00000000000000// // Transforms.swift // Euclid // // Created by Nick Lockwood on 03/07/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // import Foundation /// Protocol for transformable types. public protocol Transformable { /// Returns a rotated copy of the value. /// - Parameter rotation: A rotation to apply to the value. func rotated(by rotation: Rotation) -> Self /// Returns a translated copy of the value. /// - Parameter offset: An offset vector to apply to the value. func translated(by offset: Vector) -> Self /// Returns a scaled copy of the value. /// - Parameter scale: A vector scale factor to apply to the value. func scaled(by scale: Vector) -> Self /// Returns a scaled copy of the value. /// - Parameter factor: A uniform scale factor to apply to the value. func scaled(by factor: Double) -> Self /// Returns a transformed copy of the value. /// - Parameter t: A transform to apply to the value. func transformed(by transform: Transform) -> Self } public extension Transformable { func transformed(by transform: Transform) -> Self { scaled(by: transform.scale) .rotated(by: transform.rotation) .translated(by: transform.offset) } /// Rotate the value in place. /// - Parameter rotation: A rotation to apply to the value. mutating func rotate(by rotation: Rotation) { self = rotated(by: rotation) } /// Translate the value in place. /// - Parameter offset: A translation to apply to the value. mutating func translate(by offset: Vector) { self = translated(by: offset) } /// Scale the value in place. /// - Parameter scale: A vector scale factor to apply to the value. mutating func scale(by scale: Vector) { self = scaled(by: scale) } /// Scale the value in place. /// - Parameter scale: A uniform scale factor to apply to the value. mutating func scale(by factor: Double) { self = scaled(by: factor) } /// Transform the value in place. /// - Parameter transform: A transform to apply to the value. mutating func transform(by transform: Transform) { self = transformed(by: transform) } /// Returns a rotated copy of the value. /// - Parameter quaternion: A rotation to apply to the value. @_disfavoredOverload func rotated(by quaternion: Quaternion) -> Self { rotated(by: Rotation(quaternion)) } /// Rotate the value in place. /// - Parameter quaternion: A rotation to apply to the value. @_disfavoredOverload mutating func rotate(by quaternion: Quaternion) { self = rotated(by: quaternion) } /// Returns a transformed copy of the value. static func * (lhs: Self, rhs: Transform) -> Self { lhs.transformed(by: rhs) } /// Transform the value in place. static func *= (lhs: inout Self, rhs: Transform) { lhs.transform(by: rhs) } } /// A combined rotation, position, and scale that can be applied to a 3D object. /// /// Working with intermediate transform objects instead of directly updating the vertex positions of a mesh /// is more efficient and avoids a buildup of rounding errors. public struct Transform: Hashable { /// The translation or position component of the transform. public var offset: Vector /// The rotation or orientation component of the transform. public var rotation: Rotation /// The size or scale component of the transform. public var scale: Vector { didSet { scale = scale.clamped() } } /// Creates a new transform. /// - Parameters: /// - offset: The translation or position component of the transform. Defaults to zero (no offset). /// - rotation: The translation or position component of the transform. Defaults to identity (no rotation). /// - scale: The scaling component of the transform. Defaults to one (no scale adjustment). public init(offset: Vector? = nil, rotation: Rotation? = nil, scale: Vector? = nil) { self.offset = offset ?? .zero self.rotation = rotation ?? .identity self.scale = scale?.clamped() ?? .one } } extension Transform: Codable { private enum CodingKeys: CodingKey { case offset, rotation, scale } /// Creates a new transform by decoding from the given decoder. /// - Parameter decoder: The decoder to read data from. public init(from decoder: Decoder) throws { let container = try decoder.container(keyedBy: CodingKeys.self) let offset = try container.decodeIfPresent(Vector.self, forKey: .offset) let rotation = try container.decodeIfPresent(Rotation.self, forKey: .rotation) let scale = try container.decodeIfPresent(Vector.self, forKey: .scale) self.init(offset: offset, rotation: rotation, scale: scale) } /// Encodes this transform into the given encoder. /// - Parameter encoder: The encoder to write data to. public func encode(to encoder: Encoder) throws { var container = encoder.container(keyedBy: CodingKeys.self) try offset.isZero ? () : container.encode(offset, forKey: .offset) try rotation.isIdentity ? () : container.encode(rotation, forKey: .rotation) try scale.isOne ? () : container.encode(scale, forKey: .scale) } } extension Transform: Transformable { public func rotated(by rotation: Rotation) -> Transform { Transform( offset: offset, rotation: self.rotation * rotation, scale: scale ) } public func translated(by offset: Vector) -> Transform { Transform( offset: self.offset + offset.scaled(by: scale).rotated(by: rotation), rotation: rotation, scale: scale ) } public func scaled(by scale: Vector) -> Transform { Transform( offset: offset, rotation: rotation, scale: self.scale.scaled(by: scale) ) } public func scaled(by factor: Double) -> Transform { Transform( offset: offset, rotation: rotation, scale: scale * factor ) } public func transformed(by transform: Transform) -> Transform { transform .translated(by: offset) .scaled(by: scale) .rotated(by: rotation) } } public extension Transform { /// The identity transform (i.e. no transform). static let identity = Transform() /// Creates a offset transform. /// - Parameter offset: An offset distance. static func offset(_ offset: Vector) -> Transform { .init(offset: offset) } /// Creates a rotation transform. /// - Parameter rotation: A rotation to apply. static func rotation(_ rotation: Rotation) -> Transform { .init(rotation: rotation) } /// Creates a scale transform. /// - Parameter scale: A vector scale factor apply. static func scale(_ scale: Vector) -> Transform { .init(scale: scale) } /// Creates a uniform scale transform. /// - Parameter factor: A uniform scale factor to apply. static func scale(_ scale: Double) -> Transform { .init(scale: Vector(size: scale)) } /// Transform has no effect. var isIdentity: Bool { rotation.isIdentity && offset.isZero && scale.isOne } /// Does the transform apply a mirror operation (negative scale)? var isFlipped: Bool { isFlippedScale(scale) } } extension Mesh: Transformable { public func translated(by v: Vector) -> Mesh { v.isZero ? self : Mesh( unchecked: polygons.translated(by: v), bounds: boundsIfSet?.translated(by: v), isConvex: isKnownConvex, isWatertight: watertightIfSet, submeshes: submeshesIfEmpty ) } public func rotated(by r: Rotation) -> Mesh { r.isIdentity ? self : Mesh( unchecked: polygons.rotated(by: r), bounds: nil, isConvex: isKnownConvex, isWatertight: watertightIfSet, submeshes: submeshesIfEmpty ) } public func scaled(by v: Vector) -> Mesh { if v.x == v.y, v.y == v.z { // optimization - avoids scaling normals return scaled(by: v.x) } return Mesh( unchecked: polygons.scaled(by: v), bounds: boundsIfSet?.scaled(by: v), isConvex: isKnownConvex, isWatertight: watertightIfSet, submeshes: submeshesIfEmpty ) } public func scaled(by f: Double) -> Mesh { f.isEqual(to: 1, withPrecision: epsilon) ? self : Mesh( unchecked: polygons.scaled(by: f), bounds: boundsIfSet?.scaled(by: f), isConvex: isKnownConvex, isWatertight: watertightIfSet, submeshes: submeshesIfEmpty ) } /// Returns a transformed copy of the mesh. /// - Parameter t: A transform to apply to the mesh. public func transformed(by t: Transform) -> Mesh { t.isIdentity ? self : Mesh( unchecked: polygons.transformed(by: t), bounds: boundsIfSet.flatMap { t.rotation.isIdentity ? $0.transformed(by: t) : nil }, isConvex: isKnownConvex, isWatertight: watertightIfSet, submeshes: submeshesIfEmpty ) } } extension Polygon: Transformable { public func translated(by v: Vector) -> Polygon { v.isZero ? self : Polygon( unchecked: vertices.translated(by: v), normal: plane.normal, isConvex: isConvex, sanitizeNormals: false, material: material ) } public func rotated(by r: Rotation) -> Polygon { r.isIdentity ? self : Polygon( unchecked: vertices.rotated(by: r), normal: plane.normal.rotated(by: r), isConvex: isConvex, sanitizeNormals: false, material: material ) } public func scaled(by v: Vector) -> Polygon { if v.x == v.y, v.y == v.z { // optimization - avoids scaling normals return scaled(by: v.x) } let v = v.clamped() let vertices = self.vertices.scaled(by: v) let vn = Vector(1 / v.x, 1 / v.y, 1 / v.z) return Polygon( unchecked: isFlippedScale(v) ? vertices.reversed() : vertices, normal: plane.normal.scaled(by: vn).normalized(), isConvex: nil, sanitizeNormals: false, material: material ) } public func scaled(by f: Double) -> Polygon { if f.isEqual(to: 1, withPrecision: epsilon) { return self } let f = f.clamped() let vertices = self.vertices.scaled(by: f) return Polygon( unchecked: f < 0 ? vertices.reversed() : vertices, normal: f < 0 ? -plane.normal : plane.normal, isConvex: isConvex, sanitizeNormals: false, material: material ) } } extension LineSegment: Transformable { public func translated(by v: Vector) -> Self { .init(unchecked: start.translated(by: v), end.translated(by: v)) } public func rotated(by r: Rotation) -> Self { .init(unchecked: start.rotated(by: r), end.rotated(by: r)) } public func scaled(by v: Vector) -> Self { .init(unchecked: start.scaled(by: v), end.scaled(by: v)) } public func scaled(by f: Double) -> Self { .init(unchecked: start.scaled(by: f), end.scaled(by: f)) } } extension Vertex: Transformable { public func translated(by v: Vector) -> Vertex { Vertex(unchecked: position + v, normal, texcoord, color) } public func rotated(by q: Rotation) -> Vertex { Vertex( unchecked: position.rotated(by: q), normal.rotated(by: q), texcoord, color ) } public func scaled(by v: Vector) -> Vertex { let vn = Vector(1 / v.x, 1 / v.y, 1 / v.z) return Vertex( unchecked: position.scaled(by: v), normal.scaled(by: vn).normalized(), texcoord, color ) } public func scaled(by f: Double) -> Vertex { Vertex( unchecked: position * f, f < 0 ? -normal : normal, texcoord, color ) } } extension Vector: Transformable { public func translated(by v: Vector) -> Vector { self + v } public func rotated(by r: Rotation) -> Vector { let q = r.quaternion let qv = Vector(q.x, q.y, q.z) let uv = qv.cross(self) let uuv = qv.cross(uv) return self + (uv * 2 * q.w) + (uuv * 2) } public func scaled(by v: Vector) -> Vector { Vector(x * v.x, y * v.y, z * v.z) } public func scaled(by factor: Double) -> Vector { self * factor } } extension PathPoint: Transformable { public func translated(by v: Vector) -> PathPoint { PathPoint( position + v, texcoord: texcoord, color: color, isCurved: isCurved ) } public func rotated(by r: Rotation) -> PathPoint { PathPoint( position.rotated(by: r), texcoord: texcoord, color: color, isCurved: isCurved ) } public func scaled(by v: Vector) -> PathPoint { PathPoint( position.scaled(by: v), texcoord: texcoord, color: color, isCurved: isCurved ) } public func scaled(by f: Double) -> PathPoint { PathPoint( position * f, texcoord: texcoord, color: color, isCurved: isCurved ) } public func transformed(by t: Transform) -> PathPoint { PathPoint( position.transformed(by: t), texcoord: texcoord, color: color, isCurved: isCurved ) } } extension Path: Transformable { public func translated(by v: Vector) -> Path { Path( unchecked: points.translated(by: v), plane: plane?.translated(by: v), subpathIndices: subpathIndices ) } public func rotated(by r: Rotation) -> Path { Path( unchecked: points.rotated(by: r), plane: nil, // Avoids loss of precision from rotating plane subpathIndices: subpathIndices ) } public func scaled(by v: Vector) -> Path { let v = v.clamped() return Path( unchecked: points.scaled(by: v), plane: plane?.scaled(by: v), subpathIndices: subpathIndices ) } public func scaled(by f: Double) -> Path { let f = f.clamped() return Path( unchecked: points.scaled(by: f), plane: plane?.scaled(by: f), subpathIndices: subpathIndices ) } public func transformed(by t: Transform) -> Path { Path( unchecked: points.transformed(by: t), plane: plane?.transformed(by: t), subpathIndices: subpathIndices ) } } extension Plane: Transformable { public func translated(by v: Vector) -> Plane { Plane(unchecked: normal, pointOnPlane: normal * w + v) } public func rotated(by r: Rotation) -> Plane { Plane(unchecked: normal.rotated(by: r), w: w) } public func scaled(by v: Vector) -> Plane { if v.x == v.y, v.y == v.z { return scaled(by: v.x) } let v = v.clamped() let p = (normal * w).scaled(by: v) let vn = Vector(1 / v.x, 1 / v.y, 1 / v.z) return Plane(unchecked: normal.scaled(by: vn).normalized(), pointOnPlane: p) } public func scaled(by f: Double) -> Plane { Plane(unchecked: normal, w: w * f.clamped()) } } extension Bounds: Transformable { public func translated(by v: Vector) -> Bounds { Bounds(min: min + v, max: max + v) } /// Returns a rotated copy of the bounds. /// - Parameter rotation: A quaternion to apply to the bounds. /// /// > Note: Because a bounds must be axially-aligned, rotating by an angle that is not a multiple of /// 90 degrees will result in the bounds being increased in size. Rotating it back again will not reduce /// the size, so this is a potentially irreversible operation. In general, after rotating a shape it is better /// to recalculate the bounds rather than trying to rotate the previous bounds. public func rotated(by rotation: Rotation) -> Bounds { isEmpty ? self : Bounds(points: corners.rotated(by: rotation)) } public func scaled(by v: Vector) -> Bounds { let v = v.clamped() return isEmpty ? self : Bounds(min.scaled(by: v), max.scaled(by: v)) } public func scaled(by f: Double) -> Bounds { let f = f.clamped() return isEmpty ? self : Bounds(min * f, max * f) } } extension Array: Transformable where Element: Transformable { public func translated(by v: Vector) -> [Element] { v.isZero ? self : map { $0.translated(by: v) } } public func rotated(by r: Rotation) -> [Element] { r.isIdentity ? self : map { $0.rotated(by: r) } } public func scaled(by v: Vector) -> [Element] { v.isUniform ? scaled(by: v.x) : map { $0.scaled(by: v) } } public func scaled(by f: Double) -> [Element] { f.isEqual(to: 1, withPrecision: epsilon) ? self : map { $0.scaled(by: f) } } public func transformed(by t: Transform) -> [Element] { if t.scale.isOne { if t.offset == .zero { return rotated(by: t.rotation) } else if t.isIdentity { return translated(by: t.offset) } } else if t.rotation == .identity, t.offset == .zero { return scaled(by: t.scale) } return map { $0.transformed(by: t) } } } private extension Double { func clamped() -> Double { self < 0 ? min(self, -scaleLimit) : max(self, scaleLimit) } } private extension Vector { func clamped() -> Self { Self(x.clamped(), y.clamped(), z.clamped()) } } ShapeScript-1.6.14/Euclid/Sources/Utilities.swift000066400000000000000000000553131450355336000217240ustar00rootroot00000000000000// // Utilities.swift // Euclid // // Created by Nick Lockwood on 03/07/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // import Foundation #if swift(<5.7) public protocol Sendable {} #endif // Tolerance used for calculating approximate equality let epsilon: Double = 1e-8 // Plane equality threshold let planeEpsilon: Double = 1e-6 // Smallest valid scale factor let scaleLimit: Double = 1e-8 // Round-off floating point values to simplify equality checks func quantize(_ value: Double) -> Double { let precision = 1e-12 return (value / precision).rounded() * precision } extension Double { func isEqual(to other: Double, withPrecision p: Double) -> Bool { self == other || abs(self - other) < p } } // MARK: Vertex utilities func verticesAreDegenerate(_ vertices: [Vertex]) -> Bool { guard vertices.count > 2 else { return true } let positions = vertices.map { $0.position } return pointsAreDegenerate(positions) || pointsAreSelfIntersecting(positions) } func verticesAreConvex(_ vertices: [Vertex]) -> Bool { guard vertices.count > 3 else { return vertices.count > 2 } return pointsAreConvex(vertices.map { $0.position }) } func verticesAreCoplanar(_ vertices: [Vertex]) -> Bool { if vertices.count < 4 { return true } return pointsAreCoplanar(vertices.map { $0.position }) } func triangulateVertices( _ vertices: [Vertex], plane: Plane?, isConvex: Bool?, sanitizeNormals: Bool, material: Mesh.Material?, id: Int, flipped: Bool = false ) -> [Polygon] { guard vertices.count > 3 else { guard vertices.count > 2 else { return [] } return [Polygon( unchecked: vertices, plane: plane, isConvex: isConvex, sanitizeNormals: sanitizeNormals, material: material, id: id )] } var triangles = [Polygon]() func addTriangle(_ vertices: [Vertex]) -> Bool { guard !verticesAreDegenerate(vertices) else { return false } triangles.append(Polygon( unchecked: vertices, plane: plane, isConvex: true, sanitizeNormals: sanitizeNormals, material: material, id: id )) return true } let isConvex = isConvex ?? verticesAreConvex(vertices) if isConvex { var vertices = vertices var i = 0 var attempts = 0 while vertices.count > 3 { let a = vertices[i] let b = vertices[(i + 1) % vertices.count] let c = vertices[(i + 2) % vertices.count] let d = vertices[(i + 3) % vertices.count] if LineSegment(c.position, a.position)?.containsPoint(d.position) == false, addTriangle([a, b, c]) { vertices.remove(at: (i + 1) % vertices.count) i = i % vertices.count attempts = 0 } else { i = (i + 1) % vertices.count attempts += 1 } if attempts > vertices.count * 2 { assert(plane == nil || triangles.allSatisfy { $0.plane == plane }) return triangles } } if addTriangle(vertices) { assert(plane == nil || triangles.allSatisfy { $0.plane == plane }) return triangles } triangles.removeAll() } let faceNormal = plane?.normal ?? faceNormalForPolygonPoints(vertices.map { $0.position }, convex: isConvex, closed: true) var start = 0, i = 0 outer: while start < vertices.count { var attempts = 0 var vertices = vertices while vertices.count > 3 { let j = (i - 1 + vertices.count) % vertices.count let k = (i + 1) % vertices.count let p0 = vertices[j], p1 = vertices[i], p2 = vertices[k] let triangle = Polygon([p0, p1, p2], material: material) if triangle == nil || vertices.enumerated().contains(where: { index, v in ![i, j, k].contains(index) && triangle!.containsPoint(v.position) }) || plane.map({ !triangle!.plane.isEqual(to: $0) }) ?? (triangle!.plane.normal.dot(faceNormal) <= 0) || !addTriangle([p0, p1, p2]) { i += 1 if i == vertices.count { i = 0 attempts += 1 if attempts > 2 { triangles.removeAll() start += 1 i = start continue outer } } } else { attempts = 0 vertices.remove(at: i) if i == vertices.count { i = 0 } } } // TODO: find better solution for when addTriangle fails if vertices.count == 3, addTriangle(vertices) || flipped { break } triangles.removeAll() start += 1 i = start } if !flipped, triangles.isEmpty { return triangulateVertices( vertices.inverted(), plane: plane?.inverted(), isConvex: isConvex, sanitizeNormals: sanitizeNormals, material: material, id: id, flipped: true ).inverted() } // assert(triangles.count == vertices.count - 2) assert(plane == nil || triangles.allSatisfy { $0.plane == plane }) return triangles } // MARK: Vector utilities func isFlippedScale(_ scale: Vector) -> Bool { var flipped = scale.x < 0 if scale.y < 0 { flipped = !flipped } if scale.z < 0 { flipped = !flipped } return flipped } func rotationBetweenVectors(_ v0: Vector, _ v1: Vector) -> Rotation { let axis = v0.cross(v1) let length = axis.length if length < epsilon { if v0.dot(v1) > epsilon { return .identity } let axis = faceNormalForPolygonPoints([v0, v1], convex: false, closed: false) return Rotation(unchecked: axis, angle: .pi) } let angle = v0.angle(with: v1) return Rotation(unchecked: axis / length, angle: angle) } func vectorsAreCollinear(_ v0: Vector, _ v1: Vector) -> Bool { v0.cross(v1).isZero } func pointsAreCollinear(_ a: Vector, _ b: Vector, _ c: Vector) -> Bool { vectorsAreCollinear(b - a, c - a) } func pointsAreDegenerate(_ points: [Vector]) -> Bool { let count = points.count guard count > 2, var a = points.last else { return false } var ab = (points[0] - a).normalized() for i in 0 ..< count { let b = points[i] let c = points[(i + 1) % count] if b == c || a == b { return true } let bc = (c - b).normalized() guard abs(ab.dot(bc) + 1) > 0 else { return true } a = b ab = bc } return false } // Note: assumes points are not degenerate func pointsAreConvex(_ points: [Vector]) -> Bool { let count = points.count guard count > 3, let a = points.last else { return count > 2 } var normal: Vector? var ab = points[0] - a for i in 0 ..< count { let b = points[i] let c = points[(i + 1) % count] let bc = c - b var n = ab.cross(bc) let length = n.length // check result is large enough to be reliable if length > epsilon { n = n / length if let normal = normal { if n.dot(normal) < 0 { return false } } else { normal = n } } ab = bc } return true } // Test if path is self-intersecting // TODO: optimize by using http://www.webcitation.org/6ahkPQIsN func pointsAreSelfIntersecting(_ points: [Vector]) -> Bool { guard points.count > 2 else { // A triangle can't be self-intersecting return false } for i in 0 ..< points.count - 2 { let p0 = points[i], p1 = points[i + 1] guard let l1 = LineSegment(p0, p1) else { continue } for j in i + 2 ..< points.count - 1 { let p2 = points[j], p3 = points[j + 1] let precision = 1e-6 guard !p1.isEqual(to: p2, withPrecision: precision), !p1.isEqual(to: p3, withPrecision: precision), !p0.isEqual(to: p2, withPrecision: precision), !p0.isEqual(to: p3, withPrecision: precision), let l2 = LineSegment(p2, p3) else { continue } if l1.intersects(l2) { return true } } } return false } // Computes the face normal for a collection of points // Points are assumed to be ordered in a counter-clockwise direction // Points are not verified to be coplanar or non-degenerate // Points are not required to form a convex polygon func faceNormalForPolygonPoints( _ points: [Vector], convex: Bool?, closed: Bool? ) -> Vector { let count = points.count switch count { case 0, 1: return .unitZ case 2: let ab = points[1] - points[0] let normal = ab.cross(.unitZ).cross(ab) let length = normal.length guard length > 0 else { // Points lie along z axis return .unitY } return normal / length default: let closed = (closed ?? false) && points.first != points.last func faceNormalForConvexPoints(_ points: [Vector]) -> Vector { let count = points.count var b = closed ? points[count - 1] : points[1] var ab = b - (closed ? points[count - 2] : points[0]) var bestLengthSquared = 0.0 var best: Vector? for c in points[(closed ? 0 : 2)...] { let bc = c - b let normal = ab.cross(bc) let lengthSquared = normal.lengthSquared if lengthSquared > bestLengthSquared { bestLengthSquared = lengthSquared best = normal / lengthSquared.squareRoot() } b = c ab = bc } return best ?? .unitZ } let normal = faceNormalForConvexPoints(points) let convex = convex ?? pointsAreConvex(points) if !convex { let flatteningPlane = FlatteningPlane(normal: normal) let flattenedPoints = points.map { flatteningPlane.flattenPoint($0) } let flattenedNormal = faceNormalForConvexPoints(flattenedPoints) let isClockwise = flattenedPointsAreClockwise(flattenedPoints) if (flattenedNormal.z > 0) == isClockwise { return -normal } } return normal } } func pointsAreCoplanar(_ points: [Vector]) -> Bool { if points.count < 4 { return true } let b = points[1] let ab = b - points[0] let bc = points[2] - b let normal = ab.cross(bc) let length = normal.length if length < epsilon { return false } let plane = Plane(unchecked: normal / length, pointOnPlane: b) for p in points[3...] where !plane.containsPoint(p) { return false } return true } // https://stackoverflow.com/questions/1165647/how-to-determine-if-a-list-of-polygon-points-are-in-clockwise-order#1165943 func flattenedPointsAreClockwise(_ points: [Vector]) -> Bool { assert(!points.contains(where: { $0.z != 0 })) let points = (points.first == points.last) ? points.dropLast() : [Vector].SubSequence(points) guard points.count > 2, var a = points.last else { return false } var sum = 0.0 for b in points { sum += (b.x - a.x) * (b.y + a.y) a = b } // abs(sum / 2) is the area of the polygon return sum > 0 } // MARK: Curve utilities func quadraticBezier(_ p0: Double, _ p1: Double, _ p2: Double, _ t: Double) -> Double { let oneMinusT = 1 - t let c0 = oneMinusT * oneMinusT * p0 let c1 = 2 * oneMinusT * t * p1 let c2 = t * t * p2 return c0 + c1 + c2 } func cubicBezier(_ p0: Double, _ p1: Double, _ p2: Double, _ p3: Double, _ t: Double) -> Double { let oneMinusT = 1 - t let oneMinusTSquared = oneMinusT * oneMinusT let c0 = oneMinusTSquared * oneMinusT * p0 let c1 = 3 * oneMinusTSquared * t * p1 let c2 = 3 * oneMinusT * t * t * p2 let c3 = t * t * t * p3 return c0 + c1 + c2 + c3 } // MARK: Line utilities // Shortest line segment between two lines // http://paulbourke.net/geometry/pointlineplane/ func shortestLineBetween( _ p1: Vector, _ p2: Vector, _ p3: Vector, _ p4: Vector, inSegment: Bool ) -> (Vector, Vector)? { let p21 = p2 - p1 assert(p21.length > 0) let p43 = p4 - p3 assert(p43.length > 0) let p13 = p1 - p3 let d1343 = p13.dot(p43) let d4321 = p43.dot(p21) let d1321 = p13.dot(p21) let d4343 = p43.dot(p43) let d2121 = p21.dot(p21) let denominator = d2121 * d4343 - d4321 * d4321 guard abs(denominator) > epsilon else { // Lines are coincident return nil } let numerator = d1343 * d4321 - d1321 * d4343 let mua = numerator / denominator let mub = (d1343 + d4321 * mua) / d4343 if inSegment, mua < 0 || mua > 1 || mub < 0 || mub > 1 { return nil } return (p1 + mua * p21, p3 + mub * p43) } // See "Vector formulation" at https://en.wikipedia.org/wiki/Distance_from_a_point_to_a_line func vectorFromPointToLine( _ point: Vector, _ lineOrigin: Vector, _ lineDirection: Vector ) -> Vector { assert(lineDirection.isNormalized) let d = point - lineOrigin return lineDirection * d.dot(lineDirection) - d } func lineIntersection( _ p0: Vector, _ p1: Vector, _ p2: Vector, _ p3: Vector ) -> Vector? { guard let (p0, p1) = shortestLineBetween(p0, p1, p2, p3, inSegment: false) else { return nil } return p0.isEqual(to: p1) ? p0 : nil } func lineSegmentsIntersection( _ p0: Vector, _ p1: Vector, _ p2: Vector, _ p3: Vector ) -> Vector? { guard let (p0, p1) = shortestLineBetween(p0, p1, p2, p3, inSegment: true) else { return nil } return p0.isEqual(to: p1) ? p0 : nil } // Returns distance of plane intersection along a line (or nil if parallel) func linePlaneIntersection(_ origin: Vector, _ direction: Vector, _ plane: Plane) -> Double? { // https://en.wikipedia.org/wiki/Line–plane_intersection#Algebraic_form let lineDotPlaneNormal = direction.dot(plane.normal) guard lineDotPlaneNormal > 0 else { // Line and plane are parallel return nil } let planePoint = plane.normal * plane.w return (planePoint - origin).dot(plane.normal) / lineDotPlaneNormal } // MARK: Path utilities // Sanitize a set of path points by removing duplicates and invalid points // Should be safe to use on sets of points representing a compound path (with subpaths) func sanitizePoints(_ points: [PathPoint]) -> [PathPoint] { if points.count == 1 { return points } var result = [PathPoint]() // Remove duplicate points // TODO: In future, compound paths may support duplicate points for point in points { if let last = result.last, point.position == last.position { if !point.isCurved, last.isCurved { result[result.count - 1].isCurved = false } } else { result.append(point) } } // Remove invalid points let isClosed = pointsAreClosed(unchecked: result) if result.count > (isClosed ? 3 : 2), let a = result.first?.position { var ab = result[1].position - a var i = 1 while i < result.count - 1 { let bc = result[i + 1].position - result[i].position if ab.cross(bc).isZero, ab.dot(bc) < epsilon { // center point makes path degenerate - remove it result.remove(at: i) ab = result[i].position - result[i - 1].position continue } i += 1 ab = bc } } // Ensure closed path start and end match if isClosed { if result.first != result.last { result[0] = result.last! } if result.count < 3 { return [] } } else if result.count < 2 { return [] } return result } func subpathIndicesFor(_ points: [PathPoint]) -> [Int] { // TODO: ensure closing points are of the same type as the opening point; // should this be part of the sanitize function? var lastIndex = 0 var indices = [Int]() for (i, p) in points.enumerated() { for j in lastIndex ..< i { if points[j].position == p.position { if j > lastIndex, j < i - 1 { indices.append(j) } indices.append(i) lastIndex = i + 1 break } } } if !indices.isEmpty, indices.last != points.count - 1 { indices.append(points.count - 1) return indices } // If only one path, return an empty array return indices.count > 1 ? indices : [] } func pointsAreClosed(unchecked points: [PathPoint]) -> Bool { points.last?.position == points.first?.position } func extrapolate(_ p0: PathPoint, _ p1: PathPoint, _ p2: PathPoint) -> PathPoint { var p0p1 = p1.position - p0.position let length = p0p1.length p0p1 = p0p1 / length let p1p2 = (p2.position - p1.position).normalized() let axis = p0p1.cross(p1p2) let angle = -p0p1.angle(with: p1p2) let r = Rotation(axis: axis, angle: angle) ?? .identity let p2pe = p1p2.rotated(by: r) * length return .curve(p2.position + p2pe) } func extrapolate(_ p0: PathPoint, _ p1: PathPoint) -> PathPoint { let p0p1 = p1.position - p0.position return .point(p1.position + p0p1) } // MARK: Coding // Protocol for types that can be encoded directly into an unkeyed // buffer. Typically applies to vectors with a fixed size. protocol UnkeyedCodable { /// Decode directly from an unkeyedContainer init(from container: inout UnkeyedDecodingContainer) throws /// Encode directly into an unkeyedContainer func encode(to container: inout UnkeyedEncodingContainer) throws } // MARK: Data class Buffer { private(set) var buffer: UnsafeMutablePointer let capacity: Int var count: Int = 0 { didSet { assert((0 ... capacity).contains(count)) } } init(capacity: Int) { self.capacity = capacity self.buffer = UnsafeMutablePointer.allocate(capacity: capacity) buffer.initialize(repeating: 0, count: capacity) } deinit { buffer.deallocate() } func append(_ int: UInt16) { assert(count <= capacity - 2) var int = int withUnsafeMutablePointer(to: &int) { let pointer = $0.withMemoryRebound(to: UInt8.self, capacity: 2) { $0 } for i in 0 ..< 2 { buffer[count] = pointer[i] count += 1 } } } func append(_ int: UInt32) { assert(count <= capacity - 4) var int = int withUnsafeMutablePointer(to: &int) { let pointer = $0.withMemoryRebound(to: UInt8.self, capacity: 4) { $0 } for i in 0 ..< 4 { buffer[count] = pointer[i] count += 1 } } } func append(_ float: Float) { append(float.bitPattern) } } extension Data { init(_ buffer: Buffer) { // TODO: any way to avoid the copy here? self.init(bytes: buffer.buffer, count: buffer.count) } } // MARK: Parallel processing #if canImport(Dispatch) && !arch(wasm32) import Dispatch private let minBatchCount = 2 private let cpuCores = ProcessInfo.processInfo.activeProcessorCount func batch( _ elements: [T], stride minBatchSize: Int, fn: ([T]) -> [U] ) -> [U] { let batchCount = min(max(elements.count / minBatchSize, 1), cpuCores * 3, 24) let batchSize = Int(ceil(Double(elements.count) / Double(batchCount))) if batchCount < minBatchCount || batchSize < minBatchSize { return fn(elements) } #if DEBUG print("batch: \(batchSize)×\(batchCount)/\(cpuCores)") #endif let parts = stride(from: 0, to: elements.count, by: batchSize).map { Array(elements[$0 ..< min($0 + batchSize, elements.count)]) } var a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x: [U]? DispatchQueue.concurrentPerform(iterations: parts.count) { index in let result = fn(parts[index]) switch index { case 0: a = result case 1: b = result case 2: c = result case 3: d = result case 4: e = result case 5: f = result case 6: g = result case 7: h = result case 8: i = result case 9: j = result case 10: k = result case 11: l = result case 12: m = result case 13: n = result case 14: o = result case 15: p = result case 16: q = result case 17: r = result case 18: s = result case 19: t = result case 20: u = result case 21: v = result case 22: w = result case 23: x = result default: preconditionFailure() } } let z = [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x] return z[..( _ elements: [T], stride _: Int, fn: ([T]) -> [U] ) -> [U] { fn(elements) } #endif ShapeScript-1.6.14/Euclid/Sources/Vector.swift000066400000000000000000000316251450355336000212130ustar00rootroot00000000000000// // Vector.swift // Euclid // // Created by Nick Lockwood on 03/07/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // import Foundation /// A distance or position in 3D space. /// /// > Note: Euclid doesn't have a 2D vector type. When working with primarily 2D shapes, such as /// ``Path``s, you can omit the ``z`` component when constructing vector and it will default to zero. public struct Vector: Hashable, Sendable, AdditiveArithmetic { /// The X component of the vector. public var x: Double /// The Y component of the vector. public var y: Double /// The Z component of the vector. public var z: Double /// Creates a vector from the values you provide. /// - Parameters: /// - x: The X component of the vector. /// - y: The Y component of the vector. /// - z: The Z component of the vector. public init(_ x: Double, _ y: Double, _ z: Double = 0) { self.x = x self.y = y self.z = z } } extension Vector: Comparable { /// Returns whether the leftmost vector has the lower value. /// This provides a stable order when sorting collections of vectors. public static func < (lhs: Vector, rhs: Vector) -> Bool { if lhs.x < rhs.x { return true } else if lhs.x > rhs.x { return false } if lhs.y < rhs.y { return true } else if lhs.y > rhs.y { return false } return lhs.z < rhs.z } } extension Vector: Codable { private enum CodingKeys: CodingKey { case x, y, z } /// Creates a new vector by decoding from the given decoder. /// - Parameter decoder: The decoder to read data from. public init(from decoder: Decoder) throws { if var container = try? decoder.unkeyedContainer() { try self.init(from: &container) } else { let container = try decoder.container(keyedBy: CodingKeys.self) let x = try container.decodeIfPresent(Double.self, forKey: .x) ?? 0 let y = try container.decodeIfPresent(Double.self, forKey: .y) ?? 0 let z = try container.decodeIfPresent(Double.self, forKey: .z) ?? 0 self.init(x, y, z) } } /// Encodes the vector into the given encoder. /// - Parameter encoder: The encoder to write data to. public func encode(to encoder: Encoder) throws { var container = encoder.unkeyedContainer() try encode(to: &container, skipZ: z == 0) } } /// Returns a new vector that represents the mininum of the components of the two vectors. public func min(_ lhs: Vector, _ rhs: Vector) -> Vector { Vector(min(lhs.x, rhs.x), min(lhs.y, rhs.y), min(lhs.z, rhs.z)) } /// Returns a new vector representing the maximum of the components of the two vectors. public func max(_ lhs: Vector, _ rhs: Vector) -> Vector { Vector(max(lhs.x, rhs.x), max(lhs.y, rhs.y), max(lhs.z, rhs.z)) } public extension Vector { /// A zero-length vector. static let zero = Vector(0, 0, 0) /// A vector with all coordinates set to `1`. static let one = Vector(1, 1, 1) /// A vector of length `1` along the X axis. static let unitX = Vector(1, 0, 0) /// A vector of length `1` along the Y axis. static let unitY = Vector(0, 1, 0) /// A vector of length `1` along the Z axis. static let unitZ = Vector(0, 0, 1) /// Creates a vector from an array of coordinates. /// - Parameter components: An array of vector components. /// /// Omitted values default to `0` and extra components are ignored. init(_ components: [Double]) { switch components.count { case 0: self = .zero case 1: self.init(components[0], 0) case 2: self.init(components[0], components[1]) default: self.init(components[0], components[1], components[2]) } } /// Creates a size/scale vector from an array of two coordinates. /// - Parameter components: An array of vector components. /// /// Omitted values are set equal to the first value specified. /// If no values as specified, the size defaults to ``one``. init(size components: [Double]) { switch components.count { case 0: self = .one case 1: self.init(components[0], components[0], components[0]) case 2: self.init(components[0], components[1], components[0]) default: self.init(components) } } /// Creates a vector of uniform size. /// - Parameter size: The value to use for all components. init(size: Double) { self.init(size, size, size) } /// An array containing the X, Y, and Z components of the vector. var components: [Double] { [x, y, z] } /// Returns a vector with all components inverted. static prefix func - (rhs: Vector) -> Vector { Vector(-rhs.x, -rhs.y, -rhs.z) } /// Returns the componentwise sum of two vectors. static func + (lhs: Vector, rhs: Vector) -> Vector { Vector(lhs.x + rhs.x, lhs.y + rhs.y, lhs.z + rhs.z) } /// Returns the componentwise difference between two vectors. static func - (lhs: Vector, rhs: Vector) -> Vector { Vector(lhs.x - rhs.x, lhs.y - rhs.y, lhs.z - rhs.z) } /// Returns a vector with its components multiplied by the specified value. static func * (lhs: Vector, rhs: Double) -> Vector { Vector(lhs.x * rhs, lhs.y * rhs, lhs.z * rhs) } /// Returns a vector with its components multiplied by the specified value. static func * (lhs: Double, rhs: Vector) -> Vector { Vector(lhs * rhs.x, lhs * rhs.y, lhs * rhs.z) } /// Multiplies the components of the vector by the specified value. static func *= (lhs: inout Vector, rhs: Double) { lhs.x *= rhs lhs.y *= rhs lhs.z *= rhs } /// Returns a vector with its components divided by the specified value. static func / (lhs: Vector, rhs: Double) -> Vector { Vector(lhs.x / rhs, lhs.y / rhs, lhs.z / rhs) } /// Divides the components of the vector by the value you provide. static func /= (lhs: inout Vector, rhs: Double) { lhs.x /= rhs lhs.y /= rhs lhs.z /= rhs } /// The magnitude of the vector. var length: Double { lengthSquared.squareRoot() } /// The square of the length of the vector. This is less expensive to compute than the length itself. var lengthSquared: Double { dot(self) } /// Computes the dot-product of this vector and another. /// - Parameter a: The vector with which to compute the dot product. /// - Returns: The dot product of the two vectors. func dot(_ a: Vector) -> Double { x * a.x + y * a.y + z * a.z } /// Computes the cross-product of this vector and another. /// - Parameter a: The vector with which to compute the cross product. /// - Returns: Returns a vector that is orthogonal to the two vectors used to compute the cross product. func cross(_ a: Vector) -> Vector { Vector(y * a.z - z * a.y, z * a.x - x * a.z, x * a.y - y * a.x) } /// A Boolean value that indicates whether the vector has a length of `1`. var isNormalized: Bool { abs(lengthSquared - 1) < epsilon } /// Returns a normalized vector. /// - Returns: The normalized vector (with a length of `1`) or the ``zero`` vector if the length is `0`. func normalized() -> Vector { let length = self.length return length == 0 ? .zero : self / length } /// All vector components are zero (or close to zero) in length. var isZero: Bool { isEqual(to: .zero) } /// All vector components are one (or close to one) in length. var isOne: Bool { isEqual(to: .one) } /// Linearly interpolate between this vector and another. /// - Parameters: /// - a: The vector to interpolate towards. /// - t: The normalized extent of interpolation, from 0 to 1. func lerp(_ a: Vector, _ t: Double) -> Vector { self + (a - self) * t } /// Returns the angle between this vector and another. /// - Parameter a: The vector to compare with. func angle(with a: Vector) -> Angle { .acos(normalized().dot(a.normalized())) } /// Returns the angle between this vector and the specified plane. /// - Parameter plane: The plane to compare with. func angle(with plane: Plane) -> Angle { .asin(normalized().dot(plane.normal)) } /// Returns the distance between the vector (representing a position in space) from the specified plane. /// - Parameter plane: The plane to compare with. /// - Returns: The distance between the point and the plane. The value is positive if the point lies /// in front of the plane, and negative if behind. func distance(from plane: Plane) -> Double { plane.normal.dot(self) - plane.w } /// Returns the nearest point on the specified plane to the vector (representing a position in space). /// - Parameter plane: The plane to project onto. /// - Returns: The nearest point in 3D space that lies on the plane. func project(onto plane: Plane) -> Vector { self - plane.normal * distance(from: plane) } /// Returns the distance between the vector (representing a position in space) from the specified line. /// - Parameter line: The line to compare with. /// - Returns: The absolute perpendicular distance between the point and line. func distance(from line: Line) -> Double { line.distance(from: self) } /// Returns the nearest point on the specified line to the vector (representing a position in space). /// - Parameter line: The line to project onto. /// - Returns: The nearest point in 3D space that lies on the line. func project(onto line: Line) -> Vector { line.direction * (self - line.origin).dot(line.direction) - line.origin } } extension Vector: UnkeyedCodable { func encode(to container: inout UnkeyedEncodingContainer) throws { try encode(to: &container, skipZ: false) } func encode(to container: inout UnkeyedEncodingContainer, skipZ: Bool) throws { try container.encode(x) try container.encode(y) try skipZ ? () : container.encode(z) } init(from container: inout UnkeyedDecodingContainer) throws { self.x = try container.decode(Double.self) self.y = try container.decode(Double.self) self.z = try container.decodeIfPresent(Double.self) ?? 0 } } extension Vector { func _quantized() -> Vector { Vector(quantize(x), quantize(y), quantize(z)) } func hashValues(withPrecision precision: Double) -> Set { let xf = floor(x / precision) * precision let xc = ceil(x / precision) * precision let yf = floor(y / precision) * precision let yc = ceil(y / precision) * precision let zf = floor(z / precision) * precision let zc = ceil(z / precision) * precision return [ Vector(xf, yf, zf), Vector(xf, yf, zc), Vector(xf, yc, zf), Vector(xf, yc, zc), Vector(xc, yf, zf), Vector(xc, yf, zc), Vector(xc, yc, zf), Vector(xc, yc, zc), ] } /// Are all components equal var isUniform: Bool { x.isEqual(to: y) && y.isEqual(to: z) } /// Approximate equality func isEqual(to other: Vector, withPrecision p: Double = epsilon) -> Bool { x.isEqual(to: other.x, withPrecision: p) && y.isEqual(to: other.y, withPrecision: p) && z.isEqual(to: other.z, withPrecision: p) } func compare(with plane: Plane) -> PlaneComparison { let t = distance(from: plane) return (t < -epsilon) ? .back : (t > epsilon) ? .front : .coplanar } } ShapeScript-1.6.14/Euclid/Sources/Vertex.swift000066400000000000000000000255771450355336000212370ustar00rootroot00000000000000// // Vertex.swift // Euclid // // Created by Nick Lockwood on 03/07/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/Euclid // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // import Foundation /// A vertex represents a corner of a ``Polygon`` or a point on the surface of a ``Mesh``. public struct Vertex: Hashable, Sendable { /// The position of the vertex. public var position: Vector { didSet { position = position._quantized() } } /// The surface normal of the vertex, used to calculate lighting. /// Set this to zero if you want the normal to be calculated automatically from the polygon face normal. public var normal: Vector { didSet { normal = normal.normalized() } } /// Texture coordinates for the vertex. Set this to zero if you are not using a texture map. public var texcoord: Vector /// The color for the vertex. /// This will be multiplied by the material color, so set it to white if you do not require per-vertex colors. public var color: Color /// Creates a new vertex. /// - Parameters: /// - position: The position of the vertex in 3D space. /// - normal: The surface normal for the vertex (defaults to zero). /// - texcoord: The optional texture coordinates for the vertex (defaults to zero). /// - color: The optional vertex color (defaults to white). public init( _ position: Vector, _ normal: Vector? = nil, _ texcoord: Vector? = nil, _ color: Color? = nil ) { self.init(unchecked: position, normal?.normalized(), texcoord, color) } } extension Vertex: Codable { private enum CodingKeys: CodingKey { case position, normal, texcoord, color } /// Creates a new vertex by decoding from the given decoder. /// - Parameter decoder: The decoder to read data from. public init(from decoder: Decoder) throws { if let container = try? decoder.container(keyedBy: CodingKeys.self) { try self.init( container.decode(Vector.self, forKey: .position), container.decodeIfPresent(Vector.self, forKey: .normal), container.decodeIfPresent(Vector.self, forKey: .texcoord), container.decodeIfPresent(Color.self, forKey: .color) ) } else { let container = try decoder.singleValueContainer() let values = try container.decode([Double].self) guard let vertex = Vertex(values) else { throw DecodingError.dataCorruptedError( in: container, debugDescription: "Cannot decode vertex" ) } self = vertex } } /// Encodes this vertex into the given encoder. /// - Parameter encoder: The encoder to write data to. public func encode(to encoder: Encoder) throws { var container = encoder.unkeyedContainer() let hasColor = color != .white let hasTexcoord = hasColor || texcoord != .zero let hasNormal = hasTexcoord || normal != .zero let skipPositionZ = !hasNormal && position.z == 0 let skipTextureZ = !hasColor && texcoord.z == 0 try position.encode(to: &container, skipZ: skipPositionZ) try hasNormal ? normal.encode(to: &container, skipZ: false) : () try hasTexcoord ? texcoord.encode(to: &container, skipZ: skipTextureZ) : () try hasColor ? color.encode(to: &container, skipA: color.a == 1) : () } } public extension Vertex { /// Creates a new vertex from a position with default values for normal, texcoord and color. /// - Parameter position: The position of the vertex in 3D space. init(_ position: Vector) { self.init(unchecked: position, nil, nil, nil) } /// Returns a new vertex with the normal inverted. func inverted() -> Vertex { Vertex(unchecked: position, -normal, texcoord, color) } /// Linearly interpolates between two vertices. /// - Parameters: /// - other: The vertex to interpolate towards. /// - t: The unit value that indicates the distance between of this vertex and the target vertex. /// - Returns: A new vertex with values interpolated between the two vertices. /// /// > Note: Interpolation is applied to the texture coordinate, normal and color, as well as the position. func lerp(_ other: Vertex, _ t: Double) -> Vertex { Vertex( unchecked: position.lerp(other.position, t), normal.lerp(other.normal, t), texcoord.lerp(other.texcoord, t), color.lerp(other.color, t) ) } } extension Vertex { init( unchecked position: Vector, _ normal: Vector?, _ texcoord: Vector?, _ color: Color? ) { self.position = position._quantized() self.normal = normal ?? .zero self.texcoord = texcoord ?? .zero self.color = color ?? .white } /// Creates a vertex from a flat array of values. /// - Parameter values: The array of values. /// /// The number of values specified determines how each value is interpreted. The following patterns are /// supported (P = position, N = normal, T = texcoord, RGB[A] = color): /// /// PP /// PPP /// PPP NNN /// PPP NNN TT /// PPP NNN TTT /// PPP NNN TTT RGB /// PPP NNN TTT RGBA init?(_ values: [Double]) { switch values.count { case 2: self.init(Vector(values[0], values[1])) case 3: self.init(Vector(values[0], values[1], values[2])) case 6: self.init( Vector(values[0], values[1], values[2]), Vector(values[3], values[4], values[5]) ) case 8: self.init( Vector(values[0], values[1], values[2]), Vector(values[3], values[4], values[5]), Vector(values[6], values[7]) ) case 9: self.init( Vector(values[0], values[1], values[2]), Vector(values[3], values[4], values[5]), Vector(values[6], values[7], values[8]) ) case 12: self.init( Vector(values[0], values[1], values[2]), Vector(values[3], values[4], values[5]), Vector(values[6], values[7], values[8]), Color(values[9], values[10], values[11]) ) case 13: self.init( Vector(values[0], values[1], values[2]), Vector(values[3], values[4], values[5]), Vector(values[6], values[7], values[8]), Color(values[9], values[10], values[11], values[12]) ) default: return nil } } /// Creates a copy of the vertex with the specified normal. func with(normal: Vector) -> Vertex { var vertex = self vertex.normal = normal return vertex } /// Creates a copy of the vertex with the specified texture coordinate. func with(texcoord: Vector) -> Vertex { var vertex = self vertex.texcoord = texcoord return vertex } /// Creates a copy of the vertex with the specified position. func with(position: Vector) -> Vertex { var vertex = self vertex.position = position._quantized() return vertex } /// Approximate equality func isEqual(to other: Vertex, withPrecision p: Double = epsilon) -> Bool { position.isEqual(to: other.position, withPrecision: p) && normal.isEqual(to: other.normal, withPrecision: p) && texcoord.isEqual(to: other.texcoord, withPrecision: p) && color.isEqual(to: other.color, withPrecision: p) } } extension Collection where Element == Vertex { func withoutTexcoords() -> [Vertex] { map { $0.with(texcoord: .zero) } } func inverted() -> [Vertex] { reversed().map { $0.inverted() } } } struct VertexSet { private var storage = [Vector: [Vertex]]() /// The maximum distance between vertices. let precision: Double /// Creates a vertex set with specified precision. /// - Parameter precision: The maximum distance between vertices. init(precision: Double) { self.precision = precision } /// If vertex is unique, inserts it and returns the same value /// otherwise, returns nearest match /// - Parameter point: The point to insert. mutating func insert(_ vertex: Vertex) -> Vertex { let point = vertex.position let hash = Vector( round(point.x / precision) * precision, round(point.y / precision) * precision, round(point.z / precision) * precision ) // if exact match found, return it if let vertex = storage[hash]?.first(where: { $0.isEqual(to: vertex, withPrecision: precision) }) { return vertex } // if position match found, merge it var vertex = vertex if let match = storage[hash]?.first(where: { $0.position.isEqual(to: point, withPrecision: precision) }) { vertex.position = match.position if vertex.normal.isEqual(to: match.normal, withPrecision: precision) { vertex.normal = match.normal } if vertex.texcoord.isEqual(to: match.texcoord, withPrecision: precision) { vertex.texcoord = match.texcoord } if vertex.color.isEqual(to: match.color, withPrecision: precision) { vertex.color = match.color } } // insert into hash point.hashValues(withPrecision: precision).forEach { storage[$0, default: []].append(vertex) } return vertex } } ShapeScript-1.6.14/Euclid/Tests/000077500000000000000000000000001450355336000163435ustar00rootroot00000000000000ShapeScript-1.6.14/Euclid/Tests/AngleTests.swift000066400000000000000000000113571450355336000215010ustar00rootroot00000000000000// // AngleTests.swift // EuclidTests // // Created by Ioannis Kaliakatsos on 22.11.20. // Copyright © 2020 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest private let epsilon = Double.ulpOfOne.squareRoot() class AngleTests: XCTestCase { func testConstructor() { let angle = Angle.degrees(30) XCTAssertEqual(30, angle.degrees, accuracy: epsilon) } func testRadians() { let angle = Angle.degrees(30) XCTAssertEqual(Double.pi / 6, angle.radians, accuracy: epsilon) } func testCosFirstQuadrant() { let angle = Angle.degrees(30) XCTAssertEqual(sqrt(3) / 2, cos(angle), accuracy: epsilon) } func testCosSecondQuadrant() { let angle = Angle.degrees(150) XCTAssertEqual(-sqrt(3) / 2, cos(angle), accuracy: epsilon) } func testCosThirdQuadrant() { let angle = Angle.degrees(210) XCTAssertEqual(-sqrt(3) / 2, cos(angle), accuracy: epsilon) } func testCosFourthQuadrant() { let angle = Angle.degrees(-30) XCTAssertEqual(sqrt(3) / 2, cos(angle), accuracy: epsilon) } func testSinFirstQuadrant() { let angle = Angle.degrees(30) XCTAssertEqual(0.5, sin(angle), accuracy: epsilon) } func testSinSecondQuadrant() { let angle = Angle.degrees(150) XCTAssertEqual(0.5, sin(angle), accuracy: epsilon) } func testSinThirdQuadrant() { let angle = Angle.degrees(210) XCTAssertEqual(-0.5, sin(angle), accuracy: epsilon) } func testSinFourthQuadrant() { let angle = Angle.degrees(-30) XCTAssertEqual(-0.5, sin(angle), accuracy: epsilon) } func testTanFirstQuadrant() { let angle = Angle.degrees(30) XCTAssertEqual(1 / sqrt(3), tan(angle), accuracy: epsilon) } func testTanSecondQuadrant() { let angle = Angle.degrees(150) XCTAssertEqual(-1 / sqrt(3), tan(angle), accuracy: epsilon) } func testTanThirdQuadrant() { let angle = Angle.degrees(210) XCTAssertEqual(1 / sqrt(3), tan(angle), accuracy: epsilon) } func testTanFourthQuadrant() { let angle = Angle.degrees(-30) XCTAssertEqual(-1 / sqrt(3), tan(angle), accuracy: epsilon) } func testAcosFirstQuadrant() { let angle = Angle.acos(0.5) XCTAssertEqual(60, angle.degrees, accuracy: epsilon) } func testAcosSecondQuadrant() { let angle = Angle.acos(-0.5) XCTAssertEqual(120, angle.degrees, accuracy: epsilon) } func testAsinFirstQuadrant() { let angle = Angle.asin(0.5) XCTAssertEqual(30, angle.degrees, accuracy: epsilon) } func testAsinFourthQuadrant() { let angle = Angle.asin(-0.5) XCTAssertEqual(-30, angle.degrees, accuracy: epsilon) } func testAtanFirstQuadrant() { let angle = Angle.atan2(y: 1, x: sqrt(3)) XCTAssertEqual(30, angle.degrees, accuracy: epsilon) } func testAtanSecondQuadrant() { let angle = Angle.atan2(y: 1, x: -sqrt(3)) XCTAssertEqual(150, angle.degrees, accuracy: epsilon) } func testAtanThirdQuadrant() { let angle = Angle.atan2(y: -1, x: -sqrt(3)) XCTAssertEqual(-150, angle.degrees, accuracy: epsilon) } func testAtanFourthQuadrant() { let angle = Angle.atan2(y: -1, x: sqrt(3)) XCTAssertEqual(-30, angle.degrees, accuracy: epsilon) } func testAddition() { let sum = Angle.degrees(30) + .degrees(10) XCTAssertEqual(40, sum.degrees, accuracy: epsilon) } func testSubtraction() { let difference = Angle.degrees(30) - .degrees(10) XCTAssertEqual(20, difference.degrees, accuracy: epsilon) } func testPrefix() { let angle = -Angle.degrees(30) XCTAssertEqual(-30, angle.degrees, accuracy: epsilon) } func testEquality1() { let angle1 = Angle.degrees(30) let angle2 = Angle.degrees(30) XCTAssertTrue(angle1 == angle2) XCTAssertFalse(angle1 != angle2) } func testEquality2() { let angle1 = Angle.degrees(30) let angle2 = Angle.degrees(50) XCTAssertFalse(angle1 == angle2) XCTAssertTrue(angle1 != angle2) } func testComparable1() { let angle1 = Angle.degrees(10) let angle2 = Angle.degrees(20) XCTAssertTrue(angle1 < angle2) XCTAssertTrue(angle1 <= angle2) XCTAssertFalse(angle1 > angle2) XCTAssertFalse(angle1 >= angle2) } func testComparable2() { let angle1 = Angle.degrees(10) let angle2 = Angle.degrees(10) XCTAssertFalse(angle1 < angle2) XCTAssertTrue(angle1 <= angle2) XCTAssertFalse(angle1 > angle2) XCTAssertTrue(angle1 >= angle2) } } ShapeScript-1.6.14/Euclid/Tests/BoundsTests.swift000066400000000000000000000107131450355336000217000ustar00rootroot00000000000000// // BoundsTests.swift // EuclidTests // // Created by Nick Lockwood on 22/01/2020. // Copyright © 2020 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest class BoundsTests: XCTestCase { // MARK: Union func testUnionOfCoincidingBounds() { let a = Bounds(min: Vector(-1, -1, -1), max: Vector(1, 1, 1)) let b = Bounds(min: Vector(-1, -1, -1), max: Vector(1, 1, 1)) let c = a.union(b) XCTAssertEqual(c, a) } func testUnionOfAdjacentBounds() { let a = Bounds(min: Vector(-1, -0.5, -0.5), max: Vector(0, 0.5, 0.5)) let b = Bounds(min: Vector(0, -0.5, -0.5), max: Vector(1, 0.5, 0.5)) let c = Bounds(min: Vector(-1, -0.5, -0.5), max: Vector(1, 0.5, 0.5)) XCTAssertEqual(a.union(b), c) } func testUnionOfEmptyAndBounds() { let a = Bounds.empty let b = Bounds(min: Vector(-1, -1, -1), max: Vector(1, 1, 1)) let c = a.union(b) XCTAssertEqual(c, b) } func testUnionOfBoundsAndEmpty() { let a = Bounds(min: Vector(-1, -1, -1), max: Vector(1, 1, 1)) let b = Bounds.empty let c = a.union(b) XCTAssertEqual(c, a) } // MARK: Intersection func testIntersectionOfCoincidingBounds() { let a = Bounds(min: Vector(-1, -1, -1), max: Vector(1, 1, 1)) let b = Bounds(min: Vector(-1, -1, -1), max: Vector(1, 1, 1)) let c = a.intersection(b) XCTAssertEqual(c, a) } func testIntersectionOfAdjacentBounds() { let a = Bounds(min: Vector(-1, -0.5, -0.5), max: Vector(0, 0.5, 0.5)) let b = Bounds(min: Vector(0, -0.5, -0.5), max: Vector(1, 0.5, 0.5)) let c = Bounds(min: Vector(0, -0.5, -0.5), max: Vector(0, 0.5, 0.5)) XCTAssertEqual(a.intersection(b), c) } func testIntersectionOfEmptyAndBounds() { let a = Bounds.empty let b = Bounds(min: Vector(-1, -1, -1), max: Vector(1, 1, 1)) let c = a.intersection(b) XCTAssertEqual(c, .empty) } func testIntersectionOfBoundsAndEmpty() { let a = Bounds(min: Vector(-1, -1, -1), max: Vector(1, 1, 1)) let b = Bounds.empty let c = a.intersection(b) XCTAssertEqual(c, .empty) } // MARK: isEmpty func testEmptyBoundsIsEmpty() { let bounds = Bounds.empty XCTAssert(bounds.isEmpty) } func testNegativeVolumeBoundsIsEmpty() { let bounds = Bounds(min: .one, max: -.one) XCTAssert(bounds.isEmpty) } func testZeroSizedBoundsIsEmpty() { let bounds = Bounds(min: .zero, max: .zero) XCTAssert(bounds.isEmpty) } func testBoundsWithNegativeWidthIsEmpty() { let bounds = Bounds(min: .zero, max: Vector(-1, 1, 1)) XCTAssert(bounds.isEmpty) } func testBoundsWithZeroWidthIsNotEmpty() { let bounds = Bounds(min: .zero, max: Vector(0, 1, 1)) XCTAssertFalse(bounds.isEmpty) } func testBoundsWithNegativeHeightIsEmpty() { let bounds = Bounds(min: .zero, max: Vector(1, -1, 1)) XCTAssert(bounds.isEmpty) } func testBoundsWithZeroHeightIsNotEmpty() { let bounds = Bounds(min: .zero, max: Vector(1, 0, 1)) XCTAssertFalse(bounds.isEmpty) } func testBoundsWithNegativeDepthIsEmpty() { let bounds = Bounds(min: .zero, max: Vector(1, 1, -1)) XCTAssert(bounds.isEmpty) } func testBoundsWithZeroDepthIsNotEmpty() { let bounds = Bounds(min: .zero, max: Vector(1, 1, 0)) XCTAssertFalse(bounds.isEmpty) } func testRotatedEmptyBoundsIsEmpty() { let rotation = Rotation( roll: .radians(-0.5 * .pi), yaw: .radians(-0.4999 * .pi), pitch: .radians(-0.5 * .pi) ) XCTAssert(Bounds.empty.rotated(by: rotation).isEmpty) XCTAssert(Bounds.empty.rotated(by: Quaternion(rotation)).isEmpty) XCTAssert(Bounds.empty.transformed(by: .rotation(rotation)).isEmpty) } func testTranslatedEmptyBoundsIsEmpty() { let offset = Vector(2.5539, 0.5531, 0.0131) XCTAssert(Bounds.empty.translated(by: offset).isEmpty) XCTAssert(Bounds.empty.transformed(by: .offset(offset)).isEmpty) } func testScaledEmptyBoundsIsEmpty() { XCTAssert(Bounds.empty.scaled(by: 0).isEmpty) XCTAssert(Bounds.empty.scaled(by: -1).isEmpty) XCTAssert(Bounds.empty.transformed(by: .scale(.zero)).isEmpty) XCTAssert(Bounds.empty.transformed(by: .scale(-.one)).isEmpty) } } ShapeScript-1.6.14/Euclid/Tests/CGPathTests.swift000066400000000000000000000046021450355336000215540ustar00rootroot00000000000000// // CGPathTests.swift // Euclid // // Created by Nick Lockwood on 10/03/2019. // Copyright © 2019 Nick Lockwood. All rights reserved. // #if canImport(CoreGraphics) import CoreGraphics @testable import Euclid import XCTest class CGPathTests: XCTestCase { func testRectangularCGPath() { let cgRect = CGRect(x: 0, y: 0, width: 1, height: 2) let cgPath = CGPath(rect: cgRect, transform: nil) let path = Path(cgPath) XCTAssertTrue(path.isClosed) XCTAssertEqual(path.points, [ .point(0, 0), .point(1, 0), .point(1, 2), .point(0, 2), .point(0, 0), ]) } func testRoundedRectCGPath() { let cgRect = CGRect(x: -1, y: -1, width: 2, height: 2) let cgPath = CGPath(roundedRect: cgRect, cornerWidth: 0.5, cornerHeight: 0.5, transform: nil) let path = Path(cgPath, detail: 1) XCTAssertTrue(path.isClosed) XCTAssertEqual(path.points.count, 18) } func testUnclosedLineAndQuadCurveCGPath() { let cgPath = CGMutablePath() cgPath.move(to: .zero) cgPath.addLine(to: CGPoint(x: 2, y: 0)) cgPath.addQuadCurve(to: CGPoint(x: 0, y: 0), control: CGPoint(x: 1, y: 1)) let path = Path(cgPath, detail: 1) XCTAssertTrue(path.isClosed) XCTAssertEqual(path.points, [ .point(0, 0), .point(2, 0), .curve(1, 0.5), .point(0, 0), ]) } func testClosedLineAndQuadCurveCGPath() { let cgPath = CGMutablePath() cgPath.move(to: .zero) cgPath.addLine(to: CGPoint(x: 2, y: 0)) cgPath.addQuadCurve(to: CGPoint(x: 0, y: 0), control: CGPoint(x: 1, y: 1)) cgPath.closeSubpath() let path = Path(cgPath, detail: 1) XCTAssertTrue(path.isClosed) XCTAssertEqual(path.points, [ .point(0, 0), .point(2, 0), .curve(1, 0.5), .point(0, 0), ]) } func testUnclosedLineAndCubicCurveCGPath() { let cgPath = CGMutablePath() cgPath.move(to: .zero) cgPath.addLine(to: CGPoint(x: 2, y: 0)) cgPath.addCurve(to: CGPoint(x: 0, y: 0), control1: CGPoint(x: 1.5, y: 1), control2: CGPoint(x: 0.5, y: 1)) let path = Path(cgPath, detail: 1) XCTAssertTrue(path.isClosed) XCTAssertEqual(path.points.count, 5) } } #endif ShapeScript-1.6.14/Euclid/Tests/CodingTests.swift000066400000000000000000000721411450355336000216540ustar00rootroot00000000000000// // CodingTests.swift // EuclidTests // // Created by Nick Lockwood on 20/11/2020. // Copyright © 2020 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest class CodingTests: XCTestCase { private func decode(_ string: String) throws -> T { let data = string.data(using: .utf8)! return try JSONDecoder().decode(T.self, from: data) } private func encode(_ value: T) throws -> String { let data = try JSONEncoder().encode(value) return String(data: data, encoding: .utf8)! } // MARK: Angle func testDecodingAngle() { XCTAssertEqual(try decode("[2]"), [Angle.radians(2)]) } func testDecodingAngle2() { XCTAssertEqual(try decode("{\"radians\": 2}"), Angle.radians(2)) } func testDecodingAngle3() { XCTAssertEqual(try decode("{\"degrees\": 180}"), Angle.pi) } // MARK: Vector func testDecodingVector3() { XCTAssertEqual(try decode("[1, 2, 3]"), Vector(1, 2, 3)) } func testDecodingVector2() { XCTAssertEqual(try decode("[1, 2]"), Vector(1, 2, 0)) } func testDecodingKeyedVector() { XCTAssertEqual(try decode("{\"z\": 1}"), Vector(0, 0, 1)) } func testDecodingInvalidVectors() { XCTAssertThrowsError(try decode("[1]") as Vector) } func testEncodingVector3() { XCTAssertEqual(try encode(Vector(1, 2, 3)), "[1,2,3]") } func testEncodingVector2() { XCTAssertEqual(try encode(Vector(1, 2, 0)), "[1,2]") } // MARK: Vertex func testDecodingVertex() { XCTAssertEqual(try decode(""" { "position": [1, 2, 2], "normal": [1, 0, 0], "texcoord": [0, 1] } """), Vertex(Vector(1, 2, 2), .unitX, .unitY)) } func testDecodingVertexWithColor() { XCTAssertEqual(try decode(""" { "position": [1, 2, 2], "normal": [1, 0, 0], "texcoord": [0, 1], "color": [1, 0, 0], } """), Vertex(Vector(1, 2, 2), .unitX, .unitY, .red)) } func testDecodingVertexWithTexcoord3D() { XCTAssertEqual(try decode(""" { "position": [1, 2, 2], "normal": [1, 0, 0], "texcoord": [0, 1, 2] } """), Vertex(Vector(1, 2, 2), .unitX, Vector(0, 1, 2))) } func testDecodingFlattenedVertex() { XCTAssertEqual( try decode("[1, 2, 2, 1, 0, 0, 0, 1]"), Vertex(Vector(1, 2, 2), .unitX, .unitY) ) } func testDecodingFlattenedVertexWithOpaqueColor() { XCTAssertEqual( try decode("[1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0]"), Vertex(Vector(1, 2, 2), .unitX, .unitY, .red) ) } func testDecodingFlattenedVertexWithTranslucentColor() { XCTAssertEqual( try decode("[1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0.5]"), Vertex(Vector(1, 2, 2), .unitX, .unitY, Color(1, 0, 0, 0.5)) ) } func testDecodingFlattenedVertexWithTexcoord3D() { XCTAssertEqual( try decode("[1, 2, 2, 1, 0, 0, 0, 1, 2]"), Vertex(Vector(1, 2, 2), .unitX, Vector(0, 1, 2)) ) } func testEncodingVertex() { XCTAssertEqual( try encode(Vertex(Vector(1, 2, 2), .unitX, .unitY)), "[1,2,2,1,0,0,0,1]" ) } func testEncodingVertexWithTexcoord3D() { XCTAssertEqual( try encode(Vertex(Vector(1, 2, 2), .unitX, Vector(0, 1, 2))), "[1,2,2,1,0,0,0,1,2]" ) } func testDecodingVertexWithoutTexcoord() { XCTAssertEqual(try decode(""" { "position": [1, 2, 2], "normal": [1, 0, 0] } """), Vertex(Vector(1, 2, 2), .unitX, .zero)) } func testDecodingFlattenedVertexWithoutTexcoord() { XCTAssertEqual( try decode("[1, 2, 2, 1, 0, 0]"), Vertex(Vector(1, 2, 2), .unitX) ) } func testEncodingVertexWithoutTexcoordOrColor() { XCTAssertEqual( try encode(Vertex(Vector(1, 2, 2), .unitX)), "[1,2,2,1,0,0]" ) } func testEncodingVertex2DWithoutTexcoord() { XCTAssertEqual( try encode(Vertex(Vector(1, 2), .unitX)), "[1,2,0,1,0,0]" ) } func testDecodingVertexWithoutNormal() { XCTAssertEqual(try decode(""" { "position": [1, 2, 2], "texcoord": [1, 0] } """), Vertex(Vector(1, 2, 2), nil, .unitX)) } func testDecodingVertexWithoutNormalWithTexcoord3D() { XCTAssertEqual(try decode(""" { "position": [1, 2, 2], "texcoord": [1, 0, 2] } """), Vertex(Vector(1, 2, 2), nil, Vector(1, 0, 2))) } func testDecodingFlattenedVertexWithoutNormal() { XCTAssertEqual(try decode("[1, 2, 2]"), Vertex(Vector(1, 2, 2))) } func testDecodingVertexWithInvalidNormal() { XCTAssertEqual(try decode(""" { "position": [1, 2, 2], "normal": [1, 2, 2] } """), Vertex( Vector(1, 2, 2), Vector(0.3333333333333333, 0.6666666666666666, 0.6666666666666666), .zero )) } func testEncodingVertexWithoutNormal() { XCTAssertEqual( try encode(Vertex(Vector(1, 2, 2))), "[1,2,2]" ) } func testEncodingVertex2DWithoutNormal() { XCTAssertEqual( try encode(Vertex(Vector(1, 2))), "[1,2]" ) } func testEncodeDecodeVertexWithTexcoordButWithoutNormal() throws { let vertex = Vertex(.zero, .zero, .unitY) let encoded = try encode(vertex) XCTAssertEqual(encoded, "[0,0,0,0,0,0,0,1]") XCTAssertEqual(try decode(encoded), vertex) } func testEncodingVertex2DWithOpaqueColor() { XCTAssertEqual( try encode(Vertex( Vector(1, 2), Vector(1, 0, 0), Vector(0, 1), .green )), "[1,2,0,1,0,0,0,1,0,0,1,0]" ) } func testEncodingVertex3DWithTranslucentColor() { XCTAssertEqual( try encode(Vertex( Vector(1, 2, 2), Vector(1, 0, 0), Vector(0, 1), Color(0, 1, 0, 0.5) )), "[1,2,2,1,0,0,0,1,0,0,1,0,0.5]" ) } func testEncodeDecodeVertexWithZeroTexcoord() throws { let vertex = Vertex(.zero, .unitY, .zero, .black) let encoded = try encode(vertex) XCTAssertEqual(encoded, "[0,0,0,0,1,0,0,0,0,0,0,0]") XCTAssertEqual(try decode(encoded), vertex) } func testEncodeDecodeVertexWithZeroNormalAndTexcoord() throws { let vertex = Vertex(.zero, .zero, .zero, .black) let encoded = try encode(vertex) XCTAssertEqual(encoded, "[0,0,0,0,0,0,0,0,0,0,0,0]") XCTAssertEqual(try decode(encoded), vertex) } // MARK: Plane func testDecodingKeyedPlane() { XCTAssertEqual(try decode(""" { "normal": [0, 0, 1], "w": 1 } """), Plane(normal: .unitZ, w: 1)) } func testDecodingUnkeyedPlane() { XCTAssertEqual(try decode("[0, 0, 1, 0]"), Plane(normal: .unitZ, w: 0)) } func testEncodingPlane() { XCTAssertEqual(try encode(Plane(normal: .unitZ, w: 0)), "[0,0,1,0]") } // MARK: Line func testDecodingKeyedLine() { XCTAssertEqual(try decode(""" { "origin": [0, 0, 1], "direction": [0, 1, 0] } """), Line(origin: .unitZ, direction: .unitY)) } func testDecodingKeyedZeroLengthLine() { XCTAssertThrowsError(try decode(""" { "origin": [0, 0, 1], "direction": [0, 0, 0] } """) as Line) } func testDecodingUnkeyedLine() { XCTAssertEqual( try decode("[0, 0, 1, 0, 1, 0]"), Line(origin: .unitZ, direction: .unitY) ) } func testDecodingUnkeyedZeroLengthLine() { XCTAssertThrowsError(try decode("[0, 0, 1, 0, 0, 0]") as Line) } func testEncodingLine() { XCTAssertEqual( try encode(Line(origin: .unitZ, direction: .unitY)), "[0,0,1,0,1,0]" ) } // MARK: LineSegment func testDecodingKeyedLineSegment() { XCTAssertEqual(try decode(""" { "start": [0, 0, 1], "end": [0, 1, 0] } """), LineSegment(.unitZ, .unitY)) } func testDecodingKeyedZeroLengthLineSegment() { XCTAssertThrowsError(try decode(""" { "start": [0, 0, 1], "end": [0, 0, 1] } """) as LineSegment) } func testDecodingUnkeyedLineSegment() { XCTAssertEqual( try decode("[0, 0, 1, 0, 1, 0]"), LineSegment(.unitZ, .unitY) ) } func testDecodingUnkeyedZeroLengthLineSegment() { XCTAssertThrowsError(try decode("[0, 0, 1, 0, 0, 1]") as LineSegment) } func testEncodingLineSegment() { XCTAssertEqual( try encode(LineSegment(.unitZ, .unitY)), "[0,0,1,0,1,0]" ) } // MARK: Polygon func testDecodingPolygon() { XCTAssertEqual(try decode(""" { "vertices": [ { "position": [0, 0], "normal": [0, 0, 1], "texcoord": [0, 1], }, { "position": [1, 0], "normal": [0, 0, 1], "texcoord": [1, 1], }, { "position": [1, 1], "normal": [0, 0, 1], "texcoord": [1, 0], } ] } """), Polygon([ Vertex(Vector(0, 0), .unitZ, Vector(0, 1)), Vertex(Vector(1, 0), .unitZ, Vector(1, 1)), Vertex(Vector(1, 1), .unitZ, Vector(1, 0)), ])) } func testDecodingUnkeyedPolygon() { XCTAssertEqual(try decode(""" [ { "position": [0, 0], "normal": [0, 0, 1], }, { "position": [1, 0], "normal": [0, 0, 1], }, { "position": [1, 1], "normal": [0, 0, 1], }, ] """), Polygon([ Vertex(Vector(0, 0), .unitZ), Vertex(Vector(1, 0), .unitZ), Vertex(Vector(1, 1), .unitZ), ])) } func testDecodingUnkeyedPolygonWithUnkeyedVertices() { XCTAssertEqual(try decode(""" [ [0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 1], [1, 1, 0, 0, 0, 1], ] """), Polygon([ Vertex(Vector(0, 0), .unitZ), Vertex(Vector(1, 0), .unitZ), Vertex(Vector(1, 1), .unitZ), ])) } func testDecodingPolygonWithPlane() { XCTAssertEqual( try decode(""" { "vertices": [ { "position": [0, 0], "normal": [0, 0, 1], }, { "position": [1, 0], "normal": [0, 0, 1], }, { "position": [1, 1], "normal": [0, 0, 1], } ], "plane": [0, 0, 1, 0] } """), Polygon( unchecked: [ Vertex(Vector(0, 0), .unitZ), Vertex(Vector(1, 0), .unitZ), Vertex(Vector(1, 1), .unitZ), ], plane: Plane(normal: .unitZ, w: 0) ) ) } func testDecodingPolygonWithoutNormals() { XCTAssertEqual(try decode(""" { "vertices": [ { "position": [0, 0], "texcoord": [0, 1], }, { "position": [1, 0], "texcoord": [1, 1], }, { "position": [1, 1], "texcoord": [1, 0], } ] } """), Polygon([ Vertex(Vector(0, 0), .unitZ, Vector(0, 1)), Vertex(Vector(1, 0), .unitZ, Vector(1, 1)), Vertex(Vector(1, 1), .unitZ, Vector(1, 0)), ])) } func testDecodingUnkeyedPolygonWithUnkeyedVerticesWithoutVertexNormal() { XCTAssertEqual(try decode(""" [ [0, 0], [1, 0], [1, 1], ] """), Polygon([ Vertex(Vector(0, 0), .unitZ), Vertex(Vector(1, 0), .unitZ), Vertex(Vector(1, 1), .unitZ), ])) } func testEncodingPolygonWithTexcoordsWhereVertexNormalsMatchPlane() throws { let polygon = Polygon( unchecked: [ Vertex(Vector(0, 0, 1), .unitZ, Vector(0, 1)), Vertex(Vector(1, 0, 1), .unitZ, Vector(1, 1)), Vertex(Vector(1, 1, 1), .unitZ, Vector(1, 0)), ], plane: Plane(normal: .unitZ, w: 1) ) let encoded = try encode(polygon) XCTAssertEqual(try decode(encoded), polygon) XCTAssertEqual(encoded, "[[0,0,1,0,0,1,0,1],[1,0,1,0,0,1,1,1],[1,1,1,0,0,1,1,0]]") } func testEncodingPolygonWithoutTexcoordsWhereVertexNormalsMatchPlane() throws { let polygon = Polygon( unchecked: [ Vertex(Vector(0, 0, 1), .unitZ), Vertex(Vector(1, 0, 1), .unitZ), Vertex(Vector(1, 1, 1), .unitZ), ], plane: Plane(normal: .unitZ, w: 1) ) let encoded = try encode(polygon) XCTAssertEqual(try decode(encoded), polygon) XCTAssertEqual(encoded, "[[0,0,1],[1,0,1],[1,1,1]]") } func testEncodingPolygonWhereVertexNormalsDoNotMatchPlane() throws { let polygon = Polygon( unchecked: [ Vertex(Vector(0, 0, 1), .unitZ), Vertex(Vector(1, 0, 1), .unitZ), Vertex(Vector(1, 1, 1), .unitZ), ], plane: Plane(normal: Vector(0, 0, -1), w: 1) ) let encoded = try encode(polygon) XCTAssertEqual(try decode(encoded), polygon) XCTAssertEqual(encoded, "[[[0,0,1,0,0,1],[1,0,1,0,0,1],[1,1,1,0,0,1]],[0,0,-1,1]]") } // MARK: Material func testEncodingPolygonWithNilMaterial() throws { let polygon = Polygon(shape: .square(), material: nil) let encoded = try encode(polygon) let decoded = try decode(encoded) as Euclid.Polygon XCTAssertNil(decoded.material) } func testEncodingPolygonWithStringMaterial() throws { let polygon = Polygon(shape: .square(), material: "foo") let encoded = try encode(polygon) let decoded = try decode(encoded) as Euclid.Polygon XCTAssertEqual(decoded.material, polygon?.material) } func testEncodingPolygonWithIntMaterial() throws { let polygon = Polygon(shape: .square(), material: 5) let encoded = try encode(polygon) let decoded = try decode(encoded) as Euclid.Polygon XCTAssertEqual(decoded.material, polygon?.material) } func testEncodingPolygonWithDataMaterial() throws { let polygon = Polygon(shape: .square(), material: "foo".data(using: .utf8)) let encoded = try encode(polygon) let decoded = try decode(encoded) as Euclid.Polygon XCTAssertEqual(decoded.material, polygon?.material) } func testEncodingPolygonWithUnsupportedMaterial() throws { struct Foo: Hashable {} let polygon = Polygon(shape: .square(), material: Foo()) XCTAssertThrowsError(try encode(polygon)) } func testEncodingPolygonWithColorMaterial() throws { let polygon = Polygon(shape: .square(), material: Color.red) let encoded = try encode(polygon) let decoded = try decode(encoded) as Euclid.Polygon XCTAssertEqual(decoded.material, polygon?.material) } func testEncodingPolygonWithOSColorMaterial() throws { #if canImport(UIKit) let polygon = Polygon(shape: .square(), material: UIColor.red) XCTAssertEqual(polygon?.material, polygon?.material) #elseif canImport(AppKit) let polygon = Polygon(shape: .square(), material: NSColor.red) #else let polygon = Polygon(shape: .square()) #endif let encoded = try encode(polygon) let decoded = try decode(encoded) as Euclid.Polygon XCTAssertEqual(decoded.material, polygon?.material) } // MARK: Color func testDecodingRGBAColor() { XCTAssertEqual(try decode("[1, 0, 0, 0.5]"), Color.red.withAlpha(0.5)) } func testEncodingRGBAColor() { XCTAssertEqual(try encode(Color.gray.withAlpha(0.5)), "[0.5,0.5,0.5,0.5]") } func testDecodingRGBColor() { XCTAssertEqual(try decode("[1, 1, 0]"), Color.yellow) } func testEncodingRGBColor() { XCTAssertEqual(try encode(Color.cyan), "[0,1,1]") } func testDecodingInvalidColor() { XCTAssertThrowsError(try decode("[1]") as Color) } // MARK: Mesh func testDecodingMesh() { XCTAssertEqual( try decode(""" { "polygons": [ { "vertices": [ { "position": [0, 0], "normal": [0, 0, 1], }, { "position": [1, 0], "normal": [0, 0, 1], }, { "position": [1, 1], "normal": [0, 0, 1], } ] } ] } """), Mesh([ Polygon( unchecked: [ Vertex(Vector(0, 0), .unitZ), Vertex(Vector(1, 0), .unitZ), Vertex(Vector(1, 1), .unitZ), ], plane: Plane(normal: .unitZ, w: 0) ), ]) ) } func testEncodingMeshWithoutMaterial() throws { let mesh = Mesh.extrude(.square()) let encoded = try encode(mesh) let decoded = try decode(encoded) as Euclid.Mesh XCTAssertEqual(decoded, mesh) } func testEncodingMeshWithMaterial() throws { let mesh = Mesh.extrude(.square(), material: "foo") let encoded = try encode(mesh) let decoded = try decode(encoded) as Euclid.Mesh XCTAssertEqual(decoded, mesh) } func testEncodingMeshWithMixedMaterials() throws { let mesh = Mesh([ Polygon(shape: .square(), material: "foo"), Polygon(shape: .square()), Polygon(shape: .square(), material: "bar"), ].compactMap { $0 }) let encoded = try encode(mesh) let decoded = try decode(encoded) as Euclid.Mesh XCTAssertEqual(decoded, mesh) } // MARK: PathPoint func testDecodingPathPoint2D() { XCTAssertEqual(try decode("[1, 2]"), PathPoint.point(1, 2)) } func testEncodingPathPoint2D() throws { let encoded = try encode(PathPoint.point(Vector(1, 2))) XCTAssertEqual(encoded, "[1,2]") } func testDecodingPathPoint3D() { XCTAssertEqual(try decode("[1, 2, 3]"), PathPoint.point(1, 2, 3)) } func testEncodingPathPoint3D() throws { let encoded = try encode(PathPoint.point(Vector(1, 2, 3))) XCTAssertEqual(encoded, "[1,2,3]") } func testDecodingCurvedPathPoint2D() { XCTAssertEqual(try decode("[1, 2, true]"), PathPoint.curve(1, 2)) } func testEncodingCurvedPathPoint2D() throws { let encoded = try encode(PathPoint.curve(Vector(1, 2))) XCTAssertEqual(encoded, "[1,2,true]") } func testDecodingCurvedPathPoint3D() { XCTAssertEqual(try decode("[1, 2, 3, true]"), PathPoint.curve(1, 2, 3)) } func testEncodingCurvedPathPoint3D() throws { let encoded = try encode(PathPoint.curve(Vector(1, 2, 3))) XCTAssertEqual(encoded, "[1,2,3,true]") } func testDecodingPathPoint2DWithTexcoord() { XCTAssertEqual( try decode("[1, 2, 3, 4]"), PathPoint.point(Vector(1, 2), texcoord: Vector(3, 4)) ) } func testEncodingPathPoint2DWithTexcoord() throws { let encoded = try encode(PathPoint.point(Vector(1, 2), texcoord: Vector(3, 4))) XCTAssertEqual(encoded, "[1,2,3,4]") } func testEncodingPathPoint2DWithTexcoord3D() throws { let encoded = try encode(PathPoint.point(Vector(1, 2), texcoord: Vector(3, 4, 5))) XCTAssertEqual(encoded, "[1,2,0,3,4,5]") } func testEncodingPathPoint2DWithOpaqueColor() throws { let encoded = try encode(PathPoint.point(Vector(1, 2), color: .red)) XCTAssertEqual(encoded, "[1,2,0,1,0,0,1]") } func testDecodingPathPoint3DWithTexcoord() { XCTAssertEqual( try decode("[1, 2, 3, 4, 5]"), PathPoint.point(Vector(1, 2, 3), texcoord: Vector(4, 5)) ) } func testDecodingPathPoint3DWithOpaqueColor() { XCTAssertEqual( try decode("[1, 2, 3, 1, 0, 0, 1]"), PathPoint.point(Vector(1, 2, 3), color: .red) ) } func testDecodingPathPoint3DWithTranslucentColor() { XCTAssertEqual( try decode("[1, 2, 3, 1, 0, 0, 0.5]"), PathPoint.point(Vector(1, 2, 3), color: Color.red.withAlpha(0.5)) ) } func testDecodingPathPoint3DWithTexcoord3D() { XCTAssertEqual( try decode("[1, 2, 3, 4, 5, 6]"), PathPoint.point(Vector(1, 2, 3), texcoord: Vector(4, 5, 6)) ) } func testEncodingPathPoint3DWithTexcoord() throws { let encoded = try encode(PathPoint.point(Vector(1, 2, 3), texcoord: Vector(4, 5))) XCTAssertEqual(encoded, "[1,2,3,4,5]") } func testEncodingPathPoint3DWithTexcoord3D() throws { let encoded = try encode(PathPoint.point(Vector(1, 2, 3), texcoord: Vector(4, 5, 6))) XCTAssertEqual(encoded, "[1,2,3,4,5,6]") } func testDecodingCurvedPathPoint2DWithTexcoord() { XCTAssertEqual( try decode("[1, 2, 3, 4, true]"), PathPoint.curve(Vector(1, 2), texcoord: Vector(3, 4)) ) } func testDecodingCurvedPathPoint2DWithOpaqueColor() { XCTAssertEqual( try decode("[1, 2, 0, 1, 0, 0, 1, true]"), PathPoint.curve(Vector(1, 2, 0), color: .red) ) } func testDecodingCurvedPathPoint2DWithTranslucentColor() { XCTAssertEqual( try decode("[1, 2, 0, 1, 0, 0, 0.5, true]"), PathPoint.curve(Vector(1, 2), color: Color.red.withAlpha(0.5)) ) } func testEncodingCurvedPathPoint2DWithTexcoord() throws { let encoded = try encode(PathPoint.curve(Vector(1, 2), texcoord: Vector(3, 4))) XCTAssertEqual(encoded, "[1,2,3,4,true]") } func testEncodingCurvedPathPoint2DWithTexcoord3D() throws { let encoded = try encode(PathPoint.curve(Vector(1, 2), texcoord: Vector(3, 4, 5))) XCTAssertEqual(encoded, "[1,2,0,3,4,5,true]") } func testEncodingCurvedPathPoint2DWithOpaqueColor() throws { let encoded = try encode(PathPoint.curve(Vector(1, 2), color: .red)) XCTAssertEqual(encoded, "[1,2,0,1,0,0,1,true]") } func testDecodingCurvedPathPoint3DWithTexcoord() { XCTAssertEqual( try decode("[1, 2, 3, 4, 5, true]"), PathPoint.curve(Vector(1, 2, 3), texcoord: Vector(4, 5)) ) } func testDecodingCurvedPathPoint3DWithTexcoord3D() { XCTAssertEqual( try decode("[1, 2, 3, 4, 5, 6, true]"), PathPoint.curve(Vector(1, 2, 3), texcoord: Vector(4, 5, 6)) ) } func testDecodingCurvedPathPoint3DWithTexcoord3DAndOpaqueColor() { XCTAssertEqual( try decode("[1, 2, 3, 4, 5, 6, 1, 0, 0, true]"), PathPoint.curve(Vector(1, 2, 3), texcoord: Vector(4, 5, 6), color: .red) ) } func testDecodingCurvedPathPoint3DWithTexcoord3DAndTranslucentColor() { XCTAssertEqual( try decode("[1, 2, 3, 4, 5, 6, 1, 0, 0, 0.5, true]"), PathPoint.curve( Vector(1, 2, 3), texcoord: Vector(4, 5, 6), color: Color.red.withAlpha(0.5) ) ) } func testEncodingCurvedPathPoint3DWithTexcoord() throws { let encoded = try encode(PathPoint.curve(Vector(1, 2, 3), texcoord: Vector(4, 5))) XCTAssertEqual(encoded, "[1,2,3,4,5,true]") } func testEncodingCurvedPathPoint3DWithTexcoordAndOpaqueColor() throws { let encoded = try encode(PathPoint.curve( Vector(1, 2, 3), texcoord: Vector(4, 5), color: .red )) XCTAssertEqual(encoded, "[1,2,3,4,5,1,0,0,true]") } func testEncodingCurvedPathPoint3DWithTexcoordAndTranslucentColor() throws { let encoded = try encode(PathPoint.curve( Vector(1, 2, 3), texcoord: Vector(4, 5), color: Color.red.withAlpha(0.5) )) XCTAssertEqual(encoded, "[1,2,3,4,5,1,0,0,0.5,true]") } func testEncodingCurvedPathPoint3DWithTexcoord3D() throws { let encoded = try encode(PathPoint.curve(Vector(1, 2, 3), texcoord: Vector(4, 5, 6))) XCTAssertEqual(encoded, "[1,2,3,4,5,6,true]") } func testEncodingCurvedPathPoint3DWithTexcoord3DAndOpaqueColor() throws { let encoded = try encode(PathPoint.curve( Vector(1, 2, 3), texcoord: Vector(4, 5, 6), color: .red )) XCTAssertEqual(encoded, "[1,2,3,4,5,6,1,0,0,true]") } func testEncodingCurvedPathPoint3DWithTexcoord3DAndTranslucentColor() throws { let encoded = try encode(PathPoint.curve( Vector(1, 2, 3), texcoord: Vector(4, 5, 6), color: Color.red.withAlpha(0.5) )) XCTAssertEqual(encoded, "[1,2,3,4,5,6,1,0,0,0.5,true]") } // MARK: Path func testDecodingSimplePath() { XCTAssertEqual(try decode("[[1, 2, 3], [2, 0]]"), Path([.point(1, 2, 3), .point(2, 0)])) } func testDecodingKeyedPath() { XCTAssertEqual(try decode(""" { "points": [[1, 2, 3], [2, 0]] } """), Path([.point(1, 2, 3), .point(2, 0)])) } func testDecodingSubpath() { XCTAssertEqual(try decode(""" { "subpaths": [ [[1, 2, 3], [2, 0]] ] } """), Path(subpaths: [Path([.point(1, 2, 3), .point(2, 0)])])) } // MARK: Rotation func testDecodingIdentityRotation() { XCTAssertEqual(try decode("[]"), Rotation.identity) XCTAssertEqual(try decode("{}"), Rotation.identity) } func testEncodingIdentityRotation() { XCTAssertEqual(try encode(Rotation.identity), "[]") } func testDecodingRollRotation() { XCTAssertEqual(try decode("[1]"), Rotation(roll: .radians(1))) XCTAssertEqual(try decode(""" { "radians": 1 } """), Rotation(roll: .radians(1))) } func testDecodingPitchYawRollRotation() { XCTAssertEqual( try decode("[1, 2, 3]"), Rotation(pitch: .radians(1), yaw: .radians(2), roll: .radians(3)) ) } func testDecodingAxisAngleRotation() { XCTAssertEqual(try decode("[0, 0, -1, 1]"), Rotation(roll: .radians(-1))) XCTAssertEqual(try decode(""" { "axis": [0, 0, -1], "radians": 1 } """), Rotation(roll: .radians(-1))) } func testEncodingAndDecodingRotation() throws { let rotation = Rotation(axis: .unitX, angle: .radians(2))! let encoded = try encode(rotation) XCTAssert(try rotation.isEqual(to: decode(encoded))) } func testEncodingAndDecodingPitchYawRollRotation() throws { let rotation = Rotation(pitch: .degrees(10), yaw: .degrees(20), roll: .degrees(30)) let encoded = try encode(rotation) XCTAssert(try rotation.isEqual(to: decode(encoded))) } // MARK: Quaternion func testDecodingIdentityQuaternion() { XCTAssertEqual(try decode("[]"), Quaternion.identity) XCTAssertEqual(try decode("{}"), Quaternion.identity) } func testEncodingIdentityQuaternion() { XCTAssertEqual(try encode(Quaternion.identity), "[]") } func testEncodingAndDecodingQuaternion() throws { let q = Quaternion(axis: .unitX, angle: .radians(2))! let encoded = try encode(q) XCTAssert(try q.isEqual(to: decode(encoded))) } func testEncodingAndDecodingPitchYawRollQuaternion() throws { let q = Quaternion(roll: .degrees(30), yaw: .degrees(20), pitch: .degrees(10)) let encoded = try encode(q) XCTAssert(try q.isEqual(to: decode(encoded))) } } ShapeScript-1.6.14/Euclid/Tests/Cube.stl000066400000000000000000000012541450355336000177470ustar00rootroot00000000000000Cube ??????????????????????????????????????????????????????ShapeScript-1.6.14/Euclid/Tests/Euclid+Testing.swift000066400000000000000000000014471450355336000222450ustar00rootroot00000000000000// // Euclid+Testing.swift // EuclidTests // // Created by Nick Lockwood on 13/06/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest func XCTAssertEqual( _ v1: @autoclosure () throws -> Vector, _ v2: @autoclosure () throws -> Vector, accuracy: Double = epsilon, _ message: @autoclosure () -> String = "", file: StaticString = #file, line: UInt = #line ) { do { let v1 = try v1(), v2 = try v2() if !v1.isEqual(to: v2, withPrecision: accuracy) { var m = message() if m.isEmpty { m = "\(v1) is not equal to \(v2) +/1 \(accuracy)" } XCTFail(m, file: file, line: line) } } catch { XCTFail(error.localizedDescription) } } ShapeScript-1.6.14/Euclid/Tests/Info.plist000066400000000000000000000012751450355336000203200ustar00rootroot00000000000000 CFBundleDevelopmentRegion $(DEVELOPMENT_LANGUAGE) CFBundleExecutable $(EXECUTABLE_NAME) CFBundleIdentifier $(PRODUCT_BUNDLE_IDENTIFIER) CFBundleInfoDictionaryVersion 6.0 CFBundleName $(PRODUCT_NAME) CFBundlePackageType BNDL CFBundleShortVersionString 1.0 CFBundleVersion 1 ShapeScript-1.6.14/Euclid/Tests/LineSegmentTests.swift000066400000000000000000000020131450355336000226520ustar00rootroot00000000000000// // LineSegmentTests.swift // EuclidTests // // Created by Nick Lockwood on 24/07/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest class LineSegmentTests: XCTestCase { // MARK: Contains point func testContainsPoint() { let line = LineSegment(unchecked: Vector(-2, -1, 0), Vector(2, 1, 0)) let point = Vector(-1, -0.5, 0) XCTAssert(line.containsPoint(point)) } func testDoesNotContainPoint() { let line = LineSegment(unchecked: Vector(-2, -1, 0), Vector(2, 1, 0)) XCTAssertFalse(line.containsPoint(Vector(-1, -0.6, 0))) } func testDoesNotContainPointBeforeStart() { let line = LineSegment(unchecked: Vector(-2, -1, 0), Vector(2, 1, 0)) XCTAssertFalse(line.containsPoint(Vector(-3, -1.5, 0))) } func testDoesNotContainPointAfterEnd() { let line = LineSegment(unchecked: Vector(-2, -1, 0), Vector(2, 1, 0)) XCTAssertFalse(line.containsPoint(Vector(4, 2, 0))) } } ShapeScript-1.6.14/Euclid/Tests/LineTests.swift000066400000000000000000000112441450355336000213350ustar00rootroot00000000000000// // LineTests.swift // GeometryScriptTests // // Created by Andy Geers on 26/11/2019. // Copyright © 2019 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest class LineTests: XCTestCase { // MARK: Vector distance func testDistanceFromPointSimple() { let l = Line(unchecked: .zero, direction: .unitX) let p = Vector(15, 2, 0) XCTAssertEqual(l.distance(from: p), 2) } func testDistanceFromPointHarder() { let l = Line(unchecked: .zero, direction: .unitX) let p = Vector(15, 2, 3) XCTAssertEqual(l.distance(from: p), (2 * 2 + 3 * 3).squareRoot()) } // MARK: Point projection func testProjectPointDown() { let l = Line(unchecked: .zero, direction: .unitX) let p = Vector(2, -2, 0) XCTAssertEqual(p.project(onto: l), Vector(2, 0, 0)) } func testProjectPointUp() { let l = Line(unchecked: .zero, direction: .unitX) let p = Vector(3, 1, 0) XCTAssertEqual(p.project(onto: l), Vector(3, 0, 0)) } func testProjectPointRight() { let l = Line(unchecked: .zero, direction: .unitY) let p = Vector(-3, 1, 0) XCTAssertEqual(p.project(onto: l), .unitY) } func testProjectPointLeft() { let l = Line(unchecked: .zero, direction: .unitY) let p = Vector(3, -5, 0) XCTAssertEqual(p.project(onto: l), Vector(0, -5, 0)) } func testProjectPointDiagonal() { let l = Line(unchecked: .zero, direction: Vector(1, 1, 0).normalized()) let p = Vector(0, 2, 0) XCTAssert(p.project(onto: l).isEqual(to: Vector(1, 1, 0))) } // MARK: Line intersection func testLineIntersectionXY() { let l1 = Line(unchecked: Vector(1, 0, 3), direction: .unitX) let l2 = Line(unchecked: Vector(0, 1, 3), direction: -.unitY) let intersection = l1.intersection(with: l2) XCTAssertEqual(intersection, Vector(0, 0, 3)) } func testLineIntersectionXZ() { let l1 = Line(unchecked: Vector(1, 3, 0), direction: .unitX) let l2 = Line(unchecked: Vector(0, 3, 1), direction: -.unitZ) let intersection = l1.intersection(with: l2) XCTAssertEqual(intersection, Vector(0, 3, 0)) } func testLineIntersectionYZ() { let l1 = Line(unchecked: Vector(3, 1, 0), direction: .unitY) let l2 = Line(unchecked: Vector(3, 0, 1), direction: -.unitZ) let intersection = l1.intersection(with: l2) XCTAssertEqual(intersection, Vector(3, 0, 0)) } func testCoincidentLineIntersection() { let l1 = Line(unchecked: .unitX, direction: .unitX) XCTAssertNil(l1.intersection(with: l1)) } // MARK: Contains point func testContainsPoint() { let line = Line(unchecked: Vector(-2, -1, 0), direction: Vector(2, 1, 0).normalized()) XCTAssert(line.containsPoint(Vector(-1, -0.5, 0))) } func testContainsPoint2() { let line = Line(unchecked: Vector(-2, -1, 0), direction: Vector(2, 1, 0).normalized()) XCTAssert(line.containsPoint(Vector(-3, -1.5, 0))) } func testDoesNotContainPoint() { let line = Line(unchecked: Vector(-2, -1, 0), direction: Vector(2, 1, 0).normalized()) XCTAssertFalse(line.containsPoint(Vector(-1, -0.6, 0))) } // MARK: Equality func testEquivalentHorizontalLinesAreEqual() { let l1 = Line(origin: Vector(1, -1, 0), direction: .unitX) let l2 = Line(origin: Vector(3, -1, 0), direction: .unitX) XCTAssertEqual(l1, l2) XCTAssert(Set([l1]).contains(l2)) } func testEquivalentVerticalLinesAreEqual() { let l1 = Line(origin: Vector(2, 5, 0), direction: .unitY) let l2 = Line(origin: Vector(2, -1, 0), direction: .unitY) XCTAssertEqual(l1, l2) XCTAssert(Set([l1]).contains(l2)) } func testEquivalentZLinesAreEqual() { let l1 = Line(origin: Vector(2, 5, -2), direction: -.unitZ) let l2 = Line(origin: Vector(2, 5, 7), direction: -.unitZ) XCTAssertEqual(l1, l2) XCTAssert(Set([l1]).contains(l2)) } func testEquivalentXYLinesAreEqual() { let direction = Vector(1, 2, 0).normalized() let l1 = Line(origin: Vector(0, 0, -1), direction: direction) let l2 = Line(origin: Vector(1, 2, -1), direction: direction) XCTAssertEqual(l1, l2) XCTAssert(Set([l1]).contains(l2)) } func testEquivalentYZLinesAreEqual() { let direction = Vector(0, -1, 2).normalized() let l1 = Line(origin: .zero, direction: direction) let l2 = Line(origin: Vector(0, -1, 2), direction: direction) XCTAssertEqual(l1, l2) XCTAssert(Set([l1]).contains(l2)) } } ShapeScript-1.6.14/Euclid/Tests/MeshCSGTests.swift000066400000000000000000000350031450355336000216760ustar00rootroot00000000000000// // MeshCSGTests.swift // GeometryScriptTests // // Created by Nick Lockwood on 31/10/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest class MeshCSGTests: XCTestCase { // MARK: Subtraction func testSubtractCoincidingBoxes() { let a = Mesh.cube() let b = Mesh.cube() let c = a.subtract(b) XCTAssert(c.polygons.isEmpty) XCTAssertEqual(c, .difference([a, b])) } func testSubtractCoincidingBoxesWhenTriangulated() { let a = Mesh.cube().triangulate() let b = Mesh.cube().triangulate() let c = a.subtract(b) XCTAssert(c.polygons.isEmpty) XCTAssertEqual(c, .difference([a, b])) } func testSubtractAdjacentBoxes() { let a = Mesh.cube() let b = Mesh.cube().translated(by: .unitX) let c = a.subtract(b) XCTAssertEqual(c.bounds, a.bounds) XCTAssertEqual(c, .difference([a, b])) } func testSubtractOverlappingBoxes() { let a = Mesh.cube() let b = Mesh.cube().translated(by: Vector(0.5, 0, 0)) let c = a.subtract(b) XCTAssertEqual(c.bounds, Bounds( min: Vector(-0.5, -0.5, -0.5), max: Vector(0, 0.5, 0.5) )) XCTAssertEqual(c, .difference([a, b])) } func testSubtractEmptyMesh() { let a = Mesh.empty let b = Mesh.cube() XCTAssertEqual(a.subtract(b), a) XCTAssertEqual(b.subtract(a), b) XCTAssertEqual(a.subtract(b), .difference([a, b])) XCTAssertEqual(b.subtract(a), .difference([b, a])) } func testSubtractIsDeterministic() { let a = Mesh.cube(size: 0.8) let b = Mesh.sphere(slices: 16) let c = a.subtract(b) #if !arch(wasm32) XCTAssertEqual(c.polygons.count, 189) #endif XCTAssertEqual(c, .difference([a, b])) } func testDifferenceOfOne() { let mesh = Mesh.cube() XCTAssertEqual(mesh, .difference([mesh])) } func testDifferenceOfNone() { XCTAssertEqual(Mesh.empty, .difference([])) } // MARK: XOR func testXorCoincidingCubes() { let a = Mesh.cube() let b = Mesh.cube() let c = a.xor(b) XCTAssert(c.polygons.isEmpty) XCTAssertEqual(c, .xor([a, b])) } func testXorAdjacentCubes() { let a = Mesh.cube() let b = Mesh.cube().translated(by: .unitX) let c = a.xor(b) XCTAssertEqual(c.bounds, a.bounds.union(b.bounds)) XCTAssertEqual(c, .xor([a, b])) } func testXorOverlappingCubes() { let a = Mesh.cube() let b = Mesh.cube().translated(by: Vector(0.5, 0, 0)) let c = a.xor(b) XCTAssertEqual(c.bounds, Bounds( min: Vector(-0.5, -0.5, -0.5), max: Vector(1.0, 0.5, 0.5) )) XCTAssertEqual(c, .xor([a, b])) } func testXorWithEmptyMesh() { let a = Mesh.empty let b = Mesh.cube() XCTAssertEqual(a.xor(b), b) XCTAssertEqual(b.xor(a), b) XCTAssertEqual(a.xor(b), .xor([a, b])) XCTAssertEqual(b.xor(a), .xor([b, a])) } func testXorIsDeterministic() { let a = Mesh.cube(size: 0.8) let b = Mesh.sphere(slices: 16) let c = a.xor(b) #if !arch(wasm32) XCTAssertEqual(c.polygons.count, 323) #endif XCTAssertEqual(c, .xor([a, b])) } func testXorOfOne() { let mesh = Mesh.cube() XCTAssertEqual(mesh, .xor([mesh])) } func testXorOfNone() { XCTAssertEqual(Mesh.empty, .xor([])) } // MARK: Union func testUnionOfCoincidingBoxes() { let a = Mesh.cube() let b = Mesh.cube() let c = a.union(b) XCTAssertEqual(c.bounds, a.bounds) XCTAssertEqual(c, .union([a, b])) } func testUnionOfAdjacentBoxes() { let a = Mesh.cube() let b = Mesh.cube().translated(by: .unitX) let c = a.union(b) XCTAssertEqual(c.bounds, a.bounds.union(b.bounds)) XCTAssertEqual(c, .union([a, b])) } func testUnionOfOverlappingBoxes() { let a = Mesh.cube() let b = Mesh.cube().translated(by: Vector(0.5, 0, 0)) let c = a.union(b) XCTAssertEqual(c.bounds, Bounds( min: Vector(-0.5, -0.5, -0.5), max: Vector(1, 0.5, 0.5) )) XCTAssertEqual(c, .union([a, b])) } func testUnionWithEmptyMesh() { let a = Mesh.empty let b = Mesh.cube() XCTAssertEqual(a.union(b).bounds, b.bounds) XCTAssertEqual(b.union(a).bounds, b.bounds) XCTAssertEqual(a.union(b), .union([a, b])) XCTAssertEqual(b.union(a), .union([b, a])) } func testUnionIsDeterministic() { let a = Mesh.cube(size: 0.8) let b = Mesh.sphere(slices: 16) let c = a.union(b) #if !arch(wasm32) XCTAssertEqual(c.polygons.count, 237) #endif XCTAssertEqual(c, .union([a, b])) } func testUnionOfOne() { let mesh = Mesh.cube() XCTAssertEqual(mesh, .union([mesh])) } func testUnionOfNone() { XCTAssertEqual(Mesh.empty, .union([])) } // MARK: Intersection func testIntersectionOfCoincidingBoxes() { let a = Mesh.cube() let b = Mesh.cube() let c = a.intersect(b) XCTAssertEqual(c.bounds, a.bounds) XCTAssertEqual(c, .intersection([a, b])) } func testIntersectionOfAdjacentBoxes() { let a = Mesh.cube() let b = Mesh.cube().translated(by: .unitX) let c = a.intersect(b) // TODO: ideally this should probably be empty, but it's not clear // how to achieve that while also getting desired planar behavior XCTAssertEqual(c.bounds, Bounds( min: Vector(0.5, -0.5, -0.5), max: Vector(0.5, 0.5, 0.5) )) XCTAssertEqual(c, .intersection([a, b])) } func testIntersectionOfOverlappingBoxes() { let a = Mesh.cube() let b = Mesh.cube().translated(by: Vector(0.5, 0, 0)) let c = a.intersect(b) XCTAssertEqual(c.bounds, Bounds( min: Vector(0, -0.5, -0.5), max: Vector(0.5, 0.5, 0.5) )) XCTAssertEqual(c, .intersection([a, b])) } func testIntersectionOfNonOverlappingBoxes() { let a = Mesh.cube() let b = Mesh.cube().translated(by: Vector(2, 0, 0)) let c = a.intersect(b) XCTAssertEqual(c, .empty) XCTAssertEqual(c, .intersection([a, b])) } func testIntersectionWithEmptyMesh() { let a = Mesh.empty let b = Mesh.cube() XCTAssert(a.intersect(b).bounds.isEmpty) XCTAssert(b.intersect(a).bounds.isEmpty) } func testIntersectIsDeterministic() { let a = Mesh.cube(size: 0.8) let b = Mesh.sphere(slices: 16) let c = a.intersect(b) XCTAssertEqual(c.polygons.count, 86) XCTAssertEqual(c, .intersection([a, b])) } func testIntersectonOfOne() { let mesh = Mesh.cube() XCTAssertEqual(mesh, .intersection([mesh])) } func testIntersectionOfNone() { XCTAssertEqual(Mesh.empty, .intersection([])) } // MARK: Planar subtraction func testSubtractCoincidingSquares() { let a = Mesh.fill(.square()) let b = Mesh.fill(.square()) let c = a.subtract(b) XCTAssert(c.polygons.isEmpty) XCTAssertEqual(c, .difference([a, b])) } func testSubtractAdjacentSquares() { let a = Mesh.fill(.square()) let b = Mesh.fill(.square()).translated(by: .unitX) let c = a.subtract(b) XCTAssertEqual(c.bounds, a.bounds) XCTAssertEqual(c, .difference([a, b])) } func testSubtractOverlappingSquares() { let a = Mesh.fill(.square()) let b = Mesh.fill(.square()).translated(by: Vector(0.5, 0, 0)) let c = a.subtract(b) XCTAssertEqual(c.bounds, Bounds( min: Vector(-0.5, -0.5, 0), max: Vector(0, 0.5, 0) )) XCTAssertEqual(c, .difference([a, b])) } // MARK: Planar XOR func testXorCoincidingSquares() { let a = Mesh.fill(.square()) let b = Mesh.fill(.square()) let c = a.xor(b) XCTAssert(c.polygons.isEmpty) XCTAssertEqual(c, .xor([a, b])) } func testXorAdjacentSquares() { let a = Mesh.fill(.square()) let b = Mesh.fill(.square()).translated(by: .unitX) let c = a.xor(b) XCTAssertEqual(c.bounds, a.bounds.union(b.bounds)) XCTAssertEqual(c, .xor([a, b])) } func testXorOverlappingSquares() { let a = Mesh.fill(.square()) let b = Mesh.fill(.square()).translated(by: Vector(0.5, 0, 0)) let c = a.xor(b) XCTAssertEqual(c.bounds, Bounds( min: Vector(-0.5, -0.5, 0), max: Vector(1.0, 0.5, 0) )) XCTAssertEqual(c, .xor([a, b])) } // MARK: Planar union func testUnionOfCoincidingSquares() { let a = Mesh.fill(.square()) let b = Mesh.fill(.square()) let c = a.union(b) XCTAssertEqual(c.bounds, a.bounds) XCTAssertEqual(c, .union([a, b])) } func testUnionOfAdjacentSquares() { let a = Mesh.fill(.square()) let b = Mesh.fill(.square()).translated(by: .unitX) let c = a.union(b) XCTAssertEqual(c.bounds, a.bounds.union(b.bounds)) XCTAssertEqual(c, .union([a, b])) } func testUnionOfOverlappingSquares() { let a = Mesh.fill(.square()) let b = Mesh.fill(.square()).translated(by: Vector(0.5, 0, 0)) let c = a.union(b) XCTAssertEqual(c.bounds, Bounds( min: Vector(-0.5, -0.5, 0), max: Vector(1, 0.5, 0) )) XCTAssertEqual(c, .union([a, b])) } // MARK: Planar intersection func testIntersectionOfCoincidingSquares() { let a = Mesh.fill(.square()) let b = Mesh.fill(.square()) let c = a.intersect(b) XCTAssertEqual(c.bounds, a.bounds) XCTAssertEqual(c, .intersection([a, b])) } func testIntersectionOfAdjacentSquares() { let a = Mesh.fill(.square()) let b = Mesh.fill(.square()).translated(by: .unitX) let c = a.intersect(b) XCTAssert(c.polygons.isEmpty) XCTAssertEqual(c, .intersection([a, b])) } func testIntersectionOfOverlappingSquares() { let a = Mesh.fill(.square()) let b = Mesh.fill(.square()).translated(by: Vector(0.5, 0, 0)) let c = a.intersect(b) XCTAssertEqual(c.bounds, Bounds( min: Vector(0, -0.5, 0), max: Vector(0.5, 0.5, 0) )) XCTAssertEqual(c, .intersection([a, b])) } // MARK: Plane clipping func testSquareClippedToPlane() { let a = Mesh.fill(.square()) let plane = Plane(unchecked: .unitX, pointOnPlane: .zero) let b = a.clip(to: plane) XCTAssertEqual(b.bounds, .init(Vector(0, -0.5), Vector(0.5, 0.5))) } func testPentagonClippedToPlane() { let a = Mesh.fill(.circle(segments: 5)) let plane = Plane(unchecked: .unitX, pointOnPlane: .zero) let b = a.clip(to: plane) XCTAssertEqual(b.bounds, .init( Vector(0, -0.404508497187), Vector(0.475528258148, 0.5) )) } func testDiamondClippedToPlane() { let a = Mesh.fill(.circle(segments: 4)) let plane = Plane(unchecked: .unitX, pointOnPlane: .zero) let b = a.clip(to: plane) XCTAssertEqual(b.bounds, .init(Vector(0, -0.5), Vector(0.5, 0.5))) } func testSquareClippedToItsOwnPlane() { let a = Mesh.fill(.square()) let plane = Plane(unchecked: .unitZ, pointOnPlane: .zero) let b = a.clip(to: plane) XCTAssertEqual(b.polygons, [a.polygons[0]]) } func testSquareClippedToItsOwnPlaneWithFill() { let a = Mesh.fill(.square()) let plane = Plane(unchecked: .unitZ, pointOnPlane: .zero) let b = a.clip(to: plane, fill: Color.white) XCTAssertEqual(b.polygons.first, a.polygons[0]) guard b.polygons.count == 2 else { XCTFail() return } XCTAssertEqual(b.polygons[1].bounds, a.polygons[1].bounds) } func testSquareClippedToReversePlane() { let a = Mesh.fill(.square()) let plane = Plane(unchecked: -.unitZ, pointOnPlane: .zero) let b = a.clip(to: plane) XCTAssertEqual(b.polygons, [a.polygons[1]]) } func testSquareClippedToReversePlaneWithFill() { let a = Mesh.fill(.square()) let plane = Plane(unchecked: -.unitZ, pointOnPlane: .zero) let b = a.clip(to: plane, fill: Color.white) XCTAssertEqual(b.polygons.first?.bounds, a.polygons[0].bounds) guard b.polygons.count == 2 else { XCTFail() return } XCTAssertEqual(b.polygons[1].bounds, a.polygons[1].bounds) } // MARK: Plane splitting func testSquareSplitAlongPlane() { let a = Mesh.fill(.square()) let plane = Plane(unchecked: .unitX, pointOnPlane: .zero) let b = a.split(along: plane) XCTAssertEqual(b.0?.bounds, .init(Vector(0, -0.5), Vector(0.5, 0.5))) XCTAssertEqual(b.1?.bounds, .init(Vector(-0.5, -0.5), Vector(0, 0.5))) XCTAssertEqual(b.front, b.0) XCTAssertEqual(b.back, b.1) } func testSquareSplitAlongItsOwnPlane() { let a = Mesh.fill(.square()) let plane = Plane(unchecked: .unitZ, pointOnPlane: .zero) let b = a.split(along: plane) XCTAssertEqual(b.front?.polygons, [a.polygons[0]]) XCTAssertEqual(b.back?.polygons, [a.polygons[1]]) } func testSquareSplitAlongReversePlane() { let a = Mesh.fill(.square()) let plane = Plane(unchecked: -.unitZ, pointOnPlane: .zero) let b = a.split(along: plane) XCTAssertEqual(b.front?.polygons, [a.polygons[1]]) XCTAssertEqual(b.back?.polygons, [a.polygons[0]]) } // MARK: Submeshes func testUnionSubmeshes() { let a = Mesh.cube() let b = Mesh.cube().translated(by: Vector(2, 0, 0)) let c = a.union(b) let d = Mesh.cube().translated(by: Vector(4, 0, 0)) XCTAssertEqual(c.union(d).submeshes.count, 3) } func testUnionOfPrecalculatedSubmeshes() { let a = Mesh.cube() _ = a.submeshes let b = Mesh.cube().translated(by: Vector(2, 0, 0)) _ = b.submeshes let c = a.union(b) XCTAssertEqual(c.submeshes.count, 2) let d = Mesh.cube().translated(by: Vector(4, 0, 0)) XCTAssertEqual(c.union(d).submeshes.count, 3) } } ShapeScript-1.6.14/Euclid/Tests/MeshExportTests.swift000066400000000000000000000217221450355336000225460ustar00rootroot00000000000000// // MeshExportTests.swift // EuclidTests // // Created by Nick Lockwood on 22/08/2023. // Copyright © 2023 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest class MeshExportTests: XCTestCase { // MARK: STL export func testCubeSTL() { let cube = Mesh.cube().translated(by: Vector(0.5, 0.5, 0.5)) let stl = cube.stlString(name: "Foo") XCTAssertEqual(stl, """ solid Foo facet normal 1 0 0 \touter loop \t\tvertex 1 0 1 \t\tvertex 1 0 0 \t\tvertex 1 1 0 \tendloop endfacet facet normal 1 0 0 \touter loop \t\tvertex 1 0 1 \t\tvertex 1 1 0 \t\tvertex 1 1 1 \tendloop endfacet facet normal -1 0 0 \touter loop \t\tvertex 0 0 0 \t\tvertex 0 0 1 \t\tvertex 0 1 1 \tendloop endfacet facet normal -1 0 0 \touter loop \t\tvertex 0 0 0 \t\tvertex 0 1 1 \t\tvertex 0 1 0 \tendloop endfacet facet normal 0 1 0 \touter loop \t\tvertex 0 1 1 \t\tvertex 1 1 1 \t\tvertex 1 1 0 \tendloop endfacet facet normal 0 1 0 \touter loop \t\tvertex 0 1 1 \t\tvertex 1 1 0 \t\tvertex 0 1 0 \tendloop endfacet facet normal 0 -1 0 \touter loop \t\tvertex 0 0 0 \t\tvertex 1 0 0 \t\tvertex 1 0 1 \tendloop endfacet facet normal 0 -1 0 \touter loop \t\tvertex 0 0 0 \t\tvertex 1 0 1 \t\tvertex 0 0 1 \tendloop endfacet facet normal 0 0 1 \touter loop \t\tvertex 0 0 1 \t\tvertex 1 0 1 \t\tvertex 1 1 1 \tendloop endfacet facet normal 0 0 1 \touter loop \t\tvertex 0 0 1 \t\tvertex 1 1 1 \t\tvertex 0 1 1 \tendloop endfacet facet normal 0 0 -1 \touter loop \t\tvertex 1 0 0 \t\tvertex 0 0 0 \t\tvertex 0 1 0 \tendloop endfacet facet normal 0 0 -1 \touter loop \t\tvertex 1 0 0 \t\tvertex 0 1 0 \t\tvertex 1 1 0 \tendloop endfacet endsolid Foo """) } func testCubeSTLData() { let cube = Mesh.cube().translated(by: Vector(0.5, 0.5, 0.5)) let stlData = cube.stlData() XCTAssertEqual(stlData.count, 80 + 4 + 12 * 50) let hex = stlData.reduce(into: "") { $0 += String(format: "%02x", $1) } XCTAssertEqual(hex, """ 000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000c0000000000803f00000000000000000000803f000000000000803f000080\ 3f00000000000000000000803f0000803f0000000000000000803f00000000000000000000803f000000000000803f0000803f0000803f0\ 00000000000803f0000803f0000803f0000000080bf000000800000008000000000000000000000000000000000000000000000803f0000\ 00000000803f0000803f0000000080bf0000008000000080000000000000000000000000000000000000803f0000803f000000000000803\ f000000000000000000000000803f00000000000000000000803f0000803f0000803f0000803f0000803f0000803f0000803f0000000000\ 00000000000000803f00000000000000000000803f0000803f0000803f0000803f00000000000000000000803f000000000000000000800\ 00080bf000000800000000000000000000000000000803f00000000000000000000803f000000000000803f000000000080000080bf0000\ 00800000000000000000000000000000803f000000000000803f00000000000000000000803f000000000000000000000000803f0000000\ 0000000000000803f0000803f000000000000803f0000803f0000803f0000803f000000000000000000000000803f000000000000000000\ 00803f0000803f0000803f0000803f000000000000803f0000803f00000000008000000080000080bf0000803f000000000000000000000\ 0000000000000000000000000000000803f0000000000000000008000000080000080bf0000803f0000000000000000000000000000803f\ 000000000000803f0000803f000000000000 """) } func testRedCubeSTLData() { let cube = Mesh.cube(material: Color.red).translated(by: Vector(0.5, 0.5, 0.5)) let stlData = cube.stlData() XCTAssertEqual(stlData.count, 80 + 4 + 12 * 50) let hex = stlData.reduce(into: "") { $0 += String(format: "%02x", $1) } XCTAssertEqual(hex, """ 000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000c0000000000803f00000000000000000000803f000000000000803f000080\ 3f00000000000000000000803f0000803f0000000000fc0000803f00000000000000000000803f000000000000803f0000803f0000803f0\ 00000000000803f0000803f0000803f00fc000080bf000000800000008000000000000000000000000000000000000000000000803f0000\ 00000000803f0000803f00fc000080bf0000008000000080000000000000000000000000000000000000803f0000803f000000000000803\ f0000000000fc000000000000803f00000000000000000000803f0000803f0000803f0000803f0000803f0000803f0000803f0000000000\ fc000000000000803f00000000000000000000803f0000803f0000803f0000803f00000000000000000000803f0000000000fc000000800\ 00080bf000000800000000000000000000000000000803f00000000000000000000803f000000000000803f00fc00000080000080bf0000\ 00800000000000000000000000000000803f000000000000803f00000000000000000000803f00fc00000000000000000000803f0000000\ 0000000000000803f0000803f000000000000803f0000803f0000803f0000803f00fc00000000000000000000803f000000000000000000\ 00803f0000803f0000803f0000803f000000000000803f0000803f00fc0000008000000080000080bf0000803f000000000000000000000\ 0000000000000000000000000000000803f0000000000fc0000008000000080000080bf0000803f0000000000000000000000000000803f\ 000000000000803f0000803f0000000000fc """) } // MARK: OBJ export func testCubeOBJ() { let cube = Mesh.cube().translated(by: Vector(0.5, 0.5, 0.5)) let obj = cube.objString() XCTAssertEqual(obj, """ v 1 0 1 v 1 0 0 v 1 1 0 v 1 1 1 v 0 0 0 v 0 0 1 v 0 1 1 v 0 1 0 vt 0 1 vt 1 1 vt 1 0 vt 0 0 f 1/1 2/2 3/3 4/4 f 5/1 6/2 7/3 8/4 f 7/1 4/2 3/3 8/4 f 5/1 2/2 1/3 6/4 f 6/1 1/2 4/3 7/4 f 2/1 5/2 8/3 3/4 """) } func testCylinderOBJ() { let cylinder = Mesh.cylinder(slices: 4) let obj = cylinder.objString() XCTAssertEqual(obj, """ v 0 0.5 0 v -0.5 0.5 0 v 0 0.5 0.5 v -0.5 -0.5 0 v 0 -0.5 0.5 v 0 -0.5 0 v 0.5 0.5 0 v 0.5 -0.5 0 v 0 0.5 -0.5 v 0 -0.5 -0.5 vt 0.125 0 vt 0 0 vt 0.25 0 vt 0 1 vt 0.25 1 vt 0.125 1 vt 0.375 0 vt 0.5 0 vt 0.5 1 vt 0.375 1 vt 0.625 0 vt 0.75 0 vt 0.75 1 vt 0.625 1 vt 0.875 0 vt 1 0 vt 1 1 vt 0.875 1 vn 0 1 0 vn -6.12323e-17 0 1 vn -1 0 0 vn 0 -1 0 vn 1 0 1.22465e-16 vn 1.83697e-16 0 -1 vn -1 0 -2.44929e-16 f 1/1/1 2/2/1 3/3/1 f 3/3/2 2/2/3 4/4/3 5/5/2 f 5/5/4 4/4/4 6/6/4 f 1/7/1 3/3/1 7/8/1 f 7/8/5 3/3/2 5/5/2 8/9/5 f 8/9/4 5/5/4 6/10/4 f 1/11/1 7/8/1 9/12/1 f 9/12/6 7/8/5 8/9/5 10/13/6 f 10/13/4 8/9/4 6/14/4 f 1/15/1 9/12/1 2/16/1 f 2/16/7 9/12/6 10/13/6 4/17/7 f 4/17/4 10/13/4 6/18/4 """) } func testGradientLatheOBJ() { let cylinder = Mesh.lathe(Path([ .point(0, 1, color: .red), .point(1, 0, color: .green), .point(0, -1, color: .blue), ]), slices: 4) let obj = cylinder.objString() XCTAssertEqual(obj, """ v 0 1 0 1 0 0 v -1 0 0 0 1 0 v 0 0 1 0 1 0 v 0 -1 0 0 0 1 v 1 0 0 0 1 0 v 0 0 -1 0 1 0 vt 0.125 0 vt 0 0.5 vt 0.25 0.5 vt 0.125 1 vt 0.375 0 vt 0.5 0.5 vt 0.375 1 vt 0.625 0 vt 0.75 0.5 vt 0.625 1 vt 0.875 0 vt 1 0.5 vt 0.875 1 vn -0.707107 0.707107 0 vn -4.32978e-17 0.707107 0.707107 vn -4.32978e-17 -0.707107 0.707107 vn -0.707107 -0.707107 0 vn 0.707107 0.707107 8.65956e-17 vn 0.707107 -0.707107 8.65956e-17 vn 1.29893e-16 0.707107 -0.707107 vn 1.29893e-16 -0.707107 -0.707107 vn -0.707107 0.707107 -1.73191e-16 vn -0.707107 -0.707107 -1.73191e-16 f 1/1/1 2/2/1 3/3/2 f 3/3/3 2/2/4 4/4/4 f 1/5/2 3/3/2 5/6/5 f 5/6/6 3/3/3 4/7/3 f 1/8/5 5/6/5 6/9/7 f 6/9/8 5/6/6 4/10/6 f 1/11/7 6/9/7 2/12/9 f 2/12/10 6/9/8 4/13/8 """) } } ShapeScript-1.6.14/Euclid/Tests/MeshShapeTests.swift000066400000000000000000000376731450355336000223410ustar00rootroot00000000000000// // MeshShapeTests.swift // EuclidTests // // Created by Nick Lockwood on 06/02/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest private extension Mesh { var isActuallyConvex: Bool { guard BSP(Mesh(polygons), { false }).isConvex else { return false } guard let plane = polygons.first?.plane else { return true } for polygon in polygons { if !polygon.plane.isEqual(to: plane), !polygon.plane.isEqual(to: plane.inverted()) { return true } } // All polygons are planar let groups = polygons.groupedByPlane() return groups.count == 2 } } class MeshShapeTests: XCTestCase { // MARK: Fill func testFillClockwiseQuad() { let shape = Path([ .point(0, 0), .point(1, 0), .point(1, 1), .point(0, 1), .point(0, 0), ]) let mesh = Mesh.fill(shape) XCTAssertEqual(mesh.polygons.count, 2) XCTAssertEqual(mesh.polygons.first?.plane.normal, .unitZ) } func testFillAnticlockwiseQuad() { let shape = Path([ .point(1, 0), .point(0, 0), .point(0, 1), .point(1, 1), .point(1, 0), ]) let mesh = Mesh.fill(shape) XCTAssertEqual(mesh.polygons.count, 2) XCTAssertEqual(mesh.polygons.first?.plane.normal, -.unitZ) } func testFillSelfIntersectingPath() { let path = Path([ .point(0, 0), .point(1, 1), .point(1, 0), .point(0, 1), ]) let mesh = Mesh.fill(path) XCTAssert(mesh.polygons.isEmpty) } func testFillNonPlanarQuad() { let shape = Path([ .point(0, 0), .point(1, 0), .point(1, 1, 1), .point(0, 1), .point(0, 0), ]) let mesh = Mesh.fill(shape) XCTAssertEqual(mesh.polygons.count, 4) } // MARK: Lathe func testLatheSelfIntersectingPath() { let path = Path([ .point(0, 0), .point(1, 1), .point(1, 0), .point(0, 1), ]) let mesh = Mesh.lathe(path) XCTAssert(!mesh.polygons.isEmpty) } // MARK: Loft func testLoftParallelEdges() { let shapes = [ Path.square(), Path.square().translated(by: Vector(0.0, 1.0, 0.0)), ] let loft = Mesh.loft(shapes) // Every vertex in the loft should be contained by one of our shapes let vertices = loft.polygons.flatMap { $0.vertices } XCTAssert(vertices.allSatisfy { vertex in shapes.contains(where: { $0.points.contains(where: { $0.position == vertex.position }) }) }) } func testLoftNonParallelEdges() { let shapes = [ Path.square(), Path([ PathPoint.point(-2.0, 1.0, 1.0), PathPoint.point(-2.0, 1.0, -1.0), PathPoint.point(2.0, 1.0, -1.0), PathPoint.point(2.0, 1.0, 1.0), PathPoint.point(-2.0, 1.0, 1.0), ]), ] let loft = Mesh.loft(shapes) XCTAssert(loft.polygons.allSatisfy { pointsAreCoplanar($0.vertices.map { $0.position }) }) // Every vertex in the loft should be contained by one of our shapes let vertices = loft.polygons.flatMap { $0.vertices } XCTAssert(vertices.allSatisfy { vertex in shapes.contains(where: { $0.points.contains(where: { $0.position == vertex.position }) }) }) } func testLoftNonParallelEdges2() { let shapes = [ Path.circle().rotated(by: Rotation(yaw: .pi / 8)), Path.circle().rotated(by: Rotation(yaw: -.pi / 8)) .translated(by: Vector(0, 0, 1)), ] let loft = Mesh.loft(shapes) XCTAssert(loft.isWatertight) XCTAssert(loft.polygons.areWatertight) XCTAssertEqual(loft.polygons.count, 18) } func testLoftCoincidentClosedPaths() { let shapes = [ Path.square(), Path.square(), ] let loft = Mesh.loft(shapes) XCTAssert(loft.isWatertight) XCTAssert(loft.polygons.areWatertight) XCTAssertEqual(loft.polygons.count, 2) } func testLoftOffsetOpenPaths() { let shapes = [ Path.line(Vector(0, 0), Vector(0, 1)), Path.line(Vector(0, 0, 1), Vector(0, 1, 1)), ] let loft = Mesh.loft(shapes) XCTAssertEqual(loft.polygons.count, 2) XCTAssert(loft.polygons.areWatertight) } func testLoftCoincidentOpenPaths() { let shapes = [ Path.line(Vector(0, 0), Vector(0, 1)), Path.line(Vector(0, 0), Vector(0, 1)), ] let loft = Mesh.loft(shapes) XCTAssertEqual(loft, .empty) } func testLoftEmptyPathsArray() { let loft = Mesh.loft([]) XCTAssertEqual(loft, .empty) } func testLoftSinglePath() { let loft = Mesh.loft([.circle()]) XCTAssertEqual(loft, .fill(.circle())) } func testLoftClosedToOpenToClosedPath() { let shapes = [ Path.square(), Path([ .point(-1, -1, 1), .point(1, -1, 1), .point(1, 1, 1), .point(-1, 1, 1), ]), Path.square().translated(by: Vector(0, 0, 2)), ] let loft = Mesh.loft(shapes) XCTAssert(loft.isWatertight) XCTAssert(loft.polygons.areWatertight) XCTAssertEqual(loft.polygons.count, 20) } func testLoftCircleToSquare() { let shapes = [ Path.circle(), Path.square().translated(by: Vector(0, 0, 1)), ] let loft = Mesh.loft(shapes) XCTAssert(loft.isWatertight) XCTAssert(loft.polygons.areWatertight) XCTAssertEqual(loft.polygons.count, 22) } func testLoftSquareToCircle() { let shapes = [ Path.square(), Path.circle().translated(by: Vector(0, 0, 1)), ] let loft = Mesh.loft(shapes) XCTAssert(loft.isWatertight) XCTAssert(loft.polygons.areWatertight) XCTAssertEqual(loft.polygons.count, 22) } func testLoftCircleToOpenPath() { let shapes = [ Path.circle(), Path([ .point(-1, -1, 1), .point(1, -1, 1), .point(1, 1, 1), .point(-1, -1, 1), ]), ] let loft = Mesh.loft(shapes) XCTAssert(loft.isWatertight) XCTAssert(loft.polygons.areWatertight) XCTAssertEqual(loft.polygons.count, 21) } func testLoftOpenPathToCircle() { let shapes = [ Path([ .point(-1, -1), .point(1, -1), .point(1, 1), .point(-1, -1), ]), Path.circle().translated(by: Vector(0, 0, 1)), ] let loft = Mesh.loft(shapes) XCTAssert(loft.isWatertight) XCTAssert(loft.polygons.areWatertight) XCTAssertEqual(loft.polygons.count, 21) } func testLoftEmptyPathToPath() { let shapes = [ Path.empty, Path.square(), ] let loft = Mesh.loft(shapes) XCTAssert(loft.isWatertight) XCTAssert(loft.polygons.areWatertight) XCTAssertEqual(loft.polygons.count, 2) } func testLoftPathToEmptyPath() { let shapes = [ Path.square(), Path.empty, ] let loft = Mesh.loft(shapes) XCTAssert(loft.isWatertight) XCTAssert(loft.polygons.areWatertight) XCTAssertEqual(loft.polygons.count, 2) } func testLoftSquareToLine() { let shapes = [ Path.square(), Path([ .point(0, 0.5, -1), .point(1, 0.5, -1), .point(0, 0.5, -1), ]), ] let loft = Mesh.loft(shapes) XCTAssert(loft.isWatertight) XCTAssert(loft.polygons.areWatertight) XCTAssertEqual(loft.polygons.count, 5) } func testLoftLineToSquare() { let shapes = [ Path([ .point(0, 0.5, -1), .point(1, 0.5, -1), .point(0, 0.5, -1), ]), Path.square(), ] let loft = Mesh.loft(shapes) XCTAssert(loft.isWatertight) XCTAssert(loft.polygons.areWatertight) XCTAssertEqual(loft.polygons.count, 5) } // MARK: Extrude func testExtrudeSelfIntersectingPath() { let path = Path([ .point(0, 0), .point(1, 1), .point(1, 0), .point(0, 1), ]) let mesh = Mesh.extrude(path) XCTAssertFalse(mesh.polygons.isEmpty) XCTAssertEqual(mesh, .extrude(path, faces: .frontAndBack)) } func testExtrudeClosedLine() { let path = Path([ .point(0, 0), .point(0, 1), .point(0, 0), ]) let mesh = Mesh.extrude(path) XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) XCTAssertEqual(mesh.polygons.count, 2) XCTAssertEqual(mesh, .extrude(path, faces: .front)) } func testExtrudeOpenLine() { let path = Path([ .point(0, 0), .point(0, 1), ]) let mesh = Mesh.extrude(path) XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) XCTAssertEqual(mesh.polygons.count, 2) XCTAssertEqual(mesh, .extrude(path, faces: .frontAndBack)) } func testExtrudeOpenLineAlongClosedPath() { let path = Path([ .point(0, 0), .point(0, 1), ]) let mesh = Mesh.extrude(path, along: .square()) XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) XCTAssertEqual(mesh.polygons.count, 8) XCTAssertEqual(mesh, .extrude(path, along: .square(), faces: .frontAndBack)) } func testExtrudeOpenLineAlongOpenPath() { let path = Path([ .point(0, 0), .point(0, 1), ]) let mesh = Mesh.extrude(path, along: path) XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) XCTAssertEqual(mesh.polygons.count, 2) XCTAssertEqual(mesh, .extrude(path, along: path, faces: .frontAndBack)) } func testExtrudeAlongEmptyPath() { let mesh = Mesh.extrude(.circle(), along: .empty) XCTAssertEqual(mesh, .empty) } func testExtrudeAlongSinglePointPath() { let mesh = Mesh.extrude(.circle(), along: .init([.point(1, 0.5)])) XCTAssertEqual(mesh, .fill(Path.circle().translated(by: .init(1, 0.5)))) } // MARK: Stroke func testStrokeLine() { let path = Path.line(Vector(-1, 0), Vector(1, 0)) let mesh = Mesh.stroke(path, detail: 2) XCTAssertEqual(mesh.polygons.count, 2) } func testStrokeLineSingleSided() { let path = Path.line(Vector(-1, 0), Vector(1, 0)) let mesh = Mesh.stroke(path, detail: 1) XCTAssertEqual(mesh.polygons.count, 1) } func testStrokeLineWithTriangle() { let path = Path.line(Vector(-1, 0), Vector(1, 0)) let mesh = Mesh.stroke(path, detail: 3) XCTAssertEqual(mesh.polygons.count, 5) } func testStrokeSquareWithTriangle() { let mesh = Mesh.stroke(.square(), detail: 3) XCTAssertEqual(mesh.polygons.count, 12) } func testStrokePathWithCollinearPoints() { let path = Path([ .point(0, 0), .point(0.5, 0), .point(0.5, 1), .point(-0.5, 1), .point(-0.5, 0), .point(0, 0), ]) let mesh = Mesh.stroke(path, detail: 3) XCTAssertEqual(mesh.polygons.count, 15) } // MARK: Convex Hull func testConvexHullOfCubes() { let mesh1 = Mesh.cube().translated(by: Vector(-1, 0.5, 0.7)) let mesh2 = Mesh.cube().translated(by: Vector(1, 0)) let mesh = Mesh.convexHull(of: [mesh1, mesh2]) XCTAssert(mesh.isKnownConvex) XCTAssert(mesh.isActuallyConvex) XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) XCTAssertEqual(mesh.bounds, mesh1.bounds.union(mesh2.bounds)) XCTAssertEqual(mesh.bounds, Bounds(polygons: mesh.polygons)) } func testConvexHullOfSpheres() { let mesh1 = Mesh.sphere().translated(by: Vector(-1, 0.2, -0.1)) let mesh2 = Mesh.sphere().translated(by: Vector(1, 0)) let mesh = Mesh.convexHull(of: [mesh1, mesh2]) XCTAssert(mesh.isKnownConvex) XCTAssert(mesh.isActuallyConvex) XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) XCTAssertEqual(mesh.bounds, mesh1.bounds.union(mesh2.bounds)) XCTAssertEqual(mesh.bounds, Bounds(polygons: mesh.polygons)) } func testConvexHullOfCubeIsItself() { let cube = Mesh.cube() let mesh = Mesh.convexHull(of: [cube]) XCTAssertEqual(cube, mesh) let mesh2 = Mesh.convexHull(of: cube.polygons) XCTAssertEqual( Set(cube.polygons.flatMap { $0.vertices }), Set(mesh2.polygons.flatMap { $0.vertices }) ) XCTAssertEqual(cube.polygons.count, mesh2.detessellate().polygons.count) } func testConvexHullOfNothing() { let mesh = Mesh.convexHull(of: [] as [Mesh]) XCTAssertEqual(mesh, .empty) } func testConvexHullOfSingleTriangle() { let triangle = Polygon(unchecked: [ Vector(0, 0), Vector(1, 0), Vector(1, 1), ]) let mesh = Mesh.convexHull(of: [triangle]) XCTAssert(mesh.isKnownConvex) XCTAssert(mesh.isActuallyConvex) XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) XCTAssertEqual(mesh.bounds, triangle.bounds) XCTAssertEqual(mesh.bounds, Bounds(polygons: mesh.polygons)) } func testConvexHullOfConcavePolygon() { let shape = Polygon(unchecked: [ Vector(0, 0), Vector(1, 0), Vector(1, 1), Vector(0.5, 1), Vector(0.5, 0.5), ]) let mesh = Mesh.convexHull(of: [shape]) XCTAssert(mesh.isKnownConvex) XCTAssert(mesh.isActuallyConvex) XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) XCTAssertEqual(mesh.bounds, shape.bounds) XCTAssertEqual(mesh.bounds, Bounds(polygons: mesh.polygons)) } func testConvexHullOfConcavePolygonMesh() { let shape = Mesh([Polygon(unchecked: [ Vector(0, 0), Vector(1, 0), Vector(1, 1), Vector(0.5, 1), Vector(0.5, 0.5), ])]) let mesh = Mesh.convexHull(of: [shape]) XCTAssert(mesh.isKnownConvex) XCTAssert(mesh.isActuallyConvex) XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) XCTAssertEqual(mesh.bounds, shape.bounds) XCTAssertEqual(mesh.bounds, Bounds(polygons: mesh.polygons)) } func testConvexHullOfCoplanarTriangles() { let triangle1 = Polygon(unchecked: [ Vector(0, 0), Vector(1, 0), Vector(1, 1), ]) let triangle2 = Polygon(unchecked: [ Vector(2, 0), Vector(3, 0), Vector(3, 1), ]) let mesh = Mesh.convexHull(of: [triangle1, triangle2]) XCTAssert(mesh.isKnownConvex) XCTAssert(mesh.isActuallyConvex) XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) XCTAssertEqual(mesh.bounds, triangle1.bounds.union(triangle2.bounds)) XCTAssertEqual(mesh.bounds, Bounds(polygons: mesh.polygons)) } } ShapeScript-1.6.14/Euclid/Tests/MeshTests.swift000066400000000000000000000264371450355336000213540ustar00rootroot00000000000000// // MeshTests.swift // EuclidTests // // Created by Nick Lockwood on 24/12/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest class MeshTests: XCTestCase { // MARK: uniqueEdges func testUniqueEdgesForCube() { let mesh = Mesh.cube() let edges = mesh.uniqueEdges XCTAssertEqual(edges.count, 12) } func testUniqueEdgesForSphere() { let mesh = Mesh.sphere(slices: 4) let edges = mesh.uniqueEdges XCTAssertEqual(edges.count, 12) } // MARK: isWatertight func testCubeIsWatertight() { let mesh = Mesh.cube() XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) } func testSphereIsWatertight() { let mesh = Mesh.sphere() XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) } func testLatheIsWatertight() { let mesh = Mesh.lathe(.circle()) XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) } func testDoubleSidedFaceIsWatertight() { let mesh = Mesh.fill(.square()) XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) } func testSingleSidedFaceIsNotWatertight() { let mesh = Mesh.fill(.square(), faces: .front) XCTAssertFalse(mesh.isWatertight) XCTAssertFalse(mesh.polygons.areWatertight) } func testOpenShapeExtrusionIsWatertight() { let path = Path([.point(0, 0), .point(1, 0), .point(1, 1), .point(0, 1)]) let mesh = Mesh.extrude(path) XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) } func testSingleSidedOpenShapeExtrusionIsNotWatertight() { let path = Path([.point(0, 0), .point(1, 0), .point(1, 1), .point(0, 1)]) let mesh = Mesh.extrude(path, faces: .front) XCTAssertFalse(mesh.isWatertight) XCTAssertFalse(mesh.polygons.areWatertight) } func testMergedMeshNotAssumedToBeWatertight() { let cube = Mesh.cube() XCTAssert(cube.isWatertight) let mesh = cube.merge(.sphere()) XCTAssertNil(mesh.watertightIfSet) XCTAssert(mesh.isWatertight) } func testMultimergedMeshesNotAssumedToBeWatertight() { let cube = Mesh.cube() XCTAssert(cube.isWatertight) let mesh = Mesh.merge([cube, .sphere(), .cylinder()]) XCTAssertNil(mesh.watertightIfSet) XCTAssert(mesh.isWatertight) } // MARK: makeWatertight func testAddMissingTriangleVertex() { let a = Polygon([ Vector(0, 0), Vector(0, -2), Vector(2, 0), ])! let b = Polygon([ Vector(2, 0), Vector(1, -1), Vector(2, -2), ])! let m = Mesh([a, b]) let m2 = m.makeWatertight() XCTAssertEqual(m2.polygons[0].vertices.count, 4) } func testMakeWatertightIsDeterministic() { let a = Mesh.cube(size: 0.8) let b = Mesh.sphere(slices: 16) let c = a.subtract(b) XCTAssertFalse(c.isWatertight) #if !arch(wasm32) XCTAssertEqual(c.triangulate().polygons.count, 338) #endif let d = c.makeWatertight() XCTAssertTrue(d.isWatertight) XCTAssertTrue(d.polygons.areWatertight) #if !arch(wasm32) XCTAssertEqual(d.triangulate().polygons.count, 526) #endif } // MARK: plane intersection func testCubePlaneIntersection() { let mesh = Mesh.cube() let plane = Plane(unchecked: .unitX, pointOnPlane: .zero) let edges = mesh.edges(intersecting: plane) XCTAssertEqual(edges, [ LineSegment(Vector(0, 0.5, -0.5), Vector(0, 0.5, 0.5)), LineSegment(Vector(0, -0.5, -0.5), Vector(0, -0.5, 0.5)), LineSegment(Vector(0, -0.5, 0.5), Vector(0, 0.5, 0.5)), LineSegment(Vector(0, -0.5, -0.5), Vector(0, 0.5, -0.5)), ]) } func testCubeTouchingPlane() { let mesh = Mesh.cube().translated(by: Vector(-0.5, 0, 0)) let plane = Plane(unchecked: .unitX, pointOnPlane: .zero) let edges = mesh.edges(intersecting: plane) XCTAssertEqual(edges, [ LineSegment(Vector(0, 0.5, -0.5), Vector(0, 0.5, 0.5)), LineSegment(Vector(0, -0.5, -0.5), Vector(0, -0.5, 0.5)), LineSegment(Vector(0, -0.5, 0.5), Vector(0, 0.5, 0.5)), LineSegment(Vector(0, -0.5, -0.5), Vector(0, 0.5, -0.5)), ]) } func testCubeTouchingPlane2() { let mesh = Mesh.cube().translated(by: Vector(0.5, 0, 0)) let plane = Plane(unchecked: .unitX, pointOnPlane: .zero) let edges = mesh.edges(intersecting: plane) XCTAssertEqual(edges, [ LineSegment(Vector(0, 0.5, -0.5), Vector(0, 0.5, 0.5)), LineSegment(Vector(0, -0.5, -0.5), Vector(0, -0.5, 0.5)), LineSegment(Vector(0, -0.5, 0.5), Vector(0, 0.5, 0.5)), LineSegment(Vector(0, -0.5, -0.5), Vector(0, 0.5, -0.5)), ]) } func testPentagonSpanningPlane() { let mesh = Mesh.fill(.circle(segments: 5)) let plane = Plane(unchecked: .unitX, pointOnPlane: .zero) let edges = mesh.edges(intersecting: plane) XCTAssertEqual(edges, [ LineSegment(Vector(0, -0.404508497187, 0), Vector(0, 0.5, 0)), ]) } func testDiamondSpanningPlane() { let mesh = Mesh.fill(.circle(segments: 4)) let plane = Plane(unchecked: .unitX, pointOnPlane: .zero) let edges = mesh.edges(intersecting: plane) XCTAssertEqual(edges, [ LineSegment(Vector(0, -0.5, 0), Vector(0, 0.5, 0)), ]) } // MARK: submeshes func testSubmeshes() { let sphere = Mesh.sphere() let cube = Mesh.cube(size: 0.8) let mesh = sphere.merge(cube) XCTAssertEqual(mesh.submeshes.count, 2) XCTAssertEqual(mesh.submeshes.first, sphere) XCTAssertEqual(Set(mesh.submeshes.last?.polygons ?? []), Set(cube.polygons)) } func testSubmeshesDontCreateCircularReference() { weak var material: AnyObject? do { let temp = NSObject() material = temp let mesh = Mesh.sphere(material: temp) XCTAssertEqual(mesh.submeshes, [mesh]) } XCTAssertNil(material) } func testSubmeshesDontCreateCircularReference2() { weak var material: AnyObject? do { let temp = NSObject() material = temp let mesh = Mesh.sphere(material: temp) XCTAssertEqual(mesh.submeshes, [mesh]) let mesh2 = Mesh( unchecked: mesh.polygons, bounds: mesh.bounds, isConvex: true, isWatertight: mesh.isWatertight, submeshes: mesh.submeshes ) XCTAssertEqual(mesh2.submeshes, [mesh2]) XCTAssertEqual(mesh2.submeshes, [mesh]) } XCTAssertNil(material) } // MARK: containsPoint func testCubeContainsPoint() { let edgePoints: [Vector] = [ Vector(0.5, 0, 0), Vector(0, 0.5, 0), Vector(0, 0, 0.5), Vector(0.5, 0.5, 0), Vector(0, 0.5, 0.5), Vector(0.5, 0, 0.5), Vector(-0.5, 0, 0), Vector(0, -0.5, 0), Vector(0, 0, -0.5), Vector(-0.5, -0.5, 0), Vector(0, -0.5, -0.5), Vector(-0.5, 0, -0.5), ] let insidePoints = [.zero] + edgePoints.map { $0 * 0.999 } let outsidePoints = edgePoints.map { $0 * 1.001 } let mesh = Mesh.cube() let bsp = BSP(mesh) { false } for point in insidePoints { XCTAssertTrue(mesh.containsPoint(point)) XCTAssertTrue(bsp.containsPoint(point)) } for point in outsidePoints { XCTAssertFalse(mesh.containsPoint(point)) XCTAssertFalse(bsp.containsPoint(point)) } } func testSquareContainsPoint() { let edgePoints: [Vector] = [ Vector(0.5, 0), Vector(0, 0.5), Vector(0.5, 0.5), Vector(-0.5, 0), Vector(0, -0.5), Vector(-0.5, -0.5), ] let insidePoints = [.zero] + edgePoints.map { $0 * 0.999 } let outsidePoints = edgePoints.map { $0 * 1.001 } + insidePoints.translated(by: Vector(0, 0, planeEpsilon)) + insidePoints.translated(by: Vector(0, 0, -planeEpsilon)) let mesh = Mesh.fill(.square()) let bsp = BSP(mesh) { false } let r = Rotation(roll: .pi / 3) for point in insidePoints { XCTAssertTrue(mesh.containsPoint(point)) XCTAssertTrue(bsp.containsPoint(point)) XCTAssertTrue(mesh.rotated(by: r).containsPoint(point.rotated(by: r))) } for point in outsidePoints { XCTAssertFalse(mesh.containsPoint(point)) XCTAssertFalse(bsp.containsPoint(point)) XCTAssertFalse(mesh.rotated(by: r).containsPoint(point.rotated(by: r))) } } func testSphereContainsPoint() { let edgePoints: [Vector] = [ Vector(0.5, 0, 0), Vector(0, 0.5, 0), Vector(0, 0, 0.5), Vector(0.5, 0.5, 0), Vector(0, 0.5, 0.5), Vector(0.5, 0, 0.5), Vector(-0.5, 0, 0), Vector(0, -0.5, 0), Vector(0, 0, -0.5), Vector(-0.5, -0.5, 0), Vector(0, -0.5, -0.5), Vector(-0.5, 0, -0.5), ].map { $0.normalized() * 0.5 } let insidePoints = [.zero] + edgePoints.map { $0 * 0.999 } let outsidePoints = edgePoints.map { $0 * 1.001 } let mesh = Mesh.sphere(slices: 8, stacks: 4) let bsp = BSP(mesh) { false } for point in insidePoints { XCTAssertTrue(mesh.containsPoint(point)) XCTAssertTrue(bsp.containsPoint(point)) } for point in outsidePoints { XCTAssertFalse(mesh.containsPoint(point)) XCTAssertFalse(bsp.containsPoint(point)) } } func testLContainsPoint() { let edgePoints: [Vector] = [ Vector(0, 0, 0), Vector(0, 0.5, 0), Vector(-0.5, 0, 0), ].translated(by: Vector(-0.25, 0.25)) let insidePoints = [.zero] + edgePoints.map { $0 * 0.999 } let outsidePoints = edgePoints.map { $0 * 1.001 } let mesh = Mesh .cube(size: Vector(2, 2, 1)) .subtract(Mesh.cube().translated(by: Vector(-0.5, 0.5, 0))) .translated(by: Vector(-0.25, 0.25)) let bsp = BSP(mesh) { false } for point in insidePoints { XCTAssertTrue(mesh.containsPoint(point)) XCTAssertTrue(bsp.containsPoint(point)) } for point in outsidePoints { XCTAssertFalse(mesh.containsPoint(point)) XCTAssertFalse(bsp.containsPoint(point)) } } // MARK: Optimization func testMeshWithoutTexcoords() { let mesh = Mesh.cube().withoutTexcoords() XCTAssertFalse(mesh.hasTexcoords) } func testMeshWithoutVertexNormals() { let cube = Mesh.cube() XCTAssertFalse(cube.hasVertexNormals) let sphere = Mesh.sphere().smoothNormals(.zero) XCTAssertFalse(sphere.hasVertexNormals) } } ShapeScript-1.6.14/Euclid/Tests/MetadataTests.swift000066400000000000000000000061521450355336000221700ustar00rootroot00000000000000// // MetadataTests.swift // EuclidTests // // Created by Nick Lockwood on 04/07/2021. // Copyright © 2019 Nick Lockwood. All rights reserved. // #if !os(WASI) @testable import Euclid import XCTest private let projectDirectory = URL(fileURLWithPath: #file) .deletingLastPathComponent().deletingLastPathComponent() private let changelogURL = projectDirectory .appendingPathComponent("CHANGELOG.md") private let podspecURL = projectDirectory .appendingPathComponent("Euclid.podspec.json") private let projectURL = projectDirectory .appendingPathComponent("Euclid.xcodeproj") .appendingPathComponent("project.pbxproj") private let euclidVersion: String = { let string = try! String(contentsOf: projectURL) let start = string.range(of: "MARKETING_VERSION = ")!.upperBound let end = string.range(of: ";", range: start ..< string.endIndex)!.lowerBound return String(string[start ..< end]) }() private let changelogTitles: [Substring] = { let changelog = try! String(contentsOf: changelogURL, encoding: .utf8) var range = changelog.startIndex ..< changelog.endIndex var matches = [Substring]() while let match = changelog.range( of: "## \\[[^]]+\\]\\([^)]+\\) \\([^)]+\\)", options: .regularExpression, range: range ) { matches.append(changelog[match]) range = match.upperBound ..< changelog.endIndex } return matches }() class MetadataTests: XCTestCase { // MARK: releases func testLatestVersionInChangelog() { let changelog = try! String(contentsOf: changelogURL, encoding: .utf8) XCTAssertTrue(changelog.contains("[\(euclidVersion)]"), "CHANGELOG.md does not mention latest release") XCTAssertTrue( changelog.contains("(https://github.com/nicklockwood/Euclid/releases/tag/\(euclidVersion))"), "CHANGELOG.md does not include correct link for latest release" ) } func testLatestVersionInPodspec() { let podspec = try! String(contentsOf: podspecURL, encoding: .utf8) XCTAssertTrue( podspec.contains("\"version\": \"\(euclidVersion)\""), "Podspec version does not match latest release" ) XCTAssertTrue( podspec.contains("\"tag\": \"\(euclidVersion)\""), "Podspec tag does not match latest release" ) } func testChangelogDatesAreAscending() throws { var lastDate: Date? let dateParser = DateFormatter() dateParser.timeZone = TimeZone(identifier: "UTC") dateParser.locale = Locale(identifier: "en_GB") dateParser.dateFormat = " (yyyy-MM-dd)" for title in changelogTitles { let dateRange = try XCTUnwrap(title.range(of: " \\([^)]+\\)$", options: .regularExpression)) let dateString = String(title[dateRange]) let date = try XCTUnwrap(dateParser.date(from: dateString)) if let lastDate = lastDate, date > lastDate { XCTFail("\(title) has newer date than subsequent version (\(date) vs \(lastDate))") return } lastDate = date } } } #endif ShapeScript-1.6.14/Euclid/Tests/PathShapeTests.swift000066400000000000000000000172721450355336000223320ustar00rootroot00000000000000// // PathShapeTests.swift // GeometryScriptTests // // Created by Nick Lockwood on 09/10/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest class PathShapeTests: XCTestCase { // MARK: Curve func testCurveWithConsecutiveMixedTypePointsWithSamePosition() { let points: [PathPoint] = [ .point(-1, 1), .point(-1, -1), .point(1, -1), .curve(1, -1), .point(1, 1), .point(-1, 1), ] _ = Path(points) _ = Path.curve(points) } func testSimpleCurvedPath() { let points: [PathPoint] = [ .point(-1, -1), .curve(0, 1), .point(1, -1), ] XCTAssertEqual(Path.curve(points, detail: 0).points, points) XCTAssertEqual(Path.curve(points, detail: 1).points, [ .point(-1, -1), .curve(-1 / 3, -1 / 9), .curve(1 / 3, -1 / 9), .point(1, -1), ] as [PathPoint]) XCTAssertEqual(Path.curve(points, detail: 2).points, [ .point(-1, -1), .curve(-0.5, -0.25), .curve(0, 0), .curve(0.5, -0.25), .point(1, -1), ]) } func testSimpleCurveEndedPath() { let points: [PathPoint] = [ .curve(0, 1), .point(-1, 0), .curve(0, -1), ] XCTAssertEqual(Path.curve(points, detail: 0).points, points) XCTAssertEqual(Path.curve(points, detail: 1).points, [ .curve(0, 0.5), .point(-1, 0), .curve(0, -0.5), ]) } func testClosedCurvedPath() { let points: [PathPoint] = [ .curve(-1, 1), .curve(1, 1), .curve(1, -1), .curve(-1, -1), .curve(-1, 1), ] XCTAssertEqual(Path.curve(points, detail: 0).points, points) XCTAssertEqual(Path.curve(points, detail: 1).points, [ .curve(-1, 0), .curve(-0.75, 0.75), .curve(0, 1), .curve(0.75, 0.75), .curve(1, 0), .curve(0.75, -0.75), .curve(0, -1), .curve(-0.75, -0.75), .curve(-1, 0), ]) } func testClosedCurvedPathWithSharpFirstCorner() { let points: [PathPoint] = [ .point(-1, 1), .curve(1, 1), .curve(1, -1), .curve(-1, -1), .point(-1, 1), ] XCTAssertEqual(Path.curve(points, detail: 0).points, points) XCTAssertEqual(Path.curve(points, detail: 1).points, [ .point(-1, 1), .curve(0.5, 0.75), .curve(1, 0), .curve(0.75, -0.75), .curve(0, -1), .curve(-0.75, -0.5), .point(-1, 1), ]) } func testClosedCurvedPathWithSharpSecondCorner() { let points: [PathPoint] = [ .curve(-1, 1), .point(1, 1), .curve(1, -1), .curve(-1, -1), .curve(-1, 1), ] XCTAssertEqual(Path.curve(points, detail: 0).points, points) XCTAssertEqual(Path.curve(points, detail: 1).points, [ .curve(-1, 0), .curve(-0.5, 0.75), .point(1, 1), .curve(0.75, -0.5), .curve(0, -1), .curve(-0.75, -0.75), .curve(-1, 0), ]) } func testClosedCurvedPathWithSharpSecondAndThirdCorner() { let points: [PathPoint] = [ .curve(-1, 1), .point(1, 1), .point(1, -1), .curve(-1, -1), .curve(-1, 1), ] XCTAssertEqual(Path.curve(points, detail: 0).points, points) XCTAssertEqual(Path.curve(points, detail: 1).points, [ .curve(-1, 0), .curve(-0.5, 0.75), .point(1, 1), .point(1, -1), .curve(-0.5, -0.75), .curve(-1, 0), ]) } // MARK: Arc func testDefault() { let path = Path.arc(color: .green) XCTAssert(path.points.allSatisfy { $0.color == .green }) XCTAssertEqual(path.bounds, Bounds(Vector(0, -0.5, 0), Vector(0.5, 0.5, 0))) } func testInverseArc() { let path = Path.arc(angle: -.pi / 2) XCTAssertEqual(path.bounds, Bounds(Vector(-0.5, 0.5, 0), .zero)) } func testClosedArc() { let path = Path.arc(angle: .twoPi, radius: 2, color: .red) XCTAssertEqual(path, Path.circle(radius: 2, color: .red).scaled(by: Vector(-1, 1))) } func testOverClosedArc() { let path = Path.arc(angle: .pi * 3, radius: 2) XCTAssertEqual(path, Path.circle(radius: 2).scaled(by: Vector(-1, 1))) } func testInverseClosedArc() { let path = Path.arc(angle: -.twoPi, radius: 2) XCTAssertEqual(path, .circle(radius: 2)) } func testInverseOverClosedArc() { let path = Path.arc(angle: -.pi * 3, radius: 2) XCTAssertEqual(path, .circle(radius: 2)) } func testAcuteArcMinSegments() { let path = Path.arc(angle: .pi * 0.2, segments: 0) XCTAssertEqual(path.points.count, 2) } func testObtuseArcMinSegments2() { let path = Path.arc(angle: .pi * 0.6, segments: 0) XCTAssertEqual(path.points.count, 3) } func testArcCircleMinSegments() { let path = Path.arc(angle: -.pi * 2, radius: 2, segments: 0) XCTAssertEqual(path.points.count, 4) XCTAssertEqual(path, .circle(radius: 2, segments: 3)) } // MARK: Circle func testCircleIsClosed() { let path = Path.circle(radius: 0.50, segments: 25) XCTAssert(path.isClosed) } // MARK: Rounded rect func testSimpleRoundedRect() { let path = Path.roundedRectangle(width: 1, height: 1, radius: 0.25) XCTAssert(path.isClosed) XCTAssertEqual(path.points.count, 21) XCTAssertEqual(path.bounds, Bounds( min: Vector(-0.5, -0.5), max: Vector(0.5, 0.5) )) } func testCircularRoundedRect() { let path = Path.roundedRectangle(width: 1, height: 1, radius: 0.5) XCTAssert(path.isClosed) XCTAssertEqual(path.points.count, 17) XCTAssertEqual(path.bounds, Bounds( min: Vector(-0.5, -0.5), max: Vector(0.5, 0.5) )) } func testPortraitRoundedRect() { let path = Path.roundedRectangle(width: 1, height: 2, radius: 0.5) XCTAssert(path.isClosed) XCTAssertEqual(path.points.count, 19) XCTAssertEqual(path.bounds, Bounds( min: Vector(-0.5, -1), max: Vector(0.5, 1) )) } func testLandscapeRoundedRect() { let path = Path.roundedRectangle(width: 2, height: 1, radius: 0.5) XCTAssert(path.isClosed) XCTAssertEqual(path.points.count, 19) XCTAssertEqual(path.bounds, Bounds( min: Vector(-1, -0.5), max: Vector(1, 0.5) )) } func testLowResRoundedRect() { let path = Path.roundedRectangle(width: 1, height: 1, radius: 0.25, detail: 1) XCTAssert(path.isClosed) XCTAssertEqual(path.points.count, 9) XCTAssertEqual(path.bounds, Bounds( min: Vector(-0.5, -0.5), max: Vector(0.5, 0.5) )) } func testZeroDetailRoundedRect() { let path = Path.roundedRectangle(width: 1, height: 1, radius: 0.5, detail: 0) XCTAssertEqual(path, Path(Path.rectangle(width: 1, height: 1).points.map { PathPoint.curve($0.position) })) } func testZeroRadiusRoundedRect() { let path = Path.roundedRectangle(width: 1, height: 1, radius: 0) XCTAssertEqual(path, .rectangle(width: 1, height: 1)) } } ShapeScript-1.6.14/Euclid/Tests/PathTests.swift000066400000000000000000000646241450355336000213540ustar00rootroot00000000000000// // PathTests.swift // GeometryScriptTests // // Created by Nick Lockwood on 19/09/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest class PathTests: XCTestCase { // MARK: isSimple func testSimpleLine() { let path = Path([ .point(0, 1), .point(0, -1), ]) XCTAssertTrue(path.isSimple) XCTAssertFalse(path.isClosed) } func testSimpleOpenTriangle() { let path = Path([ .point(0, 1), .point(0, -1), .point(1, -1), ]) XCTAssertTrue(path.isSimple) XCTAssertFalse(path.isClosed) } func testSimpleClosedTriangle() { let path = Path([ .point(0, 1), .point(-1, -1), .point(1, -1), .point(0, 1), ]) XCTAssertTrue(path.isSimple) XCTAssertTrue(path.isClosed) } func testSimpleOpenQuad() { let path = Path([ .point(-1, 1), .point(-1, -1), .point(1, -1), .point(1, 1), ]) XCTAssertTrue(path.isSimple) XCTAssertFalse(path.isClosed) } func testOverlappingOpenQuad() { let path = Path([ .point(-1, 1), .point(1, -1), .point(-1, -1), .point(1, 1), ]) XCTAssertFalse(path.isSimple) XCTAssertFalse(path.isClosed) } func testSimpleClosedQuad() { let path = Path([ .point(-1, 1), .point(-1, -1), .point(1, -1), .point(1, 1), .point(-1, 1), ]) XCTAssertTrue(path.isSimple) XCTAssertTrue(path.isClosed) } func testOverlappingClosedQuad() { let path = Path([ .point(-1, 1), .point(1, -1), .point(-1, -1), .point(1, 1), .point(-1, 1), ]) XCTAssertFalse(path.isSimple) XCTAssertTrue(path.isClosed) } // MARK: winding direction func testConvexClosedPathAnticlockwiseWinding() { let path = Path([ .point(-1, 1), .point(-1, -1), .point(1, -1), .point(1, 1), .point(-1, 1), ]) XCTAssertTrue(path.isClosed) XCTAssertEqual(path.plane?.normal, .unitZ) } func testConvexClosedPathClockwiseWinding() { let path = Path([ .point(-1, -1), .point(-1, 1), .point(1, 1), .point(1, -1), .point(-1, -1), ]) XCTAssertTrue(path.isClosed) XCTAssertEqual(path.plane?.normal, -.unitZ) } func testConvexOpenPathAnticlockwiseWinding() { let path = Path([ .point(-1, 1), .point(-1, -1), .point(1, -1), ]) XCTAssertFalse(path.isClosed) XCTAssertEqual(path.plane?.normal, .unitZ) } func testConvexOpenPathClockwiseWinding() { let path = Path([ .point(-1, -1), .point(-1, 1), .point(1, 1), ]) XCTAssertFalse(path.isClosed) XCTAssertEqual(path.plane?.normal, -.unitZ) } func testConcaveClosedPathAnticlockwiseWinding() { let path = Path([ .point(-1, 0), .point(0, 0), .point(0, -1), .point(1, -1), .point(1, 1), .point(-1, 1), .point(-1, 0), ]) XCTAssertTrue(path.isClosed) XCTAssertEqual(path.plane?.normal, .unitZ) } func testConcaveClosedPathClockwiseWinding() { let path = Path([ .point(-1, 0), .point(0, 0), .point(0, 1), .point(1, 1), .point(1, -1), .point(-1, -1), .point(-1, 0), ]) XCTAssertTrue(path.isClosed) XCTAssertEqual(path.plane?.normal, -.unitZ) } func testConcaveClosedPathClockwiseWinding2() { var transform = Transform.identity var points = [PathPoint]() let sides = 5 for _ in 0 ..< sides { points.append(PathPoint.point(0, -0.5).transformed(by: transform)) transform.rotate(by: .roll(.pi / Double(sides))) points.append(PathPoint.point(0, -1).transformed(by: transform)) transform.rotate(by: .roll(.pi / Double(sides))) } points.append(.point(0, -0.5)) let path = Path(points) XCTAssertEqual(path.plane?.normal, -.unitZ) } func testConcaveOpenPathAnticlockwiseWinding() { let path = Path([ .point(-1, 0), .point(0, 0), .point(0, -1), .point(1, -1), .point(-1, 1), ]) XCTAssertFalse(path.isClosed) XCTAssertEqual(path.plane?.normal, .unitZ) } func testConcaveOpenPathClockwiseWinding() { let path = Path([ .point(-1, 0), .point(0, 0), .point(0, 1), .point(1, 1), .point(-1, -1), ]) XCTAssertFalse(path.isClosed) XCTAssertEqual(path.plane?.normal, -.unitZ) } func testStraightLinePathAnticlockwiseWinding() { let path = Path([ .point(-1, 1), .point(-1, -1), ]) XCTAssertFalse(path.isClosed) XCTAssertEqual(path.plane?.normal, .unitZ) } func testStraightLinePathAnticlockwiseWinding2() { let path = Path([ .point(-1, -1), .point(-1, 1), ]) XCTAssertFalse(path.isClosed) XCTAssertEqual(path.plane?.normal, .unitZ) } func testStraightLinePathAnticlockwiseWinding3() { let path = Path([ .point(1, 1), .point(1, -1), ]) XCTAssertFalse(path.isClosed) XCTAssertEqual(path.plane?.normal, .unitZ) } // MARK: faceVertices func testFaceVerticesForConcaveClockwisePath() { let path = Path([ .point(0, 1), .point(1, 0), .point(0, -1), .point(0.5, 0), .point(0, 1), ]) guard let vertices = path.faceVertices else { XCTFail() return } XCTAssertEqual(vertices.count, 4) } func testFaceVerticesForDegenerateClosedAnticlockwisePath() { let path = Path([ .point(0, 1), .point(0, 0), .point(0, -1), .point(0, 1), ]) XCTAssert(path.isClosed) XCTAssertNil(path.faceVertices) } func testFaceVerticesForNonPlanarPath() throws { let path = Path([ .point(0, 1), .point(1, 0, 0.2), .point(0, -1), .point(-1, 0, 0.1), .point(0, 1), ]) let vertices = try XCTUnwrap(path.faceVertices) XCTAssertEqual(vertices.count, 4) XCTAssert(vertices.allSatisfy { $0.normal.z < 0 }) } // MARK: edgeVertices func testEdgeVerticesForSmoothedClosedRect() { let path = Path([ .curve(-1, 1), .curve(-1, -1), .curve(1, -1), .curve(1, 1), .curve(-1, 1), ]) let vertices = path.edgeVertices XCTAssertEqual(vertices.count, 8) guard vertices.count >= 8 else { return } // positions XCTAssertEqual(vertices[0].position, Vector(-1, 1)) XCTAssertEqual(vertices[1].position, Vector(-1, -1)) XCTAssertEqual(vertices[2].position, Vector(-1, -1)) XCTAssertEqual(vertices[3].position, Vector(1, -1)) XCTAssertEqual(vertices[4].position, Vector(1, -1)) XCTAssertEqual(vertices[5].position, Vector(1, 1)) XCTAssertEqual(vertices[6].position, Vector(1, 1)) XCTAssertEqual(vertices[7].position, Vector(-1, 1)) // texture coords XCTAssertEqual(vertices[0].texcoord, Vector(0, 0)) XCTAssertEqual(vertices[1].texcoord, Vector(0, 0.25)) XCTAssertEqual(vertices[2].texcoord, Vector(0, 0.25)) XCTAssertEqual(vertices[3].texcoord, Vector(0, 0.5)) XCTAssertEqual(vertices[4].texcoord, Vector(0, 0.5)) XCTAssertEqual(vertices[5].texcoord, Vector(0, 0.75)) XCTAssertEqual(vertices[6].texcoord, Vector(0, 0.75)) XCTAssertEqual(vertices[7].texcoord, Vector(0, 1)) // normals XCTAssertEqual(vertices[0].normal, Vector(-1, 1).normalized()) XCTAssertEqual(vertices[1].normal, Vector(-1, -1).normalized()) XCTAssertEqual(vertices[2].normal, Vector(-1, -1).normalized()) XCTAssertEqual(vertices[3].normal, Vector(1, -1).normalized()) XCTAssertEqual(vertices[4].normal, Vector(1, -1).normalized()) XCTAssertEqual(vertices[5].normal, Vector(1, 1).normalized()) XCTAssertEqual(vertices[6].normal, Vector(1, 1).normalized()) XCTAssertEqual(vertices[7].normal, Vector(-1, 1).normalized()) } func testEdgeVerticesForSmoothedCylinder() { let path = Path([ .point(0, 1), .curve(-1, 1), .curve(-1, -1), .point(0, -1), ]) let vertices = path.edgeVertices XCTAssertEqual(vertices.count, 6) guard vertices.count >= 6 else { return } // positions XCTAssertEqual(vertices[0].position, Vector(0, 1)) XCTAssertEqual(vertices[1].position, Vector(-1, 1)) XCTAssertEqual(vertices[2].position, Vector(-1, 1)) XCTAssertEqual(vertices[3].position, Vector(-1, -1)) XCTAssertEqual(vertices[4].position, Vector(-1, -1)) XCTAssertEqual(vertices[5].position, Vector(0, -1)) // texture coords XCTAssertEqual(vertices[0].texcoord, Vector(0, 0)) XCTAssertEqual(vertices[1].texcoord, Vector(0, 0.25)) XCTAssertEqual(vertices[2].texcoord, Vector(0, 0.25)) XCTAssertEqual(vertices[3].texcoord, Vector(0, 0.75)) XCTAssertEqual(vertices[4].texcoord, Vector(0, 0.75)) XCTAssertEqual(vertices[5].texcoord, Vector(0, 1)) // normals XCTAssertEqual(vertices[0].normal, Vector(0, 1)) XCTAssertEqual(vertices[1].normal, Vector(-1, 1).normalized()) XCTAssertEqual(vertices[2].normal, Vector(-1, 1).normalized()) XCTAssertEqual(vertices[3].normal, Vector(-1, -1).normalized()) XCTAssertEqual(vertices[4].normal, Vector(-1, -1).normalized()) XCTAssertEqual(vertices[5].normal, Vector(0, -1)) } func testEdgeVerticesForSharpEdgedCylinder() { let path = Path([ .point(0, 1), .point(-1, 1), .point(-1, -1), .point(0, -1), ]) let vertices = path.edgeVertices XCTAssertEqual(vertices.count, 6) guard vertices.count >= 6 else { return } // positions XCTAssertEqual(vertices[0].position, Vector(0, 1)) XCTAssertEqual(vertices[1].position, Vector(-1, 1)) XCTAssertEqual(vertices[2].position, Vector(-1, 1)) XCTAssertEqual(vertices[3].position, Vector(-1, -1)) XCTAssertEqual(vertices[4].position, Vector(-1, -1)) XCTAssertEqual(vertices[5].position, Vector(0, -1)) // texture coords XCTAssertEqual(vertices[0].texcoord, Vector(0, 0)) XCTAssertEqual(vertices[1].texcoord, Vector(0, 0.25)) XCTAssertEqual(vertices[2].texcoord, Vector(0, 0.25)) XCTAssertEqual(vertices[3].texcoord, Vector(0, 0.75)) XCTAssertEqual(vertices[4].texcoord, Vector(0, 0.75)) XCTAssertEqual(vertices[5].texcoord, Vector(0, 1)) // normals XCTAssertEqual(vertices[0].normal, Vector(0, 1)) XCTAssertEqual(vertices[1].normal, Vector(0, 1)) XCTAssertEqual(vertices[2].normal, Vector(-1, 0)) XCTAssertEqual(vertices[3].normal, Vector(-1, 0)) XCTAssertEqual(vertices[4].normal, Vector(0, -1)) XCTAssertEqual(vertices[5].normal, Vector(0, -1)) } func testEdgeVerticesForCircle() { let path = Path.circle(radius: 1, segments: 4) let vertices = path.edgeVertices XCTAssertEqual(vertices.count, 8) guard vertices.count >= 8 else { return } // positions XCTAssertEqual(vertices[0].position, Vector(0, 1)) XCTAssertEqual(vertices[1].position, Vector(-1, 0)) XCTAssertEqual(vertices[2].position, Vector(-1, 0)) XCTAssertEqual(vertices[3].position, Vector(0, -1)) XCTAssertEqual(vertices[4].position, Vector(0, -1)) XCTAssertEqual(vertices[5].position, Vector(1, 0)) XCTAssertEqual(vertices[6].position, Vector(1, 0)) XCTAssertEqual(vertices[7].position, Vector(0, 1)) // texture coords XCTAssertEqual(vertices[0].texcoord, Vector(0, 0)) XCTAssertEqual(vertices[1].texcoord, Vector(0, 0.25)) XCTAssertEqual(vertices[2].texcoord, Vector(0, 0.25)) XCTAssertEqual(vertices[3].texcoord, Vector(0, 0.5)) XCTAssertEqual(vertices[4].texcoord, Vector(0, 0.5)) XCTAssertEqual(vertices[5].texcoord, Vector(0, 0.75)) XCTAssertEqual(vertices[6].texcoord, Vector(0, 0.75)) XCTAssertEqual(vertices[7].texcoord, Vector(0, 1)) // normals XCTAssertEqual(vertices[0].normal, Vector(0, 1)) XCTAssertEqual(vertices[1].normal, Vector(-1, 0)) XCTAssertEqual(vertices[2].normal, Vector(-1, 0)) XCTAssertEqual(vertices[3].normal, Vector(0, -1)) XCTAssertEqual(vertices[4].normal, Vector(0, -1)) XCTAssertEqual(vertices[5].normal, Vector(1, 0)) XCTAssertEqual(vertices[6].normal, Vector(1, 0)) XCTAssertEqual(vertices[7].normal, Vector(0, 1)) } func testEdgeVerticesForEllipse() { let path = Path.ellipse(width: 4, height: 2, segments: 4) let vertices = path.edgeVertices XCTAssertEqual(vertices.count, 8) guard vertices.count >= 8 else { return } // positions XCTAssertEqual(vertices[0].position, Vector(0, 1)) XCTAssertEqual(vertices[1].position, Vector(-2, 0)) XCTAssertEqual(vertices[2].position, Vector(-2, 0)) XCTAssertEqual(vertices[3].position, Vector(0, -1)) XCTAssertEqual(vertices[4].position, Vector(0, -1)) XCTAssertEqual(vertices[5].position, Vector(2, 0)) XCTAssertEqual(vertices[6].position, Vector(2, 0)) XCTAssertEqual(vertices[7].position, Vector(0, 1)) // texture coords XCTAssertEqual(vertices[0].texcoord, Vector(0, 0)) XCTAssertEqual(vertices[1].texcoord, Vector(0, 0.25)) XCTAssertEqual(vertices[2].texcoord, Vector(0, 0.25)) XCTAssertEqual(vertices[3].texcoord, Vector(0, 0.5)) XCTAssertEqual(vertices[4].texcoord, Vector(0, 0.5)) XCTAssertEqual(vertices[5].texcoord, Vector(0, 0.75)) XCTAssertEqual(vertices[6].texcoord, Vector(0, 0.75)) XCTAssertEqual(vertices[7].texcoord, Vector(0, 1)) // normals XCTAssertEqual(vertices[0].normal, Vector(0, 1)) XCTAssertEqual(vertices[1].normal, Vector(-1, 0)) XCTAssertEqual(vertices[2].normal, Vector(-1, 0)) XCTAssertEqual(vertices[3].normal, Vector(0, -1)) XCTAssertEqual(vertices[4].normal, Vector(0, -1)) XCTAssertEqual(vertices[5].normal, Vector(1, 0)) XCTAssertEqual(vertices[6].normal, Vector(1, 0)) XCTAssertEqual(vertices[7].normal, Vector(0, 1)) } func testEdgeVerticesForSemicircle() { let path = Path([ .curve(0, 1), .curve(-1, 0), .curve(0, -1), ]) let vertices = path.edgeVertices XCTAssertEqual(vertices.count, 4) guard vertices.count >= 4 else { return } // positions XCTAssertEqual(vertices[0].position, Vector(0, 1)) XCTAssertEqual(vertices[1].position, Vector(-1, 0)) XCTAssertEqual(vertices[2].position, Vector(-1, 0)) XCTAssertEqual(vertices[3].position, Vector(0, -1)) // texture coords XCTAssertEqual(vertices[0].texcoord, Vector(0, 0)) XCTAssertEqual(vertices[1].texcoord, Vector(0, 0.5)) XCTAssertEqual(vertices[2].texcoord, Vector(0, 0.5)) XCTAssertEqual(vertices[3].texcoord, Vector(0, 1)) // normals XCTAssertEqual(vertices[0].normal, Vector(0, 1)) XCTAssertEqual(vertices[1].normal, Vector(-1, 0)) XCTAssertEqual(vertices[2].normal, Vector(-1, 0)) XCTAssertEqual(vertices[3].normal, Vector(0, -1)) } func testEdgeVerticesForVerticalPath() { let path = Path([ .point(-1, 1), .point(-1, -1), ]) let vertices = path.edgeVertices XCTAssertEqual(vertices.count, 2) guard vertices.count >= 2 else { return } // positions XCTAssertEqual(vertices[0].position, Vector(-1, 1)) XCTAssertEqual(vertices[1].position, Vector(-1, -1)) // texture coords XCTAssertEqual(vertices[0].texcoord, Vector(0, 0)) XCTAssertEqual(vertices[1].texcoord, Vector(0, 1)) // normals XCTAssertEqual(vertices[0].normal, Vector(-1, 0)) XCTAssertEqual(vertices[1].normal, Vector(-1, 0)) } func testEdgeVerticesForZigZag() { let path = Path([ .point(0, 0), .point(1, 0), .point(0, 1), .point(1, 1), ]) let vertices = path.edgeVertices XCTAssertEqual(vertices.count, 6) guard vertices.count >= 6 else { return } // positions XCTAssertEqual(vertices[0].position, Vector(0, 0)) XCTAssertEqual(vertices[1].position, Vector(1, 0)) XCTAssertEqual(vertices[2].position, Vector(1, 0)) XCTAssertEqual(vertices[3].position, Vector(0, 1)) XCTAssertEqual(vertices[4].position, Vector(0, 1)) XCTAssertEqual(vertices[5].position, Vector(1, 1)) // texture coords XCTAssertEqual(vertices[0].texcoord, Vector(0, 0)) XCTAssertEqual(vertices[5].texcoord, Vector(0, 1)) // normals XCTAssertEqual(vertices[0].normal, Vector(0, -1)) XCTAssertEqual(vertices[1].normal, Vector(0, -1)) XCTAssert(vertices[2].normal.isEqual(to: Vector(1, 1).normalized())) XCTAssert(vertices[3].normal.isEqual(to: Vector(1, 1).normalized())) XCTAssertEqual(vertices[4].normal, Vector(0, -1)) XCTAssertEqual(vertices[5].normal, Vector(0, -1)) } // MARK: Y-axis clipping func testClipClosedClockwiseTriangleToRightOfAxis() { let path = Path([ .point(0, 0), .point(1, 1), .point(1, 0), .point(0, 0), ]) let result = path.clippedToYAxis() XCTAssertEqual(result.points, [ .point(0, 0), .point(-1, 1), .point(-1, 0), .point(0, 0), ]) } func testClipClosedClockwiseTriangleMostlyRightOfAxis() { let path = Path([ .point(-1, 0), .point(1, 1), .point(1, 0), .point(-1, 0), ]) let result = path.clippedToYAxis() XCTAssertEqual(result.points, [ .point(0, 0.5), .point(-1, 1), .point(-1, 0), .point(0, 0), ]) } func testClipClosedRectangleSpanningAxis() { let path = Path([ .point(-1, 1), .point(1, 1), .point(1, -1), .point(-1, -1), .point(-1, 1), ]) let result = path.clippedToYAxis() XCTAssertEqual(result.points, [ .point(-1, 1), .point(0, 1), .point(0, -1), .point(-1, -1), .point(-1, 1), ]) } func testClosedAnticlockwiseTriangleLeftOfAxis() { let path = Path([ .point(0, 1), .point(-1, -1), .point(0, -1), ]) let result = path.clippedToYAxis() XCTAssertEqual(result.points, [ .point(0, 1), .point(-1, -1), .point(0, -1), ]) } // MARK: subpaths func testSimpleOpenPathHasNoSubpaths() { let path = Path([ .point(0, 1), .point(-1, -1), .point(0, -1), ]) XCTAssertEqual(path.subpaths, [path]) XCTAssertEqual(path.plane?.normal, .unitZ) } func testSimpleClosedPathHasNoSubpaths() { let path = Path.square() XCTAssertEqual(path.subpaths, [path]) XCTAssertEqual(path.plane?.normal, .unitZ) } func testPathWithLineEndingInLoopHasCorrectSubpaths() { let path = Path([ .point(0, 0), .point(1, 0), .point(2, 0), .point(2, 1), .point(1, 1), .point(1, 0), ]) XCTAssertEqual(path.subpaths, [ Path([ .point(0, 0), .point(1, 0), ]), Path([ .point(1, 0), .point(2, 0), .point(2, 1), .point(1, 1), .point(1, 0), ]), ]) XCTAssertEqual(path.plane?.normal, .unitZ) } func testPathWithLoopEndingInLineHasCorrectSubpaths() { let path = Path([ .point(0, 0), .point(1, 0), .point(1, 1), .point(0, 1), .point(0, 0), .point(-1, 0), ]) XCTAssertEqual(path.subpaths, [ Path([ .point(0, 0), .point(1, 0), .point(1, 1), .point(0, 1), .point(0, 0), ]), Path([ .point(0, 0), .point(-1, 0), ]), ]) XCTAssertEqual(path.plane?.normal, .unitZ) } func testPathWithConjoinedLoopsHasCorrectSubpaths() { let path = Path([ .point(0, 0), .point(1, 1), .point(2, 0), .point(1, -1), .point(0, 0), .point(-1, 1), .point(-2, 0), .point(-1, -1), .point(0, 0), ]) XCTAssertEqual(path.subpaths, [ Path([ .point(0, 0), .point(1, 1), .point(2, 0), .point(1, -1), .point(0, 0), ]), Path([ .point(0, 0), .point(-1, 1), .point(-2, 0), .point(-1, -1), .point(0, 0), ]), ]) XCTAssertNil(path.plane) } func testPathWithTwoSeparateLoopsHasCorrectSubpaths() { let path = Path([ .point(0, 0), .point(1, 0), .point(1, 1), .point(0, 1), .point(0, 0), .point(2, 0), .point(3, 0), .point(3, 1), .point(2, 1), .point(2, 0), ]) XCTAssertEqual(path.subpaths, [ Path([ .point(0, 0), .point(1, 0), .point(1, 1), .point(0, 1), .point(0, 0), ]), Path([ .point(2, 0), .point(3, 0), .point(3, 1), .point(2, 1), .point(2, 0), ]), ]) XCTAssertEqual(path.plane?.normal, .unitZ) } func testLinkedArcSubpathsAreJoinedCorrectly() { let quarterTurn = Angle.pi / 2 let first = Path.arc(angle: quarterTurn, segments: 4) let second = Path.arc(angle: quarterTurn, segments: 4) .rotated(by: .roll(quarterTurn)) let path = Path(subpaths: [first, second]) XCTAssertEqual(path.points, Path.arc(angle: .pi, segments: 8).points) } func testNestedSubpathsAreFlattenedCorrectly() { let path1 = Path([ .point(0, 0), .point(1, 0), .point(1, 1), .point(0, 1), .point(0, 0), .point(2, 0), .point(3, 0), .point(3, 1), .point(2, 1), .point(2, 0), ]) XCTAssertEqual(path1.plane?.normal, .unitZ) let path2 = Path([ .point(5, 1), .point(4, -1), .point(5, -1), ]) XCTAssertEqual(path2.plane?.normal, .unitZ) let path3 = Path(subpaths: [path1, path2]) XCTAssertEqual(path3.subpaths, [ Path([ .point(0, 0), .point(1, 0), .point(1, 1), .point(0, 1), .point(0, 0), ]), Path([ .point(2, 0), .point(3, 0), .point(3, 1), .point(2, 1), .point(2, 0), ]), Path([ .point(2, 0), .point(5, 1), .point(4, -1), .point(5, -1), ]), ]) XCTAssertNil(path3.plane) } func testClosedPathWithOffshootSubpaths() { let path = Path([ .point(0, 0), .point(1, 0), .point(1, 1), .point(0, 1), .point(0, 0), .point(-1, 0), ]) XCTAssertEqual(path.subpaths, [ Path([ .point(0, 0), .point(1, 0), .point(1, 1), .point(0, 1), .point(0, 0), ]), Path([ .point(0, 0), .point(-1, 0), ]), ]) } func testSubpathsSeparatedCorrectly() { let a = Path([ .point(0, 0.5, 0), .point(-0.353553390593, 0.353553390593, 0.0), .point(-0.5, 0, 0), .point(-0.353553390593, -0.353553390593, 0), .point(0, -0.5, 0), .point(0, 0.5, 0), ]) let b = Path([ .point(1, 0.085786437626, 0), .point(1, 0.5, 0), .point(0, 0.5, 0), .point(0.353553390593, 0.353553390593, 0), .point(0.5, -0, 0), .point(0.353553390593, -0.353553390593, 0), .point(0, -0.5, 0), .point(1, -0.5, 0), .point(1, -0.085786437626, 0), .point(1, 0.085786437626, 0), ]) let c = Path(subpaths: [a, b]) XCTAssertEqual(c.subpaths.count, 2) XCTAssertEqual(c.subpaths.first, a) XCTAssertEqual(c.subpaths.last, b) } // MARK: flattening func testFlattenVerticalPath() { let p = Path([ .point(0, 0, 0), .point(0, 0, 1), .point(0, 1, 1), ]) let q = p.flattened() // Flattened path is always on xy XCTAssertEqual(q.plane, .xy) } } ShapeScript-1.6.14/Euclid/Tests/PlaneTests.swift000066400000000000000000000152351450355336000215110ustar00rootroot00000000000000// // PlaneTests.swift // EuclidTests // // Created by Nick Lockwood on 19/12/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest class PlaneTests: XCTestCase { func testConcavePolygonClockwiseWinding() { var transform = Transform.identity var points = [Vector]() let sides = 5 for _ in 0 ..< sides { points.append(Vector(0, -0.5).transformed(by: transform)) transform.rotate(by: .roll(.pi / Double(sides))) points.append(Vector(0, -1).transformed(by: transform)) transform.rotate(by: .roll(.pi / Double(sides))) } let plane = Plane(points: points) XCTAssertEqual(plane?.normal, -.unitZ) } func testConcavePolygonPlaneTranslation() { let points0: [Vector] = [ Vector(-0.707106781187, -0.707106781187, 0.5), Vector(0.353553390593, 0.353553390593, 0.5), Vector(0.353553390593, 0.353553390593, 0), Vector(0.707106781187, 0.707106781187, 0), Vector(0.707106781187, 0.707106781187, 1), Vector(-0.707106781187, -0.707106781187, 1), ] let plane0 = Plane(points: points0) let translation = Vector(1, 0) let points1 = points0.translated(by: translation) let plane1 = Plane(points: points1) let expected = plane0?.translated(by: translation) XCTAssertEqual(plane1, expected) } // MARK: FlatteningPlane func testFlatteningPlaneForUnitZ() { let plane = FlatteningPlane(normal: .unitZ) XCTAssertEqual(plane, .xy) } func testFlatteningPlaneForNegativeUnitZ() { let plane = FlatteningPlane(normal: -.unitZ) XCTAssertEqual(plane, .xy) } func testFlatteningPlaneForUnitY() { let plane = FlatteningPlane(normal: .unitY) XCTAssertEqual(plane, .xz) } func testFlatteningPlaneForUnitX() { let plane = FlatteningPlane(normal: .unitX) XCTAssertEqual(plane, .yz) } func testFlatteningPlaneForXYDiagonal() { let normal = Vector(0.7071067811865475, -0.7071067811865475) let plane = FlatteningPlane(normal: normal) XCTAssertNotEqual(plane, .xy) } func testFlatteningPlaneForHorizontalLine() { let points = [Vector(-1, 0), Vector(1, 0)] let plane = FlatteningPlane(points: points) XCTAssertEqual(plane, .xy) } func testFlatteningPlaneForVerticalLine() { let points = [Vector(0, -1), Vector(0, 1)] let plane = FlatteningPlane(points: points) XCTAssertEqual(plane, .xy) } // MARK: Intersections func testIntersectionWithParallelPlane() { let plane1 = Plane(unchecked: .unitY, pointOnPlane: .zero) let plane2 = Plane(unchecked: .unitY, pointOnPlane: .unitY) XCTAssertNil(plane1.intersection(with: plane2)) } func testIntersectionWithPerpendicularPlane() { let plane1 = Plane(unchecked: .unitZ, w: 1) let plane2 = Plane(unchecked: -.unitX, w: 1) guard let intersection = plane1.intersection(with: plane2) else { XCTFail() return } XCTAssertEqual(intersection, Line(origin: Vector(-1, 0, 1), direction: -.unitY)) } func testIntersectionWithPerpendicularPlane2() { let plane1 = Plane(unchecked: -.unitX, w: 1) let plane2 = Plane(unchecked: .unitZ, w: 1) guard let intersection = plane1.intersection(with: plane2) else { XCTFail() return } XCTAssertEqual(intersection, Line(origin: Vector(-1, 0, 1), direction: .unitY)) } func testIntersectionWithPerpendicularPlane3() { let plane1 = Plane(unchecked: .unitX, w: 1) let plane2 = Plane(unchecked: -.unitY, w: 1) guard let intersection = plane1.intersection(with: plane2) else { XCTFail() return } XCTAssertEqual(intersection, Line(origin: Vector(1, -1, 0), direction: -.unitZ)) } func testIntersectionWithRandomPlane() { let plane1 = Plane(normal: Vector(1.2, 0.4, 5.7), w: 6)! let plane2 = Plane(normal: Vector(0.5, 0.7, 0.1), w: 8)! guard let intersection = plane1.intersection(with: plane2) else { XCTFail() return } XCTAssert(abs(plane1.normal.dot(intersection.origin) - plane1.w) < epsilon) XCTAssert(abs(plane2.normal.dot(intersection.origin) - plane2.w) < epsilon) XCTAssert(plane1.containsPoint(intersection.origin)) XCTAssert(plane2.containsPoint(intersection.origin)) XCTAssert(plane1.containsPoint(intersection.origin + intersection.direction)) XCTAssert(plane2.containsPoint(intersection.origin + intersection.direction)) } func testIntersectWithParallelLine() { let line = Line(unchecked: .zero, direction: Vector(4, -5, 0).normalized()) let plane = Plane(unchecked: .unitZ, pointOnPlane: Vector(-3, 2, 0)) XCTAssertNil(plane.intersection(with: line)) } func testIntersectWithNormalLine() { let line = Line(unchecked: Vector(1, 5, 60), direction: .unitZ) let plane = Plane(unchecked: .unitZ, pointOnPlane: Vector(-3, 2, 0)) let expected = Vector(1, 5, 0) XCTAssertEqual(expected, plane.intersection(with: line)) } func testIntersectionWithAxisLine() { let line = Line(unchecked: .zero, direction: Vector(4, 3, 0).normalized()) let plane = Plane(unchecked: .unitY, w: 3) let expected = Vector(4, 3, 0) XCTAssertEqual(expected, plane.intersection(with: line)) } func testIntersectionWithSkewedLine() { let line = Line(unchecked: Vector(8, 8, 10), direction: Vector(1, 1, 1).normalized()) let plane = Plane(unchecked: .unitZ, pointOnPlane: Vector(5, -7, 2)) let expected = Vector(0, 0, 2) XCTAssertEqual(expected, plane.intersection(with: line)) } func testIntersectionWithAxisLineSegment() { let segment = LineSegment(unchecked: Vector(0, 0, 1), Vector(0, 0, 3)) let plane = Plane(unchecked: .unitZ, w: 2) let expected = Vector(0, 0, 2) XCTAssertEqual(expected, plane.intersection(with: segment)) } func testNonIntersectionWithAxisLineSegment() { let segment = LineSegment(unchecked: Vector(0, 0, 1), Vector(0, 0, 3)) let plane = Plane(unchecked: .unitZ, w: 0) XCTAssertNil(plane.intersection(with: segment)) } func testNonIntersectionWithAxisLineSegment2() { let segment = LineSegment(unchecked: Vector(0, 0, 1), Vector(0, 0, 3)) let plane = Plane(unchecked: .unitZ, w: 4) XCTAssertNil(plane.intersection(with: segment)) } } ShapeScript-1.6.14/Euclid/Tests/PolygonCSGTests.swift000066400000000000000000000043361450355336000224360ustar00rootroot00000000000000// // PolygonCSGTests.swift // Euclid // // Created by Nick Lockwood on 15/01/2023. // Copyright © 2023 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest class PolygonCSGTests: XCTestCase { // MARK: Plane clipping func testSquareClippedToPlane() { let a = Path.square().facePolygons()[0] let plane = Plane(unchecked: .unitX, pointOnPlane: .zero) let b = a.clip(to: plane) XCTAssertEqual(Bounds(polygons: b), .init(Vector(0, -0.5), Vector(0.5, 0.5))) } func testPentagonClippedToPlane() { let a = Path.circle(segments: 5).facePolygons()[0] let plane = Plane(unchecked: .unitX, pointOnPlane: .zero) let b = a.clip(to: plane) XCTAssertEqual(Bounds(polygons: b), .init( Vector(0, -0.404508497187), Vector(0.475528258148, 0.5) )) } func testDiamondClippedToPlane() { let a = Path.circle(segments: 4).facePolygons()[0] let plane = Plane(unchecked: .unitX, pointOnPlane: .zero) let b = a.clip(to: plane) XCTAssertEqual(Bounds(polygons: b), .init(Vector(0, -0.5), Vector(0.5, 0.5))) } // MARK: Plane splitting func testSquareSplitAlongPlane() { let a = Path.square().facePolygons()[0] let plane = Plane(unchecked: .unitX, pointOnPlane: .zero) let b = a.split(along: plane) XCTAssertEqual( Bounds(polygons: b.0), .init(Vector(0, -0.5), Vector(0.5, 0.5)) ) XCTAssertEqual( Bounds(polygons: b.1), .init(Vector(-0.5, -0.5), Vector(0, 0.5)) ) XCTAssertEqual(b.front, b.0) XCTAssertEqual(b.back, b.1) } func testSquareSplitAlongItsOwnPlane() { let a = Path.square().facePolygons()[0] let plane = Plane(unchecked: .unitZ, pointOnPlane: .zero) let b = a.split(along: plane) XCTAssertEqual(b.front, [a]) XCTAssert(b.back.isEmpty) } func testSquareSplitAlongReversePlane() { let a = Path.square().facePolygons()[0] let plane = Plane(unchecked: -.unitZ, pointOnPlane: .zero) let b = a.split(along: plane) XCTAssertEqual(b.back, [a]) XCTAssert(b.front.isEmpty) } } ShapeScript-1.6.14/Euclid/Tests/PolygonTests.swift000066400000000000000000001076521450355336000221060ustar00rootroot00000000000000// // PolygonTests.swift // GeometryScriptTests // // Created by Nick Lockwood on 19/09/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest extension Euclid.Polygon { // Convenience constructor for testing init(unchecked vertices: [Vertex], plane: Plane? = nil) { self.init( unchecked: vertices, plane: plane, isConvex: nil, sanitizeNormals: true, material: nil ) } // Convenience constructor for testing init(unchecked points: [Vector]) { let normal = faceNormalForPolygonPoints(points, convex: nil, closed: nil) self.init(unchecked: points.map { Vertex($0, normal) }) } } class PolygonTests: XCTestCase { // MARK: initialization func testConvexPolygonAnticlockwiseWinding() { let normal = Vector.unitZ guard let polygon = Polygon([ Vertex(Vector(-1, 1), normal), Vertex(Vector(-1, -1), normal), Vertex(Vector(1, -1), normal), Vertex(Vector(1, 1), normal), ]) else { XCTFail() return } XCTAssertEqual(polygon.plane.normal, normal) } func testConvexPolygonClockwiseWinding() { let normal = -Vector.unitZ guard let polygon = Polygon([ Vertex(Vector(-1, -1), normal), Vertex(Vector(-1, 1), normal), Vertex(Vector(1, 1), normal), Vertex(Vector(1, -1), normal), ]) else { XCTFail() return } XCTAssertEqual(polygon.plane.normal, normal) } func testConcavePolygonAnticlockwiseWinding() { let normal = Vector.unitZ guard let polygon = Polygon([ Vertex(Vector(-1, 0), normal), Vertex(Vector(0, 0), normal), Vertex(Vector(0, -1), normal), Vertex(Vector(1, -1), normal), Vertex(Vector(1, 1), normal), Vertex(Vector(-1, 1), normal), ]) else { XCTFail() return } XCTAssertEqual(polygon.plane.normal, normal) } func testConcavePolygonClockwiseWinding() { let normal = -Vector.unitZ guard let polygon = Polygon([ Vertex(Vector(-1, 0), normal), Vertex(Vector(0, 0), normal), Vertex(Vector(0, 1), normal), Vertex(Vector(1, 1), normal), Vertex(Vector(1, -1), normal), Vertex(Vector(-1, -1), normal), ]) else { XCTFail() return } XCTAssertEqual(polygon.plane.normal, normal) } func testDegeneratePolygonWithCollinearPoints() { let normal = Vector.unitZ XCTAssertNil(Polygon([ Vertex(Vector(0, 1), normal), Vertex(Vector(0, 0), normal), Vertex(Vector(0, -2), normal), ])) } func testNonDegeneratePolygonWithCollinearPoints() { let normal = Vector.unitZ XCTAssertNotNil(Polygon([ Vertex(Vector(0, 1), normal), Vertex(Vector(0, 0), normal), Vertex(Vector(0, -2), normal), Vertex(Vector(1.5, -1), normal), ])) } func testDegeneratePolygonWithSelfIntersectingPoints() { let normal = Vector.unitZ XCTAssertNil(Polygon([ Vertex(Vector(0, 0), normal), Vertex(Vector(1, 1), normal), Vertex(Vector(1, 0), normal), Vertex(Vector(0, 1), normal), ])) } func testPolygonWithOnlyTwoPoints() { let normal = Vector.unitZ XCTAssertNil(Polygon([ Vertex(Vector(-1, 1), normal), Vertex(Vector(-1, -1), normal), ])) } func testZeroNormals() { guard let polygon = Polygon([ Vertex(Vector(-1, 1), .zero), Vertex(Vector(-1, -1), .zero), Vertex(Vector(1, -1), .zero), Vertex(Vector(1, 1), .zero), ]) else { XCTFail() return } XCTAssert(polygon.vertices.allSatisfy { $0.normal == polygon.plane.normal }) } func testPolygonFromVectors() { guard let polygon = Polygon([ Vector(-1, 1), Vector(-1, -1), Vector(1, -1), Vector(1, 1), ]) else { XCTFail() return } XCTAssert(polygon.vertices.allSatisfy { $0.normal == polygon.plane.normal }) } // MARK: merging func testMerge1() { let normal = Vector.unitZ let a = Polygon(unchecked: [ Vertex(Vector(0, 1), normal), Vertex(Vector(0, 0), normal), Vertex(Vector(1, 1), normal), ]) let b = Polygon(unchecked: [ Vertex(Vector(1, 1), normal), Vertex(Vector(0, 0), normal), Vertex(Vector(1, 0), normal), ]) let c = Polygon(unchecked: [ Vertex(Vector(0, 1), normal), Vertex(Vector(0, 0), normal), Vertex(Vector(1, 0), normal), Vertex(Vector(1, 1), normal), ]) XCTAssertEqual(a.merge(b), c) } func testMerge2() { let normal = Vector.unitZ let a = Polygon(unchecked: [ Vertex(Vector(0, 1), normal), Vertex(Vector(1, 0), normal), Vertex(Vector(1, 1), normal), ]) let b = Polygon(unchecked: [ Vertex(Vector(2, 1), normal), Vertex(Vector(1, 1), normal), Vertex(Vector(1, 0), normal), ]) let c = Polygon(unchecked: [ Vertex(Vector(0, 1), normal), Vertex(Vector(1, 0), normal), Vertex(Vector(2, 1), normal), ]) XCTAssertEqual(a.merge(b), c) } func testMergeL2RAdjacentRects() { let normal = Vector.unitZ let a = Polygon(unchecked: [ Vertex(Vector(-1, 1), normal), Vertex(Vector(-1, -1), normal), Vertex(Vector(0, -1), normal), Vertex(Vector(0, 1), normal), ]) let b = Polygon(unchecked: [ Vertex(Vector(0, 1), normal), Vertex(Vector(0, -1), normal), Vertex(Vector(1, -1), normal), Vertex(Vector(1, 1), normal), ]) guard let c = a.merge(b) else { XCTFail() return } XCTAssertEqual(c, Polygon(unchecked: [ Vertex(Vector(-1, 1), normal), Vertex(Vector(-1, -1), normal), Vertex(Vector(1, -1), normal), Vertex(Vector(1, 1), normal), ])) } func testMergeR2LAdjacentRects() { let normal = Vector.unitZ let a = Polygon(unchecked: [ Vertex(Vector(0, 1), normal), Vertex(Vector(0, -1), normal), Vertex(Vector(1, -1), normal), Vertex(Vector(1, 1), normal), ]) let b = Polygon(unchecked: [ Vertex(Vector(-1, 1), normal), Vertex(Vector(-1, -1), normal), Vertex(Vector(0, -1), normal), Vertex(Vector(0, 1), normal), ]) guard let c = a.merge(b) else { XCTFail() return } XCTAssertEqual(c, Polygon(unchecked: [ Vertex(Vector(1, -1), normal), Vertex(Vector(1, 1), normal), Vertex(Vector(-1, 1), normal), Vertex(Vector(-1, -1), normal), ])) } func testMergeB2TAdjacentRects() { let normal = Vector.unitZ let a = Polygon(unchecked: [ Vertex(Vector(-1, 0), normal), Vertex(Vector(-1, -1), normal), Vertex(Vector(1, -1), normal), Vertex(Vector(1, 0), normal), ]) let b = Polygon(unchecked: [ Vertex(Vector(-1, 1), normal), Vertex(Vector(-1, 0), normal), Vertex(Vector(1, 0), normal), Vertex(Vector(1, 1), normal), ]) guard let c = a.merge(b) else { XCTFail() return } XCTAssertEqual(c, Polygon(unchecked: [ Vertex(Vector(-1, -1), normal), Vertex(Vector(1, -1), normal), Vertex(Vector(1, 1), normal), Vertex(Vector(-1, 1), normal), ])) } func testMergeT2BAdjacentRects() { let normal = Vector.unitZ let a = Polygon(unchecked: [ Vertex(Vector(-1, 1), normal), Vertex(Vector(-1, 0), normal), Vertex(Vector(1, 0), normal), Vertex(Vector(1, 1), normal), ]) let b = Polygon(unchecked: [ Vertex(Vector(-1, 0), normal), Vertex(Vector(-1, -1), normal), Vertex(Vector(1, -1), normal), Vertex(Vector(1, 0), normal), ]) guard let c = a.merge(b) else { XCTFail() return } XCTAssertEqual(c, Polygon(unchecked: [ Vertex(Vector(1, 1), normal), Vertex(Vector(-1, 1), normal), Vertex(Vector(-1, -1), normal), Vertex(Vector(1, -1), normal), ])) } func testMergeL2RAdjacentRectAndTriangle() { let normal = Vector.unitZ let a = Polygon(unchecked: [ Vertex(Vector(-1, 1), normal), Vertex(Vector(-1, -1), normal), Vertex(Vector(0, -1), normal), Vertex(Vector(0, 1), normal), ]) let b = Polygon(unchecked: [ Vertex(Vector(0, 1), normal), Vertex(Vector(0, -1), normal), Vertex(Vector(1, 1), normal), ]) guard let c = a.merge(b) else { XCTFail() return } XCTAssertEqual(c, Polygon(unchecked: [ Vertex(Vector(-1, 1), normal), Vertex(Vector(-1, -1), normal), Vertex(Vector(0, -1), normal), Vertex(Vector(1, 1), normal), ])) } func testMergeEdgeCase() { let normal = Vector.unitZ let a = Polygon(unchecked: [ Vertex(Vector(-0.02, 0.8), normal), Vertex(Vector(0.7028203230300001, 0.38267949192000006), normal), Vertex(Vector(0.7028203230300001, -0.38267949192000006), normal), ]) let b = Polygon(unchecked: [ Vertex(Vector(0.7028203230300001, -0.38267949192000006), normal), Vertex(Vector(-0.02, -0.8), normal), Vertex(Vector(-0.6828203230300001, -0.41732050808000004), normal), Vertex(Vector(-0.6828203230300001, 0.41732050808000004), normal), Vertex(Vector(-0.02, 0.8), normal), ]) let c = Polygon(unchecked: [ Vertex(Vector(0.7028203230300001, 0.38267949192000006), normal), Vertex(Vector(0.7028203230300001, -0.38267949192000006), normal), Vertex(Vector(-0.02, -0.8), normal), Vertex(Vector(-0.6828203230300001, -0.41732050808000004), normal), Vertex(Vector(-0.6828203230300001, 0.41732050808000004), normal), Vertex(Vector(-0.02, 0.8), normal), ]) XCTAssertEqual(a.merge(b), c) } // MARK: containsPoint func testConvexAnticlockwisePolygonContainsPoint() { let path = Path([ .point(-1, 1), .point(-1, -1), .point(1, -1), .point(1, 1), .point(-1, 1), ]) guard let polygon = Polygon(shape: path) else { XCTFail() return } XCTAssertTrue(polygon.containsPoint(Vector(0, 0))) XCTAssertTrue(polygon.containsPoint(Vector(-0.999, 0.999))) XCTAssertTrue(polygon.containsPoint(Vector(0.999, 0.999))) XCTAssertTrue(polygon.containsPoint(Vector(0.999, -0.999))) XCTAssertTrue(polygon.containsPoint(Vector(-0.999, -0.999))) XCTAssertFalse(polygon.containsPoint(Vector(-1.001, 0))) XCTAssertFalse(polygon.containsPoint(Vector(1.001, 0))) XCTAssertFalse(polygon.containsPoint(Vector(0, -1.001))) XCTAssertFalse(polygon.containsPoint(Vector(0, 1.001))) } func testConvexClockwisePolygonContainsPoint() { let path = Path([ .point(-1, -1), .point(-1, 1), .point(1, 1), .point(1, -1), .point(-1, -1), ]) guard let polygon = Polygon(shape: path) else { XCTFail() return } XCTAssertTrue(polygon.containsPoint(Vector(0, 0))) XCTAssertTrue(polygon.containsPoint(Vector(-0.999, 0.999))) XCTAssertTrue(polygon.containsPoint(Vector(0.999, 0.999))) XCTAssertTrue(polygon.containsPoint(Vector(0.999, -0.999))) XCTAssertTrue(polygon.containsPoint(Vector(-0.999, -0.999))) XCTAssertFalse(polygon.containsPoint(Vector(-1.001, 0))) XCTAssertFalse(polygon.containsPoint(Vector(1.001, 0))) XCTAssertFalse(polygon.containsPoint(Vector(0, -1.001))) XCTAssertFalse(polygon.containsPoint(Vector(0, 1.001))) } func testConcaveAnticlockwisePolygonContainsPoint() { let path = Path([ .point(-1, 0), .point(0, 0), .point(0, -1), .point(1, -1), .point(1, 1), .point(-1, 1), .point(-1, 0), ]) guard let polygon = Polygon(shape: path) else { XCTFail() return } XCTAssertTrue(polygon.containsPoint(Vector(-0.5, 0.5))) XCTAssertTrue(polygon.containsPoint(Vector(0.5, 0.5))) XCTAssertFalse(polygon.containsPoint(Vector(-0.5, -0.5))) XCTAssertTrue(polygon.containsPoint(Vector(0.5, -0.5))) } func testConcaveAnticlockwisePolygonContainsPoint2() { let path = Path([ .point(0, 1), .point(0.5, 0), .point(0, -1), .point(1, 0), .point(0, 1), ]) guard let polygon = Polygon(shape: path) else { XCTFail() return } XCTAssertTrue(polygon.containsPoint(Vector(0.75, 0))) XCTAssertFalse(polygon.containsPoint(Vector(0.25, 0))) XCTAssertFalse(polygon.containsPoint(Vector(0.25, 0.25))) XCTAssertFalse(polygon.containsPoint(Vector(0.25, -0.25))) XCTAssertTrue(polygon.containsPoint(Vector(0.25, 0.5))) XCTAssertTrue(polygon.containsPoint(Vector(0.25, -0.5))) } // MARK: merging func testMergingVerticesCrash() throws { let polygon = try XCTUnwrap(Polygon([ Vector(0.01478207252, 0.006122934918, 0.04), Vector(0.014782086265, 0.006122896504, 0.04), Vector(0.01478208, 0.006122928, 0.04), Vector(0.014782069226, 0.0061229441239999995, 0.04), ])) XCTAssert([polygon].mergingVertices(withPrecision: 1e-7).isEmpty) } // MARK: tessellation func testConcaveAnticlockwisePolygonCorrectlyTessellated() { let path = Path([ .point(0, 1), .point(0.5, 0), .point(0, -1), .point(1, 0), .point(0, 1), ]) guard let polygon = Polygon(shape: path) else { XCTFail() return } let polygons = polygon.tessellate() XCTAssertEqual(polygons.count, 2) guard polygons.count > 1 else { return } let a = Set(polygons[0].vertices.map { $0.position }) let expectedA = Set([ Vector(0, 1), Vector(0.5, 0), Vector(1, 0), ]) let b = Set(polygons[1].vertices.map { $0.position }) let expectedB = Set([ Vector(0.5, 0), Vector(1, 0), Vector(0, -1), ]) XCTAssert(a == expectedA || a == expectedB) XCTAssert(b == expectedA || b == expectedB) } func testInvertedConcaveAnticlockwisePolygonCorrectlyTessellated() { let path = Path([ .point(0, 1), .point(0.5, 0), .point(0, -1), .point(1, 0), .point(0, 1), ]) guard let polygon = Polygon(shape: path)?.inverted() else { XCTFail() return } let polygons = polygon.tessellate() XCTAssertEqual(polygons.count, 2) guard polygons.count > 1 else { return } let a = Set(polygons[0].vertices.map { $0.position }) let expectedA = Set([ Vector(0, 1), Vector(1, 0), Vector(0.5, 0), ]) let b = Set(polygons[1].vertices.map { $0.position }) let expectedB = Set([ Vector(0.5, 0), Vector(1, 0), Vector(0, -1), ]) XCTAssert(a == expectedA || a == expectedB) XCTAssert(b == expectedA || b == expectedB) } // MARK: triangulation func testConcaveAnticlockwisePolygonCorrectlyTriangulated() { let path = Path([ .point(0, 1), .point(0.5, 0), .point(0, -1), .point(1, 0), .point(0, 1), ]) guard let polygon = Polygon(shape: path) else { XCTFail() return } let triangles = polygon.triangulate() XCTAssertEqual(triangles.count, 2) guard triangles.count > 1 else { return } let a = Set(triangles[0].vertices.map { $0.position }) let expectedA = Set([ Vector(0, 1), Vector(0.5, 0), Vector(1, 0), ]) let b = Set(triangles[1].vertices.map { $0.position }) let expectedB = Set([ Vector(0.5, 0), Vector(1, 0), Vector(0, -1), ]) XCTAssert(a == expectedA || a == expectedB) XCTAssert(b == expectedA || b == expectedB) } func testInvertedConcaveAnticlockwisePolygonCorrectlyTriangulated() { let path = Path([ .point(0, 1), .point(0.5, 0), .point(0, -1), .point(1, 0), .point(0, 1), ]) guard let polygon = Polygon(shape: path)?.inverted() else { XCTFail() return } let triangles = polygon.triangulate() XCTAssertEqual(triangles.count, 2) guard triangles.count > 1 else { return } let a = Set(triangles[0].vertices.map { $0.position }) let expectedA = Set([ Vector(0, 1), Vector(1, 0), Vector(0.5, 0), ]) let b = Set(triangles[1].vertices.map { $0.position }) let expectedB = Set([ Vector(0.5, 0), Vector(1, 0), Vector(0, -1), ]) XCTAssert(a == expectedA || a == expectedB) XCTAssert(b == expectedA || b == expectedB) } func testPolygonWithCollinearPointsCorrectlyTriangulated() { let normal = -Vector.unitZ guard let polygon = Polygon([ Vertex(Vector(0, 0), normal), Vertex(Vector(0.5, 0), normal), Vertex(Vector(0.5, 1), normal), Vertex(Vector(-0.5, 1), normal), Vertex(Vector(-0.5, 0), normal), ]) else { XCTFail() return } var triangles = polygon.triangulate() XCTAssertEqual(triangles.count, 3) triangles = polygon.inverted().triangulate() XCTAssertEqual(triangles.count, 3) } func testPolygonWithCollinearPointsCorrectlyTriangulated2() { guard let polygon = Polygon([ Vector(0.461939766256, 0.191341716182, -0.25), Vector(0.441341716184, 0.294895106774, -0.25), Vector(0.417044659481, 0.417044659481, -0.25), Vector(0.576640741219, 0.385299025038, -0.25), Vector(0.5, -0.0, -0.25), ]) else { XCTFail() return } var triangles = polygon.triangulate() XCTAssertEqual(triangles.count, 3) triangles = polygon.inverted().triangulate() XCTAssertEqual(triangles.count, 3) } func testPolygonWithCollinearPointsCorrectlyTriangulated3() throws { var vertices = [ Vector(0.4912109375, -0.071044921875), Vector(0.4248046875, 0.02783203125), Vector(0.4248046875, 0.0869140625), Vector(0.4248046875, 0.39599609375), ] for _ in 0 ..< vertices.count { vertices.append(vertices.removeFirst()) let polygon = try XCTUnwrap(Polygon(vertices)) var triangles = polygon.triangulate() XCTAssertEqual(triangles.count, 2) triangles = polygon.inverted().triangulate() XCTAssertEqual(triangles.count, 2) } } func testPolygonWithCollinearPointsCorrectlyTriangulated4() throws { var vertices: [Vector] = [ Vector(-0.091920812939, 0.5, -0.091920812941), Vector(-0.072221719299, 0.5, -0.10808744129), Vector(0.014089758474, 0.5, -0.178921440503), Vector(0.24759816005399998, 0.5, -0.370556833159), Vector(0.163974489221, 0.5, -0.47245257089299997), Vector(0.050896473764, 0.5, -0.509193845326), Vector(-0.23482898783199999, 0.5, 0.025360895229), ] for _ in 0 ..< vertices.count { vertices.append(vertices.removeFirst()) let polygon = try XCTUnwrap(Polygon(vertices)) var triangles = polygon.triangulate() XCTAssertEqual(triangles.count, 5) triangles = polygon.inverted().triangulate() XCTAssertEqual(triangles.count, 5) } } func testPolygonWithCollinearPointsCorrectlyTriangulated5() throws { var vertices: [Vector] = [ Vector(0.536172689719, -0.15625, -0.306628888565), Vector(0.535144390949, -0.15625, -0.297143965055), Vector(0.534721324944, -0.15625, -0.293241647158), Vector(0.534352794426, -0.15625, -0.289842359053), Vector(0.535684230911, -0.160917677273, -0.295354331759), Vector(0.535839598175, -0.160870260488, -0.296856187422), Vector(0.536427908063, -0.160690713247, -0.302543077416), Vector(0.550978482581, -0.15625, -0.443196019538), ] for _ in 0 ..< vertices.count { vertices.append(vertices.removeFirst()) let polygon = try XCTUnwrap(Polygon(vertices)) var triangles = polygon.triangulate() XCTAssertEqual(triangles.count, 6) triangles = polygon.inverted().triangulate() XCTAssertEqual(triangles.count, 6) } } func testHouseShapedPolygonCorrectlyTriangulated() { let normal = -Vector.unitZ let epsilon = 1e-8 guard let polygon = Polygon([ Vertex(Vector(0, 0.5), normal), Vertex(Vector(1, 0), normal), Vertex(Vector(0.5, -epsilon), normal), Vertex(Vector(0.5, -1), normal), Vertex(Vector(-0.5, -1), normal), Vertex(Vector(-0.5, -epsilon), normal), Vertex(Vector(-1, 0), normal), ]) else { XCTFail() return } let triangles = polygon.triangulate() XCTAssertEqual(triangles.count, 5) } func testPathWithZeroAreaCollinearPointTriangulated() { let path = Path([ .point(0.18, 0.245), .point(0.18, 0.255), .point(0.17, 0.255), .point(0.16, 0.247), .point(0.16, 0.244), .point(0.16, 0.245), .point(0.18, 0.245), ]) guard let polygon = Polygon(shape: path) else { XCTFail() return } let triangles = polygon.triangulate() XCTAssertEqual(triangles.count, 3) } func testSlightlyNonPlanarPolygonTriangulated() { let offset = epsilon / 2 let path = Path([ .point(1.086, 0, 0.17), .point(1.086, 0, 0.14), .point(0.95, offset, 0.14), .point(0.935, 0, 0.1), .point(0.935, 0, 0.17), .point(1.086, 0, 0.17), ]) guard let polygon = Polygon(shape: path) else { XCTFail() return } let triangles = polygon.triangulate() XCTAssertEqual(triangles.count, 3) let points = triangles.map { $0.vertices.map { $0.position } } XCTAssertEqual(points, [ [ Vector(0.9349999999999999, 0.0, 0.16999999999999998), Vector(1.086, 0.0, 0.16999999999999998), Vector(1.086, 0.0, 0.13999999999999999), ], [ Vector(0.9349999999999999, 0.0, 0.16999999999999998), Vector(1.086, 0.0, 0.13999999999999999), Vector(0.95, offset, 0.13999999999999999), ], [ Vector(0.95, offset, 0.13999999999999999), Vector(0.9349999999999999, 0.0, 0.09999999999999999), Vector(0.9349999999999999, 0.0, 0.16999999999999998), ], ]) let merged = triangles.detessellate(ensureConvex: false) XCTAssertEqual(Set(merged.flatMap { $0.vertices }), Set(polygon.vertices)) } func testInvertedSlightlyNonPlanarPolygonTriangulated() { let offset = epsilon / 2 let path = Path([ .point(1.086, 0, 0.17), .point(1.086, 0, 0.14), .point(0.95, offset, 0.14), .point(0.935, 0, 0.1), .point(0.935, 0, 0.17), .point(1.086, 0, 0.17), ]) guard let polygon = Polygon(shape: path)?.inverted() else { XCTFail() return } let triangles = polygon.triangulate() XCTAssertEqual(triangles.count, 3) let points = triangles.map { $0.vertices.map { $0.position } } XCTAssertEqual(points, [ [ Vector(0.9349999999999999, 0.0, 0.16999999999999998), Vector(0.9349999999999999, 0.0, 0.09999999999999999), Vector(0.95, offset, 0.13999999999999999), ], [ Vector(0.9349999999999999, 0.0, 0.16999999999999998), Vector(0.95, offset, 0.13999999999999999), Vector(1.086, 0.0, 0.13999999999999999), ], [ Vector(0.9349999999999999, 0.0, 0.16999999999999998), Vector(1.086, 0.0, 0.13999999999999999), Vector(1.086, 0.0, 0.16999999999999998), ], ]) let merged = triangles.detessellate(ensureConvex: false) XCTAssertEqual(Set(merged.flatMap { $0.vertices }), Set(polygon.vertices)) } func testPolygonIDPreservedThroughTriangulation() { let path = Path([ .point(0, 1), .point(0.5, 0), .point(0, -1), .point(1, 0), .point(0, 1), ]) guard let polygon = Polygon(shape: path)?.with(id: 5) else { XCTFail() return } let triangles = polygon.triangulate() XCTAssert(triangles.allSatisfy { $0.id == 5 }) } func testPolygonIDPreservedThroughTessellation() { let path = Path([ .point(0, 1), .point(0.5, 0), .point(0, -1), .point(1, 0), .point(0, 1), ]) guard let polygon = Polygon(shape: path)?.with(id: 5) else { XCTFail() return } let polygons = polygon.tessellate() XCTAssert(polygons.allSatisfy { $0.id == 5 }) } func testComplexCharacterPathTriangulated() { #if canImport(CoreText) let font = CTFontCreateWithName("Courier" as CFString, 2, nil) let paths = Path.text("p", font: font, width: nil, detail: 2) for path in paths.flatMap({ $0.subpaths }) { XCTAssertFalse(path.facePolygons().triangulate().isEmpty) } #endif } func testComplexCharacterPathTriangulated2() { #if canImport(CoreText) let font = CTFontCreateWithName("Courier" as CFString, 2, nil) let paths = Path.text("n", font: font, width: nil, detail: 2) for path in paths.flatMap({ $0.subpaths }) { XCTAssertFalse(path.facePolygons().triangulate().isEmpty) } #endif } func testComplexCharacterPathTriangulated3() { #if canImport(CoreText) let font = CTFontCreateWithName("Times" as CFString, 2, nil) let paths = Path.text("H", font: font, width: nil, detail: 2) for path in paths.flatMap({ $0.subpaths }) { XCTAssertFalse(path.facePolygons().triangulate().isEmpty) } #endif } // MARK: edges func testOrderedEdges() { let circle = Polygon(shape: .circle())! let edges = circle.orderedEdges XCTAssertEqual(edges.count, circle.vertices.count) var u = circle.vertices.last! for (e, v) in zip(edges, circle.vertices) { XCTAssertEqual(e.start, u.position) XCTAssertEqual(e.end, v.position) u = v } } func testUndirectedEdges() { let circle = Polygon(shape: .circle())! let orderedEdges = circle.orderedEdges let undirectedEdges = circle.undirectedEdges XCTAssertEqual(orderedEdges.count, undirectedEdges.count) for edge in orderedEdges { let normalized = LineSegment(normalized: edge.start, edge.end) XCTAssert(undirectedEdges.contains(normalized)) } } // MARK: detessellation func testConcaveAnticlockwisePolygonCorrectlyDetessellated() { let path = Path([ .point(0, 1), .point(0.5, 0), .point(0, -1), .point(1, 0), .point(0, 1), ]) guard let polygon = Polygon(shape: path) else { XCTFail() return } let polygons = polygon.tessellate() XCTAssertEqual(polygons.count, 2) let result = polygons.detessellate() XCTAssertEqual(result.count, 1) XCTAssertEqual(result.first?.undirectedEdges, polygon.undirectedEdges) XCTAssertEqual(Set(result.first?.vertices ?? []), Set(polygon.vertices)) } func testInvertedConcaveAnticlockwisePolygonCorrectlyDetessellated() { let path = Path([ .point(0, 1), .point(0.5, 0), .point(0, -1), .point(1, 0), .point(0, 1), ]) guard let polygon = Polygon(shape: path)?.inverted() else { XCTFail() return } let polygons = polygon.tessellate() XCTAssertEqual(polygons.count, 2) let result = polygons.detessellate() XCTAssertEqual(result.count, 1) XCTAssertEqual(result.first?.undirectedEdges, polygon.undirectedEdges) XCTAssertEqual(Set(result.first?.vertices ?? []), Set(polygon.vertices)) } func testPolygonWithCollinearPointsCorrectlyDetessellated() { let normal = -Vector.unitZ let polygon = Polygon(unchecked: [ Vertex(Vector(0, 0), normal), Vertex(Vector(0.5, 0), normal), Vertex(Vector(0.5, 1), normal), Vertex(Vector(-0.5, 1), normal), Vertex(Vector(-0.5, 0), normal), ]) let triangles = polygon.triangulate() XCTAssertEqual(triangles.count, 3) let result = triangles.detessellate() XCTAssertEqual(result.count, 1) XCTAssertEqual(result.first?.vertices.count, 4) XCTAssertEqual(result.first?.undirectedEdges.count, 4) } func testHouseShapedPolygonCorrectlyDetessellated() { let normal = -Vector.unitZ let polygon = Polygon(unchecked: [ Vertex(Vector(0, 0.5), normal), Vertex(Vector(1, 0), normal), Vertex(Vector(0.5, 0), normal), Vertex(Vector(0.5, -1), normal), Vertex(Vector(-0.5, -1), normal), Vertex(Vector(-0.5, 0), normal), Vertex(Vector(-1, 0), normal), ]) let triangles = polygon.triangulate() XCTAssertEqual(triangles.count, 5) let result = triangles.detessellate() XCTAssertEqual(result.count, 1) XCTAssertEqual(result.first?.undirectedEdges, polygon.undirectedEdges) XCTAssertEqual(Set(result.first?.vertices ?? []), Set(polygon.vertices)) } func testNonWatertightPolygonsCorrectlyDetessellated() { let normal = -Vector.unitZ let triangles = [ Polygon(unchecked: [ Vertex(Vector(0, -1), normal), Vertex(Vector(-2, 0), normal), Vertex(Vector(2, 0), normal), ]), Polygon(unchecked: [ Vertex(Vector(-2, 0), normal), Vertex(Vector(0, 1), normal), Vertex(Vector(0, 0), normal), ]), Polygon(unchecked: [ Vertex(Vector(2, 0), normal), Vertex(Vector(0, 0), normal), Vertex(Vector(0, 1), normal), ]), ] let result = triangles.detessellate() XCTAssertEqual(result.count, 1) XCTAssertEqual(result, [ Polygon(unchecked: [ Vertex(Vector(0, -1), normal), Vertex(Vector(-2, 0), normal), Vertex(Vector(0, 1), normal), Vertex(Vector(2, 0), normal), ]), ]) } // MARK: area func testAreaOfClockwiseSquare() { let polygon = Polygon(unchecked: [ Vector(0, 0), Vector(0, 1), Vector(1, 1), Vector(1, 0), ]) XCTAssertEqual(polygon.area, 1) } func testAreaOfAnticlockwiseSquare() { let polygon = Polygon(unchecked: [ Vector(0, 0), Vector(0, -1), Vector(1, -1), Vector(1, 0), ]) XCTAssertEqual(polygon.area, 1) } func testAreaOfAnticlockwiseTriangle() { let polygon = Polygon(unchecked: [ Vector(0, 0), Vector(0, -1), Vector(1, 0), ]) XCTAssertEqual(polygon.area, 0.5) } func testAreaOfAnticlockwiseTrapezium() { let polygon = Polygon(unchecked: [ Vector(0, 0), Vector(-1, -1), Vector(2, -1), Vector(1, 0), ]) XCTAssertEqual(polygon.area, 2) } func testAreaOfLShapedClockwisePolygon() { let polygon = Polygon(unchecked: [ Vector(0, 0), Vector(0, 2), Vector(1, 2), Vector(1, 1), Vector(2, 1), Vector(2, 0), ]) XCTAssertEqual(polygon.area, 3) } func testAreaOfRotatedAnticlockwiseSquare() { for _ in 0 ..< 10 { guard let rotation = Rotation( axis: Vector( .random(in: -1 ... 1), .random(in: -1 ... 1), .random(in: -1 ... 1) ), angle: .radians(.random(in: 0 ..< .pi * 2)) ) else { continue } let polygon = Polygon(unchecked: [ Vector(0, 0), Vector(0, -1), Vector(1, -1), Vector(1, 0), ]).rotated(by: rotation) XCTAssertEqual(polygon.area, 1, accuracy: epsilon) } } func testAreaOfFlatClockwiseSquareNotAtOrigin() { let polygon = Polygon(unchecked: [ Vector(0, 0, 1), Vector(0, 1, 1), Vector(1, 1, 1), Vector(1, 0, 1), ]) XCTAssertEqual(polygon.area, 1) } func testAreaOfRotatedAnticlockwiseSquareNotAtOrigin() { for _ in 0 ..< 10 { guard let rotation = Rotation( axis: Vector( .random(in: -1 ... 1), .random(in: -1 ... 1), .random(in: -1 ... 1) ), angle: .radians(.random(in: 0 ..< .pi * 2)) ) else { continue } let polygon = Polygon(unchecked: [ Vector(0, 0, 1), Vector(0, -1, 1), Vector(1, -1, 1), Vector(1, 0, 1), ]).rotated(by: rotation) XCTAssertEqual(polygon.area, 1, accuracy: epsilon) } } } ShapeScript-1.6.14/Euclid/Tests/QuaternionTests.swift000066400000000000000000000114121450355336000225700ustar00rootroot00000000000000// // QuaternionTests.swift // Euclid // // Created by Nick Lockwood on 17/10/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest class QuaternionTests: XCTestCase { func testNormalizeZeroQuaternion() { let q = Quaternion.zero XCTAssertEqual(q.normalized(), .zero) } func testReverseQuaternionRotation() { let q = Quaternion(roll: -.pi * 0.5) let q2 = Quaternion(roll: .pi * 1.5) let vector = Vector(0.5, 0.5, 0.5) XCTAssertEqual(vector.rotated(by: q), vector.rotated(by: q2)) XCTAssertEqual(vector.rotated(by: q).rotated(by: -q), vector) XCTAssertEqual(vector.rotated(by: q2).rotated(by: -q2), vector) XCTAssertNotEqual(vector.rotated(by: q), vector.rotated(by: -q)) XCTAssertNotEqual(vector.rotated(by: q2), vector.rotated(by: -q2)) } func testAxisAngle() { let q = Quaternion(unchecked: .unitX, angle: .halfPi) XCTAssertEqual(q.axis, .unitX) XCTAssert(q.angle.isEqual(to: .halfPi)) } func testAxisAngle2() { let q = Quaternion(unchecked: .unitY, angle: .pi * 0.75) XCTAssertEqual(q.axis, .unitY) XCTAssert(q.angle.isEqual(to: .pi * 0.75)) } func testAxisAngle3() { let q = Quaternion(unchecked: .unitZ, angle: .halfPi) XCTAssertEqual(q.axis, .unitZ) XCTAssert(q.angle.isEqual(to: .halfPi)) } func testAxisAngle4() { let q = Quaternion(unchecked: .unitZ, angle: .zero) XCTAssertEqual(q.axis, .unitZ) XCTAssert(q.angle.isZero) } func testAxisAngleRotation() { let q = Quaternion(unchecked: .unitZ, angle: .halfPi) let v = Vector(0, 0.5, 0) let u = v.rotated(by: q) let w = v.rotated(by: Rotation(q)) XCTAssertEqual(u, w) XCTAssertEqual(u, Vector(0.5, 0, 0)) } func testAxisAngleRotation2() { let q = Quaternion(unchecked: .unitZ, angle: .halfPi) let v = Vector(0.5, 0, 0) let u = v.rotated(by: q) let w = v.rotated(by: Rotation(q)) XCTAssertEqual(u, w) XCTAssertEqual(u, Vector(0, -0.5, 0)) } func testAxisAngleRotation3() { let q = Quaternion(unchecked: .unitZ, angle: .halfPi) let v = Vector(0, 0, 0.5) let u = v.rotated(by: q) let w = v.rotated(by: Rotation(q)) XCTAssertEqual(u, w) XCTAssertEqual(u, Vector(0, 0, 0.5)) } func testQuaternionFromPitch() { let q = Quaternion(pitch: .halfPi) XCTAssertEqual(q.pitch.radians, .pi / 2, accuracy: epsilon) XCTAssertEqual(q.yaw, .zero) XCTAssertEqual(q.roll, .zero) let v = Vector(0, 0.5, 0), u = Vector(0, 0, -0.5) XCTAssertEqual(v.rotated(by: q), u) } func testQuaternionFromYaw() { let q = Quaternion(yaw: .halfPi) XCTAssertEqual(q.yaw, .halfPi) XCTAssertEqual(q.roll, .zero) XCTAssertEqual(q.pitch, .zero) let v = Vector(0.5, 0, 0), u = Vector(0, 0, 0.5) XCTAssertEqual(v.rotated(by: q), u) } func testQuaternionFromRoll() { let q = Quaternion(roll: .halfPi) XCTAssertEqual(q.roll.radians, .pi / 2, accuracy: epsilon) XCTAssertEqual(q.yaw, .zero) XCTAssertEqual(q.pitch, .zero) let v = Vector(0, 0.5, 0), u = Vector(0.5, 0, 0) XCTAssertEqual(v.rotated(by: q), u) } func testQuaternionFromRollYawPitch() { let roll = Angle.radians(2.31) let yaw = Angle.radians(0.2) let pitch = Angle.radians(1.12) let q = Quaternion(roll: roll, yaw: yaw, pitch: pitch) XCTAssertEqual(roll.radians, q.roll.radians, accuracy: epsilon) XCTAssertEqual(yaw.radians, q.yaw.radians, accuracy: epsilon) XCTAssertEqual(pitch.radians, q.pitch.radians, accuracy: epsilon) } func testQuaternionToAndFromRotation() { let roll = Angle.radians(2.31) let yaw = Angle.radians(0.2) let pitch = Angle.radians(1.12) let q = Quaternion(roll: roll, yaw: yaw, pitch: pitch) let r = Rotation(q) let q2 = Quaternion(r) XCTAssert(q.isEqual(to: q2)) XCTAssertEqual(q2.roll.radians, q.roll.radians, accuracy: epsilon) XCTAssertEqual(q2.yaw.radians, q.yaw.radians, accuracy: epsilon) XCTAssertEqual(q2.pitch.radians, q.pitch.radians, accuracy: epsilon) } func testQuaternionVectorRotation() { let q = Quaternion(pitch: .halfPi) let r = Rotation(pitch: .halfPi) let r2 = Rotation(q) let q2 = Quaternion(r) let v = Vector(0, 0.5, 0), u = Vector(0, 0, -0.5) XCTAssertEqual(v.rotated(by: q), u) XCTAssertEqual(v.rotated(by: q2), u) XCTAssertEqual(v.rotated(by: r), u) XCTAssertEqual(v.rotated(by: r2), u) } } ShapeScript-1.6.14/Euclid/Tests/SceneKitTests.swift000066400000000000000000000142611450355336000221550ustar00rootroot00000000000000// // SceneKitTests.swift // EuclidTests // // Created by Nick Lockwood on 06/09/2020. // Copyright © 2020 Nick Lockwood. All rights reserved. // #if canImport(SceneKit) @testable import Euclid import SceneKit import XCTest class SceneKitTests: XCTestCase { func testGeometryImportedWithCorrectDetail() { let sphere = SCNSphere(radius: 0.5) sphere.segmentCount = 3 let mesh = Mesh(sphere) XCTAssertEqual(mesh?.polygons.count ?? 0, 12) } func testImportedSTLFileHasFixedNormals() throws { let cubeFile = URL(fileURLWithPath: #file) .deletingLastPathComponent().appendingPathComponent("Cube.stl") let cube = try Mesh(url: cubeFile, ignoringTransforms: false) XCTAssert(cube.polygons.allSatisfy { polygon in polygon.vertices.allSatisfy { $0.normal == polygon.plane.normal } }) } func testExportImportTriangles() throws { let cube = Mesh.cube() let geometry = try XCTUnwrap(SCNGeometry( triangles: cube, materialLookup: nil )) XCTAssertNotNil(Mesh(geometry, materialLookup: nil)) } @available(OSX 10.12, iOS 10.0, tvOS 10.0, *) func testExportImportPolygons() throws { let cube = Mesh.cube() let geometry = try XCTUnwrap(SCNGeometry( polygons: cube, materialLookup: nil )) XCTAssertNotNil(Mesh(geometry, materialLookup: nil)) } func testSCNBoxIsWatertight() throws { for s in [0.01, 0.1, 0.2, 0.8, 1, 10] as [CGFloat] { let cube = SCNBox(width: s, height: s, length: s, chamferRadius: 0) let mesh = try XCTUnwrap(Mesh(cube)) XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) } } func testSCNCylinderIsWatertight() throws { for s in [0.2, 0.8, 3, 5, 10] as [CGFloat] { for r in [0.1, 0.2, 0.8, 3, 5, 10] as [CGFloat] { let cylinder = SCNCylinder(radius: r, height: s) let mesh = try XCTUnwrap(Mesh(cylinder)) XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) } } } func testSCNTubeIsWatertight() throws { for r in [0.1, 0.2, 0.8, 3, 5, 10] as [CGFloat] { for r2 in [0.001, 0.01, 0.1, 0.2] as [CGFloat] { let cylinder = SCNTube(innerRadius: r, outerRadius: r + r2, height: 1) let mesh = try XCTUnwrap(Mesh(cylinder)) XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) } } } func testSCNSphereIsWatertight() throws { for r in [0.01, 0.1, 0.2, 0.8, 3, 5, 10] as [CGFloat] { let sphere = SCNSphere(radius: r) let mesh = try XCTUnwrap(Mesh(sphere)) XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) } } func testSCNTextIsWatertight() throws { let text = SCNText(string: "Hello", extrusionDepth: 0.2) let mesh = try XCTUnwrap(Mesh(text)) XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) } func testSCNBoxSubtractedFromSCNBoxCanBeMadeWatertight() throws { let box1 = SCNBox(width: 0.2, height: 0.2, length: 0.2, chamferRadius: 0) let box2 = SCNBox(width: 0.1, height: 0.1, length: 0.1, chamferRadius: 0) let mesh = Mesh(box1)!.translated(by: Vector(0, 0, -0.4)) .subtract(Mesh(box2)!.translated(by: Vector(0, 0.12, -0.3))) .makeWatertight() XCTAssert(mesh.isWatertight) XCTAssert(mesh.polygons.areWatertight) } // MARK: Export func testExportCube() { let cube = Mesh.cube() let geometry = SCNGeometry(polygons: cube) XCTAssertEqual(geometry.sources.count, 2) XCTAssertEqual(geometry.sources.first?.vectorCount, 20) } func testExportCubeWithoutTexcoords() { let cube = Mesh.cube().withoutTexcoords() let geometry = SCNGeometry(polygons: cube) XCTAssertEqual(geometry.sources.count, 1) XCTAssertEqual(geometry.sources.first?.vectorCount, 8) } func testExportSphere() { let sphere = Mesh.sphere() let geometry = SCNGeometry(polygons: sphere) XCTAssertEqual(geometry.sources.count, 3) XCTAssertEqual(geometry.sources.first?.vectorCount, 151) } func testExportSphereWithoutTexcoords() { let sphere = Mesh.sphere().withoutTexcoords() let geometry = SCNGeometry(polygons: sphere) XCTAssertEqual(geometry.sources.count, 2) XCTAssertEqual(geometry.sources.first?.vectorCount, 151) } func testExportSphereWithoutTexcoordsOrNormals() { let sphere = Mesh.sphere().withoutTexcoords().smoothNormals(.zero) let geometry = SCNGeometry(polygons: sphere) XCTAssertEqual(geometry.sources.count, 1) XCTAssertEqual(geometry.sources.first?.vectorCount, 114) } // MARK: Transforms func testIdentityTransformToFromMatrix() { let transform = Transform.identity let matrix = SCNMatrix4(transform) XCTAssert(SCNMatrix4EqualToMatrix4(matrix, SCNMatrix4Identity)) XCTAssertEqual(transform, Transform(matrix)) } func testScaleTransformToFromMatrix() { let transform = Transform(scale: .init(size: [1.5])) let matrix = SCNMatrix4(transform) let expected = SCNMatrix4MakeScale(1.5, 1.5, 1.5) XCTAssert(SCNMatrix4EqualToMatrix4(matrix, expected)) XCTAssertEqual(transform, Transform(matrix)) } func testOffsetTransformToFromMatrix() { let transform = Transform(offset: .init(1, 2, 3)) let matrix = SCNMatrix4(transform) let expected = SCNMatrix4MakeTranslation(1, 2, 3) XCTAssert(SCNMatrix4EqualToMatrix4(matrix, expected)) XCTAssertEqual(transform, Transform(matrix)) } func testRotationTransformToFromMatrix() { let transform = Transform(rotation: .init(.yaw(-.pi))) let matrix = SCNMatrix4(transform) XCTAssertEqual(transform.scale, .one) XCTAssertEqual(transform.offset, .zero) XCTAssert(transform.rotation.isEqual(to: Transform(matrix).rotation)) } } #endif ShapeScript-1.6.14/Euclid/Tests/StretchableTests.swift000066400000000000000000000024031450355336000227030ustar00rootroot00000000000000// // StretchableTests.swift // EuclidTests // // Created by Nick Lockwood on 21/11/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest private extension Stretchable { func stretched(by scaleFactor: Double, along: Vector) -> Self { assert(along.isNormalized) return stretched(by: scaleFactor, along: Line( unchecked: .zero, direction: along.normalized() )) } } class StretchableTests: XCTestCase { // MARK: Rotation func testStretchPoint() { let p = Vector(1, 1) let q = p.stretched(by: 1.5, along: .unitY) XCTAssertEqual(q, Vector(1, 1.5)) let r = p.stretched(by: 1.5, along: -.unitY) XCTAssertEqual(r, Vector(1, 1.5)) let s = p.stretched(by: 1.5, along: .unitX) XCTAssertEqual(s, Vector(1.5, 1)) let t = p.stretched(by: 1.5, along: -.unitX) XCTAssertEqual(t, Vector(1.5, 1)) } func testStretchPath() { let p = Path.circle() let q = p.stretched(by: 1.5, along: .unitY) XCTAssert(q.isEqual(to: p.scaled(by: Vector(1, 1.5, 1)))) let r = p.stretched(by: 1.5, along: .unitX) XCTAssert(r.isEqual(to: p.scaled(by: Vector(1.5, 1, 1)))) } } ShapeScript-1.6.14/Euclid/Tests/TextTests.swift000066400000000000000000000026561450355336000214010ustar00rootroot00000000000000// // TextTests.swift // EuclidTests // // Created by Nick Lockwood on 12/03/2019. // Copyright © 2019 Nick Lockwood. All rights reserved. // #if canImport(CoreText) import CoreText @testable import Euclid import Foundation import XCTest class TextTests: XCTestCase { func testTextPaths() { let text = NSAttributedString(string: "Hello") let paths = Path.text(text) XCTAssertEqual(paths.count, 5) XCTAssertEqual(paths.map { $0.subpaths.count }, [ 1, 2, 1, 1, 2, ]) } func testTextMeshWithAttributedString() { let text = "Hello" let font = CTFontCreateWithName("Helvetica" as CFString, 12, nil) let attributes = [NSAttributedString.Key.font: font] let string = NSAttributedString(string: text, attributes: attributes) let mesh = Mesh.text(string, depth: 1.0) XCTAssertEqual(mesh.bounds.min.z, -0.5) XCTAssertEqual(mesh.bounds.max.z, 0.5) XCTAssert(mesh.bounds.max.x > 20) XCTAssert(mesh.polygons.count > 150) } func testTextMeshWithString() { let text = "Hello" let font = CTFontCreateWithName("Helvetica" as CFString, 12, nil) let mesh = Mesh.text(text, font: font, depth: 1.0) XCTAssertEqual(mesh.bounds.min.z, -0.5) XCTAssertEqual(mesh.bounds.max.z, 0.5) XCTAssert(mesh.bounds.max.x > 20) XCTAssert(mesh.polygons.count > 150) } } #endif ShapeScript-1.6.14/Euclid/Tests/TransformTests.swift000066400000000000000000000233021450355336000224170ustar00rootroot00000000000000// // TransformTests.swift // GeometryScriptTests // // Created by Nick Lockwood on 17/10/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest class TransformTests: XCTestCase { // MARK: Rotation func testAxisAngleRotation1() { let r = Rotation(unchecked: .unitZ, angle: .halfPi) let v = Vector(0, 0.5, 0) let u = v.rotated(by: r) XCTAssertEqual(u, Vector(0.5, 0, 0)) } func testAxisAngleRotation2() { let r = Rotation(unchecked: .unitZ, angle: .halfPi) let v = Vector(0.5, 0, 0) let u = v.rotated(by: r) XCTAssertEqual(u, Vector(0, -0.5, 0)) } func testAxisAngleRotation3() { let r = Rotation(unchecked: .unitZ, angle: .halfPi) let v = Vector(0, 0, 0.5) let u = v.rotated(by: r) XCTAssertEqual(u, Vector(0, 0, 0.5)) } func testPitchRotation() { let r = Rotation(pitch: .halfPi) XCTAssertEqual(r, .pitch(.halfPi)) XCTAssertEqual(r.pitch.radians, .pi / 2, accuracy: epsilon) XCTAssertEqual(r.roll, .zero) XCTAssertEqual(r.yaw, .zero) let v = Vector(0, 0.5, 0), u = Vector(0, 0, -0.5) XCTAssertEqual(v.rotated(by: r), u) } func testYawRotation() { let r = Rotation(yaw: .halfPi) XCTAssertEqual(r, .yaw(.halfPi)) XCTAssert(r.isEqual(to: Rotation(Quaternion(yaw: .halfPi)))) XCTAssertEqual(r.yaw, .halfPi) XCTAssertEqual(r.pitch, .zero) XCTAssertEqual(r.roll, .zero) let v = Vector(0.5, 0, 0), u = Vector(0, 0, 0.5) XCTAssertEqual(v.rotated(by: r), u) } func testRollRotation() { let r = Rotation(roll: .halfPi) XCTAssertEqual(r, .roll(.halfPi)) XCTAssertEqual(r.roll.radians, .pi / 2, accuracy: epsilon) XCTAssertEqual(r.pitch, .zero) XCTAssertEqual(r.yaw, .zero) let v = Vector(0, 0.5, 0), u = Vector(0.5, 0, 0) XCTAssertEqual(v.rotated(by: r), u) } func testRotationFromRollYawPitch() { let roll = Angle.radians(2.31) let yaw = Angle.radians(0.2) let pitch = Angle.radians(1.12) let r = Rotation(roll: roll, yaw: yaw, pitch: pitch) XCTAssertEqual(roll.radians, r.roll.radians, accuracy: epsilon) XCTAssertEqual(yaw.radians, r.yaw.radians, accuracy: epsilon) XCTAssertEqual(pitch.radians, r.pitch.radians, accuracy: epsilon) } func testRotationToQuaternion() { let roll = Angle.radians(2.31) let yaw = Angle.radians(0.2) let pitch = Angle.radians(1.12) let r = Rotation(roll: roll, yaw: yaw, pitch: pitch) let q = Quaternion(r) XCTAssertEqual(q.roll.radians, r.roll.radians, accuracy: 0.01) XCTAssertEqual(q.yaw.radians, r.yaw.radians, accuracy: 0.01) XCTAssertEqual(q.pitch.radians, r.pitch.radians, accuracy: 0.01) } func testRotationDoesntAffectNormalization() { let v = Vector( -0.9667550262674225, -0.13739397231926284, -0.21565624395553415 ) XCTAssert(v.isNormalized) let q = Quaternion( 0.681812047958374, -0.0165534820407629, -0.028187578544020653, 0.7307965755462646 ) XCTAssert(q.isNormalized) let u = v.rotated(by: q) XCTAssert(u.isNormalized) } // MARK: Rotation axis func testRotationIdentityAxis() { let r = Rotation.identity XCTAssertEqual(r.right, .unitX) XCTAssertEqual(r.up, .unitY) XCTAssertEqual(r.forward, .unitZ) } // MARK: Transform multiplication func testRotationMultipliedByTranslation() { let r = Rotation(roll: .zero, yaw: .pi / 4, pitch: .zero) let a = Transform(rotation: r) let b = Transform(offset: .unitX) let c = a * b XCTAssertEqual(c.offset, .unitX) XCTAssertEqual(c.rotation, r) } func testTranslationMultipliedByRotation() { let r = Rotation(roll: .zero, yaw: .pi / 4, pitch: .zero) let a = Transform(offset: .unitX) let b = Transform(rotation: r) let c = a * b XCTAssertEqual(c.offset, Vector(sqrt(2) / 2, 0, sqrt(2) / 2)) XCTAssertEqual(c.offset, a.offset.rotated(by: r)) XCTAssertEqual(c.rotation, r) } func testRotationMultipliedByScale() { let r = Rotation(roll: .zero, yaw: .pi / 4, pitch: .zero) let a = Transform(rotation: r) let b = Transform(scale: Vector(2, 1, 1)) let c = a * b XCTAssertEqual(c.scale, Vector(2, 1, 1)) // scale is unaffected by rotation XCTAssertEqual(c.rotation, r) } func testScaleMultipliedByRotation() { let r = Rotation(roll: .zero, yaw: .pi / 4, pitch: .zero) let a = Transform(scale: Vector(2, 1, 1)) let b = Transform(rotation: r) let c = a * b XCTAssertEqual(c.scale, Vector(2, 1, 1)) XCTAssertEqual(c.rotation, r) } func testTranslationMultipliedByScale() { let a = Transform(offset: .unitX) let b = Transform(scale: Vector(2, 1, 1)) let c = a * b XCTAssertEqual(c.offset, Vector(2, 0, 0)) XCTAssertEqual(c.scale, Vector(2, 1, 1)) } func testRotationMultipliedByDouble() { var r = Rotation(roll: .zero, yaw: .halfPi, pitch: .zero) XCTAssertEqual(r.angle.radians, .pi / 2, accuracy: epsilon) r /= 3 XCTAssertEqual(r.angle.radians, .pi / 6, accuracy: epsilon) r *= 2 XCTAssertEqual(r.angle.radians, .pi / 3, accuracy: epsilon) } // MARK: Vector transform func testTransformVector() { let v = Vector(1, 1, 1) let t = Transform( offset: Vector(0.5, 0, 0), rotation: .roll(.halfPi), scale: Vector(1, 0.1, 0.1) ) XCTAssertEqual(v.transformed(by: t), Vector(0.6, -1.0, 0.1)) } // MARK: Plane transforms func testTranslatePlane() { let normal = Vector(0.5, 1, 0.5).normalized() let position = Vector(10, 5, -3) let plane = Plane(unchecked: normal, pointOnPlane: position) let offset = Vector(12, 3, 4) let expected = Plane(unchecked: normal, pointOnPlane: position + offset) XCTAssert(plane.translated(by: offset).isEqual(to: expected)) } func testRotatePlane() { let normal = Vector(0.5, 1, 0.5).normalized() let position = Vector(10, 5, -3) let plane = Plane(unchecked: normal, pointOnPlane: position) let rotation = Rotation(axis: Vector(12, 3, 4), angle: .radians(0.2))! let rotatedNormal = normal.rotated(by: rotation) let rotatedPosition = position.rotated(by: rotation) let expected = Plane(unchecked: rotatedNormal, pointOnPlane: rotatedPosition) XCTAssert(plane.rotated(by: rotation).isEqual(to: expected)) } func testScalePlane() { let normal = Vector(0.5, 1, 0.5).normalized() let position = Vector(10, 5, -3) let plane = Plane(unchecked: normal, pointOnPlane: position) let scale = Vector(0.5, 3.0, 0.1) let expectedNormal = normal.scaled(by: Vector(1 / scale.x, 1 / scale.y, 1 / scale.z)).normalized() let expected = Plane(unchecked: expectedNormal, pointOnPlane: position.scaled(by: scale)) XCTAssert(plane.scaled(by: scale).isEqual(to: expected)) } func testScalePlaneUniformly() { let normal = Vector(0.5, 1, 0.5).normalized() let position = Vector(10, 5, -3) let plane = Plane(unchecked: normal, pointOnPlane: position) let scale = 0.5 let expected = Plane(unchecked: normal, pointOnPlane: position * scale) XCTAssert(plane.scaled(by: scale).isEqual(to: expected)) } func testTransformPlane() throws { let path = Path([ .point(1, 2, 3), .point(7, -2, 12), .point(-2, 7, 14), ]) let plane = try XCTUnwrap(path.plane) let transform = Transform( offset: Vector(-7, 3, 4.5), rotation: Rotation(axis: Vector(11, 3, -1), angle: .radians(1.3))!, scale: Vector(7, 2.0, 0.3) ) let expected = try XCTUnwrap(path.transformed(by: transform).plane) XCTAssert(plane.transformed(by: transform).isEqual(to: expected)) } // MARK: Path transforms func testPathScaleZero() { let path = Path([ .point(1, 2, 3), .point(7, -2, 12), .point(-2, 7, 14), ]) let zeroPath = path.scaled(by: .zero) XCTAssertFalse(zeroPath.edgeVertices.isEmpty) } // MARK: Mesh transforms func testBoundsNotPreservedWhenMeshRotated() { let mesh = Mesh.cube() let transform = Transform( offset: Vector(-7, 3, 4.5), rotation: Rotation(axis: Vector(11, 3, -1), angle: .radians(1.3))!, scale: Vector(7, 2.0, 0.3) ) XCTAssertNil(mesh.transformed(by: transform).boundsIfSet) } func testBoundsPreservedWhenTransformingMeshWithoutRotation() { let mesh = Mesh.cube() let transform = Transform( offset: Vector(-7, 3, 4.5), rotation: .identity, scale: Vector(7, 2.0, 0.3) ) XCTAssertNotNil(mesh.transformed(by: transform).boundsIfSet) } // MARK: Bounds transforms func testBoundsInvertedScale() { let bounds = Bounds(min: -.one, max: .one) let transform = Transform(scale: -.one) XCTAssertEqual(bounds.transformed(by: transform), bounds) } func testBoundsInvertedScale2() { let bounds = Bounds(min: -.one, max: .one) let transform = Transform(scale: -Vector(-1, 1, 1)) XCTAssertEqual(bounds.transformed(by: transform), bounds) } } ShapeScript-1.6.14/Euclid/Tests/UtilityTests.swift000066400000000000000000000206131450355336000221110ustar00rootroot00000000000000// // UtilityTests.swift // GeometryScriptTests // // Created by Nick Lockwood on 07/11/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest class UtilityTests: XCTestCase { // MARK: collinearity func testRightAngleNotCollinear() { let a = Vector(0, 1) let b = Vector(0, 0) let c = Vector(1, 0) XCTAssertFalse(pointsAreCollinear(a, b, c)) } func testVerticalPointsCollinear() { let a = Vector(0, 1) let b = Vector(0, 0) let c = Vector(0, -1) XCTAssert(pointsAreCollinear(a, b, c)) } func testHorizontalPointsCollinear() { let a = Vector(1, 0) let b = Vector(0, 0) let c = Vector(-1, 0) XCTAssert(pointsAreCollinear(a, b, c)) } func testOverlappingPointsCollinear() { let a = Vector(1, 0) let b = Vector(0, 0) let c = Vector(1, 0) XCTAssert(pointsAreCollinear(a, b, c)) } // MARK: convexness func testConvexnessResultNotAffectedByTranslation() { let vectors = [ Vector(-0.10606601717798211, 0, -0.10606601717798216), Vector(-0.0574025148547635, 0, -0.138581929876693), Vector(-0.15648794521398243, 0, -0.1188726123511085), Vector(-0.16970931752558446, 0, -0.09908543035921899), Vector(-0.16346853203274558, 0, -0.06771088298918408), ] XCTAssertTrue(pointsAreConvex(vectors)) let normal = Vector.unitY let offset = Vector(0, 0, 3) let vertices = vectors.map { Vertex($0, normal).translated(by: offset) } XCTAssertTrue(verticesAreConvex(vertices)) } func testCollinearPointsDontPreventConvexness() { let vectors = [ Vector(0, 1), Vector(0, 0), Vector(0, -1), Vector(1, -1), ] XCTAssertTrue(pointsAreConvex(vectors)) } // MARK: degeneracy func testDegenerateCollinearVertices() { let normal = Vector.unitZ let vertices = [ Vertex(Vector(0, 1), normal), Vertex(Vector(0, 0), normal), Vertex(Vector(0, -2), normal), ] XCTAssertTrue(verticesAreDegenerate(vertices)) } func testNonDegenerateCollinearVertices() { let normal = Vector.unitZ let vertices = [ Vertex(Vector(0, 1), normal), Vertex(Vector(0, 0), normal), Vertex(Vector(0, -2), normal), Vertex(Vector(1.5, -1), normal), ] XCTAssertFalse(verticesAreDegenerate(vertices)) } func testDegenerateVerticesWithZeroLengthEdge() { let normal = Vector.unitZ let vertices = [ Vertex(Vector(0, 1), normal), Vertex(Vector(0, -1), normal), Vertex(Vector(0, -1), normal), Vertex(Vector(1.5, 0), normal), ] XCTAssertTrue(verticesAreDegenerate(vertices)) } // MARK: path sanitization func testSanitizeInvalidClosedPath() { let points: [PathPoint] = [ .point(0, 1), .point(0, 0), .point(0, -1), .point(0, 1), ] let result = sanitizePoints(points) XCTAssertEqual(result.count, 3) XCTAssertEqual(result, [ .point(0, 1), .point(0, 0), .point(0, 1), ]) let result2 = sanitizePoints(result) XCTAssertEqual(result.count, result2.count) } func testRemoveZeroAreaCollinearPointRemoved() { let points: [PathPoint] = [ .point(0.18, 0.245), .point(0.18, 0.255), .point(0.17, 0.255), .point(0.16, 0.247), .point(0.16, 0.244), .point(0.16, 0.245), .point(0.18, 0.245), ] let result = sanitizePoints(points) XCTAssertEqual(result.count, 6) XCTAssertEqual(result, [ .point(0.18, 0.245), .point(0.18, 0.255), .point(0.17, 0.255), .point(0.16, 0.247), .point(0.16, 0.245), .point(0.18, 0.245), ]) } func testSanitizeValidClosedPath() { var points: [PathPoint] = [ .point(-0.0, 0.0025), .point(-0.002377641291, 0.000772542486), .point(-0.001469463131, -0.002022542486), .point(0.001469463131, -0.002022542486), .point(0.002377641291, 0.000772542486), .point(0.0, 0.0025), ] for _ in 0 ..< 5 { let result = sanitizePoints(points) XCTAssertEqual(result.count, points.count) XCTAssertEqual(result, points) points.scale(by: 0.5) } } func testSanitizeValidOpenPath() { let points: [PathPoint] = [ .point(0, 0.5), .point(-0.5, 0.5), .point(-0.5, -0.5), .point(0, -0.5), ] let result = sanitizePoints(points) XCTAssertEqual(result.count, points.count) XCTAssertEqual(result, points) } func testSantizeDuplicateCurvedPoint() { let points: [PathPoint] = [ .curve(0, 0.5), .curve(-0.5, 0.5), .curve(-0.5, 0.5), .curve(-0.5, -0.5), ] let expected = Array(points[...1] + points[3...]) let result = sanitizePoints(points) XCTAssertEqual(result.count, expected.count) XCTAssertEqual(result, expected) } func testSantizeDuplicatePoint() { let points: [PathPoint] = [ .point(0, 0.5), .point(-0.5, 0.5), .point(-0.5, 0.5), .point(-0.5, -0.5), ] let expected = Array(points[...1] + points[3...]) let result = sanitizePoints(points) XCTAssertEqual(result.count, expected.count) XCTAssertEqual(result, expected) } func testSantizeSharpCurvedDuplicatePoint() { let points: [PathPoint] = [ .point(0, 0.5), .point(-0.5, 0.5), .curve(-0.5, 0.5), .point(-0.5, -0.5), ] let expected = Array(points[...1] + points[3...]) let result = sanitizePoints(points) XCTAssertEqual(result.count, expected.count) XCTAssertEqual(result, expected) } func testSantizeCurvedSharpDuplicatePoint() { let points: [PathPoint] = [ .point(0, 0.5), .curve(-0.5, 0.5), .point(-0.5, 0.5), .point(-0.5, -0.5), ] let expected = Array(points[...0] + points[2...]) let result = sanitizePoints(points) XCTAssertEqual(result.count, expected.count) XCTAssertEqual(result, expected) } // MARK: lines func testVectorFromPointToLine() { let result = vectorFromPointToLine( Vector(2, 0), Vector(-1, -1), Vector(1, 0) ) XCTAssertEqual(result, -.unitY) } // MARK: faceNormalForPolygonPoints func testFaceNormalForZAxisLine() { let result = faceNormalForPolygonPoints( [.zero, .unitZ], convex: nil, closed: nil ) XCTAssertEqual(result, .unitY) } func testFaceNormalForVerticalLine() { let result = faceNormalForPolygonPoints( [.zero, .unitY], convex: nil, closed: nil ) XCTAssertEqual(result, .unitZ) } func testFaceNormalForHorizontalLine() { let result = faceNormalForPolygonPoints( [.zero, .unitX], convex: nil, closed: nil ) XCTAssertEqual(result, .unitZ) } // MARK: rotation func testRotationBetweenEqualVectors() { XCTAssertEqual(rotationBetweenVectors(.unitX, .unitX), .identity) XCTAssertEqual(rotationBetweenVectors(.unitY, .unitY), .identity) XCTAssertEqual(rotationBetweenVectors(.unitZ, .unitZ), .identity) XCTAssertEqual(rotationBetweenVectors(-.unitZ, -.unitZ), .identity) XCTAssertEqual(rotationBetweenVectors(Vector(1, 0.5), Vector(1, 0.5)), .identity) } func testRotationBetweenOppositeVectors() { XCTAssertEqual(rotationBetweenVectors(.unitX, -.unitX).angle, .pi) XCTAssertEqual(rotationBetweenVectors(.unitY, -.unitY).angle, .pi) XCTAssertEqual(rotationBetweenVectors(.unitZ, -.unitZ).angle, .pi) XCTAssertEqual(rotationBetweenVectors(-.unitZ, .unitZ).angle, .pi) XCTAssertEqual(rotationBetweenVectors(Vector(1, 0.5), -Vector(1, 0.5)).angle, .pi) } } ShapeScript-1.6.14/Euclid/Tests/VectorTests.swift000066400000000000000000000036321450355336000217120ustar00rootroot00000000000000// // VectorTests.swift // GeometryScriptTests // // Created by Nick Lockwood on 20/11/2019. // Copyright © 2018 Nick Lockwood. All rights reserved. // @testable import Euclid import XCTest class VectorTests: XCTestCase { // MARK: Vector length func testAxisAlignedLength() { let vector = Vector.unitX XCTAssertEqual(vector.length, 1) } func testAngledLength() { let vector = Vector(2, 5, 3) let length = (2.0 * 2.0 + 5.0 * 5.0 + 3.0 * 3.0).squareRoot() XCTAssertEqual(vector.length, length) } // MARK: Angle with vector func testRightAngle() { let vector1 = Vector.unitX let vector2 = Vector.unitY XCTAssertEqual(vector1.angle(with: vector2), .halfPi) } func testNonNormalizedAngle() { let vector1 = Vector(10, 0, 0) let vector2 = Vector(-10, 0, 0) XCTAssertEqual(vector1.angle(with: vector2), .pi) } // MARK: Angle with plane func testRightAngleWithPlane() { let vector1 = Vector.unitX let plane = Plane(unchecked: vector1, pointOnPlane: Vector.zero) XCTAssertEqual(vector1.angle(with: plane), .halfPi) } func testNonNormalizedAngleWithPlane() { let vector1 = Vector(7, 0, 0) let plane = Plane(normal: vector1, pointOnPlane: Vector.zero)! XCTAssertEqual(vector1.angle(with: plane), .halfPi) } // MARK: Distance from plane func testDistanceInFrontOfPlane() { let vector1 = Vector.unitX let vector2 = Vector(2, 1, -2) let plane = Plane(unchecked: vector1, pointOnPlane: Vector.zero) XCTAssertEqual(vector2.distance(from: plane), 2) } func testDistanceBehindPlane() { let vector1 = Vector.unitX let vector2 = Vector(-1.5, 2, 7) let plane = Plane(unchecked: vector1, pointOnPlane: Vector.zero) XCTAssertEqual(vector2.distance(from: plane), -1.5) } } ShapeScript-1.6.14/Examples/000077500000000000000000000000001450355336000156125ustar00rootroot00000000000000ShapeScript-1.6.14/Examples/Ball.shape000066400000000000000000000007011450355336000175040ustar00rootroot00000000000000// ShapeScript document detail 32 stencil { // ball sphere { color 1 1 0 } // stripe cube { color 0 0 1 size 1 1 0.4 } // star extrude { color 1 0 0 size 0.3 0.3 1 path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } } ShapeScript-1.6.14/Examples/Chessboard.shape000066400000000000000000000117341450355336000207170ustar00rootroot00000000000000// ShapeScript document detail 32 define white 1 0.8 define black 0.1 define boardEdge 0.25 define boardWhite 1 0.8 define boardBlack 0.25 // board color boardEdge union { translate 0 -0.1 difference { cube { size 8.8 0.2 8.8 } translate 0 0.1 0 cube { size 8 0.2 8 } } translate -3.5 0.025 -3.5 color boardWhite for 1 to 4 { for 1 to 4 { cube { size 0.95 0.15 0.95 } translate 1 0 0 color boardBlack cube { size 0.95 0.15 0.95 } translate -1 0 1 cube { size 0.95 0.15 0.95 } translate 1 0 0 color boardWhite cube { size 0.95 0.15 0.95 } translate -1 0 1 } translate 2 0 -8 } } // add a small gap between board and pieces to prevent z-fighting translate 0 0.01 // pawns translate 3.5 0 -2.5 color white for 1 to 2 { for 1 to 8 { union { lathe path { point 0 0.6 point -0.05 0.6 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point -0.25 0 point 0 0 } translate 0 0.6 sphere { size 0.25 } } translate -1 } translate 8 0 5 color black } // castles translate 0 0 -4 for 1 to 2 { color black for 1 to 2 { difference { lathe path { point 0 0.7 curve -0.15 0.7 point -0.15 0.8 point -0.2 0.8 point -0.2 0.8 point -0.2 0.7 point -0.15 0.6 curve -0.2 0.2 point -0.3 0.1 point -0.3 0 point -0.3 0 point 0 0 } translate 0 0.8 cube { size 0.4 0.1 0.1 } cube { size 0.1 0.1 0.4 } } translate 0 0 -7 color white } translate -7 0 14 } // knights translate 13 0 0 for 1 to 2 { color black for 1 to 2 { union { lathe path { point 0 0.6 point -0.2 0.3 curve -0.15 0.2 point -0.28 0.1 point -0.28 0 point 0 0 } translate 0.04 0.05 0 scale 0.9 0.9 0.2 extrude path { point 0 1 point -0.3 0.9 point -0.3 0.8 point -0.1 0.8 curve -0.32 0.5 point -0.2 0.3 point 0.13 0.3 curve 0.11 0.5 point 0.22 0.9 point 0 1 } } translate 0 0 -7 color white } translate -5 0 14 } // bishops translate 9 0 0 for 1 to 2 { color black for 1 to 2 { difference { lathe path { point 0 1 point -0.05 0.98 point -0.04 0.94 curve -0.14 0.8 point -0.09 0.65 point -0.09 0.65 point -0.2 0.6 point -0.2 0.58 point -0.1 0.58 curve -0.18 0.2 point -0.28 0.1 point -0.28 0 point -0.28 0 point 0 0 } translate -0.1 1 rotate -0.1 0 0 cube { size 0.03 0.5 0.5 } rotate 0 0 -0.1 } translate 0 0 -7 color white } translate -3 0 14 } // king translate 4 0 0 color black for 1 to 2 { union { lathe path { point 0 1.29 point -0.06 1.27 point -0.04 1.22 point -0.2 1.17 point -0.1 0.95 point -0.2 0.9 point -0.2 0.88 point -0.1 0.88 curve -0.2 0.25 point -0.35 0.1 point -0.35 0 point -0.35 0 point 0 0 } translate 0 1.35 cube { size 0.075 0.15 0.04 } cube { size 0.15 0.075 0.04 } } translate 0 0 -7 color white } // queen translate 1 0 14 color black for 1 to 2 { union { lathe path { point 0 1.19 point -0.06 1.17 point -0.04 1.12 point -0.15 1.07 point 0 0.9 } difference { lathe path { point -0 0.9 point -0.18 1.15 point -0.2 1.1 point -0.1 0.9 point -0.19 0.85 point -0.19 0.83 point -0.09 0.83 curve -0.19 0.2 point -0.32 0.1 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baselineIntegrationDisplayName 8 Aug 2021 at 21:01:20 testOverflowInsertionPerformance() com.apple.XCTPerformanceMetric_WallClockTime baselineAverage 0.012648 baselineIntegrationDisplayName 8 Aug 2021 at 21:01:20 testRemovalPerformance() com.apple.XCTPerformanceMetric_WallClockTime baselineAverage 0.0045635 baselineIntegrationDisplayName 8 Aug 2021 at 21:01:20 E747DDD0-AA84-4045-B195-EA52F7309ADE.plist000066400000000000000000000026751450355336000377740ustar00rootroot00000000000000ShapeScript-1.6.14/LRUCache/LRUCache.xcodeproj/xcshareddata/xcbaselines/016FAB3121BFE78100AF60DC.xcbaseline classNames LRUPerformanceTests testInsertionPerformance() com.apple.XCTPerformanceMetric_WallClockTime baselineAverage 0.011249 baselineIntegrationDisplayName 8 Aug 2021 at 21:02:13 testLookupPerformance() com.apple.XCTPerformanceMetric_WallClockTime baselineAverage 0.0078549 baselineIntegrationDisplayName 8 Aug 2021 at 21:02:13 testOverflowInsertionPerformance() com.apple.XCTPerformanceMetric_WallClockTime baselineAverage 0.014646 baselineIntegrationDisplayName 8 Aug 2021 at 21:02:13 testRemovalPerformance() com.apple.XCTPerformanceMetric_WallClockTime baselineAverage 0.0053817 baselineIntegrationDisplayName 8 Aug 2021 at 21:02:13 Info.plist000066400000000000000000000043601450355336000345760ustar00rootroot00000000000000ShapeScript-1.6.14/LRUCache/LRUCache.xcodeproj/xcshareddata/xcbaselines/016FAB3121BFE78100AF60DC.xcbaseline runDestinationsByUUID 161D8158-BED0-47AA-B7B7-479E4BF8141F localComputer busSpeedInMHz 0 cpuCount 1 cpuKind Apple M1 cpuSpeedInMHz 0 logicalCPUCoresPerPackage 8 modelCode MacBookPro17,1 physicalCPUCoresPerPackage 8 platformIdentifier com.apple.platform.macosx targetArchitecture arm64 targetDevice busSpeedInMHz 0 cpuCount 0 cpuKind cpuSpeedInMHz 0 logicalCPUCoresPerPackage 0 modelCode iPhone13,3 physicalCPUCoresPerPackage 0 platformIdentifier com.apple.platform.iphonesimulator E747DDD0-AA84-4045-B195-EA52F7309ADE localComputer busSpeedInMHz 0 cpuCount 1 cpuKind Apple M1 cpuSpeedInMHz 0 logicalCPUCoresPerPackage 8 modelCode MacBookPro17,1 physicalCPUCoresPerPackage 8 platformIdentifier com.apple.platform.macosx targetArchitecture arm64 targetDevice modelCode iPhone13,3 platformIdentifier com.apple.platform.iphonesimulator ShapeScript-1.6.14/LRUCache/LRUCache.xcodeproj/xcshareddata/xcschemes/000077500000000000000000000000001450355336000254215ustar00rootroot00000000000000ShapeScript-1.6.14/LRUCache/LRUCache.xcodeproj/xcshareddata/xcschemes/LRUCache.xcscheme000066400000000000000000000054461450355336000305410ustar00rootroot00000000000000 ShapeScript-1.6.14/LRUCache/Package.swift000066400000000000000000000005271450355336000200370ustar00rootroot00000000000000// swift-tools-version:5.1 import PackageDescription let package = Package( name: "LRUCache", products: [ .library(name: "LRUCache", targets: ["LRUCache"]), ], targets: [ .target(name: "LRUCache", path: "Sources"), .testTarget(name: "LRUCacheTests", dependencies: ["LRUCache"], path: "Tests"), ] ) ShapeScript-1.6.14/LRUCache/README.md000066400000000000000000000103501450355336000167000ustar00rootroot00000000000000[![Build](https://github.com/nicklockwood/LRUCache/actions/workflows/build.yml/badge.svg)](https://github.com/nicklockwood/LRUCache/actions/workflows/build.yml) [![Codecov](https://codecov.io/gh/nicklockwood/LRUCache/graphs/badge.svg)](https://codecov.io/gh/nicklockwood/LRUCache) [![Platforms](https://img.shields.io/badge/platforms-iOS%20|%20Mac%20|%20tvOS%20|%20watchOS%20|%20Linux-lightgray.svg)]() [![Swift 5.1](https://img.shields.io/badge/swift-5.1-red.svg?style=flat)](https://developer.apple.com/swift) [![License](https://img.shields.io/badge/license-MIT-lightgrey.svg)](https://opensource.org/licenses/MIT) [![Twitter](https://img.shields.io/badge/twitter-@nicklockwood-blue.svg)](http://twitter.com/nicklockwood) - [Introduction](#introduction) - [Installation](#installation) - [Usage](#usage) - [Concurrency](#concurrency) - [Performance](#performance) - [Credits](#credits) # Introduction **LRUCache** is an open-source replacement for [`NSCache`](https://developer.apple.com/library/mac/documentation/cocoa/reference/NSCache_Class/Reference/Reference.html) that behaves in a predictable, debuggable way. **LRUCache** is an LRU (Least-Recently-Used) cache, meaning that objects will be discarded oldest-first based on the last time they were accessed. **LRUCache** will automatically empty itself in the event of a memory warning. # Installation LRUCache is packaged as a dynamic framework that you can import into your Xcode project. You can install this manually, or by using Swift Package Manager. **Note:** LRUCache requires Xcode 10+ to build, and runs on iOS 10+ or macOS 10.12+. To install using Swift Package Manage, add this to the `dependencies:` section in your Package.swift file: ```swift .package(url: "https://github.com/nicklockwood/LRUCache.git", .upToNextMinor(from: "1.0.0")), ``` # Usage You can create an instance of **LRUCache** as follows: ```swift let cache = LRUCache() ``` This would create a cache of unlimited size, containing `Int` values keyed by `String`. To add a value to the cache, use: ```swift cache.setValue(99, forKey: "foo") ``` To fetch a cached value, use: ```swift let value = cache.value(forKey: "foo") // Returns nil if value not found ``` To fetch *all* the values stored in the cache, use: ```swift let values = cache.allValues // Ordered from oldest to newest ``` You can limit the cache size either by count or by *cost*. This can be done at initialization time: ```swift let cache = LRUCache(totalCostLimit: 1000, countLimit: 100) ``` Or after the cache has been created: ```swift cache.countLimit = 100 // Limit the cache to 100 elements cache.totalCostLimit = 1000 // Limit the cache to 1000 total cost ``` The cost is an arbitrary measure of size, defined by your application. For a file or data cache you might base cost on the size in bytes, or any metric you like. To specify the cost of a stored value, use the optional `cost` parameter: ```swift cache.setValue(data, forKey: "foo", cost: data.count) ``` Values will be removed from the cache automatically when either the count or cost limits are exceeded. You can also remove values explicitly by using: ```swift let value = cache.removeValue(forKey: "foo") ``` Or, if you don't need the value, by setting it to `nil`: ```swift cache.setValue(nil, forKey: "foo") ``` And you can remove all values at once with: ```swift cache.removeAllValues() ``` On iOS and tvOS, the cache will be emptied automatically in the event of a memory warning. # Concurrency **LRUCache** uses `NSLock` internally to ensure mutations are atomic. It is therefore safe to access a single cache instance concurrently from multiple threads. # Performance Reading, writing and removing entries from the cache are performed in constant time. When the cache is full, insertion time degrades slightly due to the need to remove elements each time a new value is inserted. This should still be constant-time, however adding a value with a large cost may cause multiple low-cost values to be evicted, which will take a time proportional to the number of values affected. # Credits The LRUCache framework is primarily the work of [Nick Lockwood](https://github.com/nicklockwood). ([Full list of contributors](https://github.com/nicklockwood/LRUCache/graphs/contributors)) ShapeScript-1.6.14/LRUCache/Sources/000077500000000000000000000000001450355336000170455ustar00rootroot00000000000000ShapeScript-1.6.14/LRUCache/Sources/Info.plist000066400000000000000000000015241450355336000210170ustar00rootroot00000000000000 CFBundleDevelopmentRegion $(DEVELOPMENT_LANGUAGE) CFBundleExecutable $(EXECUTABLE_NAME) CFBundleIdentifier $(PRODUCT_BUNDLE_IDENTIFIER) CFBundleInfoDictionaryVersion 6.0 CFBundleName $(PRODUCT_NAME) CFBundlePackageType FMWK CFBundleShortVersionString $(MARKETING_VERSION) CFBundleVersion $(CURRENT_PROJECT_VERSION) NSHumanReadableCopyright Copyright © 2021 Nick Lockwood. All rights reserved. ShapeScript-1.6.14/LRUCache/Sources/LRUCache.swift000066400000000000000000000152301450355336000215120ustar00rootroot00000000000000// // LRUCache.swift // LRUCache // // Version 1.0.2 // // Created by Nick Lockwood on 05/08/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/LRUCache // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. // import Foundation #if os(iOS) || os(tvOS) import UIKit /// Notification that cache should be cleared public let LRUCacheMemoryWarningNotification: NSNotification.Name = UIApplication.didReceiveMemoryWarningNotification #else /// Notification that cache should be cleared public let LRUCacheMemoryWarningNotification: NSNotification.Name = .init("LRUCacheMemoryWarningNotification") #endif public final class LRUCache { private var values: [Key: Container] = [:] private unowned(unsafe) var head: Container? private unowned(unsafe) var tail: Container? private let lock: NSLock = .init() private var token: AnyObject? private let notificationCenter: NotificationCenter /// The current total cost of values in the cache public private(set) var totalCost: Int = 0 /// The maximum total cost permitted public var totalCostLimit: Int { didSet { clean() } } /// The maximum number of values permitted public var countLimit: Int { didSet { clean() } } /// Initialize the cache with the specified `totalCostLimit` and `countLimit` public init( totalCostLimit: Int = .max, countLimit: Int = .max, notificationCenter: NotificationCenter = .default ) { self.totalCostLimit = totalCostLimit self.countLimit = countLimit self.notificationCenter = notificationCenter self.token = notificationCenter.addObserver( forName: LRUCacheMemoryWarningNotification, object: nil, queue: nil ) { [weak self] _ in self?.removeAllValues() } } deinit { if let token = token { notificationCenter.removeObserver(token) } } } public extension LRUCache { /// The number of values currently stored in the cache var count: Int { values.count } /// Is the cache empty? var isEmpty: Bool { values.isEmpty } /// Returns all values in the cache from oldest to newest var allValues: [Value] { lock.lock() defer { lock.unlock() } var values = [Value]() var next = head while let container = next { values.append(container.value) next = container.next } return values } /// Insert a value into the cache with optional `cost` func setValue(_ value: Value?, forKey key: Key, cost: Int = 0) { guard let value = value else { removeValue(forKey: key) return } lock.lock() if let container = values[key] { container.value = value totalCost -= container.cost container.cost = cost remove(container) append(container) } else { let container = Container( value: value, cost: cost, key: key ) values[key] = container append(container) } totalCost += cost lock.unlock() clean() } /// Remove a value from the cache and return it @discardableResult func removeValue(forKey key: Key) -> Value? { lock.lock() defer { lock.unlock() } guard let container = values.removeValue(forKey: key) else { return nil } remove(container) totalCost -= container.cost return container.value } /// Fetch a value from the cache func value(forKey key: Key) -> Value? { lock.lock() defer { lock.unlock() } if let container = values[key] { remove(container) append(container) return container.value } return nil } /// Remove all values from the cache func removeAllValues() { lock.lock() values.removeAll() head = nil tail = nil lock.unlock() } } private extension LRUCache { final class Container { var value: Value var cost: Int let key: Key unowned(unsafe) var prev: Container? unowned(unsafe) var next: Container? init(value: Value, cost: Int, key: Key) { self.value = value self.cost = cost self.key = key } } // Remove container from list (must be called inside lock) func remove(_ container: Container) { if head === container { head = container.next } if tail === container { tail = container.prev } container.next?.prev = container.prev container.prev?.next = container.next container.next = nil } // Append container to list (must be called inside lock) func append(_ container: Container) { assert(container.next == nil) if head == nil { head = container } container.prev = tail tail?.next = container tail = container } // Remove expired values (must be called outside lock) func clean() { lock.lock() defer { lock.unlock() } while totalCost > totalCostLimit || count > countLimit, let container = head { remove(container) values.removeValue(forKey: container.key) totalCost -= container.cost } } } ShapeScript-1.6.14/LRUCache/Tests/000077500000000000000000000000001450355336000165245ustar00rootroot00000000000000ShapeScript-1.6.14/LRUCache/Tests/Info.plist000066400000000000000000000012751450355336000205010ustar00rootroot00000000000000 CFBundleDevelopmentRegion $(DEVELOPMENT_LANGUAGE) CFBundleExecutable $(EXECUTABLE_NAME) CFBundleIdentifier $(PRODUCT_BUNDLE_IDENTIFIER) CFBundleInfoDictionaryVersion 6.0 CFBundleName $(PRODUCT_NAME) CFBundlePackageType BNDL CFBundleShortVersionString 1.0 CFBundleVersion 1 ShapeScript-1.6.14/LRUCache/Tests/LRUCacheTests.swift000066400000000000000000000121611450355336000222140ustar00rootroot00000000000000// // LRUCacheTests.swift // LRUCacheTests // // Created by Nick Lockwood on 05/08/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // import LRUCache import XCTest class LRUCacheTests: XCTestCase { func testCountLimit() { let cache = LRUCache(countLimit: 2) cache.setValue(0, forKey: 0) XCTAssertNotNil(cache.value(forKey: 0)) cache.setValue(1, forKey: 1) cache.setValue(2, forKey: 2) XCTAssertNil(cache.value(forKey: 0)) XCTAssertNotNil(cache.value(forKey: 1)) XCTAssertNotNil(cache.value(forKey: 2)) XCTAssertEqual(cache.count, 2) } func testCostLimit() { let cache = LRUCache(totalCostLimit: 3) cache.setValue(0, forKey: 0, cost: 1) cache.setValue(1, forKey: 1, cost: 1) XCTAssertEqual(cache.count, 2) XCTAssertEqual(cache.totalCost, 2) cache.setValue(2, forKey: 2, cost: 2) XCTAssertNil(cache.value(forKey: 0)) XCTAssertNotNil(cache.value(forKey: 1)) XCTAssertNotNil(cache.value(forKey: 2)) XCTAssertEqual(cache.count, 2) XCTAssertEqual(cache.totalCost, 3) } func testAdjustCountLimit() { let cache = LRUCache(totalCostLimit: 2) cache.setValue(0, forKey: 0, cost: 1) cache.setValue(1, forKey: 1, cost: 1) cache.countLimit = 1 XCTAssertNil(cache.value(forKey: 0)) XCTAssertEqual(cache.count, 1) } func testAdjustCostLimit() { let cache = LRUCache(totalCostLimit: 3) cache.setValue(0, forKey: 0, cost: 1) cache.setValue(1, forKey: 1, cost: 1) cache.setValue(2, forKey: 2, cost: 1) cache.totalCostLimit = 2 XCTAssertNil(cache.value(forKey: 0)) XCTAssertEqual(cache.count, 2) cache.totalCostLimit = 0 XCTAssert(cache.isEmpty) } func testRemoveValue() { let cache = LRUCache(totalCostLimit: 2) cache.setValue(0, forKey: 0) cache.setValue(1, forKey: 1) XCTAssertEqual(cache.removeValue(forKey: 0), 0) XCTAssertEqual(cache.count, 1) XCTAssertNil(cache.removeValue(forKey: 0)) cache.setValue(nil, forKey: 1) XCTAssert(cache.isEmpty) } func testRemoveAllValues() { let cache = LRUCache(totalCostLimit: 2) cache.setValue(0, forKey: 0) cache.setValue(1, forKey: 1) cache.removeAllValues() XCTAssert(cache.isEmpty) cache.setValue(0, forKey: 0) XCTAssertEqual(cache.count, 1) } func testAllValues() { let cache = LRUCache(totalCostLimit: 2) cache.setValue(0, forKey: 0) cache.setValue(1, forKey: 1) XCTAssertEqual(cache.allValues, [0, 1]) cache.setValue(0, forKey: 0) XCTAssertEqual(cache.allValues, [1, 0]) cache.removeAllValues() XCTAssert(cache.allValues.isEmpty) } func testReplaceValue() { let cache = LRUCache() cache.setValue(0, forKey: 0, cost: 5) XCTAssertEqual(cache.value(forKey: 0), 0) XCTAssertEqual(cache.totalCost, 5) cache.setValue(1, forKey: 0, cost: 3) XCTAssertEqual(cache.value(forKey: 0), 1) XCTAssertEqual(cache.totalCost, 3) cache.setValue(2, forKey: 0, cost: 7) XCTAssertEqual(cache.value(forKey: 0), 2) XCTAssertEqual(cache.totalCost, 7) } func testMemoryWarning() { let cache = LRUCache() for i in 0 ..< 100 { cache.setValue(i, forKey: i) } XCTAssertEqual(cache.count, 100) NotificationCenter.default.post( name: LRUCacheMemoryWarningNotification, object: nil ) XCTAssert(cache.isEmpty) } func testNotificationObserverIsRemoved() { final class TestNotificationCenter: NotificationCenter { private(set) var observersCount = 0 override func addObserver( forName name: NSNotification.Name?, object obj: Any?, queue: OperationQueue?, using block: @escaping (Notification) -> Void ) -> NSObjectProtocol { defer { observersCount += 1 } return super.addObserver( forName: name, object: obj, queue: queue, using: block ) } override func removeObserver(_ observer: Any) { super.removeObserver(observer) observersCount -= 1 } } let notificationCenter = TestNotificationCenter() var cache: LRUCache? = .init(notificationCenter: notificationCenter) weak var weakCache = cache XCTAssertEqual(1, notificationCenter.observersCount) cache = nil XCTAssertNil(weakCache) XCTAssertEqual(0, notificationCenter.observersCount) } func testNoStackOverflowForlargeCache() { let cache = LRUCache() for i in 0 ..< 100000 { cache.setValue(i, forKey: i) } } } ShapeScript-1.6.14/LRUCache/Tests/LRUPerformanceTests.swift000066400000000000000000000024431450355336000234540ustar00rootroot00000000000000// // LRUPerformanceTests.swift // LRUCacheTests // // Created by Nick Lockwood on 05/08/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // import LRUCache import XCTest class LRUPerformanceTests: XCTestCase { let iterations = 10000 func testInsertionPerformance() { measure { let cache = LRUCache() for i in 0 ..< iterations { cache.setValue(i, forKey: i) } } } func testLookupPerformance() { let cache = LRUCache() for i in 0 ..< iterations { cache.setValue(i, forKey: i) } measure { for i in 0 ..< iterations { _ = cache.value(forKey: i) } } } func testRemovalPerformance() { let cache = LRUCache() for i in 0 ..< iterations { cache.setValue(i, forKey: i) } measure { for i in 0 ..< iterations { _ = cache.removeValue(forKey: i) } } } func testOverflowInsertionPerformance() { measure { let cache = LRUCache(countLimit: 1000) for i in 0 ..< iterations { cache.setValue(i, forKey: i) } } } } ShapeScript-1.6.14/Package.swift000066400000000000000000000023131450355336000164440ustar00rootroot00000000000000// swift-tools-version:5.1 import PackageDescription let package = Package( name: "ShapeScript", platforms: [ .macOS(.v10_14), .iOS(.v11), .tvOS(.v11), ], products: [ .library(name: "ShapeScript", targets: ["ShapeScript"]), .executable(name: "shapescript", targets: ["CLI"]), ], dependencies: [ .package( url: "https://github.com/nicklockwood/Euclid.git", .upToNextMinor(from: "0.6.18") ), .package( url: "https://github.com/nicklockwood/LRUCache.git", .upToNextMinor(from: "1.0.4") ), .package( url: "https://github.com/nicklockwood/SVGPath.git", .upToNextMinor(from: "1.1.3") ), ], targets: [ .target( name: "ShapeScript", dependencies: ["Euclid", "LRUCache", "SVGPath"], path: "ShapeScript" ), .target( name: "CLI", dependencies: ["ShapeScript"], path: "Viewer/CLI" ), .testTarget( name: "ShapeScriptTests", dependencies: ["ShapeScript"], path: "ShapeScriptTests" ), ] ) ShapeScript-1.6.14/README.md000066400000000000000000000131111450355336000153100ustar00rootroot00000000000000[![Build](https://github.com/nicklockwood/ShapeScript/actions/workflows/build.yml/badge.svg)](https://github.com/nicklockwood/ShapeScript/actions/workflows/build.yml) [![Codecov](https://codecov.io/gh/nicklockwood/ShapeScript/graphs/badge.svg)](https://codecov.io/gh/nicklockwood/ShapeScript) [![Platforms](https://img.shields.io/badge/platforms-iOS%20|%20Mac%20|%20Linux-lightgray.svg)]() [![Swift 5.1](https://img.shields.io/badge/swift-5.1-red.svg?style=flat)](https://developer.apple.com/swift) [![License](https://img.shields.io/badge/license-MIT-lightgrey.svg)](https://opensource.org/licenses/MIT) [![Mastodon](https://img.shields.io/badge/mastodon-@nicklockwood@mastodon.social-636dff.svg)](https://mastodon.social/@nicklockwood) ![Screenshot](images/Screenshot.jpg?raw=true) - [Introduction](#introduction) - [Installation](#installation) - [Usage (Mac)](#usage-mac) - [Usage (Linux)](#usage-linux) - [Contributing](#contributing) - [Credits](#credits) # Introduction ShapeScript is a hybrid scripting/markup language for creating and manipulating 3D geometry using techniques such as extruding or "lathing" 2D paths to create solid 3D shapes, and CSG (Constructive Solid Geometry) to combine or subtract those shapes from one another. ShapeScript is also the scripting language used for the ShapeScript [Mac](https://apps.apple.com/app/id1441135869) and [iOS](https://apps.apple.com/app/id1606439346) apps. ShapeScript is implemented on top of [Euclid](https://github.com/nicklockwood/Euclid), a cross-platform 3D modeling library written in Swift. Anything you can construct using ShapeScript can be replicated programmatically in Swift using Euclid. If you would like to support the development of Euclid and the ShapeScript language, please consider buying a copy of ShapeScript for Mac or iOS (the apps themselves are free, but there is an in-app purchase to unlock some features). [Mac App Store](https://apps.apple.com/app/id1441135869) [App Store](https://apps.apple.com/app/id1606439346) # Installation ShapeScript is packaged as a Swift framework, which itself depends on the [Euclid](https://github.com/nicklockwood/Euclid) framework, a copy of which is included in this repository. To install the ShapeScript framework using CocoaPods, add the following to your Podfile: ```ruby pod 'ShapeScript', '~> 1.6' ``` To install using Carthage, add this to your Cartfile: ```ogdl github "nicklockwood/ShapeScript" ~> 1.6 ``` To install using Swift Package Manager, add this to the `dependencies:` section in your Package.swift file: ```swift .package(url: "https://github.com/nicklockwood/ShapeScript.git", .upToNextMinor(from: "1.6.0")), ``` The repository also includes ShapeScript Viewer apps for iOS and macOS, a cut-down version of the full ShapeScript apps available on the [Mac](https://apps.apple.com/app/id1441135869) and [iOS](https://apps.apple.com/app/id1606439346) app stores. It is not currently possible to install or run these apps using CocoaPods, Carthage or Swift Package Manager but you can run them by opening the included Xcode project and selecting the `Viewer (Mac)` or `Viewer (iOS)` schemes. For Linux, see [usage instructions](#usage-linux) below. **Note:** ShapeScript Viewer requires Xcode 11+ to build, and runs on macOS 10.13+ or iOS 14+. # Usage (Mac) The best way to try out ShapeScript is to run the ShapeScript Viewer app (see above). Once you have opened the app, you can create a new ShapeScript document from the File menu, or open one of the example projects from the Help menu. ShapeScript does not include a built-in editor. Instead, after opening a shape file in the ShapeScript Viewer, you can select Open in Editor (Cmd-E) from the Edit menu to open the source file in a text editor of your choice. The ShapeScript Viewer will track changes to the source file and update in real-time as you edit it. For more information, check out the [help section](docs/index.md). # Usage (Linux) ShapeScript provides a command-line interface for Linux machines. You can download the latest CLI build from the [releases page](https://github.com/nicklockwood/ShapeScript/releases). You can also install or run the ShapeScript CLI using [Mint](https://github.com/yonaskolb/Mint). If Mint is installed, you can run ShapeScript using: ```bash $ mint run nicklockwood/ShapeScript@main ``` Alternatively, to build the tool yourself from source, you will need to install the [latest Swift toolchain](https://www.swift.org/download/), then run the following commands: ```bash $ git clone https://github.com/nicklockwood/ShapeScript $ cd ShapeScript $ swift build -c release ``` Like the GUI app, the ShapeScript CLI does not include an editor. Use a text editor of your choice to create your `.shape` file, then pass it to the CLI as follows: ```bash shapescript myfile.shape ``` This will run the file and report any errors. On success, it will print some info about the model. To export the model, add a second parameter with the path you'd like to export an STL (Stereolithography) file to: ```bash shapescript myfile.shape myfile.stl ``` # Contributing Feel free to open an issue in Github if you have questions about how to use the library, or think you may have found a bug. If you wish to contribute improvements to the documentation or the code itself, that's great! But please read the [CONTRIBUTING.md](CONTRIBUTING.md) file before submitting a pull request. # Credits The ShapeScript framework and apps are primarily the work of [Nick Lockwood](https://github.com/nicklockwood). ShapeScript-1.6.14/SVGPath/000077500000000000000000000000001450355336000153105ustar00rootroot00000000000000ShapeScript-1.6.14/SVGPath/.gitignore000066400000000000000000000003531450355336000173010ustar00rootroot00000000000000# OS X .DS_Store # Xcode build/ html/ .build *.pbxuser !default.pbxuser *.mode1v3 !default.mode1v3 *.mode2v3 !default.mode2v3 *.perspectivev3 !default.perspectivev3 xcuserdata *.xccheckout *.moved-aside DerivedData *.hmap *.ipa *.dot ShapeScript-1.6.14/SVGPath/.swift-version000077500000000000000000000000031450355336000201240ustar00rootroot000000000000005.1ShapeScript-1.6.14/SVGPath/.swiftformat000066400000000000000000000003041450355336000176530ustar00rootroot00000000000000--hexgrouping ignore --decimalgrouping ignore --enable isEmpty --ifdef no-indent --self init-only --wraparguments before-first --wrapcollections before-first --maxwidth 80 --exclude Package.swiftShapeScript-1.6.14/SVGPath/CHANGELOG.md000077500000000000000000000025741450355336000171340ustar00rootroot00000000000000## [1.1.3](https://github.com/nicklockwood/LRUCache/releases/tag/1.1.3) (2023-03-17) - Fixed bug with parsing paths that use a leading `+` as a delimiter between numbers ## [1.1.2](https://github.com/nicklockwood/LRUCache/releases/tag/1.1.2) (2023-03-08) - Fixed bug where relative coordinates were calculated incorrectly after an `end` command ## [1.1.1](https://github.com/nicklockwood/LRUCache/releases/tag/1.1.1) (2022-07-27) - Fixed bug where coordinates were flipped vertically when serializing path to string ## [1.1.0](https://github.com/nicklockwood/LRUCache/releases/tag/1.1.0) (2022-07-24) - Added `SVGPath(cgPath:)` initializer for converting `CGPath` to `SVGPath` - Added `SVGPath.string(with:)` method for serializing an `SVGPath` object back to string form - Added `SVGPath.points()` and `SVGPath.getPoints()` methods for extracting path data - Fixed compiler warning on older Xcode versions - Fixed warnings on latest Xcode ## [1.0.2](https://github.com/nicklockwood/LRUCache/releases/tag/1.0.2) (2022-04-15) - Added `SVGArc.asBezierPath()` method for converting arcs to Bezier curves without Core Graphics ## [1.0.1](https://github.com/nicklockwood/LRUCache/releases/tag/1.0.1) (2022-04-04) - Fixed parsing scientific numbers - Added support for implicit `lineTo` commands ## [1.0.0](https://github.com/nicklockwood/LRUCache/releases/tag/1.0.0) (2022-01-08) - First release ShapeScript-1.6.14/SVGPath/LICENSE.md000077500000000000000000000020561450355336000167220ustar00rootroot00000000000000MIT License Copyright (c) 2021 Nick Lockwood Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. ShapeScript-1.6.14/SVGPath/Package.swift000066400000000000000000000005211450355336000177170ustar00rootroot00000000000000// swift-tools-version:5.1 import PackageDescription let package = Package( name: "SVGPath", products: [ .library(name: "SVGPath", targets: ["SVGPath"]), ], targets: [ .target(name: "SVGPath", path: "Sources"), .testTarget(name: "SVGPathTests", dependencies: ["SVGPath"], path: "Tests"), ] ) ShapeScript-1.6.14/SVGPath/README.md000066400000000000000000000077521450355336000166020ustar00rootroot00000000000000[![Build](https://github.com/nicklockwood/SVGPath/actions/workflows/build.yml/badge.svg)](https://github.com/nicklockwood/SVGPath/actions/workflows/build.yml) [![Codecov](https://codecov.io/gh/nicklockwood/SVGPath/graphs/badge.svg)](https://codecov.io/gh/nicklockwood/SVGPath) [![Platforms](https://img.shields.io/badge/platforms-iOS%20|%20Mac%20|%20tvOS%20|%20Linux-lightgray.svg)]() [![Swift 5.1](https://img.shields.io/badge/swift-5.1-red.svg?style=flat)](https://developer.apple.com/swift) [![License](https://img.shields.io/badge/license-MIT-lightgrey.svg)](https://opensource.org/licenses/MIT) [![Mastodon](https://img.shields.io/badge/mastodon-@nicklockwood@mastodon.social-636dff.svg)](https://mastodon.social/@nicklockwood) - [Introduction](#introduction) - [Installation](#installation) - [Usage](#usage) - [Advanced Usage](#advanced-usage) - [Credits](#credits) # Introduction **SVGPath** is an open-source parser for the SVG path syntax, making it easy to create `CGPaths` from this popular format. SVGPath runs on all Apple platforms, and also Linux (although Linux does not support the CoreGraphics API, so if you need to draw the path you will need to provide your own implementation). # Installation SVGPath is packaged as a dynamic framework that you can import into your Xcode project. You can install this manually, or by using Swift Package Manager. **Note:** SVGPath requires Xcode 10+ to build, and runs on iOS 10+ or macOS 10.12+. To install using Swift Package Manage, add this to the `dependencies:` section in your Package.swift file: ```swift .package(url: "https://github.com/nicklockwood/SVGPath.git", .upToNextMinor(from: "1.0.0")), ``` # Usage You can create an instance of **SVGPath** as follows: ```swift let svgPath = try SVGPath(string: "M150 0 L75 200 L225 200 Z") ``` Notice that the SVGPath constructor is a *throwing* function. It will throw an `SVGError` if the supplied string is invalid or malformed . Once you have created an `SVGPath` object, in most cases you'll want to convert this to a `CGPath` for rendering on Apple platforms. To do that you can use: ```swift let cgPath = CGPath.from(svgPath: svgPath) ``` As a shortcut, you can create the `CGPath` directly from an SVG path string: ```swift let cgPath = try CGPath.from(svgPath: "M150 0 L75 200 L225 200 Z") ``` Once you have a `CGPath` you can render it on iOS or macOS using a CoreGraphics context or a `CAShapeLayer`. # Advanced Usage You can convert a `CGPath` to an `SVGPath` using the `init(cgPath:)` initializer: ```swift let rect = CGRect(x: 0, y: 0, width: 10, height: 10) let cgPath = CGPath(rect: rect, transform: nil) let svgPath = SVGPath(cgPath: cgPath) ``` To convert an `SVGPath` back into a `String`, use the `string(with:)` method. This can be useful for exporting a `CGPath` as an SVG string: ```swift let svgPath = SVGPath(cgPath: ...) let options = SVGPath.WriteOptions(prettyPrinted: true, wrapWidth: 80) let string = svgPath.string(with: options) ``` It's also possible to use `SVGPath` without CoreGraphics. You can iterate over the raw path components using the `commands` property: ```swift for command in svgPath.commands { switch command { case .moveTo(let point): ... case .lineTo(let point): ... default: ... } } ``` Alternatively, you can use the `points()` or `getPoints()` methods to convert the entire path to a flar array of points at your preferred level of detail. These can be used to render the path using simple straight line segments using any graphics API you choose: ```swift let detail = 10 // number of sample points used to represent curved segments let points = svgPath.points(withDetail: detail) ``` **NOTE:** coordinates are stored with inverted Y coordinates internally, to match the coordinate system used by Core Graphics on macOS/iOS. # Credits The SVGPath library is primarily the work of [Nick Lockwood](https://github.com/nicklockwood). 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All rights reserved. ShapeScript-1.6.14/SVGPath/Sources/SVGPath+CoreGraphics.swift000066400000000000000000000111131450355336000236270ustar00rootroot00000000000000// // SVGPath+CoreGraphics.swift // SVGPath // // Created by Nick Lockwood on 08/01/2022. // Copyright © 2021 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/SVGPath // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to // deal in the Software without restriction, including without limitation the // rights to use, copy, modify, merge, publish, distribute, sublicense, and/or // sell copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in // all copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS // IN THE SOFTWARE. // #if canImport(CoreGraphics) import CoreGraphics import Foundation // MARK: SVGPath to CGPath public extension CGPath { static func from(svgPath: String) throws -> CGPath { try from(svgPath: SVGPath(string: svgPath)) } static func from(svgPath: SVGPath) -> CGPath { let path = CGMutablePath() path.move(to: .zero) svgPath.commands.forEach(path.addCommand) return path } } public extension CGPoint { init(_ svgPoint: SVGPoint) { self.init(x: svgPoint.x, y: svgPoint.y) } } private extension CGMutablePath { func addCommand(_ command: SVGCommand) { switch command { case let .moveTo(point): move(to: CGPoint(point)) case let .lineTo(point): addLine(to: CGPoint(point)) case let .quadratic(control, point): addQuadCurve( to: CGPoint(point), control: CGPoint(control) ) case let .cubic(control1, control2, point): addCurve( to: CGPoint(point), control1: CGPoint(control1), control2: CGPoint(control2) ) case let .arc(arc): arc.asBezierPath(from: SVGPoint(currentPoint)).forEach(addCommand) case .end: closeSubpath() } } } // MARK: CGPath to SVGPath public extension SVGPath { init(cgPath: CGPath) { var commands = [SVGCommand]() cgPath.enumerate { let command: SVGCommand switch $0.type { case .moveToPoint: command = .moveTo(SVGPoint($0.points[0])) case .closeSubpath: command = .end case .addLineToPoint: command = .lineTo(SVGPoint($0.points[0])) case .addQuadCurveToPoint: let p1 = $0.points[0], p2 = $0.points[1] command = .quadratic(SVGPoint(p1), SVGPoint(p2)) case .addCurveToPoint: let p1 = $0.points[0], p2 = $0.points[1], p3 = $0.points[2] command = .cubic(SVGPoint(p1), SVGPoint(p2), SVGPoint(p3)) @unknown default: return } commands.append(command) } self.init(commands: commands) } } public extension SVGPoint { init(_ cgPoint: CGPoint) { self.init(x: Double(cgPoint.x), y: Double(cgPoint.y)) } } extension CGPath { func enumerate(_ fn: @convention(block) (CGPathElement) -> Void) { if #available(iOS 11.0, tvOS 11.0, OSX 10.13, *) { applyWithBlock { fn($0.pointee) } return } // Fallback for earlier OSes typealias Block = @convention(block) (CGPathElement) -> Void let callback: @convention(c) ( UnsafeMutableRawPointer, UnsafePointer ) -> Void = { info, element in unsafeBitCast(info, to: Block.self)(element.pointee) } withoutActuallyEscaping(fn) { block in let block = unsafeBitCast(block, to: UnsafeMutableRawPointer.self) self.apply(info: block, function: unsafeBitCast( callback, to: CGPathApplierFunction.self )) } } } #endif ShapeScript-1.6.14/SVGPath/Sources/SVGPath.swift000066400000000000000000000453501450355336000212740ustar00rootroot00000000000000// // SVGPath.swift // SVGPath // // Created by Nick Lockwood on 27/09/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // // Distributed under the permissive MIT license // Get the latest version from here: // // https://github.com/nicklockwood/SVGPath // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to // deal in the Software without restriction, including without limitation the // rights to use, copy, modify, merge, publish, distribute, sublicense, and/or // sell copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in // all copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS // IN THE SOFTWARE. // import Foundation public struct SVGPath: Hashable { public var commands: [SVGCommand] public init(commands: [SVGCommand]) { self.commands = commands } public init(string: String) throws { var token: UnicodeScalar = " " var commands = [SVGCommand]() var numbers = ArraySlice() var number = "" var isRelative = false func assertArgs(_ count: Int) throws -> [Double] { if numbers.count < count { throw SVGError .missingArgument(for: String(token), expected: count) } else if !numbers.count.isMultiple(of: count) { throw SVGError .unexpectedArgument(for: String(token), expected: count) } defer { numbers.removeFirst(count) } return Array(numbers.prefix(count)) } func moveTo() throws -> SVGCommand { let numbers = try assertArgs(2) return .moveTo(SVGPoint(x: numbers[0], y: -numbers[1])) } func lineTo() throws -> SVGCommand { let numbers = try assertArgs(2) return .lineTo(SVGPoint(x: numbers[0], y: -numbers[1])) } func lineToVertical() throws -> SVGCommand { let numbers = try assertArgs(1) return .lineTo(SVGPoint( x: isRelative ? 0 : commands.lastPoint.x, y: -numbers[0] )) } func lineToHorizontal() throws -> SVGCommand { let numbers = try assertArgs(1) return .lineTo(SVGPoint( x: numbers[0], y: isRelative ? 0 : commands.lastPoint.y )) } func quadCurve() throws -> SVGCommand { let numbers = try assertArgs(4) return .quadratic( SVGPoint(x: numbers[0], y: -numbers[1]), SVGPoint(x: numbers[2], y: -numbers[3]) ) } func quadTo() throws -> SVGCommand { let numbers = try assertArgs(2) var lastControl = commands.last?.control1 ?? .zero let lastPoint = commands.last?.point ?? .zero if case .quadratic? = commands.last {} else { lastControl = lastPoint } var control = lastPoint - lastControl if !isRelative { control = control + lastPoint } return .quadratic(control, SVGPoint(x: numbers[0], y: -numbers[1])) } func cubicCurve() throws -> SVGCommand { let numbers = try assertArgs(6) return .cubic( SVGPoint(x: numbers[0], y: -numbers[1]), SVGPoint(x: numbers[2], y: -numbers[3]), SVGPoint(x: numbers[4], y: -numbers[5]) ) } func cubicTo() throws -> SVGCommand { let numbers = try assertArgs(4) var lastControl = commands.last?.control2 ?? .zero let lastPoint = commands.last?.point ?? .zero if case .cubic? = commands.last {} else { lastControl = lastPoint } var control = lastPoint - lastControl if !isRelative { control = control + lastPoint } return .cubic( control, SVGPoint(x: numbers[0], y: -numbers[1]), SVGPoint(x: numbers[2], y: -numbers[3]) ) } func arc() throws -> SVGCommand { let numbers = try assertArgs(7) return .arc(SVGArc( radius: SVGPoint(x: numbers[0], y: numbers[1]), rotation: numbers[2] * .pi / 180, largeArc: numbers[3] != 0, sweep: numbers[4] != 0, end: SVGPoint(x: numbers[5], y: -numbers[6]) )) } func end() throws -> SVGCommand { _ = try assertArgs(0) return .end } func processNumber() throws { if number.isEmpty { return } if let double = Double(number) { numbers.append(double) number = "" return } throw SVGError.unexpectedToken(number) } func appendCommand(_ command: SVGCommand) { commands.append( isRelative ? command.relative(to: commands.lastPoint) : command ) } func processCommand() throws { let command: SVGCommand switch token { case "m", "M": command = try moveTo() if !numbers.isEmpty { appendCommand(command) token = UnicodeScalar(token.value - 1)! return try processCommand() } case "l", "L": command = try lineTo() case "v", "V": command = try lineToVertical() case "h", "H": command = try lineToHorizontal() case "q", "Q": command = try quadCurve() case "t", "T": command = try quadTo() case "c", "C": command = try cubicCurve() case "s", "S": command = try cubicTo() case "a", "A": command = try arc() case "z", "Z": command = try end() case " ": return default: throw SVGError.unexpectedToken(String(token)) } appendCommand(command) if !numbers.isEmpty { try processCommand() } } for char in string.unicodeScalars { switch char { case "0" ... "9", "E", "e": number.append(Character(char)) case ".": if number.contains(".") { try processNumber() } number.append(".") case "-", "+": if let last = number.last, !"eE".contains(last) { try processNumber() } number.append(Character(char)) case "a" ... "z", "A" ... "Z": try processNumber() try processCommand() token = char isRelative = char > "Z" case " ", "\r", "\n", "\t", ",": try processNumber() default: throw SVGError.unexpectedToken(String(char)) } } try processNumber() try processCommand() self.commands = commands } } public extension SVGPath { func getPoints(_ points: inout [SVGPoint], detail: Int) { for command in commands { command.getPoints(&points, detail: detail) } } func points(withDetail detail: Int) -> [SVGPoint] { var points = [SVGPoint]() getPoints(&points, detail: detail) return points } struct WriteOptions { public static let `default` = Self() public var prettyPrinted: Bool public var wrapWidth: Int public init(prettyPrinted: Bool = true, wrapWidth: Int = .max) { self.prettyPrinted = prettyPrinted self.wrapWidth = wrapWidth } } func string(with options: WriteOptions) -> String { var output = "" var width = 0 func append(_ string: String) { let spaced = width > 0 && ( options.prettyPrinted || (string.first?.isDigit ?? false) && (output.last?.isDigit ?? false) ) let w = string.count if width + w + (spaced ? 1 : 0) > options.wrapWidth { output += "\n" width = 0 } else if spaced { output += " " width += 1 } output += string width += w } func append(_ cmd: String, _ numbers: Double...) { append("\(cmd)\(String(format: "%g", numbers[0]))") numbers.dropFirst().forEach { append(String(format: "%g", $0)) } } for command in commands { switch command { case let .moveTo(point): append("M", point.x, -point.y) case let .lineTo(point): append("L", point.x, -point.y) case let .cubic(c1, c2, point): append("C", c1.x, -c1.y, c2.x, -c2.y, point.x, -point.y) case let .quadratic(control, point): append("Q", control.x, -control.y, point.x, -point.y) case let .arc(arc): let rad = arc.radius, end = arc.end let rot = arc.rotation / .pi * 180 let large = arc.largeArc ? 1.0 : 0 let sweep = arc.sweep ? 1.0 : 0 append("A", rad.x, rad.y, rot, large, sweep, end.x, -end.y) case .end: append("Z") } } return output } } private extension Character { var isDigit: Bool { isASCII && isWholeNumber } } private extension Array where Element == SVGCommand { var lastPoint: SVGPoint { for command in reversed() { if let point = command.point { return point } } return .zero } } public enum SVGError: Error, Hashable { case unexpectedToken(String) case unexpectedArgument(for: String, expected: Int) case missingArgument(for: String, expected: Int) public var message: String { switch self { case let .unexpectedToken(string): return "Unexpected token '\(string)'" case let .unexpectedArgument(command, _): return "Too many arguments for '\(command)'" case let .missingArgument(command, _): return "Missing argument for '\(command)'" } } } public enum SVGCommand: Hashable { case moveTo(SVGPoint) case lineTo(SVGPoint) case cubic(SVGPoint, SVGPoint, SVGPoint) case quadratic(SVGPoint, SVGPoint) case arc(SVGArc) case end } public extension SVGCommand { var point: SVGPoint? { switch self { case let .moveTo(point), let .lineTo(point), let .cubic(_, _, point), let .quadratic(_, point): return point case let .arc(arc): return arc.end case .end: return nil } } var control1: SVGPoint? { switch self { case let .cubic(control1, _, _), let .quadratic(control1, _): return control1 case .moveTo, .lineTo, .arc, .end: return nil } } var control2: SVGPoint? { switch self { case let .cubic(_, control2, _): return control2 case .moveTo, .lineTo, .quadratic, .arc, .end: return nil } } func getPoints(_ points: inout [SVGPoint], detail: Int) { var start: Int? for (i, point) in points.enumerated() { if let j = start { if points[j] == point { start = nil } } else { start = i } } func endSubpath() { if start == points.count - 1 { points.removeLast() } else if let start = start { points.append(points[start]) } } let popLast = start != nil let last = points.last ?? .zero switch self { case let .moveTo(point): endSubpath() points.append(point) case let .lineTo(point): if !popLast { points.append(last) } points.append(point) case let .cubic(control1, control2, point): if popLast { _ = points.popLast() } let step = 1.0 / Double(detail) for t in stride(from: 0, through: 1.0, by: step) { points.append(SVGPoint( x: cubicBezier(last.x, control1.x, control2.x, point.x, t), y: cubicBezier(last.y, control1.y, control2.y, point.y, t) )) } case let .quadratic(control, point): if popLast { _ = points.popLast() } let step = 1.0 / Double(detail) for t in stride(from: 0, through: 1.0, by: step) { points.append(SVGPoint( x: quadraticBezier(last.x, control.x, point.x, t), y: quadraticBezier(last.y, control.y, point.y, t) )) } case let .arc(arc): for command in arc.asBezierPath(from: last) { command.getPoints(&points, detail: detail) } case .end: endSubpath() } } fileprivate func relative(to last: SVGPoint) -> SVGCommand { switch self { case let .moveTo(point): return .moveTo(point + last) case let .lineTo(point): return .lineTo(point + last) case let .cubic(control1, control2, point): return .cubic(control1 + last, control2 + last, point + last) case let .quadratic(control, point): return .quadratic(control + last, point + last) case let .arc(arc): return .arc(arc.relative(to: last)) case .end: return .end } } } public struct SVGPoint: Hashable { public var x, y: Double public init(x: Double, y: Double) { self.x = x self.y = y } } public extension SVGPoint { static let zero = SVGPoint(x: 0, y: 0) static func + (lhs: SVGPoint, rhs: SVGPoint) -> SVGPoint { SVGPoint(x: lhs.x + rhs.x, y: lhs.y + rhs.y) } static func - (lhs: SVGPoint, rhs: SVGPoint) -> SVGPoint { SVGPoint(x: lhs.x - rhs.x, y: lhs.y - rhs.y) } } public struct SVGArc: Hashable { public var radius: SVGPoint public var rotation: Double public var largeArc: Bool public var sweep: Bool public var end: SVGPoint } public extension SVGArc { func asBezierPath(from currentPoint: SVGPoint) -> [SVGCommand] { let px = currentPoint.x, py = currentPoint.y var rx = abs(radius.x), ry = abs(radius.y) let xr = rotation let largeArcFlag = largeArc let sweepFlag = sweep let cx = end.x, cy = end.y let sinphi = sin(xr), cosphi = cos(xr) let dx = (px - cx) / 2, dy = (py - cy) / 2 let pxp = cosphi * dx + sinphi * dy, pyp = -sinphi * dx + cosphi * dy if pxp == 0, pyp == 0 { return [] } let lambda = pow(pxp, 2) / pow(rx, 2) + pow(pyp, 2) / pow(ry, 2) if lambda > 1 { rx *= sqrt(lambda) ry *= sqrt(lambda) } let rxsq = pow(rx, 2), rysq = pow(ry, 2) let pxpsq = pow(pxp, 2), pypsq = pow(pyp, 2) var radicant = max(0, rxsq * rysq - rxsq * pypsq - rysq * pxpsq) radicant /= (rxsq * pypsq) + (rysq * pxpsq) radicant = sqrt(radicant) * (largeArcFlag != sweepFlag ? -1 : 1) let centerxp = radicant * rx / ry * pyp let centeryp = radicant * -ry / rx * pxp let centerx = cosphi * centerxp - sinphi * centeryp + (px + cx) / 2 let centery = sinphi * centerxp + cosphi * centeryp + (py + cy) / 2 func vectorAngle( _ ux: Double, _ uy: Double, _ vx: Double, _ vy: Double ) -> Double { let sign = (ux * vy - uy * vx < 0) ? -1.0 : 1.0 let umag = sqrt(ux * ux + uy * uy), vmag = sqrt(vx * vx + vy * vy) let dot = ux * vx + uy * vy return sign * acos(max(-1, min(1, dot / (umag * vmag)))) } func toEllipse(_ x: Double, _ y: Double) -> SVGPoint { let x = x * rx, y = y * ry let xp = cosphi * x - sinphi * y, yp = sinphi * x + cosphi * y return SVGPoint(x: xp + centerx, y: yp + centery) } let vx1 = (pxp - centerxp) / rx, vy1 = (pyp - centeryp) / ry let vx2 = (-pxp - centerxp) / rx, vy2 = (-pyp - centeryp) / ry var a1 = vectorAngle(1, 0, vx1, vy1) var a2 = vectorAngle(vx1, vy1, vx2, vy2) if sweepFlag, a2 > 0 { a2 -= .pi * 2 } else if !sweepFlag, a2 < 0 { a2 += .pi * 2 } let segments = max(ceil(abs(a2) / (.pi / 2)), 1) a2 /= segments let a = 4 / 3 * tan(a2 / 4) return (0 ..< Int(segments)).map { _ in let x1 = cos(a1), y1 = sin(a1) let x2 = cos(a1 + a2), y2 = sin(a1 + a2) let p1 = toEllipse(x1 - y1 * a, y1 + x1 * a) let p2 = toEllipse(x2 + y2 * a, y2 - x2 * a) let p = toEllipse(x2, y2) a1 += a2 return SVGCommand.cubic(p1, p2, p) } } fileprivate func relative(to last: SVGPoint) -> SVGArc { var arc = self arc.end = arc.end + last return arc } } private func quadraticBezier( _ p0: Double, _ p1: Double, _ p2: Double, _ t: Double ) -> Double { let oneMinusT = 1 - t let c0 = oneMinusT * oneMinusT * p0 let c1 = 2 * oneMinusT * t * p1 let c2 = t * t * p2 return c0 + c1 + c2 } private func cubicBezier( _ p0: Double, _ p1: Double, _ p2: Double, _ p3: Double, _ t: Double ) -> Double { let oneMinusT = 1 - t let oneMinusTSquared = oneMinusT * oneMinusT let c0 = oneMinusTSquared * oneMinusT * p0 let c1 = 3 * oneMinusTSquared * t * p1 let c2 = 3 * oneMinusT * t * t * p2 let c3 = t * t * t * p3 return c0 + c1 + c2 + c3 } ShapeScript-1.6.14/SVGPath/Tests/000077500000000000000000000000001450355336000164125ustar00rootroot00000000000000ShapeScript-1.6.14/SVGPath/Tests/CGPathTests.swift000066400000000000000000000156361450355336000216340ustar00rootroot00000000000000// // CGPathTests.swift // SVGPathTests // // Created by Nick Lockwood on 08/01/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // #if canImport(CoreGraphics) import CoreGraphics @testable import SVGPath import XCTest private extension CGPath { var elements: [CGPathElement] { var elements = [CGPathElement]() enumerate { elements.append($0) } return elements } } private func XCTAssertEqual( _ lhs: @autoclosure () throws -> [CGPathElement], _ rhs: @autoclosure () throws -> [CGPathElement], file: StaticString = #file, line: UInt = #line ) { XCTAssertNoThrow(_ = try lhs(), file: file, line: line) XCTAssertNoThrow(_ = try rhs(), file: file, line: line) if let lhs = try? lhs(), let rhs = try? rhs() { for (lhs, rhs) in zip(lhs, rhs) { XCTAssertEqual( lhs.type.rawValue, rhs.type.rawValue, file: file, line: line ) guard lhs.type == rhs.type else { return } switch lhs.type { case .addCurveToPoint: XCTAssertEqual( lhs.points[2], rhs.points[2], file: file, line: line ) fallthrough case .addQuadCurveToPoint: XCTAssertEqual( lhs.points[1], rhs.points[1], file: file, line: line ) fallthrough case .moveToPoint, .addLineToPoint: XCTAssertEqual( lhs.points[0], rhs.points[0], file: file, line: line ) case .closeSubpath: break @unknown default: break } } } } private func XCTAssertEqual( _ lhs: @autoclosure () throws -> CGPath, _ rhs: @autoclosure () throws -> CGPath, file: StaticString = #file, line: UInt = #line ) { XCTAssertNoThrow(_ = try lhs(), file: file, line: line) XCTAssertNoThrow(_ = try rhs(), file: file, line: line) if let lhs = try? lhs(), let rhs = try? rhs() { XCTAssertEqual(lhs.elements, rhs.elements, file: file, line: line) } } class CGPathTests: XCTestCase { func testTriangle() throws { let svgPath = try SVGPath(string: "M150 0 L75 200 L225 200 Z") let cgPath = CGMutablePath() cgPath.move(to: CGPoint(x: 150, y: 0)) cgPath.addLine(to: CGPoint(x: 75, y: -200)) cgPath.addLine(to: CGPoint(x: 225, y: -200)) cgPath.closeSubpath() XCTAssertEqual(.from(svgPath: svgPath), cgPath) XCTAssertEqual(SVGPath(cgPath: cgPath), svgPath) } func testTriangleString() { let svgPath = "M150 0 L75 200 L225 200 Z" let cgPath = CGMutablePath() cgPath.move(to: CGPoint(x: 150, y: 0)) cgPath.addLine(to: CGPoint(x: 75, y: -200)) cgPath.addLine(to: CGPoint(x: 225, y: -200)) cgPath.closeSubpath() XCTAssertEqual(try CGPath.from(svgPath: svgPath), cgPath) } func testCross() throws { let svgPath = try SVGPath(string: "M2 1 h1 v1 h1 v1 h-1 v1 h-1 v-1 h-1 v-1 h1 z") let cgPath = CGMutablePath() cgPath.move(to: CGPoint(x: 2, y: -1)) cgPath.addLine(to: CGPoint(x: 3, y: -1)) cgPath.addLine(to: CGPoint(x: 3, y: -2)) cgPath.addLine(to: CGPoint(x: 4, y: -2)) cgPath.addLine(to: CGPoint(x: 4, y: -3)) cgPath.addLine(to: CGPoint(x: 3, y: -3)) cgPath.addLine(to: CGPoint(x: 3, y: -4)) cgPath.addLine(to: CGPoint(x: 2, y: -4)) cgPath.addLine(to: CGPoint(x: 2, y: -3)) cgPath.addLine(to: CGPoint(x: 1, y: -3)) cgPath.addLine(to: CGPoint(x: 1, y: -2)) cgPath.addLine(to: CGPoint(x: 2, y: -2)) cgPath.closeSubpath() XCTAssertEqual(.from(svgPath: svgPath), cgPath) XCTAssertEqual(SVGPath(cgPath: cgPath), svgPath) } func testHeart() throws { let svgPath = try SVGPath(string: """ M213.1,6.7c-32.4-14.4-73.7,0-88.1,30.6C110.6,4.9,67.5-9.5,36.9,6.7 C2.8,22.9-13.4,62.4,13.5,110.9 C33.3,145.1,67.5,170.3,125,217 c59.3-46.7,93.5-71.9,111.5-106.1C263.4,64.2,247.2,22.9,213.1,6.7z """) let cgPath = CGPath.from(svgPath: svgPath) XCTAssertEqual(SVGPath(cgPath: cgPath), svgPath) } func testNumbersWithoutSeparator() throws { let svgPath = try SVGPath(string: "M0 0L-.57.13Z") let cgPath = CGMutablePath() cgPath.move(to: .zero) cgPath.addLine(to: CGPoint(x: -0.57, y: -0.13)) cgPath.closeSubpath() XCTAssertEqual(.from(svgPath: svgPath), cgPath) XCTAssertEqual(SVGPath(cgPath: cgPath), svgPath) } func testAbsoluteHorizontalRule() throws { let svgPath = try SVGPath(string: "M0 0L10 10H0Z") let cgPath = CGMutablePath() cgPath.move(to: .zero) cgPath.addLine(to: CGPoint(x: 10, y: -10)) cgPath.addLine(to: CGPoint(x: 0, y: -10)) cgPath.closeSubpath() XCTAssertEqual(.from(svgPath: svgPath), cgPath) XCTAssertEqual(SVGPath(cgPath: cgPath), svgPath) } func testTrailingNumber() throws { XCTAssertThrowsError(try SVGPath( string: "M150 0 L75 200 L225 200 Z5" )) { error in XCTAssertEqual( error as? SVGError, .unexpectedArgument(for: "Z", expected: 0) ) } } func testRepeatedParams() throws { let svgPath = try SVGPath(string: "M150 0 L75 200 225 200 Z") let cgPath = CGMutablePath() cgPath.move(to: CGPoint(x: 150, y: 0)) cgPath.addLine(to: CGPoint(x: 75, y: -200)) cgPath.addLine(to: CGPoint(x: 225, y: -200)) cgPath.closeSubpath() XCTAssertEqual(.from(svgPath: svgPath), cgPath) XCTAssertEqual(SVGPath(cgPath: cgPath), svgPath) } func testScientificNotationNumbers() throws { let svgPath = try SVGPath(string: "M150 0e0 L75 200e-0 225E+0 200E-0 Z") let cgPath = CGMutablePath() cgPath.move(to: CGPoint(x: 150, y: 0)) cgPath.addLine(to: CGPoint(x: 75, y: -200)) cgPath.addLine(to: CGPoint(x: 225, y: -200)) cgPath.closeSubpath() XCTAssertEqual(.from(svgPath: svgPath), cgPath) XCTAssertEqual(SVGPath(cgPath: cgPath), svgPath) } func testImplicitLines() throws { let svgPath = try SVGPath(string: "M150 0 75 200 225 200 Z") let cgPath = CGMutablePath() cgPath.move(to: CGPoint(x: 150, y: 0)) cgPath.addLine(to: CGPoint(x: 75, y: -200)) cgPath.addLine(to: CGPoint(x: 225, y: -200)) cgPath.closeSubpath() XCTAssertEqual(.from(svgPath: svgPath), cgPath) XCTAssertEqual(SVGPath(cgPath: cgPath), svgPath) } } #endif ShapeScript-1.6.14/SVGPath/Tests/Info.plist000066400000000000000000000012751450355336000203670ustar00rootroot00000000000000 CFBundleDevelopmentRegion $(DEVELOPMENT_LANGUAGE) CFBundleExecutable $(EXECUTABLE_NAME) CFBundleIdentifier $(PRODUCT_BUNDLE_IDENTIFIER) CFBundleInfoDictionaryVersion 6.0 CFBundleName $(PRODUCT_NAME) CFBundlePackageType BNDL CFBundleShortVersionString 1.0 CFBundleVersion 1 ShapeScript-1.6.14/SVGPath/Tests/SVGPathTests.swift000066400000000000000000000175671450355336000220070ustar00rootroot00000000000000// // SVGPathTests.swift // SVGPathTests // // Created by Nick Lockwood on 08/01/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import SVGPath import XCTest class SVGPathTests: XCTestCase { func testTriangle() throws { let svgPath = try SVGPath(string: "M150 0 L75 200 L225 200 Z") let expected = SVGPath(commands: [ .moveTo(.init(x: 150, y: 0)), .lineTo(.init(x: 75, y: -200)), .lineTo(.init(x: 225, y: -200)), .end, ]) XCTAssertEqual(svgPath, expected) } func testCross() throws { let svgPath = try SVGPath(string: "M2 1 h1 v1 h1 v1 h-1 v1 h-1 v-1 h-1 v-1 h1 z") let expected = SVGPath(commands: [ .moveTo(.init(x: 2, y: -1)), .lineTo(.init(x: 3, y: -1)), .lineTo(.init(x: 3, y: -2)), .lineTo(.init(x: 4, y: -2)), .lineTo(.init(x: 4, y: -3)), .lineTo(.init(x: 3, y: -3)), .lineTo(.init(x: 3, y: -4)), .lineTo(.init(x: 2, y: -4)), .lineTo(.init(x: 2, y: -3)), .lineTo(.init(x: 1, y: -3)), .lineTo(.init(x: 1, y: -2)), .lineTo(.init(x: 2, y: -2)), .end, ]) XCTAssertEqual(svgPath, expected) } func testHeart() throws { let heart = try SVGPath(string: """ M213.1,6.7c-32.4-14.4-73.7,0-88.1,30.6C110.6,4.9,67.5-9.5,36.9,6.7 C2.8,22.9-13.4,62.4,13.5,110.9 C33.3,145.1,67.5,170.3,125,217 c59.3-46.7,93.5-71.9,111.5-106.1C263.4,64.2,247.2,22.9,213.1,6.7z """) var options = SVGPath.WriteOptions(wrapWidth: 72) XCTAssertEqual(heart.string(with: options), """ M213.1 6.7 C180.7 -7.7 139.4 6.7 125 37.3 C110.6 4.9 67.5 -9.5 36.9 6.7 C2.8 22.9 -13.4 62.4 13.5 110.9 C33.3 145.1 67.5 170.3 125 217 C184.3 170.3 218.5 145.1 236.5 110.9 C263.4 64.2 247.2 22.9 213.1 6.7 Z """) options.prettyPrinted = false XCTAssertEqual(heart.string(with: options), """ M213.1 6.7C180.7-7.7 139.4 6.7 125 37.3C110.6 4.9 67.5-9.5 36.9 6.7C2.8 22.9-13.4 62.4 13.5 110.9C33.3 145.1 67.5 170.3 125 217C184.3 170.3 218.5 145.1 236.5 110.9C263.4 64.2 247.2 22.9 213.1 6.7Z """) } func testPathRoundTrip() throws { let pathString = """ M435 390.39A10 10 0 0 1 442.46 394.21L492.19 457.78A9.09 9.09 0 0 1 492.3 469.09L442.46 532.81A8.29 8.29 0 0 1 435 536.39L153.15 536.39A9.2 9.2 0 0 1 146 532.77L96.27 469.2A9.09 9.09 0 0 1 96.16 457.89L146 394.18 C147.42 392.37 149.37 390.39 151.48 390.39L435 390.39M435 387.39L151.16 387.39C148.59 387.52 146.16 389.13 143.64 392.32L93.8 456A12 12 0 0 0 93.93 471L143.64 534.55A12.21 12.21 0 0 0 153.15 539.32L435 539.32A11.19 11.19 0 0 0 444.82 534.58L494.66 470.87A12 12 0 0 0 494.53 455.87L444.82 392.32A13.06 13.06 0 0 0 435 387.32Z """ let path = try SVGPath(string: pathString) let options = SVGPath.WriteOptions(prettyPrinted: false, wrapWidth: 72) XCTAssertEqual(path.string(with: options), pathString) } func testNumbersWithoutSeparator() throws { let svgPath = try SVGPath(string: "M0 0L-.57.13Z") let expected = SVGPath(commands: [ .moveTo(.zero), .lineTo(.init(x: -0.57, y: -0.13)), .end, ]) XCTAssertEqual(svgPath, expected) } func testNumbersWithPlusAsSeparator() throws { let svgPath = try SVGPath(string: "M0 0L.57+5Z") let expected = SVGPath(commands: [ .moveTo(.zero), .lineTo(.init(x: 0.57, y: -5)), .end, ]) XCTAssertEqual(svgPath, expected) } func testAbsoluteHorizontalRule() throws { let svgPath = try SVGPath(string: "M0 0L10 10H0Z") let expected = SVGPath(commands: [ .moveTo(.zero), .lineTo(.init(x: 10, y: -10)), .lineTo(.init(x: 0, y: -10)), .end, ]) XCTAssertEqual(svgPath, expected) } func testTrailingNumber() throws { XCTAssertThrowsError(try SVGPath( string: "M150 0 L75 200 L225 200 Z5" )) { error in XCTAssertEqual( error as? SVGError, .unexpectedArgument(for: "Z", expected: 0) ) } } func testRepeatedParams() throws { let svgPath = try SVGPath(string: "M150 0 L75 200 225 200 Z") let expected = SVGPath(commands: [ .moveTo(.init(x: 150, y: 0)), .lineTo(.init(x: 75, y: -200)), .lineTo(.init(x: 225, y: -200)), .end, ]) XCTAssertEqual(svgPath, expected) } func testScientificNotationNumbers() throws { let svgPath = try SVGPath(string: "M150 0 L75 200e+0 225e-0 200 Z") let expected = SVGPath(commands: [ .moveTo(.init(x: 150, y: 0)), .lineTo(.init(x: 75, y: -200)), .lineTo(.init(x: 225, y: -200)), .end, ]) XCTAssertEqual(svgPath, expected) } func testImplicitLines() throws { let svgPath = try SVGPath(string: "M150 0 75 200 225 200 Z") let expected = SVGPath(commands: [ .moveTo(.init(x: 150, y: 0)), .lineTo(.init(x: 75, y: -200)), .lineTo(.init(x: 225, y: -200)), .end, ]) XCTAssertEqual(svgPath, expected) } func testRelativePathAfterEndCommand() throws { let svgPath = try SVGPath(string: """ m246.7881938,177.5848955c-13.9366996-.4842-27.8722993-.77-41.8169989 -.8486,6.3990998,6.5819998,12.7983997,13.1638997,19.1974995,19.7456995, 7.3688998-6.5151998,14.8972996-12.8044997,22.6194994-18.8970995Zm -45.4452989,2.3984999c-7.2300998,6.6123998-14.2535996,13.4058997 -21.1025995,20.4121995,12.8467997,13.5595997,25.6935994,27.1189993, 38.540699,40.678399,6.9114998-7.2348998,14.0072996-14.2496996, 21.3211995-21.0778995-12.9196997-13.3375997-25.8395993-26.6751993 -38.759299-40.012699Z """) let expected = SVGPath(commands: [ .moveTo(.init(x: 246.7881938, y: -177.5848955)), .cubic( .init(x: 232.8514942, y: -177.1006955), .init(x: 218.91589449999998, y: -176.81489549999998), .init(x: 204.9711949, y: -176.73629549999998) ), .cubic( .init(x: 211.3702947, y: -183.3182953), .init(x: 217.7695946, y: -189.90019519999998), .init(x: 224.1686944, y: -196.48199499999998) ), .cubic( .init(x: 231.5375942, y: -189.96679519999998), .init(x: 239.065994, y: -183.67749529999998), .init(x: 246.7881938, y: -177.5848955) ), .end, .moveTo(.init(x: 201.34289489999998, y: -179.98339539999998)), .cubic( .init(x: 194.11279509999997, y: -186.59579519999997), .init(x: 187.08929529999997, y: -193.38929509999997), .init(x: 180.24029539999998, y: -200.3955949) ), .cubic( .init(x: 193.08709509999997, y: -213.9551946), .init(x: 205.9338948, y: -227.51459419999998), .init(x: 218.78099439999997, y: -241.0739939) ), .cubic( .init(x: 225.69249419999997, y: -233.8390941), .init(x: 232.78829399999998, y: -226.82429430000002), .init(x: 240.10219389999997, y: -219.9960944) ), .cubic( .init(x: 227.18249419999998, y: -206.6584947), .init(x: 214.26259459999997, y: -193.3208951), .init(x: 201.34289489999998, y: -179.9833954) ), .end, ]) XCTAssertEqual(svgPath, expected) } } ShapeScript-1.6.14/ShapeScript.podspec.json000066400000000000000000000011461450355336000206120ustar00rootroot00000000000000{ "name": "ShapeScript", "version": "1.6.14", "license": { "type": "MIT", "file": "LICENSE.md" }, "summary": "Scripting language for creating and manipulating 3D geometry", "homepage": "https://github.com/nicklockwood/ShapeScript", "authors": "Nick Lockwood", "source": { "git": "https://github.com/nicklockwood/ShapeScript.git", "tag": "1.6.14" }, "source_files": ["ShapeScript", "LRUCache/Sources", "SVGPath/Sources"], "requires_arc": true, "dependencies": { "Euclid": [ ] }, "platforms": { "ios": "11.0", "osx": "10.13", "tvos": "11.0" } } ShapeScript-1.6.14/ShapeScript.xcodeproj/000077500000000000000000000000001450355336000202555ustar00rootroot00000000000000ShapeScript-1.6.14/ShapeScript.xcodeproj/project.pbxproj000066400000000000000000002626371450355336000233510ustar00rootroot00000000000000// !$*UTF8*$! { archiveVersion = 1; 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All rights reserved. // import Euclid public extension Collection where Element == Path { /// Collective bounds for all paths var bounds: Bounds { reduce(into: .empty) { $0.formUnion($1.bounds) } } } public extension Color { init?(hexString: String) { var string = hexString if hexString.hasPrefix("#") { string = String(string.dropFirst()) } switch string.count { case 3: string += "f" fallthrough case 4: let chars = Array(string) let red = chars[0] let green = chars[1] let blue = chars[2] let alpha = chars[3] string = "\(red)\(red)\(green)\(green)\(blue)\(blue)\(alpha)\(alpha)" case 6: string += "ff" case 8: break default: return nil } guard let rgba = Double("0x" + string).flatMap({ UInt32(exactly: $0) }) else { return nil } let red = Double((rgba & 0xFF00_0000) >> 24) / 255 let green = Double((rgba & 0x00FF_0000) >> 16) / 255 let blue = Double((rgba & 0x0000_FF00) >> 8) / 255 let alpha = Double((rgba & 0x0000_00FF) >> 0) / 255 self.init(unchecked: [red, green, blue, alpha]) } } extension Color { init(unchecked components: [Double]) { if let color = Color(components) { self = color } else { assertionFailure() self = .clear } } } extension Angle { var halfturns: Double { radians / .pi } init(halfturns: Double) { self.init(radians: halfturns * .pi) } static func halfturns(_ halfturns: Double) -> Angle { self.init(halfturns: halfturns) } } extension Rotation { var rollYawPitchInHalfTurns: [Double] { [roll.radians / .pi, yaw.radians / .pi, pitch.radians / .pi] } init?(rollYawPitchInHalfTurns: [Double]) { var roll = 0.0, yaw = 0.0, pitch = 0.0 switch rollYawPitchInHalfTurns.count { case 3: pitch = rollYawPitchInHalfTurns[2] fallthrough case 2: yaw = rollYawPitchInHalfTurns[1] fallthrough case 1: roll = rollYawPitchInHalfTurns[0] case 0: break default: return nil } self.init( roll: .radians(roll * .pi), yaw: .radians(yaw * .pi), pitch: .radians(pitch * .pi) ) } init(unchecked rollYawPitchInHalfTurns: [Double]) { if let rotation = Rotation(rollYawPitchInHalfTurns: rollYawPitchInHalfTurns) { self = rotation } else { assertionFailure() self = .identity } } } #if canImport(UIKit) import UIKit #elseif canImport(AppKit) import AppKit #endif #if canImport(CoreText) private extension NSAttributedString { convenience init(string: String, font: String?, color: Color?, linespacing: Double?) { var fontName = (font ?? "Helvetica") as CFString #if canImport(CoreGraphics) fontName = CGFont(fontName)?.postScriptName ?? fontName #endif let font = CTFontCreateWithName(fontName as CFString, 1, nil) var attributes = [NSAttributedString.Key.font: font as Any] #if canImport(AppKit) || canImport(UIKit) let paragraphStyle = NSMutableParagraphStyle() paragraphStyle.lineSpacing = CGFloat(linespacing ?? 0) attributes[.paragraphStyle] = paragraphStyle attributes[.foregroundColor] = color.map(OSColor.init) #endif self.init(string: string, attributes: attributes) } } #endif extension Path { /// Does path contain vertex colors var hasColors: Bool { points.contains(where: { $0.color != nil }) } /// Create an array of text paths static func text( _ text: [TextValue], width: Double? = nil, detail: Int = 2 ) -> [Path] { #if canImport(CoreText) let attributedString = NSMutableAttributedString() for text in text { var string = text.string if attributedString.length > 0 { string = "\n\(string)" } attributedString.append(NSAttributedString( string: string, font: text.font, color: text.color, linespacing: text.linespacing )) } return Path.text(attributedString, width: width, detail: detail) #else // TODO: throw error when CoreText not available return [] #endif } /// Increase path detail in proportion to twist angle func withDetail(_ detail: Int, twist: Angle) -> Path { let subpaths = self.subpaths guard subpaths.count == 1 else { return Path(subpaths: subpaths.map { $0.withDetail(detail, twist: twist) }) } guard var prev = points.first else { return self } let total = length let maxStep = Angle.twoPi / max(1, Double(detail / 2)) var split = false let path = Path([prev] + points.dropFirst() .flatMap { point -> [PathPoint] in defer { prev = point } let length = (point.position - prev.position).length let step = twist * (length / total) if step >= maxStep { split = true return [prev.lerp(point, 0.5).curved(), point] } return [point] } ) return split ? path.withDetail(detail, twist: twist) : path } } ShapeScript-1.6.14/ShapeScript/EvaluationContext.swift000066400000000000000000000353711450355336000230240ustar00rootroot00000000000000// // EvaluationContext.swift // ShapeScript // // Created by Nick Lockwood on 18/12/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // import Euclid import Foundation #if canImport(CoreGraphics) import CoreGraphics #endif #if canImport(CoreText) import CoreText #endif // MARK: Implementation public struct SourceLocation: Hashable { public let line: Int public let file: URL? public init(at line: Int, in file: URL?) { self.line = line self.file = file } } final class EvaluationContext { private final class ImportCache { var store = [URL: Program]() } private weak var delegate: EvaluationDelegate? private var symbols: Symbols = .root var userSymbols: Symbols = [:] var options: Options = [:] private let importCache: ImportCache private var importStack: [URL] let isCancelled: Mesh.CancellationHandler var source: String var sourceIndex: String.Index? var baseURL: URL? var material: Material = .default var background: MaterialProperty? var transform = Transform.identity var childTransform = Transform.identity var childTypes: ValueType = .mesh var name: String = "" var namedObjects: [String: Geometry] = [:] var children = [Value]() { didSet { for case let .mesh(geometry) in children { geometry.gatherNamedObjects(&namedObjects) } } } var random: RandomSequence var detail = 16 var smoothing: Angle? var font: String = "" var opacity = 1.0 var stackDepth = 1 var sourceLocation: () -> SourceLocation? { { [sourceIndex, source, baseURL] in sourceIndex.map { SourceLocation(at: source.line(at: $0), in: baseURL) } } } init( source: String, delegate: EvaluationDelegate?, isCancelled: @escaping () -> Bool = { false } ) { self.source = source self.delegate = delegate self.isCancelled = isCancelled importCache = ImportCache() importStack = [] random = RandomSequence(seed: 0) } private init(parent: EvaluationContext) { // preserve source = parent.source sourceIndex = parent.sourceIndex baseURL = parent.baseURL delegate = parent.delegate isCancelled = parent.isCancelled symbols = parent.symbols userSymbols = parent.userSymbols importCache = parent.importCache importStack = parent.importStack material = parent.material childTypes = parent.childTypes namedObjects = parent.namedObjects random = parent.random detail = parent.detail smoothing = parent.smoothing font = parent.font // root-only background = parent.background // opacity is cumulative opacity = parent.material.opacity // reset transform = .identity childTransform = .identity children = [] // stack stackDepth = parent.stackDepth + 1 } func push(_ type: BlockType) -> EvaluationContext { let new = EvaluationContext(parent: self) new.childTypes = type.childTypes new.symbols = type.symbols new.options = type.options for (name, symbol) in type.symbols where Symbols.global[name] == nil { if case .placeholder = symbol { continue } new.userSymbols[name] = nil } return new } func pushScope(_ block: (EvaluationContext) throws -> Void) rethrows { let oldSourceIndex = sourceIndex let oldSymbols = userSymbols defer { sourceIndex = oldSourceIndex userSymbols = oldSymbols.merging(userSymbols.filter { if case .option = $0.value, options[$0.key] != nil { return true } return false }) { $1 } } try block(self) } func pushDefinition() -> EvaluationContext { let new = EvaluationContext(parent: self) new.name = name new.namedObjects = namedObjects new.transform = transform new.opacity = opacity new.childTypes = ValueType.any new.symbols = .definition return new } } extension EvaluationContext { func symbol(for name: String) -> Symbol? { if let symbol = userSymbols[name] ?? symbols[name] ?? Symbols.global[name] { return symbol } switch name { case "colour": return symbol(for: "color") default: return nil } } func define(_ name: String, as symbol: Symbol?) { userSymbols[name] = symbol } var allSymbols: Symbols { Symbols.global.merging(symbols) { $1 }.merging(userSymbols) { $1 } } /// Symbols that can be used in an expression (i.e. that return a value) var expressionSymbols: [String] { Array(allSymbols.filter { switch $1 { case let .function(type, _) where type.returnType == .void: return false case .function, .property, .block, .constant, .option, .placeholder: return true } }.keys) } /// Symbols that can be used as a command (i.e. that accept an argument) var commandSymbols: [String] { Array(allSymbols.filter { switch $1 { case .function, .property, .block, .placeholder: return true case .constant, .option: return false } }.keys) + Keyword.allCases.map { $0.rawValue } } /// Return the value of the specified symbol in the current context func value(for name: String) -> Value? { switch symbol(for: name) { case let .constant(value), let .option(value): return value case .function, .property, .block, .placeholder, nil: return nil } } } // MARK: Debugging extension EvaluationContext { func debugLog(_ values: [AnyHashable]) { delegate?.debugLog(values) } } // MARK: External file access extension EvaluationContext { private func isUndownloadedUbiquitousFile(_ url: URL) -> Bool { #if os(macOS) || os(iOS) return (try? url.resourceValues(forKeys: [ .ubiquitousItemDownloadingStatusKey, ]).ubiquitousItemDownloadingStatus) == .notDownloaded #else return false #endif } func resolveURL(for path: String) throws -> URL { let path = path.trimmingCharacters(in: .whitespacesAndNewlines) guard !path.isEmpty else { // TODO: should this be a different error type, like "empty path not allowed"? throw RuntimeErrorType.fileNotFound(for: path, at: nil) } let documentRelativePath = baseURL.map { URL(fileURLWithPath: path, relativeTo: $0).path } ?? path guard let url = delegate?.resolveURL(for: documentRelativePath) else { // TODO: should this be a different error type, like "delegate not available"? throw RuntimeErrorType.fileNotFound(for: path, at: nil) } let fileManager = FileManager.default // try? fileManager.evictUbiquitousItem(at: url) // Handy for testing // TODO: move this logic out of EvaluationContext into delegate // so we can more easily mock the filesystem for testing purposes let isRemote = isUndownloadedUbiquitousFile(url) #if os(macOS) // macOS can check for existence of files even without access permission guard isRemote || fileManager.fileExists(atPath: url.path) else { throw RuntimeErrorType.fileNotFound(for: path, at: url) } #endif let directory = url.deletingLastPathComponent() guard isRemote || fileManager.isReadableFile(atPath: url.path) || fileManager.isReadableFile(atPath: directory.path) else { throw RuntimeErrorType.fileAccessRestricted(for: path, at: directory) } guard isRemote || fileManager.fileExists(atPath: url.path) else { throw RuntimeErrorType.fileNotFound(for: path, at: url) } #if os(macOS) || os(iOS) // TODO: Make this interface asynchronous instead of blocking if isRemote { try FileManager.default.startDownloadingUbiquitousItem(at: url) var url = url let start = CFAbsoluteTimeGetCurrent() let timeout: TimeInterval = 30 while isUndownloadedUbiquitousFile(url), !isCancelled() { if CFAbsoluteTimeGetCurrent() - start > timeout { throw RuntimeErrorType.fileTimedOut(for: path, at: url) } Thread.sleep(forTimeInterval: 0.1) url.removeAllCachedResourceValues() } } #endif return url } func resolveFont(_ name: String) throws -> String { let name = name .trimmingCharacters(in: .whitespacesAndNewlines) .replacingOccurrences(of: "\t", with: " ") .replacingOccurrences(of: " ", with: " ") #if canImport(CoreGraphics) && canImport(CoreText) guard [".otf", ".ttf", ".ttc"].contains(where: { name.lowercased().hasSuffix($0) }) else { guard CGFont(name as CFString) != nil else { var options = [String]() options += CTFontManagerCopyAvailablePostScriptNames() as? [String] ?? [] options += CTFontManagerCopyAvailableFontFamilyNames() as? [String] ?? [] // TODO: Work around silly race condition where font may have // been imported by another file in the meantime throw RuntimeErrorType.unknownFont(name, options: options) } return name } let url = try resolveURL(for: name) guard let dataProvider = CGDataProvider(url: url as CFURL) else { throw RuntimeErrorType.fileNotFound(for: name, at: url) } guard let cgFont = CGFont(dataProvider), CTFontManagerRegisterGraphicsFont(cgFont, nil) else { throw RuntimeErrorType.fileParsingError(for: name, at: url, message: "") } return cgFont.fullName as String? ?? "" #else return name #endif } func importFile(at path: String) throws { let url = try resolveURL(for: path) if importStack.contains(url) { throw RuntimeErrorType.circularImport(for: url) } switch url.pathExtension.lowercased() { case "shape": let program: Program if let entry = importCache.store[url] { program = entry } else { let source: String do { source = try String(contentsOf: url) } catch { throw RuntimeErrorType.fileParsingError( for: path, at: url, message: error.localizedDescription ) } do { // TODO: async source loading? program = try parse(source) importCache.store[url] = program } catch { throw RuntimeErrorType.importError( ProgramError(error), for: url, in: source ) } } let oldURL = baseURL baseURL = url importStack.append(url) defer { baseURL = oldURL importStack.removeLast() } do { try program.evaluate(in: self) } catch { throw RuntimeErrorType.importError( ProgramError(error), for: url, in: program.source ) } case "txt": let text: String do { text = try String(contentsOf: url) } catch { throw RuntimeErrorType.fileParsingError( for: path, at: url, message: error.localizedDescription ) } try addValue(.string(text)) case "json": let data: Data do { data = try Data(contentsOf: url) } catch { throw RuntimeErrorType.fileParsingError( for: path, at: url, message: error.localizedDescription ) } let value: Value do { value = try Value(jsonData: data) } catch { let source = try String(contentsOf: url) throw RuntimeErrorType.importError( ProgramError(error), for: url, in: source ) } try addValue(value) default: do { if let geometry = try delegate?.importGeometry(for: url)?.with( transform: childTransform, material: material, sourceLocation: sourceLocation ) { children.append(.mesh(geometry)) return } } catch let error as ProgramError { guard let source = try? String(contentsOf: url) else { throw RuntimeErrorType.fileParsingError( for: path, at: url, message: error.message ) } throw RuntimeErrorType.importError(error, for: url, in: source) } catch { var error: Error? = error while let nsError = error as NSError? { if nsError.domain == NSCocoaErrorDomain, nsError.code == 259 { // Not a recognized model file format break } if let description = ( nsError.userInfo[NSLocalizedRecoverySuggestionErrorKey] ?? nsError.userInfo[NSLocalizedDescriptionKey] ) as? String { throw RuntimeErrorType.fileParsingError( for: path, at: url, message: description ) } error = nsError.userInfo[NSUnderlyingErrorKey] as? Error } } throw RuntimeErrorType.fileTypeMismatch( for: path, at: url, expected: nil ) } } } ShapeScript-1.6.14/ShapeScript/Geometry.swift000066400000000000000000000575501450355336000211460ustar00rootroot00000000000000// // Geometry.swift // ShapeScript Lib // // Created by Nick Lockwood on 01/08/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // import Euclid import Foundation public final class Geometry: Hashable { public let type: GeometryType public let name: String? public let transform: Transform public let material: Material public let smoothing: Angle? public let children: [Geometry] public let isOpaque: Bool // Computed private let _sourceLocation: (() -> SourceLocation?)? public private(set) lazy var sourceLocation: SourceLocation? = _sourceLocation?() public private(set) weak var parent: Geometry? public func hash(into hasher: inout Hasher) { hasher.combine(type) hasher.combine(name) hasher.combine(transform) hasher.combine(material) hasher.combine(children) } public static func == (lhs: Geometry, rhs: Geometry) -> Bool { if lhs === rhs { return true } guard lhs.type == rhs.type, lhs.name == rhs.name, lhs.transform == rhs.transform, lhs.material == rhs.material, lhs.children == rhs.children // Exclude isOpaque, sourceLocation and parent else { return false } return true } /// Whether children should be rendered separately or are included in mesh public var renderChildren: Bool { switch type { case .group: return true case .cone, .cylinder, .sphere, .cube, .lathe, .loft, .path, .mesh, .camera, .light, .intersection, .difference, .stencil: return false case .union, .xor, .extrude, .fill, .hull: return mesh == nil } } // Render with debug mode var debug: Bool { didSet { if debug, type == .group { children.forEach { $0.debug = true } } } } let cacheKey: GeometryCache.Key var cache: GeometryCache? { didSet { children.forEach { $0.cache = cache } } } private let lock: NSLock = .init() private var _mesh: Mesh? private(set) var mesh: Mesh? { get { lock.lock() defer { lock.unlock() } return _mesh } set { lock.lock() defer { lock.unlock() } _mesh = newValue _associatedData = nil } } // External data, e.g. SCNGeometry private var _associatedData: Any? var associatedData: Any? { get { lock.lock() defer { lock.unlock() } if let data = _associatedData { return data } _associatedData = cache?[associatedData: self] return _associatedData } set { cache?[associatedData: self] = newValue lock.lock() defer { lock.unlock() } _associatedData = newValue } } public init( type: GeometryType, name: String?, transform: Transform, material: Material, smoothing: Angle?, children: [Geometry], sourceLocation: (() -> SourceLocation?)?, debug: Bool = false ) { var material = material var children = children var type = type switch type { case var .extrude(paths, options): (paths, material) = paths.fixupColors(material: material) (options.along, material) = options.along.fixupColors(material: material) type = .extrude(paths, options) switch (paths.count, options.along.count) { case (0, 0): break case (1, _), (_, 0): assert(children.isEmpty) default: assert(children.isEmpty) type = .extrude([], .default) children = paths.map { path in Geometry( type: .extrude([path], options), name: nil, transform: .identity, material: material, smoothing: smoothing, children: [], sourceLocation: sourceLocation ) } } case .lathe(var paths, let segments): (paths, material) = paths.fixupColors(material: material) type = .lathe(paths, segments: segments) switch paths.count { case 0: break case 1: assert(children.isEmpty) default: assert(children.isEmpty) type = .lathe([], segments: 0) children = paths.map { Geometry( type: .lathe([$0], segments: segments), name: nil, transform: .identity, material: material, smoothing: smoothing, children: [], sourceLocation: sourceLocation ) } } case var .fill(paths): (paths, material) = paths.fixupColors(material: material) type = .fill(paths) switch paths.count { case 0: break default: assert(children.isEmpty) } case .hull: break // TODO: what needs to be done here? case .cone, .cylinder, .sphere, .cube, .loft, .path, .camera, .light: assert(children.isEmpty) case let .mesh(mesh): material = mesh.polygons.first?.material as? Material ?? material case .union, .xor, .difference, .intersection, .stencil: material = children.first?.material ?? .default case .group: if debug { children.forEach { $0.debug = true } } } self.type = type self.name = name.flatMap { $0.isEmpty ? nil : $0 } self.transform = transform self.material = material self.smoothing = smoothing self.children = children _sourceLocation = sourceLocation self.debug = debug var isOpaque = material.isOpaque func flattenedCacheKey(for geometry: Geometry) -> GeometryCache.Key { isOpaque = isOpaque && geometry.material.isOpaque return GeometryCache.Key( type: geometry.type, material: geometry.material == material ? nil : geometry.material, smoothing: geometry.smoothing, transform: geometry.transform, flipped: geometry.transform.isFlipped, children: geometry.children.map(flattenedCacheKey) ) } cacheKey = GeometryCache.Key( type: type, material: nil, smoothing: smoothing, transform: .identity, flipped: transform.isFlipped, children: type.isLeafGeometry ? [] : children.map(flattenedCacheKey) ) // Must be set after cache key is generated self.isOpaque = isOpaque // Must be set after all other properties children.forEach { $0.parent = self } } } public extension Geometry { var isEmpty: Bool { type.isEmpty && children.allSatisfy { $0.isEmpty } } /// Returns the overestimated Geometry bounds *without* the local transform applied var bounds: Bounds { switch type { case .difference, .stencil: return children.first.map { $0.bounds.transformed(by: $0.transform) } ?? .empty case .intersection: return children.dropFirst().reduce(into: children.first.map { $0.bounds.transformed(by: $0.transform) } ?? .empty) { bounds, child in bounds.formIntersection(child.bounds.transformed(by: child.transform)) } case .union, .xor, .group: return Bounds(bounds: children.map { $0.bounds.transformed(by: $0.transform) }) case .lathe, .fill, .extrude, .loft, .hull: return type.bounds.union(Bounds(bounds: children.map { $0.bounds.transformed(by: $0.transform) })) case .cone, .cube, .cylinder, .sphere, .path, .mesh: return type.bounds case .camera, .light: return .empty } } var camera: Camera? { guard case let .camera(camera) = type else { return nil } return camera } var light: Light? { guard case let .light(light) = type else { return nil } return light } var worldTransform: Transform { (parent?.worldTransform ?? .identity) * transform } internal func gatherNamedObjects(_ dictionary: inout [String: Geometry]) { if let name = name { dictionary[name] = self } children.forEach { $0.gatherNamedObjects(&dictionary) } } var childDebug: Bool { debug || children.contains(where: { $0.childDebug }) } func transformed(by transform: Transform) -> Geometry { Geometry( type: type, name: name, transform: self.transform * transform, material: material, smoothing: smoothing, children: children, sourceLocation: _sourceLocation, debug: debug ) } // object graph shares a common color and no texture func hasUniformMaterial(_ material: Material? = nil) -> Bool { if self.material.texture != nil { return false } if material != nil, material != self.material { return false } return children.allSatisfy { $0.hasUniformMaterial(material ?? self.material) } } /// Returns a copy of the geometry with the specified name func with(name: String?) -> Geometry { _with( name: name, transform: nil, material: nil, sourceLocation: nil ) } func with( transform: Transform, material: Material?, sourceLocation: @escaping () -> SourceLocation? ) -> Geometry { var material = material if material != nil, !hasUniformMaterial() { material?.color = nil material?.texture = nil } return _with( name: nil, transform: transform, material: material, sourceLocation: sourceLocation ) } var path: Path? { guard case let .path(path) = type else { return nil } return path } func build(_ callback: @escaping () -> Bool) -> Bool { buildLeaves(callback) && buildPreview(callback) && buildFinal(callback) } func flattened(_ callback: @escaping () -> Bool = { true }) -> Mesh { flattened(with: material, callback) } func merged(_ callback: @escaping () -> Bool = { true }) -> Mesh { var result = mesh ?? .empty if type.isLeafGeometry { result = result.merge(mergedChildren(callback)) } return result .replacing(nil, with: material) .transformed(by: transform) } } private extension Collection where Element == Geometry { func flattened(with material: Material?, _ callback: @escaping () -> Bool) -> [Mesh] { compactMap { callback() ? $0.flattened(with: material, callback) : nil } } func meshes(with material: Material?, _ callback: @escaping () -> Bool) -> [Mesh] { flatMap { callback() ? $0.meshes(with: material, callback) : [] } } func merged(_ callback: @escaping () -> Bool) -> Mesh { var result = Mesh.empty for child in self where callback() { result = result.merge(child.merged(callback)) } return result } } private extension Geometry { func flattenedChildren(_ callback: @escaping () -> Bool) -> [Mesh] { children.flattened(with: material, callback) } func mergedChildren(_ callback: @escaping () -> Bool) -> Mesh { children.merged(callback) } func flattenedFirstChild(_ callback: @escaping () -> Bool) -> Mesh { children.first.map { $0.flattened(with: self.material, callback) } ?? .empty } func childMeshes(_ callback: @escaping () -> Bool) -> [Mesh] { children.meshes(with: material, callback) } func flattened(with material: Material?, _ callback: @escaping () -> Bool) -> Mesh { .union(meshes(with: material, callback), isCancelled: { !callback() }) } func meshes(with material: Material?, _ callback: @escaping () -> Bool) -> [Mesh] { var meshes = [Mesh]() if var mesh = mesh, mesh != .empty { mesh = mesh.transformed(by: transform) if material != self.material { mesh = mesh.replacing(nil, with: self.material) } meshes.append(mesh) } if type.isLeafGeometry { meshes += childMeshes(callback).map { let mesh = $0.transformed(by: transform) if material != self.material { return mesh.replacing(nil, with: self.material) } return mesh } } return meshes } // Build all geometries that don't have dependencies func buildLeaves(_ callback: @escaping () -> Bool) -> Bool { if type.isLeafGeometry, !buildMesh(callback) { return false } for child in children where !child.buildLeaves(callback) { return false } return true } // With leaves built, do a rough preview func buildPreview(_ callback: @escaping () -> Bool) -> Bool { for child in children where !child.buildPreview(callback) { return false } if let mesh = cache?[mesh: self] { self.mesh = mesh return callback() } switch type { case .extrude([], _), .lathe([], _), .fill([]): mesh = nil case .hull: mesh = nil case .group, .path, .mesh, .cone, .cylinder, .sphere, .cube, .extrude, .lathe, .loft, .fill: assert(type.isLeafGeometry) // Leaves case .stencil, .difference: mesh = children.first?.merged(callback) case .union, .xor, .intersection, .camera, .light: mesh = nil } return callback() } // Build final pass func buildFinal(_ callback: @escaping () -> Bool) -> Bool { for child in children where !child.buildFinal(callback) { return false } if !type.isLeafGeometry { return buildMesh(callback) } return callback() } // Build mesh (without children) func buildMesh(_ callback: @escaping () -> Bool) -> Bool { if let mesh = cache?[mesh: self] { self.mesh = mesh return callback() } let isCancelled = { !callback() } switch type { case .group, .path, .camera, .light: mesh = .empty case let .cone(segments): mesh = .cone(slices: segments) case let .cylinder(segments): mesh = .cylinder(slices: segments) case let .sphere(segments): mesh = .sphere(slices: segments, stacks: segments / 2) case .cube: mesh = .cube() case let .extrude(paths, .default) where paths.count >= 1: mesh = Mesh.extrude(paths, isCancelled: isCancelled).makeWatertight() case let .extrude(paths, options) where paths.count == 1: mesh = Mesh.merge(options.along.map { along in Mesh.extrude( paths[0], along: along, twist: options.twist, align: options.align, isCancelled: isCancelled ).makeWatertight() }) case let .lathe(paths, segments: segments) where paths.count == 1: mesh = Mesh.lathe(paths[0], slices: segments).makeWatertight() case let .loft(paths): mesh = Mesh.loft(paths).makeWatertight() case let .hull(vertices): let meshes = childMeshes(callback) let vertices = vertices + meshes.flatMap { $0.polygons.flatMap { $0.vertices } } mesh = Mesh.convexHull(of: vertices, material: material).makeWatertight() case let .fill(paths): mesh = Mesh.fill(paths.map { $0.closed() }, isCancelled: isCancelled).makeWatertight() case .union, .lathe, .extrude: mesh = Mesh.union(childMeshes(callback), isCancelled: isCancelled).makeWatertight() case .xor: mesh = Mesh.xor(flattenedChildren(callback), isCancelled: isCancelled).makeWatertight() case .difference: let first = flattenedFirstChild(callback) let meshes = [first] + children.dropFirst().meshes(with: material, callback) mesh = Mesh.difference(meshes, isCancelled: isCancelled).makeWatertight() case .intersection: let meshes = flattenedChildren(callback) mesh = Mesh.intersection(meshes, isCancelled: isCancelled).makeWatertight() case .stencil: let first = flattenedFirstChild(callback) let meshes = [first] + children.dropFirst().meshes(with: material, callback) mesh = Mesh.stencil(meshes, isCancelled: isCancelled).makeWatertight() case let .mesh(mesh): self.mesh = mesh } if callback() { if let smoothing = smoothing { mesh = mesh?.smoothNormals(smoothing) } cache?[mesh: self] = mesh return true } return false } func _with( name: String?, transform: Transform?, material: Material?, sourceLocation: (() -> SourceLocation?)? ) -> Geometry { var type = self.type var m = self.material if let material = material, case let .mesh(mesh) = type { m.opacity *= material.opacity m.color = material.color ?? self.material.color m.texture = material.texture ?? self.material.texture type = .mesh(mesh.replacing(self.material, with: m)) } let copy = Geometry( type: type, name: name ?? self.name, transform: transform.map { self.transform * $0 } ?? self.transform, material: m, smoothing: smoothing, children: children.map { $0._with( name: nil, transform: .identity, material: material, sourceLocation: sourceLocation ) }, sourceLocation: _sourceLocation ?? sourceLocation, debug: debug ) copy.mesh = mesh return copy } } private extension Collection where Element == Path { func fixupColors(material: Material) -> ([Path], Material) { guard material.texture == nil else { return (Array(self), material) } var current: Color? for path in self { for point in path.points { if current == nil { current = point.color } else if point.color != current { var material = material material.color = .white return (Array(self), material) } } } var material = material material.color = current ?? material.color return (map { $0.with(color: nil) }, material) } } // MARK: Stats public extension Geometry { var hasMesh: Bool { switch type { case .camera, .light, .path: return false case .cone, .cylinder, .sphere, .cube, .extrude, .lathe, .loft, .fill, .hull, .union, .difference, .intersection, .xor, .stencil, .group, .mesh: return true } } var objectCount: Int { switch type { case .group: return children.reduce(0) { $0 + $1.objectCount } case .camera, .light: return 0 case .cone, .cylinder, .sphere, .cube, .extrude, .lathe, .loft, .fill, .hull, .union, .difference, .intersection, .xor, .stencil, .path, .mesh: return 1 } } var polygonCount: Int { if let mesh = mesh, !mesh.polygons.isEmpty { return mesh.polygons.count } return children.reduce(0) { $0 + $1.polygonCount } } var triangleCount: Int { if let mesh = mesh, !mesh.polygons.isEmpty { return mesh.polygons.reduce(0) { $0 + $1.vertices.count - 2 } } return children.reduce(0) { $0 + $1.triangleCount } } var childCount: Int { switch type { case .cone, .cylinder, .sphere, .cube, .extrude, .lathe, .fill, .loft, .mesh, .path, .camera, .light: return 0 // TODO: should paths/points be treated as children? case .union, .xor, .difference, .intersection, .stencil, .group, .hull: return children.count } } /// Returns the exact bounds with specified transform func exactBounds( with transform: Transform, _ callback: @escaping () -> Bool = { true } ) -> Bounds { switch type { case .camera, .light: return .empty case let .extrude(paths, _) where paths.count >= 1, let .lathe(paths, _) where paths.count >= 1: fallthrough case .cone, .cylinder, .sphere, .cube, .mesh: if transform.rotation == .identity { return type.bounds.transformed(by: transform) } return Bounds(points: type.representativePoints.transformed(by: transform)) case .hull: var bounds = Bounds(points: type.representativePoints.transformed(by: transform)) for child in children { bounds.formUnion(child.exactBounds(with: child.transform * transform)) } return bounds case let .path(path): return path.transformed(by: transform).bounds case let .fill(paths), let .loft(paths): return paths.transformed(by: transform).bounds case .group, .union, .lathe, .extrude: return Bounds(bounds: children.map { $0.exactBounds(with: $0.transform * transform) }) case .xor, .difference, .intersection: _ = build(callback) if transform.rotation == .identity { return mesh?.bounds.transformed(by: transform) ?? .empty } return mesh?.transformed(by: transform).bounds ?? .empty case .stencil: return children.first.map { $0.exactBounds(with: $0.transform * transform) } ?? .empty } } /// Returns the exact bounds transformed to world coordinates @available(*, deprecated, message: "Use exactBounds(with:) instead") var exactBounds: Bounds { if let mesh = mesh, !mesh.polygons.isEmpty { if worldTransform.rotation == .identity { return mesh.bounds.transformed(by: worldTransform) } return mesh.transformed(by: worldTransform).bounds } else if let path = path { return path.bounds } let bounds = children.map { $0.exactBounds } return Bounds(bounds: bounds) } var isWatertight: Bool { if let mesh = mesh, !mesh.polygons.isEmpty { return mesh.isWatertight } return children.reduce(true) { $0 && $1.isWatertight } } } ShapeScript-1.6.14/ShapeScript/GeometryCache.swift000066400000000000000000000035131450355336000220600ustar00rootroot00000000000000// // GeometryCache.swift // ShapeScript Lib // // Created by Nick Lockwood on 06/08/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // import Euclid #if canImport(LRUCache) import LRUCache #endif public final class GeometryCache { private let cache: LRUCache public init(memoryLimit: Int = 1_000_000_000) { cache = LRUCache(totalCostLimit: memoryLimit) } } extension GeometryCache { struct Key: Hashable { let type: GeometryType let material: Material? let smoothing: Angle? let transform: Transform let flipped: Bool let children: [Key] } subscript(mesh geometry: Geometry) -> Mesh? { get { cache.value(forKey: geometry.cacheKey)?.mesh } set { guard let newValue = newValue else { cache.removeValue(forKey: geometry.cacheKey) return } cache.setValue( (newValue, [:]), forKey: geometry.cacheKey, cost: newValue.memoryUsage ) } } subscript(associatedData geometry: Geometry) -> Any? { get { cache.value(forKey: geometry.cacheKey)? .associatedData[geometry.material] } set { if var value = cache.value(forKey: geometry.cacheKey) { value.associatedData[geometry.material] = newValue cache.setValue(value, forKey: geometry.cacheKey) } } } } private extension Mesh { var memoryUsage: Int { let vertexSize = MemoryLayout.stride let polygonSize = 512 // Estimated return polygons.reduce(0) { count, polygon in count + polygonSize + polygon.vertices.count * vertexSize } } } ShapeScript-1.6.14/ShapeScript/GeometryType.swift000066400000000000000000000214061450355336000217770ustar00rootroot00000000000000// // GeometryType.swift // ShapeScript Lib // // Created by Nick Lockwood on 12/08/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // import Euclid public struct Camera: Hashable { public var position: Vector? public var orientation: Rotation? public var scale: Vector? public var background: MaterialProperty? public var fov: Angle? public var width: Double? public var height: Double? } public extension Camera { var hasPosition: Bool { position != nil } var hasOrientation: Bool { orientation != nil } var hasScale: Bool { scale != nil } } public struct Light: Hashable { public var position: Vector? public var orientation: Rotation? public var color: Color public var spread: Angle public var penumbra: Double } public extension Light { var hasPosition: Bool { position != nil } var hasOrientation: Bool { orientation != nil } } public struct ExtrudeOptions: Hashable { public var along: [Path] public var twist: Angle public var align: Path.Alignment public static let `default`: Self = .init() init(along: [Path] = [], twist: Angle? = nil, align: Path.Alignment? = nil) { self.along = along self.twist = twist ?? .zero self.align = (along.isEmpty ? nil : align) ?? .default } } public enum GeometryType: Hashable { case group // primitives case cone(segments: Int) case cylinder(segments: Int) case sphere(segments: Int) case cube // builders case extrude([Path], ExtrudeOptions) case lathe([Path], segments: Int) case loft([Path]) case fill([Path]) case hull([Vertex]) // csg case union case difference case intersection case xor case stencil // shapes case path(Path) case mesh(Mesh) // special case camera(Camera) case light(Light) } public extension GeometryType { var isEmpty: Bool { switch self { case .union, .xor, .difference, .intersection, .stencil, .group, .camera, .light: return true case .cone, .cylinder, .sphere, .cube: return false case let .extrude(shapes, _), let .lathe(shapes, _), let .loft(shapes), let .fill(shapes): return shapes.isEmpty || shapes.allSatisfy { $0.points.count < 2 } case let .hull(points): return points.count < 2 case let .path(path): return path.points.count < 2 case let .mesh(mesh): return mesh.polygons.isEmpty } } /// Returns exact bounds, not including the effect of child shapes var bounds: Bounds { switch self { case .union, .xor, .difference, .intersection, .stencil, .group, .camera, .light: return .empty case .cube: return .init(min: .init(-0.5, -0.5, -0.5), max: .init(0.5, 0.5, 0.5)) case let .cone(segments), let .cylinder(segments), let .sphere(segments): let bounds = Path.circle(segments: segments).bounds .rotated(by: .roll(-.halfPi)) return Bounds( min: .init(bounds.min.x, -0.5, bounds.min.y), max: .init(bounds.max.x, 0.5, bounds.max.y) ) case let .extrude(paths, .default): return paths.reduce(into: .empty) { bounds, path in let offset = path.faceNormal / 2 let pathBounds = path.bounds bounds.formUnion(pathBounds.translated(by: offset)) bounds.formUnion(pathBounds.translated(by: -offset)) } case let .extrude(paths, options): return paths.flatMap { path in options.along.flatMap { along in path.extrusionContours( along: along, twist: options.twist, align: options.align ) } }.bounds case let .lathe(paths, segments): return .init(bounds: paths.map { path in let profileBounds = path.latheProfile.bounds let diameter = abs(profileBounds.min.x) * 2 let bounds = Path.circle(segments: segments).bounds .scaled(by: diameter) .rotated(by: .roll(-.halfPi)) .rotated(by: .pitch(.halfPi)) return bounds.translated(by: profileBounds.min.y * .unitY) .union(bounds.translated(by: profileBounds.max.y * .unitY)) }) case let .loft(paths), let .fill(paths): return .init(bounds: paths.map { $0.bounds }) case let .hull(vertices): return .init(points: vertices.map { $0.position }) case let .path(path): return path.bounds case let .mesh(mesh): return mesh.bounds } } } extension GeometryType { var isLeafGeometry: Bool { switch self { case let .extrude(paths, _), let .lathe(paths, _): return !paths.isEmpty case .cone, .cylinder, .sphere, .cube, .loft, .path, .mesh, .fill, .group, .camera, .light: return true case .hull, .union, .xor, .difference, .intersection, .stencil: return false } } /// Returns representative points needed to generate exact bounds var representativePoints: [Vector] { switch self { case .union, .xor, .difference, .intersection, .stencil, .group, .camera, .light: return [] case .cube: return [ Vector(-0.5, -0.5, -0.5), Vector(0.5, -0.5, -0.5), Vector(0.5, 0.5, -0.5), Vector(-0.5, 0.5, -0.5), Vector(-0.5, -0.5, 0.5), Vector(0.5, -0.5, 0.5), Vector(0.5, 0.5, 0.5), Vector(-0.5, 0.5, 0.5), ] case let .cone(segments): let points = Path.circle(segments: segments) .rotated(by: .roll(-.halfPi)) .rotated(by: .pitch(.halfPi)) .pointPositions return points.translated(by: Vector(0, -0.5, 0)) + [Vector(0, 0.5, 0)] case let .cylinder(segments): let points = Path.circle(segments: segments) .rotated(by: .roll(-.halfPi)) .rotated(by: .pitch(.halfPi)) .pointPositions return points.translated(by: Vector(0, -0.5, 0)) + points.translated(by: Vector(0, 0.5, 0)) case let .sphere(segments): let stacks = max(2, segments / 2) return GeometryType .lathe([.arc(segments: stacks)], segments: stacks) .representativePoints case let .extrude(paths, .default): return paths.reduce(into: []) { vertices, path in let offset = path.faceNormal / 2 let points = path.pointPositions vertices += points.translated(by: offset) + points.translated(by: -offset) } case let .extrude(paths, options): return paths.flatMap { path in options.along.flatMap { along in path.extrusionContours( along: along, twist: options.twist, align: options.align ).flatMap { $0.pointPositions } } } case let .lathe(paths, segments): return paths.flatMap { path -> [Vector] in let profile = path.latheProfile return profile.pointPositions.flatMap { point -> [Vector] in let diameter = abs(point.x) * 2 let circle = Path.circle(segments: segments) .scaled(by: diameter) .rotated(by: .roll(-.halfPi)) .rotated(by: .pitch(.halfPi)) return circle .translated(by: point.y * .unitY) .pointPositions } } case let .loft(paths), let .fill(paths): return paths.flatMap { $0.pointPositions } case let .hull(vertices): // Note that this does not include child mesh vertices return vertices.map { $0.position } case let .path(path): return path.pointPositions case let .mesh(mesh): return mesh.vertexPositions } } } private extension Path { var pointPositions: [Vector] { points.map { $0.position } } } private extension Mesh { var vertexPositions: [Vector] { // TODO: find more efficient way to calculate this Array(Set(polygons.flatMap { $0.vertices.map { $0.position } })) } } ShapeScript-1.6.14/ShapeScript/Info.plist000066400000000000000000000015241450355336000202330ustar00rootroot00000000000000 CFBundleDevelopmentRegion $(DEVELOPMENT_LANGUAGE) CFBundleExecutable $(EXECUTABLE_NAME) CFBundleIdentifier $(PRODUCT_BUNDLE_IDENTIFIER) CFBundleInfoDictionaryVersion 6.0 CFBundleName $(PRODUCT_NAME) CFBundlePackageType FMWK CFBundleShortVersionString $(MARKETING_VERSION) CFBundleVersion $(CURRENT_PROJECT_VERSION) NSHumanReadableCopyright Copyright © 2018 Nick Lockwood. All rights reserved. ShapeScript-1.6.14/ShapeScript/Interpreter.swift000066400000000000000000001654511450355336000216560ustar00rootroot00000000000000// // Interpreter.swift // ShapeScript // // Created by Nick Lockwood on 26/09/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // import Euclid import Foundation // MARK: Public interface public let version = "1.6.14" public protocol EvaluationDelegate: AnyObject { func resolveURL(for path: String) -> URL func importGeometry(for url: URL) throws -> Geometry? func debugLog(_ values: [AnyHashable]) } public func evaluate( _ program: Program, delegate: EvaluationDelegate?, cache: GeometryCache? = GeometryCache(), isCancelled: @escaping () -> Bool = { false } ) throws -> Scene { let context = EvaluationContext( source: program.source, delegate: delegate, isCancelled: isCancelled ) try program.evaluate(in: context) return Scene( background: context.background ?? .color(.clear), children: context.children.compactMap { $0.value as? Geometry }, cache: cache ) } public enum RuntimeErrorType: Error, Equatable { case unknownSymbol(String, options: [String]) case unknownMember(String, of: String, options: [String]) case unknownFont(String, options: [String]) case typeMismatch(for: String, index: Int, expected: String, got: String) case forwardReference(String) case unexpectedArgument(for: String, max: Int) case missingArgument(for: String, index: Int, type: String) case unusedValue(type: String) case assertionFailure(String) case fileNotFound(for: String, at: URL?) case fileTimedOut(for: String, at: URL) case fileAccessRestricted(for: String, at: URL) case fileTypeMismatch(for: String, at: URL, expected: String?) case fileParsingError(for: String, at: URL, message: String) case circularImport(for: URL) indirect case importError(ProgramError, for: URL?, in: String) } public struct RuntimeError: Error, Equatable { public let type: RuntimeErrorType public let range: SourceRange public init(_ type: RuntimeErrorType, at range: SourceRange) { self.type = type self.range = range } } public extension RuntimeError { var message: String { switch type { case let .unknownSymbol(name, _): if Keyword(rawValue: name) == nil, Symbols.all[name] == nil, name != "option" { return "Unknown symbol '\(name)'" } return "Unexpected symbol '\(name)'" case let .unknownMember(name, type, _): return "Unknown \(type) member property '\(name)'" case let .unknownFont(name, _): return name.isEmpty ? "Font name cannot be blank" : "Unknown font '\(name)'" case .typeMismatch: return "Type mismatch" case .forwardReference: return "Forward reference" case .unexpectedArgument: return "Unexpected argument" case .missingArgument: return "Missing argument" case .unusedValue: return "Unused value" case .assertionFailure: return "Assertion failure" case let .fileNotFound(for: name, _): guard !name.isEmpty else { return "Empty file name" } return "File '\(name)' not found" case let .fileTimedOut(for: name, _): return "File '\(name)' timed out" case let .fileAccessRestricted(for: name, _): return "Unable to access file '\(name)'" case let .fileParsingError(for: name, _, _), let .fileTypeMismatch(for: name, _, _): return "Unable to open file '\(name)'" case .circularImport: return "Circular import" case let .importError(error, for: url, _): if case let .runtimeError(error) = error, case .importError = error.type { return error.message } let name = url.map { " '\($0.lastPathComponent)'" } ?? "" let error = error.range.map { _ in ": \(error.message)" } ?? "" return "Error in imported file\(name)\(error)" } } var suggestion: String? { switch type { case let .unknownSymbol(name, options), let .unknownMember(name, _, options): let alternative = Self.alternatives[name.lowercased()]? .first(where: { options.contains($0) || Keyword(rawValue: $0) != nil }) if Symbols.all[name] != nil { return alternative } return alternative ?? name.bestMatches(in: options).first case let .unknownFont(name, options): return name.bestMatches(in: options).first case .typeMismatch, .forwardReference, .unexpectedArgument, .missingArgument, .unusedValue, .assertionFailure, .fileNotFound, .fileTimedOut, .fileAccessRestricted, .fileTypeMismatch, .fileParsingError, .circularImport, .importError: return nil } } var hint: String? { func nthArgument(_ index: Int) -> String { switch index { case 0 ..< String.ordinals.count: return "\(String.ordinals[index]) argument" default: return "argument" } } func theSymbol(_ name: String) -> String { if name.components(separatedBy: " ").count == 2 { return "The \(name)" } else if name.isEmpty { return "Symbol" } else if let symbol = Symbols.all[name] { return "The \(name) \(symbol.errorDescription)" } return "The \(name) symbol" } func formatMessage(_ message: String) -> String? { guard let last = message.last else { return nil } if ".?!".contains(last) { return message } return "\(message)." } switch type { case let .unknownSymbol(name, _): var hint = "" if let symbol = Symbols.all[name] { hint = "The \(name) \(symbol.errorDescription) is not available in this context." } else if Keyword(rawValue: name) != nil || name == "option" { hint = "The \(name) command is not available in this context." } if let suggestion = suggestion { hint += (hint.isEmpty ? "" : " ") + "Did you mean '\(suggestion)'?" } return hint case .unknownMember: return suggestion.map { "Did you mean '\($0)'?" } case .unknownFont: if let suggestion = suggestion { return "Did you mean '\(suggestion)'?" } return "" case let .typeMismatch(for: name, index: i, expected: type, got: got): let name = [ "if condition", "loop bounds", "step value", ].contains(name) ? name : "\(nthArgument(i)) for \(name)" let got = got.contains(",") ? got : aOrAn(got) return "The \(name) should be \(aOrAn(type)), not \(got)." case let .forwardReference(name): return "The symbol '\(name)' was used before it was defined." case let .unexpectedArgument(for: name, max: max): if max == 0 { return "\(theSymbol(name)) does not expect any arguments." } else if max == 1 { return "\(theSymbol(name)) expects only a single argument." } else { return "\(theSymbol(name)) expects a maximum of \(max) arguments." } case let .missingArgument(for: name, index: i, type: type): let type = (type == ValueType.any.errorDescription) ? "" : " of type \(type)" return "\(theSymbol(name)) expects \(aOrAn(nthArgument(i > 0 ? i : -1)))\(type)." case let .unusedValue(type: type): return "\(aOrAn(type, capitalized: true)) value was not expected in this context." case let .assertionFailure(message): return formatMessage(message) case let .fileNotFound(for: name, at: url): guard let url = url else { return nil } if name == url.path { return "Check that the file exists and is located here." } return "ShapeScript expected to find the file at '\(url.path)'." + " Check that it exists and is located here." case let .fileTimedOut(for: _, at: url): return "ShapeScript was unable to download the file at '\(url.path)'." + " Check your network settings." case let .fileAccessRestricted(for: _, at: url): return "ShapeScript cannot read the file due to \(Self.osName) security restrictions." + " Please open the directory at '\(url.path)' to grant access." case let .fileParsingError(for: _, at: _, message: message): return formatMessage(message) case let .fileTypeMismatch(for: _, at: url, expected: type): guard let type = type else { return "The type of file at '\(url.path)' is not supported." } return "The file at '\(url.path)' is not \(aOrAn(type)) file." case .circularImport: return "Files cannot import themselves." case let .importError(error, for: _, in: _): if error.range == nil { return error.message } return error.hint } } var accessErrorURL: URL? { switch type { case let .fileAccessRestricted(for: _, at: url): return url case let .importError(error, _, _): return error.accessErrorURL case .typeMismatch, .forwardReference, .unexpectedArgument, .missingArgument, .unusedValue, .assertionFailure, .fileNotFound, .fileTimedOut, .fileTypeMismatch, .fileParsingError, .circularImport, .unknownSymbol, .unknownMember, .unknownFont: return nil } } static func wrap(_ fn: @autoclosure () throws -> T, at range: SourceRange) throws -> T { do { return try fn() } catch let error as RuntimeErrorType { throw RuntimeError(error, at: range) } } } // MARK: Implementation private struct EvaluationCancelled: Error {} private func aOrAn(_ string: String, capitalized: Bool = false) -> String { guard let first = string.first else { return capitalized ? "An" : "an" } let beginsWithVowel = "AEIOUaeiou".contains(first) let prefix = beginsWithVowel ? "an" : "a" return "\(capitalized ? prefix.capitalized : prefix) \(string)" } private extension Array where Element == String { var typesDescription: String { var types = Set(self).sorted() if let index = types.firstIndex(of: "block") { types.append(types.remove(at: index)) } switch types.count { case 1: return types[0] case 2: return "\(types[0]) or \(types[1])" default: return "\(types.dropLast().joined(separator: ", ")), or \(types.last!)" } } } extension RuntimeErrorType { static func typeMismatch( for symbol: String, expected: String, got: String ) -> RuntimeErrorType { .typeMismatch(for: symbol, index: -1, expected: expected, got: got) } static func typeMismatch( for symbol: String, index: Int = -1, expected types: [String], got: String ) -> RuntimeErrorType { let expected = types.typesDescription return .typeMismatch(for: symbol, index: index, expected: expected, got: got) } static func typeMismatch( for name: String, index: Int = -1, expected: ValueType, got: ValueType ) -> RuntimeErrorType { let typeDescription: String switch expected { case let .list(type): typeDescription = type.errorDescription case let .tuple(types) where !types.isEmpty: typeDescription = types[0].errorDescription default: typeDescription = expected.errorDescription } return typeMismatch( for: name, index: index, expected: typeDescription, got: got.errorDescription ) } static func missingArgument( for symbol: String, type: String ) -> RuntimeErrorType { .missingArgument(for: symbol, index: 0, type: type) } static func missingArgument( for symbol: String, index: Int = 0, types: [String] ) -> RuntimeErrorType { let expected = types.typesDescription return .missingArgument(for: symbol, index: index, type: expected) } static func missingArgument( for name: String, index: Int = 0, type: ValueType ) -> RuntimeErrorType { let typeDescription: String switch type { case let .list(type): typeDescription = type.errorDescription case let .tuple(types) where !types.isEmpty: typeDescription = types[0].errorDescription default: typeDescription = type.errorDescription } return missingArgument(for: name, index: index, type: typeDescription) } static func unusedValue(type: ValueType) -> RuntimeErrorType { let typeDescription: String switch type { case let .list(type): typeDescription = type.errorDescription default: typeDescription = type.errorDescription } return unusedValue(type: typeDescription) } } private extension RuntimeError { static let alternatives: [String: [String]] = [ "box": ["cube"], "rect": ["square"], "rectangle": ["square"], "triangle": ["polygon"], "ellipse": ["circle"], "elipse": ["circle"], "squircle": ["roundrect"], "rotate": ["orientation"], "rotation": ["orientation"], "orientation": ["rotate"], "translate": ["position"], "translation": ["position"], "position": ["translate", "bounds", "center"], "faces": ["polygons"], "triangles": ["polygons"], "vertices": ["points"], "scale": ["size"], "size": ["scale", "bounds"], "width": ["size", "x"], "height": ["size", "y"], "depth": ["size", "z"], "length": ["size", "count"], "magnitude": ["length"], "norm": ["length"], "radius": ["size"], "sine": ["sin"], "cosine": ["cos"], "x": ["width", "position"], "y": ["height", "position"], "z": ["depth", "position"], "option": ["define"], "subtract": ["difference"], "subtraction": ["difference"], "sweep": ["extrude"], "head": ["first"], "tail": ["last", "allButFirst"], "rest": ["allButFirst"], "rands": ["rnd", "seed"], "rand": ["rnd"], "random": ["rnd"], "noise": ["rnd"], "signum": ["sign"], "echo": ["print"], ].merging(ParserError.alternatives.mapValues { [$0] }) { $1 } static let osName: String = { #if os(macOS) || targetEnvironment(macCatalyst) return "macOS" #elseif os(tvOS) return "tvOS" #elseif os(iOS) return "iOS" #else return "system" #endif }() } extension Program { func evaluate(in context: EvaluationContext) throws { let oldSource = context.source let oldSourceIndex = context.sourceIndex context.source = source context.sourceIndex = nil defer { context.source = oldSource context.sourceIndex = oldSourceIndex } statements.gatherDefinitions(in: context) do { try statements.forEach { try $0.evaluate(in: context) } } catch is EvaluationCancelled {} } } private func evaluateParameters( _ parameters: [Expression], in context: EvaluationContext ) throws -> [(index: Int, value: Value)] { var values = [(Int, Value)]() loop: for (i, param) in parameters.enumerated() { guard i < parameters.count - 1, case let .identifier(name) = param.type, let symbol = context.symbol(for: name) else { try values.append((i, param.evaluate(in: context))) continue } switch symbol { case let .function((parameterType, _), fn) where parameterType != .void: let identifier = Identifier(name: name, range: param.range) let range = parameters[i + 1].range.lowerBound ..< parameters.last!.range.upperBound let param = Expression(type: .tuple(Array(parameters[(i + 1)...])), range: range) let arg = try evaluateParameter(param, as: parameterType, for: identifier, in: context) try RuntimeError.wrap({ do { switch try fn(arg, context) { case let .tuple(tuple): values += tuple.map { (i, $0) } case let value: values.append((i, value)) } } catch let RuntimeErrorType.unexpectedArgument(for: "", max: max) { throw RuntimeErrorType.unexpectedArgument(for: name, max: max) } catch let RuntimeErrorType.missingArgument(for: "", index: index, type: type) { throw RuntimeErrorType.missingArgument(for: name, index: index, type: type) } }(), at: range) break loop case let .block(type, fn) where type.childTypes != .void: let parameters = Array(parameters[(i + 1)...]) let childContext = context.push(type) childContext.userSymbols.removeAll() let identifier = Identifier(name: name, range: param.range) try evaluateBlockParameters( parameters, for: identifier, type: type, in: context, childContext ) try RuntimeError.wrap(values.append((i, fn(childContext))), at: param.range) break loop case .function, .block, .property, .constant, .option, .placeholder: try values.append((i, param.evaluate(in: context))) } } return values } private func evaluateBlockParameters( _ parameters: [Expression], for identifier: Identifier, type: BlockType, in context: EvaluationContext, _ childContext: EvaluationContext ) throws { guard let first = parameters.first, let last = parameters.last else { return } let range = first.range.lowerBound ..< last.range.upperBound let children: [(Int, Value)] if type.childTypes.subtypes.contains(.text) { let param = Expression(type: .tuple(parameters), range: range) do { children = try [(0, param.evaluate(as: .text, for: identifier.name, in: context))] } catch { children = try evaluateParameters(parameters, in: context) } } else { children = try evaluateParameters(parameters, in: context) } for (j, child) in children { do { try childContext.addValue(child) } catch { var types = type.childTypes.subtypes.map { $0.errorDescription } if j == 0 { types.append("block") } throw RuntimeError( .typeMismatch( for: identifier.name, index: j > 0 ? j : -1, expected: types, got: child.type.errorDescription ), at: j < parameters.count ? parameters[j].range : range ) } } } // TODO: find a better way to encapsulate this private func evaluateParameter(_ parameter: Expression?, as type: ValueType, for identifier: Identifier, in context: EvaluationContext) throws -> Value { let (name, range) = (identifier.name, identifier.range) guard let parameter = parameter else { if type == .void { return .void } throw RuntimeError( .missingArgument(for: name, type: type), at: range.upperBound ..< range.upperBound ) } return try parameter.evaluate(as: type, for: identifier.name, in: context) } extension Definition { func evaluate(in context: EvaluationContext) throws -> Symbol { switch type { case let .expression(expression): let context = context.pushDefinition() let value = try expression.evaluate(in: context) switch value { case .tuple: return .constant(value) default: // Wrap all definitions as a single-value tuple // so that ordinal access and looping will work return .constant(.tuple([value])) } case let .function(names, block): let declarationContext = context let returnType: ValueType var params = Dictionary(uniqueKeysWithValues: names.map { ($0.name, ValueType.any) }) do { let context = context.push(.custom(.all, [:], .any, .any)) block.inferTypes(for: ¶ms, in: context) for (name, type) in params { context.define(name, as: .placeholder(type)) } returnType = try block.staticType(in: context) } let paramTypes = names.map { params[$0.name] ?? .any } return .function(.tuple(paramTypes), returnType) { value, context in do { let oldChildren = context.children let oldChildTypes = context.childTypes let oldSymbols = context.userSymbols let oldSource = context.source let oldBaseURL = context.baseURL context.children = [] context.childTypes = .any context.source = declarationContext.source context.baseURL = declarationContext.baseURL context.userSymbols = declarationContext.userSymbols context.stackDepth += 1 defer { context.children = oldChildren context.childTypes = oldChildTypes context.source = oldSource context.baseURL = oldBaseURL context.userSymbols = oldSymbols context.stackDepth -= 1 } if context.stackDepth > 25 { throw RuntimeErrorType.assertionFailure("Too much recursion") } let values: [Value] if case let .tuple(_values) = value { values = _values } else { values = [value] } assert(values.count == names.count) for (identifier, value) in zip(names, values) { context.define(identifier.name, as: .constant(value)) } try block.evaluate(in: context) if context.children.count == 1 { return context.children[0] } return .tuple(context.children) } catch { if declarationContext.baseURL == context.baseURL { throw error } throw RuntimeErrorType.importError( ProgramError(error), for: declarationContext.baseURL, in: declarationContext.source ) } } case let .block(block): var options: Options? = [:] let returnType: ValueType do { let context = context.push(.custom(.definition, [:], .void, .any)) returnType = try block.staticType(in: context, options: &options) } catch var error as RuntimeError { if case let .unknownSymbol(name, options: options) = error.type { // TODO: find a less hacky way to limit the scope of option keyword error = RuntimeError( .unknownSymbol(name, options: options + ["option"]), at: error.range ) } throw error } let source = context.source let sourceIndex = context.sourceIndex let baseURL = context.baseURL return .block(.custom(.user, options ?? [:], .void, returnType)) { _context in do { let context = context.pushDefinition() context.stackDepth = _context.stackDepth + 1 if context.stackDepth > 25 { throw RuntimeErrorType.assertionFailure("Too much recursion") } for (name, symbol) in _context.userSymbols { switch symbol { case .option: // Only options are copied from call scope context.define(name, as: symbol) case .block, .function, .property, .constant, .placeholder: break } } context.children += _context.children context.name = _context.name context.material = _context.material context.font = _context.font context.transform = _context.transform context.opacity = _context.opacity context.detail = _context.detail context.smoothing = _context.smoothing context.baseURL = baseURL context.source = source context.sourceIndex = sourceIndex block.statements.gatherDefinitions(in: context) for statement in block.statements { if case let .option(identifier, expression) = statement.type { if case .option? = context.symbol(for: identifier.name) { // Ignore default } else { try context.define( identifier.name, as: .constant(expression.evaluate(in: context)) ) } } else { try statement.evaluate(in: context) } } let children = context.children if children.count == 1, let value = children.first { switch value { case let .path(path): guard context.name.isEmpty else { return .mesh(Geometry( type: .path(path), name: context.name, transform: context.transform, material: .default, smoothing: nil, children: [], sourceLocation: context.sourceLocation )) } return .path(path.transformed(by: context.transform)) case let .mesh(geometry): return .mesh(Geometry( type: geometry.type, name: context.name, transform: geometry.transform * context.transform, material: geometry.material, smoothing: geometry.smoothing, children: geometry.children, sourceLocation: context.sourceLocation, debug: geometry.debug )) case let .polygon(polygon): return .polygon(polygon.transformed(by: context.transform)) default: if context.name.isEmpty { return value } throw RuntimeErrorType.assertionFailure( "Blocks that return \(aOrAn(value.errorDescription)) " + "value cannot be assigned a name" ) } } else if context.name.isEmpty, // Manage backwards compatibility for blocks that return // multiple meshes to be used inside difference block !children.contains(where: { $0.type == .mesh }) || children.contains(where: { ![.mesh, .path].contains($0.type) }) { return .tuple(children.map { switch $0 { case let .path(path): return .path(path.transformed(by: context.transform)) case let .mesh(geometry): return .mesh(geometry.transformed(by: context.transform)) default: return $0 } }) } return try .mesh(Geometry( type: .group, name: context.name, transform: context.transform, material: .default, smoothing: context.smoothing, children: children.map { switch $0 { case let .path(path): return Geometry( type: .path(path), name: nil, transform: .identity, material: .default, smoothing: nil, children: [], sourceLocation: context.sourceLocation ) case let .mesh(geometry): return geometry default: throw RuntimeErrorType.assertionFailure( "Blocks that return \(aOrAn($0.errorDescription)) " + "value cannot be assigned a name" ) } }, sourceLocation: context.sourceLocation )) } catch var error { if let e = error as? RuntimeError, case let .unknownSymbol(name, options: options) = e.type { // TODO: find a less hacky way to limit the scope of option keyword error = RuntimeError( .unknownSymbol(name, options: options + ["option"]), at: e.range ) } if baseURL == _context.baseURL { throw error } throw RuntimeErrorType.importError( ProgramError(error), for: baseURL, in: source ) } } } } } extension EvaluationContext { func addValue(_ value: Value) throws { if let value = try value.as(childTypes, in: self) { switch value { case let .mesh(m): children.append(.mesh(m.transformed(by: childTransform))) case let .vector(v): children.append(.vector(v.transformed(by: childTransform))) case let .point(p): children.append(.point(p.transformed(by: childTransform))) case let .polygon(p): children.append(.polygon(p .transformed(by: childTransform) .with(material: material) )) case let .path(path): children.append(.path(path.transformed(by: childTransform))) case _ where childTypes.subtypes.contains(.text): children.append(.text(TextValue( string: value.stringValue, font: self.value(for: "font")?.stringValue ?? font, color: material.color, linespacing: self.value(for: "linespacing")?.doubleValue ))) case .void: break default: children.append(value) } } else if case let .tuple(values) = value { try values.forEach(addValue) } else { throw RuntimeErrorType.unusedValue(type: value.type) } } } extension Block { func evaluate(in context: EvaluationContext) throws { statements.gatherDefinitions(in: context) try statements.forEach { try $0.evaluate(in: context) } } } extension Statement { func evaluate(in context: EvaluationContext) throws { let sourceIndex = context.sourceIndex context.sourceIndex = range.lowerBound defer { context.sourceIndex = sourceIndex } switch type { case let .command(identifier, parameter): var name = identifier.name if let type = context.options[name] ?? { if name == "colour", let type = context.options["color"] { name = "color" return type } return nil }() { return try context.define(name, as: .option( evaluateParameter(parameter, as: type, for: identifier, in: context) )) } guard let symbol = context.symbol(for: name) else { throw RuntimeError( .unknownSymbol(name, options: context.commandSymbols), at: identifier.range ) } switch symbol { case let .function((parameterType, _), fn): let argument = try evaluateParameter(parameter, as: parameterType, for: identifier, in: context) try RuntimeError.wrap(context.addValue(fn(argument, context)), at: range) case let .property(type, setter, getter): if parameter == nil { let value = try RuntimeError.wrap(getter(context), at: range) do { return try RuntimeError.wrap(context.addValue(value), at: range) } catch let error as RuntimeError { guard case .unusedValue = error.type else { throw error } } } let argument = try evaluateParameter(parameter, as: type, for: identifier, in: context) try RuntimeError.wrap(setter(argument, context), at: range) case let .block(type, fn): if let parameter = parameter { let parameters: [Expression] if case let .tuple(expressions) = parameter.type { parameters = expressions } else { parameters = [parameter] } let childContext = context.push(type) childContext.userSymbols.removeAll() try evaluateBlockParameters( parameters, for: identifier, type: type, in: context, childContext ) try RuntimeError.wrap(context.addValue(fn(childContext)), at: range) } else if !type.childTypes.isOptional { throw RuntimeError(.missingArgument( for: name, types: type.childTypes.subtypes.map { $0.errorDescription } + ["block"] ), at: range.upperBound ..< range.upperBound) } else { let childContext = context.push(type) childContext.userSymbols.removeAll() try RuntimeError.wrap(context.addValue(fn(childContext)), at: range) } case let .constant(value), let .option(value): var value = value if let parameter = parameter { value = try .tuple([value, parameter.evaluate(in: context)]) } try RuntimeError.wrap(context.addValue(value), at: range) case .placeholder: throw RuntimeError(.forwardReference(name), at: identifier.range) } case let .expression(expression): try RuntimeError.wrap(context.addValue(expression.evaluate(in: context)), at: range) case let .define(identifier, definition): switch definition.type { case let .function(names, _): // In case of recursion let parameterType: ValueType = names.count == 1 ? .any : .tuple(names.map { _ in .any }) context.define(identifier.name, as: .function((parameterType, .any)) { _, _ in .void }) case .block: // In case of recursion context.define(identifier.name, as: .block(.custom([:], [:], .void, .any)) { _ in .void }) case .expression: break } try context.define(identifier.name, as: definition.evaluate(in: context)) case .option: throw RuntimeError(.unknownSymbol("option", options: []), at: range) case let .forloop(identifier, in: expression, block): let value = try expression.evaluate(in: context) // TODO: evaluate(as: .sequence, ...) should be enough to make the below check // unneccessary, however because can always be cast to .list() // it isn't. Need to find a static solution for this (or abandon this check) guard let sequence = value.sequenceValue else { throw RuntimeError( .typeMismatch( for: "loop bounds", expected: .sequence, got: value.type ), at: expression.range ) } for value in sequence { if context.isCancelled() { throw EvaluationCancelled() } try context.pushScope { context in if let name = identifier?.name { context.define(name, as: .constant(value)) } try block.evaluate(in: context) } } case let .ifelse(condition, body, else: elseBody): let value = try condition.evaluate( as: .boolean, for: "if condition", in: context ) try context.pushScope { context in if value.boolValue { try body.evaluate(in: context) } else if let elseBody = elseBody { try elseBody.evaluate(in: context) } } case let .import(expression): let pathValue = try expression.evaluate( as: .string, for: Keyword.import.rawValue, in: context ) let path = pathValue.stringValue context.sourceIndex = expression.range.lowerBound try RuntimeError.wrap(context.importFile(at: path), at: expression.range) } } } extension Expression { func evaluate(in context: EvaluationContext) throws -> Value { switch type { case let .number(number): return .number(number) case let .string(string): return .string(string) case let .color(color): return .color(color) case let .identifier(name): guard let symbol = context.symbol(for: name) else { throw RuntimeError( .unknownSymbol(name, options: context.expressionSymbols), at: range ) } switch symbol { case let .function((.void, _), fn): return try RuntimeError.wrap(fn(.void, context), at: range) case let .function((parameterType, _), _): // Functions with parameters can't be called without arguments throw RuntimeError(.missingArgument( for: name, type: parameterType ), at: range.upperBound ..< range.upperBound) case let .property(_, _, getter): return try RuntimeError.wrap(getter(context), at: range) case let .block(type, fn): guard type.childTypes.isOptional else { // Blocks that require children can't be called without arguments throw RuntimeError(.missingArgument( for: name, types: type.childTypes.subtypes.map { $0.errorDescription } + ["block"] ), at: range.upperBound ..< range.upperBound) } return try RuntimeError.wrap(fn(context.push(type)), at: range) case let .constant(value), let .option(value): return value case .placeholder: throw RuntimeError(.forwardReference(name), at: range) } case let .block(identifier, block): let (name, range) = (identifier.name, identifier.range) guard let symbol = context.symbol(for: name) else { throw RuntimeError( .unknownSymbol(name, options: context.expressionSymbols), at: range ) } switch symbol { case let .block(type, fn): if context.isCancelled() { throw EvaluationCancelled() } let newContext = context.push(type) defer { // TODO: find better solution for this context.background = newContext.background } try newContext.pushScope { newContext in block.statements.gatherDefinitions(in: newContext) for statement in block.statements { try statement.evaluate(in: newContext) } } return try RuntimeError.wrap(fn(newContext), at: range) case let .constant(value), let .option(value): guard let value = value.as(.list(.path)) ?? value.as(.list(.mesh)), case let .tuple(values) = value else { fallthrough } let sourceIndex = context.sourceIndex let newContext = context.push(.custom(.transform, [:], .mesh, value.type)) block.statements.gatherDefinitions(in: newContext) for statement in block.statements { try statement.evaluate(in: newContext) } newContext.sourceIndex = sourceIndex if values.first?.type == .path { return .tuple(values.map { .path(($0.value as! Path).transformed(by: newContext.transform)) }) } return .tuple(values.map { .mesh(($0.value as! Geometry).transformed(by: newContext.transform)) }) case .property, .function((.void, _), _): throw RuntimeError( .unexpectedArgument(for: name, max: 0), at: block.range ) case let .function((type, _), _): throw RuntimeError(.typeMismatch( for: name, expected: type.errorDescription, got: "block" ), at: block.range) case .placeholder: throw RuntimeError(.forwardReference(name), at: identifier.range) } case let .tuple(expressions): guard let identifier = expressions.first, case let .identifier(name) = identifier.type, let type = context.options[name], expressions.count > 1 else { return try .tuple(evaluateParameters(expressions, in: context).map { $0.value }) } let params = Array(expressions.dropFirst()) let param = Expression( type: .tuple(params), range: params[0].range.lowerBound ..< params.last!.range.upperBound ) let value = try param.evaluate(as: type, for: name, in: context) context.define(name, as: .option(value)) return .void case let .prefix(op, expression): let value = try expression.evaluate( as: .union([.number, .list(.number)]), for: String(op.rawValue), in: context ) switch op { case .minus: switch value { case let .tuple(values): return .tuple(values.map { .number(-$0.doubleValue) }) case let .number(value): return .number(-value) default: assertionFailure() return value } case .plus: return value } case let .infix(lhs, .to, rhs): let start = try lhs.evaluate(as: .number, for: "start value", in: context) let end = try rhs.evaluate(as: .number, for: "end value", in: context) return .range(RangeValue(from: start.doubleValue, to: end.doubleValue)) case let .infix(lhs, .step, rhs): let rangeValue = try lhs.evaluate(as: .range, for: "range value", in: context) let stepValue = try rhs.evaluate(as: .number, for: "step value", in: context) let range = rangeValue.value as! RangeValue guard let value = RangeValue( from: range.start, to: range.end, step: stepValue.doubleValue ) else { throw RuntimeError( .assertionFailure("Step value must be nonzero"), at: rhs.range ) } return .range(value) case let .infix(lhs, .equal, rhs): let lhs = try lhs.evaluate(in: context) let rhs = try rhs.evaluate(in: context) return .boolean(lhs.value == rhs.value) case let .infix(lhs, .unequal, rhs): let lhs = try lhs.evaluate(in: context) let rhs = try rhs.evaluate(in: context) return .boolean(lhs.value != rhs.value) case let .infix(lhs, .and, rhs): return try .boolean(lhs.evaluate( as: .boolean, for: InfixOperator.and.rawValue, index: 0, in: context ).boolValue && rhs.evaluate( as: .boolean, for: InfixOperator.and.rawValue, index: 1, in: context ).boolValue) case let .infix(lhs, .or, rhs): return try .boolean(lhs.evaluate( as: .boolean, for: InfixOperator.or.rawValue, index: 0, in: context ).boolValue || rhs.evaluate( as: .boolean, for: InfixOperator.or.rawValue, index: 1, in: context ).boolValue) case let .infix(lhs, op, rhs): func doubleValue(_ exp: Expression, index: Int = 0) throws -> Double { try exp.evaluate( as: .number, for: String(op.rawValue), index: index, in: context ).doubleValue } func tupleValue(_ exp: Expression, index: Int = 0) throws -> Value { try exp.evaluate( as: .union([.number, .list(.number)]), for: String(op.rawValue), index: index, in: context ) } func apply( _ lhs: Value, _ rhs: Value, _ fn: (Double, Double) -> Double ) -> Value { switch (lhs, rhs) { case let (.number(lhs), .number(rhs)): return .number(fn(lhs, rhs)) case let (.tuple(lhs), _) where lhs.count == 1: return apply(lhs[0], rhs, fn) case let (_, .tuple(rhs)) where rhs.count == 1: return apply(lhs, rhs[0], fn) case let (.tuple(lhs), .tuple(rhs)): return .tuple(zip(lhs, rhs).map { apply($0, $1, fn) }) case let (.tuple(lhs), .number): return .tuple(lhs.map { apply($0, rhs, fn) }) case let (.number, .tuple(rhs)): return .tuple(rhs.map { apply(lhs, $0, fn) }) default: assertionFailure() return .number(0) } } func tupleApply( _ fn: (Double, Double) -> Double, widen: Bool ) throws -> Value { let lhs = try tupleValue(lhs) let rhs = try tupleValue(rhs, index: 1) switch (apply(lhs, rhs, fn), lhs) { case let (.tuple(values), .tuple(lhs)) where widen: return .tuple(values + lhs[values.count...]) case let (value, _): return value } } switch op { case .minus: return try tupleApply(-, widen: true) case .plus: return try tupleApply(+, widen: true) case .times: return try tupleApply(*, widen: false) case .divide: return try tupleApply(/, widen: false) case .modulo: return try tupleApply(fmod, widen: false) case .lt: return try .boolean(doubleValue(lhs) < doubleValue(rhs, index: 1)) case .gt: return try .boolean(doubleValue(lhs) > doubleValue(rhs, index: 1)) case .lte: return try .boolean(doubleValue(lhs) <= doubleValue(rhs, index: 1)) case .gte: return try .boolean(doubleValue(lhs) >= doubleValue(rhs, index: 1)) case .to, .step, .equal, .unequal, .and, .or: throw RuntimeErrorType .assertionFailure("\(op.rawValue) should be handled by earlier case") } case let .member(expression, member): var value = try expression.evaluate(in: context) if let memberValue = value[member.name, context.isCancelled] { assert(value.members.contains(member.name), "\(value.errorDescription) does not have member '\(member.name)'") return memberValue } // TODO: find less hacky way to do this unwrap if case let .tuple(values) = value, values.count == 1 { value = values[0] } assert(!value.members.contains(member.name), "\(value.errorDescription) should have member '\(member.name)'") throw RuntimeError(.unknownMember( member.name, of: value.errorDescription, options: value.members ), at: member.range) } } func evaluate(as type: ValueType, for name: String, index: Int = -1, in context: EvaluationContext) throws -> Value { let value: Value, values: [(index: Int, value: Value)] do { if case let .tuple(expressions) = self.type { values = try evaluateParameters(expressions, in: context) if case let .tuple(types) = type, types.count == values.count { return try .tuple(zip(values, types).map { do { if let value = try $0.value.as($1, in: context) { return value } throw RuntimeErrorType.typeMismatch( for: name, index: $0.index, expected: $1, got: $0.value.type ) } catch let error as RuntimeErrorType { throw RuntimeError(error, at: expressions[$0.index].range) } }) } value = .tuple(values.map { $0.value }) } else { value = try evaluate(in: context) values = [] } } catch var error as RuntimeError { if case .unknownSymbol(let name, var options) = error.type { options += InfixOperator.allCases.map { $0.rawValue } error = RuntimeError(.unknownSymbol(name, options: options), at: error.range) } throw error } if let value = try RuntimeError.wrap(value.as(type, in: context), at: range) { return value } switch (self.type, type) { case let (.tuple(expressions), .tuple(types)): if values.count > types.count { throw RuntimeError(.unexpectedArgument( for: name, max: types.count ), at: expressions[values[types.count].index].range) } let upperBound = expressions.last?.range.upperBound ?? range.upperBound throw RuntimeError(.missingArgument( for: name, index: values.count, type: types[values.count] ), at: upperBound ..< upperBound) case let (.tuple(expressions), .list(type)): return try .tuple(expressions.enumerated().map { try $1.evaluate(as: type, for: name, index: $0, in: context) }) case let (.tuple(expressions), _) where expressions.count == 1: return try expressions[0].evaluate(as: type, for: name, in: context) case let (.tuple(expressions), type) where ValueType.color.isSubtype(of: type) && expressions.count > 4: throw RuntimeError( .unexpectedArgument(for: name, max: 4), at: expressions[4].range ) case let (.tuple(expressions), type) where (ValueType.vector.isSubtype(of: type) || ValueType.size.isSubtype(of: type) || ValueType.rotation.isSubtype(of: type)) && expressions.count > 3: throw RuntimeError( .unexpectedArgument(for: name, max: 3), at: expressions[3].range ) case let (.tuple(expressions), type) where ValueType.rotation.isSubtype(of: type): if let index = values.firstIndex(where: { !$0.value.isConvertible(to: .halfturns) }) { throw RuntimeError(.typeMismatch( for: name, index: index, expected: .halfturns, got: values[index].value.type ), at: expressions[index].range) } throw RuntimeError(.typeMismatch( for: name, index: index, expected: type, got: value.type ), at: range) case let (.tuple(expressions), type) where expressions.count > 1: var value = value if InfixOperator(rawValue: name) == nil, PrefixOperator(rawValue: name) == nil { value = try expressions[0].evaluate(in: context) if value.isConvertible(to: type) { var i = 0 var values = [value] while value.isConvertible(to: type), i < expressions.count - 1 { i += 1 try values.append(expressions[i].evaluate(in: context)) value = .tuple(values) } throw RuntimeError( .unexpectedArgument(for: name, max: i), at: expressions[i].range ) } } throw RuntimeError(.typeMismatch( for: name, index: index, expected: type, got: value.type ), at: range) case let (_, .tuple(types)) where types.count > 1 && !types[1].isOptional: throw RuntimeError( .missingArgument(for: name, index: 1, type: types[1]), at: range.upperBound ..< range.upperBound ) case (_, .void): throw RuntimeError(.unexpectedArgument(for: name, max: 0), at: range) default: throw RuntimeError(.typeMismatch( for: name, index: index, expected: type, got: value.type ), at: range) } } } ShapeScript-1.6.14/ShapeScript/Lexer.swift000066400000000000000000000405141450355336000204220ustar00rootroot00000000000000// // Lexer.swift // ShapeScript // // Created by Nick Lockwood on 07/09/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // import Foundation // MARK: Public interface public func tokenize(_ input: String) throws -> [Token] { var tokens: [Token] = [] var characters = Substring(input) var spaceBefore = true _ = characters.skipWhitespaceAndComments() while let token = try characters.readToken(spaceBefore: spaceBefore) { switch (tokens.last?.type, token.type) { case (.linebreak?, .linebreak): break // Skip duplicate linebreak case (.identifier?, .lparen) where spaceBefore && tokens.count > 1: switch tokens[tokens.count - 2].type { case .infix, .prefix: // Insert parens for disambiguation let identifier = tokens.removeLast() let range = identifier.range let lRange = range.lowerBound ..< range.lowerBound let rRange = range.upperBound ..< range.upperBound tokens += [ Token(type: .lparen, range: lRange), identifier, Token(type: .rparen, range: rRange), token, ] default: tokens.append(token) } default: tokens.append(token) } spaceBefore = characters.skipWhitespaceAndComments() if !spaceBefore, let lastTokenType = tokens.last?.type { switch lastTokenType { case .infix, .prefix, .dot, .lparen, .lbrace, .linebreak: spaceBefore = true case .identifier, .keyword, .hexColor, .number, .string, .rbrace, .rparen, .eof: break } } } if !characters.isEmpty { let start = characters.startIndex let token = characters.readToEndOfToken() let range = start ..< characters.startIndex throw LexerError(.unexpectedToken(token), at: range) } tokens.append(Token(type: .eof, range: characters.startIndex ..< characters.endIndex)) return tokens } // Note: only includes keywords that start a command, not joining words public enum Keyword: String, CaseIterable { case define case `for` case `if` case `else` case `import` } public enum PrefixOperator: String { case plus = "+" case minus = "-" } public enum InfixOperator: String, CaseIterable { case plus = "+" case minus = "-" case times = "*" case divide = "/" case modulo = "%" // Comparison operators case lt = "<" case gt = ">" case lte = "<=" case gte = ">=" case equal = "=" case unequal = "<>" // Boolean operators case and, or // Range operators case to, step } public enum TokenType: Equatable { case linebreak case identifier(String) case keyword(Keyword) case hexColor(String) case infix(InfixOperator) case prefix(PrefixOperator) case number(Double) case string(String) case lbrace case rbrace case lparen case rparen case dot case eof } public typealias SourceRange = Range public struct Token: Equatable { public let type: TokenType public let range: SourceRange } public enum LexerErrorType: Equatable { case invalidNumber(String) case invalidColor(String) case unexpectedToken(String) case unterminatedString case invalidEscapeSequence(String) } public struct LexerError: Error, Equatable { public let type: LexerErrorType public let range: SourceRange public init(_ type: LexerErrorType, at range: SourceRange) { self.type = type self.range = range } } public extension LexerError { var message: String { switch type { case let .invalidNumber(digits): return "Invalid numeric literal '\(digits)'" case let .invalidColor(string): return "Invalid color literal '#\(string)'" case let .unexpectedToken(token): guard token.count < 20, !token.contains("'") else { return "Unexpected token" } return "Unexpected token '\(token)'" case .unterminatedString: return "Unterminated string literal" case let .invalidEscapeSequence(sequence): let sequence = sequence.unicodeScalars.contains { CharacterSet.whitespaces.contains($0) } ? "'\(sequence)'" : sequence return "Invalid escape sequence \(sequence)" } } var suggestion: String? { switch type { case let .unexpectedToken(string): let options = InfixOperator.allCases.map { $0.rawValue } return Self.alternatives[string.lowercased()] ?? string.bestMatches(in: options).first case let .invalidEscapeSequence(string): return [ "\"\"": "\\\"", "\\r": "\\n", ][string] default: return nil } } var hint: String? { switch type { case let .invalidNumber(digits): if digits.components(separatedBy: ".").count > 2 { return "Numbers must contain at most one decimal point." } return nil case .invalidColor: return "Hex colors must be 3, 4, 6 or 8 digits in length." case .unexpectedToken: if let suggestion = suggestion { return "Did you mean '\(suggestion)'?" } return nil case .unterminatedString: return "Try adding a closing \" (double quote) at the end of the line." case .invalidEscapeSequence: let hint = "Supported sequences are \\\", \\n and \\\\." if let suggestion = suggestion { return "\(hint) Did you mean \(suggestion)?" } return hint } } } public extension String { func lineRange(at index: String.Index, includingIndent: Bool = false) -> SourceRange { var endIndex = self.endIndex var startIndex = self.startIndex var i = startIndex while i < endIndex { let nextIndex = self.index(after: i) if self[i].isLinebreak { if i >= index { endIndex = i break } startIndex = nextIndex } i = nextIndex } if !includingIndent { while startIndex < endIndex, self[startIndex].isWhitespace { startIndex = self.index(after: startIndex) } } return startIndex ..< endIndex } func lineAndColumn(at index: String.Index) -> (line: Int, column: Int) { var line = 1, column = 1 var i = startIndex assert(index <= endIndex) while i < min(index, endIndex) { if self[i].isLinebreak == true { line += 1 column = 1 } else { column += 1 } i = self.index(after: i) } return (line: line, column: column) } func line(at index: String.Index) -> Int { lineAndColumn(at: index).line } } // MARK: Implementation private extension LexerError { static let alternatives: [String: String] = [ "&&": "and", "&": "and", "||": "or", "|": "or", "!": "not", "==": "=", "===": "=", "!=": "<>", "/=": "<>", "=/=": "<>", "=<": "<=", "=>": ">=", ] } private let whitespace = " \t" private let linebreaks = "\n\r\r\n" private let delimiters = "()[]{}" private let operators = "+-*/<>=!?&|%^~" private let letters = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz" private let digits = "0123456789" private let alphanumerics = digits + letters private let hexadecimals = digits + "ABCDEFabcdef" private extension Character { var isWhitespace: Bool { whitespace.contains(self) } var isLinebreak: Bool { linebreaks.contains(self) } var isWhitespaceOrLinebreak: Bool { isWhitespace || isLinebreak } } private extension Substring { mutating func skipBlockComment() { assert(first == "*") removeFirst() while let c = first { removeFirst() switch c { case "*" where first == "/": removeFirst() return case "/" where first == "*": skipBlockComment() default: break } } } mutating func skipWhitespaceAndComments() -> Bool { var wasSpace = false while let c = first { guard c.isWhitespace else { if c == "/" { wasSpace = true let nextIndex = index(after: startIndex) if nextIndex != endIndex { switch self[nextIndex] { case "/": removeFirst() removeFirst() while let c = first, !c.isLinebreak { removeFirst() } case "*": removeFirst() skipBlockComment() continue default: break } } } break } wasSpace = true removeFirst() } return wasSpace } mutating func readLineBreak() -> TokenType? { guard let c = first, c.isLinebreak else { return nil } removeFirst() return .linebreak } mutating func readCharacters(in characters: String) -> String? { var result = "" while let c = first, characters.contains(c) { result.append(removeFirst()) } return result.isEmpty ? nil : result } mutating func readToEndOfToken() -> String { if let string = readCharacters(in: delimiters) { return string } else if let string = readCharacters(in: operators) { return string } else { var string = "" let terminator = whitespace + linebreaks + delimiters + operators while let c = first, !terminator.contains(c) { string.append(removeFirst()) } return string } } mutating func readOperator(spaceBefore: Bool) -> TokenType? { let start = self switch popFirst() { case "{": return .lbrace case "}": return .rbrace case "(": return .lparen case ")": return .rparen case "." where !spaceBefore: if let next = first, !next.isWhitespace, !next.isLinebreak { return .dot } self = start return nil case let c? where operators.contains(c): func toOp(_ string: String) -> TokenType? { if let op = InfixOperator(rawValue: string) { guard let next = first else { // technically postfix, but we don't have those return .infix(op) } if !spaceBefore || next.isWhitespace || next.isLinebreak { return .infix(op) } if let op = PrefixOperator(rawValue: string) { return .prefix(op) } return .infix(op) } else if let op = PrefixOperator(rawValue: string) { return .prefix(op) } else { return nil } } var string = String(c) var op = toOp(string) var end = start if op != nil { end = self } while let c = first, operators.contains(c) { removeFirst() string.append(c) if let nextOp = toOp(string) { op = nextOp end = self } } let remaining = String(end[.. TokenType? { let startIndex = self.startIndex var start = self, number = "" while let c = first, "\(digits).".contains(c) { if c == "." { start = self } number.append(removeFirst()) } if number.last == ".", number.count == 1 || first.map({ letters.contains($0) }) ?? false { number.removeLast() self = start } if number.isEmpty { return nil } guard let double = Double(number) else { let range = startIndex ..< self.startIndex throw LexerError(.invalidNumber(number), at: range) } return .number(double) } mutating func readString() throws -> TokenType? { guard first == "\"" else { return nil } let start = self removeFirst() var string = "", escaped = false loop: while let c = first { if !escaped { switch c { case "\"": removeFirst() if first == "\"" { let range = start.index(before: startIndex) ..< index(after: startIndex) throw LexerError(.invalidEscapeSequence(String(start[range])), at: range) } return .string(string) case "\\": escaped = true case "\n", "\r", "\r\n": break loop default: string.append(c) } removeFirst() continue } switch c { case "n": string.append("\n") case "\\", "\"": string.append(c) case "\n", "\r", "\r\n": break loop default: let range = start.index(before: startIndex) ..< index(after: startIndex) throw LexerError(.invalidEscapeSequence(String(start[range])), at: range) } removeFirst() escaped = false } let range = start.startIndex ..< startIndex throw LexerError(.unterminatedString, at: range) } mutating func readIdentifier() -> TokenType? { guard let head = first, letters.contains(head) else { return nil } removeFirst() let name = String(head) + (readCharacters(in: "\(alphanumerics)_") ?? "") if let keyword = Keyword(rawValue: name) { return .keyword(keyword) } return .identifier(name) } mutating func readHexColor() throws -> TokenType? { guard first == "#" else { return nil } let start = self removeFirst() let string = readCharacters(in: alphanumerics) ?? "" let range = start.startIndex ..< startIndex guard string.allSatisfy({ hexadecimals.contains($0) }) else { throw LexerError(.invalidColor(string), at: range) } switch string.count { case 3, 4, 6, 8: return .hexColor(string) case 0: throw LexerError(.unexpectedToken("#"), at: range) default: throw LexerError(.invalidColor(string), at: range) } } mutating func readToken(spaceBefore: Bool) throws -> Token? { let startIndex = self.startIndex guard let tokenType = try readLineBreak() ?? readOperator(spaceBefore: spaceBefore) ?? readNumber() ?? readString() ?? readIdentifier() ?? readHexColor() else { return nil } let range = startIndex ..< self.startIndex return Token(type: tokenType, range: range) } } ShapeScript-1.6.14/ShapeScript/Logging.swift000066400000000000000000000214221450355336000207260ustar00rootroot00000000000000// // Logging.swift // ShapeScript Lib // // Created by Nick Lockwood on 17/08/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // import Euclid import Foundation public protocol Loggable { /// Top-level log description var logDescription: String { get } /// Log description when nested inside an array or tuple var nestedLogDescription: String { get } } public extension String { init(logDescriptionFor value: Any) { self.init(describing: (value as? Loggable)?.logDescription ?? value) } init(nestedLogDescriptionFor value: Any) { self.init(describing: (value as? Loggable)?.nestedLogDescription ?? value) } } extension String: Loggable { public var logDescription: String { self } public var nestedLogDescription: String { "\"" + replacingOccurrences(of: "\\", with: "\\\\") .replacingOccurrences(of: "\"", with: "\\\"") .replacingOccurrences(of: "\n", with: "\\n") + "\"" } } extension TextValue: Loggable { var logDescription: String { string } var nestedLogDescription: String { string.nestedLogDescription } } extension Double: Loggable { private static let formatter: NumberFormatter = { let formatter = NumberFormatter() formatter.locale = Locale(identifier: "en_US") formatter.numberStyle = .decimal formatter.maximumFractionDigits = 4 formatter.usesGroupingSeparator = false formatter.positiveInfinitySymbol = "∞" formatter.negativeInfinitySymbol = "-∞" formatter.notANumberSymbol = "NaN" return formatter }() public var logDescription: String { let result = Self.formatter.string(from: self as NSNumber) ?? "NaN" return result == "-0" ? "0" : result } public var nestedLogDescription: String { logDescription } } extension Bool: Loggable { public var logDescription: String { "\(self)" } public var nestedLogDescription: String { logDescription } } extension Vector: Loggable { public var logDescription: String { "\(x.logDescription) \(y.logDescription) \(z.logDescription)" } public var nestedLogDescription: String { "(\(logDescription))" } } extension Angle: Loggable { public var logDescription: String { (radians / .pi).logDescription } public var nestedLogDescription: String { logDescription } } extension Rotation: Loggable { public var logDescription: String { "\(roll.logDescription) \(yaw.logDescription) \(pitch.logDescription)" } public var nestedLogDescription: String { "(\(logDescription))" } } extension Color: Loggable { public var logDescription: String { var components = self.components if a == 1 { components.removeLast() } return components.map { $0.logDescription }.joined(separator: " ") } public var nestedLogDescription: String { "(\(logDescription))" } } extension Texture: Loggable { public var logDescription: String { switch self { case let .file(name: _, url: url): return url.path.logDescription case .data: return "texture { #data }" } } public var nestedLogDescription: String { switch self { case let .file(name: _, url: url): return url.path.nestedLogDescription case .data: return logDescription } } } extension MaterialProperty: Loggable { public var logDescription: String { switch self { case let .color(color): return color.logDescription case let .texture(texture): return texture.logDescription } } public var nestedLogDescription: String { switch self { case let .color(color): return color.nestedLogDescription case let .texture(texture): return texture.nestedLogDescription } } } extension Path: Loggable { public var logDescription: String { if subpaths.count > 1 { return "path { subpaths \(subpaths.count) }" } return "path { points \(points.count) }" } public var nestedLogDescription: String { "path" } } extension Polygon: Loggable { public var logDescription: String { "polygon { points \(vertices.count) }" } public var nestedLogDescription: String { "polygon" } } extension PathPoint: Loggable { public var logDescription: String { "\(nestedLogDescription) { \(position.logDescription) }" } public var nestedLogDescription: String { isCurved ? "curve" : "point" } } extension Bounds: Loggable { public var logDescription: String { """ bounds { min \(min.logDescription) max \(max.logDescription) } """ } public var nestedLogDescription: String { "bounds" } } extension GeometryType: Loggable { public var logDescription: String { switch self { case .group: return "group" case .cone: return "cone" case .cylinder: return "cylinder" case .sphere: return "sphere" case .cube: return "cube" case .extrude: return "extrusion" case .lathe: return "lathe" case .loft: return "loft" case .fill: return "fill" case .hull: return "hull" case .union: return "union" case .difference: return "difference" case .intersection: return "intersection" case .xor: return "xor" case .stencil: return "stencil" case .path: return "path" case .mesh: return "mesh" case .camera: return "camera" case .light: return "light" } } public var nestedLogDescription: String { logDescription } } extension Geometry: Loggable { public var logDescription: String { let epsilon = 0.0001 let scale = transform.scale let scaleDescription: String? if abs(scale.x - scale.y) < epsilon, abs(scale.y - scale.z) < epsilon { scaleDescription = abs(scale.x - 1) < epsilon ? nil : "size \(scale.x.logDescription)" } else { scaleDescription = "size \(scale.logDescription)" } var fields = [ name.flatMap { $0.isEmpty ? nil : "name \($0.nestedLogDescription)" }, childCount == 0 ? nil : "children \(childCount)", scaleDescription, transform.offset == .zero ? nil : "position \(transform.offset.logDescription)", transform.rotation == .identity ? nil : "orientation \(transform.rotation.logDescription)", ].compactMap { $0 } switch type { case let .camera(camera): if let fov = camera.fov, abs(fov.degrees - 60) > epsilon { fields.append("fov \(fov.logDescription)") } if let width = camera.width { fields.append("width \(width.logDescription)") } if let height = camera.height { fields.append("height \(height.logDescription)") } switch camera.background { case let .color(color)?: fields.append("background \(color.logDescription)") case let .texture(.file(name, _))?: fields.append("background \(name.nestedLogDescription)") case .texture, nil: break } case let .mesh(mesh): fields.append("polygons \(mesh.polygons.count)") default: break } let block: String switch fields.count { case 0: block = "" case 1: block = " { \(fields[0]) }" default: block = " {\n \(fields.joined(separator: "\n "))\n}" } return type.logDescription + block } public var nestedLogDescription: String { type.nestedLogDescription } } extension Optional: Loggable { public var logDescription: String { map { String(logDescriptionFor: $0) } ?? "nil" } public var nestedLogDescription: String { map { String(nestedLogDescriptionFor: $0) } ?? "nil" } } extension Array: Loggable { public var logDescription: String { map { String(nestedLogDescriptionFor: $0) }.joined(separator: " ") } public var nestedLogDescription: String { "(\(logDescription))" } } extension RangeValue: Loggable { public var logDescription: String { let stepText = (step == 1) ? "" : " step \(step.logDescription)" return "\(start.logDescription) to \(end.logDescription)\(stepText)" } public var nestedLogDescription: String { "(\(logDescription))" } } ShapeScript-1.6.14/ShapeScript/Material+Brightness.swift000066400000000000000000000050421450355336000232020ustar00rootroot00000000000000// // Material+Brightness.swift // ShapeScript Lib // // Created by Nick Lockwood on 17/04/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import Euclid public extension MaterialProperty { var brightness: Double { averageColor.brightness } func brightness(over background: Color) -> Double { averageColor.brightness(over: background) } var averageColor: Color { switch self { case let .color(color): return color case let .texture(texture): return texture.averageColor ?? .clear } } } public extension Color { var brightness: Double { (r + g + b) / 3 } func brightness(over background: Color) -> Double { brightness * a + background.brightness * (1 - a) } } #if canImport(UIKit) import UIKit public extension Texture { var averageColor: Color? { let image = UIImage(self) let rect = CGRect(x: 0, y: 0, width: 1, height: 1) UIGraphicsBeginImageContext(rect.size) defer { UIGraphicsEndImageContext() } image?.draw(in: rect) return UIGraphicsGetImageFromCurrentImageContext()?.cgImage?.averageColor } } #elseif canImport(AppKit) import AppKit public extension Texture { var averageColor: Color? { let image = NSImage(self) var rect = NSRect(x: 0, y: 0, width: 1, height: 1) return image?.cgImage( forProposedRect: &rect, context: nil, hints: nil )?.averageColor } } #else public extension Texture { var averageColor: Color? { Color(0.5, 0.5, 0.5) } } #endif #if canImport(CoreGraphics) import CoreGraphics extension CGImage { var averageColor: Color? { let alphaInfo = CGImageAlphaInfo.premultipliedLast let bytesPerPixel = 4 let bytesPerRow = bytesPerPixel var components = [UInt8](repeating: 0, count: 4) guard let context = CGContext( data: &components, width: 1, height: 1, bitsPerComponent: 8, bytesPerRow: bytesPerRow, space: CGColorSpaceCreateDeviceRGB(), bitmapInfo: alphaInfo.rawValue ) else { return nil } let rect = CGRect(x: 0, y: 0, width: 1, height: 1) context.draw(self, in: rect) return Color( Double(components[0]) / 255, Double(components[1]) / 255, Double(components[2]) / 255, Double(components[3]) / 255 ) } } #endif ShapeScript-1.6.14/ShapeScript/Material.swift000066400000000000000000000021231450355336000210730ustar00rootroot00000000000000// // Material.swift // ShapeScript // // Created by Nick Lockwood on 16/01/2019. // Copyright © 2019 Nick Lockwood. All rights reserved. // import Euclid import Foundation public typealias Color = Euclid.Color public enum Texture: Hashable { case file(name: String, url: URL) case data(Data) } public enum MaterialProperty: Hashable { case color(Color) case texture(Texture) init?(_ value: Any) { switch value { case let color as Color: self = .color(color) case let texture as Texture: self = .texture(texture) default: return nil } } } public struct Material: Hashable { public var opacity = 1.0 public var texture: Texture? public var color: Color? { // Color and texture are mutually exclusive didSet { texture = (color != nil) ? nil : texture } } public var isOpaque: Bool { opacity > 0.999 && (color?.a ?? 1) > 0.999 } public static let `default` = Material() public init(color: Color? = nil) { self.color = color } } ShapeScript-1.6.14/ShapeScript/Parser.swift000066400000000000000000000514441450355336000206030ustar00rootroot00000000000000// // Parser.swift // ShapeScript // // Created by Nick Lockwood on 26/09/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // import Euclid // MARK: Public interface public func parse(_ input: String) throws -> Program { var tokens = try ArraySlice(tokenize(input)) let statements = try tokens.readStatements() if let token = tokens.first, token.type != .eof { throw ParserError(.unexpectedToken(token, expected: nil)) } return Program(source: input, statements: statements) } public struct Program: Equatable { public let source: String public let statements: [Statement] } public enum StatementType: Equatable { case command(Identifier, Expression?) case define(Identifier, Definition) case option(Identifier, Expression) case forloop(Identifier?, in: Expression, Block) case ifelse(Expression, Block, else: Block?) case expression(Expression) case `import`(Expression) } public struct Statement: Equatable { public let type: StatementType public let range: SourceRange } public enum DefinitionType: Equatable { case block(Block) case function([Identifier], Block) case expression(Expression) } public struct Definition: Equatable { public let type: DefinitionType public var range: SourceRange { switch type { case let .block(block), let .function(_, block): return block.range case let .expression(expression): return expression.range } } } public enum ExpressionType: Equatable { case number(Double) case string(String) case color(Color) case identifier(String) case block(Identifier, Block) case tuple([Expression]) indirect case prefix(PrefixOperator, Expression) indirect case infix(Expression, InfixOperator, Expression) indirect case member(Expression, Identifier) } public struct Expression: Equatable { public let type: ExpressionType public let range: SourceRange } public struct Block: Equatable { public let statements: [Statement] public let range: SourceRange } public struct Identifier: Equatable { public let name: String public let range: SourceRange } public enum ParserErrorType: Equatable { case unexpectedToken(Token, expected: String?) case custom(String, hint: String?, at: SourceRange?) } public struct ParserError: Error, Equatable { public let type: ParserErrorType public init(_ type: ParserErrorType) { self.type = type } } public extension ParserError { var range: SourceRange? { switch type { case let .unexpectedToken(token, _): return token.range case let .custom(_, _, at: range): return range } } var message: String { switch type { case let .unexpectedToken(token, _): return "Unexpected \(token.type.errorDescription)" case let .custom(message, _, _): return message } } var suggestion: String? { switch type { case let .unexpectedToken(token, expected): guard case let .identifier(string) = token.type else { return nil } guard let expected = expected else { let options = Keyword.allCases.map { $0.rawValue } return string.bestMatches(in: options).first } if ["if body", "operator"].contains(expected) { let options = InfixOperator.allCases.map { $0.rawValue } return Self.alternatives[string.lowercased()] ?? string.bestMatches(in: options).first } return nil case .custom: return nil } } var hint: String? { switch type { case let .unexpectedToken(_, expected: expected): if let suggestion = suggestion { return "Did you mean '\(suggestion)'?" } return expected.map { "Expected \($0)." } case let .custom(_, hint: hint, _): return hint } } } // MARK: Implementation extension ParserError { static let alternatives: [String: String] = [ "mod": "%", "fmod": "%", "equals": "=", "eq": "=", "is": "=", ] } private extension TokenType { var errorDescription: String { switch self { case .linebreak: return "end of line" case let .identifier(name): return "token '\(name)'" case let .keyword(keyword): return "keyword '\(keyword)'" case let .hexColor(string): return "color \(string)" case let .infix(op): return "operator '\(op.rawValue)'" case let .prefix(op): return "prefix operator '\(op.rawValue)'" case .number: return "numeric literal" case .string: return "text literal" case .lbrace: return "opening brace" case .rbrace: return "closing brace" case .lparen: return "opening paren" case .rparen: return "closing paren" case .dot: return "dot" case .eof: return "end of file" } } } private extension ArraySlice where Element == Token { var nextToken: Token { first! } mutating func readToken() -> Token { popFirst()! } mutating func readToken(_ type: TokenType) -> Bool { guard nextToken.type == type else { return false } removeFirst() return true } mutating func requireToken(_ type: TokenType, as expected: String?) throws { guard readToken(type) else { throw ParserError(.unexpectedToken(nextToken, expected: expected)) } } mutating func requireToken(_ type: TokenType) throws { try requireToken(type, as: type.errorDescription) } func require(_ result: T?, as expected: String) throws -> T { guard let result = result else { throw ParserError(.unexpectedToken(nextToken, expected: expected)) } return result } mutating func readIdentifier() -> Identifier? { let token = nextToken guard case let .identifier(name) = token.type else { return nil } removeFirst() return Identifier(name: name, range: token.range) } mutating func readBlock() throws -> Block? { let start = self guard readToken(.lbrace) else { return nil } let statements = try readStatements() let end = nextToken try requireToken(.rbrace) let range = start.nextToken.range.lowerBound ..< end.range.upperBound return Block(statements: statements, range: range) } mutating func readOption() throws -> StatementType? { guard readToken(.identifier("option")) else { return nil } let name = try require(readIdentifier(), as: "option name") let expression = try require(readExpressions(), as: "default value") return .option(name, expression) } mutating func readParameters() throws -> [Identifier]? { let start = self guard let expression = try readExpressions() else { return [] } switch expression.type { case let .identifier(name): return [Identifier(name: name, range: expression.range)] case let .tuple(expressions): var names = [Identifier]() for expression in expressions { guard case let .identifier(name) = expression.type else { fallthrough } names.append(Identifier(name: name, range: expression.range)) } return names default: self = start return nil } } mutating func readDefine() throws -> StatementType? { guard readToken(.keyword(.define)) else { return nil } let name = try require(readIdentifier(), as: "symbol name") let start = self guard readToken(.lparen), let names = try readParameters(), readToken(.rparen), let block = try readBlock() else { self = start if let block = try readBlock() { return .define(name, Definition(type: .block(block))) } let expression = try require(readExpressions(), as: "value") return .define(name, Definition(type: .expression(expression))) } return .define(name, Definition(type: .function(names, block))) } mutating func readForLoop() throws -> StatementType? { guard readToken(.keyword(.for)) else { return nil } var identifier: Identifier? var expression = try require(readExpression(), as: "index or range") if case let .identifier(name) = expression.type, readToken(.identifier("in")) { identifier = Identifier(name: name, range: expression.range) expression = try require(readExpression(), as: "range") } let body = try require(readBlock(), as: "loop body") return .forloop(identifier, in: expression, body) } mutating func readIfElse() throws -> StatementType? { guard readToken(.keyword(.if)) else { return nil } let condition = try require(readExpression(), as: "condition") let body = try require(readBlock(), as: "if body") let start = self _ = readToken(.linebreak) guard readToken(.keyword(.else)) else { self = start return .ifelse(condition, body, else: nil) } let lowerBound = nextToken.range.lowerBound if let elseBody = try readBlock() { return .ifelse(condition, body, else: elseBody) } else if let statementType = try readIfElse() { let end = start[start.index(before: startIndex)] let range = lowerBound ..< end.range.upperBound return .ifelse(condition, body, else: Block(statements: [ Statement(type: statementType, range: range), ], range: range)) } throw ParserError(.unexpectedToken(nextToken, expected: "else body")) } mutating func readImport() throws -> StatementType? { guard readToken(.keyword(.import)) else { return nil } return try .import(require(readExpressions(), as: "file path")) } mutating func readOperand() throws -> Expression? { let start = self let token = readToken() var range = token.range let type: ExpressionType switch token.type { case .lparen: _ = readToken(.linebreak) let expression = try readExpressions(allowLinebreaks: true) ?? Expression( type: .tuple([]), range: range.upperBound ..< nextToken.range.lowerBound ) range = range.lowerBound ..< nextToken.range.upperBound try requireToken(.rparen, as: expression.type == .tuple([]) ? "expression" : TokenType.rparen.errorDescription) switch expression.type { case .tuple: type = expression.type default: type = .tuple([expression]) } case let .prefix(op): let operand = try require(readOperand(), as: "operand") range = range.lowerBound ..< operand.range.upperBound type = .prefix(op, operand) case let .number(number): type = .number(number) case let .string(string): type = .string(string) case let .hexColor(string): type = .color(Color(hexString: string) ?? .black) case let .identifier(name): guard readToken(.lparen) else { type = .identifier(name) break } let expression = try readExpressions() let endToken = nextToken try requireToken(.rparen, as: "expression or \(TokenType.rparen.errorDescription)") // repackage function syntax as a lisp-style subexpression // TODO: should we support this as a distinct construct? var expressions = [Expression( type: .identifier(name), range: range )] if let expression = expression { if case let .tuple(params) = expression.type { expressions += params } else { expressions.append(expression) } } type = .tuple(expressions) range = range.lowerBound ..< endToken.range.upperBound case .dot, .linebreak, .keyword, .infix, .lbrace, .rbrace, .rparen, .eof: self = start return nil } var expression = Expression(type: type, range: range) while case .dot = nextToken.type { removeFirst() let rhs = try require(readIdentifier(), as: "member name") expression = Expression( type: .member(expression, rhs), range: range.lowerBound ..< rhs.range.upperBound ) } return expression } mutating func readTerm() throws -> Expression? { guard var lhs = try readOperand() else { return nil } while case let .infix(op) = nextToken.type, [.times, .divide, .modulo].contains(op) { removeFirst() let rhs = try require(readOperand(), as: "operand") lhs = Expression( type: .infix(lhs, op, rhs), range: lhs.range.lowerBound ..< rhs.range.upperBound ) } return lhs } mutating func readSum() throws -> Expression? { guard var lhs = try readTerm() else { return nil } while case let .infix(op) = nextToken.type, [.plus, .minus].contains(op) { removeFirst() let rhs = try require(readTerm(), as: "operand") lhs = Expression( type: .infix(lhs, op, rhs), range: lhs.range.lowerBound ..< rhs.range.upperBound ) } return lhs } mutating func readRange() throws -> Expression? { guard let lhs = try readSum() else { return nil } guard case .identifier("to") = nextToken.type else { return lhs } removeFirst() let rhs = try require(readSum(), as: "end value") return Expression( type: .infix(lhs, .to, rhs), range: lhs.range.lowerBound ..< rhs.range.upperBound ) } mutating func readStep() throws -> Expression? { guard let lhs = try readRange() else { return nil } guard case .identifier("step") = nextToken.type else { return lhs } let start = self removeFirst() guard let rhs = try readSum() else { self = start return lhs } if case .identifier("step") = nextToken.type { // TODO: should multiple step values actually be permitted? // TODO: or is there a better error than "unexpected token"? throw ParserError(.unexpectedToken(nextToken, expected: nil)) } return Expression( type: .infix(lhs, .step, rhs), range: lhs.range.lowerBound ..< rhs.range.upperBound ) } mutating func readComparison() throws -> Expression? { let not = nextToken.type == .identifier("not") ? readToken() : nil guard var lhs = try readStep() else { return not.map { Expression(type: .identifier("not"), range: $0.range) } } if case let .infix(op) = nextToken.type, [ .lt, .lte, .gt, .gte, .equal, .unequal, ].contains(op) { removeFirst() // TODO: should we allow chained comparison operators? let not = nextToken.type == .identifier("not") ? readToken() : nil var rhs = try require(readSum(), as: "operand") if let not = not { rhs = Expression(type: .tuple([ Expression(type: .identifier("not"), range: not.range), rhs, ]), range: not.range.lowerBound ..< rhs.range.upperBound) } lhs = Expression( type: .infix(lhs, op, rhs), range: lhs.range.lowerBound ..< rhs.range.upperBound ) } return not.map { let not = Expression(type: .identifier("not"), range: $0.range) return Expression( type: .tuple([not, lhs]), range: $0.range.lowerBound ..< lhs.range.upperBound ) } ?? lhs } mutating func readBooleanLogic() throws -> Expression? { guard var lhs = try readComparison() else { return nil } while case let .identifier(name) = nextToken.type, let op = InfixOperator(rawValue: name), [.and, .or].contains(op) { removeFirst() let rhs = try require(readComparison(), as: "operand") lhs = Expression( type: .infix(lhs, op, rhs), range: lhs.range.lowerBound ..< rhs.range.upperBound ) } return lhs } mutating func readExpression() throws -> Expression? { try readBooleanLogic() } mutating func readExpressions(allowLinebreaks: Bool = false) throws -> Expression? { var expressions = [Expression]() while var expression = try readExpression() { if case let .identifier(name) = expression.type, let block = try readBlock() { let range = expression.range.lowerBound ..< block.range.upperBound let identifier = Identifier(name: name, range: expression.range) expression = Expression(type: .block(identifier, block), range: range) } expressions.append(expression) if allowLinebreaks { _ = readToken(.linebreak) } } switch expressions.count { case 0: return nil case 1: return expressions[0] default: let range = expressions[0].range.lowerBound ..< expressions.last!.range.upperBound return Expression(type: .tuple(expressions), range: range) } } mutating func readStatement() throws -> StatementType? { if let statement = try readDefine() ?? readOption() ?? readForLoop() ?? readIfElse() ?? readImport() { return statement } let start = self guard let identifier = readIdentifier() else { return try readExpressions().map { .expression($0) } } if case let .function(type, _) = Symbols.all[identifier.name], type.parameterType != .void, type.returnType != .void { // Not a command or read-only property getter self = start return try readExpressions().map { .expression($0) } } switch nextToken.type { case .infix, .dot, .identifier, .lbrace: self = start guard let expression = try readExpressions() else { return nil } switch expression.type { case var .tuple(expressions) where expressions[0].type == .identifier(identifier.name): expressions.removeFirst() let expression: Expression if expressions.count > 1 { let range = expressions[0].range.lowerBound ..< expressions.last!.range.upperBound expression = Expression(type: .tuple(expressions), range: range) } else { expression = expressions[0] } return .command(identifier, expression) default: return .expression(expression) } case .number, .linebreak, .keyword, .hexColor, .prefix, .string, .rbrace, .lparen, .rparen, .eof: return try .command(identifier, readExpressions()) } } mutating func readStatements() throws -> [Statement] { _ = readToken(.linebreak) var start = self var statements = [Statement]() while let type = try readStatement() { let end = start[start.index(before: startIndex)] let range = start.nextToken.range.lowerBound ..< end.range.upperBound statements.append(Statement(type: type, range: range)) switch nextToken.type { case .linebreak: removeFirst() case .eof, .rbrace: break default: throw ParserError(.unexpectedToken(nextToken, expected: nil)) } start = self } return statements } } ShapeScript-1.6.14/ShapeScript/ProgramError.swift000066400000000000000000000160121450355336000217600ustar00rootroot00000000000000// // ProgramError.swift // ShapeScript Lib // // Created by Nick Lockwood on 07/05/2023. // Copyright © 2023 Nick Lockwood. All rights reserved. // import Foundation @available(*, deprecated, renamed: "ProgramError") public typealias ImportError = ProgramError public enum ProgramError: Error, Equatable { case lexerError(LexerError) case parserError(ParserError) case runtimeError(RuntimeError) case unknownError(String?) } public extension ProgramError { init(_ error: Error) { switch error { case let error as ProgramError: self = error case let error as LexerError: self = .lexerError(error) case let error as ParserError: self = .parserError(error) case let error as RuntimeError: self = .runtimeError(error) default: let message = error.localizedDescription self = .unknownError(message.hasSuffix(".") ? "\(message.dropLast())" : message) } } var message: String { switch self { case let .lexerError(error): return error.message case let .parserError(error): return error.message case let .runtimeError(error): return error.message case let .unknownError(message): return message ?? "Unknown error" } } var range: SourceRange? { switch self { case let .lexerError(error): return error.range case let .parserError(error): return error.range case let .runtimeError(error): return error.range case .unknownError: return nil } } var hint: String? { switch self { case let .lexerError(error): return error.hint case let .parserError(error): return error.hint case let .runtimeError(error): return error.hint case .unknownError: return nil } } /// If the error relates to file access permissions, returns the URL of that file. var accessErrorURL: URL? { switch underlyingError { case let .runtimeError(runtimeError): return runtimeError.accessErrorURL case .parserError, .lexerError, .unknownError: return nil } } /// Returns the URL of the .shape file in which the error occured. func shapeFileURL(relativeTo baseURL: URL) -> URL { switch self { case let .runtimeError(runtimeError): switch runtimeError.type { case let .importError(error, url, _): guard let url = url, url.pathExtension == "shape" else { return baseURL } return error.shapeFileURL(relativeTo: url) case .unknownSymbol, .unknownMember, .unknownFont, .typeMismatch, .forwardReference, .unexpectedArgument, .missingArgument, .unusedValue, .assertionFailure, .fileNotFound, .fileTimedOut, .fileAccessRestricted, .fileTypeMismatch, .fileParsingError, .circularImport: return baseURL } case .lexerError, .parserError, .unknownError: return baseURL } } /// Returns the underlying error if the error was triggered inside an imported file, etc. var underlyingError: ProgramError { switch self { case let .runtimeError(runtimeError): switch runtimeError.type { case let .importError(error, _, _): return error.underlyingError case .unknownSymbol, .unknownMember, .unknownFont, .typeMismatch, .forwardReference, .unexpectedArgument, .missingArgument, .unusedValue, .assertionFailure, .fileNotFound, .fileTimedOut, .fileAccessRestricted, .fileTypeMismatch, .fileParsingError, .circularImport: return self } case .lexerError, .parserError, .unknownError: return self } } /// Returns the the range at which the error occurred within the specified source string. /// If the error occurred at a known location inside an imported file, /// the range and source for that file will be returned instead. func rangeAndSource(with source: String) -> (SourceRange, source: String)? { if case let .runtimeError(runtimeError) = self, case let .importError(error, for: _, in: source) = runtimeError.type, error.range != nil { return error.rangeAndSource(with: source) } return range.map { ($0, source) } } /// Returns the error message and line number on which it occured. func messageAndLocation(with source: String) -> String { guard let (range, source) = rangeAndSource(with: source) else { return message } let (line, _) = source.lineAndColumn(at: range.lowerBound) return "\(message) on line \(line)." } /// Returns the source line where the error occurred and range of the error within that line. func errorLineAndRange( with source: String, includingIndent: Bool = false ) -> (line: String, lineRange: SourceRange)? { guard let (range, source) = rangeAndSource(with: source) else { return nil } let lineRange = source.lineRange( at: range.lowerBound, includingIndent: includingIndent ) if lineRange.isEmpty { return nil } let sourceLine = String(source[lineRange]) let lowerBound = max(range.lowerBound, lineRange.lowerBound) let upperBound = min(range.upperBound, lineRange.upperBound) let offset = source.distance(from: lineRange.lowerBound, to: lowerBound) let length = source.distance(from: lowerBound, to: upperBound) let start = sourceLine.index(sourceLine.startIndex, offsetBy: offset) let end = sourceLine.index(start, offsetBy: length) return (sourceLine, start ..< end) } /// Returns the source line where the error occurred, with the error itself underlined. func annotatedErrorLine( with source: String, includingIndent: Bool = false ) -> String? { guard let (line, range) = errorLineAndRange( with: source, includingIndent: includingIndent ) else { return nil } let indentString = line[..(in string: S) -> Int { string.reduce(0) { count, c in let scalars = c.unicodeScalars if scalars.count > 1 || (scalars.first?.value ?? 0) > 0x238C { return count + 1 } return count } } private func emojiSpacing(for string: S) -> Int { Int(Double(numberOfEmoji(in: string)) * 1.25) } ShapeScript-1.6.14/ShapeScript/RandomSequence.swift000066400000000000000000000014511450355336000222510ustar00rootroot00000000000000// // RandomSequence.swift // ShapeScript // // Created by Nick Lockwood on 07/11/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // final class RandomSequence { private static let modulus = Double(UInt32.max) + 1 private static let multiplier = 1664525.0 private static let increment = 1013904223.0 private(set) var seed = 0.0 { didSet { seed = seed.truncatingRemainder(dividingBy: RandomSequence.modulus) } } // create sequence with specific seed init(seed: Double) { self.seed = seed } // compute next seed and return value as double in range 0.0 ..< 1.0 func next() -> Double { seed = seed * RandomSequence.multiplier + RandomSequence.increment return seed / RandomSequence.modulus } } ShapeScript-1.6.14/ShapeScript/SVGPath+Path.swift000066400000000000000000000147311450355336000215110ustar00rootroot00000000000000// // SVGPath+Path.swift // ShapeScript Lib // // Created by Nick Lockwood on 11/04/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import Euclid #if canImport(SVGPath) import SVGPath #endif extension Vector { init(_ svgPoint: SVGPoint) { self.init(svgPoint.x, svgPoint.y) } } extension SVGPoint { init(_ point: Vector) { self.init(x: point.x, y: point.y) } } extension Path { /// Creates a path from an SVGPath init(_ svgPath: SVGPath, detail: Int = 4, color: Color? = nil) { self.init(subpaths: svgPath.paths(detail: detail, color: color)) } } extension SVGPath { /// Creates an array of paths from an SVGPath func paths(detail: Int = 4, color: Color? = nil) -> [Path] { var paths = [Path]() var points = [PathPoint]() var startingPoint = Vector.zero var firstCommand: SVGCommand? var lastCommand: SVGCommand? func endPath() { if points.count > 1 { if points.count > 2, points.first == points.last, let firstCommand = firstCommand { updateLastPoint(nextCommand: firstCommand) } paths.append(Path(points)) } points.removeAll() firstCommand = nil } func updateLastPoint(nextCommand: SVGCommand) { if points.isEmpty { points.append(.point(startingPoint, color: color)) return } guard let lastElement = lastCommand else { return } let p0, p1, p2: Vector, isCurved: Bool switch nextCommand { case .moveTo: points[points.count - 1].isCurved = false return case .end: if let firstElement = firstCommand { updateLastPoint(nextCommand: firstElement) } return case let .lineTo(point): p2 = Vector(point) isCurved = false case let .quadratic(control, _), let .cubic(control, _, _): p2 = Vector(control) isCurved = true case .arc: preconditionFailure() } switch lastElement { case .moveTo, .end: return case let .lineTo(point): guard points.count > 1, isCurved else { return } p0 = points[points.count - 2].position p1 = Vector(point) case let .quadratic(control, point), let .cubic(_, control, point): p0 = Vector(control) p1 = Vector(point) case .arc: preconditionFailure() } let d0 = (p1 - p0).normalized() let d1 = (p2 - p1).normalized() let isTangent = abs(d0.dot(d1)) > 0.99 points[points.count - 1].isCurved = isTangent } func addCommand(_ command: SVGCommand) { switch command { case let .moveTo(point): endPath() startingPoint = Vector(point) case let .lineTo(point): updateLastPoint(nextCommand: command) points.append(.point(Vector(point), color: color)) case let .quadratic(p1, p2): updateLastPoint(nextCommand: command) guard detail > 0 else { points.append(.curve(Vector(p1), color: color)) points.append(.point(Vector(p2), color: color)) break } let detail = max(detail, 2) var t = 0.0 let step = 1 / Double(detail) let p0 = points.last?.position ?? startingPoint for _ in 1 ..< detail { t += step points.append(.curve( quadraticBezier(p0.x, p1.x, p2.x, t), quadraticBezier(p0.y, p1.y, p2.y, t), color: color )) } points.append(.point(Vector(p2), color: color)) case let .cubic(p1, p2, p3): updateLastPoint(nextCommand: command) guard detail > 0 else { points.append(.curve(Vector(p1), color: color)) points.append(.curve(Vector(p2), color: color)) points.append(.point(Vector(p3), color: color)) break } let detail = max(detail * 2, 3) var t = 0.0 let step = 1 / Double(detail) let p0 = points.last?.position ?? startingPoint for _ in 1 ..< detail { t += step points.append(.curve( cubicBezier(p0.x, p1.x, p2.x, p3.x, t), cubicBezier(p0.y, p1.y, p2.y, p3.y, t), color: color )) } points.append(.point(Vector(p3), color: color)) case let .arc(arc): let p0 = points.last?.position ?? startingPoint arc.asBezierPath(from: SVGPoint(p0)).forEach(addCommand) return case .end: if points.last?.position != points.first?.position { points.append(points[0]) } startingPoint = points.first?.position ?? .zero endPath() } switch command { case .moveTo, .end: break default: firstCommand = command } lastCommand = command } commands.forEach(addCommand) endPath() return paths } } private func quadraticBezier( _ p0: Double, _ p1: Double, _ p2: Double, _ t: Double ) -> Double { let oneMinusT = 1 - t let c0 = oneMinusT * oneMinusT * p0 let c1 = 2 * oneMinusT * t * p1 let c2 = t * t * p2 return c0 + c1 + c2 } private func cubicBezier( _ p0: Double, _ p1: Double, _ p2: Double, _ p3: Double, _ t: Double ) -> Double { let oneMinusT = 1 - t let oneMinusTSquared = oneMinusT * oneMinusT let c0 = oneMinusTSquared * oneMinusT * p0 let c1 = 3 * oneMinusTSquared * t * p1 let c2 = 3 * oneMinusT * t * t * p2 let c3 = t * t * t * p3 return c0 + c1 + c2 + c3 } ShapeScript-1.6.14/ShapeScript/Scene+SceneKit.swift000066400000000000000000000330261450355336000221010ustar00rootroot00000000000000// // Scene+SceneKit.swift // ShapeScript // // Created by Nick Lockwood on 27/09/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // import Euclid #if canImport(SceneKit) import SceneKit #if canImport(UIKit) typealias OSColor = UIColor typealias OSImage = UIImage #else typealias OSColor = NSColor typealias OSImage = NSImage #endif public extension MaterialProperty { func configureProperty(_ property: SCNMaterialProperty) { switch self { case let .color(color): property.contents = OSColor(color) case let .texture(texture): switch texture { case let .file(_, url): property.contents = url case let .data(data): property.contents = data } } } } public extension SCNMaterial { convenience init(_ m: Material, isOpaque: Bool) { self.init() if let texture = m.texture { MaterialProperty.texture(texture).configureProperty(diffuse) } else if let color = m.color { MaterialProperty.color(color).configureProperty(diffuse) } transparency = CGFloat(m.opacity) isDoubleSided = !isOpaque transparencyMode = isOpaque ? .default : .dualLayer } } private extension SCNGeometry { convenience init(_ mesh: Mesh, for geometry: Geometry) { self.init(mesh, materialLookup: { SCNMaterial($0 as? Material ?? geometry.material, isOpaque: geometry.isOpaque) }) } } public extension SCNNode { convenience init(_ geometry: Geometry) { self.init(geometry: geometry.scnGeometry) setTransform(geometry.transform) geometry.scnNode = self name = geometry.name if let light = geometry.light { self.light = SCNLight(light) } // debug wireframe // geometry.mesh.map { self.addChildNode(SCNNode( // geometry: SCNGeometry(wireframe: $0) // )) } // debug normals // geometry.mesh.map { self.addChildNode(SCNNode( // geometry: SCNGeometry(normals: $0, scale: 0.1) // )) } // debug bounds // self.addChildNode(SCNNode( // geometry: SCNGeometry(geometry.bounds) // )) // debug holes // geometry.mesh.map { self.addChildNode(SCNNode( // geometry: SCNGeometry($0.polygons.holeEdges) // )) } if geometry.renderChildren || geometry.childDebug { geometry.children.forEach { addChildNode(SCNNode($0)) } } } convenience init(merged geometry: Geometry) { let mesh = geometry.merged() self.init(geometry: SCNGeometry(mesh, for: geometry)) } } private struct DataKey: Hashable { var debug: Bool var options: Scene.OutputOptions } private extension Geometry { var scnData: [DataKey: SCNGeometry] { get { associatedData as? [DataKey: SCNGeometry] ?? [:] } set { associatedData = newValue } } } public extension Scene { struct OutputOptions: Hashable { public static let `default` = OutputOptions() /// Line width to use for path drawing public var lineWidth: Double = 0.005 /// Color to use for line or wireframe drawing public var lineColor: Color = .black /// Material to use for debug geometry public var debugMaterial: Material? = Material( color: Color.green.withAlpha(0.5) ) /// Should mesh be drawn using wireframe public var wireframe: Bool = false /// Line width to use for wireframe drawing /// The default value of zero uses native line drawing public var wireframeLineWidth: Double = 0 } func outputOptions( for camera: Camera?, backgroundColor: Color?, wireframe: Bool ) -> OutputOptions { var options = OutputOptions.default let color = backgroundColor ?? .gray let size = bounds.size options.lineWidth = max(0.005, 0.002 * max(size.x, size.y, size.z)) let background = camera?.background ?? self.background options.lineColor = background.brightness(over: color) > 0.5 ? .black : .white options.wireframe = wireframe #if arch(x86_64) // Use stroke on x86 as line rendering looks bad options.wireframeLineWidth = options.lineWidth / 2 #endif return options } func scnBuild(with options: OutputOptions) { children.scnBuild(with: options, debug: false) } } private var scnNodeKey: UInt8 = 1 private var scnGeometryKey: UInt8 = 1 public extension Geometry { fileprivate(set) var scnNode: SCNNode? { get { objc_getAssociatedObject(self, &scnNodeKey) as? SCNNode } set { objc_setAssociatedObject( self, &scnNodeKey, newValue, .OBJC_ASSOCIATION_RETAIN_NONATOMIC ) } } fileprivate(set) var scnGeometry: SCNGeometry { get { objc_getAssociatedObject( self, &scnGeometryKey ) as? SCNGeometry ?? SCNGeometry() } set { objc_setAssociatedObject( self, &scnGeometryKey, newValue, .OBJC_ASSOCIATION_RETAIN_NONATOMIC ) } } func scnBuild(with options: Scene.OutputOptions) { if renderChildren || childDebug { children.scnBuild(with: options, debug: !renderChildren) } let key = DataKey(debug: debug, options: options) if let scnGeometry = scnData[key] { self.scnGeometry = scnGeometry return } else if let light = light { if debug, let material = options.debugMaterial, !options.wireframe { let mesh: Mesh switch (light.hasPosition, light.hasOrientation) { case (false, _): return case (true, false): mesh = .sphere(radius: 0.1) case (true, true): let adjacent = 10000.0 let opposite = tan(min(light.spread, .pi * 0.999) / 2) * adjacent mesh = Mesh.lathe(Path([ .point(0, 0, 0), .point(0, -opposite, adjacent), .point(0, 0, adjacent), ]), slices: 64).rotated(by: transform.rotation) } let geometry = SCNGeometry(mesh) let material = SCNMaterial(material, isOpaque: false) material.lightingModel = .constant geometry.materials = [material] scnData[key] = geometry scnGeometry = geometry } } else if let path = path { if options.wireframe { let wireframe = SCNGeometry(.stroke( path.with(color: nil), width: options.lineWidth, detail: 5 )) let material = SCNMaterial() material.lightingModel = .constant material.diffuse.contents = OSColor(options.lineColor) wireframe.materials = [material] scnData[key] = wireframe scnGeometry = wireframe } else { let geometry: SCNGeometry if debug, let material = options.debugMaterial { geometry = SCNGeometry(.stroke( path.with(color: nil), width: options.lineWidth, detail: 5 )) geometry.materials = [SCNMaterial(material, isOpaque: false)] } else { geometry = SCNGeometry(.stroke( path, width: options.lineWidth, detail: 5 )) let lineColor = path.hasColors ? Color.white : self.material.color ?? options.lineColor let material = SCNMaterial() material.lightingModel = .constant material.diffuse.contents = OSColor(lineColor) geometry.materials = [material] } scnData[key] = geometry scnGeometry = geometry } } else if let mesh = mesh { if options.wireframe { let wireframe = options.wireframeLineWidth > 0 ? SCNGeometry(.stroke( mesh.uniqueEdges, width: options.wireframeLineWidth, detail: 3 )) : SCNGeometry(wireframe: mesh) let material = SCNMaterial() material.lightingModel = .constant material.diffuse.contents = OSColor(options.lineColor) wireframe.materials = [material] scnData[key] = wireframe scnGeometry = wireframe } else { var geometry: SCNGeometry if debug, let material = options.debugMaterial { let m = SCNMaterial(material, isOpaque: false) geometry = SCNGeometry(mesh.scaled(by: 1.001)) { _ in m } } else { geometry = SCNGeometry(mesh, for: self) } scnData[key] = geometry scnGeometry = geometry } } } } private extension Array where Element == Geometry { func scnBuild(with options: Scene.OutputOptions, debug: Bool) { for child in self { if debug, !child.debug { child.children.scnBuild(with: options, debug: true) } else { child.scnBuild(with: options) } } } } public extension MaterialProperty { init?(_ scnMaterialProperty: SCNMaterialProperty) { switch scnMaterialProperty.contents { case let color as OSColor: self = .color(Color(color)) case let image as OSImage: guard let texture = Texture(image) else { return nil } self = .texture(texture) case let data as Data: self = .texture(.data(data)) case let url as URL: self = .texture(.file(name: url.lastPathComponent, url: url)) default: return nil } } } public extension Material { init?(_ scnMaterial: SCNMaterial) { opacity = Double(scnMaterial.transparency) switch MaterialProperty(scnMaterial.diffuse) { case let .color(color)? where color != .white: self.color = color texture = nil case let .texture(texture)?: color = nil self.texture = texture default: color = nil texture = nil } } } public extension Geometry { convenience init(_ scnNode: SCNNode) throws { let type: GeometryType var transform = Transform.transform(from: scnNode) if let scnCamera = scnNode.camera { let isOrtho = scnCamera.usesOrthographicProjection if isOrtho { transform.scale *= scnCamera.orthographicScale } type = .camera(Camera( position: transform.offset, orientation: transform.rotation, scale: isOrtho ? transform.scale : nil, background: nil, fov: .degrees(isOrtho ? 0 : Double(scnCamera.fieldOfView)), width: nil, height: nil )) } else if let scnGeometry = scnNode.geometry { guard let mesh = Mesh( scnGeometry, materialLookup: Material.init(_:) ) else { throw ProgramError.unknownError(nil) } type = .mesh(mesh) } else { type = .group } try self.init( type: type, name: scnNode.name, transform: transform, material: .default, smoothing: nil, children: scnNode.childNodes.map(Geometry.init(_:)), sourceLocation: nil ) } } public extension SCNLight { convenience init(_ light: Light) { self.init() switch (light.hasPosition, light.hasOrientation) { case (false, false): type = .ambient case (false, true): type = .directional case (true, false): type = .omni case (true, true): type = .spot } color = OSColor(light.color) intensity = CGFloat(light.color.a * 1000) spotOuterAngle = CGFloat(light.spread.degrees) spotInnerAngle = CGFloat(1 - max(0, min(1, light.penumbra))) * spotOuterAngle } } extension Texture { init?(_ image: OSImage) { #if canImport(UIKit) guard let data = image.pngData() else { return nil } #else guard let cgImage = image .cgImage(forProposedRect: nil, context: nil, hints: nil), let data = NSBitmapImageRep(cgImage: cgImage) .representation(using: .png, properties: [:]) else { return nil } #endif self = .data(data) } } extension OSImage { convenience init?(_ texture: Texture) { switch texture { case let .data(data): self.init(data: data) case let .file(name: _, url: url): self.init(contentsOfFile: url.path) } } } #endif ShapeScript-1.6.14/ShapeScript/Scene.swift000066400000000000000000000031331450355336000203740ustar00rootroot00000000000000// // Scene.swift // ShapeScript // // Created by Nick Lockwood on 27/09/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // import Euclid import Foundation public final class Scene { public let background: MaterialProperty public let children: [Geometry] public let cameras: [Geometry] public let cache: GeometryCache? public init( background: MaterialProperty, children: [Geometry], cache: GeometryCache? ) { self.background = background self.children = children cameras = children.flatMap { $0._cameras } self.cache = cache children.forEach { $0.cache = cache } } } extension Scene: Equatable { public static func == (lhs: Scene, rhs: Scene) -> Bool { lhs.background == rhs.background && lhs.children == rhs.children && lhs.cameras == rhs.cameras } } public extension Scene { static let empty = Scene(background: .color(.clear), children: [], cache: nil) /// Returns the approximate (overestimated) bounds of the scene geometry. var bounds: Bounds { children.reduce(into: .empty) { $0.formUnion($1.bounds.transformed(by: $1.transform)) } } func build(_ callback: @escaping () -> Bool) -> Bool { for geometry in children where !geometry.build(callback) { return false } return true } } private extension Geometry { var _cameras: [Geometry] { guard case .camera = type else { return children.flatMap { $0._cameras } } return [self] } } ShapeScript-1.6.14/ShapeScript/StandardLibrary.swift000066400000000000000000000616731450355336000224410ustar00rootroot00000000000000// // StandardLibrary.swift // ShapeScript // // Created by Nick Lockwood on 18/12/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // import Euclid import Foundation #if canImport(SVGPath) import SVGPath #endif /// Standard library symbols. Useful for syntax highlighting public let stdlibSymbols: Set = { var keys = Set() for (key, symbol) in Symbols.all { keys.insert(key) switch symbol { case let .block(type, _): keys.formUnion(type.options.keys) case .function, .property, .constant, .option, .placeholder: break } } return keys }() extension Dictionary where Key == String, Value == Symbol { static func + (lhs: Symbols, rhs: Symbols) -> Symbols { lhs.merging(rhs) { $1 } } static let transform: Symbols = [ "position": .property(.vector, { parameter, context in context.transform.offset = parameter.vectorValue }, { context in .vector(context.transform.offset) }), "orientation": .property(.rotation, { parameter, context in context.transform.rotation = parameter.rotationValue }, { context in .rotation(context.transform.rotation) }), "size": .property(.size, { parameter, context in context.transform.scale = parameter.vectorValue }, { context in .size(context.transform.scale) }), ] static let childTransform: Symbols = [ "translate": .command(.vector) { parameter, context in let vector = parameter.vectorValue context.childTransform.translate(by: vector) }, "rotate": .command(.rotation) { parameter, context in let rotation = parameter.rotationValue context.childTransform.rotate(by: rotation) }, "scale": .command(.size) { parameter, context in let scale = parameter.vectorValue context.childTransform.scale(by: scale) }, ] static let colors: Symbols = [ "white": .constant(.color(.white)), "black": .constant(.color(.black)), "gray": .constant(.color(.gray)), "grey": .constant(.color(.gray)), "red": .constant(.color(.red)), "green": .constant(.color(.green)), "blue": .constant(.color(.blue)), "yellow": .constant(.color(.yellow)), "cyan": .constant(.color(.cyan)), "magenta": .constant(.color(.magenta)), "orange": .constant(.color(.orange)), ] static let color: Symbols = colors + [ "color": .property(.color, { parameter, context in context.material.color = parameter.colorValue }, { context in .color(context.material.color ?? .white) }), ] static let material: Symbols = color + [ "opacity": .property(.number, { parameter, context in context.material.opacity = parameter.doubleValue * context.opacity }, { context in .number(context.material.opacity / context.opacity) }), "texture": .property(.texture, { parameter, context in context.material.texture = parameter.value as? Texture }, { context in .texture(context.material.texture) }), ] static let polygons: Symbols = [ "polygon": .block(.polygons) { context in let path = Path(context.children.compactMap { $0.value as? PathPoint }).transformed(by: context.transform) let polygons = path.closed().facePolygons(material: context.material) return .tuple(polygons.map { .polygon($0) }) }, ] static let meshes: Symbols = [ // primitives "cone": .block(.shape) { context in .mesh(Geometry(type: .cone(segments: context.detail), in: context)) }, "cylinder": .block(.shape) { context in .mesh(Geometry(type: .cylinder(segments: context.detail), in: context)) }, "sphere": .block(.shape) { context in .mesh(Geometry(type: .sphere(segments: context.detail), in: context)) }, "cube": .block(.shape) { context in .mesh(Geometry(type: .cube, in: context)) }, // container "group": .block(.group) { context in .mesh(Geometry(type: .group, in: context)) }, // builders "extrude": .block(.custom(.builder, [ "along": .list(.path), "twist": .halfturns, "axisAligned": .boolean, ], .path, .list(.mesh))) { context in let twist = context.value(for: "twist")?.angleValue ?? .zero let align: Path.Alignment = context.value(for: "axisAligned").map { $0.boolValue ? .axis : .tangent } ?? .default if let along = context.value(for: "along")?.tupleValue as? [Path] { // shapes follow a common path // TODO: modify this to reuse meshes where possible return .mesh(Geometry(type: .extrude(context.paths, .init( along: along.map { $0.withDetail(context.detail, twist: twist) }, twist: twist, align: align )), in: context)) } if twist == .zero { // Fast path - can reuse meshes (good for text) // TODO: modify to return separate meshes rather than union return .mesh(Geometry( type: .extrude(context.paths, .default), in: context )) } // Slow path, each calculated separately, no reuse // TODO: modify this to reuse meshes where possible return .tuple(context.paths.map { let vector = $0.faceNormal / 2 let along = Path.line(-vector, vector) .withDetail(context.detail, twist: twist) return .mesh(Geometry(type: .extrude([$0], .init( along: [along], twist: twist, align: align )), in: context)) }) }, "lathe": .block(.builder) { context in .mesh(Geometry( type: .lathe(context.paths, segments: context.detail), in: context )) }, "loft": .block(.builder) { context in .mesh(Geometry(type: .loft(context.paths), in: context)) }, "fill": .block(.builder) { context in .mesh(Geometry(type: .fill(context.paths), in: context)) }, "hull": .block(.hull) { context in let vertices = try context.children.flatMap { child -> [Vertex] in switch child { case let .point(point): return [Vertex(point)] case let .path(path): return path.subpaths.flatMap { $0.edgeVertices } case let .mesh(geometry): if let path = geometry.path { return path.subpaths.flatMap { $0.edgeVertices } } return [] // handled at mesh generation time default: throw RuntimeErrorType.assertionFailure( "Unexpected child of type \(child.type) in hull" ) } } return .mesh(Geometry(type: .hull(vertices), in: context)) }, // mesh "mesh": .block(.mesh) { context in let polygons = context.children.compactMap { $0.value as? Polygon } return .mesh(Geometry(type: .mesh(Mesh(polygons)), in: context)) }, // csg "union": .block(.group) { context in .mesh(Geometry(type: .union, in: context)) }, "difference": .block(.group) { context in .mesh(Geometry(type: .difference, in: context)) }, "intersection": .block(.group) { context in .mesh(Geometry(type: .intersection, in: context)) }, "xor": .block(.group) { context in .mesh(Geometry(type: .xor, in: context)) }, "stencil": .block(.group) { context in .mesh(Geometry(type: .stencil, in: context)) }, // lights "light": .block(.custom(.node, [ "position": .vector, "orientation": .rotation, "color": .color, "spread": .halfturns, "penumbra": .number, ], .void, .mesh)) { context in let position = context.value(for: "position")?.value as? Vector position.map { context.transform.offset = $0 } let orientation = context.value(for: "orientation")?.value as? Rotation orientation.map { context.transform.rotation = $0 } return .mesh(Geometry( type: .light(Light( position: position, orientation: orientation, color: context.value(for: "color")?.colorValue ?? .white, spread: context.value(for: "spread")?.angleValue ?? (.pi / 4), penumbra: context.value(for: "penumbra")?.doubleValue ?? 1 )), in: context )) }, // debug "debug": .block(.group) { context in context.children.forEach { if case let .mesh(geometry) = $0 { geometry.debug = true } } if context.children.count == 1, case let .mesh(child) = context.children[0] { return .mesh(child) } return .mesh(Geometry(type: .group, in: context)) }, ] static let paths: Symbols = [ "path": .block(.path) { context in var subpaths = [Path]() var points = [PathPoint]() func endPath() { if !points.isEmpty { subpaths.append(.curve(points, detail: context.detail / 4)) } points.removeAll() } for child in context.children { switch child { case let .point(point): points.append(point) case let .path(path): endPath() subpaths.append(path) case .tuple: // Special case due to tuple type returning element type throw RuntimeErrorType.assertionFailure( "Unexpected child of type tuple in path" ) default: throw RuntimeErrorType.assertionFailure( "Unexpected child of type \(child.errorDescription) in path" ) } } endPath() if subpaths.count != 1 { subpaths = [Path(subpaths: subpaths)] } return .path(subpaths[0].transformed(by: context.transform)) }, "arc": .block(.custom(.polygon, [ "angle": .halfturns, ], .void, .list(.point))) { context in let angle = context.value(for: "angle")?.angleValue ?? .pi let span = Swift.max(0, Swift.min(1, abs(angle.radians) / (2 * .pi))) var segments = Int(ceil(span * Double(context.detail))) switch span { case 0 ..< 0.5: segments = Swift.max(1, segments) case 0.5 ..< 1: segments = Swift.max(2, segments) default: segments = Swift.max(3, segments) } return .path(Path.arc( angle: angle, segments: segments, color: context.material.color ).transformed(by: context.transform)) }, "circle": .block(.pathShape) { context in .path(Path.circle( segments: context.detail, color: context.material.color ).transformed(by: context.transform)) }, "square": .block(.pathShape) { context in .path(Path.square( color: context.material.color ).transformed(by: context.transform)) }, "polygon": .block(.custom(.polygon, [ "sides": .number, ], .optional(.point), .union([.path, .list(.polygon)]))) { context in let sides = context.value(for: "sides")?.intValue let points = context.children.compactMap { $0.value as? PathPoint } if !points.isEmpty { if sides != nil { throw RuntimeErrorType.assertionFailure("Polygon cannot have both sides and points") } let path = Path(points).transformed(by: context.transform) let polygons = path.closed().facePolygons(material: context.material) return .tuple(polygons.map { .polygon($0) }) } return .path(Path.polygon( sides: sides ?? 5, color: context.material.color ).transformed(by: context.transform)) }, "roundrect": .block(.custom(.pathShape, [ "radius": .number, "size": .size, ], .void, .path)) { context in let size = context.value(for: "size")?.value as? Vector ?? .one let scale = Swift.min(size.x, size.y) let radius = (context.value(for: "radius")?.doubleValue ?? 0.25) * scale return .path(Path.roundedRectangle( width: size.x, height: size.y, radius: radius, detail: context.detail / 4, color: context.material.color ).transformed(by: context.transform)) }, "text": .block(.custom(.pathShape, [ "font": .font, "wrapwidth": .number, "linespacing": .number, ], .text, .list(.path))) { context in let width = context.value(for: "wrapwidth")?.doubleValue let text = context.children.compactMap { $0.value as? TextValue } let paths = Path.text(text, width: width, detail: context.detail / 8) return .tuple(paths.map { .path($0.transformed(by: context.transform)) }) }, "svgpath": .block(.custom(.pathShape, [:], .string, .path)) { context in let text = context.children.map { $0.stringValue }.joined(separator: "\n") let svgPath: SVGPath do { svgPath = try SVGPath(string: text) } catch let error as SVGError { throw RuntimeErrorType.assertionFailure(error.message) } return .path(Path( svgPath, detail: context.detail / 4, color: context.material.color ).transformed(by: context.transform)) }, ] static let points: Symbols = [ "point": .command(.vector) { parameter, context in try context.addValue(.point(.point( parameter.vectorValue, color: context.material.color ))) }, ] static let pathPoints: Symbols = _merge(points, [ "curve": .command(.vector) { parameter, context in try context.addValue(.point(.curve( parameter.vectorValue, color: context.material.color ))) }, ]) static let functions: Symbols = [ // Debug "print": .command(.list(.any)) { value, context in context.debugLog(value.tupleValue) }, "assert": .command(.boolean) { value, _ in if !value.boolValue { throw RuntimeErrorType.assertionFailure("") } }, // Logic "true": .constant(.boolean(true)), "false": .constant(.boolean(false)), "not": .function(.boolean, .boolean) { value, _ in .boolean(!value.boolValue) }, // Randomness "rnd": .function(.void, .number) { _, context in .number(context.random.next()) }, "seed": .property(.number, { value, context in context.random = RandomSequence(seed: value.doubleValue) }, { context in .number(Double(context.random.seed)) }), // Math "abs": .function(.number, .number) { value, _ in .number(value.doubleValue.magnitude) }, "sign": .function(.number, .number) { value, _ in switch value.doubleValue { case 0: return .number(0) case ..<0: return .number(-1) default: return .number(1) } }, "ceil": .function(.number, .number) { value, _ in .number(value.doubleValue.rounded(.up)) }, "floor": .function(.number, .number) { value, _ in .number(value.doubleValue.rounded(.down)) }, "round": .function(.number, .number) { value, _ in .number(value.doubleValue.rounded()) }, "max": .function(.list(.number), .number) { value, _ in .number(value.doublesValue.max() ?? 0) }, "min": .function(.list(.number), .number) { value, _ in .number(value.doublesValue.min() ?? 0) }, "sqrt": .function(.number, .number) { value, _ in .number(sqrt(value.doubleValue)) }, "pow": .function(.numberPair, .number) { value, _ in let values = value.doublesValue return .number(pow(values[0], values[1])) }, // Trigonometry "cos": .function(.radians, .number) { value, _ in .number(cos(value.doubleValue)) }, "acos": .function(.number, .radians) { value, _ in .radians(acos(value.doubleValue)) }, "sin": .function(.radians, .number) { value, _ in .number(sin(value.doubleValue)) }, "asin": .function(.number, .radians) { value, _ in .radians(asin(value.doubleValue)) }, "tan": .function(.radians, .number) { value, _ in .number(tan(value.doubleValue)) }, "atan": .function(.number, .radians) { value, _ in .radians(atan(value.doubleValue)) }, "atan2": .function(.numberPair, .radians) { value, _ in let values = value.doublesValue return .radians(atan2(values[0], values[1])) }, "pi": .constant(.number(.pi)), // Linear algebra "dot": .function(.tuple([.list(.number), .list(.number)]), .number) { value, _ in let values = value.tupleValue as! [[Double]] return .number(zip(values[0], values[1]).map { $0 * $1 }.reduce(0, +)) }, "cross": .function(.tuple([.vector, .vector]), .list(.number)) { value, _ in let values = value.tupleValue as! [Vector] return .tuple(values[0].cross(values[1]).components.map { .number($0) }) }, "length": .function(.list(.number), .number) { value, _ in let values = value.tupleValue as! [Double] return .number(sqrt(values.map { $0 * $0 }.reduce(0, +))) }, "normalize": .function(.list(.number), .list(.number)) { value, _ in let values = value.tupleValue as! [Double] let length = sqrt(values.map { $0 * $0 }.reduce(0, +)) return .tuple(values.map { .number(length > 0 ? $0 / length : 0) }) }, // Strings "split": .function(.tuple([.string, .string]), .list(.string)) { value, _ in let string = value.tupleValue[0] as! String let separator = value.tupleValue[1] as! String return .tuple(string .components(separatedBy: separator) .map { .string($0) }) }, "join": .function(.tuple([.list(.any), .string]), .string) { value, _ in guard case let .tuple(args) = value, args.count == 2, case let .tuple(stringValues) = args[0], case let .string(separator) = args[1] else { throw RuntimeErrorType.assertionFailure( "Invalid arguments to join function" ) } let strings = stringValues.map { $0.stringValue } return .string(strings.joined(separator: separator)) }, "trim": .function(.string, .string) { value, _ in .string(value.stringValue.trimmingCharacters( in: .whitespacesAndNewlines )) }, ] static let name: Symbols = [ "name": .property(.string, { parameter, context in context.name = parameter.stringValue }, { context in .string(context.name) }), ] static let background: Symbols = [ "background": .getter(.colorOrTexture) { context in .colorOrTexture(context.background ?? .color(.clear)) }, ] static let font: Symbols = [ "font": .property(.font, { parameter, context in context.font = parameter.stringValue }, { context in .string(context.font) }), ] static let detail: Symbols = [ "detail": .property(.number, { parameter, context in // TODO: throw error if min/max detail level exceeded context.detail = Swift.max(0, parameter.intValue) }, { context in .number(Double(context.detail)) }), ] static let smoothing: Symbols = [ "smoothing": .property(.halfturns, { parameter, context in // TODO: find a better way to represent null/auto let angle = Swift.min(.pi, parameter.angleValue ?? .zero) context.smoothing = angle < .zero ? nil : angle }, { context in .halfturns(context.smoothing.map { $0.halfturns } ?? -1) }), ] static let root: Symbols = _merge(global, font, detail, smoothing, material, childTransform, [ "camera": .block(.custom(.node, [ "position": .vector, "orientation": .rotation, "size": .size, "background": .colorOrTexture, "fov": .halfturns, "width": .number, "height": .number, ], .void, .mesh)) { context in let position = context.value(for: "position")?.value as? Vector position.map { context.transform.offset = $0 } let orientation = context.value(for: "orientation")?.value as? Rotation orientation.map { context.transform.rotation = $0 } let scale = context.value(for: "size")?.value as? Vector scale.map { context.transform.scale = $0 } return .mesh(Geometry( type: .camera(Camera( position: position, orientation: orientation, scale: scale, background: context.value(for: "background")?.colorOrTextureValue, fov: context.value(for: "fov")?.angleValue, width: context.value(for: "width")?.doubleValue, height: context.value(for: "height")?.doubleValue )), in: context )) }, "background": .property(.colorOrTexture, { parameter, context in context.background = MaterialProperty(parameter.value) }, { context in .colorOrTexture(context.background ?? .color(.clear)) }), ]) static let global: Symbols = _merge(functions, colors, meshes, paths) static let node: Symbols = _merge(transform, name, background) static let shape: Symbols = _merge(node, detail, smoothing, material) static let group: Symbols = _merge(shape, childTransform, font) static let user: Symbols = _merge(shape, font) static let builder: Symbols = group static let hull: Symbols = _merge(group, points) static let polygon: Symbols = _merge(transform, childTransform, points, color) static let mesh: Symbols = _merge(node, smoothing, color, childTransform, polygons) static let pathShape: Symbols = _merge(transform, detail, color, background) static let path: Symbols = _merge(pathShape, childTransform, font, pathPoints) static let definition: Symbols = _merge(root, pathPoints) static let all: Symbols = _merge(definition, shape, path) } extension EvaluationContext { var paths: [Path] { children.compactMap { $0.value as? Path } } } extension Geometry { convenience init(type: GeometryType, in context: EvaluationContext) { self.init( type: type, name: context.name, transform: context.transform, material: context.material, smoothing: context.smoothing, children: context.children.compactMap { $0.value as? Geometry }, sourceLocation: context.sourceLocation ) } } private func _merge(_ symbols: Symbols...) -> Symbols { var result = Symbols() for symbols in symbols { result.merge(symbols) { $1 } } return result } ShapeScript-1.6.14/ShapeScript/String+Matching.swift000066400000000000000000000045301450355336000223350ustar00rootroot00000000000000// // String+Matching.swift // ShapeScript Lib // // Created by Nick Lockwood on 14/09/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // extension String { /// Return the closest matches for the string in the given list of options public func bestMatches(in options: [String]) -> [String] { let lowercaseQuery = lowercased() // Sort matches by Levenshtein edit distance return options .compactMap { option -> (String, distance: Int, commonPrefix: Int)? in guard option != self else { return nil } let lowercaseOption = option.lowercased() let distance = lowercaseOption.editDistance(from: lowercaseQuery) let commonPrefix = lowercaseOption.commonPrefix(with: lowercaseQuery) if commonPrefix.isEmpty, distance > lowercaseQuery.count / 2 { return nil } return (option, distance, commonPrefix.count) } .sorted { if $0.distance == $1.distance { return $0.commonPrefix > $1.commonPrefix } return $0.distance < $1.distance } .map { $0.0 } } /// The Damerau-Levenshtein edit-distance between two strings func editDistance(from other: String) -> Int { let lhs = Array(self) let rhs = Array(other) var dist = [[Int]]() for i in stride(from: 0, through: lhs.count, by: 1) { dist.append([i]) } for j in stride(from: 1, through: rhs.count, by: 1) { dist[0].append(j) } for i in stride(from: 1, through: lhs.count, by: 1) { for j in stride(from: 1, through: rhs.count, by: 1) { if lhs[i - 1] == rhs[j - 1] { dist[i].append(dist[i - 1][j - 1]) } else { dist[i].append(Swift.min(dist[i - 1][j] + 1, dist[i][j - 1] + 1, dist[i - 1][j - 1] + 1)) } if i > 1, j > 1, lhs[i - 1] == rhs[j - 2], lhs[i - 2] == rhs[j - 1] { dist[i][j] = Swift.min(dist[i][j], dist[i - 2][j - 2] + 1) } } } return dist[lhs.count][rhs.count] } } ShapeScript-1.6.14/ShapeScript/String+Ordinals.swift000066400000000000000000000030301450355336000223500ustar00rootroot00000000000000// // String+Ordinals.swift // ShapeScript Lib // // Created by Nick Lockwood on 09/09/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // extension String { var isOrdinal: Bool { ordinalIndex != nil } var ordinalIndex: Int? { indicesByOrdinal[lowercased()] } static var ordinals: [String] = { let ordinalsToNinth = [ "first", "second", "third", "fourth", "fifth", "sixth", "seventh", "eighth", "ninth", ] var result = ordinalsToNinth + [ "tenth", "eleventh", "twelfth", "thirteenth", "fourteenth", "fifteenth", "sixteenth", "seventeenth", "eighteenth", "nineteenth", ] result += ["twentieth"] + ordinalsToNinth.map { "twenty\($0)" } result += ["thirtieth"] + ordinalsToNinth.map { "thirty\($0)" } result += ["fortieth"] + ordinalsToNinth.map { "forty\($0)" } result += ["fiftieth"] + ordinalsToNinth.map { "fifty\($0)" } result += ["sixtieth"] + ordinalsToNinth.map { "sixty\($0)" } result += ["seventieth"] + ordinalsToNinth.map { "seventy\($0)" } result += ["eightieth"] + ordinalsToNinth.map { "eighty\($0)" } result += ["ninetieth"] + ordinalsToNinth.map { "ninety\($0)" } return result }() static func ordinals(upTo value: Int) -> ArraySlice { ordinals.prefix(value) } } private let indicesByOrdinal: [String: Int] = Dictionary( uniqueKeysWithValues: String.ordinals.enumerated().map { ($1, $0) } ) ShapeScript-1.6.14/ShapeScript/Symbols.swift000066400000000000000000000413401450355336000207710ustar00rootroot00000000000000// // Symbols.swift // ShapeScript Lib // // Created by Nick Lockwood on 23/04/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import Euclid import Foundation // MARK: Symbols typealias Getter = (EvaluationContext) throws -> Value typealias Setter = (Value, EvaluationContext) throws -> Void typealias FunctionType = (parameterType: ValueType, returnType: ValueType) enum Symbol { case function(FunctionType, (Value, EvaluationContext) throws -> Value) case property(ValueType, Setter, Getter) case block(BlockType, Getter) case constant(Value) case placeholder(ValueType) case option(Value) } extension Symbol { static func function( _ parameterType: ValueType, _ returnType: ValueType, _ fn: @escaping (Value, EvaluationContext) throws -> Value ) -> Symbol { .function((parameterType, returnType), fn) } static func command( _ parameterType: ValueType, _ fn: @escaping Setter ) -> Symbol { .function(parameterType, .void) { try fn($0, $1) return .void } } static func getter(_ type: ValueType, _ fn: @escaping Getter) -> Symbol { .function(.void, type) { try fn($1) } } var errorDescription: String { switch self { case .block, .function((_, .void), _): return "command" case .function: return "function" case .property: return "property" case .constant: return "constant" case .option: return "option" case .placeholder: return "placeholder" } } } typealias Symbols = [String: Symbol] // MARK: Values typealias Polygon = Euclid.Polygon enum Value: Hashable { case color(Color) case texture(Texture?) case boolean(Bool) case number(Double) case radians(Double) case halfturns(Double) case vector(Vector) case size(Vector) case rotation(Rotation) case string(String) case text(TextValue) case path(Path) case mesh(Geometry) case polygon(Polygon) case point(PathPoint) case tuple([Value]) case range(RangeValue) case bounds(Bounds) case object([String: Value]) } extension Value: ExpressibleByStringLiteral { init(stringLiteral value: String) { self = .string(value) } } extension Value: ExpressibleByFloatLiteral, ExpressibleByIntegerLiteral { init(floatLiteral value: Double) { self = .number(value) } init(integerLiteral value: Int) { self = .number(Double(value)) } } extension Value: ExpressibleByBooleanLiteral { init(booleanLiteral value: Bool) { self = .boolean(value) } } extension Value: ExpressibleByArrayLiteral { init(arrayLiteral elements: Value...) { self.init(elements) } init(_ elements: [Value]) { self = .tuple(elements) } init(_ elements: Value...) { self = elements.count == 1 ? elements[0] : .tuple(elements) } } extension Value: ExpressibleByDictionaryLiteral { init(dictionaryLiteral elements: (String, Value)...) { self.init(Dictionary(elements) { $1 }) } init(_ elements: [String: Value]) { self = .object(elements) } } struct RangeValue: Hashable, Sequence { var start, end, step: Double init(from start: Double, to end: Double) { self.init(from: start, to: end, step: 1)! } init?(from start: Double, to end: Double, step: Double) { guard step != 0 else { return nil } self.start = start self.end = end self.step = step } func makeIterator() -> StrideThrough.Iterator { let end = self.end + (step > 0 ? 1 : -1) * 0.0000001 return stride(from: start, through: end, by: step).makeIterator() } } struct TextValue: Hashable { var string: String var font: String? var color: Color? var linespacing: Double? } extension Value { static let void: Value = .tuple([]) static func colorOrTexture(_ value: MaterialProperty) -> Value { switch value { case let .color(color): return .color(color) case let .texture(texture): return .texture(texture) } } var errorDescription: String { switch self { case let .mesh(geometry): switch geometry.type { case .path: return "path" case .cone: return "cone" case .cylinder: return "cylinder" case .sphere: return "sphere" case .cube: return "cube" case .group, .extrude, .lathe, .loft, .fill, .hull, .union, .difference, .intersection, .xor, .stencil, .mesh: return "mesh" case .camera: return "camera" case .light: return "light" } default: return type.errorDescription } } var value: AnyHashable { switch self { case let .color(color): return color case let .texture(texture): return texture.map { $0 as AnyHashable } ?? AnyHashable("") case let .boolean(boolean): return boolean case let .number(number): return number case let .radians(radians): return radians case let .halfturns(halfturns): return halfturns case let .vector(vector): return vector case let .size(size): return size case let .rotation(rotation): return rotation case let .string(string): return string case let .text(text): return text case let .path(path): return path case let .mesh(mesh): return mesh case let .polygon(polygon): return polygon case let .point(point): return point case let .tuple(values) where values.count == 1: return values[0].value case let .tuple(values): return values.map { $0.value } case let .range(range): return range case let .bounds(bounds): return bounds case let .object(values): return values } } var doubleValue: Double { assert(value is Double) return value as? Double ?? 0 } var doublesValue: [Double] { switch self { case let .tuple(values): return values.map { $0.doubleValue } case let .number(value): return [value] default: assertionFailure() return [] } } var angleValue: Angle? { switch self { case let .radians(radians): return .radians(radians) case let .halfturns(halfturns): return .halfturns(halfturns) default: assertionFailure() return nil } } var intValue: Int { Int(truncating: doubleValue as NSNumber) } var boolValue: Bool { assert(value is Bool) return value as? Bool ?? false } var stringValue: String { switch self { case let .tuple(values): var spaceNeeded = false return values.map { switch $0 { case let .string(string): spaceNeeded = false return string case let value: defer { spaceNeeded = true } let string = value.stringValue return spaceNeeded ? " \(string)" : string } }.joined() default: assert(value is Loggable) return (value as? Loggable)?.logDescription ?? "" } } var tupleValue: [AnyHashable] { if case let .tuple(values) = self { return values.map { $0.value } } return [value] } var sequenceValue: AnySequence? { switch self { case let .range(range): return AnySequence(range.lazy.map { .number($0) }) case let .tuple(values): if values.count == 1, let value = values.first?.sequenceValue { return value } return AnySequence(values) case let .object(values): return AnySequence(values.sorted(by: { $0.0 < $1.0 }).map { [.string($0), $1] }) case .boolean, .vector, .size, .rotation, .color, .texture, .number, .radians, .halfturns, .string, .text, .path, .mesh, .polygon, .point, .bounds: return nil } } var vectorValue: Vector { assert(value is Vector) return value as? Vector ?? .zero } var rotationValue: Rotation { assert(value is Rotation) return value as? Rotation ?? .identity } var colorValue: Color { assert(value is Color) return value as? Color ?? .white } var colorOrTextureValue: MaterialProperty? { switch self { case let .color(color): return .color(color) case let .texture(texture): return texture.map { .texture($0) } case .boolean, .vector, .size, .rotation, .range, .tuple, .number, .radians, .halfturns, .string, .text, .path, .mesh, .polygon, .point, .bounds, .object: return nil } } var members: [String] { switch self { case .vector: return ["x", "y", "z"] case .size: return ["width", "height", "depth"] case .rotation: return ["roll", "yaw", "pitch"] case .color: return ["red", "green", "blue", "alpha"] case let .tuple(values): var members = Array(String.ordinals(upTo: values.count)) if !members.isEmpty { members.append("last") } members += ["count", "allButFirst", "allButLast"] if let vector = self.as(.vector) { members += vector.members } if let size = self.as(.size) { members += size.members } if let rotation = self.as(.rotation) { members += rotation.members } if values.count == 1 { return members + values[0].members } if let string = self.as(.string) { members += string.members } if !members.contains("alpha"), let color = self.as(.color) { members += color.members } return members case .range: return ["start", "end", "step"] case let .mesh(geometry): var members = ["name", "bounds"] if geometry.hasMesh { members.append("polygons") } return members case .path, .polygon: return ["bounds", "points"] case .point: return ["x", "y", "z", "position", "color"] case .bounds: return ["min", "max", "size", "center", "width", "height", "depth"] case .string: var members = ["lines", "words", "characters"] if let color = self.as(.color) { members += color.members } return members case let .object(values): return values.keys.sorted() case .texture, .boolean, .number, .radians, .halfturns, .text: return [] } } subscript(name: String) -> Value? { self[name, { false }] } subscript( name: String, isCancelled: @escaping Mesh.CancellationHandler ) -> Value? { switch self { case let .vector(vector): switch name { case "x": return .number(vector.x) case "y": return .number(vector.y) case "z": return .number(vector.z) default: return nil } case let .size(size): switch name { case "width": return .number(size.x) case "height": return .number(size.y) case "depth": return .number(size.z) default: return nil } case let .rotation(rotation): switch name { case "roll": return .halfturns(rotation.roll.halfturns) case "yaw": return .halfturns(rotation.yaw.halfturns) case "pitch": return .halfturns(rotation.pitch.halfturns) default: return nil } case let .color(color): switch name { case "red": return .number(color.r) case "green": return .number(color.g) case "blue": return .number(color.b) case "alpha": return .number(color.a) default: return nil } case let .tuple(values): switch name { case "last": return values.last case "allButFirst": return .tuple(Array(values.dropFirst())) case "allButLast": return .tuple(Array(values.dropLast())) case "count": return .number(Double(values.count)) case "lines", "words", "characters": return self.as(.string)?[name, isCancelled] case "x", "y", "z": return self.as(.vector)?[name, isCancelled] case "width", "height", "depth": return self.as(.size)?[name, isCancelled] case "roll", "yaw", "pitch": return self.as(.rotation)?[name, isCancelled] case "red", "green", "blue", "alpha": return self.as(.color)?[name, isCancelled] default: if let index = name.ordinalIndex { return index < values.count ? values[index] : nil } if values.count == 1 { return values[0][name, isCancelled] } return nil } case let .range(range): switch name { case "start": return .number(range.start) case "end": return .number(range.end) case "step": return .number(range.step) default: return nil } case let .mesh(geometry): switch name { case "name": return .string(geometry.name ?? "") case "bounds": return .bounds(geometry.exactBounds(with: geometry.transform) { !isCancelled() }) case "polygons" where geometry.hasMesh: _ = geometry.build { !isCancelled() } let polygons = (geometry.mesh?.polygons ?? []) .transformed(by: geometry.transform) return .tuple(polygons.map { .polygon($0) }) default: return nil } case let .path(path): switch name { case "bounds": return .bounds(path.bounds) case "points": return .tuple(path.points.map { .point($0) }) default: return nil } case let .polygon(polygon): switch name { case "bounds": return .bounds(polygon.bounds) case "points": return .tuple(polygon.vertices.map { .point(PathPoint($0)) }) default: return nil } case let .point(point): switch name { case "position": return .vector(point.position) case "color": return point.color.map { .color($0) } ?? .void default: return Value.vector(point.position)[name, isCancelled] } case let .bounds(bounds): switch name { case "min": return .vector(bounds.min) case "max": return .vector(bounds.max) case "size": return .size(bounds.size) case "center": return .vector(bounds.center) case "width": return .number(bounds.size.x) case "height": return .number(bounds.size.y) case "depth": return .number(bounds.size.z) default: return nil } case let .string(string): switch name { case "lines": return .tuple(string .split { $0.isNewline } .map { .string("\($0)") }) case "words": return .tuple(string .split(omittingEmptySubsequences: true) { $0.isWhitespace || $0.isNewline } .map { .string("\($0)") }) case "characters": return .tuple(string.map { .string("\($0)") }) case "red", "green", "blue", "alpha": return self.as(.color)?[name, isCancelled] default: return nil } case let .object(values): return values[name] case .boolean, .texture, .number, .radians, .halfturns, .text: return nil } } } ShapeScript-1.6.14/ShapeScript/Types.swift000066400000000000000000001054631450355336000204540ustar00rootroot00000000000000// // Types.swift // ShapeScript Lib // // Created by Nick Lockwood on 18/05/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import Euclid import Foundation // MARK: Types enum ValueType: Hashable { case any case color case texture case boolean case font case number case radians case halfturns case vector case size case rotation case string case text case path case mesh case polygon case point case range case bounds indirect case union(Set) indirect case tuple([ValueType]) indirect case list(ValueType) indirect case object([String: ValueType]) } extension ValueType: Comparable { private var sortIndex: Int { switch self { case .any: return 0 case .color: return 1 case .boolean: return 2 case .number: return 3 case .radians: return 4 case .halfturns: return 5 case .vector: return 6 case .size: return 7 case .rotation: return 8 case .string: return 9 case .text: return 10 case .path: return 11 case .mesh: return 12 case .polygon: return 13 case .point: return 14 case .range: return 15 case .texture: return 16 case .font: return 17 case .bounds: return 18 case .union: return 19 case .tuple: return 20 case .list: return 21 case .object: return 22 } } static func < (lhs: ValueType, rhs: ValueType) -> Bool { switch (lhs, rhs) { case let (.union(lhs), .union(rhs)): for (lhs, rhs) in zip(lhs.sorted(), rhs.sorted()) where lhs != rhs { return lhs < rhs } return lhs.count < rhs.count case let (.tuple(lhs), .tuple(rhs)): for (lhs, rhs) in zip(lhs, rhs) where lhs != rhs { return lhs < rhs } return lhs.count < rhs.count case let (.list(lhs), .list(rhs)): return lhs < rhs case let (lhs, rhs): switch lhs { case .any, .color, .texture, .boolean, .font, .number, .radians, .halfturns, .vector, .size, .rotation, .string, .text, .path, .mesh, .polygon, .point, .range, .bounds, .union, .tuple, .list, .object: return lhs.sortIndex < rhs.sortIndex } } } } extension ValueType { static let void: ValueType = .tuple([]) static let sequence: ValueType = .union([.range, .list(.any)]) static let numberPair: ValueType = .tuple([.number, .number]) static let colorOrTexture: ValueType = .union([.color, .texture]) static let numberOrVector: ValueType = .union([.number, .list(.number)]) static func optional(_ type: ValueType) -> ValueType { .union([type, .void]) } var isOptional: Bool { subtypes.contains(.void) } var subtypes: Set { switch self { case let .union(types): return types default: return [self] } } func simplified() -> ValueType { switch self { case let .union(types): let types = types.sorted() guard var result = types.first.map({ [$0] }) else { return self } for type in types.dropFirst() { result.removeAll(where: { $0.isSubtype(of: type) }) if result.contains(where: { type.isSubtype(of: $0) }) { continue } result.append(type) } return result.count == 1 ? result[0] : .union(Set(result)) case .any, .color, .texture, .boolean, .font, .number, .radians, .halfturns, .vector, .size, .rotation, .string, .text, .path, .mesh, .polygon, .point, .range, .bounds, .tuple, .list, .object: return self } } mutating func simplify() { self = simplified() } func union(_ type: ValueType) -> ValueType { switch (self, type) { case let (.union(lhs), .union(rhs)): return Self.union(lhs.union(rhs)).simplified() case let (.union(lhs), rhs): return Self.union(lhs.union([rhs])).simplified() case let (lhs, rhs): return Self.union([lhs, rhs]).simplified() } } mutating func formUnion(_ type: ValueType) { self = union(type) } mutating func narrow(with type: ValueType) { if self == .any { self = type } else if !isSubtype(of: type) { self = union(type) } } var errorDescription: String { switch self { case .color: return "color" case .texture: return "texture" case .font: return "font" case .boolean: return "boolean" case .number: return "number" case .radians: return "angle in radians" case .halfturns: return "angle in half-turns" case .vector, .list(.number): return "vector" case .size: return "size" case .rotation: return "rotation" case .string: return "string" case .text: return "text" case .path: return "path" case .mesh: return "mesh" case .polygon: return "polygon" case .point: return "point" case .range: return "range" case .bounds: return "bounds" case .any: return "any" case let .tuple(types) where types.count == 1: return types[0].errorDescription case .tuple([]): return "empty tuple" case .tuple, .list: return "tuple" case let .union(types): return types.sorted().errorDescription case .object: return "object" } } func isSubtype(of type: ValueType) -> Bool { switch (self, type) { case (_, .any): return true case let (.union(lhs), rhs): return lhs.allSatisfy { $0.isSubtype(of: rhs) } case let (_, .union(types)): return types.contains(where: isSubtype(of:)) case let (.list(lhs), .list(rhs)): return lhs.isSubtype(of: rhs) case let (.tuple(lhs), .tuple(rhs)): return lhs.count == rhs.count && zip(lhs, rhs).allSatisfy { $0.isSubtype(of: $1) } case let (.tuple(lhs), .list(rhs)): return lhs.allSatisfy { $0.isSubtype(of: rhs) } default: return self == type } } func memberType(_ name: String) -> ValueType? { switch self { case let .list(type): return (name.isOrdinal || name == "last") ? type : type.memberType(name) case let .tuple(types): if let index = name.ordinalIndex { return types.indices.contains(index) ? types[index] : nil } switch name { case "count": return .number case "last": return types.last case _ where types.count <= 1: return types.first?.memberType(name) default: return Self.memberTypes[name] } case let .union(types): let types = Set(types.compactMap { $0.memberType(name) }) return types.isEmpty ? nil : ValueType.union(types).simplified() case .color, .texture, .boolean, .font, .number, .radians, .halfturns, .vector, .size, .rotation, .string, .text, .path, .mesh, .polygon, .point, .range, .bounds: return Self.memberTypes[name] case let .object(members): return members[name] case .any: return nil } } private static let memberTypes: [String: ValueType] = [ "x": .number, "y": .number, "z": .number, "width": .number, "height": .number, "depth": .number, "roll": .number, "yaw": .number, "pitch": .number, "red": .number, "green": .number, "blue": .number, "alpha": .number, "bounds": .bounds, "color": .optional(.color), "start": .number, "end": .number, "step": .number, "min": .number, "max": .number, "size": .size, "center": .vector, "count": .number, "points": .list(.point), "polygons": .list(.polygon), "lines": .list(.string), "words": .list(.string), "characters": .list(.string), ] } extension Array where Element == ValueType { var errorDescription: String { let types = map { $0.errorDescription } switch types.count { case 1: return types[0] case 2: return "\(types[0]) or \(types[1])" default: return "\(types.dropLast().joined(separator: ", ")), or \(types.last!)" } } } // MARK: Block Types typealias Options = [String: ValueType] enum BlockType { case builder case shape case group case path case pathShape case hull case mesh case polygons case custom(Symbols, Options, _ childTypes: ValueType, _ returns: ValueType) } extension BlockType { var options: Options { switch self { case let .custom(_, options, _, _): return options case .builder, .group, .path, .shape, .pathShape, .hull, .mesh, .polygons: return [:] } } var childTypes: ValueType { switch self { case .builder: return .path case .group: return .mesh case .path: return .union([.point, .path]) case .shape, .pathShape: return .void case .hull: return .union([.point, .path, .mesh]) case .mesh: return .polygon case .polygons: return .point case let .custom(_, _, childTypes, _): return childTypes } } var returnType: ValueType { switch self { case .builder, .group, .shape, .hull, .mesh: return .mesh case .path, .pathShape: return .path case .polygons: return .list(.polygon) case let .custom(_, _, _, returnType): return returnType } } var symbols: Symbols { switch self { case .shape: return .shape case .group: return .group case .builder: return .builder case .hull: return .hull case .path: return .path case .pathShape: return .pathShape case .mesh: return .mesh case .polygons: return .polygon case let .custom(symbols, options, _, _): return options.mapValues { .placeholder($0) }.merging(symbols) { $1 } } } } // MARK: Inference extension Symbol { var type: ValueType { switch self { case let .function(type, _): return type.returnType case let .block(type, _): return type.returnType case let .property(type, _, _), let .placeholder(type): return type case let .constant(value), let .option(value): return value.type } } } extension Value { var type: ValueType { switch self { case .color: return .color case .texture: return .texture case .boolean: return .boolean case .number: return .number case .radians: return .radians case .halfturns: return .halfturns case .vector: return .vector case .size: return .size case .rotation: return .rotation case .string: return .string case .text: return .text case .path: return .path case .mesh: return .mesh case .polygon: return .polygon case .point: return .point case .range: return .range case .bounds: return .bounds case let .tuple(values): return .tuple(values.map { $0.type }) case let .object(values): return .object(values.mapValues { $0.type }) } } func isConvertible(to type: ValueType) -> Bool { self.as(type) != nil } func `as`(_ type: ValueType) -> Value? { try? self.as(type, in: nil) } /// Convert value to specified type. Returns nil if conversion is not possible. /// Note: context is used to verify that font or texture values exist. Errors are only thrown for /// non-existent font or texture and will never be thrown if context is nil. func `as`(_ type: ValueType, in context: EvaluationContext?) throws -> Value? { func numerify( _ values: [Value], as numericType: ValueType = .number, range: ClosedRange ) -> [Double]? { guard range.contains(values.count) else { return nil } let numbers = values.compactMap { $0.as(numericType)?.doubleValue } guard numbers.count == values.count else { return nil } return numbers } switch (self, type) { case _ where self.type.isSubtype(of: type): return self case let (.tuple(values), type) where values.count == 1: return try values[0].as(type, in: context) case let (_, .union(types)): if types.contains(where: { self.type.isSubtype(of: $0) }) { return self } for type in types.sorted() { if let value = try self.as(type, in: context) { return value } } return nil case let (_, .list(type)) where self.type.isSubtype(of: type): return [self] case let (_, .tuple(types)) where types.count == 1 || types.count > 1 && types[1].isOptional: return try self.as(types[0], in: context).map { [$0] } case (_, .text): return try self.as(.string, in: context).flatMap { .text(TextValue(string: $0.stringValue)) } case let (.tuple(values), .texture) where values.contains { $0.type == .string }: fallthrough case (.string, .texture): return try self.as(.string, in: context).flatMap { let name = $0.stringValue if name.isEmpty { return .texture(nil) } let url = try context?.resolveURL(for: name) return .texture(.file(name: name, url: url ?? URL(fileURLWithPath: name))) } case let (.tuple(values), .font) where values.contains { $0.type == .string }: fallthrough case (.string, .font): return try self.as(.string, in: context).flatMap { let name = $0.stringValue return try .string(context?.resolveFont(name) ?? name) } case (.string, .number): return Double(stringValue).map { .number($0) } case (.string, .boolean): switch stringValue.lowercased() { case "true": return .boolean(true) case "false": return .boolean(false) default: return nil } case (.string, .color): // TODO: support named colors return Color(hexString: stringValue).map { .color($0) } case (.boolean, .string), (.number, .string), (.texture(.file), .string): return .string(stringValue) case let (.tuple(values), .string): let stringifyable = values.allSatisfy { $0.isConvertible(to: .string) } return stringifyable ? .string(stringValue) : nil case let (.radians(value), .number): return .number(value) case let (.halfturns(value), .number): return .number(value) case let (.number(value), .radians): return .radians(value) case let (.number(value), .halfturns): return .halfturns(value) case let (.number(value), .color): return .color(Color(value, 1)) case let (.number(value), .vector): return .vector(Vector(value, 0)) case let (.number(value), .size): return .size(Vector(size: value)) case let (.number(value), .rotation): return .rotation(Rotation(unchecked: [value])) case let (.tuple(values), .tuple(types)): guard values.count == types.count else { return nil } let values = try zip(values, types).compactMap { try $0.as($1, in: context) } guard values.count == types.count else { return nil } return .tuple(values) case let (.tuple(values), .color) where values.count == 2: guard case let .color(color)? = values[0].as(.color), case let .number(alpha)? = values[1].as(.number) else { return nil } return .color(color.withAlpha(alpha)) case let (.tuple(values), .list(.number)) where values.count == 2 && values[0].type == .color: if case let (.color(color), .number(alpha)) = (values[0], values[1]) { return .tuple(color.withAlpha(alpha).components.map { .number($0) }) } return nil case let (.tuple(values), .list(type)): let result = try values.compactMap { try $0.as(type, in: context) } guard result.count == values.count else { return nil } return .tuple(result) case let (.tuple(values), .color): return numerify(values, range: 1 ... 4).map { .color(Color(unchecked: $0)) } case let (.tuple(values), .vector): return numerify(values, range: 1 ... 3).map { .vector(Vector($0)) } case let (.tuple(values), .size): return numerify(values, range: 1 ... 3).map { .size(Vector(size: $0)) } case let (.tuple(values), .rotation): return numerify(values, as: .halfturns, range: 1 ... 3).map { .rotation(Rotation(unchecked: $0)) } case let (.color(value), .list(.number)): return .tuple(value.components.map { .number($0) }) case let (.vector(value), .list(.number)): return .tuple(value.components.map { .number($0) }) case let (.vector(value), .size): return .size(value) case let (.size(value), .list(.number)): return .tuple(value.components.map { .number($0) }) case let (.size(value), .vector): return .vector(value) case let (.rotation(value), .list(.number)): return .tuple(value.rollYawPitchInHalfTurns.map { .number($0) }) case let (.object(values), .list(type)): let values = try values.sorted(by: { $0.0 < $1.0 }).compactMap { try Value(.string($0), $1).as(type, in: context) } guard values.count == values.count else { return nil } return .tuple(values) case let (.object(values), .tuple(types)): let values = try zip(values.sorted(by: { $0.0 < $1.0 }), types).compactMap { try Value(.string($0.key), $0.value).as($1, in: context) } guard values.count == types.count else { return nil } return .tuple(values) case let (_, .list(type)): return try self.as(type, in: context).map { [$0] } case let (.path(path), .mesh): return .mesh(Geometry( type: .path(path), name: context?.name, transform: context?.transform ?? .identity, material: .default, // not used for paths smoothing: nil, children: [], sourceLocation: context?.sourceLocation )) case let (.mesh(geometry), .path): switch geometry.type { case let .path(path): return .path(path.transformed(by: geometry.transform)) case .cone, .cylinder, .sphere, .cube, .extrude, .lathe, .loft, .fill, .hull, .union, .difference, .intersection, .xor, .stencil, .group, .mesh, .camera, .light: return nil } case let (.polygon(polygon), .path): return .path(Path(polygon)) case let (.polygon(polygon), .mesh): return try Value.path(Path(polygon)).as(.mesh, in: context) default: return nil } } } extension Definition { func inferTypes( for _: inout [String: ValueType], in _: EvaluationContext, with _: ValueType ) {} func staticSymbol(in context: EvaluationContext) throws -> Symbol { switch type { case let .expression(expression): return try .placeholder(expression.staticType(in: context)) case .function, .block: return try evaluate(in: context) } } func staticType(in context: EvaluationContext) throws -> ValueType { try staticSymbol(in: context).type } } extension Expression { func inferTypes( for params: inout [String: ValueType], in context: EvaluationContext, with type: ValueType ) { switch self.type { case let .identifier(name): if context.symbol(for: name) == nil { params[name]?.narrow(with: type) } case let .block(_, block): block.inferTypes(for: ¶ms, in: context) case let .tuple(expressions): switch expressions.count { case 0: return case 1: expressions[0].inferTypes(for: ¶ms, in: context, with: type) default: switch type { case let .tuple(types): for (type, expression) in zip(types, expressions) { expression.inferTypes(for: ¶ms, in: context, with: type) } default: // TODO: other cases return } } case let .infix(lhs, .step, rhs): lhs.inferTypes(for: ¶ms, in: context, with: .range) rhs.inferTypes(for: ¶ms, in: context, with: .number) case let .prefix(.minus, rhs), let .prefix(.plus, rhs): rhs.inferTypes(for: ¶ms, in: context, with: .numberOrVector) case let .infix(lhs, .minus, rhs), let .infix(lhs, .plus, rhs), let .infix(lhs, .times, rhs), let .infix(lhs, .divide, rhs), let .infix(lhs, .modulo, rhs): lhs.inferTypes(for: ¶ms, in: context, with: .numberOrVector) rhs.inferTypes(for: ¶ms, in: context, with: .numberOrVector) case let .infix(lhs, .to, rhs), let .infix(lhs, .lt, rhs), let .infix(lhs, .gt, rhs), let .infix(lhs, .lte, rhs), let .infix(lhs, .gte, rhs): lhs.inferTypes(for: ¶ms, in: context, with: .number) rhs.inferTypes(for: ¶ms, in: context, with: .number) case let .infix(lhs, .and, rhs), let .infix(lhs, .or, rhs): lhs.inferTypes(for: ¶ms, in: context, with: .boolean) rhs.inferTypes(for: ¶ms, in: context, with: .boolean) case .infix(_, .equal, _), .infix(_, .unequal, _), .number, .string, .color, .member: return } } func staticType(in context: EvaluationContext) throws -> ValueType { switch type { case .number: return .number case .string: return .string case .color: return .color case let .identifier(name): guard let symbol = context.symbol(for: name) else { throw RuntimeError( .unknownSymbol(name, options: context.expressionSymbols), at: range ) } return symbol.type case let .block(identifier, block): let (name, range) = (identifier.name, identifier.range) guard let symbol = context.symbol(for: name) else { throw RuntimeError( .unknownSymbol(name, options: context.expressionSymbols), at: range ) } switch symbol { case let .function((parameterType, _), _) where parameterType != .void: throw RuntimeError(.typeMismatch( for: name, index: 0, expected: parameterType.errorDescription, got: "block" ), at: block.range) case .block, .function, .property, .constant, .option, .placeholder: return symbol.type } case let .tuple(expressions): switch expressions.count { case 0: return .void case 1: return try expressions[0].staticType(in: context) default: if case let .identifier(name) = expressions[0].type { guard let symbol = context.symbol(for: name) else { throw RuntimeError( .unknownSymbol(name, options: context.expressionSymbols), at: range ) } switch symbol { case let .function(type, _) where type.parameterType != .void: return type.returnType case let .block(type, _) where type.childTypes != .void: return type.returnType case .property, .constant, .option, .placeholder, .function, .block: break } } var type: ValueType? for expression in expressions { let staticType = try expression.staticType(in: context) if type == nil { type = staticType } else if type != staticType { type = nil break } } return .list(type ?? .any) } case let .prefix(.minus, rhs), let .prefix(.plus, rhs): if try rhs.staticType(in: context).isSubtype(of: .list(.any)) { return .list(.number) } return .number case let .infix(lhs, .minus, rhs), let .infix(lhs, .plus, rhs): if try lhs.staticType(in: context).isSubtype(of: .list(.any)) || rhs.staticType(in: context).isSubtype(of: .list(.any)) { return .list(.number) } return .number case let .infix(lhs, .times, _), let .infix(lhs, .divide, _), let .infix(lhs, .modulo, _): if try lhs.staticType(in: context).isSubtype(of: .list(.any)) { return .list(.number) } return .number case .infix(_, .to, _), .infix(_, .step, _): return .range case .infix(_, .equal, _), .infix(_, .unequal, _), .infix(_, .lt, _), .infix(_, .gt, _), .infix(_, .lte, _), .infix(_, .gte, _), .infix(_, .and, _), .infix(_, .or, _): return .boolean case let .member(expression, member): let type = try expression.staticType(in: context) return type.memberType(member.name) ?? .any } } } extension Block { func inferTypes( for params: inout [String: ValueType], in context: EvaluationContext ) { context.pushScope { context in statements.gatherDefinitions(in: context) statements.forEach { $0.inferTypes(for: ¶ms, in: context) } } } func staticType(in context: EvaluationContext) throws -> ValueType { var options: Options? return try staticType(in: context, options: &options) } func staticType( in context: EvaluationContext, options: inout Options? ) throws -> ValueType { var types = [ValueType]() statements.gatherDefinitions(in: context) for statement in statements { if options != nil, case let .option(identifier, expression) = statement.type { let type = try expression.staticType(in: context) context.define(identifier.name, as: .placeholder(type)) options?[identifier.name] = type } else { let type = try statement.staticType(in: context) if type != .void { types.append(type) } } } switch types.count { case 0: return .void case 1: return types[0] default: return .list(types.dropFirst().reduce(types[0]) { $0.union($1) }) } } } extension Statement { func inferTypes( for params: inout [String: ValueType], in context: EvaluationContext ) { switch type { case let .command(identifier, expression): guard let expression = expression, let symbol = context.symbol(for: identifier.name) else { return } switch symbol { case let .function(type, _): expression.inferTypes( for: ¶ms, in: context, with: type.parameterType ) case let .property(type, _, _): expression.inferTypes(for: ¶ms, in: context, with: type) case let .block(type, _): expression.inferTypes( for: ¶ms, in: context, with: type.childTypes ) case .constant, .option, .placeholder: return } case let .expression(expression): expression.inferTypes(for: ¶ms, in: context, with: .any) case let .define(identifier, definition): if let symbol = try? definition.staticSymbol(in: context) { context.define(identifier.name, as: symbol) } case let .forloop(_, in: expression, body): expression.inferTypes(for: ¶ms, in: context, with: .sequence) body.inferTypes(for: ¶ms, in: context) case let .ifelse(condition, body, else: elseBody): condition.inferTypes(for: ¶ms, in: context, with: .boolean) body.inferTypes(for: ¶ms, in: context) elseBody?.inferTypes(for: ¶ms, in: context) case let .import(expression): expression.inferTypes(for: ¶ms, in: context, with: .string) case .option: return } } func staticType(in context: EvaluationContext) throws -> ValueType { switch type { case let .command(identifier, _): let name = identifier.name guard let symbol = context.symbol(for: name) else { throw RuntimeError( .unknownSymbol(name, options: context.commandSymbols), at: identifier.range ) } switch symbol { case .property: return .void case .function, .block, .constant, .option, .placeholder: return symbol.type } case let .expression(expression): return try expression.staticType(in: context) case .option: throw RuntimeError(.unknownSymbol("option", options: []), at: range) case let .define(identifier, definition): switch definition.type { case let .function(names, _): // In case of recursion let parameterType: ValueType = names.count == 1 ? .any : .tuple(names.map { _ in .any }) context.define(identifier.name, as: .function((parameterType, .any)) { _, _ in .void }) case .block: // In case of recursion context.define(identifier.name, as: .block(.custom([:], [:], .void, .any)) { _ in .void }) case .expression: break } let symbol = try definition.staticSymbol(in: context) context.define(identifier.name, as: symbol) return .void case let .forloop(identifier, in: expression, block): var type: ValueType = .void try context.pushScope { context in if let identifier = identifier { let elementType: ValueType switch try expression.staticType(in: context) { case let .tuple(types): elementType = .union(Set(types)) case let .list(type): elementType = type case .range: elementType = .number default: // TODO: can we do better here? elementType = .any } context.define(identifier.name, as: .placeholder(elementType)) } type = try block.staticType(in: context) } return .list(type) case let .ifelse(_, body, else: elseBody): var type: ValueType = .void try context.pushScope { context in type = try body.staticType(in: context) } if let elseBody = elseBody { try context.pushScope { context in try type.formUnion(elseBody.staticType(in: context)) } } else { type.formUnion(.void) } return type case let .import(expression): var file: String? switch expression.type { case let .string(string): file = string case let .tuple(expressions): if case let .string(string)? = expressions.last?.type { file = string } default: break } switch file?.components(separatedBy: ".").last?.lowercased() ?? "" { case "txt": return .string case "shape", "json", "": return .any default: return .mesh } } } } extension Array where Element == Statement { func gatherDefinitions(in context: EvaluationContext) { for statement in self { switch statement.type { case let .define(identifier, definition): if context.symbol(for: identifier.name) == nil { let type = (try? definition.staticType(in: context)) ?? .any context.define(identifier.name, as: .placeholder(type)) } case .command, .option, .forloop, .ifelse, .expression, .import: break } } } } ShapeScript-1.6.14/ShapeScript/Value+JSON.swift000066400000000000000000000032771450355336000211710ustar00rootroot00000000000000// // Value+JSON.swift // ShapeScript Lib // // Created by Nick Lockwood on 08/10/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import Foundation extension Value { init(jsonData: Data) throws { do { let json = try JSONSerialization.jsonObject(with: jsonData) self.init(json: json) } catch { let nsError = error as NSError var message = nsError.userInfo["NSDebugDescription"] as? String ?? nsError.localizedDescription var index: String.Index? if let byteOffset = nsError.userInfo["NSJSONSerializationErrorIndex"] as? Int { index = String(data: jsonData[0 ..< byteOffset], encoding: .utf8)?.endIndex } if index != nil, let range = message.range(of: " around line ") { message = String(message[.. !6) 4 $Q  $ 4 , $P V ,  R v c |5 B RXCopyright Quinn Davis 2020Copyright Quinn Davis 2020Edge of the GalaxyEdge of the GalaxyRegularRegularEdge of the GalaxyEdge of the GalaxyEdge of the Galaxy RegularEdge of the Galaxy RegularVersion 1.0Version 1.0Edge-of-the-GalaxyEdge-of-the-GalaxyFontStruct is a trademark of FontStruct.comFontStruct is a trademark of FontStruct.comhttps://fontstruct.comhttps://fontstruct.comQuinn DavisQuinn Davis Edge of the Galaxy  was built with FontStruct Designer description: <p>Edge of the Galaxy, a font where no man has gone before.</p> <p>Inspired by the Star Trek logo and the font Horizon by Bitstream, This font follows a slant design to work as a space age corporate font. It's also super tight, for use on display and posters.</p> Edge of the Galaxy was built with FontStruct Designer description:

Edge of the Galaxy, a font where no man has gone before.

Inspired by the Star Trek logo and the font Horizon by Bitstream, This font follows a slant design to work as a space age corporate font. It's also super tight, for use on display and posters.

https://fontstruct.com/fontstructions/show/1755458/edge-of-the-galaxyhttps://fontstruct.com/fontstructions/show/1755458/edge-of-the-galaxyhttps://fontstruct.com/fontstructors/show/1507185/sonicfontshdhttps://fontstruct.com/fontstructors/show/1507185/sonicfontshdFontStruct Non-Commercial LicenseFontStruct Non-Commercial LicenseFive big quacking zephyrs jolt my wax bedFive big quacking zephyrs jolt my wax bedT8 ~    VT  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_degif`cpqnobjakhmlEdge-of-the-GalaxyJ  `  D D &o I2, *DVglyph1glyph21.0Copyright Quinn Davis 2020Edge of the Galaxy RegularEdge of the Galaxyh  !"#$%&'()*+,-./0123456789:;<=>?@|BCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_AiwtdfwaltZF / N > ' 3 @ b } ) 7@d!LR9JxWtL0E\rkND+?X w !"#o#$%>%%&&'m'(()*+,,,--,--..X..//8/@/H/c///` fߋ] p\p !  U &  $! on! 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All rights reserved. // @testable import Euclid @testable import ShapeScript import XCTest class GeometryTests: XCTestCase { // MARK: Bounds func testGroupOfShapeCameraBoundsNotEmpty() { let cube = Geometry( type: .cube, name: nil, transform: .identity, material: .default, smoothing: nil, children: [], sourceLocation: nil ) let camera = Geometry( type: .camera(Camera( position: nil, orientation: nil, scale: nil )), name: nil, transform: Transform( offset: Vector(2.5539, 0.5531, 0.0131), rotation: Rotation( roll: .radians(-0.5 * .pi), yaw: .radians(-0.4999 * .pi), pitch: .radians(-0.5 * .pi) ), scale: nil ), material: .default, smoothing: nil, children: [], sourceLocation: nil ) let group = Geometry( type: .group, name: nil, transform: .identity, material: .default, smoothing: nil, children: [cube, camera], sourceLocation: nil ) XCTAssert(camera.bounds.transformed(by: camera.transform).isEmpty) XCTAssertEqual(group.bounds, cube.bounds) } func testLowDetailPrimitiveBounds() { let cylinder = GeometryType.cylinder(segments: 3) let cone = GeometryType.cone(segments: 3) let sphere = GeometryType.sphere(segments: 3) let expected = Vector(0.75, 1, 0.866025403784) XCTAssert(cylinder.bounds.size.isEqual(to: expected)) XCTAssert(cone.bounds.size.isEqual(to: expected)) XCTAssert(sphere.bounds.size.isEqual(to: expected)) } func testTransformedCubeBounds() { let context = EvaluationContext(source: "", delegate: nil) let offset = Vector(1, 2, 3) context.transform = Transform.offset(offset) let shape = Geometry(type: GeometryType.cube, in: context) XCTAssertEqual(shape.exactBounds(with: shape.transform).center, offset) } func testTransformedConeBounds() { let context = EvaluationContext(source: "", delegate: nil) context.transform = Transform( offset: Vector(1, 2, 3), rotation: .yaw(.degrees(45)) ) let shape = Geometry(type: GeometryType.cone(segments: 5), in: context) let bounds = shape.exactBounds(with: shape.transform) _ = shape.build { true } let expected = shape.mesh?.transformed(by: context.transform).bounds XCTAssert(bounds.isEqual(to: expected ?? .empty)) } func testTransformedSquarePathBounds() { let context = EvaluationContext(source: "", delegate: nil) let offset = Vector(1, 2, 3) context.transform = Transform.offset(offset) let shape = Geometry(type: GeometryType.path(.square()), in: context) XCTAssertEqual(shape.exactBounds(with: shape.transform).center, offset) } func testTransformedFilledSquareBounds() { let context = EvaluationContext(source: "", delegate: nil) let offset = Vector(1, 2, 3) context.transform = Transform.offset(offset) let shape = Geometry(type: GeometryType.fill([.square()]), in: context) XCTAssertEqual(shape.exactBounds(with: shape.transform).center, offset) } // MARK: Intersection func testGroupIntersection() throws { let a = try evaluate(parse(""" intersection { cube translate -0.75 group { cube translate 1.5 cube } } """), delegate: nil) let b = try evaluate(parse(""" intersection { cube translate -0.75 union { cube translate 1.5 cube } } """), delegate: nil) XCTAssertEqual(a.bounds, b.bounds) XCTAssertEqual(a.children.count, b.children.count) XCTAssertEqual(a.children.map { $0.mesh }, b.children.map { $0.mesh }) XCTAssertEqual(a.children.map { $0.mesh?.polygons.count ?? 0 }, b.children.map { $0.mesh?.polygons.count ?? 0 }) } } ShapeScript-1.6.14/ShapeScriptTests/ImportExportTests.swift000066400000000000000000000066701450355336000240720ustar00rootroot00000000000000// // ImportExportTests.swift // ShapeScriptTests // // Created by Nick Lockwood on 19/06/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // @testable import Euclid @testable import ShapeScript import XCTest #if canImport(SceneKit) import SceneKit #endif class ImportExportTests: XCTestCase { // MARK: Geometry func testCog() throws { let source = """ define cog { option teeth 6 path { define step 1 / teeth for 1 to teeth { point -0.02 0.8 point 0.05 1 rotate step point -0.05 1 point 0.02 0.8 rotate step } point -0.02 0.8 } } difference { extrude { size 1 1 0.5 cog { teeth 8 } } rotate 0 0 0.5 cylinder } """ let program = try parse(source) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) XCTAssert(geometry.build { true }) let mesh = try XCTUnwrap(geometry.mesh) let polygons = mesh.polygons XCTAssertEqual(polygons.count, 80) XCTAssert(polygons.areWatertight) let triangles = mesh.triangulate().polygons XCTAssertEqual(triangles.count, 256) XCTAssert(triangles.areWatertight) #if canImport(SceneKit) geometry.scnBuild(with: .default) let node = SCNNode(geometry) let geometry2 = try Geometry(node) XCTAssert(geometry2.build { true }) let mesh2 = try XCTUnwrap(geometry2.mesh) XCTAssertEqual(mesh2.polygons.count, 256) XCTAssert(mesh2.isWatertight) #endif } // MARK: JSON func testParseJSONValues() throws { let source = """ [ "hello", 3, 3.5, true, null, [1, 2, 3], { "foo": 2, "bar": true, } ] """ let json = try JSONSerialization .jsonObject(with: source.data(using: .utf8)!) let value = Value(json: json) XCTAssertEqual(value, [ "hello", 3, 3.5, true, [], [1, 2, 3], [ "bar": true, "foo": 2, ], ]) XCTAssertEqual(value["seventh"]?["foo"], 2) } func testMalformedJSON() throws { let json = """ [ "🙃, "foo" ] """ XCTAssertThrowsError(try Value(jsonData: json.data(using: .utf8)!)) { error in let error = try? XCTUnwrap(error as? ParserError) guard case let .custom(message, _, range)? = error?.type else { XCTFail() return } if let range = range { XCTAssertEqual(message, "Unescaped control character") XCTAssertEqual(range.lowerBound, json.range(of: "🙃,")?.upperBound) } else { XCTAssert(message.hasPrefix("Unescaped control character") || message.hasPrefix("Badly formed array")) } } } } ShapeScript-1.6.14/ShapeScriptTests/Info.plist000066400000000000000000000012751450355336000212610ustar00rootroot00000000000000 CFBundleDevelopmentRegion $(DEVELOPMENT_LANGUAGE) CFBundleExecutable $(EXECUTABLE_NAME) CFBundleIdentifier $(PRODUCT_BUNDLE_IDENTIFIER) CFBundleInfoDictionaryVersion 6.0 CFBundleName $(PRODUCT_NAME) CFBundlePackageType BNDL CFBundleShortVersionString 1.0 CFBundleVersion 1 ShapeScript-1.6.14/ShapeScriptTests/InterpreterTests.swift000066400000000000000000004557701450355336000237320ustar00rootroot00000000000000// // InterpreterTests.swift // ShapeScriptTests // // Created by Nick Lockwood on 08/11/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // @testable import Euclid @testable import ShapeScript import XCTest class InterpreterTests: XCTestCase { // MARK: Random numbers func testRandomNumberConsistency() { let context = EvaluationContext(source: "", delegate: nil) XCTAssertEqual(context.random.seed, 0) context.random = RandomSequence(seed: .random(in: 0 ..< 10)) _ = context.random.next() let a = context.random.seed do { // Push a new block context let newContext = context.push(.group) XCTAssertEqual(a, newContext.random.seed) // test seed is not reset _ = newContext.random.next() XCTAssertNotEqual(a, newContext.random.seed) XCTAssertNotEqual(a, context.random.seed) // test original seed also affected context.random = RandomSequence(seed: a) // reset seed } do { // Push a new block context let newContext = context.push(.group) newContext.random = RandomSequence(seed: .random(in: 11 ..< 20)) _ = newContext.random.next() XCTAssertNotEqual(5, newContext.random.seed) XCTAssertEqual(a, context.random.seed) // test original seed not affected } do { // Push a new block context let newContext = context.pushDefinition() XCTAssertEqual(a, newContext.random.seed) // test seed is not reset _ = newContext.random.next() XCTAssertNotEqual(a, newContext.random.seed) XCTAssertNotEqual(a, context.random.seed) // test original seed also affected context.random = RandomSequence(seed: a) // reset seed } do { // Push definition let newContext = context.pushDefinition() newContext.random = RandomSequence(seed: 0) _ = newContext.random.next() XCTAssertNotEqual(5, newContext.random.seed) XCTAssertEqual(a, context.random.seed) // test original seed not affected } do { // Push loop context context.pushScope { context in _ = context.random.next() } XCTAssertNotEqual(a, context.random.seed) // test original seed is affected context.random = RandomSequence(seed: a) // reset seed } do { // Push loop context context.pushScope { context in context.random = RandomSequence(seed: 99) } XCTAssertNotEqual(a, context.random.seed) // test original seed is affected XCTAssertEqual(context.random.seed, 99) // random state is preserved context.random = RandomSequence(seed: a) // reset seed } } // MARK: Name func testSetPrimitiveName() throws { let program = try parse(""" cube { name "Foo" } """) let scene = try evaluate(program, delegate: nil) let first = try XCTUnwrap(scene.children.first) XCTAssertEqual(first.name, "Foo") } func testSetBuilderName() throws { let program = try parse(""" extrude { name "Foo" circle } """) let scene = try evaluate(program, delegate: nil) let first = try XCTUnwrap(scene.children.first) XCTAssertEqual(first.name, "Foo") } func testSetGroupName() throws { let program = try parse(""" group { name "Foo" cube sphere } """) let scene = try evaluate(program, delegate: nil) let first = try XCTUnwrap(scene.children.first) XCTAssertEqual(first.name, "Foo") XCTAssertNil(first.children.first?.name) } func testSetCustomBlockName() throws { let program = try parse(""" define wheel { scale 1 0.2 1 cylinder } wheel { name "Foo" } """) let scene = try evaluate(program, delegate: nil) let first = try XCTUnwrap(scene.children.first) XCTAssertEqual(first.name, "Foo") XCTAssert(first.children.isEmpty) } func testSetCustomGroupBlockName() throws { let program = try parse(""" define wheels { scale 1 0.2 1 cylinder translate 0 1 0 cylinder } wheels { name "Foo" } """) let scene = try evaluate(program, delegate: nil) let first = try XCTUnwrap(scene.children.first) XCTAssertEqual(first.name, "Foo") XCTAssertNil(first.children.first?.name) XCTAssertEqual(first.children.count, 2) } func testSetPathBlockName() throws { let program = try parse(""" define wheel { circle } wheel { name "Foo" } """) let scene = try evaluate(program, delegate: nil) let first = try XCTUnwrap(scene.children.first) XCTAssertEqual(first.name, "Foo") guard case .path = first.type else { XCTFail() return } } func testExtrudeNamedPath() throws { let program = try parse(""" define wheel { circle } extrude wheel { name "Foo" } """) let scene = try evaluate(program, delegate: nil) let first = try XCTUnwrap(scene.children.first) guard case .extrude = first.type else { XCTFail() return } } func testSetNumberBlockName() throws { let program = """ define foo { 42 } print foo { name "Foo" } """ let range = program.range(of: "foo", range: program.range(of: "print foo")!)! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError(.assertionFailure( "Blocks that return a number value cannot be assigned a name" ), at: range)) } } func testSetTupleBlockName() throws { let program = """ define foo { "bar" 42 } print foo { name "Foo" } """ let range = program.range(of: "foo", range: program.range(of: "print foo")!)! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError(.assertionFailure( "Blocks that return a string value cannot be assigned a name" ), at: range)) } } func testNameInvalidAtRoot() { let program = """ name "Foo" """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("name", _)? = error?.type else { XCTFail() return } } } func testNameInvalidInDefine() { let program = """ define foo { name "Foo" cube } foo """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("name", _)? = error?.type else { XCTFail() return } } } func testNameInvalidInCircle() { let input = """ circle { name "Foo" } """ let delegate = TestDelegate() XCTAssertThrowsError(try evaluate(parse(input), delegate: delegate)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unexpected symbol 'name'") } } func testNameInvalidInPath() { let input = """ path { name "Foo" } """ let delegate = TestDelegate() XCTAssertThrowsError(try evaluate(parse(input), delegate: delegate)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unexpected symbol 'name'") } } func testNameInvalidInText() { let input = """ text { name "Foo" } """ let delegate = TestDelegate() XCTAssertThrowsError(try evaluate(parse(input), delegate: delegate)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unexpected symbol 'name'") } } // MARK: Built-in symbol scope func testOverrideColorInRootScope() { let program = """ print black define black white print black """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.black, Color.white]) } func testReferenceOverriddenColorInBlockScope() { let program = """ print black define black white define foo { print black } foo """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.black, Color.white]) } func testOverrideColorInBlockScope() { let program = """ define black white define foo { define black red print black } foo print black """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.red, Color.white]) } func testOverrideGlobalFunction() { let program = """ define cos(foo) { print "hello" } cube { cos(5) } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, ["hello"]) } func testNoOverridePathFunction() { let program = """ define point(foo) { print "hello" } path { point 1 0 } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, []) } // MARK: Option scope func testOptionValidInBlockDefine() { let program = """ define foo { option bar 5 } foo { bar 5 } """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testOptionReferencedInDefine() { let program = """ define foo { option bar 5 define baz bar/2 } foo { bar 6 } """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testOptionInvalidInFunctionDefine() { let program = """ define foo() { option bar 5 } foo() """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unexpected symbol 'option'") XCTAssertEqual(error?.hint, "The option command is not available in" + " this context. Did you mean 'define'?") guard case .unknownSymbol("option", _)? = error?.type else { XCTFail() return } } } func testOptionInvalidInConditionalScope() { let program = """ define foo { if true { option bar 5 } } foo {} """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("option", _)? = error?.type else { XCTFail() return } } } func testOptionInvalidInPrimitive() { let program = """ cube { option foo 5 } """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("option", _)? = error?.type else { XCTFail() return } } } func testOptionInvalidAtRoot() { let program = "option foo 5" XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("option", _)? = error?.type else { XCTFail() return } } } func testOptionDoesntShadowDefineInCallerScope() { let program = """ define foo { option x 0 print x } define bar { define x 5 foo { x x } } bar """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [5]) } func testDefineInCallerScopeDoesntShadowOptionInBlock() { let program = """ define foo { option bar 1 print bar } foo define bar 2 """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1]) } func testOptionShadowsGlobalFunction() throws { let program = try parse(""" define blob { option length 2 cube { size length } } blob """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) XCTAssertEqual(geometry.transform.scale, .init(size: 2)) } func testOptionShadowsGlobalFunction2() throws { let program = try parse(""" define blob { option length 2 cube { size length } } blob { length 3 } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) XCTAssertEqual(geometry.transform.scale, .init(size: 3)) } // MARK: Block scope func testLocalSymbolsNotPassedToCommand() { let program = """ define foo { print baz } define bar { define baz 5 foo } bar """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.range, program.range(of: "baz")) guard case .unknownSymbol("baz", _)? = error?.type else { XCTFail() return } } } func testOptionsPassedToCommand() { let program = """ define foo { option baz 0 print baz } define bar { foo { baz 5 } } bar """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [5]) } func testDefineNotPassedToCustomCommand() { let program = """ define foo { option baz 2 print baz } foo { define baz 5 } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [2]) } func testDefineNotPassedToBuiltInCommand() { let program = """ define foo polygon { define sides 7 } // should match default of 5 sides print foo.points.count - 1 """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [5]) } func testDuplicateOptionsPassedToCommand() { let program = """ define foo { option baz 0 print baz } define bar { foo { baz 5 baz 6 } } bar """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [6]) } func testConditionalOptionPassedToCommand() { let program = """ define foo polygon { if true { sides 7 } } print foo.points.count - 1 """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [7]) } func testConditionalOptionPassedToCustomCommand() { let program = """ define foo { option baz 1 print baz } foo { if true { baz 5 } } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [5]) } func testOptionDefaultValueFromGlobalConstant() { let program = """ define baz 5 define foo { option bar baz print bar } foo foo { bar 6 } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [5, 6]) } func testOptionDefaultValueFromLocalConstant() { let program = """ define foo { define baz 5 option bar baz print bar } foo foo { bar 6 } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [5, 6]) } func testOptionTypeEvaluationDoesNotChangeSeed() { let program = """ seed 1 define foo { option bar rnd print bar } foo """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0.23645552527159452]) } func testOptionDefaultValueIsIdempotent() { let program = """ define bar() { print "bar" 5 } define foo { define baz bar() option quux baz print quux } foo { quux 6 } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, ["bar", 6]) // bar only called once, not twice } func testOptionCanReferenceOtherOption() { let program = """ define foo { option bar 5 option baz bar print baz } foo { bar 6 } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [6]) } func testGlobalSymbolsAvailableToCommand() { let program = """ define baz 5 define foo { print baz } define bar { foo } bar """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [5]) } func testOptionsNotSuggestedForTypoInShapeBlock() { let program = """ cube { poption bar 0 } """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("poption", _)? = error?.type else { XCTFail() return } XCTAssertNotEqual(error?.suggestion, "option") } } func testOptionsSuggestedForTypoInCustomBlock() { let program = """ define foo { poption bar 0 } foo """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("poption", _)? = error?.type else { XCTFail() return } XCTAssertEqual(error?.suggestion, "option") } } func testOptionNameSuggestedForTypoInBlock() { let program = """ extrude { alon square } """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("alon", _)? = error?.type else { XCTFail() return } XCTAssertEqual(error?.suggestion, "along") } } func testOptionNameSuggestedForTypoInCustomBlock() { let program = """ define foo { option bar 0 } foo { baa 1 } """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("baa", _)? = error?.type else { XCTFail() return } XCTAssertEqual(error?.suggestion, "bar") } } func testAlternativeNotSuggestedWhenValidSymbolUsedInInvalidContext() { let program = """ define foo sphere foo { detail 1 } """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("detail", _)? = error?.type else { XCTFail() return } XCTAssertNil(error?.suggestion) } } func testShadowedColorInheritedByBlock() throws { let program = """ define black 1 0 0 union { color black cube } """ let scene = try evaluate(parse(program), delegate: nil) XCTAssertEqual(scene.children.first?.material.color, Color(1, 0, 0)) } // MARK: Position func testCumulativePosition() throws { let program = """ translate 1 0 0 cube { position 1 0 0 } """ let scene = try evaluate(parse(program), delegate: nil) XCTAssertEqual(scene.children.first?.transform.offset.x, 2) } func testPositionValidInPrimitive() { let program = """ cube { position 1 0 0 } """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testPositionValidInGroup() { let program = """ group { position 1 0 0 } """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testPositionValidInBuilder() { let program = """ extrude { position 1 0 0 circle } """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testPositionValidInCSG() { let program = """ difference { position 1 0 0 cube sphere } """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testPositionInvalidAtRoot() { let program = """ position 1 0 0 """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("position", _)? = error?.type else { XCTFail() return } } } func testPositionInvalidInDefine() { let program = """ define foo { position 1 0 0 cube } foo """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("position", _)? = error?.type else { XCTFail() return } } } func testSetPositionWithTupleConstant() throws { let program = """ define foo (1 0 0) 0 cube { position foo } """ let range = program.range(of: "foo", range: program.range(of: "position foo")!)! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "position", expected: "vector", got: "tuple" ), at: range)) } } func testSetPositionWithTupleOfConstantAndLiteral() throws { let program = """ define pos 1 0 0 cube { position pos 7 } """ let range = program.range(of: "7")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError( .unexpectedArgument(for: "position", max: 1), at: range )) } } func testDuplicatePositionCommand() throws { let program = """ cube { position 1 position 2 } """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } // MARK: Color func testSetColorWithParens() throws { let program = """ color (1 0 0) print color """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.red]) } func testColorWithoutParens() throws { let program = """ color 1 0 0 print color """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.red]) } func testSetColorWithSingleNumber() throws { let program = """ color 0 print color """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.black]) } func testSetColorWithConstant() throws { let program = """ define red 1 0 0 color red print color """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.red]) } func testSetColorWithTooManyElements() throws { let program = """ color 1 0 0 0.5 0.9 print color """ let range = program.range(of: "0.9")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError( .unexpectedArgument(for: "color", max: 4), at: range )) } } func testSetColorWithConstantWithTooManyElements() throws { let program = """ define foo 1 0 0 0.5 0.9 color foo print color """ let range = program.range(of: "foo", range: program.range(of: "color foo")!)! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "color", expected: "color", got: "tuple" ), at: range)) } } func testSetColorWithColorAlphaTuple() throws { let program = """ color (1 0 0) 0.5 print color """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color(1, 0, 0, 0.5)]) } func testSetColorWithColorAlphaTuple2() throws { let program = """ color (1 0 0 1) 0.5 print color """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color(1, 0, 0, 0.5)]) } func testSetColorWithTupleConstant() throws { let program = """ define foo (1 0 0) 0.5 color foo print color """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color(1, 0, 0, 0.5)]) } func testSetColorWithTupleOfConstantAndLiteral() throws { let program = """ define foo 1 0 0 color foo 0.5 print color """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color(1, 0, 0, 0.5)]) } func testSetColorWithTupleOfConstantAndLiteral2() throws { let program = """ define foo 1 0 0 1 color foo 0.5 print color """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color(1, 0, 0, 0.5)]) } func testSetColorWithTupleOfConstantAndLiteral3() throws { let program = """ define foo (1 0 0) 0.5 color foo print color """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color(1, 0, 0, 0.5)]) } func testSetColorWithTupleWithTooManyElements() throws { let program = """ color (1 0 0) 0.5 0.2 print color """ let range = program.range(of: "0.2")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError( .unexpectedArgument(for: "color", max: 2), at: range )) } } func testSetColorWithTupleConstantWithTooManyElements() throws { let program = """ define foo (1 0 0) 0.5 0.2 color foo print color """ let range = program.range(of: "foo", range: program.range(of: "color foo")!)! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError( .typeMismatch(for: "color", expected: "color", got: "tuple"), at: range )) } } func testSetColorWithHexLiteral() throws { let program = """ color #fff print color """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.white]) } func testSetColorWithHexConstant() throws { let program = """ define foo #fff color foo print color """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.white]) } func testSetColorWithHexTuple() throws { let program = """ define foo #fff color foo 0.5 print color """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color(1, 1, 1, 0.5)]) } func testSetColorWithHexTuple2() throws { let program = """ color #f000 0.5 print color """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color(1, 0, 0, 0.5)]) } func testSetColorWithHexTuple3() throws { let program = """ define foo #fff 0.5 color foo print color """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color(1, 1, 1, 0.5)]) } func testSetColorOptionSpecifiedAsTupleWithConstant() throws { let program = try parse(""" define foo { option c 0 1 color c cube } foo { c red } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) XCTAssertEqual(geometry.material.color, .red) } func testSetColorOptionSpecifiedAsTupleWithTuple() throws { let program = try parse(""" define foo { option c 0 1 color c cube } foo { c 1 0 0 } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) XCTAssertEqual(geometry.material.color, .red) } func testSetColorOptionSpecifiedAsConstantWithTuple() throws { let program = try parse(""" define foo { option c green color c cube } foo { c 1 0 0 } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) XCTAssertEqual(geometry.material.color, .red) } func testSetColorOptionSpecifiedAsTupleWithColorAlphaTuple() throws { let program = try parse(""" define foo { option c 0 1 color c cube } foo { c red 0.5 } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) XCTAssertEqual(geometry.material.color, Color.red.withAlpha(0.5)) } func testSetNonColorWithColorConstant() throws { let program = try parse(""" define foo { option c "foo" color c cube } foo { c red } """) let range = program.source.range(of: "red")! let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "c", expected: "string", got: "color" ), at: range)) } } func testSetNonColorWithColorAlphaTuple() throws { let program = try parse(""" define foo { option c "foo" color c cube } foo { c red 0.5 } """) let range = program.source.range(of: "red 0.5")! let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "c", expected: "string", got: "color" ), at: range)) } } func testSetColourWithBritishSpelling() throws { let program = """ colour red print color """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.red]) } func testGetColourWithBritishSpelling() throws { let program = """ color grey print colour """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.gray]) } func testColorInCube() throws { let program = try parse("cube { color 1 0 0 }") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) XCTAssertEqual(geometry.material.color, .red) } func testColorInCircle() throws { let program = try parse("circle { color 1 0 0 }") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) XCTAssertEqual(geometry.path?.points.first?.color, .red) } func testColorInPath() throws { let program = try parse(""" path { color red point 0 1 color blue point 0 -1 } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) let path = try XCTUnwrap(geometry.path) XCTAssertEqual(path.points.first?.color, .red) XCTAssertEqual(path.points.last?.color, .blue) } func testNestedPathColor() throws { let program = try parse(""" path { color red circle color green square } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) let path = try XCTUnwrap(geometry.path) XCTAssertEqual(path.subpaths.first?.points.first?.color, .red) XCTAssertEqual(path.subpaths.last?.points.first?.color, .green) } func testColorInText() throws { let program = try parse(""" text { color 1 0 0 "Hello" color 0 0 1 "World" } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) #if canImport(CoreText) let line1 = try XCTUnwrap(context.children.first?.value as? Geometry) XCTAssertEqual(line1.path?.points.first?.color, .red) let line2 = try XCTUnwrap(context.children.last?.value as? Geometry) XCTAssertEqual(line2.path?.points.first?.color, .blue) #endif } // MARK: Texture func testSetTextureWithStringLiteral() throws { let program = """ texture "Stars1.jpg" print texture """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Texture.file( name: "Stars1.jpg", url: testsDirectory.appendingPathComponent("Stars1.jpg") )]) } func testSetTextureWithStringConstant() throws { let program = """ define image "Stars1.jpg" texture image print texture """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Texture.file( name: "Stars1.jpg", url: testsDirectory.appendingPathComponent("Stars1.jpg") )]) } func testSetTextureWithStringInterpolation() throws { let program = """ texture ("Stars" 1 ".jpg") print texture """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Texture.file( name: "Stars1.jpg", url: testsDirectory.appendingPathComponent("Stars1.jpg") )]) } func testSetTextureWithStringInterpolationWithoutParens() throws { let program = """ texture "Stars" 1 ".jpg" print texture """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Texture.file( name: "Stars1.jpg", url: testsDirectory.appendingPathComponent("Stars1.jpg") )]) } func testSetTextureWithInterpolatedConstant() throws { let program = """ define image "Stars" 1 ".jpg" texture image print texture """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Texture.file( name: "Stars1.jpg", url: testsDirectory.appendingPathComponent("Stars1.jpg") )]) } func testSetTextureWithNonExistentImage() throws { let program = """ texture "Nope.jpg" print texture """ let range = program.range(of: "\"Nope.jpg\"")! let delegate = TestDelegate() XCTAssertThrowsError(try evaluate(parse(program), delegate: delegate)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError(.fileNotFound( for: "Nope.jpg", at: testsDirectory.appendingPathComponent("Nope.jpg") ), at: range)) } } func testTextureInvalidInCircle() { let input = """ circle { texture "Stars1.jpg" } """ let delegate = TestDelegate() XCTAssertThrowsError(try evaluate(parse(input), delegate: delegate)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unexpected symbol 'texture'") } } func testTextureInvalidInPath() { let input = """ path { texture "Stars1.jpg" } """ let delegate = TestDelegate() XCTAssertThrowsError(try evaluate(parse(input), delegate: delegate)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unexpected symbol 'texture'") } } func testTextureInvalidInText() { let input = """ text { texture "Stars1.jpg" } """ let delegate = TestDelegate() XCTAssertThrowsError(try evaluate(parse(input), delegate: delegate)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unexpected symbol 'texture'") } } // MARK: Background func testSetBackgroundColorWithParens() throws { let program = """ background (1 0 0) print background """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.red]) } func testSetBackgroundColorWithoutParens() throws { let program = """ background 1 0 0 print background """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.red]) } func testSetBackgroundColorWithSingleNumber() throws { let program = """ background 0 print background """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.black]) } func testSetBackgroundColorWithConstant() throws { let program = """ define bg 1 0 0 background bg print background """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.red]) } func testSetBackgroundColorWithColorConstant() throws { let program = """ color 1 0 0 background color print background """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.red]) } func testSetBackgroundColorWithTooManyElements() throws { let program = """ background 1 0 0 0.5 0.9 print background """ let range = program.range(of: "0.9")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError( .unexpectedArgument(for: "background", max: 4), at: range )) } } func testSetBackgroundTextureWithStringLiteral() throws { let program = """ background "Stars1.jpg" print background """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Texture.file( name: "Stars1.jpg", url: testsDirectory.appendingPathComponent("Stars1.jpg") )]) } func testSetBackgroundTextureWithStringConstant() throws { let program = """ define image "Stars1.jpg" background image print background """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Texture.file( name: "Stars1.jpg", url: testsDirectory.appendingPathComponent("Stars1.jpg") )]) } func testSetBackgroundTextureWithStringInterpolation() throws { let program = """ background ("Stars" 1 ".jpg") print background """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Texture.file( name: "Stars1.jpg", url: testsDirectory.appendingPathComponent("Stars1.jpg") )]) } func testSetBackgroundTextureWithInterpolatedConstant() throws { let program = """ define image "Stars" 1 ".jpg" background image print background """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Texture.file( name: "Stars1.jpg", url: testsDirectory.appendingPathComponent("Stars1.jpg") )]) } func testSetBackgroundTextureWithTextureConstant() throws { let program = """ texture "Stars1.jpg" background texture print background """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Texture.file( name: "Stars1.jpg", url: testsDirectory.appendingPathComponent("Stars1.jpg") )]) } func testSetBackgroundTextureWithNonExistentImage() throws { let program = """ background "Nope.jpg" print background """ let range = program.range(of: "\"Nope.jpg\"")! let delegate = TestDelegate() XCTAssertThrowsError(try evaluate(parse(program), delegate: delegate)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError(.fileNotFound( for: "Nope.jpg", at: testsDirectory.appendingPathComponent("Nope.jpg") ), at: range)) } } func testSetBackgroundTextureWithNonExistentInterpolatedPath() throws { let program = """ background "Nope" 1 ".jpg" print background """ let range = program.range(of: "\"Nope\" 1 \".jpg\"")! let delegate = TestDelegate() XCTAssertThrowsError(try evaluate(parse(program), delegate: delegate)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.type, .fileNotFound( for: "Nope1.jpg", at: testsDirectory.appendingPathComponent("Nope1.jpg") )) XCTAssertEqual(error?.range, range) } } func testSetBackgroundTextureToEmptyString() throws { let program = """ background "" print background """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.clear]) } func testBackgroundSetter() throws { let program = try parse("background red") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(context.background, .color(.red)) } func testBackgroundGetter() throws { let program = try parse("background") XCTAssertThrowsError(try evaluate(program, delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.type, .missingArgument( for: "background", type: .colorOrTexture )) } } func testBackgroundInDefine() throws { let program = try parse(""" background red define bg background print bg """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(context.background, .color(.red)) XCTAssertEqual(delegate.log, [Color.red]) } func testReturnBackgroundFromBlock() throws { let program = try parse(""" define bg { background } background red print bg """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(context.background, .color(.red)) XCTAssertEqual(delegate.log, [Color.red]) } func testSetBackgroundInFunction() throws { let program = try parse(""" define bg(color) { background color background } print bg(red) """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(context.background, .color(.red)) XCTAssertEqual(delegate.log, [Color.red]) } func testCameraBackground() throws { let program = """ background red camera { background blue } background green """ let scene = try evaluate(parse(program), delegate: nil) let camera = try XCTUnwrap(scene.cameras.first) XCTAssertEqual(camera.camera?.background, .color(.blue)) } func testCameraBackgroundShadowing() throws { let program = """ background red camera { background background 0.5 } """ let scene = try evaluate(parse(program), delegate: nil) let camera = try XCTUnwrap(scene.cameras.first) XCTAssertEqual(camera.camera?.background, .color(Color.red.withAlpha(0.5))) } func testCameraBackgroundNotInherited() throws { let program = """ background red camera {} """ let scene = try evaluate(parse(program), delegate: nil) let camera = try XCTUnwrap(scene.cameras.first) XCTAssertNil(camera.camera?.background) } func testCameraBackgroundNotDefaultedToClear() throws { let program = """ camera {} background red """ let scene = try evaluate(parse(program), delegate: nil) let camera = try XCTUnwrap(scene.cameras.first) XCTAssertNil(camera.camera?.background) } // MARK: Font func testSetValidFont() throws { let program = try parse("font \"Courier\"") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(context.font, "Courier") } func testGetValidFont() throws { let program = """ font "Courier" print font """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, ["Courier"]) } func testSetValidFontWithStringInterpolation() throws { let program = try parse("font (\"Cou\" \"rier\")") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(context.font, "Courier") } func testSetValidFontWithStringInterpolationWithoutParens() throws { let program = try parse("font \"Cou\" \"rier\"") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(context.font, "Courier") } func testSetValidFontWithInterpolatedConstant() throws { let program = try parse(""" define name "Cou" "rier" font name """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(context.font, "Courier") } func testSetValidFontWithUntrimmedSpace() throws { let program = try parse("font \" Courier \"") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(context.font, "Courier") } func testSetInvalidFont() throws { #if canImport(CoreGraphics) let program = try parse("font \"foo\"") let range = program.source.range(of: "\"foo\"")! let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unknown font 'foo'") XCTAssertEqual(error?.range, range) guard case .unknownFont("foo", options: _)? = error?.type else { XCTFail() return } } XCTAssertEqual(context.font, "") #endif } func testSetEmptyFontString() throws { #if canImport(CoreGraphics) let program = try parse("font \"\"") let range = program.source.range(of: "\"\"")! let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Font name cannot be blank") XCTAssertEqual(error?.range, range) guard case .unknownFont("", options: _)? = error?.type else { XCTFail() return } } XCTAssertEqual(context.font, "") #endif } func testSetBlankFont() throws { #if canImport(CoreGraphics) let program = try parse("font \" \"") let range = program.source.range(of: "\" \"")! let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Font name cannot be blank") XCTAssertEqual(error?.range, range) guard case .unknownFont("", options: _)? = error?.type else { XCTFail() return } } XCTAssertEqual(context.font, "") #endif } func testSetFontWithFile() throws { #if canImport(CoreGraphics) let program = try parse("font \"EdgeOfTheGalaxyRegular-OVEa6.otf\"") let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(context.font, "Edge of the Galaxy Regular") #endif } // MARK: Import func testImport() throws { let program = try parse("import \"File1.shape\"") let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) try? program.evaluate(in: context) // Throws file not found, but we can ignore XCTAssertEqual(delegate.imports, ["File1.shape"]) } func testImportWithStringInterpolation() throws { let program = try parse("import (\"File\" 1 \".shape\")") let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) try? program.evaluate(in: context) // Throws file not found, but we can ignore XCTAssertEqual(delegate.imports, ["File1.shape"]) } func testImportWithStringInterpolationWithoutParens() throws { let program = try parse("import \"File\" 1 \".shape\"") let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) try? program.evaluate(in: context) // Throws file not found, but we can ignore XCTAssertEqual(delegate.imports, ["File1.shape"]) } // MARK: Command invocation func testInvokeCustomVoidFunctionInsideExpression() { let program = """ define foo() {} print foo """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testInvokeCustomVoidFunctionWithParamInsideExpression() { let program = """ define foo(bar) {} print foo(3) """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testCommandParameterPrecedence() throws { let program = """ define foo(bar) {} print (4 + 5) / 3 """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [3]) } // MARK: Block invocation func testInvokePrimitive() { let program = "cube { size 2 }" XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testInvokePrimitiveWithoutBlock() { let program = "cube" XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testInvokeDefineWithoutBlock() { let program = """ define foo {} foo """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testInvokeBuilderWithoutBlock() { let program = "lathe" let range = program.endIndex ..< program.endIndex XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Missing argument") XCTAssertEqual(error, RuntimeError( .missingArgument(for: "lathe", type: "path or block"), at: range )) } } func testInvokeGroupWithoutBlock() { let program = "group" let range = program.endIndex ..< program.endIndex XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Missing argument") XCTAssertEqual(error, RuntimeError( .missingArgument(for: "group", type: "mesh or block"), at: range )) } } func testInvokeExtrudeWithSingleArgument() throws { let program = "extrude square" let scene = try evaluate(parse(program), delegate: nil) XCTAssertEqual(scene.children.first?.type, .extrude([.square()], .default)) } func testInvokeExtrudeWithSingleArgumentInParens() throws { let program = "extrude(square)" let scene = try evaluate(parse(program), delegate: nil) XCTAssertEqual(scene.children.first?.type, .extrude([.square()], .default)) } func testInvokeExtrudeWithMultipleArguments() throws { let program = "extrude square circle" let scene = try evaluate(parse(program), delegate: nil) XCTAssertEqual( scene.children.first?.type, .extrude([.square(), .circle()], .default) ) } func testInvokeExtrudeWithSingleArgumentInsideExpression() throws { let program = "extrude text \"foo\"" let scene = try evaluate(parse(program), delegate: nil) #if canImport(CoreText) XCTAssertEqual(scene.children.first?.type, .extrude(Path.text("foo"), .default)) #endif } func testInvokeExtrudeWithSingleArgumentOfWrongType() { let program = "extrude sphere" let range = program.range(of: "sphere")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Type mismatch") XCTAssertEqual(error?.hint, "The argument for extrude should be a path or block, not a mesh.") XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "extrude", expected: "path or block", got: "mesh" ), at: range)) } } func testInvokeXorWithMultipleArguments() throws { let program = "xor cube sphere" let scene = try evaluate(parse(program), delegate: nil) XCTAssertEqual(scene.children.first?.type, .xor) XCTAssertEqual(scene.children.first?.children.map { $0.type }, [ .cube, .sphere(segments: 16), ]) } func testInvokeBlockInExpressionWithMultipleArgumentsWithoutParens() throws { let program = "print xor cube sphere" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual((delegate.log.first as? Geometry)?.type, .xor) } func testInvokeBlockInExpressionWithMultipleArgumentsInParens() throws { let program = "print (xor cube sphere)" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual((delegate.log.first as? Geometry)?.type, .xor) } func testInvokeTextInExpressionWithoutParens() { let program = "print 1 + text \"foo\"" let range = program.range(of: "text")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Missing argument") XCTAssertEqual(error, RuntimeError( .missingArgument(for: "text", type: "text or block"), at: range.upperBound ..< range.upperBound )) } } func testInvokeTextInExpressionWithParensButWrongArgumentType() { let program = "print 1 + (text cube)" let range = program.range(of: "cube")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Type mismatch") XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "text", expected: "text or block", got: "mesh" ), at: range)) } } func testAttemptToExtrudeMesh() throws { let program = """ extrude { cube } """ let range = program.range(of: "cube")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unused value") XCTAssertEqual(error, RuntimeError(.unusedValue(type: "mesh"), at: range)) } } func testExtrudeTextWithParens() throws { let program = """ extrude { (text "foo") } """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testExtrudeTextWithoutParens() throws { let program = """ extrude { text "foo" } """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testExtrudeAlongTextWithParens() throws { let program = """ extrude { square { size 0.01 } along (text "foo") } """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testExtrudeAlongTextWithoutParens() throws { let program = """ extrude { square { size 0.01 } along text "foo" } """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testExtrudeAlongMultiplePathsWithoutParens() { let program = """ extrude { square { size 0.01 } along circle square } """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testExtrudeAlongNumber() { let program = """ extrude { square { size 0.01 } along 2 } """ let range = program.range(of: "2")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Type mismatch") XCTAssertEqual(error?.hint, "The argument for along should be a path, not a number.") XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "along", expected: "path", got: "number" ), at: range)) } } func testExtrudeAlongPathAndNumber() { let program = """ extrude { square { size 0.01 } along square 2 } """ let range = program.range(of: "2")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Type mismatch") // TODO: this message isn't really ideal - need different handling for paths arguments XCTAssertEqual(error?.hint, "The second argument for along should be a path, not a number.") XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "along", index: 1, expected: "path", got: "number" ), at: range)) } } func testBlockReturnsGroupedMeshes() throws { let program = try parse(""" define foo { cube { size 0.5 } cube { size 0.8 } } foo """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(context.children.count, 1) } func testBlockReturningPathInsidePath() throws { let program = try parse(""" define foo path { point 0 0 point 1 0 point 1 1 } path { foo } """) XCTAssertNoThrow(try evaluate(program, delegate: nil)) } // MARK: Ranges func testRange() { let program = "print 0 to 3" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [RangeValue(from: 0, to: 3)]) } func testInvalidRange() { let program = "print 4 to 3" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [RangeValue(from: 4, to: 3)]) } func testNegativeRange() { let program = "print -3 to -2" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [RangeValue(from: -3, to: -2)]) } func testFloatRange() { let program = "print 0.5 to 1.5" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [RangeValue(from: 0.5, to: 1.5)]) } func testRangeWithStep() { let program = "print 0.5 to 1.5" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [RangeValue(from: 0.5, to: 1.5)]) } func testRangePrecedence() { let program = "print 1 + 2 to 5 * 3 step 1 + 1" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [RangeValue(from: 3, to: 15, step: 2)]) } func testRangeWithNonNumericStartValue() { let program = "define range \"foo\" to 10" let range = program.range(of: "\"foo\"")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Type mismatch") XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "start value", expected: "number", got: "string" ), at: range)) } } func testRangeWithNonNumericEndValue() { let program = "define range 1 to \"bar\"" let range = program.range(of: "\"bar\"")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Type mismatch") XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "end value", expected: "number", got: "string" ), at: range)) } } func testRangeWithNonNumericStepValue() { let program = "define range 1 to 5 step \"foo\"" let range = program.range(of: "\"foo\"")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Type mismatch") XCTAssertEqual(error?.hint, "The step value should be a number, not a string.") XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "step value", expected: "number", got: "string" ), at: range)) } } func testRangeWithZeroStepValue() { let program = "define range 1 to 5 step 0" let range = program.range(of: "0")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Assertion failure") XCTAssertEqual(error, RuntimeError( .assertionFailure("Step value must be nonzero"), at: range )) } } func testRangeExtendedByStepValue() { let program = """ define range 1 to 5 print range step 2 """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [RangeValue(from: 1, to: 5, step: 2)]) } func testRangeWithStepExtendedByDifferentStepValue() { let program = """ define range 1 to 5 step 3 print range step 2 """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [RangeValue(from: 1, to: 5, step: 2)]) } // MARK: For loops func testForLoopWithIndex() { let program = "for i in 1 to 3 { print i }" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1, 2, 3]) } func testForLoopWithoutIndex() { let program = "for 1 to 3 { print 0 }" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0, 0, 0]) } func testForLoopWithInvalidRange() { let program = "for 3 to 1 { print 0 }" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, []) } func testForLoopWithNegativeRange() { let program = "for i in -3 to -2 { print i }" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [-3, -2]) } func testForLoopWithFloatRange() { let program = "for i in 0.5 to 1.5 { print i }" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0.5, 1.5]) } func testForLoopWithFloatStep() { let program = "for i in 0 to 1 step 0.5 { print i }" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0, 0.5, 1]) } func testForLoopWithNonRangeExpression() { let program = "for 1 { print i }" let range = program.range(of: "1")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Type mismatch") XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "loop bounds", expected: "range or tuple", got: "number" ), at: range)) } } func testForLoopWithNonRangeExpression2() { let program = "for i in \"foo\" { print i }" let range = program.range(of: "\"foo\"")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Type mismatch") XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "loop bounds", expected: "range or tuple", got: "string" ), at: range)) } } func testForLoopWithTuple() { let program = "for i in (3 1 4 1 5) { print i }" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [3, 1, 4, 1, 5]) } func testForLoopWithSingleElementTuple() { let program = "for i in (5) { print i }" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [5]) } func testForLoopWithEmptyTuple() { let program = "for i in () { print i }" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, []) } func testForLoopWithNonNumericTuple() { let program = "for i in (\"hello\" \"world\") { print i }" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, ["hello", "world"]) } func testForLoopWithRangeVariable() { let program = """ define range 1 to 3 for i in range { print i } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1, 2, 3]) } func testForLoopWithRangeVariableAndNoIndex() { let program = """ define range 1 to 3 for range { print "a" } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, ["a", "a", "a"]) } func testForLoopWithRangeVariableExtendedByStepValue() { let program = """ define range 1 to 5 for i in range step 2 { print i } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1, 3, 5]) } func testForLoopWithRangeVariableExtendedByStepValueAndNoIndex() { let program = """ define range 1 to 5 for range step 2 { print "a" } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, ["a", "a", "a"]) } func testForLoopWithTupleVariable() { let program = """ define values 3 1 4 1 5 for i in values { print i } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [3, 1, 4, 1, 5]) } func testForLoopWithSingleElementVariable() { let program = """ define values 3 for i in values { print i } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [3]) } func testForLoopWithExpressionInLoopRange() { let program = """ define i 2 for i + 1 to 3 + 2 step 2 - 1 { print "a" } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, ["a", "a", "a"]) } func testForLoopWithColorProperty() { let program = "for i in color { print i }" let range = program.range(of: "color")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Type mismatch") XCTAssertEqual(error?.hint, "The loop bounds should be a range or tuple, not a color.") XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "loop bounds", expected: "range or tuple", got: "color" ), at: range)) } } func testPrintTo() { let program = """ define to 5 print to """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? ParserError) guard case .unexpectedToken(_, expected: "end value") = error?.type else { XCTFail() return } } } func testPrintToInParens() { let program = """ define to 5 print (to) """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [5]) } func testForLoopRangePrecision() { for i in 1 ... 100 { let program = """ define a \(i) define b 8 define c (b/a) for i in 1 to b + (1 - c) step c { print(i) } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log.count, i) } } // MARK: If/else func testIfTrue() { let program = "if true { print true }" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true]) } func testIfFalse() { let program = "if false { print true }" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, []) } func testIfFalseElse() { let program = "if false { print true } else { print false }" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [false]) } func testIfColor() { let program = "if red { print i }" let range = program.range(of: "red")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Type mismatch") XCTAssertEqual(error?.hint, "The if condition should be a boolean, not a color.") XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "if condition", expected: "boolean", got: "color" ), at: range)) } } func testIfNot() { let program = "if not 3 < 1 { print true }" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true]) } // MARK: Math functions func testInvokeMonadicFunction() { let program = "print cos pi" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [cos(Double.pi)]) } func testInvokeMonadicFunctionWithNoArgs() { let program = "print cos" let range = program.endIndex ..< program.endIndex XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError( .missingArgument(for: "cos", type: "angle in radians"), at: range )) } } func testInvokeMonadicFunctionWithTwoArgs() { let program = "print cos 1 2" let range = program.range(of: "2")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError( .unexpectedArgument(for: "cos", max: 1), at: range )) } } func testInvokeDyadicFunction() { let program = "print pow 1 2" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [pow(1.0, 2.0)]) } func testInvokeDyadicFunctionWithNoArgs() { let program = "print pow" let range = program.endIndex ..< program.endIndex XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError( .missingArgument(for: "pow", type: "number"), at: range )) } } func testInvokeDyadicFunctionWithOneArg() { let program = "print pow 1" let range = program.endIndex ..< program.endIndex XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError( .missingArgument(for: "pow", index: 1, type: "number"), at: range )) } } func testInvokeDyadicFunctionWithThreeArgs() { let program = "print pow 1 2 3" let range = program.range(of: "3")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError( .unexpectedArgument(for: "pow", max: 2), at: range )) } } func testInvokeFunctionInExpressionWithParens() { let program = "print 1 + (sqrt 9) 5" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [4, 5]) } func testInvokeFunctionInExpressionWithoutParens() { let program = "print 1 + sqrt 9" let range = program.range(of: "sqrt")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError( .missingArgument(for: "sqrt", type: "number"), at: range.upperBound ..< range.upperBound )) } } func testInvokeFunctionInExpressionWithParensButWrongArgumentType() { let program = "print 1 + (sqrt \"a\")" let range = program.range(of: "\"a\"")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "sqrt", expected: "number", got: "string" ), at: range)) } } func testInvokeFunctionInExpressionWithParensButMissingArgument() { let program = "print 1 + (pow 1)" let range = program.range(of: ")")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError( .missingArgument(for: "pow", index: 1, type: "number"), at: range.lowerBound ..< range.lowerBound )) } } func testInvokeFunctionInExpressionWithParensButMissingArgument2() { let program = "print 1 + pow(1)" let range = program.range(of: ")")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError( .missingArgument(for: "pow", index: 1, type: "number"), at: range.lowerBound ..< range.lowerBound )) } } func testInvokeFunctionInExpressionWithParensButExtraArgument() { let program = "print 1 + (pow 1 2 3)" let range = program.range(of: "3")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError( .unexpectedArgument(for: "pow", max: 2), at: range )) } } func testInvokeFunctionInExpressionWithParensButExtraArgument2() { let program = "print 1 + pow(1 2 3)" let range = program.range(of: "3")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError( .unexpectedArgument(for: "pow", max: 2), at: range )) } } func testMinFunction() { let program = "print min 1 2" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1]) } func testMinWithThreeArgs() { let program = "print min 1 2 -1" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [-1]) } func testMinWithOneArg() { let program = "print min 1" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1]) } func testMinWithNoArgs() { let program = "print min" let range = program.range(of: "min")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error, RuntimeError( .missingArgument(for: "min", type: "number"), at: range.upperBound ..< range.upperBound )) } } func testMinWithEmptyTuple() { let program = """ define foo () print min foo """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0]) } func testMaxFunction() { let program = "print max 1 2" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [2]) } func testSignFunction() { let program = """ print sign -10 print sign 7.5 print sign 0 print sign -0 """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [-1, 1, 0, 0]) } func testFunctionAmbiguity() { let program = "print -cos(pi) + sin(pi)" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [-cos(Double.pi) + sin(.pi)]) } func testFunctionAmbiguity2() { let program = """ define a 1 define b 2 print -a (pi) + b (pi) """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [-1, Double.pi + 2, Double.pi]) } func testFunctionAmbiguity3() { let program = """ define a 1 print -a (pi) """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [-1, Double.pi]) } func testFunctionAmbiguity4() { let program = """ define a 0.999999 define b 1000 define trunc() { floor(a * b) / b } print floor(a * b) / b print (floor a * b) / b print trunc() """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0.999, 0.999, 0.999]) } func testFunctionAmbiguity5() { let program = """ define foo { option length 120 print length } foo { length 40 } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [40]) } // MARK: Numeric comparison func testGT() { let program = "print 5 > 1" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true]) } func testGT2() { let program = "print 5 > 6" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [false]) } func testGT3() { let program = "print 5 > 5" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [false]) } func testGTE() { let program = "print 2 >= 1" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true]) } func testGTE2() { let program = "print 2 >= 5" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [false]) } func testGTE3() { let program = "print -2 >= -2" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true]) } func testLT() { let program = "print 1 < 2" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true]) } func testLT2() { let program = "print 5 < 4" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [false]) } func testLT3() { let program = "print -2 < -2" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [false]) } func testLTE() { let program = "print 1 <= 2" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true]) } func testLTE2() { let program = "print 5 <= 4" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [false]) } func testLTE3() { let program = "print -2 <= -2" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true]) } // MARK: Equality func testNumbersEqual() { let program = "print 5 = 5" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true]) } func testNumbersEqual2() { let program = "print 5 = 2" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [false]) } func testNumbersUnequal() { let program = "print 5 <> 5" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [false]) } func testNumbersUnequal2() { let program = "print 5 <> 4" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true]) } func testStringsEqual() { let program = "print \"foo\" = \"foo\"" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true]) } func testStringsEqual2() { let program = "print \"foo\" = \"bar\"" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [false]) } func testStringsUnequal() { let program = "print \"foo\" <> \"foo\"" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [false]) } func testStringsUnequal2() { let program = "print \"foo\" <> \"bar\"" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true]) } func testTuplesEqual() { let program = "print 1 2 3 = 1 2 3" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1, 2, false, 2, 3]) } func testTuplesEqual2() { let program = "print (1 2 3) = (1 2 3)" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true]) } func testFunctionResultsEqual() { let program = "print min(1 2) = 1" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true]) } func testMismatchedTypesEqual() { let program = "print \"foo\" = 5" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [false]) } func testMismatchedTypesUnequal() { let program = "print \"foo\" <> 5" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true]) } func testGeometriesEqual() { let program = """ define a cube define b cube print a = b """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true]) } // MARK: Math operators func testNegateNumericExpression() { let program = """ print -(1 + 2) """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [-3.0]) } func testNegateNumericStringExpression() { let program = """ print -(\"1\" + \"2\") """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [-3.0]) } func testNegateNumericString() { let program = """ print -\"42\" """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [-42.0]) } func testCoerceNumericString() { let program = """ print +\"42\" """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [42.0]) } func testCoerceNumericStringExpression() { let program = """ print +(\"1\" + \"2\") """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [3.0]) } func testModuloOperator() { let program = """ print 3 % 3 print 5 % 2 print 5 % 3 print 7 % 2 print -7 % 2 print -5 % 3 print -5 % -3 print 3 % 1.5 print -4.5 % 1.25 """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0, 1, 2, 1, -1, -2, -2, 0, -0.75]) } // MARK: Boolean algebra func testLogicalAnd() { let program = """ print true and true print true and false print false and true print false and false """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true, false, false, false]) } func testLogicalOr() { let program = """ print true or true print true or false print false or true print false or false """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true, true, true, false]) } func testChainedLogicOperators() { let program = """ print 1 > 3 or 1 < 3 and 2 = 2 print 1 = 1 and 2 = 2 or false print false and true and true """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true, true, false]) } func testPrintOr() { let program = """ define or 5 print or """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? ParserError) guard case .unexpectedToken(_, expected: "operand") = error?.type else { XCTFail() return } } } func testPrintOrInParens() { let program = """ define or 5 print (or) """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [5]) } func testNotVsComparisonOperators() { let program = """ print not 1 > 3 print not 1 < 3 """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true, false]) } func testNotVsEquality() { let program = """ print not true = false print not true <> false print not 5 = 6 """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true, false, true]) } func testNotVsBooleanOperators() { let program = """ print not true or false print not true or true print not true and true """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [false, true, false]) } func testNotVsParens() { let program = """ print (not true) = false print not(true) = false print true = (not false) """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [true, true, true]) } func testPrintNot() { let program = """ define not 5 print not """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [5]) } func testMisspelledAndOperator() { let program = "print true AND false" XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.suggestion, "and") guard case .unknownSymbol("AND", _) = error?.type else { XCTFail() return } } } func testMisspelledOrOperator() { let program = "print true OR false" XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.suggestion, "or") guard case .unknownSymbol("OR", _) = error?.type else { XCTFail() return } } } func testLogicalOrShortCircuits() { let program = """ define foo() { print "foo" true } print foo() or foo() """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, ["foo", true]) } func testLogicalAndShortCircuits() { let program = """ define foo() { print "foo" false } print foo() and foo() """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, ["foo", false]) } // MARK: Vector algebra func testNumericTupleNegation() { let program = "print -(1 0 -2)" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [-1.0, 0, 2.0]) } func testNumericStringTupleNegation() { let program = "print -(\"1\" \"0\" \"-2\")" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [-1.0, 0, 2.0]) } func testNumericStringTupleCoercion() { let program = "print +(\"1\" \"0\" \"-2\")" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1.0, 0, -2.0]) } func testNumericTupleScalarMultiply() { let program = "print (1 0 -2) * 3" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [3.0, 0, -6.0]) } func testNumericTupleMultiply() { let program = "print (1 0 -2) * (2 3 4)" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [2.0, 0, -8.0]) } func testNumericTupleMultiplyShorten() { let program = "print (1 0 -2) * (2 3)" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [2.0, 0]) } func testNumericTupleMultiplyNoWiden() { let program = "print (1 0) * (2 3 4)" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [2.0, 0]) } func testNumericTupleScalarDivide() { let program = "print (-1 3) / 2" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [-0.5, 1.5]) } func testNumericStringTupleScalarMultiply() { let program = "print (\"1\" \"-2\") * \"3\"" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [3.0, -6.0]) } func testNonNumericStringTupleScalarMultiply() { let program = "print (\"foo\" \"bar\") * 3" XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .typeMismatch( for: "*", index: 0, expected: "number or vector", got: "tuple" )? = error?.type else { XCTFail() return } } } func testNumericTupleScalarAdd() { let program = "print (-1 3) + 2" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1.0, 5.0]) } func testNumericTupleAdd() { let program = "print (-1 3) + (2 1)" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1.0, 4.0]) } func testNumericTupleSubtract() { let program = "print (-1 3) - (2 1)" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [-3.0, 2.0]) } func testNumericTupleAddNoShorten() { let program = "print (-1 3 2) + (2 1)" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1.0, 4.0, 2.0]) } func testNumericTupleAddNoWiden() { let program = "print (-1 3) + (2 1 2)" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1.0, 4.0]) } // MARK: Member lookup func testTupleVectorLookup() { let program = "print (1 0).x" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1.0]) } func testOutOfBoundsTupleVectorLookup() { let program = "print (1 0).z" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0.0]) } func testTooLongTupleVectorLookup() { let program = "print (1 2 3 4).x" XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownMember("x", of: "tuple", _)? = error?.type else { XCTFail() return } } } func testSingleElementTupleVectorLookup() { let program = "print (1).x" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1.0]) } func testNestedSingleElementTupleVectorLookup() { let program = "print (1 (2)).x" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1.0]) } func testNestedSingleElementTupleVectorLookup2() { let program = "print ((1) 2).x" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1.0]) } func testStringTupleVectorLookup() { let program = "print (\"1\" \"2\").x" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1.0]) } func testMixedTupleVectorLookup() { let program = "print (\"1\" 2).x" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1.0]) } func testTupleSizeHeightLookup() { let program = "print (1 0.5).height" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0.5]) } func testTupleSizeDepthLookup() { let program = "print (1 0.5).depth" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1.0]) } func testTupleRotationRollLookup() { let program = "print (1 0.5).roll" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssert(delegate.log == [1.0] || delegate.log == [-1]) } func testTupleRotationPitchLookup() { let program = "print (1 0.5).pitch" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0.0]) } func testTupleRGBARedLookup() { let program = "print (0.1 0.2 0.3 0.4).red" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0.1]) } func testTupleRGBAlphaLookup() { let program = "print (0.1 0.2 0.3).alpha" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1.0]) } func testTupleIAGreenLookup() { let program = "print (0.1 0.2).green" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0.1]) } func testTupleIAAlphaLookup() { let program = "print (0.1 0.2).alpha" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0.2]) } func testHexAlphaLookup() { let program = "print #f00.alpha" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1]) } func testHexTupleAlphaLookup() { let program = "print (#f00 0.2).alpha" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0.2]) } func testHexStringAlphaLookup() { let program = "print \"#f00\".alpha" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1]) } func testHexStringTupleAlphaLookup() { let program = "print (\"#f00\" 0.2).alpha" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0.2]) } func testTooLongTupleColorLookup() { let program = "print (1 2 3 4 5).red" XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unknown tuple member property 'red'") XCTAssertNotEqual(error?.suggestion, "red") guard case .unknownMember("red", of: "tuple", _) = error?.type else { XCTFail() return } } } func testEmptyTupleColorLookup() { let program = "print ().blue" XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unknown empty tuple member property 'blue'") XCTAssertNotEqual(error?.suggestion, "blue") guard case .unknownMember("blue", of: "empty tuple", _) = error?.type else { XCTFail() return } } } func testTupleWordsLookup() { let program = "print (\"foo\" 1 2).words" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, ["foo1", "2"]) } func testTupleCharactersLookup() { let program = "print (\"foo\" 1).characters" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, ["f", "o", "o", "1"]) } func testNonNumericColorLookup() { let program = "print (\"foo\" \"bar\").red" XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unknown tuple member property 'red'") guard case .unknownMember("red", of: "tuple", _)? = error?.type else { XCTFail() return } } } func testTupleNonexistentLookup() { let program = "print (1 2).foo" XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unknown tuple member property 'foo'") guard case .unknownMember("foo", of: "tuple", _) = error?.type else { XCTFail() return } } } func testColorWidthLookup() { let program = "color 1 0.5\nprint color.width" XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unknown color member property 'width'") guard case .unknownMember("width", of: "color", _)? = error?.type else { XCTFail() return } } } func testRotationXLookup() { let program = """ cube { print orientation.x } """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unknown rotation member property 'x'") guard case .unknownMember("x", of: "rotation", _)? = error?.type else { XCTFail() return } } } func testRotationYawLookup() { let program = """ cube { orientation 0.3 0.2 0.1 print orientation.yaw } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log.first as? Double ?? 0, 0.2, accuracy: epsilon) } func testTupleOrdinalLookup() { let program = "define col 1 0.5\nprint col.second" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log.first as? Double ?? 0, 0.5, accuracy: epsilon) } func testTupleOrdinalOutOfBoundsLookup() { let program = "define col 1 0.5\nprint col.third" XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unknown tuple member property 'third'") guard case .unknownMember("third", of: "tuple", _)? = error?.type else { XCTFail() return } } } func testTupleVeryHighOrdinalLookups() { let numbers = (1 ... 99).map { $0.description }.joined(separator: " ") let program = """ define foo \(numbers) print foo.tenth print foo.nineteenth print foo.twentythird print foo.thirtyninth print foo.fortyseventh print foo.fiftythird print foo.sixtyeighth print foo.seventyfirst print foo.eightysixth print foo.ninetysecond """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [10, 19, 23, 39, 47, 53, 68, 71, 86, 92]) } func testTupleCountLastRestLookup() { let program = """ define foo 2 4 6 print foo.count print foo.last print foo.allButFirst print foo.allButLast """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [3, 6, 4, 6, 2, 4]) } func testSingleValueOrdinalLookup() { let program = """ define foo 10 print foo.first print foo.count print foo.last print foo.allButFirst print foo.allButLast """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [10, 1, 10]) } func testEmptyTupleOrdinalLookup() { let program = """ define foo () print foo.count print foo.allButFirst print foo.allButLast """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0]) } func testSingleNumberXComponentLookup() { let program = """ define foo 10 print foo.x """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [10]) } func testSingleVectorYComponentLookup() { let program = """ define foo 1 2 3 define bar foo print bar.y """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [2]) } func testSingleVectorColorComponentLookup() { let program = """ define foo color define bar foo print bar.red """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [1]) } func testMeshBoundsLookup() { let program = """ print (fill square).bounds """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Bounds( min: .init(-0.5, -0.5, 0), max: .init(0.5, 0.5, 0) )]) } func testMeshPolygonsLookup() throws { let program = """ print (fill square).polygons """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, Mesh.fill(.square()).polygons) } func testPathPolygonsLookup() throws { let program = """ print square.polygons """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unknown path member property 'polygons'") guard case .unknownMember("polygons", of: "path", _)? = error?.type else { XCTFail() return } } } func testCameraPolygonsLookup() throws { let program = """ print camera.polygons """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unknown camera member property 'polygons'") guard case .unknownMember("polygons", of: "camera", _)? = error?.type else { XCTFail() return } } } func testInvalidMeshComponentLookup() { let program = """ print (fill { circle }).x """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unknown mesh member property 'x'") guard case .unknownMember("x", of: "mesh", _)? = error?.type else { XCTFail() return } } } func testPolygonPointsLookup() throws { let program = """ print cube.polygons.first.points """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) let points = try XCTUnwrap(delegate.log as? [PathPoint]) XCTAssertEqual(points.count, 4) } func testPointColorLookup() throws { let program = """ define foo path { color red point 0 0 color green point 1 0 point 1 1 } print foo.points.first.color print foo.points.second.color """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.red, Color.green]) } func testMemberPrecedence() { let program = """ define a 0.5 0.3 define b 0.2 0.4 print a.x * b.x + a.y * b.y """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0.22]) } func testMemberChaining() { let program = """ define a (1 2 3) (4 5 6) print a.second.y """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [5]) } func testNestedMemberLookup() { let program = """ define a ((1 2 3) (4)) print a.second.first """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [4]) } func testBlockResultTupleValueLookup() { let program = """ define a { option b 0 b + 1 b + 2 } define c a { b 4 } print c.second """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [6]) } func testFunctionResultTupleValueLookup2() { let program = """ define a(b) { b + 1 b + 2 } define c a(4) print c.second """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [6]) } func testFunctionResultNestedTupleValueLookup() { let program = """ define a(b) { (b + 1 b + 2) (b + 3 b + 4) } define c a(4) print c.second.first """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [7]) } func testFunctionResultNestedTuplesCollapsedIfNeeded() { let program = """ define triangle { polygon { point 1 0 point 1 1 point 0 1 } } define triangles { for 1 to 3 { triangle } } define triangles2 { for 1 to 3 { triangles } } mesh { triangles2 } """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } // MARK: Recursion func testRecursiveLookupInBlockDefinition() { let program = """ define foo { foo } foo """ let range = program.range(of: "foo", range: program.range(of: "{\n foo")) XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.range, range) guard case .assertionFailure("Too much recursion")? = error?.type else { XCTFail() return } } } func testRecursiveLookupInFunctionDefinition() { let program = """ define foo() { foo() } foo """ let range = program.range(of: "foo()", range: program.range(of: "{\n foo()")) XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.range, range) guard case .assertionFailure("Too much recursion")? = error?.type else { XCTFail() return } } } func testRecursionWhenCallingBlock() { let program = """ define foo { cube { position foo } } foo """ let range = program.range(of: "foo", range: program.range(of: "position foo")) XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.range, range) guard case .assertionFailure("Too much recursion")? = error?.type else { XCTFail() return } } } func testRecursionWhenCallingFunction() { let program = """ define foo() { cube { position foo } } foo() """ let range = program.range(of: "foo", range: program.range(of: "position foo")) XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.range, range) guard case .assertionFailure("Too much recursion")? = error?.type else { XCTFail() return } } } func testRecursiveMemberLookup() { let program = """ define foo { cube { position foo.x } } foo """ let range = program.range(of: "foo", range: program.range(of: "position foo")) XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.range, range) guard case .assertionFailure("Too much recursion")? = error?.type else { XCTFail() return } } } // MARK: Custom functions func testCustomFunctionDoesntInheritChildrenOfParentScope() { let program = """ sphere define foo(a b) { a + b } print foo(1 2) """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [3]) } func testCustomFunctionInheritsSymbolsFromParentScope() { let program = """ define c 3 define foo(a b) { a + b + c } print foo(1 2) """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [6]) } func testCustomFunctionDoesntInheritSymbolsFromCallerScope() { let program = """ define foo(a b) { a + b + c } define bar { define c 3 print foo(1 2) } bar """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("c", options: _) = error?.type else { XCTFail() return } } } func testCustomFunctionDoesntOverrideSymbolsFromParentScope() { let program = """ define c 3 define foo() { define c 4 } foo() print c """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [3]) } func testCustomFunctionCanUseGlobalsymbols() { let program = """ define foo(a b) { a + b + cos(pi) } print foo(1 2) """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [2]) } func testCustomFunctionCanAffectMaterial() { let program = """ define foo() { color 1 0 0 } foo() print color """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [Color.red]) } func testCustomFunctionCanAffectTransform() throws { let program = try parse(""" define foo() { translate 1 } foo() """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(context.childTransform.offset, Vector(1, 0, 0)) } func testValidUseOfPointInCustomFunction() { let program = """ define foo(x y) { point x y } path { foo(1 0) foo(1 1) foo(0 1) } """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testInvalidUseOfPointInCustomFunction() { let program = """ define foo(x y) { point x y } foo(1 0) """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unexpected symbol 'point'") XCTAssertEqual(error?.hint, "The point command is not available in this context.") guard case .unknownSymbol("point", options: _)? = error?.type else { XCTFail() return } } } func testCallFunctionBeforeDeclaration() { let program = """ foo 5 define foo(x) { x } """ XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Forward reference") XCTAssertEqual(error?.hint, "The symbol 'foo' was used before it was defined.") guard case .forwardReference("foo")? = error?.type else { XCTFail() return } } } func testReferenceFunctionBeforeDeclaration() { let program = """ define bar(x) { foo(x) } define foo(x) { x } """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testNestedFunctionReferenceBeforeDeclaration() { let program = """ define foo() { define bar { baz } define baz { 5 } bar } """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } // MARK: Text command func testNumberConvertedToText() { let program = """ text 5 """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testNumberConvertedToTextInsidePrintCommand() { let program = """ print text 5 print text "5" """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) #if canImport(CoreText) XCTAssert(delegate.log.first is Path) XCTAssertEqual(delegate.log.count, 2) XCTAssertEqual(delegate.log.first, delegate.log.last) #endif } func testNumberConvertedToTextInBlock() { let program = """ print text { 5 2 } print text { "5 2" } """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) #if canImport(CoreText) XCTAssert(delegate.log.first is Path) guard delegate.log.count == 4 else { XCTFail() return } XCTAssertEqual(delegate.log[0], delegate.log[2]) XCTAssertEqual(delegate.log[1], delegate.log[3]) #endif } func testNumericLiteralFollowedByText() { let program = """ text { 5 "foo" } """ let context = EvaluationContext(source: program, delegate: nil) XCTAssertNoThrow(try parse(program).evaluate(in: context)) #if canImport(CoreText) XCTAssertEqual(context.children.count, 4) #endif } func testNumericVariableFollowedByText() { let program = """ define apples 5 text { apples "foo" } """ let context = EvaluationContext(source: program, delegate: nil) XCTAssertNoThrow(try parse(program).evaluate(in: context)) #if canImport(CoreText) XCTAssertEqual(context.children.count, 4) #endif } func testUnbracedTextCoalesced() { let program = """ define apples 1 text apples "111" """ let context = EvaluationContext(source: program, delegate: nil) XCTAssertNoThrow(try parse(program).evaluate(in: context)) #if canImport(CoreText) let chars = context.children.compactMap { $0.value as? Geometry } XCTAssertEqual(chars.count, 4) XCTAssertEqual(chars.first?.bounds.min.y, chars.last?.bounds.min.y) #endif } func testFontOutsideText() { let program = """ text "a" font "Courier" text "a" """ let context = EvaluationContext(source: program, delegate: nil) XCTAssertNoThrow(try parse(program).evaluate(in: context)) #if canImport(CoreText) let chars = context.children.compactMap { $0.value as? Geometry } XCTAssertEqual(chars.count, 2) XCTAssertNotEqual(chars.first?.bounds.size, chars.last?.bounds.size) #endif } func testFontOutsideTextFunction() { let program = """ define aText { text "a" } aText font "Courier" aText """ let context = EvaluationContext(source: program, delegate: nil) XCTAssertNoThrow(try parse(program).evaluate(in: context)) #if canImport(CoreText) let chars = context.children.compactMap { $0.value as? Geometry } XCTAssertEqual(chars.count, 2) XCTAssertNotEqual(chars.first?.bounds.size, chars.last?.bounds.size) #endif } func testFontOutsideTextBlock() { let program = """ text { "a" } font "Courier" text { "a" } """ let context = EvaluationContext(source: program, delegate: nil) XCTAssertNoThrow(try parse(program).evaluate(in: context)) #if canImport(CoreText) let chars = context.children.compactMap { $0.value as? Geometry } XCTAssertEqual(chars.count, 2) XCTAssertNotEqual(chars.first?.bounds.size, chars.last?.bounds.size) #endif } func testFontOutsideTextBlockFunction() { let program = """ define aText { text { "a" } } aText font "Courier" aText """ let context = EvaluationContext(source: program, delegate: nil) XCTAssertNoThrow(try parse(program).evaluate(in: context)) #if canImport(CoreText) let chars = context.children.compactMap { $0.value as? Geometry } XCTAssertEqual(chars.count, 2) XCTAssertNotEqual(chars.first?.bounds.size, chars.last?.bounds.size) #endif } func testFontInsideTextBlock() { let program = """ text { "a" font "Courier" "a" } """ let context = EvaluationContext(source: program, delegate: nil) XCTAssertNoThrow(try parse(program).evaluate(in: context)) #if canImport(CoreText) let chars = context.children.compactMap { $0.value as? Geometry } XCTAssertEqual(chars.count, 2) XCTAssertNotEqual(chars.first?.bounds.size, chars.last?.bounds.size) #endif } // MARK: SVGPath command func testSVGPath() throws { let program = try parse("fill svgpath \"M150 0 L75 200 225 200 Z\"") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) guard case let .fill(paths) = geometry.type else { XCTFail() return } XCTAssertEqual(paths.first?.points.count, 4) } // MARK: Lights func testDefaultLight() throws { let program = try parse("light") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) let light = try XCTUnwrap(geometry.light) XCTAssertEqual(light.color, .white) XCTAssertFalse(light.hasPosition) XCTAssertFalse(light.hasOrientation) } func testAmbientLight() throws { let program = try parse("light { color yellow }") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) let light = try XCTUnwrap(geometry.light) XCTAssertEqual(light.color, .yellow) XCTAssertFalse(light.hasPosition) XCTAssertFalse(light.hasOrientation) } func testDirectionalLight() throws { let program = try parse(""" light { color yellow orientation 0.5 } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) guard case let .light(light) = geometry.type else { XCTFail() return } XCTAssertEqual(light.color, .yellow) XCTAssertFalse(light.hasPosition) XCTAssert(light.hasOrientation) XCTAssertEqual(geometry.transform, .init(rotation: .roll(.halfPi))) } func testPointLight() throws { let program = try parse(""" light { color yellow position 1 } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) let light = try XCTUnwrap(geometry.light) XCTAssertEqual(light.color, .yellow) XCTAssert(light.hasPosition) XCTAssertFalse(light.hasOrientation) XCTAssertEqual(geometry.transform, .init(offset: .init(1, 0, 0))) } func testSpotlight() throws { let program = try parse(""" light { color yellow position 1 orientation 0.5 } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) let light = try XCTUnwrap(geometry.light) XCTAssertEqual(light.color, .yellow) XCTAssert(light.hasPosition) XCTAssert(light.hasOrientation) XCTAssertEqual(geometry.transform, .init( offset: .init(1, 0, 0), rotation: .roll(.halfPi) )) } func testLightWithColour() throws { let program = try parse("light { colour yellow }") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) let light = try XCTUnwrap(geometry.light) XCTAssertEqual(light.color, .yellow) } // MARK: Debug command func testDebugCube() throws { let program = try parse("debug cube") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssert((context.children.first?.value as? Geometry)?.debug == true) } func testDebugText() throws { let program = try parse("debug extrude text \"M\"") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssert((context.children.first?.value as? Geometry)?.debug == true) } func testDebugColorCommand() throws { let program = "debug color #f00" let range = program.range(of: "color")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Type mismatch") XCTAssertEqual(error?.hint, "The argument for debug should be a mesh or block, not a color.") XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "debug", expected: "mesh or block", got: "color" ), at: range)) } } func testColorDebugColor() throws { let program = """ define r #f00 color debug r """ let range = program.range(of: "r", range: program.range(of: "debug r"))! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Type mismatch") XCTAssertEqual(error?.hint, "The argument for debug should be a mesh or block, not a color.") XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "debug", expected: "mesh or block", got: "color" ), at: range)) } } func testDebugMixedTuple() throws { let program = """ debug fill square 1 """ let range = program.range(of: "1")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Type mismatch") XCTAssertEqual(error?.hint, "The second argument for fill should be a path, not a number.") XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "fill", index: 1, expected: "path", got: "number" ), at: range)) } } // MARK: Empty arguments func testPrintNothing() { let program = "print" let range = program.endIndex ..< program.endIndex XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Missing argument") XCTAssertEqual(error?.hint, "The print command expects an argument.") XCTAssertEqual(error, RuntimeError( .missingArgument(for: "print", type: "any"), at: range )) } } func testPrintEmptyTuple() { let program = "print ()" XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testCallVoidCommandWithoutArgs() throws { let program = """ define foo { rnd } print foo """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testCallVoidCommandWithEmptyParens() throws { let program = """ define foo { rnd() } print foo """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testCallVoidCommandWithEmptyBlock() throws { let program = """ define foo { rnd {} } print foo """ let range = program.range(of: "{}")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unexpected argument") XCTAssertEqual(error?.hint, "The rnd function does not expect any arguments.") XCTAssertEqual(error, RuntimeError( .unexpectedArgument(for: "rnd", max: 0), at: range )) } } func testCallVoidFunctionWithoutArgs() throws { let program = """ define foo rnd print foo """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testCallVoidFunctionWithEmptyParens() throws { let program = """ define foo rnd() print foo """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testCallVoidFunctionWithEmptyParensInTuple() throws { let program = """ seed 1 print rnd() rnd() """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0.23645552527159452, 0.3692706737201661]) } func testCallVoidFunctionWithEmptyBlock() throws { let program = """ define foo rnd {} print foo """ let range = program.range(of: "{}")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unexpected argument") XCTAssertEqual(error?.hint, "The rnd function does not expect any arguments.") XCTAssertEqual(error, RuntimeError( .unexpectedArgument(for: "rnd", max: 0), at: range )) } } func testCallCustomFunctionWithoutArguments() { let program = """ define foo() { 2 + 3 } print foo """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [5]) } func testCallCustomFunctionWithEmptyArguments() { let program = """ define foo() { 2 + 3 } print foo() """ let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [5]) } func testCallCustomFunctionWithEmptyBlock() { let program = """ define foo() { 2 + 3 } print foo {} """ let range = program.range(of: "{}")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Unexpected argument") XCTAssertEqual(error?.hint, "The foo symbol does not expect any arguments.") XCTAssertEqual(error, RuntimeError( .unexpectedArgument(for: "foo", max: 0), at: range )) } } func testCallNonVoidCustomFunctionWithEmptyBlock() { let program = """ define foo(bar) { bar + 3 } print foo {} """ let range = program.range(of: "{}")! XCTAssertThrowsError(try evaluate(parse(program), delegate: nil)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.message, "Type mismatch") XCTAssertEqual(error?.hint, "The argument for foo should be a number or vector, not a block.") XCTAssertEqual(error, RuntimeError(.typeMismatch( for: "foo", expected: "number or vector", got: "block" ), at: range)) } } func testCallPropertyWithEmptyBlock() { let program = """ define foo cube print foo {} """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testCallBlockWithoutArgs() throws { let program = """ define foo { sphere } print foo """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testCallBlockWithEmptyParens() throws { let program = """ define foo { sphere } print foo() """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testCallStdlibBlockWithEmptyParens() throws { let program = "cube()" XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } func testCallBlockWithEmptyBlock() throws { let program = """ define foo { sphere } print foo {} """ XCTAssertNoThrow(try evaluate(parse(program), delegate: nil)) } } ShapeScript-1.6.14/ShapeScriptTests/LexerTests.swift000066400000000000000000000466031450355336000224750ustar00rootroot00000000000000// // LexerTests.swift // ShapeScriptTests // // Created by Nick Lockwood on 07/09/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // @testable import ShapeScript import XCTest class LexerTests: XCTestCase { // MARK: whitespace func testLeadingSpace() { let input = " abc" let tokens: [TokenType] = [.identifier("abc"), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testTrailingSpace() { let input = "abc " let tokens: [TokenType] = [.identifier("abc"), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testTrailingSpaceBeforeLinebreak() { let input = "abc \n" let tokens: [TokenType] = [.identifier("abc"), .linebreak, .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testTrailingSpaceAfterLinebreak() { let input = "abc\n " let tokens: [TokenType] = [.identifier("abc"), .linebreak, .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testMultipleTrailingLinebreaks() { let input = "abc \n \n " let tokens: [TokenType] = [.identifier("abc"), .linebreak, .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testCRLFTreatedAsSingleCharacter() { let input = "abc\r\n" let tokens: [TokenType] = [.identifier("abc"), .linebreak, .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } // MARK: comments func testSingleLineComment() { let input = "// abc" let tokens: [TokenType] = [.eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testConsecutiveSingleLineComments() { let input = "// abc\n// xyz" let tokens: [TokenType] = [.linebreak, .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testSingleLineCommentAfterDecimal() { let input = "5.// abc" let tokens: [TokenType] = [.number(5), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testSingleLineCommentAfterInfixOperator() { let input = "5 + // abc" let tokens: [TokenType] = [.number(5), .infix(.plus), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testBlockComment() { let input = "/* abc\nxyz */" let tokens: [TokenType] = [.eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testBlockCommentFollowedBySpace() { let input = "/* abc */ " let tokens: [TokenType] = [.eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testNestedBlockComments() { let input = "foo /* abc /* xyz */ */ bar" let tokens: [TokenType] = [.identifier("foo"), .identifier("bar"), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } // MARK: identifiers func testLetters() { let input = "abc dfe" let tokens: [TokenType] = [.identifier("abc"), .identifier("dfe"), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testLettersNumbersAndUnderscore() { let input = "a123_4b" let tokens: [TokenType] = [.identifier("a123_4b"), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testInvalidIdentifier() { let input = "a123$4b" XCTAssertThrowsError(try tokenize(input)) { error in XCTAssertEqual((error as? LexerError)?.type, .unexpectedToken("$4b")) } } func testLeadingUnderscore() { let input = "_a\n\ndefine foo 5" XCTAssertThrowsError(try tokenize(input)) { error in XCTAssertEqual((error as? LexerError)?.type, .unexpectedToken("_a")) } } func testInsertPhantomParensForDisambiguation() { let input = "-a (b)" let tokens: [TokenType] = [ .prefix(.minus), .lparen, .identifier("a"), .rparen, .lparen, .identifier("b"), .rparen, .eof, ] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testInsertPhantomParensForDisambiguation2() { let input = "a + b (c)" let tokens: [TokenType] = [ .identifier("a"), .infix(.plus), .lparen, .identifier("b"), .rparen, .lparen, .identifier("c"), .rparen, .eof, ] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } // MARK: numbers func testZero() { let input = "0" let tokens: [TokenType] = [.number(0), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testDigit() { let input = "5" let tokens: [TokenType] = [.number(5), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testMultidigit() { let input = "50" let tokens: [TokenType] = [.number(50), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testLeadingZero() { let input = "05" let tokens: [TokenType] = [.number(5), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testDecimal() { let input = "0.5" let tokens: [TokenType] = [.number(0.5), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testLeadingDecimalPoint() { let input = ".56" let tokens: [TokenType] = [.number(0.56), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testTrailingDecimalPoint() { let input = "56." let tokens: [TokenType] = [.number(56), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testNegativeInteger() { let input = "-56" let tokens: [TokenType] = [.prefix(.minus), .number(56), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testNegativeDecimal() { let input = "-5.6" let tokens: [TokenType] = [.prefix(.minus), .number(5.6), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testNegativeLeadingDecimalPoint() { let input = "-.56" let tokens: [TokenType] = [.prefix(.minus), .number(0.56), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testLeadingDecimalPointInParens() { let input = "(.56)" let tokens: [TokenType] = [.lparen, .number(0.56), .rparen, .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testTooManyDecimalPoints() { let input = "0.5.6" XCTAssertThrowsError(try tokenize(input)) { error in XCTAssertEqual((error as? LexerError)?.type, .invalidNumber("0.5.6")) } } // MARK: strings func testSimpleString() { let input = """ "foo" """ let tokens: [TokenType] = [.string("foo"), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testStringWithSpace() { let input = """ "foo bar" """ let tokens: [TokenType] = [.string("foo bar"), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testStringWithEscapedQuotes() { let input = """ "\\"foo\\"" """ let tokens: [TokenType] = [.string("\"foo\""), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testStringWithEscapedNewline() { let input = """ "foo\\nbar" """ let tokens: [TokenType] = [.string("foo\nbar"), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testStringEndingWithEscapedNewline() { let input = """ "foo\\n" """ let tokens: [TokenType] = [.string("foo\n"), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testStringWithMultipleEscapedNewlines() { let input = """ "foo\\n\\n\\nbar" """ let tokens: [TokenType] = [.string("foo\n\n\nbar"), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testStringWithInvalidEscapeSequence() { let input = """ "foo\\'bar" """ let range = input.range(of: "\\'")! XCTAssertThrowsError(try tokenize(input)) { error in let error = try? XCTUnwrap(error as? LexerError) XCTAssertEqual(error, LexerError(.invalidEscapeSequence("\\'"), at: range)) } } func testStringWithUnsupportedEscapeSequence() { let input = """ "foo\\rbar" """ let range = input.range(of: "\\r")! XCTAssertThrowsError(try tokenize(input)) { error in let error = try? XCTUnwrap(error as? LexerError) XCTAssertEqual(error?.suggestion, "\\n") XCTAssertEqual(error, LexerError(.invalidEscapeSequence("\\r"), at: range)) } } func testStringWithBasicStyleQuoteEscapeSequence() { let input = """ "foo""bar" """ let range = input.range(of: "\"\"")! XCTAssertThrowsError(try tokenize(input)) { error in let error = try? XCTUnwrap(error as? LexerError) XCTAssertEqual(error?.suggestion, "\\\"") XCTAssertEqual(error, LexerError(.invalidEscapeSequence("\"\""), at: range)) } } func testUnterminatedStringLiteral() { let input = """ "foo """ let range = input.range(of: "\"foo")! XCTAssertThrowsError(try tokenize(input)) { error in let error = try? XCTUnwrap(error as? LexerError) XCTAssertEqual(error, LexerError(.unterminatedString, at: range)) } } func testUnterminatedStringLiteralFollowedByLinebreak() { let input = """ "foo """ let range = input.range(of: "\"foo")! XCTAssertThrowsError(try tokenize(input)) { error in let error = try? XCTUnwrap(error as? LexerError) XCTAssertEqual(error, LexerError(.unterminatedString, at: range)) } } func testUnterminatedStringLiteralEndingInEscape() { let input = """ "foo\\ """ let range = input.range(of: "\"foo\\")! XCTAssertThrowsError(try tokenize(input)) { error in let error = try? XCTUnwrap(error as? LexerError) XCTAssertEqual(error, LexerError(.unterminatedString, at: range)) } } func testUnterminatedStringLiteralFollowedByEscapedLinebreak() { let input = """ "foo\\ """ let range = input.range(of: "\"foo\\")! XCTAssertThrowsError(try tokenize(input)) { error in let error = try? XCTUnwrap(error as? LexerError) XCTAssertEqual(error, LexerError(.unterminatedString, at: range)) } } // MARK: colors func test0DigitColor() { let input = "#" XCTAssertThrowsError(try tokenize(input)) { error in XCTAssertEqual((error as? LexerError)?.type, .unexpectedToken("#")) } } func test1DigitColor() { let input = "#A" XCTAssertThrowsError(try tokenize(input)) { error in XCTAssertEqual((error as? LexerError)?.type, .invalidColor("A")) } } func test2DigitColor() { let input = "#12" XCTAssertThrowsError(try tokenize(input)) { error in XCTAssertEqual((error as? LexerError)?.type, .invalidColor("12")) } } func test3DigitColor() { let input = "#abc" let tokens: [TokenType] = [.hexColor("abc"), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func test4DigitColor() { let input = "#123F" let tokens: [TokenType] = [.hexColor("123F"), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func test5DigitColor() { let input = "#12345" XCTAssertThrowsError(try tokenize(input)) { error in XCTAssertEqual((error as? LexerError)?.type, .invalidColor("12345")) } } func test6DigitColor() { let input = "#1A2B3C" let tokens: [TokenType] = [.hexColor("1A2B3C"), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func test7DigitColor() { let input = "#1A2B3C4" XCTAssertThrowsError(try tokenize(input)) { error in XCTAssertEqual((error as? LexerError)?.type, .invalidColor("1A2B3C4")) } } func test8DigitColor() { let input = "#1A2B3C4D" let tokens: [TokenType] = [.hexColor("1A2B3C4D"), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func test9DigitColor() { let input = "#1A2B3C4D5" XCTAssertThrowsError(try tokenize(input)) { error in XCTAssertEqual((error as? LexerError)?.type, .invalidColor("1A2B3C4D5")) } } func testInvalidColor() { let input = "#123Z" XCTAssertThrowsError(try tokenize(input)) { error in XCTAssertEqual((error as? LexerError)?.type, .invalidColor("123Z")) } } // MARK: operators func testPrefixExpression() { let input = "-1" let tokens: [TokenType] = [.prefix(.minus), .number(1), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testInfixExpressionWithoutSpaces() { let input = "1+2" let tokens: [TokenType] = [.number(1), .infix(.plus), .number(2), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testInfixExpressionWithSpaces() { let input = "1 + 2" let tokens: [TokenType] = [.number(1), .infix(.plus), .number(2), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testInfixThenPrefixExpressionWithoutSpaces() { let input = "1+-2" let tokens: [TokenType] = [.number(1), .infix(.plus), .prefix(.minus), .number(2), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testInfixThenPrefixExpressionWithSpaces() { let input = "1 + -2" let tokens: [TokenType] = [.number(1), .infix(.plus), .prefix(.minus), .number(2), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testTupleWithPrefixOperator() { let input = "1 -2" let tokens: [TokenType] = [.number(1), .prefix(.minus), .number(2), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testMisspelledEqualOperator() { let input = "print true == false" XCTAssertThrowsError(try tokenize(input)) { error in let error = try? XCTUnwrap(error as? LexerError) XCTAssertEqual(error?.suggestion, "=") XCTAssertEqual(error?.type, .unexpectedToken("==")) } } func testMisspelledUnequalOperator() { let input = "print true != false" XCTAssertThrowsError(try tokenize(input)) { error in let error = try? XCTUnwrap(error as? LexerError) XCTAssertEqual(error?.suggestion, "<>") XCTAssertEqual(error?.type, .unexpectedToken("!=")) } } func testMisspelledGTEOperator() { let input = "print 3 => 1" XCTAssertThrowsError(try tokenize(input)) { error in let error = try? XCTUnwrap(error as? LexerError) XCTAssertEqual(error?.suggestion, ">=") XCTAssertEqual(error?.type, .unexpectedToken("=>")) } } func testMisspelledAndOperator() { let input = "print true && false" XCTAssertThrowsError(try tokenize(input)) { error in let error = try? XCTUnwrap(error as? LexerError) XCTAssertEqual(error?.suggestion, "and") } } func testMisspelledOrOperator() { let input = "print true || false" XCTAssertThrowsError(try tokenize(input)) { error in let error = try? XCTUnwrap(error as? LexerError) XCTAssertEqual(error?.suggestion, "or") XCTAssertEqual(error?.type, .unexpectedToken("||")) } } func testMisspelledNotOperator() { let input = "print !(true || false)" XCTAssertThrowsError(try tokenize(input)) { error in let error = try? XCTUnwrap(error as? LexerError) XCTAssertEqual(error?.suggestion, "not") XCTAssertEqual(error?.type, .unexpectedToken("!")) } } // MARK: member access func testMemberLookupOnIdentifier() { let input = "a.x" let tokens: [TokenType] = [.identifier("a"), .dot, .identifier("x"), .eof] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testMemberLookupOnExpression() { let input = "(1 2 3).x" let tokens: [TokenType] = [ .lparen, .number(1), .number(2), .number(3), .rparen, .dot, .identifier("x"), .eof, ] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } func testMemberLookupWithLeadingSpace() { let input = "a .b" XCTAssertThrowsError(try tokenize(input)) { error in XCTAssertEqual((error as? LexerError)?.type, .unexpectedToken(".b")) } } func testMemberLookupWithTrailingSpace() { let input = "a. b" XCTAssertThrowsError(try tokenize(input)) { error in XCTAssertEqual((error as? LexerError)?.type, .unexpectedToken(".")) } } func testMemberLookupOnNumber() { let input = "5.a" let tokens: [TokenType] = [ .number(5), .dot, .identifier("a"), .eof, ] XCTAssertEqual(try tokenize(input).map { $0.type }, tokens) } // MARK: lineRange func testLineRangeOfIndexAtStartOfInput() { let input = "foo" let range = input.lineRange(at: input.startIndex) XCTAssertEqual(range, input.startIndex ..< input.endIndex) } func testLineRangeOfIndexAtEndOfInput() { let input = "foo" let range = input.lineRange(at: input.endIndex) XCTAssertEqual(range, input.startIndex ..< input.endIndex) } func testLineRangeOfIndexAtStartOfLine() { let input = "foo\nbar" let index = input.firstIndex(of: "b")! let range = input.lineRange(at: index) XCTAssertEqual(range, index ..< input.endIndex) } func testLineRangeOfIndexAtEndOfLine() { let input = "foo\nbar\nbaz" let index = input.lastIndex(of: "\n")! let range = input.lineRange(at: index) XCTAssertEqual(range, input.firstIndex(of: "b")! ..< index) } // MARK: lineAndColumn func testLineAndColumnAtStartOfInput() { let input = "foo" let lc = input.lineAndColumn(at: input.startIndex) XCTAssertEqual(lc.line, 1) XCTAssertEqual(lc.column, 1) } func testLineAndColumnAtEndOfLine() { let input = "foo\nbar\nbaz" let index = input.lastIndex(of: "\n")! let lc = input.lineAndColumn(at: index) XCTAssertEqual(lc.line, 2) XCTAssertEqual(lc.column, 4) } func testLineAndColumnAtCRLFEndOfLine() { let input = "foo\r\nbar\r\nbaz" let index = input.lastIndex(of: "\r\n")! let lc = input.lineAndColumn(at: index) XCTAssertEqual(lc.line, 2) XCTAssertEqual(lc.column, 4) } } ShapeScript-1.6.14/ShapeScriptTests/LoggingTests.swift000066400000000000000000000264451450355336000230060ustar00rootroot00000000000000// // LoggingTests.swift // ShapeScriptTests // // Created by Nick Lockwood on 17/08/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // @testable import Euclid @testable import ShapeScript import XCTest class LoggingTests: XCTestCase { // MARK: Non-loggable values func testLogNonLoggableValue() { let input = NSObject() XCTAssertEqual(String(logDescriptionFor: input), "\(input)") XCTAssertEqual(String(nestedLogDescriptionFor: input), "\(input)") } func testLogNullValue() { let input: Any = String?.none as Any XCTAssertEqual(String(logDescriptionFor: input), "nil") XCTAssertEqual(String(nestedLogDescriptionFor: input), "nil") } func testLogArrayContainingNullValues() { let input: [Any?] = [nil, "hello"] XCTAssertEqual(String(logDescriptionFor: input), "nil \"hello\"") XCTAssertEqual(String(nestedLogDescriptionFor: input), "(nil \"hello\")") } // MARK: Strings func testLogString() { let input = "foo bar" XCTAssertEqual(input.logDescription, input) XCTAssertEqual(input.nestedLogDescription, "\"foo bar\"") } func testLogStringContainingQuotesSlashesAndLinebreaks() { let input = "\"foo\nbar\\baz\"" XCTAssertEqual(input.logDescription, input) XCTAssertEqual(input.nestedLogDescription, "\"\\\"foo\\nbar\\\\baz\\\"\"") } // MARK: Numbers func testLogDouble() { let input = 4.5 XCTAssertEqual(input.logDescription, "4.5") XCTAssertEqual(input.nestedLogDescription, "4.5") } func testLogNegativeDouble() { let input = -4.5 XCTAssertEqual(input.logDescription, "-4.5") XCTAssertEqual(input.nestedLogDescription, "-4.5") } func testLogDoubleAsInt() { let input = 4.0 XCTAssertEqual(input.logDescription, "4") XCTAssertEqual(input.nestedLogDescription, "4") } func testLogLargeDoubleAsInt() { let input = 4000000000.0 XCTAssertEqual(input.logDescription, "4000000000") XCTAssertEqual(input.nestedLogDescription, "4000000000") } func testLogNegativeDoubleAsInt() { let input = -4.0 XCTAssertEqual(input.logDescription, "-4") XCTAssertEqual(input.nestedLogDescription, "-4") } func testLogVeryLargeDouble() { let input = 1.01e20 XCTAssertEqual(input.logDescription, "101000000000000000000") XCTAssertEqual(input.nestedLogDescription, "101000000000000000000") } func testLogSmallDouble() { let input = 0.0001 XCTAssertEqual(input.logDescription, "0.0001") XCTAssertEqual(input.nestedLogDescription, "0.0001") } func testLogVerySmallDouble() { let input = 0.00001 XCTAssertEqual(input.logDescription, "0") XCTAssertEqual(input.nestedLogDescription, "0") } func testLogVerySmallNegativeDouble() { let input = -0.00001 XCTAssertEqual(input.logDescription, "0") XCTAssertEqual(input.nestedLogDescription, "0") } func testLogVeryVerySmallDouble() { let input = 0.000000001 XCTAssertEqual(input.logDescription, "0") XCTAssertEqual(input.nestedLogDescription, "0") } func testLogVeryVerySmallNegativeDouble() { let input = -0.000000001 XCTAssertEqual(input.logDescription, "0") XCTAssertEqual(input.nestedLogDescription, "0") } func testLogVeryPreciseDouble() { let input = 0.10001 XCTAssertEqual(input.logDescription, "0.1") XCTAssertEqual(input.nestedLogDescription, "0.1") } func testLogLargeVeryPreciseDouble() { let input = 4000.12001 XCTAssertEqual(input.logDescription, "4000.12") XCTAssertEqual(input.nestedLogDescription, "4000.12") } func testLogInfinity() { let input = Double.infinity XCTAssertEqual(input.logDescription, "∞") XCTAssertEqual(input.nestedLogDescription, "∞") } func testLogNegativeInfinity() { let input = -Double.infinity XCTAssertEqual(input.logDescription, "-∞") XCTAssertEqual(input.nestedLogDescription, "-∞") } func testNegativeZero() { let input = -0.0 XCTAssertEqual(input.logDescription, "0") XCTAssertEqual(input.nestedLogDescription, "0") } func testLogNaN() { let input = Double.nan XCTAssertEqual(input.logDescription, "NaN") XCTAssertEqual(input.nestedLogDescription, "NaN") } // MARK: Vectors func testLogVector() { let input = Vector(1, 2, 3.5) XCTAssertEqual(input.logDescription, "1 2 3.5") XCTAssertEqual(input.nestedLogDescription, "(1 2 3.5)") } // MARK: Angles func testLogAngle() { let input = Angle.degrees(90) XCTAssertEqual(input.logDescription, "0.5") XCTAssertEqual(input.nestedLogDescription, "0.5") } // MARK: Rotations func testLogRotation() { let input = Rotation(roll: .degrees(90)) XCTAssertEqual(input.logDescription, "0.5 0 0") XCTAssertEqual(input.nestedLogDescription, "(0.5 0 0)") } // MARK: Colors func testOpaqueColor() { let input = Color(1, 0, 0, 1) XCTAssertEqual(input.logDescription, "1 0 0") XCTAssertEqual(input.nestedLogDescription, "(1 0 0)") } func testTranslucentColor() { let input = Color(1, 0, 0, 0.5) XCTAssertEqual(input.logDescription, "1 0 0 0.5") XCTAssertEqual(input.nestedLogDescription, "(1 0 0 0.5)") } func testMonochromeOpaqueColor() { let input = Color(1, 1, 1, 1) XCTAssertEqual(input.logDescription, "1 1 1") XCTAssertEqual(input.nestedLogDescription, "(1 1 1)") } func testMonochromeTranslucentColor() { let input = Color(0.5, 0.5, 0.5, 0.5) XCTAssertEqual(input.logDescription, "0.5 0.5 0.5 0.5") XCTAssertEqual(input.nestedLogDescription, "(0.5 0.5 0.5 0.5)") } // MARK: Textures func testTextureFile() { let input = Texture.file(name: "Foo", url: URL(fileURLWithPath: "/foo/bar")) XCTAssertEqual(input.logDescription, "/foo/bar") XCTAssertEqual(input.nestedLogDescription, "\"/foo/bar\"") } func testTextureData() { let input = Texture.data(Data()) XCTAssertEqual(input.logDescription, "texture { #data }") XCTAssertEqual(input.nestedLogDescription, "texture { #data }") } // MARK: MaterialProperties func testTextureFileMaterial() { let input = MaterialProperty .texture(.file(name: "Foo", url: URL(fileURLWithPath: "/foo/bar"))) XCTAssertEqual(input.logDescription, "/foo/bar") XCTAssertEqual(input.nestedLogDescription, "\"/foo/bar\"") } // MARK: Paths func testPath() { let input = Path.square() XCTAssertEqual(input.logDescription, "path { points 5 }") XCTAssertEqual(input.nestedLogDescription, "path") } func testSubpaths() { #if !os(Linux) // For some reason this test crashes on Linux let input = Path(subpaths: [.square(), .circle()]) XCTAssertEqual(input.logDescription, "path { subpaths 2 }") XCTAssertEqual(input.nestedLogDescription, "path") #endif } // MARK: Geometry func testDefaultCubeGeometry() { let context = EvaluationContext(source: "", delegate: nil) let input = Geometry(type: .cube, in: context) XCTAssertEqual(input.logDescription, "cube") XCTAssertEqual(input.nestedLogDescription, "cube") } func testCubeGeometry() { let context = EvaluationContext(source: "", delegate: nil) context.transform = Transform(scale: -.one) let input = Geometry(type: .cube, in: context) XCTAssertEqual(input.logDescription, "cube { size -1 }") XCTAssertEqual(input.nestedLogDescription, "cube") } func testCubeGeometry2() { let context = EvaluationContext(source: "", delegate: nil) context.transform = Transform(offset: Vector(1, 2), scale: -.one) let input = Geometry(type: .cube, in: context) XCTAssertEqual(input.logDescription, """ cube { size -1 position 1 2 0 } """) XCTAssertEqual(input.nestedLogDescription, "cube") } func testMeshGeometry() { let context = EvaluationContext(source: "", delegate: nil) let input = Geometry(type: .mesh(.init([ Polygon([ Vector(0, 0), Vector(1, 0), Vector(1, 1), ])!, ])), in: context) XCTAssertEqual(input.logDescription, "mesh { polygons 1 }") XCTAssertEqual(input.nestedLogDescription, "mesh") } func testMeshGeometry2() { let context = EvaluationContext(source: "", delegate: nil) context.name = "Mesh" let input = Geometry(type: .mesh(.init([ Polygon([ Vector(0, 0), Vector(1, 0), Vector(1, 1), ])!, ])), in: context) XCTAssertEqual(input.logDescription, """ mesh { name "Mesh" polygons 1 } """) XCTAssertEqual(input.nestedLogDescription, "mesh") } // MARK: Optionals func testNonNilOptional() { let input: String? = "foo" XCTAssertEqual(input.logDescription, "foo") XCTAssertEqual(input.nestedLogDescription, "\"foo\"") } func testNilOptional() { let input: String? = nil XCTAssertEqual(input.logDescription, "nil") XCTAssertEqual(input.nestedLogDescription, "nil") } // MARK: Arrays func testNumberArray() { let input = [1, 2, 3] XCTAssertEqual(input.logDescription, "1 2 3") XCTAssertEqual(input.nestedLogDescription, "(1 2 3)") } func testNestedNumberArray() { let input: [Any] = [1, [1, 2, 3], 4] XCTAssertEqual(input.logDescription, "1 (1 2 3) 4") XCTAssertEqual(input.nestedLogDescription, "(1 (1 2 3) 4)") } func testNestedStringArray() { let input: [Any] = ["foo", ["bar", "baz"]] XCTAssertEqual(input.logDescription, "\"foo\" (\"bar\" \"baz\")") XCTAssertEqual(input.nestedLogDescription, "(\"foo\" (\"bar\" \"baz\"))") } // MARK: Ranges func testIntRange() { let input = RangeValue(from: 1, to: 9) XCTAssertEqual(input.logDescription, "1 to 9") XCTAssertEqual(input.nestedLogDescription, "(1 to 9)") } func testFloatRange() { let input = RangeValue(from: 1.5, to: 2.5) XCTAssertEqual(input.logDescription, "1.5 to 2.5") XCTAssertEqual(input.nestedLogDescription, "(1.5 to 2.5)") } func testReverseRange() { let input = RangeValue(from: 4, to: 2) XCTAssertEqual(input.logDescription, "4 to 2") XCTAssertEqual(input.nestedLogDescription, "(4 to 2)") } func testRangeWithStep() { let input = RangeValue(from: 0, to: 5, step: 2) XCTAssertEqual(input.logDescription, "0 to 5 step 2") XCTAssertEqual(input.nestedLogDescription, "(0 to 5 step 2)") } func testRangeWithDefaultStep() { let input = RangeValue(from: 0, to: 5, step: 1) XCTAssertEqual(input.logDescription, "0 to 5") XCTAssertEqual(input.nestedLogDescription, "(0 to 5)") } } ShapeScript-1.6.14/ShapeScriptTests/MetadataTests.swift000066400000000000000000000626671450355336000231460ustar00rootroot00000000000000// // MetadataTests.swift // ShapeScriptTests // // Created by Nick Lockwood on 10/07/2021. // Copyright © 2018 Nick Lockwood. All rights reserved. // @testable import ShapeScript import XCTest private let projectDirectory: URL = testsDirectory.deletingLastPathComponent() private let changelogURL = projectDirectory .appendingPathComponent("CHANGELOG.md") private let whatsNewMacURL = projectDirectory .appendingPathComponent("Viewer/Mac/WhatsNew.rtf") private let whatsNewIOSURL = projectDirectory .appendingPathComponent("Viewer/iOS/WhatsNew.rtf") private let podspecURL: URL = projectDirectory .appendingPathComponent("ShapeScript.podspec.json") private let projectURL: URL = projectDirectory .appendingPathComponent("ShapeScript.xcodeproj") .appendingPathComponent("project.pbxproj") private let helpDirectory: URL = projectDirectory .appendingPathComponent("docs") private let helpSourceDirectory: URL = helpDirectory .appendingPathComponent("src") private let helpIndexURL: URL = helpSourceDirectory .appendingPathComponent("index.md") private let imagesDirectory: URL = helpDirectory .appendingPathComponent("images") private let examplesDirectory: URL = projectDirectory .appendingPathComponent("Examples") private let exampleURLs: [URL] = try! FileManager.default .contentsOfDirectory(atPath: examplesDirectory.path) .map { URL(fileURLWithPath: $0, relativeTo: examplesDirectory) } .filter { $0.pathExtension == "shape" } private let shapeScriptVersion: String = { let string = try! String(contentsOf: projectURL) let start = string.range(of: "MARKETING_VERSION = ")!.upperBound let end = string.range(of: ";", range: start ..< string.endIndex)!.lowerBound return String(string[start ..< end]) }() private let changelogTitles: [Substring] = { let changelog = try! String(contentsOf: changelogURL, encoding: .utf8) var range = changelog.startIndex ..< changelog.endIndex var matches = [Substring]() while let match = changelog.range( of: "## \\[[^]]+\\]\\([^)]+\\) \\([^)]+\\)", options: .regularExpression, range: range ) { matches.append(changelog[match]) range = match.upperBound ..< changelog.endIndex } return matches }() private func findHeadings(in string: String) -> [String] { string.components(separatedBy: "\n") .map { $0.trimmingCharacters(in: .whitespaces) } .filter { $0.hasPrefix("## ") } .map { String($0.dropFirst(3)) } } private let headerLinks: [(String, String)] = [ ("Getting Started", "getting-started.md"), ("Camera Control", "camera-control.md"), ] private let geometryLinks: [(String, String)] = [ ("Primitives", "primitives.md"), ("Options", "options.md"), ("Materials", "materials.md"), ("Transforms", "transforms.md"), ("Bounds", "bounds.md"), ("Meshes", "meshes.md"), ("Paths", "paths.md"), ("Text", "text.md"), ("Builders", "builders.md"), ("Constructive Solid Geometry", "csg.md"), ("Groups", "groups.md"), ("Lights", "lights.md"), ("Cameras", "cameras.md"), ] private let syntaxLinks: [(String, String)] = [ ("Comments", "comments.md"), ("Literals", "literals.md"), ("Symbols", "symbols.md"), ("Expressions", "expressions.md"), ("Functions", "functions.md"), ("Commands", "commands.md"), ("Control Flow", "control-flow.md"), ("Blocks", "blocks.md"), ("Scope", "scope.md"), ("Debugging", "debugging.md"), ("Import", "import.md"), ] private let footerLinks: [(String, String)] = [ ("Examples", "examples.md"), ("Glossary", "glossary.md"), ] private let versions: [String] = { let fm = FileManager.default var versions = Set([shapeScriptVersion]) let files = try! fm.contentsOfDirectory(atPath: helpDirectory.path) for file in files where file.hasPrefix("1.") { versions.insert(file) } return versions.sorted(by: { $0.localizedStandardCompare($1) == .orderedAscending }) }() private extension URL { func hasSuffix(_ suffix: String) -> Bool { deletingPathExtension().lastPathComponent.hasSuffix(suffix) } func appendingSuffix(_ suffix: String) -> URL { let name = deletingPathExtension().lastPathComponent return deletingPathExtension() .deletingLastPathComponent() .appendingPathComponent(name + suffix) .appendingPathExtension(pathExtension) } func deletingSuffix(_ suffix: String) -> URL { guard hasSuffix(suffix) else { return self } let name = deletingPathExtension().lastPathComponent return deletingPathExtension() .deletingLastPathComponent() .appendingPathComponent(String(name.dropLast(suffix.count))) .appendingPathExtension(pathExtension) } } private let urlRegex = try! NSRegularExpression(pattern: "\\]\\(([^\\)]*)\\)", options: []) class MetadataTests: XCTestCase { // MARK: Releases func testLatestVersionInChangelog() { let changelog = try! String(contentsOf: changelogURL, encoding: .utf8) XCTAssertTrue(changelog.contains("[\(shapeScriptVersion)]"), "CHANGELOG.md does not mention latest release") XCTAssertTrue( changelog.contains("(https://github.com/nicklockwood/ShapeScript/releases/tag/\(shapeScriptVersion))"), "CHANGELOG.md does not include correct link for latest release" ) } func testLatestVersionInPodspec() { let podspec = try! String(contentsOf: podspecURL, encoding: .utf8) XCTAssertTrue( podspec.contains("\"version\": \"\(shapeScriptVersion)\""), "Podspec version does not match latest release" ) XCTAssertTrue( podspec.contains("\"tag\": \"\(shapeScriptVersion)\""), "Podspec tag does not match latest release" ) } func testVersionConstantUpdated() { XCTAssertEqual(ShapeScript.version, shapeScriptVersion) } func testChangelogDatesAreAscending() throws { var lastDate: Date? let dateParser = DateFormatter() dateParser.timeZone = TimeZone(identifier: "UTC") dateParser.locale = Locale(identifier: "en_GB") dateParser.dateFormat = " (yyyy-MM-dd)" for title in changelogTitles { let dateRange = try XCTUnwrap(title.range(of: " \\([^)]+\\)$", options: .regularExpression)) let dateString = String(title[dateRange]) let date = try XCTUnwrap(dateParser.date(from: dateString)) if let lastDate = lastDate, date > lastDate { XCTFail("\(title) has newer date than subsequent version (\(date) vs \(lastDate))") return } lastDate = date } } func testUpdateWhatsNew() throws { let changelog = try! String(contentsOf: changelogURL, encoding: .utf8) var releases = [(version: String, date: String, notes: [String])]() var notes = [String]() for line in changelog.split(separator: "\n") { if line.hasPrefix("## [") { if !notes.isEmpty, !releases.isEmpty { releases[releases.count - 1].notes = notes notes.removeAll() } let versionStart = try XCTUnwrap(line.firstIndex(of: "[")) let versionEnd = try XCTUnwrap(line.firstIndex(of: "]")) let version = line[line.index(after: versionStart) ..< versionEnd] let dateStart = try XCTUnwrap(line.lastIndex(of: "(")) let dateEnd = try XCTUnwrap(line.lastIndex(of: ")")) let date = line[line.index(after: dateStart) ..< dateEnd] releases.append((String(version), String(date), [])) } else if line.hasPrefix("-") { notes.append(String(line[line.index(after: line.startIndex)...])) } } if !notes.isEmpty, !releases.isEmpty { releases[releases.count - 1].notes = notes notes.removeAll() } let macBody = releases.map { #""" \f1\b\fs28 \cf2 ShapeScript \#($0.version) \'97 \#($0.date)\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0\#($0.notes.map { #""" \'95 \f0\b0 \expnd0\expndtw0\kerning0 \#($0).\ \ """# }.joined()) """# }.joined(separator: "\n") let macWhatsNew = #""" {\rtf1\ansi\ansicpg1252\cocoartf2639 \cocoatextscaling0\cocoaplatform0{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;\f1\fnil\fcharset0 HelveticaNeue-Bold;} {\colortbl;\red255\green255\blue255;\red0\green0\blue0;} {\*\expandedcolortbl;;\cssrgb\c0\c0\c0\cname textColor;} \paperw11900\paperh16840\margl1440\margr1440\vieww24140\viewh18420\viewkind0 \deftab720 \pard\pardeftab720\qc\partightenfactor0 \f0\fs50 \cf2 \expnd0\expndtw0\kerning0 What's New in ShapeScript?\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \#(macBody) } """# try macWhatsNew.write(to: whatsNewMacURL, atomically: true, encoding: .utf8) let iosBody = releases.map { #""" \f0\b \cf2 ShapeScript \#($0.version) \'97 \#($0.date)\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0\#($0.notes.map { #""" \'95 \f1\b0 \expnd0\expndtw0\kerning0 \#($0).\ \ """# }.joined()) """# }.joined(separator: "\n") let iosWhatsNew = #""" {\rtf1\ansi\ansicpg1252\cocoartf2639 \cocoatextscaling0\cocoaplatform0{\fonttbl\f0\fnil\fcharset0 HelveticaNeue-Bold;\f1\fnil\fcharset0 HelveticaNeue;} {\colortbl;\red255\green255\blue255;\red0\green0\blue0;} {\*\expandedcolortbl;;\cssrgb\c0\c0\c0\cname textColor;} \paperw11900\paperh16840\margl1440\margr1440\vieww24140\viewh18420\viewkind0 \deftab720 \#(iosBody) } """# try iosWhatsNew.write(to: whatsNewIOSURL, atomically: true, encoding: .utf8) } // MARK: Help func testUpdateIndex() throws { func findSections(in string: String) -> [(String, String)] { findHeadings(in: string).compactMap { heading in let fragment = heading.lowercased() .replacingOccurrences(of: "'", with: "") .replacingOccurrences(of: " ", with: "-") XCTAssert(!fragment.contains(where: { !"abcdefghijklmnopqrstuvwxyz0123456789_-/".contains($0) })) return (heading, fragment) } } func buildLinks(_ links: [(String, String)], indent: Int) throws -> String { try links.map { heading, path in let file = helpSourceDirectory.appendingPathComponent(path) let text = try String(contentsOf: file) let indent = String(repeating: " ", count: indent * 4) let links = findSections(in: text).map { subheading, fragment in "\n\(indent) - [\(subheading)](\(path)#\(fragment))" }.joined() return "\(indent)- [\(heading)](\(path))" + links }.joined(separator: "\n") } let index = try """ ShapeScript Help --- \(buildLinks(headerLinks, indent: 0)) - Geometry \(buildLinks(geometryLinks, indent: 1)) - Syntax \(buildLinks(syntaxLinks, indent: 1)) \(buildLinks([("Export", "export.md")], indent: 0)) \(buildLinks(footerLinks, indent: 0)) """ let existing = try String(contentsOf: helpIndexURL) XCTAssertEqual(existing, index) try index.write(to: helpIndexURL, atomically: true, encoding: .utf8) } func testHelpFooterLinks() throws { let indexLinks = headerLinks + geometryLinks + syntaxLinks + [ ("Export", "export.md"), ] + footerLinks let urlRegex = try! NSRegularExpression(pattern: "Next: \\[([^\\]]+)\\]\\(([^\\)]*)\\)", options: []) for (i, (_, path)) in indexLinks.dropLast().enumerated() { let fileURL = helpSourceDirectory.appendingPathComponent(path) let text = try XCTUnwrap(String(contentsOf: fileURL)) let nsText = text as NSString let range = NSRange(location: 0, length: nsText.length) guard let match = urlRegex.firstMatch(in: text, options: [], range: range) else { XCTFail("No Next: link found in \(path)") continue } let next: (name: String, path: String) = indexLinks[i + 1] let name = nsText.substring(with: match.range(at: 1)) XCTAssertEqual(name, next.name, "Next link name in \(path) should be \(next.name)") let path = nsText.substring(with: match.range(at: 2)) XCTAssertEqual(path, next.path, "Next link url in \(path) should be \(next.path)") } } func testHelpLinks() throws { let fm = FileManager.default let enumerator = try XCTUnwrap(fm.enumerator(atPath: helpSourceDirectory.path)) var referencedImages = Set() for case let file as String in enumerator where file.hasSuffix(".md") { let fileURL = helpSourceDirectory.appendingPathComponent(file) let text = try XCTUnwrap(String(contentsOf: fileURL)) let nsText = text as NSString var range = NSRange(location: 0, length: nsText.length) for match in urlRegex.matches(in: text, options: [], range: range) { range = NSRange(location: match.range.upperBound, length: range.length - match.range.upperBound) var url = nsText.substring(with: match.range(at: 1)) .trimmingCharacters(in: .whitespaces) XCTAssertFalse(url.isEmpty, "Empty url reference in \(file)") var fragment = "" let parts = url.components(separatedBy: "#") guard !url.hasPrefix("http") else { continue } let isImage = url.hasSuffix(".png") if parts.count == 2 { url = parts[0] fragment = parts[1] if url.isEmpty { url = fileURL.path } } let absoluteURL = URL(fileURLWithPath: url, relativeTo: helpSourceDirectory) guard fm.fileExists(atPath: absoluteURL.path) else { XCTFail("\(url) referenced in \(file) does not exist") continue } if isImage { referencedImages.insert(absoluteURL.lastPathComponent) continue } guard !fragment.isEmpty else { continue } let text = try XCTUnwrap(String(contentsOf: absoluteURL)) let title = "## \(fragment.replacingOccurrences(of: "-", with: "[ -]"))" if text.range(of: title, options: [.regularExpression, .caseInsensitive]) == nil { if !url.hasSuffix(file) { XCTFail("anchor \(url)#\(fragment) referenced in \(file) does not exist") } else { XCTFail("anchor #\(fragment) referenced in \(file) does not exist") } } } } let obsoleteImages = ["subtext-ios.png"] let imagesEnumerator = try XCTUnwrap(fm.enumerator(atPath: imagesDirectory.path)) for case let file as String in imagesEnumerator where file.hasSuffix(".png") { let fileNames = [ file, file.replacingOccurrences( of: "-1\\.\\d\\.\\d\\.", with: ".", options: .regularExpression ), file.replacingOccurrences( of: "-ios(-1\\.\\d\\.\\d)?\\.", with: ".", options: .regularExpression ), ] if !referencedImages.contains(where: fileNames.contains) { if !obsoleteImages.contains(where: fileNames.contains) { XCTFail("Image \(file) not referenced in help") } } else if obsoleteImages.contains(where: fileNames.contains) { XCTFail("Obsolete image \(file) still referenced in help") } } } func testHelpMergeConflicts() throws { let fm = FileManager.default let enumerator = try XCTUnwrap(fm.enumerator(atPath: helpSourceDirectory.path)) for case let file as String in enumerator where file.hasSuffix(".md") { let fileURL = helpSourceDirectory.appendingPathComponent(file) let text = try XCTUnwrap(String(contentsOf: fileURL)) if text.range(of: "<<<<") ?? text.range(of: ">>>>") ?? text.range(of: "====") != nil { XCTFail("Merge conflict markers in \(file)") } } } func testExportMacHelp() throws { let fm = FileManager.default let outputDirectory = helpDirectory.appendingPathComponent("mac") try? fm.removeItem(at: outputDirectory) try fm.createDirectory(at: outputDirectory, withIntermediateDirectories: true) let enumerator = try XCTUnwrap(fm.enumerator(atPath: helpSourceDirectory.path)) for case let file as String in enumerator { let fileURL = helpSourceDirectory.appendingPathComponent(file) guard fileURL.pathExtension == "md", !fileURL.hasSuffix("-ios") else { enumerator.skipDescendants() continue } let outputURL = outputDirectory.appendingPathComponent(file) try fm.copyItem(at: fileURL, to: outputURL) } } func testExportIOSHelp() throws { let fm = FileManager.default let outputDirectory = helpDirectory.appendingPathComponent("ios") try? fm.removeItem(at: outputDirectory) try fm.createDirectory(at: outputDirectory, withIntermediateDirectories: true) let enumerator = try XCTUnwrap(fm.enumerator(atPath: helpSourceDirectory.path)) for case var file as String in enumerator { let fileURL = helpSourceDirectory.appendingPathComponent(file) guard fileURL.pathExtension == "md" else { enumerator.skipDescendants() continue } if fileURL.hasSuffix("-ios") { file = fileURL.deletingSuffix("-ios").lastPathComponent } else if fm.fileExists(atPath: fileURL.appendingSuffix("-ios").path) { continue } let text = try XCTUnwrap(String(contentsOf: fileURL)) let nsText = NSMutableString(string: text) var range = NSRange(location: 0, length: nsText.length) var urlRanges = [NSRange]() for match in urlRegex.matches(in: text, options: [], range: range) { range = NSRange(location: match.range.upperBound, length: range.length - match.range.upperBound) urlRanges.append(match.range(at: 1)) } for range in urlRanges.reversed() { guard var url = URL(string: nsText.substring(with: range)), url.host == nil else { continue } if url.pathExtension == "png" { let isMac = url.hasSuffix("-mac") if isMac { url = url.deletingSuffix("-mac") } if !url.hasSuffix("-ios") { let iosURL = url.appendingSuffix("-ios") let absoluteURL = URL(fileURLWithPath: iosURL.path, relativeTo: fileURL) if fm.fileExists(atPath: absoluteURL.path) { url = iosURL } } for version in versions.reversed() { let iosURL = url.appendingSuffix("-\(version)") let absoluteURL = URL(fileURLWithPath: iosURL.path, relativeTo: fileURL) if fm.fileExists(atPath: absoluteURL.path) { url = iosURL break } } nsText.replaceCharacters(in: range, with: url.absoluteString) } // Special case if url.lastPathComponent == "export.md", nsText .substring(to: range.location).hasSuffix("Next: [Export](") { nsText.replaceCharacters(in: range, with: "examples.md") } } let outputURL = outputDirectory.appendingPathComponent(file) try (nsText as String).write(to: outputURL, atomically: true, encoding: .utf8) if file != "export.md" { for key in ["View >", "macOS"] where nsText.contains(key) { XCTFail("Reference to '\(key)' in '\(file)'") } } } } func testExportVersionedHelp() throws { let fm = FileManager.default let outputDirectory = helpDirectory.appendingPathComponent(shapeScriptVersion) guard fm.fileExists(atPath: outputDirectory.path) else { XCTFail("Help directory for \(shapeScriptVersion) not found") return } let attrs = try fm.attributesOfItem(atPath: outputDirectory.path) if attrs[.type] as? FileAttributeType == .typeSymbolicLink { return } try? fm.removeItem(at: outputDirectory) for subdir in ["mac", "ios"] { let helpDir = helpDirectory.appendingPathComponent(subdir) let versionedDir = outputDirectory.appendingPathComponent(subdir) try fm.createDirectory(at: versionedDir, withIntermediateDirectories: true) let enumerator = try XCTUnwrap(fm.enumerator(atPath: helpDir.path)) for case let file as String in enumerator where file.hasSuffix(".md") { let fileURL = helpDir.appendingPathComponent(file) let text = try String(contentsOf: fileURL) let nsText = NSMutableString(string: text) var range = NSRange(location: 0, length: nsText.length) var urlRanges = [NSRange]() for match in urlRegex.matches(in: text, options: [], range: range) { range = NSRange(location: match.range.upperBound, length: range.length - match.range.upperBound) urlRanges.append(match.range(at: 1)) } for range in urlRanges.reversed() { guard let url = URL(string: nsText.substring(with: range)), url.host == nil, url.pathExtension == "png" else { continue } nsText.replaceCharacters(in: range, with: "../\(url.absoluteString)") } let outputURL = versionedDir.appendingPathComponent(file) try (nsText as String).write(to: outputURL, atomically: true, encoding: .utf8) } } } // MARK: Examples func testExamplesAllListedInHelp() throws { let examplesHelpURL = helpSourceDirectory.appendingPathComponent("examples.md") let examplesHelp = try String(contentsOf: examplesHelpURL) let exampleHeadings = findHeadings(in: examplesHelp) let exampleFileNames = exampleURLs.map { $0.deletingPathExtension().lastPathComponent } for name in exampleFileNames { XCTAssert(exampleHeadings.contains(name), "Example '\(name)' not listed in examples.md") } for name in exampleHeadings { XCTAssert(exampleFileNames.contains(name), "Example '\(name)' listed in examples.md does not exist") } } func testExamplesAllRunWithoutError() { class TestDelegate: EvaluationDelegate { func importGeometry(for _: URL) throws -> Geometry? { nil } func debugLog(_: [AnyHashable]) {} func resolveURL(for name: String) -> URL { examplesDirectory.appendingPathComponent(name) } } for file in exampleURLs { do { let input = try String(contentsOf: file, encoding: .utf8) let program = try parse(input) let delegate = TestDelegate() _ = try evaluate(program, delegate: delegate) } catch let error as LexerError { XCTFail("Error: \(error.message) in '\(file.lastPathComponent)'") } catch let error as ParserError { XCTFail("Error: \(error.message) in '\(file.lastPathComponent)'") } catch let error as RuntimeError { XCTFail("Error: \(error.message) in '\(file.lastPathComponent)'") } catch { XCTFail("Error: \(error) in '\(file.lastPathComponent)'") } } } } ShapeScript-1.6.14/ShapeScriptTests/ParserTests.swift000066400000000000000000001255671450355336000226610ustar00rootroot00000000000000// // ParserTests.swift // ShapeScriptTests // // Created by Nick Lockwood on 07/09/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // @testable import ShapeScript import XCTest class ParserTests: XCTestCase { // MARK: Operators func testLeftAssociativity() { let input = "print 1 - 2 + 3" let printRange = input.range(of: "print")! let range1 = input.range(of: "1")! let range2 = input.range(of: "2")! let range3 = input.range(of: "3")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .command( Identifier(name: "print", range: printRange), Expression( type: .infix( Expression( type: .infix( Expression(type: .number(1), range: range1), .minus, Expression(type: .number(2), range: range2) ), range: range1.lowerBound ..< range2.upperBound ), .plus, Expression(type: .number(3), range: range3) ), range: range1.lowerBound ..< range3.upperBound ) ), range: printRange.lowerBound ..< range3.upperBound ), ])) } func testOperatorPrecedence() { let input = "color 1 * 2 + 3" let colorRange = input.range(of: "color")! let range1 = input.range(of: "1")! let range2 = input.range(of: "2")! let range3 = input.range(of: "3")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .command( Identifier(name: "color", range: colorRange), Expression( type: .infix( Expression( type: .infix( Expression(type: .number(1), range: range1), .times, Expression(type: .number(2), range: range2) ), range: range1.lowerBound ..< range2.upperBound ), .plus, Expression(type: .number(3), range: range3) ), range: range1.lowerBound ..< range3.upperBound ) ), range: colorRange.lowerBound ..< range3.upperBound ), ])) } func testOperatorPrecedence2() { let input = "color 1 / 2 * 3" let colorRange = input.range(of: "color")! let range1 = input.range(of: "1")! let range2 = input.range(of: "2")! let range3 = input.range(of: "3")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .command( Identifier(name: "color", range: colorRange), Expression( type: .infix( Expression( type: .infix( Expression(type: .number(1), range: range1), .divide, Expression(type: .number(2), range: range2) ), range: range1.lowerBound ..< range2.upperBound ), .times, Expression(type: .number(3), range: range3) ), range: range1.lowerBound ..< range3.upperBound ) ), range: colorRange.lowerBound ..< range3.upperBound ), ])) } func testNotOperatorPrecedence() { let input = "not a = b" let notRange = input.range(of: "not")! let aRange = input.range(of: "a")! let bRange = input.range(of: "b")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .expression(Expression(type: .tuple([ Expression(type: .identifier("not"), range: notRange), Expression( type: .infix( Expression(type: .identifier("a"), range: aRange), .equal, Expression(type: .identifier("b"), range: bRange) ), range: aRange.lowerBound ..< input.endIndex ), ]), range: input.startIndex ..< input.endIndex)), range: input.startIndex ..< input.endIndex ), ])) } func testNotOperatorPrecedence2() { let input = "not a = not b" let notRange = input.range(of: "not")! let aRange = input.range(of: "a")! let notRange2 = input.range(of: "not", range: input.range(of: "not b")!)! let bRange = input.range(of: "b")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .expression(Expression(type: .tuple([ Expression(type: .identifier("not"), range: notRange), Expression( type: .infix( Expression(type: .identifier("a"), range: aRange), .equal, Expression(type: .tuple([ Expression(type: .identifier("not"), range: notRange2), Expression(type: .identifier("b"), range: bRange), ]), range: notRange2.lowerBound ..< bRange.upperBound) ), range: aRange.lowerBound ..< input.endIndex ), ]), range: input.startIndex ..< input.endIndex)), range: input.startIndex ..< input.endIndex ), ])) } func testPrintNot() { let input = "print not" let printRange = input.range(of: "print")! let notRange = input.range(of: "not")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .command( Identifier(name: "print", range: printRange), Expression(type: .identifier("not"), range: notRange) ), range: input.startIndex ..< input.endIndex ), ])) } func testUnterminatedInfixExpression() { let input = "define foo 1 +" let range = input.endIndex ..< input.endIndex XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected end of file") XCTAssertEqual(error?.hint, "Expected operand.") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .eof, range: range), expected: "operand" ))) } } func testInfixExpressionSplitOverTwoLines() { let input = """ define foo 1 + bar """ let range = input.range(of: "\n")! XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected end of line") XCTAssertEqual(error?.hint, "Expected operand.") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .linebreak, range: range), expected: "operand" ))) } } func testComparisonOperatorChaining() { let input = "print 1 < 2 < 3" let range = input.range(of: "<", range: input.range(of: "< 3")!)! XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected operator '<'") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .infix(.lt), range: range), expected: nil ))) } } func testEqualityOperatorChaining() { let input = "print 1 = 2 = 3" let range = input.range(of: "=", range: input.range(of: "= 3")!)! XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected operator '='") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .infix(.equal), range: range), expected: nil ))) } } func testCommandVsOperatorPrecedence() { let input = "print (a + b) * c" let printRange = input.range(of: "print")! let tupleRange = input.range(of: "(a + b)")! let aRange = input.range(of: "a")! let bRange = input.range(of: "b")! let cRange = input.range(of: "c")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .command( Identifier(name: "print", range: printRange), Expression(type: .infix( Expression(type: .tuple([ Expression(type: .infix( Expression(type: .identifier("a"), range: aRange), .plus, Expression(type: .identifier("b"), range: bRange) ), range: aRange.lowerBound ..< bRange.upperBound), ]), range: tupleRange), .times, Expression(type: .identifier("c"), range: cRange) ), range: tupleRange.lowerBound ..< input.endIndex) ), range: input.startIndex ..< input.endIndex ), ])) } func testCommandVsOperatorPrecedence2() { let input = "print (a + b) c" let printRange = input.range(of: "print")! let tupleRange = input.range(of: "(a + b)")! let aRange = input.range(of: "a")! let bRange = input.range(of: "b")! let cRange = input.range(of: "c")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .command( Identifier(name: "print", range: printRange), Expression(type: .tuple([ Expression(type: .tuple([ Expression(type: .infix( Expression(type: .identifier("a"), range: aRange), .plus, Expression(type: .identifier("b"), range: bRange) ), range: aRange.lowerBound ..< bRange.upperBound), ]), range: tupleRange), Expression(type: .identifier("c"), range: cRange), ]), range: tupleRange.lowerBound ..< input.endIndex) ), range: input.startIndex ..< input.endIndex ), ])) } func testCommandVsOperatorPrecedence3() { let input = "point (a + b) c" let pointRange = input.range(of: "point")! let tupleRange = input.range(of: "(a + b)")! let aRange = input.range(of: "a")! let bRange = input.range(of: "b")! let cRange = input.range(of: "c")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .command( Identifier(name: "point", range: pointRange), Expression(type: .tuple([ Expression(type: .tuple([ Expression(type: .infix( Expression(type: .identifier("a"), range: aRange), .plus, Expression(type: .identifier("b"), range: bRange) ), range: aRange.lowerBound ..< bRange.upperBound), ]), range: tupleRange), Expression(type: .identifier("c"), range: cRange), ]), range: tupleRange.lowerBound ..< input.endIndex) ), range: input.startIndex ..< input.endIndex ), ])) } func testFunctionVsOperatorPrecedence() { let input = "floor(a + b) * c" let floorRange = input.range(of: "floor")! let tupleRange = input.range(of: "(a + b)")! let aRange = input.range(of: "a")! let bRange = input.range(of: "b")! let cRange = input.range(of: "c")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .expression(Expression(type: .infix( Expression(type: .tuple([ Expression(type: .identifier("floor"), range: floorRange), Expression(type: .infix( Expression(type: .identifier("a"), range: aRange), .plus, Expression(type: .identifier("b"), range: bRange) ), range: aRange.lowerBound ..< bRange.upperBound), ]), range: floorRange.lowerBound ..< tupleRange.upperBound), .times, Expression(type: .identifier("c"), range: cRange) ), range: input.startIndex ..< input.endIndex)), range: input.startIndex ..< input.endIndex ), ])) } // NOTE: this should be treated as a command, but because of parsing // limitations gets interpreted as a tuple and must be disambiguated later func testLengthOptionTreatedAsTupleExpression() { let input = "foo { length 40 }" let fooRange = input.range(of: "foo")! let lengthRange = input.range(of: "length")! let numberRange = input.range(of: "40")! let bodyRange = input.range(of: "{ length 40 }")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement(type: .expression( Expression( type: .block( Identifier(name: "foo", range: fooRange), Block(statements: [ Statement( type: .expression(Expression( type: .tuple([ Expression(type: .identifier("length"), range: lengthRange), Expression(type: .number(40), range: numberRange), ]), range: lengthRange.lowerBound ..< numberRange.upperBound )), range: lengthRange.lowerBound ..< numberRange.upperBound ), ], range: bodyRange) ), range: fooRange.lowerBound ..< bodyRange.upperBound ) ), range: fooRange.lowerBound ..< bodyRange.upperBound), ])) } // MARK: Parentheses func testMultilineParentheses() { let input = """ define matrix ( (1 2 3) (4 5 6) (7 8 9) ) """ XCTAssertNoThrow(try parse(input)) } func testEmptyTuple() { let input = "define void ()" XCTAssertNoThrow(try parse(input)) } func testEmptyCommandArguments() { let input = "foo()" let fooRange = input.range(of: "foo")! let parensRange = input.range(of: "()")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement(type: .command( Identifier(name: "foo", range: fooRange), Expression(type: .tuple([]), range: parensRange) ), range: fooRange.lowerBound ..< parensRange.upperBound), ])) } func testEmptyFunctionArguments() { let input = "print bar()" let printRange = input.range(of: "print")! let barRange = input.range(of: "bar")! let parensRange = input.range(of: "()")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement(type: .command( Identifier(name: "print", range: printRange), Expression(type: .tuple([ Expression(type: .identifier("bar"), range: barRange), ]), range: barRange.lowerBound ..< parensRange.upperBound) ), range: printRange.lowerBound ..< parensRange.upperBound), ])) } func testUnterminatedParenthesis() { let input = "define foo (1 2 3" let range = input.endIndex ..< input.endIndex XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected end of file") XCTAssertEqual(error?.hint, "Expected closing paren.") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .eof, range: range), expected: "closing paren" ))) } } func testUnterminatedParenthesisFollowedByForOnSameLine() { let input = "define foo ( for 1 to 10 {}" let range = input.range(of: "for")! XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected keyword 'for'") XCTAssertEqual(error?.hint, "Expected expression.") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .keyword(.for), range: range), expected: "expression" ))) } } func testUnterminatedParenthesisFollowedByForOnNextLine() { let input = """ define foo (1 2 3 for i in foo {} """ let range = input.range(of: "for")! XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected keyword 'for'") XCTAssertEqual(error?.hint, "Expected closing paren.") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .keyword(.for), range: range), expected: "closing paren" ))) } } func testUnterminatedMultilineParenthesisFollowedByForOnNextLine() { let input = """ define foo ( 1 2 3 4 5 6 for i in foo {} """ let range = input.range(of: "for")! XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected keyword 'for'") XCTAssertEqual(error?.hint, "Expected closing paren.") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .keyword(.for), range: range), expected: "closing paren" ))) } } func testUnterminatedMultilineParenthesisFollowedByBlock() { let input = """ define foo ( 1 2 3 4 5 6 cube { size 1 } """ let range = input.endIndex ..< input.endIndex XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected end of file") XCTAssertEqual(error?.hint, "Expected closing paren.") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .eof, range: range), expected: "closing paren" ))) } } // MARK: Ranges func testRange() { let input = "define foo 1 to 2" let defineRange = input.range(of: "define")! let fooRange = input.range(of: "foo")! let range1 = input.range(of: "1")! let range2 = input.range(of: "2")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .define( Identifier(name: "foo", range: fooRange), Definition(type: .expression(Expression( type: .infix( Expression(type: .number(1), range: range1), .to, Expression(type: .number(2), range: range2) ), range: range1.lowerBound ..< range2.upperBound ))) ), range: defineRange.lowerBound ..< range2.upperBound ), ])) } func testRangeWithStep() { let input = "define foo 1 to 5 step 2" let defineRange = input.range(of: "define")! let fooRange = input.range(of: "foo")! let range1 = input.range(of: "1")! let range2 = input.range(of: "5")! let range3 = input.range(of: "2")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .define( Identifier(name: "foo", range: fooRange), Definition(type: .expression(Expression( type: .infix( Expression( type: .infix( Expression(type: .number(1), range: range1), .to, Expression(type: .number(5), range: range2) ), range: range1.lowerBound ..< range2.upperBound ), .step, Expression(type: .number(2), range: range3) ), range: range1.lowerBound ..< range3.upperBound ))) ), range: defineRange.lowerBound ..< range3.upperBound ), ])) } func testRangeWithMissingUpperBound() { let input = "define foo 1 to" XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected end of file") XCTAssertEqual(error?.hint, "Expected end value.") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .eof, range: input.endIndex ..< input.endIndex), expected: "end value" ))) } } func testRangeWithMultipleStepValues() { let input = "define range 1 to 5 step 1 step 2" let range = input.range(of: "step", range: input.range(of: "step 2")!)! XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected token 'step'") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .identifier("step"), range: range), expected: nil ))) } } // MARK: Expression statement func testLiteralExpressionStatement() { let input = "1 + 2" let range1 = input.range(of: "1")! let range2 = input.range(of: "2")! let range = range1.lowerBound ..< range2.upperBound XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement(type: .expression(Expression(type: .infix( Expression(type: .number(1), range: range1), .plus, Expression(type: .number(2), range: range2) ), range: range)), range: range), ])) } func testIdentifierExpressionStatement() { let input = "foo + 2" let range1 = input.range(of: "foo")! let range2 = input.range(of: "2")! let range = range1.lowerBound ..< range2.upperBound XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement(type: .expression(Expression(type: .infix( Expression(type: .identifier("foo"), range: range1), .plus, Expression(type: .number(2), range: range2) ), range: range)), range: range), ])) } func testRangeExpressionStatement() { let input = "foo to 2" let range1 = input.range(of: "foo")! let range2 = input.range(of: "2")! let range = range1.lowerBound ..< range2.upperBound XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement(type: .expression(Expression(type: .infix( Expression(type: .identifier("foo"), range: range1), .to, Expression(type: .number(2), range: range2) ), range: range)), range: range), ])) } func testStepExpressionStatement() { let input = "foo step 2" let range1 = input.range(of: "foo")! let range2 = input.range(of: "2")! let range = range1.lowerBound ..< range2.upperBound XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement(type: .expression(Expression(type: .infix( Expression(type: .identifier("foo"), range: range1), .step, Expression(type: .number(2), range: range2) ), range: range)), range: range), ])) } func testNonStepExpressionStatement() { let input = "foo step" let range1 = input.range(of: "foo")! let range2 = input.range(of: "step")! let range = range1.lowerBound ..< range2.upperBound XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement(type: .command( Identifier(name: "foo", range: range1), Expression(type: .identifier("step"), range: range2) ), range: range), ])) } func testAndExpressionStatement() { let input = "foo and true" let range1 = input.range(of: "foo")! let range2 = input.range(of: "true")! let range = range1.lowerBound ..< range2.upperBound XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement(type: .expression(Expression(type: .infix( Expression(type: .identifier("foo"), range: range1), .and, Expression(type: .identifier("true"), range: range2) ), range: range)), range: range), ])) } // MARK: For loops func testForLoopWithIndex() { let input = "for i in 1 to 2 {}" let forRange = input.range(of: "for")! let iRange = input.range(of: "i")! let range1 = input.range(of: "1")! let range2 = input.range(of: "2")! let blockRange = input.range(of: "{}")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .forloop( Identifier(name: "i", range: iRange), in: Expression( type: .infix( Expression(type: .number(1), range: range1), .to, Expression(type: .number(2), range: range2) ), range: range1.lowerBound ..< range2.upperBound ), Block(statements: [], range: blockRange) ), range: forRange.lowerBound ..< blockRange.upperBound ), ])) } func testForLoopWithoutIndex() { let input = "for 1 to 2 {}" let forRange = input.range(of: "for")! let range1 = input.range(of: "1")! let range2 = input.range(of: "2")! let blockRange = input.range(of: "{}")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .forloop( nil, in: Expression( type: .infix( Expression(type: .number(1), range: range1), .to, Expression(type: .number(2), range: range2) ), range: range1.lowerBound ..< range2.upperBound ), Block(statements: [], range: blockRange) ), range: forRange.lowerBound ..< blockRange.upperBound ), ])) } func testForLoopWithoutCondition() { let input = "for i in {}" let braceRange = input.range(of: "{")! XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected opening brace") XCTAssertEqual(error?.hint, "Expected range.") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .lbrace, range: braceRange), expected: "range" ))) } } func testForLoopWithInvalidIndex() { let input = "for 5 in {}" let inRange = input.range(of: "in")! XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected token 'in'") XCTAssertEqual(error?.hint, "Expected loop body.") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .identifier("in"), range: inRange), expected: "loop body" ))) } } func testForLoopWithoutIndexOrCondition() { let input = "for {}" let braceRange = input.range(of: "{")! XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected opening brace") XCTAssertEqual(error?.hint, "Expected index or range.") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .lbrace, range: braceRange), expected: "index or range" ))) } } func testForLoopWithTupleWithoutParens() { let input = "for i in 3 1 4 1 5 { print i }" let range = input.range(of: "1")! XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected numeric literal") XCTAssertEqual(error?.hint, "Expected loop body.") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .number(1), range: range), expected: "loop body" ))) } } func testForLoopWithMissingClosingBrace() { let input = "for 1 to 10 {" let range = input.endIndex ..< input.endIndex XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected end of file") XCTAssertEqual(error?.hint, "Expected closing brace.") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .eof, range: range), expected: "closing brace" ))) } } func testForLoopWithBlockExpression() { let input = "for i in cube { size 2 } { print i }" let range = input.range(of: "{", range: input.range(of: "{ print")!)! XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected opening brace") XCTAssertNil(error?.hint) XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .lbrace, range: range), expected: nil ))) } } // MARK: If/else func testIfStatement() { let input = "if foo {}" let ifRange = input.range(of: "if")! let fooRange = input.range(of: "foo")! let bodyRange = input.range(of: "{}")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .ifelse( Expression(type: .identifier("foo"), range: fooRange), Block(statements: [], range: bodyRange), else: nil ), range: ifRange.lowerBound ..< bodyRange.upperBound ), ])) } func testIfFollowedByAnotherIf() { let input = """ if foo {} if bar { } """ let ifRange = input.range(of: "if")! let fooRange = input.range(of: "foo")! let bodyRange = input.range(of: "{}")! let if2Range = input.range(of: "if", range: input.range(of: "if bar")!)! let barRange = input.range(of: "bar")! let body2Range = input.range(of: "{ }")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .ifelse( Expression(type: .identifier("foo"), range: fooRange), Block(statements: [], range: bodyRange), else: nil ), range: ifRange.lowerBound ..< bodyRange.upperBound ), Statement( type: .ifelse( Expression(type: .identifier("bar"), range: barRange), Block(statements: [], range: body2Range), else: nil ), range: if2Range.lowerBound ..< body2Range.upperBound ), ])) } func testIfElseStatement() { let input = "if foo {} else { }" let ifRange = input.range(of: "if")! let fooRange = input.range(of: "foo")! let bodyRange = input.range(of: "{}")! let elseBodyRange = input.range(of: "{ }")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .ifelse( Expression(type: .identifier("foo"), range: fooRange), Block(statements: [], range: bodyRange), else: Block(statements: [], range: elseBodyRange) ), range: ifRange.lowerBound ..< elseBodyRange.upperBound ), ])) } func testIfElseIfStatement() { let input = "if foo {} else if bar { }" let ifRange = input.range(of: "if")! let fooRange = input.range(of: "foo")! let bodyRange = input.range(of: "{}")! let elseBodyRange = input.range(of: "if bar { }")! let if2Range = input.range(of: "if", range: elseBodyRange)! let barRange = input.range(of: "bar")! let body2Range = input.range(of: "{ }")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .ifelse( Expression(type: .identifier("foo"), range: fooRange), Block(statements: [], range: bodyRange), else: Block(statements: [ Statement( type: .ifelse( Expression(type: .identifier("bar"), range: barRange), Block(statements: [], range: body2Range), else: nil ), range: if2Range.lowerBound ..< body2Range.upperBound ), ], range: elseBodyRange) ), range: ifRange.lowerBound ..< body2Range.upperBound ), ])) } func testIfWithElseOnNewLine() { let input = """ if foo {} else { } """ let ifRange = input.range(of: "if")! let fooRange = input.range(of: "foo")! let bodyRange = input.range(of: "{}")! let elseBodyRange = input.range(of: "{ }")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .ifelse( Expression(type: .identifier("foo"), range: fooRange), Block(statements: [], range: bodyRange), else: Block(statements: [], range: elseBodyRange) ), range: ifRange.lowerBound ..< elseBodyRange.upperBound ), ])) } func testIfStatementWithoutCondition() { let input = "if {}" let braceRange = input.range(of: "{")! XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected opening brace") XCTAssertEqual(error?.hint, "Expected condition.") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .lbrace, range: braceRange), expected: "condition" ))) } } func testIfStatementWithoutElse() { let input = "if foo {} {}" let braceRange = input.range(of: "{", range: input.range(of: "} {")!)! XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected opening brace") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .lbrace, range: braceRange), expected: nil ))) } } func testIfWithMisspelledElse() { let input = "if foo {} els {}" XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected token 'els'") XCTAssertEqual(error?.hint, "Did you mean 'else'?") } } func testIfStatementWithMisspelledOrOperator() { let input = "if foo nor bar {}" let norRange = input.range(of: "nor")! XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected token 'nor'") XCTAssertEqual(error?.hint, "Did you mean 'or'?") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .identifier("nor"), range: norRange), expected: "if body" ))) } } func testIfStatementWithMisspelledAndOperator() { let input = "if foo AND bar {}" let norRange = input.range(of: "AND")! XCTAssertThrowsError(try parse(input)) { error in let error = try? XCTUnwrap(error as? ParserError) XCTAssertEqual(error?.message, "Unexpected token 'AND'") XCTAssertEqual(error?.hint, "Did you mean 'and'?") XCTAssertEqual(error, ParserError(.unexpectedToken( Token(type: .identifier("AND"), range: norRange), expected: "if body" ))) } } // MARK: Blocks func testTupleInBlock() { let input = "text { 1 2 }" let textRange = input.range(of: "text")! let tupleRange = input.range(of: "1 2")! let range1 = input.range(of: "1")! let range2 = input.range(of: "2")! let bodyRange = input.range(of: "{ 1 2 }")! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement(type: .expression( Expression( type: .block( Identifier(name: "text", range: textRange), Block(statements: [ Statement(type: .expression( Expression(type: .tuple([ Expression(type: .number(1), range: range1), Expression(type: .number(2), range: range2), ]), range: tupleRange) ), range: tupleRange), ], range: bodyRange) ), range: textRange.lowerBound ..< bodyRange.upperBound ) ), range: textRange.lowerBound ..< bodyRange.upperBound), ])) } // MARK: Functions func testFunctionDeclaration() { let input = "define foo(a b) { a + b }" let defineRange = input.range(of: "define")! let fooRange = input.range(of: "foo")! let aRange1 = input.range(of: "a")! let bRange1 = input.range(of: "b")! let bodyRange = input.range(of: "{ a + b }")! let sumRange = input.range(of: "a + b")! let aRange2 = input.range(of: "a", range: bodyRange)! let bRange2 = input.range(of: "b", range: bodyRange)! XCTAssertEqual(try parse(input), Program(source: input, statements: [ Statement( type: .define( Identifier(name: "foo", range: fooRange), Definition(type: .function([ Identifier(name: "a", range: aRange1), Identifier(name: "b", range: bRange1), ], Block( statements: [ Statement(type: .expression( Expression(type: .infix( Expression(type: .identifier("a"), range: aRange2), .plus, Expression(type: .identifier("b"), range: bRange2) ), range: sumRange) ), range: sumRange), ], range: bodyRange ))) ), range: defineRange.lowerBound ..< bodyRange.upperBound ), ])) } // MARK: Comments func testBlockCommentDoesntMessUpLineCalculation() { let input = """ /* a comment */ if foo AND bar { print foo } """ XCTAssertThrowsError(try parse(input)) { error in guard let error = try? XCTUnwrap(error as? ParserError), let range = error.range?.lowerBound else { return } XCTAssertEqual(error.message, "Unexpected token 'AND'") XCTAssertEqual(input.line(at: range), 4) } } } ShapeScript-1.6.14/ShapeScriptTests/PlatformTests.swift000066400000000000000000000012241450355336000231700ustar00rootroot00000000000000// // PlatformTests.swift // ShapeScriptTests // // Created by Nick Lockwood on 07/05/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // @testable import ShapeScript import XCTest #if canImport(UIKit) || canImport(AppKit) class PlatformTests: XCTestCase { // MARK: Texture conversion func testTextureToImage() throws { let file = testsDirectory.appendingPathComponent("Stars1.jpg") let input = try XCTUnwrap(OSImage(contentsOfFile: file.path)) let texture = try XCTUnwrap(Texture(input)) let output = try XCTUnwrap(OSImage(texture)) XCTAssertEqual(input.size, output.size) } } #endif ShapeScript-1.6.14/ShapeScriptTests/RegressionTests.swift000066400000000000000000000030231450355336000235230ustar00rootroot00000000000000// // RegressionTests.swift // ShapeScriptTests // // Created by Nick Lockwood on 27/07/2023. // Copyright © 2023 Nick Lockwood. All rights reserved. // @testable import ShapeScript import XCTest private let projectDirectory: URL = testsDirectory.deletingLastPathComponent() private let exampleURLs: [URL] = try! FileManager.default .contentsOfDirectory( at: projectDirectory.appendingPathComponent("Examples"), includingPropertiesForKeys: nil ) .filter { $0.pathExtension == "shape" } private let testShapesURLs: [URL] = try! FileManager.default .contentsOfDirectory( at: testsDirectory.appendingPathComponent("TestShapes"), includingPropertiesForKeys: nil ) .filter { $0.pathExtension == "shape" } final class RegressionTests: XCTestCase { func testExamples() throws { XCTAssertFalse(exampleURLs.isEmpty) XCTAssertFalse(testShapesURLs.isEmpty) for url in exampleURLs + testShapesURLs { let name = url.lastPathComponent let input = try String(contentsOf: url) let program = try parse(input) let delegate = TestDelegate(directory: url.deletingLastPathComponent()) let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context), "\(name) errored") let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) XCTAssert(geometry.isWatertight, "\(name) was not watertight") } } } ShapeScript-1.6.14/ShapeScriptTests/StandardLibraryTests.swift000066400000000000000000000734751450355336000245120ustar00rootroot00000000000000// // StandardLibraryTests.swift // ShapeScriptTests // // Created by Nick Lockwood on 13/04/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // @testable import Euclid @testable import ShapeScript import XCTest class StandardLibraryTests: XCTestCase { // MARK: Color func testColorInRoot() throws { let program = try parse(""" color 1 0 0 sphere """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testColorInGroup() throws { let program = try parse(""" group { color 1 0 0 sphere } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testColorInBuilder() throws { let program = try parse(""" extrude { color 1 0 0 square } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testColorInShape() throws { let program = try parse("cube { color 1 0 0 }") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testColorInPathShape() throws { let program = try parse("circle { color 1 0 0 }") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testColorInPath() throws { let program = try parse(""" path { color red point 0 1 color blue point 0 -1 } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testColorInNestedPath() throws { let program = try parse(""" path { path { color red } } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testColorInSVGPath() throws { let program = try parse(""" svgpath { color red "M150 0 L75 200 225 200 Z" } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testColorInText() throws { let program = try parse(""" text { color 1 0 0 "Hello" } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testColorInBlock() throws { let program = try parse(""" define foo { color 1 0 0 cone } foo """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) XCTAssertEqual(geometry.material.color, .red) } func testColorInBlockCall() throws { let program = try parse(""" define foo { cone } foo { color 1 0 0 } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) XCTAssertEqual(geometry.material.color, .red) } // MARK: Texture func testTextureInRoot() throws { let program = try parse(""" texture "Stars1.jpg" sphere """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) } func testTextureInGroup() throws { let program = try parse(""" group { texture "Stars1.jpg" sphere } """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) } func testTextureInBuilder() throws { let program = try parse(""" extrude { texture "Stars1.jpg" square } """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) } func testTextureInShape() throws { let program = try parse(""" cube { texture "Stars1.jpg" } """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) } func testTextureInPathShape() throws { let program = try parse(""" circle { texture "Stars1.jpg" } """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("texture", _)? = error?.type else { XCTFail() return } } } func testTextureInPath() throws { let program = try parse(""" path { texture "Stars1.jpg" point 0 1 point 0 -1 } """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("texture", _)? = error?.type else { XCTFail() return } } } func testTextureInNestedPath() throws { let program = try parse(""" path { path { texture "Stars1.jpg" } } """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("texture", _)? = error?.type else { XCTFail() return } } } func testTextureInSVGPath() throws { let program = try parse(""" svgpath { texture "Stars1.jpg" "M150 0 L75 200 225 200 Z" } """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("texture", _)? = error?.type else { XCTFail() return } } } func testTextureInText() throws { let program = try parse(""" text { texture "Stars1.jpg" "Hello" } """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("texture", _)? = error?.type else { XCTFail() return } } } func testTextureInBlock() throws { let program = try parse(""" define foo { texture "Stars1.jpg" cone } foo """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) } func testTextureInBlockCall() throws { let program = try parse(""" define foo { cone } foo { texture "Stars1.jpg" } """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) } func testEmptyTexture() throws { let program = try parse(""" print texture texture "" print texture """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(delegate.log, ["", ""]) } // MARK: Detail func testDetailInRoot() throws { let program = try parse(""" detail 8 sphere """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testDetailInGroup() throws { let program = try parse(""" group { detail 8 sphere } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testDetailInBuilder() throws { let program = try parse(""" extrude { detail 8 square } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testDetailInShape() throws { let program = try parse("cube { detail 8 }") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testDetailInPathShape() throws { let program = try parse("circle { detail 8 }") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testDetailInPath() throws { let program = try parse(""" path { detail 8 point 0 1 point 0 -1 } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testDetailInNestedPath() throws { let program = try parse(""" path { path { detail 8 } } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testDetailInSVGPath() throws { let program = try parse(""" svgpath { detail 4 "M150 0 L75 200 225 200 Z" } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testDetailInText() throws { let program = try parse(""" text { detail 4 "Hello" } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testDetailInBlock() throws { let program = try parse(""" define foo { detail 8 cone } foo """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testDetailInBlockCall() throws { let program = try parse(""" define foo { cone } foo { detail 8 } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } // MARK: Smoothing func testSmoothingInRoot() throws { let program = try parse(""" smoothing 0 sphere """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testSmoothingInGroup() throws { let program = try parse(""" group { smoothing 0 sphere } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testSmoothingInBuilder() throws { let program = try parse(""" extrude { smoothing 0.5 circle } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testSmoothingInShape() throws { let program = try parse("cube { smoothing 0 }") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testSmoothingInPathShape() throws { let program = try parse("circle { smoothing 0 }") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("smoothing", _)? = error?.type else { XCTFail() return } } } func testSmoothingInPath() throws { let program = try parse(""" path { smoothing 8 point 0 1 point 0 -1 } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("smoothing", _)? = error?.type else { XCTFail() return } } } func testSmoothingInNestedPath() throws { let program = try parse(""" path { path { smoothing 0 } } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("smoothing", _)? = error?.type else { XCTFail() return } } } func testSmoothingInSVGPath() throws { let program = try parse(""" svgpath { smoothing 0 "M150 0 L75 200 225 200 Z" } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("smoothing", _)? = error?.type else { XCTFail() return } } } func testSmoothingInText() throws { let program = try parse(""" text { smoothing 0 "Hello" } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("smoothing", _)? = error?.type else { XCTFail() return } } } func testSmoothingInBlock() throws { let program = try parse(""" define foo { smoothing 0 cone } foo """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testSmoothingInBlockCall() throws { let program = try parse(""" define foo { cone } foo { smoothing 0 } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } // MARK: Font func testFontInRoot() throws { let program = try parse(""" font "Helvetica" text "Hello" """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testFontInGroup() throws { let program = try parse(""" group { font "Helvetica" text "Hello" } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testFontInBuilder() throws { let program = try parse(""" extrude { font "Helvetica" text "Hello" } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testFontInShape() throws { let program = try parse(""" cube { font "Helvetica" } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("font", _)? = error?.type else { XCTFail() return } } } func testFontInPathShape() throws { let program = try parse(""" circle { font "Helvetica" } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("font", _)? = error?.type else { XCTFail() return } } } func testFontInPath() throws { let program = try parse(""" path { font "Helvetica" text "Hello" } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testFontInNestedPath() throws { let program = try parse(""" path { path { font "Helvetica" text "Hello" } } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testFontInSVGPath() throws { let program = try parse(""" svgpath { font "Helvetica" "M150 0 L75 200 225 200 Z" } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case .unknownSymbol("font", _)? = error?.type else { XCTFail() return } } } func testMissingMoveInSVGPath() throws { let program = try parse(""" svgpath { "M 80 80 A 45 45, 0, 0, 0, 125 125 L 125 80 Z" "A 45 45, 0, 1, 0, 275 125 L 275 80 Z" } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testFontInText() throws { let program = try parse(""" text { font "Helvetica" "Hello" } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) } func testFontInBlock() throws { let program = try parse(""" define foo { font "Times" print font } foo """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(delegate.log, ["Times"]) } func testFontInBlockCallScope() throws { let program = try parse(""" define foo { print font } group { font "Times" foo } """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(delegate.log, ["Times"]) } func testFontInBlockCall() throws { let program = try parse(""" define foo { print font } foo { font "Times" } """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(delegate.log, ["Times"]) } // MARK: Strings func testSplit() throws { let program = try parse(""" define foo "hello world" define bar split foo " " print bar.first """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(delegate.log, ["hello"]) } func testSplit2() throws { let program = try parse(""" define foo split "hello world" " " print foo.second """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(delegate.log, ["world"]) } func testJoin() throws { let program = try parse(""" define foo "hello" "world" print join foo ", " """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(delegate.log, ["hello, world"]) } func testTrim() throws { let program = try parse(""" define foo " hello world\\n" print trim foo """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(delegate.log, ["hello world"]) } // MARK: Polygons func testPrintPolygonPath() throws { let program = try parse(""" print polygon { sides 4 } """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(delegate.log, [Path.polygon(sides: 4)]) } func testPrintPolygonFace() throws { let program = try parse(""" print polygon { point 0 point 1 0 point 1 1 } """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertNotNil(delegate.log.first as? Euclid.Polygon) } func testPrintDefaultPolygon() throws { let program = try parse(""" print polygon """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(delegate.log, [Path.polygon(sides: 5)]) } func testPolygonWithoutArguments() throws { let program = try parse("polygon") let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssert(context.children.first?.value is Geometry) } func testPrintAmbiguousPolygon() throws { let program = try parse(""" print polygon { sides 2 point 0 } """) let context = EvaluationContext(source: program.source, delegate: nil) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) guard case let .assertionFailure(message)? = error?.type else { XCTFail() return } XCTAssert(message.contains("points") && message.contains("sides")) } } func testDefinePolygonPath() throws { let program = try parse(""" define foo polygon { sides 4 } print foo """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(delegate.log, [Path.polygon(sides: 4)]) } func testDefinePolygonFace() throws { let program = try parse(""" define foo polygon { point 0 point 1 0 point 1 1 } print foo """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertNotNil(delegate.log.first as? Euclid.Polygon) } func testPolygonPathPosition() throws { let program = try parse(""" print polygon { position 1 0 0 sides 4 } """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertEqual(delegate.log, [Path.polygon(sides: 4).translated(by: Vector(1, 0, 0))]) } func testPolygonFacePosition() throws { let program = try parse(""" print polygon { position 1 0 0 point 0 point 1 0 point 1 1 } """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertNotNil(delegate.log.first as? Euclid.Polygon) } func testPolygonFacePointTransform() throws { let program = try parse(""" print polygon { point 0 point 1 0 translate 1 1 point 0 } """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssertNotNil(delegate.log.first as? Euclid.Polygon) } // MARK: Hulls func testPathInHull() throws { let program = try parse(""" hull { square } """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) XCTAssert(context.children.first?.value is Geometry) } func testMultiplePathsInHull() throws { let program = try parse(""" hull { square rotate 0 0.5 square } """) let delegate = TestDelegate() let context = EvaluationContext(source: program.source, delegate: delegate) XCTAssertNoThrow(try program.evaluate(in: context)) let geometry = try XCTUnwrap(context.children.first?.value as? Geometry) _ = geometry.build { true } XCTAssertEqual(geometry.mesh?.bounds, Mesh.cube().bounds) } // MARK: Functions func testDot() { let program = "print dot((1 0) (0 1))" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0.0]) } func testCross() { let program = "print cross((1 0) (0 1))" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0.0, 0.0, 1.0]) } func testLength() { let program = "print length(3 4)" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [5.0]) } func testLengthZero() { let program = "print length(0 0 0)" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0.0]) } func testNormalize() { let program = "print normalize(3 4)" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0.6, 0.8]) } func testNormalizeZero() { let program = "print normalize(0 0 0 0)" let delegate = TestDelegate() XCTAssertNoThrow(try evaluate(parse(program), delegate: delegate)) XCTAssertEqual(delegate.log, [0.0, 0.0, 0.0, 0.0]) } } ShapeScript-1.6.14/ShapeScriptTests/Stars1.jpg000066400000000000000000001750271450355336000211770ustar00rootroot00000000000000JFIFExifII*V^(ifHH02100100ICC_PROFILElcmsmntrRGB XYZ  acspMSFTsawsctrl-hand=@=@t," desc_cprt wtptrXYZ,gXYZ@bXYZTrTRCh`gTRCh`bTRCh`descuRGBtextCC0XYZ TXYZ o8XYZ bXYZ $curv*|uN  bj. C$)j.~39?FWM6Tv\dluV~,6۾ewC    $.' ",#(7),01444'9=82<.342C  2!!22222222222222222222222222222222222222222222222222 7S&P""*0$DDDDDDDDDDD h@L"""!! 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WALLTHICKNESS * 2) difference { lathe path { point 0 HEIGHT point (RADIUSTOP / 2 + THICKNESS) HEIGHT point (RADIUSBOTTOM / 2 + THICKNESS) 0 point 0 0 } cube { size (RADIUSTOP + THICKNESS * 2 + WALLTHICKNESS) (HEIGHT - DEPTH) (RADIUSTOP + THICKNESS * 2 + WALLTHICKNESS) position 0 ((HEIGHT + DIAMETER) - ((HEIGHT - DEPTH) / 2)) } cone { orientation 1 size (RADIUSTOP + THICKNESS * 2 + WALLTHICKNESS * 2) (THICKNESS * 2) position 0 (HEIGHT / 2 + THICKNESS / 2) } } ShapeScript-1.6.14/ShapeScriptTests/TestShapes/CracksTest4.shape000066400000000000000000000021431450355336000245430ustar00rootroot00000000000000// ShapeScript document detail 190 define RADIUSBOTTOM 94 define RADIUSTOP 104.8 define HEIGHT 64 define DEPTH (HEIGHT / 2) define THICKNESS (RADIUSBOTTOM / 10) define WALLTHICKNESS 1 define DIAMETER (THICKNESS * (pi / 2) - WALLTHICKNESS * 2) difference { union { lathe path { point 0 (HEIGHT - WALLTHICKNESS) point (RADIUSTOP / 2 + WALLTHICKNESS / 1.67) (HEIGHT - WALLTHICKNESS) point (RADIUSBOTTOM / 2 + WALLTHICKNESS / 1.67) WALLTHICKNESS + (DIAMETER / 2) point 0 WALLTHICKNESS + (DIAMETER / 2) } /// Put angle into the inner chamber to prevent final layers from sagging cone { orientation 1 size (RADIUSTOP + THICKNESS * 2 + WALLTHICKNESS * 2) (THICKNESS * 2) position 0 (HEIGHT / 2 + THICKNESS / 2 - WALLTHICKNESS) } } /// Cut off the top cube { size (RADIUSTOP + THICKNESS * 3) (HEIGHT - DEPTH) (RADIUSTOP + THICKNESS * 3) position 0 ((HEIGHT + DIAMETER) - ((HEIGHT - DEPTH) / 2) - WALLTHICKNESS) } } ShapeScript-1.6.14/ShapeScriptTests/TestShapes/Extrusions.shape000066400000000000000000000040561450355336000246010ustar00rootroot00000000000000//// ShapeScript document detail 64 define spring { option coils 2 // number of coils option spacing 0.3 // spacing between coils option radius 0.5 // radius of coil define steps detail path { detail 0 translate 0 -spacing * coils / 2 for i in 0 to steps * coils { rotate 0 1/steps 0 translate radius curve 0 translate -radius rotate 0 1/steps 0 translate 0 spacing/steps } } } define foo path { orientation 0.1 0.2 0.5 curve 0 1 curve -1 0 0.75 curve 0 -1 0.25 curve 1 0 1 curve 1 1 1 curve 0 1 } define foo2 path { orientation 0 0 0.5 curve 0 1 0.75 curve -1 0 curve 0 -1 0.25 curve 1 0 curve 1 1 curve 0 1 0.75 } extrude { orientation 0 position 0 1.5 // polygon { // sides 3 // size 0.1 // } square { orientation 0//-0.25 size 0.1 } along spring { orientation 0 coils 5 } } extrude { square { // orientation 0.3 size 0.1 } along foo } extrude { position 0 1 square { // orientation 0.3 size 0.1 } along foo2 // twist 2 axisAligned false } define bar path { point 0 0 curve 0 0 1 curve 0 1 1 curve 1 1 1 point 1 1 2 } extrude { // square { size 0.1 } // polygon { // sides 3 // size 0.1 // } text { orientation -0.5 "Hello" size 0.1 } along bar } define foo path { // point 0 0 point 0.5 0 point 0.5 1 point -0.5 1 point -0.5 0 point 0.5 0 // point 0.5 0 // point 0 0 } extrude { square { size 0.1 // orientation 0.25 } // polygon { // orientation 1 // sides 3 // size 0.1 // } along polygon { sides 6 orientation 0 0.25 } // along foo // twist 0.9 } extrude { square { size 0.1 } along square // twist 2 } cube { size 0.1 position -0.5 0 0.1 } ShapeScript-1.6.14/ShapeScriptTests/TestShapes/Lofts.shape000066400000000000000000000024051450355336000235010ustar00rootroot00000000000000// ShapeScript document detail 32 smoothing 0 loft { polygon { sides 11 } translate 0 0 1 polygon { sides 8 } translate 0 0 1 rotate 0.4 path { point -1 -1 point 1 -1 point 1 1 point -1 1 point -1 -1 } translate 0 0 1 rotate 0.4 path { point -1 -1 point 1 -1 point 1 1 point -1 1 point -1 -1 } } translate 3 loft { square rotate 0.5 translate 0 0 1 path { point -1 -1 point 1 -1 point 1 1 point -1 1 } translate 0 0 1 square } translate 3 loft { rotate 0 -0.1 detail 10 circle translate 0 0 1 rotate 0.4 detail 3 circle } translate -6 3 loft { circle translate 0 0 1 square } translate 3 define star { option sides 5 option closed true path { for 1 to sides { point 0 -0.5 rotate 1 / sides point 0 -1 rotate 1 / sides } if closed { point 0 -0.5 } } } loft { star { sides 8 closed true } translate 0 0 1 star { sides 6 closed true } } translate 3 extrude { circle { size 0.1 } along text "A" } ShapeScript-1.6.14/ShapeScriptTests/TypesystemTests.swift000066400000000000000000000637011450355336000236020ustar00rootroot00000000000000// // TypesystemTests.swift // ShapeScriptTests // // Created by Nick Lockwood on 19/05/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // @testable import ShapeScript import XCTest private func expressionType(_ source: String) throws -> ValueType { let program = try parse(source) let context = EvaluationContext(source: "", delegate: nil) do { try program.evaluate(in: context) } catch let error as RuntimeError { switch error.type { case .fileNotFound, .unusedValue: break default: throw error } } return try program.statements.last?.staticType(in: context) ?? .void } private func functionType(_ definition: String) throws -> FunctionType { let program = try parse(definition) let context = EvaluationContext(source: "", delegate: nil) try program.evaluate(in: context) guard case let .define(identifier, _) = program.statements.last?.type, case let .function(functionType, _) = context.symbol(for: identifier.name) else { XCTFail() return (.any, .any) } return functionType } private func functionType(for name: String, in definition: String) throws -> FunctionType { let program = try parse(definition) let context = EvaluationContext(source: "", delegate: nil) try program.evaluate(in: context) guard case let .function(functionType, _) = context.symbol(for: name) else { XCTFail() return (.any, .any) } return functionType } private func evaluate(_ source: String, as type: ValueType) throws -> Value { var lines = source.split(separator: "\n") lines[lines.count - 1] = "define foo_ \(lines[lines.count - 1])" let source = lines.joined(separator: "\n") let program = try parse(source) guard case let .define(_, definition) = program.statements.last?.type, case let .expression(expression) = definition.type else { XCTFail() return .void } let delegate = TestDelegate() let context = EvaluationContext(source: source, delegate: delegate) try program.evaluate(in: context) return try expression.evaluate(as: type, for: "", in: context) } class TypesystemTests: XCTestCase { // MARK: Static type func testNumericLiteralType() throws { XCTAssertEqual(try expressionType("5"), .number) } func testArithmeticExpressionType() { XCTAssertEqual(try expressionType("1 + 2"), .number) } func testArithmeticExpressionType2() { XCTAssertEqual(try expressionType("(1 + 2) * 3"), .number) } func testArithmeticExpressionType3() { XCTAssertEqual(try expressionType("\"1\" + 2"), .number) } func testVectorExpressionType() { XCTAssertEqual(try expressionType("(1 2) * 3"), .list(.number)) } func testVectorExpressionType2() { XCTAssertEqual(try expressionType("2 + (3 4)"), .list(.number)) } func testVectorExpressionType3() { XCTAssertEqual(try expressionType("(\"1\" \"2\") * 3"), .list(.number)) } func testBooleanLiteral() { XCTAssertEqual(try expressionType("true"), .boolean) } func testBooleanExpression() { XCTAssertEqual(try expressionType("1 < 2"), .boolean) } func testStringLiteralType() { XCTAssertEqual(try expressionType("\"foo\""), .string) } func testNumericTupleExpressionType() throws { XCTAssertEqual(try expressionType("1 5"), .list(.number)) } func testNumericTupleExpressionType2() throws { XCTAssertEqual(try expressionType("(pi 5)"), .list(.number)) } func testNumericTupleExpressionType3() throws { XCTAssertEqual(try expressionType("(1 5)"), .list(.number)) } func testMixedTupleExpressionType() throws { XCTAssertEqual(try expressionType("1 red"), .list(.any)) } func testBlockExpressionType() { XCTAssertEqual(try expressionType("cube"), .mesh) } func testBlockExpressionType2() { XCTAssertEqual(try expressionType("cube { size 1 }"), .mesh) } func testBlockExpressionType3() { XCTAssertEqual(try expressionType("square"), .path) } func testFunctionExpressionType() { XCTAssertEqual(try expressionType("rnd"), .number) } func testFunctionExpressionType2() { XCTAssertEqual(try expressionType("(cos pi)"), .number) } func testFunctionExpressionType3() { XCTAssertEqual(try expressionType("cos(pi)"), .number) } func testCustomBlockReturnType() { XCTAssertEqual(try expressionType(""" define foo { 5 } foo """), .number) } func testCustomBlockExpressionReturnType() { XCTAssertEqual(try expressionType(""" define foo { 5 + 1 } foo """), .number) } func testCustomBlockDefineReturnType() { XCTAssertEqual(try expressionType(""" define foo { define bar "hello" bar } foo """), .string) } func testCustomBlockOptionReturnType() { XCTAssertEqual(try expressionType(""" define foo { option bar "hello" bar } foo { bar "goodbye" } """), .string) } func testCustomBlockCallReturnType() { XCTAssertEqual(try expressionType(""" define foo { define bar "hello" bar } define bar { define baz foo() "dog" baz } bar """), .list(.string)) } func testCustomBlockConditionalReturnType() { XCTAssertEqual(try expressionType(""" define foo { option bar true if bar { "Hello" } else { 55 } } foo { bar true } """), .union([.string, .number])) } func testCustomBlockLoopReturnType() { XCTAssertEqual(try expressionType(""" define foo { option count 1 for i in 1 to count { i } } foo { count 5 } """), .list(.number)) } func testCustomBlockRecursiveReturnType() { XCTAssertEqual(try expressionType(""" define foo { option count 1 if count > 0 { count foo { count count - 1 } } } foo { count 5 } """), .list(.any)) // TODO: .list(.number) } func testCustomFunctionReturnType() { XCTAssertEqual(try expressionType(""" define foo() { 5 + 1 } foo """), .number) } func testCustomFunctionReturnType2() { XCTAssertEqual(try expressionType(""" define foo(bar) { bar + 1 } foo(1) """), .number) } func testCustomFunctionReturnType3() { XCTAssertEqual(try expressionType(""" define foo(bar baz) { bar < baz } (foo 1 2) """), .boolean) } func testPropertySetterReturnsVoid() { XCTAssertEqual(try expressionType(""" define foo() { color red } foo() """), .void) } func testColorPropertyMemberType() { XCTAssertEqual(try expressionType("color.red"), .number) } func testBlockMemberType() { XCTAssertEqual(try expressionType("cube.bounds"), .bounds) } func testCustomConstantMemberType() { XCTAssertEqual(try expressionType(""" define foo red foo.green """), .number) } func testCustomBlockResultMemberType() { XCTAssertEqual(try expressionType(""" define foo { cube } foo.bounds """), .bounds) } func testCustomFunctionResultMemberType() { XCTAssertEqual(try expressionType(""" define foo() { red } foo.blue """), .number) } func testEmptyTupleCountType() { XCTAssertEqual(try expressionType(""" define foo () foo.count """), .number) } func testUnionMemberType() { XCTAssertEqual(try expressionType(""" define foo () { if rnd > 0.5 { (1 2 1) } else { "#f00" } } foo.blue """), .number) } func testPolygonsMemberType() { XCTAssertEqual(try expressionType(""" cube.polygons """), .list(.polygon)) } func testPolygonPointsMemberType() { XCTAssertEqual(try expressionType(""" cube.polygons.first.points """), .list(.point)) } func testPointColorMemberType() { XCTAssertEqual(try expressionType(""" (square { color red }).points.first.color """), .optional(.color)) } func testPointColorMemberType2() { XCTAssertEqual(try expressionType(""" square.points.first.color """), .optional(.color)) } func testImportShapeType() { XCTAssertEqual(try expressionType(""" import "foo.shape" """), .any) } func testImportModelType() { XCTAssertEqual(try expressionType(""" import "foo.obj" """), .mesh) } func testImportModelType2() { XCTAssertEqual(try expressionType(""" define foo { import "foo.obj" } foo """), .mesh) } func testImportTextType() { XCTAssertEqual(try expressionType(""" import "foo.txt" """), .string) } func testImportJSONType() { XCTAssertEqual(try expressionType(""" import "foo.json" """), .any) } // MARK: Function parameter inference func testInferSimpleFunctionParameter() throws { let type = try functionType("define foo(bar) { bar + 1 }") XCTAssertEqual(type.parameterType, .tuple([.numberOrVector])) XCTAssertEqual(type.returnType, .number) } func testInferSimpleFunctionParameters() throws { let type = try functionType("define foo(bar baz) { bar + baz }") XCTAssertEqual(type.parameterType, .tuple([.numberOrVector, .numberOrVector])) XCTAssertEqual(type.returnType, .number) } func testInferFunctionParameterInBlock() throws { let type = try functionType(""" define foo(bar) { cube { color bar } } """) XCTAssertEqual(type.parameterType, .tuple([.color])) XCTAssertEqual(type.returnType, .mesh) } func testInferFunctionParameterUsedInImport() throws { let type = try functionType(""" define foo(bar) { import bar } """) XCTAssertEqual(type.parameterType, .tuple([.string])) XCTAssertEqual(type.returnType, .any) } func testComplexNestedFunctionParameters() throws { let type = try functionType(""" define foo(bar) { bar + 1 } define bar(baz quux) { foo(baz) + 1 print quux } """) XCTAssertEqual(type.parameterType, .tuple([.numberOrVector, .list(.any)])) XCTAssertEqual(type.returnType, .number) } func testConditionalFunctionParameter() throws { let type = try functionType(""" define foo(bar) { if bar { "hello" } } """) XCTAssertEqual(type.parameterType, .tuple([.boolean])) XCTAssertEqual(type.returnType, .union([.string, .void])) } func testConditionalFunctionParameter2() throws { let type = try functionType(""" define foo(bar) { if bar < 3 { "hello" } } """) XCTAssertEqual(type.parameterType, .tuple([.number])) XCTAssertEqual(type.returnType, .union([.string, .void])) } func testConditionalFunctionParameters() throws { let type = try functionType(""" define foo(bar baz) { if bar = baz { bar + 1 } else { print baz } } """) XCTAssertEqual(type.parameterType, .tuple([.numberOrVector, .list(.any)])) XCTAssertEqual(type.returnType, .union([.number, .void])) } func testConditionalFunctionParameters2() throws { let type = try functionType(""" define foo(bar baz) { if bar > 1 { print bar + 1 } else { print not baz } } """) XCTAssertEqual(type.parameterType, .tuple([.number, .any])) XCTAssertEqual(type.returnType, .void) } func testConditionalFunctionParameters3() throws { let type = try functionType(""" define foo(bar baz) { if baz > 1 { print bar } else { print bar + 1 } } """) XCTAssertEqual(type.parameterType, .tuple([.union([.numberOrVector, .list(.any)]), .number])) XCTAssertEqual(type.returnType, .void) } func testConditionalFunctionParameters4() throws { let type = try functionType(""" define foo(bar) { if true { print bar + 1 texture bar } else { print bar + 1 } } """) XCTAssertEqual(type.parameterType, .tuple([ .union([.number, .list(.number), .texture]), ])) XCTAssertEqual(type.returnType, .void) } func testErrorThrowingArgumentHasCorrectRange() throws { let name = "Nope.jpg" let program = try parse(""" define foo(bar baz) { if baz { texture bar } } foo("\(name)" true) """) let range = program.source.range(of: "\"\(name)\"") let context = EvaluationContext(source: "", delegate: nil) XCTAssertThrowsError(try program.evaluate(in: context)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.type, .fileNotFound(for: name, at: nil)) XCTAssertEqual(error?.range, range) } } func testFunctionWithForwardReferenceToConstant() throws { let type = try functionType(for: "foo", in: """ define foo() { bar } define bar 3 """) XCTAssertEqual(type.parameterType, .void) XCTAssertEqual(type.returnType, .number) } func testFunctionWithForwardReferenceToFunction() throws { let type = try functionType(for: "foo", in: """ define foo() { bar } define bar() { 3 } """) XCTAssertEqual(type.parameterType, .void) XCTAssertEqual(type.returnType, .number) } func testFunctionWithNestedForwardReferenceToFunction() throws { let type = try functionType(for: "foo", in: """ define foo() { bar } define bar() { baz } define baz() { 3 } """) XCTAssertEqual(type.parameterType, .void) // TODO: this should actually be a number XCTAssertEqual(type.returnType, .any) } // MARK: Type unions func testTypeUnionIsOrderIndependent() { let type = ValueType.union([.string, .number]) XCTAssertEqual(type, .union([.number, .string])) } func testSimpleTypeUnion() { let type = ValueType.string.union(.number) XCTAssertEqual(type, .union([.string, .number])) } func testSubtypeUnion() { let type = ValueType.string.union(.any) XCTAssertEqual(type, .any) } func testSubtypeUnion2() { let type = ValueType.any.union(.number) XCTAssertEqual(type, .any) } func testSimpleTypeUnionWithUnion() { var type = ValueType.string.union(.number) type.formUnion(.boolean) XCTAssertEqual(type, .union([.string, .number, .boolean])) } func testMergeSimpleTypeUnions() { var type = ValueType.union([.string, .number]) type.formUnion(.union([.number, .boolean])) XCTAssertEqual(type, .union([.string, .number, .boolean])) } func testMergeTypeUnionsWithSubtypes() { var type = ValueType.union([.number, .any]) type.formUnion(.union([.number, .boolean])) XCTAssertEqual(type, .any) } // MARK: Type conversion func testCastNumberToNumberTuple() { XCTAssert(Value(1).isConvertible(to: .tuple([.number]))) XCTAssertEqual(try evaluate("1", as: .tuple([.number])), [.number(1)]) } func testCastNumberToNumberList() { XCTAssert(Value(1).isConvertible(to: .list(.number))) XCTAssertEqual(try evaluate("1", as: .list(.number)), [.number(1)]) } func testCastVectorToSizeAndViceVersa() { XCTAssert(Value.vector(.one).isConvertible(to: .size)) XCTAssert(Value.size(.one).isConvertible(to: .vector)) XCTAssertEqual(try evaluate("cube.bounds.size", as: .vector), .vector(.one)) } func testCastNumberToColor() { XCTAssert(Value(1).isConvertible(to: .color)) XCTAssertEqual(try evaluate("1", as: .color), .color(.white)) } func testCastNumberToColorList() { XCTAssert(Value(1).isConvertible(to: .list(.color))) XCTAssertEqual(try evaluate("1", as: .list(.color)), [.color(.white)]) } func testCastNumericCoupletToColor() { XCTAssert(Value(1, 0.5).isConvertible(to: .color)) XCTAssertEqual(try evaluate("1 0.5", as: .color), .color(Color.white.withAlpha(0.5))) } func testCastNumericTripletToColor() { XCTAssert(Value(1, 0.5, 0.1).isConvertible(to: .color)) XCTAssertEqual(try evaluate("1 0.5 0.1", as: .color), .color(Color(1, 0.5, 0.1))) } func testCastNumericQuadrupletToColor() { XCTAssert(Value(1, 0.5, 0.1, 0.2).isConvertible(to: .color)) XCTAssertEqual(try evaluate("1 0.5 0.1 0.2", as: .color), .color(Color(1, 0.5, 0.1, 0.2))) } func testCastNumericQuintupletToColor() { XCTAssertFalse(Value(1, 0.5, 0.1, 0.2, 0.3).isConvertible(to: .color)) XCTAssertThrowsError(try evaluate("1 0.5 0.1 0.2 0.3", as: .color)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.type, .unexpectedArgument(for: "", max: 4)) } } func testCastEmptyTupleToColor() { XCTAssertFalse(Value([]).isConvertible(to: .color)) XCTAssertThrowsError(try evaluate("()", as: .color)) { error in let error = try? XCTUnwrap(error as? RuntimeError) XCTAssertEqual(error?.type, .typeMismatch( for: "", expected: "color", got: "empty tuple" )) } } func testCastColorWithAlphaToColor() { XCTAssert(Value(.color(.red), 0.5).isConvertible(to: .color)) XCTAssertEqual(try evaluate("red 0.5", as: .color), .color(Color.red.withAlpha(0.5))) } func testCastColorToNumberList() { XCTAssert(Value.color(.red).isConvertible(to: .list(.number))) XCTAssertEqual(try evaluate("red", as: .list(.number)), [1, 0, 0, 1]) } func testCastColorWithAlphaToNumberList() { XCTAssert(Value(.color(.red), 0.5).isConvertible(to: .list(.number))) XCTAssertEqual(try evaluate("red 0.5", as: .list(.number)), [1, 0, 0, 0.5]) } func testCastNumericCoupletToNumberList() { XCTAssert(Value(1, 0.5).isConvertible(to: .list(.number))) XCTAssertEqual(try evaluate("1 0.5", as: .list(.number)), [1, 0.5]) } func testCastNumericCoupletToAnyList() { XCTAssert(Value(1, 0.5).isConvertible(to: .list(.any))) XCTAssertEqual(try evaluate("1 0.5", as: .list(.any)), [1, 0.5]) } func testCastMixedTupleToStringList() { XCTAssert(Value("foo", 0.5, true).isConvertible(to: .list(.string))) XCTAssertEqual(try evaluate("\"foo\" 0.5 true", as: .list(.string)), ["foo", "0.5", "true"]) } func testCastNumericCoupletToNumberTuple() { let type = ValueType.tuple([.number, .number]) XCTAssert(Value(1, 0.5).isConvertible(to: type)) XCTAssertEqual(try evaluate("1 0.5", as: type), [1, 0.5]) } func testCastNumericCoupletToAnyTuple() { let type = ValueType.tuple([.any, .any]) XCTAssert(Value(1, 0.5).isConvertible(to: type)) XCTAssertEqual(try evaluate("1 0.5", as: type), [1, 0.5]) } func testCastMixedTupleToMixedTuple() { let type = ValueType.tuple([.string, .number, .boolean]) XCTAssert(Value("foo", 0.5, true).isConvertible(to: type)) XCTAssertEqual(try evaluate("\"foo\" 0.5 true", as: type), ["foo", 0.5, true]) } func testCastMixedTupleToStringTuple() { let type = ValueType.tuple([.string, .string, .string]) XCTAssert(Value("foo", 0.5, true).isConvertible(to: type)) XCTAssertEqual(try evaluate("\"foo\" 0.5 true", as: type), ["foo", "0.5", "true"]) } func testCastMixedTupleToString() { XCTAssert(Value("foo", 0.5, true).isConvertible(to: .string)) XCTAssertEqual(try evaluate("\"foo\" 0.5 true", as: .string), "foo0.5 true") } func testCastMixedNestedTupleToString() { XCTAssert(Value("foo", Value(0.5, 1), "bar", true).isConvertible(to: .string)) XCTAssertEqual(try evaluate("\"foo\" (0.5 1) \"bar\" true", as: .string), "foo0.5 1bartrue") } func testCastTextureToString() throws { let url = TestDelegate().resolveURL(for: "Stars1.jpg") let texture = Texture.file(name: "Stars1.jpg", url: url) XCTAssert(Value.texture(texture).isConvertible(to: .string)) XCTAssertEqual(try evaluate(""" texture "Stars1.jpg" define foo texture foo """, as: .string), .string(url.path)) } func testCastPathToMesh() throws { XCTAssert(Value.path(.square()).isConvertible(to: .mesh)) XCTAssertNotNil(try evaluate("square", as: .mesh)) } func testCastPolygonToPath() throws { XCTAssertNotNil(try evaluate(""" define triangle polygon { point 0 0 point 1 0 point 1 1 } triangle """, as: .path)) } func testCastPolygonToMesh() throws { XCTAssertNotNil(try evaluate(""" define triangle polygon { point 0 0 point 1 0 point 1 1 } triangle """, as: .mesh)) } func testCastStringToInt() throws { XCTAssertEqual(try evaluate("\"1\" + 2", as: .any), 3) XCTAssertEqual(try evaluate("\"2\" * \"3\"", as: .any), 6) XCTAssertEqual(try evaluate("3 - \"4\"", as: .any), -1) XCTAssertEqual(try evaluate("+\"5\"", as: .any), 5) XCTAssertEqual(try evaluate("-\"7\"", as: .any), -7) } func testCastStringToDouble() throws { XCTAssertEqual(try evaluate("\"1.5\" + \"2.3\"", as: .any), 3.8) } func testCastStringTupleToVector() throws { XCTAssertEqual(try evaluate("\"1.5\" \"2.3\" \"0\"", as: .vector), .vector(.init(1.5, 2.3, 0))) } func testCastHexStringToColor() throws { XCTAssertEqual(try evaluate("\"#f00\"", as: .color), .color(.red)) } func testCastNestedTupleArguments() throws { let type = ValueType.tuple([.list(.string), .string]) XCTAssert(Value(Value("foo", "bar"), "baz").isConvertible(to: type)) XCTAssertEqual(try evaluate("(\"foo\" \"bar\") \"baz\"", as: type), [["foo", "bar"], "baz"]) } func testCastObjectToAnyList() throws { let type = ValueType.list(.any) let value = Value.object(["foo": "bar", "baz": "quux"]) XCTAssert(value.isConvertible(to: type)) XCTAssertEqual(value.as(type), [value]) } func testCastObjectToStringTupleList() throws { let type = ValueType.list(.tuple([.string, .string])) let value = Value.object(["foo": "bar", "baz": "quux"]) XCTAssert(value.isConvertible(to: type)) XCTAssertEqual(value.as(type), [["baz", "quux"], ["foo", "bar"]]) } func testCastObjectToStringNumberTupleList() throws { let type = ValueType.list(.tuple([.string, .number])) let value = Value.object(["foo": 1, "baz": 2]) XCTAssert(value.isConvertible(to: type)) XCTAssertEqual(value.as(type), [["baz", 2], ["foo", 1]]) } func testCastObjectToTuple() throws { let type = ValueType.tuple([.tuple([.string, .boolean]), .tuple([.string, .number])]) let value = Value.object(["foo": 1, "baz": true]) XCTAssert(value.isConvertible(to: type)) XCTAssertEqual(value.as(type), [["baz", true], ["foo", 1]]) } func testCastValueToTupleWithOptional() throws { let type = ValueType.tuple([.boolean, .optional(.string)]) let value = Value.boolean(true) XCTAssert(value.isConvertible(to: type)) XCTAssertEqual(value.as(type), [true]) } func testCastRadiansToNumber() throws { let type = ValueType.number let value = Value.radians(.pi) XCTAssert(value.isConvertible(to: type)) XCTAssertEqual(value.as(type), .number(.pi)) } func testCastHalfturnsToNumber() throws { let type = ValueType.number let value = Value.halfturns(1) XCTAssert(value.isConvertible(to: type)) XCTAssertEqual(value.as(type), .number(1)) } func testCastNumberToRadians() throws { let type = ValueType.radians let value = Value.number(.pi) XCTAssert(value.isConvertible(to: type)) XCTAssertEqual(value.as(type), .radians(.pi)) } func testCastNumberToHalfturns() throws { let type = ValueType.halfturns let value = Value.number(1) XCTAssert(value.isConvertible(to: type)) XCTAssertEqual(value.as(type), .halfturns(1)) } func testCastRadiansToHalfturns() throws { let type = ValueType.halfturns let value = Value.radians(.pi) XCTAssertFalse(value.isConvertible(to: type)) } } ShapeScript-1.6.14/Viewer/000077500000000000000000000000001450355336000152755ustar00rootroot00000000000000ShapeScript-1.6.14/Viewer/CLI/000077500000000000000000000000001450355336000157045ustar00rootroot00000000000000ShapeScript-1.6.14/Viewer/CLI/CLI+Export.swift000066400000000000000000000022101450355336000206410ustar00rootroot00000000000000// // CLI+Export.swift // ShapeScript Lib // // Created by Nick Lockwood on 07/05/2023. // Copyright © 2023 Nick Lockwood. All rights reserved. // import Foundation import ShapeScript struct ExportOptions { var convertToZUp: Bool } extension ExportOptions { static let arguments: [(name: String, help: String)] = [ ("z-up", "Output model using Z as up axis instead of Y"), ] init(arguments: [String: String]) throws { convertToZUp = try arguments["z-up"].map { guard $0 == "" else { throw CLIError("--z-up option does not expect a value") } return true } ?? false } } extension CLI { static let exportTypes: [String] = ["stl"] func export(_ geometry: Geometry, to url: URL, with options: ExportOptions) throws { var mesh = geometry.merged() if options.convertToZUp { mesh.rotate(by: .pitch(.degrees(-90))) } let name = geometry.name ?? url.deletingPathExtension().lastPathComponent let stl = mesh.stlString(name: name) try stl.write(to: url, atomically: true, encoding: .utf8) } } ShapeScript-1.6.14/Viewer/CLI/CLI.swift000066400000000000000000000155071450355336000174010ustar00rootroot00000000000000// // CLI.swift // CLI // // Created by Nick Lockwood on 13/04/2023. // Copyright © 2023 Nick Lockwood. All rights reserved. // import Euclid import Foundation import ShapeScript #if canImport(SceneKit) import SceneKit #endif struct CLIError: Error, CustomNSError { let message: String init(_ message: String) { self.message = message } var errorUserInfo: [String: Any] { if message.hasPrefix("Error") { return [NSLocalizedDescriptionKey: message] } return [NSLocalizedDescriptionKey: "Error: \(message)"] } } class CLI { let inputURL: URL? let outputURL: URL? let exportOptions: ExportOptions init(in directory: String, with arguments: [String]) throws { let argNames = ExportOptions.arguments.map { $0.name } let args = try preprocessArguments(arguments, argNames) inputURL = try args["1"].map { let url = expandPath($0, in: directory) guard url.pathExtension == "shape" else { throw CLIError("Unsupported file type '\(url.pathExtension)'") } return url } outputURL = try args["2"].map { let url = expandPath($0, in: directory) guard Self.exportTypes.contains(url.pathExtension) else { throw CLIError("Unsupported export file type '\(url.pathExtension)'") } return url } exportOptions = try ExportOptions(arguments: args) } func run() throws { let args = ExportOptions.arguments let indent = args.map { $0.name.count }.max() ?? 0 let help = args.map { name, help -> String in let indent = String(repeating: " ", count: indent - name.count) return " --\(name)\(indent) \(help)" } guard let inputURL = inputURL else { print(""" ShapeScript, version \(version) Copyright (c) 2023 Nick Lockwood USAGE: shapescript [] [] OPTIONS: \(help.joined(separator: "\n")) """) return } let input: String do { input = try String(contentsOf: inputURL) } catch { throw CLIError("\(error.localizedDescription)") } do { print("Loading file '\(inputURL.lastPathComponent)' ...") let program = try parse(input) let cache = GeometryCache() print("Running script ...") let scene = try evaluate(program, delegate: self, cache: cache) { false } print("Building geometry ...") _ = scene.build { true } let geometry = Geometry( type: .group, name: nil, transform: .identity, material: .default, smoothing: nil, children: scene.children, sourceLocation: nil ) guard let outputURL = outputURL else { // Show model info print(geometry.modelInfo) return } // Export model print("Exporting to '\(outputURL.lastPathComponent)' ...") try export(geometry, to: outputURL, with: exportOptions) print("Export complete") } catch let error as CLIError { throw error } catch { let error = ProgramError(error) throw CLIError(error.message(with: input)) } } } extension CLI: EvaluationDelegate { func resolveURL(for path: String) -> URL { URL(fileURLWithPath: path, relativeTo: inputURL) } func importGeometry(for url: URL) throws -> Geometry? { var isDirectory: ObjCBool = false _ = FileManager.default.fileExists(atPath: url.path, isDirectory: &isDirectory) var url = url if isDirectory.boolValue { let newURL = url.appendingPathComponent(url.lastPathComponent) if FileManager.default.fileExists(atPath: newURL.path) { url = newURL } } #if canImport(SceneKit) let scene = try SCNScene(url: url, options: [ .flattenScene: false, .createNormalsIfAbsent: true, .convertToYUp: true, ]) return try Geometry(scene.rootNode) #else return nil #endif } func debugLog(_ values: [AnyHashable]) { var spaceNeeded = false print(values.compactMap { switch $0 { case let string as String: spaceNeeded = false return string case let value: let string = String(logDescriptionFor: value as Any) defer { spaceNeeded = true } return spaceNeeded ? " \(string)" : string } }.joined()) } } private func expandPath(_ path: String, in directory: String) -> URL { if path.hasPrefix("/") { return URL(fileURLWithPath: path).standardized } if path.hasPrefix("~") { return URL(fileURLWithPath: NSString(string: path).expandingTildeInPath).standardized } return URL(fileURLWithPath: directory).appendingPathComponent(path).standardized } private func preprocessArguments( _ args: [String], _ names: [String] ) throws -> [String: String] { var anonymousArgs = 0 var namedArgs: [String: String] = [:] var name = "" for arg in args { if arg.hasPrefix("--") { // Long argument names let key = String(arg.unicodeScalars.dropFirst(2)) guard names.contains(key) else { guard let match = key.bestMatches(in: names).first else { throw CLIError("Unknown option --\(key)") } throw CLIError("Unknown option --\(key). Did you mean --\(match)?") } name = key namedArgs[name] = namedArgs[name] ?? "" continue } else if arg.hasPrefix("-") { // Short argument names let flag = String(arg.unicodeScalars.dropFirst()) guard let match = names.first(where: { $0.hasPrefix(flag) }) else { guard let match = flag.bestMatches(in: names).first else { throw CLIError("Unknown flag -\(flag)") } throw CLIError("Unknown flag -\(flag). Did you mean -\(match)?") } name = match namedArgs[name] = namedArgs[name] ?? "" continue } if name == "" { // Argument is anonymous name = String(anonymousArgs) anonymousArgs += 1 } else if namedArgs[name] != "" { throw CLIError("Duplicate option --\(name)") } namedArgs[name] = arg name = "" } return namedArgs } ShapeScript-1.6.14/Viewer/CLI/Geometry+ModelInfo.swift000066400000000000000000000014341450355336000224270ustar00rootroot00000000000000// // Geometry+ModelInfo.swift // Viewer // // Created by Nick Lockwood on 21/01/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import ShapeScript extension Geometry { var modelInfo: String { let polygons = String(polygonCount) let triangles = String(triangleCount) let dimensions = exactBounds(with: worldTransform).size.logDescription let watertight = String(isWatertight) return [ "Objects: \(objectCount)", triangles == polygons ? nil : "Polygons: \(polygons)", hasMesh ? "Triangles: \(triangles)" : nil, bounds.isEmpty ? nil : "Dimensions: \(dimensions)", hasMesh ? "Watertight: \(watertight)" : nil, ].compactMap { $0 }.joined(separator: "\n") } } ShapeScript-1.6.14/Viewer/CLI/ProgramError+Formatting.swift000066400000000000000000000021551450355336000235140ustar00rootroot00000000000000// // ProgramError+Formatting.swift // ShapeScript Viewer // // Created by Nick Lockwood on 01/08/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // import ShapeScript extension ProgramError { /// Returns a nicely-formatted rich text error message. func message(with source: String) -> String { var errorMessage = "\(messageAndLocation(with: source))\n" if let line = annotatedErrorLine(with: source) { let indentedLines = line.split(separator: "\n").map { " \($0)" } errorMessage += "\n\(indentedLines.joined(separator: "\n"))\n" } if let hint = hint { errorMessage += "\n\(hint)\n" } return errorMessage } } private func numberOfEmoji(in string: S) -> Int { string.reduce(0) { count, c in let scalars = c.unicodeScalars if scalars.count > 1 || (scalars.first?.value ?? 0) > 0x238C { return count + 1 } return count } } private func emojiSpacing(for string: S) -> Int { Int(Double(numberOfEmoji(in: string)) * 1.25) } ShapeScript-1.6.14/Viewer/CLI/main.swift000066400000000000000000000006221450355336000177060ustar00rootroot00000000000000// // main.swift // CLI // // Created by Nick Lockwood on 31/08/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import Foundation let arguments = CommandLine.arguments let directory = FileManager.default.currentDirectoryPath do { let cli = try CLI(in: directory, with: arguments) try cli.run() exit(0) } catch { print(error.localizedDescription) exit(-1) } ShapeScript-1.6.14/Viewer/Mac/000077500000000000000000000000001450355336000157755ustar00rootroot00000000000000ShapeScript-1.6.14/Viewer/Mac/AppDelegate.swift000066400000000000000000000115671450355336000212400ustar00rootroot00000000000000// // AppDelegate.swift // Viewer // // Created by Nick Lockwood on 09/09/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // import Cocoa import ShapeScript protocol ExportMenuProvider { func updateExportMenu() } @NSApplicationMain class AppDelegate: NSObject, NSApplicationDelegate { var window: NSWindow? { NSApp.mainWindow } lazy var welcomeWindowController: NSWindowController = NSStoryboard(name: "Main", bundle: nil) .instantiateController(withIdentifier: "WelcomeWindow") as! NSWindowController lazy var whatsNewWindowController: NSWindowController? = NSStoryboard(name: "Main", bundle: nil) .instantiateController(withIdentifier: "ReleaseNotesWindow") as? NSWindowController lazy var preferencesWindowController: NSWindowController = NSStoryboard(name: "Main", bundle: nil) .instantiateController(withIdentifier: "PreferencesWindow") as! NSWindowController private var exampleURLs = [String: URL]() @IBOutlet private var examplesMenu: NSMenu! @IBOutlet private var camerasMenu: NSMenu! @IBOutlet var exportMenuItem: NSMenuItem? @IBOutlet var iapMenuItem: NSMenuItem? private var exportMenuProvider: ExportMenuProvider? { self as Any as? ExportMenuProvider } func applicationDidFinishLaunching(_: Notification) { let firstLaunchOfNewVersion = (Settings.shared.appVersion != appVersion) if firstLaunchOfNewVersion { Settings.shared.previousAppVersion = Settings.shared.appVersion Settings.shared.appVersion = appVersion } if WelcomeViewController.shouldShowAtStartup { welcomeWindowController.showWindow(self) dismissOpenSavePanel() } else if firstLaunchOfNewVersion { whatsNewWindowController?.showWindow(self) dismissOpenSavePanel() } if let files = Bundle.main.urls(forResourcesWithExtension: "shape", subdirectory: "Examples") { for url in files.sorted(by: { $0.path < $1.path }) { let name = url.deletingPathExtension().lastPathComponent exampleURLs[name] = url examplesMenu.addItem(withTitle: name, action: #selector(openExample), keyEquivalent: "") } } exportMenuProvider?.updateExportMenu() } func applicationShouldOpenUntitledFile(_: NSApplication) -> Bool { if NSApp.windows.allSatisfy({ !$0.isVisible }) { NSDocumentController.shared.openDocument(nil) } return false } @IBAction func openOnlineDocumentation(_: Any) { NSWorkspace.shared.open(onlineHelpURL) } @IBAction func openExample(sender: NSMenuItem) { if let url = exampleURLs[sender.title] { NSDocumentController.shared.openDocument(withContentsOf: url, display: true) { _, _, _ in } } } @IBAction func showPreferences(sender _: NSMenuItem) { preferencesWindowController.showWindow(self) } private func composeEmail(subject: String, body: String, error: String) { let emailService = NSSharingService(named: .composeEmail)! emailService.recipients = ["support@charcoaldesign.co.uk"] emailService.subject = subject if emailService.canPerform(withItems: [body]) { emailService.perform(withItems: [body]) } else { let error = NSError(domain: "", code: 0, userInfo: [ NSLocalizedDescriptionKey: error, ]) NSDocumentController.shared.presentError(error) } } @IBAction func reportBug(_: Any) { composeEmail(subject: "ShapeScript bug report", body: "Write your bug report here.\n\nRemember to include all relevant information needed to reproduce the issue.\n\nIf you have a .shape file or screenshot that demonstrates the problem, please attach it.", error: "No email client is set up on this machine. Please report bugs to support@charcoaldesign.co.uk with the subject line 'ShapeScript bug report'.") } @IBAction func requestFeature(_: Any) { composeEmail(subject: "ShapeScript feature request", body: "Write your feature request here.", error: "No email client is set up on this machine. Please send feature requests to support@charcoaldesign.co.uk with the subject line 'ShapeScript feature request'.") } @IBAction func showWelcomeWindow(_: Any) { welcomeWindowController.showWindow(self) } @IBAction func showWhatsNew(_: Any) { whatsNewWindowController?.showWindow(self) } } extension AppDelegate: NSMenuItemValidation { func validateMenuItem(_ menuItem: NSMenuItem) -> Bool { switch menuItem.action { case #selector(selectCameras(_:)): menuItem.title = "Camera" return false default: return true } } @IBAction func selectCameras(_: NSMenuItem) { // Does nothing } } ShapeScript-1.6.14/Viewer/Mac/Assets.xcassets/000077500000000000000000000000001450355336000210735ustar00rootroot00000000000000ShapeScript-1.6.14/Viewer/Mac/Assets.xcassets/AppIcon.appiconset/000077500000000000000000000000001450355336000245705ustar00rootroot00000000000000ShapeScript-1.6.14/Viewer/Mac/Assets.xcassets/AppIcon.appiconset/1024-dark.png000066400000000000000000004673371450355336000266270ustar00rootroot00000000000000PNG  IHDR+ !iCCPICC ProfileHWTH RK*U@B!TkAE+*b[ "bEY 6P$tWλ?߹sNgPř*Y\ItkRb @q9bߨ0e Y}VUx.H)nćbI.7+Y $ ) (p&6d4G+(@l' E7Apx@<:+k*[|'o1SFbr8i#X\q&g9[2}BHBe9-cF >/JXB^Ґ!8f JqB!փX;8/G H2#z(>/ʌS"ೇq?'0f&UĆ! e<'X91C/#}Iec +g84UǜBvĐ>,WŦq9rs& |(n'V*gF cM`֜a\ 3!J/!΍UpY RXR ==`%p> {$[DAΈˈVf{ܜۨ;a; JѢP,SVv=OLGZ~x[a' XVX ᑵT6{ɀq6vvv?_"˟+83ij%4A.|[3`gOQٯ8Z2g:¼M [T}qt o:7p XW*Spه(*pxvYŒ3> L $ip EU`[v A=h'Yp \+%A? $01ClB0$ID4DHb)E*mH +r9\@ڑ;#y|F1j9:uE}P4h>]U=^BoKČ0["$,`" apaX ' \<.?_WG!؄I4LB!ppN{"$Z]^M$KvbD!ِ5ׄߏ0EGHvQQQM$NX9+>znF1cbWދƵīOP1iy.%& HII;&N^7sӔ)7ZL54iӎMWΙ~(;yɩS6r/y>n',34ygښnL#V_oI3c03!s9+9H]!:=`Ƭbq#={]v$T#əӐ/ٗҟ*>Όyh,Ѭ˳g/,?(9Fs}4w޶- L,Yй0xEE~/+(-x8aq% <)BBI᭥K,× .w\a"^bnş.ypE֕+7"{R'kԭe-ZnuƕmYO]/]QVްtê ~7m\&ަ}6ۢx­o2*Nܞ:/QNΎ]ѻN׸۽vmoކ}g/>H5כCr=GGꐺuĆ4z4mo;*i[yz|'='N>irԤSOO?9@(bkYb# ` =NV(ޓrV N(a1ku<#eHrRhC88VR#_$TCwhV e"{n+Cm/3ptO pHYs%%IR$*iTXtXML:com.adobe.xmp 2 0 144 1 144 1024 1 1024 2018:10:25 17:10:17 Pixelmator 3.7.5 @IDATx ]Uy ddJ!s " V0UPD_P@hނU`*h/V` @d@>sde]>Ϛ߽yZkj8@ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @@lַb @B3BF8v#@~!:7zu  %vUyC: @õϕQ 4!P見kREˤMQ7lˆ 0;!@~9.85S}6nV4@!:lHC @he_aK9R1/îQқ|3M @Ao;"@F,p,q%RWVa]s|U9)O@@hpP @@ٿpX;. 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V;λdaGDDȊa< .cV"y!Fg*bFcvd w Y^tsdwAd%)FΝ;w`֒ iu*-6M2Y-eͣƿ3߉ˁ7EȆ˯<|7R *f=}̦M~e$EQxNy)<8 >ap̙3g'FyMعsR-dKjHΎJf0{m6?Ο;Yװ'M M9ߢESÆ ' ܀7:,78%(000VCV+}j3P -[CvC{@ d1'0" zrK.89Iw\=_rP**{O(IENDB`ShapeScript-1.6.14/Viewer/Mac/Assets.xcassets/AppIcon.appiconset/Contents.json000066400000000000000000000023421450355336000272610ustar00rootroot00000000000000{ "images" : [ { "idiom" : "mac", "size" : "16x16", "filename" : "16-dark.png", "scale" : "1x" }, { "idiom" : "mac", "size" : "16x16", "filename" : "32-dark.png", "scale" : "2x" }, { "idiom" : "mac", "size" : "32x32", "filename" : "32-dark.png", "scale" : "1x" }, { "idiom" : "mac", "size" : "32x32", "filename" : "64-dark.png", "scale" : "2x" }, { "idiom" : "mac", "size" : "128x128", "filename" : "128-dark.png", "scale" : "1x" }, { "idiom" : "mac", "size" : "128x128", "filename" : "256-dark.png", "scale" : "2x" }, { "idiom" : "mac", "size" : "256x256", "filename" : "256-dark.png", "scale" : "1x" }, { "size" : "256x256", "idiom" : "mac", "filename" : "512-dark.png", "scale" : "2x" }, { "size" : "512x512", "idiom" : "mac", "filename" : "512-dark.png", "scale" : "1x" }, { "size" : "512x512", "idiom" : "mac", "filename" : "1024-dark.png", "scale" : "2x" } ], "info" : { "version" : 1, "author" : "xcode" } }ShapeScript-1.6.14/Viewer/Mac/Assets.xcassets/Contents.json000066400000000000000000000000761450355336000235660ustar00rootroot00000000000000{ "info" : { "version" : 1, "author" : "xcode" } }ShapeScript-1.6.14/Viewer/Mac/Base.lproj/000077500000000000000000000000001450355336000177745ustar00rootroot00000000000000ShapeScript-1.6.14/Viewer/Mac/Base.lproj/Main.storyboard000066400000000000000000003455001450355336000230010ustar00rootroot00000000000000 ShapeScript-1.6.14/Viewer/Mac/Document.swift000066400000000000000000000364151450355336000206420ustar00rootroot00000000000000// // Document.swift // Viewer // // Created by Nick Lockwood on 09/09/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // import Cocoa import SceneKit import ShapeScript class Document: NSDocument { static var backgroundColor: NSColor { if Thread.isMainThread { NSAppearance.current = NSApp.effectiveAppearance } else { DispatchQueue.main.sync { NSAppearance.current = NSApp.effectiveAppearance } } return .underPageBackgroundColor } let cache = GeometryCache() let settings = Settings.shared private(set) var fileMonitor: FileMonitor? var viewController: DocumentViewController? { let viewController = windowControllers.compactMap { $0.window?.contentViewController as? DocumentViewController }.first viewController?.document = self return viewController } var scene: Scene? { didSet { updateCameras() updateViews() } } var geometry: Geometry { Geometry( type: .group, name: nil, transform: .identity, material: .default, smoothing: nil, children: scene?.children ?? [], sourceLocation: nil ) } var loadingProgress: LoadingProgress? { didSet { updateViews() } } var errorMessage: NSAttributedString? var error: ProgramError? var rerenderRequired: Bool = false private var observer: Any? var sourceString: String? { didSet { didUpdateSource() } } override var fileURL: URL? { didSet { fileMonitor = FileMonitor(fileURL) { [weak self] url in _ = try self?.read(from: url, ofType: url.pathExtension) } } } override func makeWindowControllers() { dismissOpenSavePanel() if fileURL == nil { showNewDocumentPanel() return } // Returns the Storyboard that contains your Document window. let storyboard = NSStoryboard(name: NSStoryboard.Name("Main"), bundle: nil) let windowController = storyboard.instantiateController(withIdentifier: NSStoryboard.SceneIdentifier("Document Window Controller")) as! NSWindowController addWindowController(windowController) guard let newWindow = windowController.window else { return } newWindow.delegate = windowController.contentViewController as? NSWindowDelegate if let currentWindow = NSDocumentController.shared.currentDocument? .windowControllers.first?.window, currentWindow.tabbedWindows != nil { currentWindow.addTabbedWindow(newWindow, ordered: .above) } updateViews() // Observe settings changes. observer = NotificationCenter.default.addObserver( forName: .settingsUpdated, object: nil, queue: .main ) { [weak self] _ in self?.rerender() self?.updateViews() } } override func close() { super.close() observer.map(NotificationCenter.default.removeObserver) loadingProgress?.cancel() fileMonitor = nil } override func read(from url: URL, ofType _: String) throws { try load(Data(contentsOf: url), fileURL: url) } @IBAction private func didSelectEditor(_ sender: NSPopUpButton) { handleEditorPopupAction(for: sender, in: windowForSheet) } private func openFileInEditor(_ fileURL: URL?) { guard let fileURL = fileURL else { return } guard settings.userDidChooseEditor, let editor = settings.selectedEditor else { let popup = NSPopUpButton(title: "", target: self, action: #selector(didSelectEditor)) configureEditorPopup(popup) popup.sizeToFit() let actionSheet = NSAlert() actionSheet.messageText = "Open in External Editor" actionSheet.informativeText = """ ShapeScript does not include a built-in editor. Choose an external editor to use from the menu below. You can choose a different editor later from ShapeScript > Preferences… """ actionSheet.accessoryView = popup actionSheet.addButton(withTitle: "Open") actionSheet.addButton(withTitle: "Cancel") showSheet(actionSheet, in: windowForSheet) { response in switch response { case .alertFirstButtonReturn: self.settings.userDidChooseEditor = true self.didSelectEditor(popup) self.openFileInEditor(fileURL) default: break } } return } do { try NSWorkspace.shared.open( [fileURL], withApplicationAt: editor.url, options: [], configuration: [:] ) } catch { settings.userDidChooseEditor = false presentError(error) } } @IBAction func openInEditor(_: AnyObject) { openFileInEditor(errorURL ?? selectedGeometry?.sourceLocation?.file ?? fileURL) } @IBAction func grantAccess(_: Any?) { let dialog = NSOpenPanel() dialog.title = "Grant Access" dialog.showsHiddenFiles = false dialog.directoryURL = error?.accessErrorURL dialog.canChooseDirectories = true showSheet(dialog, in: windowForSheet) { response in guard response == .OK, let fileURL = self.fileURL, let url = dialog.url else { return } self.bookmarkURL(url) do { _ = try self.read(from: fileURL, ofType: fileURL.pathExtension) } catch {} } } @IBAction func revealInFinder(_: AnyObject) { if let fileURL = fileURL { NSWorkspace.shared.activateFileViewerSelecting([fileURL]) } } @IBAction func showModelInfo(_: AnyObject) { let actionSheet = NSAlert() actionSheet.messageText = selectedGeometry.map { _ in "Selected Object Info" } ?? "Scene Info" actionSheet.informativeText = modelInfo actionSheet.addButton(withTitle: "OK") actionSheet.addButton(withTitle: "Open in Editor") let fileURL = selectedGeometry?.sourceLocation?.file ?? self.fileURL showSheet(actionSheet, in: windowForSheet) { [weak self] response in switch response { case .alertSecondButtonReturn: self?.openFileInEditor(fileURL) default: break } } } // MARK: Selection private var selectMenu: NSMenu? private func configureSelectMenu( _ menu: NSMenu, for shape: Geometry, with index: inout Int, countsByType: inout [String: Int] ) -> Bool { menu.removeAllItems() var containsSelection = false for shape in shape.children { let isSelectable = shape.isSelectable let hasSelectableChildren = shape.hasSelectableChildren guard isSelectable || hasSelectableChildren else { continue } let menuItem = menu.addItem( withTitle: geometryName(for: shape, in: &countsByType), action: #selector(selectShape(_:)), keyEquivalent: "" ) if isSelectable { index += 1 menuItem.tag = index menuItem.state = (selectedGeometry === shape) ? .on : .off if !containsSelection { containsSelection = (selectedGeometry === shape) } } if hasSelectableChildren { let submenu = NSMenu() if configureSelectMenu( submenu, for: shape, with: &index, countsByType: &countsByType ) { containsSelection = true menuItem.state = .mixed } menuItem.submenu = submenu } } return containsSelection } private func enumerateGeometries( in shape: Geometry, with fn: (Geometry) -> Void ) { for shape in shape.children { if shape.hasSelectableChildren { fn(shape) enumerateGeometries(in: shape, with: fn) } else if shape.isSelectable { fn(shape) } } } private func geometryName( for geometry: Geometry, in countsByType: inout [String: Int] ) -> String { let typeName = geometry.type.logDescription var count = countsByType[typeName] ?? 0 count += 1 countsByType[typeName] = count if let name = geometry.name, !name.isEmpty { return "\(name) (\(typeName.capitalized) \(count))" } return "\(typeName.capitalized) \(count)" } private func geometryName(for geometry: Geometry) -> String { var countsByType = [String: Int]() let selectableGeometries = self.selectableGeometries for shape in selectableGeometries { let name = geometryName(for: shape, in: &countsByType) if shape === geometry { return name } } return "" } private var selectableGeometries: [Geometry] { var geometries = [Geometry]() enumerateGeometries(in: geometry) { geometry in geometries.append(geometry) } return geometries } func selectShape(at index: Int, andSpeakName speakName: Bool = false) { let selectableGeometries = self.selectableGeometries guard selectableGeometries.indices.contains(index) else { return } let shape = selectableGeometries[index] if speakName { voiceOver(geometryName(for: shape)) } viewController?.selectGeometry(shape.scnNode) } func selectNextShape() { let selectableGeometries = self.selectableGeometries if let selectedGeometry = selectedGeometry, let index = selectableGeometries.firstIndex(where: { $0 === selectedGeometry }) { let index = (index + 1) % selectableGeometries.count selectShape(at: index, andSpeakName: true) } else { selectShape(at: 0, andSpeakName: true) } } func selectPreviousShape() { let selectableGeometries = self.selectableGeometries if let selectedGeometry = selectedGeometry, let index = selectableGeometries.firstIndex(where: { $0 === selectedGeometry }) { let index = index > 0 ? index - 1 : selectableGeometries.count - 1 selectShape(at: index, andSpeakName: true) } else { selectShape(at: selectableGeometries.count - 1, andSpeakName: true) } } func clearSelection() { voiceOver("Deselected") viewController?.selectGeometry(nil) } @IBAction func selectShapes(_: NSMenuItem) { // Does nothing } @IBAction func selectShape(_ menuItem: NSMenuItem) { selectShape(at: menuItem.tag - 1) } @IBAction func clearSelection(_: NSMenuItem) { viewController?.selectGeometry(nil) } // MARK: Cameras var cameras: [Camera] = CameraType.allCases.map { Camera(type: $0) } private var camerasMenu: NSMenu? private func configureCameraMenu(_ menu: NSMenu) { while menu.item(at: 0)?.isSeparatorItem == false { menu.removeItem(at: 0) } for (i, camera) in cameras.enumerated() { let menuItem = menu.insertItem( withTitle: camera.name, action: #selector(selectCamera(_:)), keyEquivalent: i < 9 ? "\(i + 1)" : "", at: i ) menuItem.tag = i menuItem.keyEquivalentModifierMask = .command } } @IBAction func selectCameras(_: NSMenuItem) { // Does nothing } @IBAction func selectCamera(_ menuItem: NSMenuItem) { if !selectCamera(at: menuItem.tag) { NSSound.beep() } } @IBAction func copyCamera(_: NSMenuItem) { viewController?.copyCamera() } @IBAction func showWireframe(_: NSMenuItem) { showWireframe.toggle() } @IBAction func showAxes(_: NSMenuItem) { showAxes.toggle() } @IBAction func setOrthographic(_: NSMenuItem) { isOrthographic.toggle() } // MARK: Menus override func validateMenuItem(_ menuItem: NSMenuItem) -> Bool { switch menuItem.action { case #selector(showWireframe(_:)): menuItem.state = showWireframe ? .on : .off case #selector(showAxes(_:)): menuItem.state = showAxes ? .on : .off case #selector(setOrthographic(_:)): menuItem.state = camera.isOrthographic ?? isOrthographic ? .on : .off return camera.isOrthographic == nil case #selector(selectCamera(_:)) where menuItem.tag < cameras.count: if camera == cameras[menuItem.tag] { menuItem.state = cameraHasMoved ? .mixed : .on } else { menuItem.state = (camera == cameras[menuItem.tag]) ? .on : .off } case #selector(selectShapes(_:)): if let submenu = menuItem.submenu { selectMenu = submenu var index = 0, countsByType = [String: Int]() _ = configureSelectMenu( submenu, for: geometry, with: &index, countsByType: &countsByType ) return submenu.numberOfItems != 0 } case #selector(selectCameras(_:)): menuItem.title = "Camera (\(camera.name))" camerasMenu = menuItem.submenu camerasMenu.map(configureCameraMenu) case #selector(clearSelection(_:)): return selectedGeometry != nil case #selector(showModelInfo(_:)): menuItem.title = selectedGeometry == nil ? "Scene Info" : "Model Info" default: break } return super.validateMenuItem(menuItem) } } private extension Geometry { var isSelectable: Bool { switch type { case .cone, .cylinder, .sphere, .cube, .mesh, .extrude, .lathe, .loft, .fill, .hull, .union, .difference, .intersection, .xor, .stencil, .path: return true case .camera, .light, .group: return false } } var hasSelectableChildren: Bool { switch type { case .group: return true case .cone, .cylinder, .sphere, .cube, .mesh, .extrude, .lathe, .loft, .fill, .path, .camera, .light: return false case .hull, .union, .difference, .intersection, .xor, .stencil: return childDebug } } } extension NSView { var contentScaleFactor: CGFloat { window?.backingScaleFactor ?? 1 } } ShapeScript-1.6.14/Viewer/Mac/DocumentViewController.swift000066400000000000000000000157011450355336000235340ustar00rootroot00000000000000// // DocumentViewController.swift // Viewer // // Created by Nick Lockwood on 09/09/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // import Euclid import SceneKit import ShapeScript class DocumentViewController: NSViewController { let scnScene = SCNScene() var renderTimer: Timer? private(set) var scnView: SCNView! @IBOutlet private var containerView: NSSplitView! @IBOutlet private var errorScrollView: NSScrollView! @IBOutlet private(set) var errorTextView: NSTextView! @IBOutlet private var loadingIndicator: NSProgressIndicator! @IBOutlet private(set) var grantAccessButton: NSButton! @IBOutlet private var consoleScrollView: NSScrollView! @IBOutlet private var consoleTextView: NSTextView! weak var document: Document? lazy var cameraNode: SCNNode = makeCameraNode() weak var axesNode: SCNNode? var errorMessage: NSAttributedString? { didSet { guard let errorMessage = errorMessage else { errorScrollView.isHidden = true return } errorTextView.textContainerInset = CGSize(width: 20, height: 20) errorTextView.textStorage?.setAttributedString(errorMessage) errorScrollView.isHidden = false } } private var logLength: Int = 0 func clearLog() { logLength = 0 consoleTextView.textStorage?.setAttributedString(NSAttributedString(string: "")) } func appendLog(_ text: String) { if text.isEmpty { return } let logLimit = 20000 let charCount = text.count logLength += charCount if logLength > logLimit { if logLength - charCount > logLimit { return } consoleTextView.textStorage?.append(NSAttributedString( string: "Console limit exceeded. No further logs will be printed.", attributes: [ .foregroundColor: NSColor.red, .font: NSFont.systemFont(ofSize: 13), ] )) } else { consoleTextView.textStorage?.append(NSAttributedString( string: text, attributes: [ .foregroundColor: NSColor.textColor, .font: NSFont.systemFont(ofSize: 13), ] )) } DispatchQueue.main.async { self.consoleTextView.scrollToEndOfDocument(self) } } func updateModals() { // Does nothing on macOS } var isLoading = false { didSet { guard isLoading != oldValue else { return } if isLoading { loadingIndicator.startAnimation(nil) } else { loadingIndicator.stopAnimation(nil) refreshView() } } } var showConsole = false { didSet { guard showConsole != oldValue else { return } if showConsole { if consoleScrollView.superview == nil { containerView.insertArrangedSubview(consoleScrollView, at: 1) consoleTextView.textContainerInset = CGSize(width: 5, height: 5) } } else { containerView.removeArrangedSubview(consoleScrollView) } } } var showAxes = false { didSet { if showAxes != oldValue { updateAxesAndCamera() } } } var isOrthographic = false { didSet { if isOrthographic != oldValue { refreshOrthographic() } } } var camera: Camera = .default { didSet { if camera != oldValue { updateAxesAndCamera() resetView() } } } var background: MaterialProperty? { get { MaterialProperty(scnScene.background) } set { newValue?.configureProperty(scnScene.background) } } var geometry: Geometry? { didSet { refreshGeometry() } } weak var selectedGeometry: Geometry? override func viewDidLoad() { super.viewDidLoad() // create view scnView = SCNView(frame: containerView.bounds) scnView.autoresizingMask = [.width, .height] containerView.insertArrangedSubview(scnView, at: 0) // set view background color scnView.wantsLayer = true // set the scene to the view scnView.scene = scnScene // configure the view scnView.backgroundColor = .clear scnView.antialiasingMode = .multisampling16X scnView.pointOfView = cameraNode refreshGeometry() // add a click gesture recognizer let clickGesture = NSClickGestureRecognizer(target: self, action: #selector(handleClick(_:))) var gestureRecognizers = scnView.gestureRecognizers gestureRecognizers.insert(clickGesture, at: 0) scnView.gestureRecognizers = gestureRecognizers } override func viewWillLayout() { super.viewWillLayout() NSAppearance.current = NSApp.effectiveAppearance scnView.layer?.backgroundColor = Document.backgroundColor.cgColor document?.rerender() updateAxesAndCamera() if !cameraHasMoved { resetView() } } @IBAction func resetCamera(_: Any? = nil) { updateAxesAndCamera() resetView() } @IBAction func copyCamera(_: Any? = nil) { guard let code = document?.cameraConfig(for: scnView) else { NSSound.beep() return } // Copy code to clipboard NSPasteboard.general.declareTypes([.string], owner: nil) NSPasteboard.general.setString(code, forType: .string) } @objc func handleClick(_ gestureRecognizer: NSGestureRecognizer) { let location = gestureRecognizer.location(in: scnView) let hitResults = scnView.hitTest(location, options: [:]) selectGeometry(hitResults.first?.node) } override func keyDown(with event: NSEvent) { if event.modifierFlags.contains(.command), let index = event.characters.flatMap(Int.init) { if index == 0 { resetCamera() } else if document?.selectCamera(at: index - 1) == false { NSSound.beep() } return } switch event.keyCode { case 48: // tab if event.modifierFlags.contains(.shift) { document?.selectPreviousShape() } else { document?.selectNextShape() } return case 53: // escape document?.clearSelection() return default: super.keyDown(with: event) } } } extension DocumentViewController: NSWindowDelegate { func windowDidChangeOcclusionState(_: Notification) { refreshView() } } ShapeScript-1.6.14/Viewer/Mac/Info.plist000066400000000000000000000044341450355336000177520ustar00rootroot00000000000000 CFBundleDevelopmentRegion $(DEVELOPMENT_LANGUAGE) CFBundleDocumentTypes CFBundleTypeExtensions CFBundleTypeIconFile CFBundleTypeMIMETypes CFBundleTypeName ShapeScript document CFBundleTypeRole Editor LSHandlerRank Owner LSItemContentTypes com.charcoaldesign.shapescript-source LSTypeIsPackage 0 NSDocumentClass $(PRODUCT_MODULE_NAME).Document CFBundleExecutable $(EXECUTABLE_NAME) CFBundleIconFile CFBundleIdentifier $(PRODUCT_BUNDLE_IDENTIFIER) CFBundleInfoDictionaryVersion 6.0 CFBundleName $(PRODUCT_NAME) CFBundlePackageType APPL CFBundleShortVersionString $(MARKETING_VERSION) CFBundleVersion $(CURRENT_PROJECT_VERSION) LSApplicationCategoryType public.app-category.graphics-design LSMinimumSystemVersion $(MACOSX_DEPLOYMENT_TARGET) NSHumanReadableCopyright Copyright © 2018 Nick Lockwood. All rights reserved. NSMainStoryboardFile Main NSPrincipalClass NSApplication UTExportedTypeDeclarations UTTypeConformsTo public.c-source UTTypeDescription ShapeScript document UTTypeIdentifier com.charcoaldesign.shapescript-source UTTypeTagSpecification public.filename-extension shape ShapeScript-1.6.14/Viewer/Mac/PreferencesViewController.swift000066400000000000000000000012151450355336000242120ustar00rootroot00000000000000// // PreferencesViewController.swift // Viewer // // Created by Nick Lockwood on 21/12/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // import Cocoa class PreferencesViewController: NSViewController { @IBOutlet var editorPopUp: NSPopUpButton! override func viewDidLoad() { super.viewDidLoad() configureEditorPopup(editorPopUp) } override func viewWillAppear() { super.viewWillAppear() configureEditorPopup(editorPopUp) } // MARK: Editor @IBAction func didSelectEditor(_ sender: NSPopUpButton) { handleEditorPopupAction(for: sender, in: view.window) } } ShapeScript-1.6.14/Viewer/Mac/Settings+Editor.swift000066400000000000000000000110031450355336000220700ustar00rootroot00000000000000// // Settings+Editor.swift // ShapeScript Viewer // // Created by Nick Lockwood on 09/05/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import AppKit struct EditorApp: Comparable { var name: String var url: URL init(_ url: URL) { self.url = url name = url.deletingPathExtension().lastPathComponent } static func < (lhs: EditorApp, rhs: EditorApp) -> Bool { lhs.name < rhs.name } } extension Settings { // MARK: Editor var editorApps: [EditorApp] { if let apps = associatedData[#function] as? [EditorApp] { return apps } var appIDs = [ "com.github.atom", "com.microsoft.VSCode", "com.sublimetext", "com.sublimetext.2", "com.sublimetext.3", "com.panic.Coda", "com.panic.Coda2", // Fallback option "com.apple.TextEdit", ] for type in Settings.fileTypes { guard let handlers = LSCopyAllRoleHandlersForContentType(type as CFString, .editor)? .takeRetainedValue() as? [String] else { continue } appIDs += handlers.filter { id in !Settings.blacklist.contains(where: { id.compare($0, options: .caseInsensitive) == .orderedSame }) } } var apps = [EditorApp]() for url in appIDs.flatMap({ id -> [URL] in LSCopyApplicationURLsForBundleIdentifier(id as CFString, nil)? .takeRetainedValue() as? [URL] ?? [] }) + editorAppBookmarks.compactMap(url(forBookmark:)) { let app = EditorApp(url) if !apps.contains(where: { $0.name == app.name }) { apps.append(app) } } apps.sort() associatedData[#function] = apps return apps } var selectedEditor: EditorApp? { get { let data = defaults.object(forKey: #function) as? Data return data.flatMap(url(forBookmark:)).map(EditorApp.init) } set { let bookmark = newValue.flatMap { self.bookmark(for: $0.url) } defaults.set(bookmark, forKey: #function) } } var defaultEditor: EditorApp? { if let app = associatedData[#function] as? EditorApp { return app } // find best match for applicable file types for type in Settings.fileTypes { if let appID = LSCopyDefaultRoleHandlerForContentType(type as CFString, .editor)? .takeRetainedValue() as String?, !Settings.blacklist.contains(where: { appID.compare($0, options: .caseInsensitive) == .orderedSame }), let url = NSWorkspace.shared.urlForApplication(withBundleIdentifier: appID) { return EditorApp(url) } } let app = editorApps.first associatedData[#function] = app return app } func addEditorApp(for url: URL) { guard !editorApps.contains(where: { $0.url == url }), let data = bookmark(for: url) else { // TODO: Handle error return } editorAppBookmarks.append(data) associatedData["editorApps"] = nil } var userDidChooseEditor: Bool { get { defaults.bool(forKey: #function) } set { defaults.set(newValue, forKey: #function) } } private var editorAppBookmarks: [Data] { get { defaults.object(forKey: #function) as? [Data] ?? [] } set { defaults.set(newValue, forKey: #function) } } private func bookmark(for url: URL) -> Data? { // TODO: Handle errors try? url.bookmarkData( options: [], includingResourceValuesForKeys: nil, relativeTo: nil ) } private func url(forBookmark data: Data) -> URL? { // TODO: Handle errors var isStale = false return try? URL( resolvingBookmarkData: data, options: [], relativeTo: nil, bookmarkDataIsStale: &isStale ) } private static let fileTypes = [ "com.charcoaldesign.shapescript-source", "public.source-code", "public.plain-text", ] private static let blacklist = [ "com.apple.iWork.Numbers", "com.microsoft.Word", "com.microsoft.Excel", "com.charcoaldesign.ShapeScriptMac", "com.charcoaldesign.ShapeScriptViewer", "com.charcoaldesign.ShapeScript", ] } ShapeScript-1.6.14/Viewer/Mac/Utilities.swift000066400000000000000000000077471450355336000210450ustar00rootroot00000000000000// // Utilities.swift // Viewer // // Created by Nick Lockwood on 22/12/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // import AppKit import Euclid import ShapeScript // MARK: General let onlineHelpURL = URL(string: "https://shapescript.info/\(ShapeScript.version)/mac/")! func loadRTF(_ file: String) -> NSAttributedString { let file = Bundle.main.url(forResource: file, withExtension: "rtf")! let data = try! Data(contentsOf: file) return NSAttributedString(rtf: data, documentAttributes: nil)! } func showSheet(_ alert: NSAlert, in window: NSWindow?, _ handler: ((NSApplication.ModalResponse) -> Void)? = nil) { if let window = window { alert.beginSheetModal(for: window, completionHandler: handler) } else { let response = alert.runModal() handler?(response) } } func showSheet(_ dialog: NSSavePanel, in window: NSWindow?, _ handler: @escaping (NSApplication.ModalResponse) -> Void) { if let window = window { dialog.beginSheetModal(for: window, completionHandler: handler) } else { let response = dialog.runModal() handler(response) } } func showNewDocumentPanel() { let dialog = NSSavePanel() dialog.title = "New Document" dialog.showsHiddenFiles = true dialog.allowedFileTypes = ["shape"] dialog.nameFieldStringValue = "Untitled.shape" dialog.begin { response in guard response == .OK, let url = dialog.url else { return } do { let data: Data if let templateURL = Bundle.main.url( forResource: "Untitled", withExtension: "shape" ) { data = try Data(contentsOf: templateURL) } else { data = Data() } try data.write(to: url, options: .atomic) NSDocumentController.shared.openDocument(withContentsOf: url, display: true) { _, _, error in if let error = error { NSDocumentController.shared.presentError(error) } } } catch { NSDocumentController.shared.presentError(error) } } } func dismissOpenSavePanel() { for window in NSApp.windows where window is NSSavePanel { window.close() } } // MARK: Editor selection func configureEditorPopup(_ popup: NSPopUpButton) { let selectedEditor = Settings.shared.selectedEditor ?? Settings.shared.defaultEditor popup.removeAllItems() for app in Settings.shared.editorApps { popup.addItem(withTitle: app.name) if app == selectedEditor { popup.select(popup.menu?.items.last) } } popup.menu?.addItem(.separator()) popup.addItem(withTitle: "Other…") } func handleEditorPopupAction(for popup: NSPopUpButton, in window: NSWindow?) { let index = popup.indexOfSelectedItem if index < Settings.shared.editorApps.count { Settings.shared.selectedEditor = Settings.shared.editorApps[index] return } let appDirectory = NSSearchPathForDirectoriesInDomains(.allApplicationsDirectory, .systemDomainMask, true).first let dialog = NSOpenPanel() dialog.title = "Select App" dialog.showsHiddenFiles = false dialog.directoryURL = appDirectory.map { URL(fileURLWithPath: $0) } dialog.allowedFileTypes = ["app"] showSheet(dialog, in: window) { response in guard response == .OK, let url = dialog.url else { if let editor = Settings.shared.selectedEditor?.name { popup.selectItem(withTitle: editor) } return } Settings.shared.selectedEditor = EditorApp(url) } } // MARK: VoiceOver private weak var currentSpeech: NSSpeechSynthesizer? func voiceOver(_ string: String) { currentSpeech?.stopSpeaking() if NSWorkspace.shared.isVoiceOverEnabled, let speech = NSSpeechSynthesizer(voice: nil) { currentSpeech = speech speech.startSpeaking(string) } } ShapeScript-1.6.14/Viewer/Mac/Viewer.entitlements000066400000000000000000000005711450355336000216760ustar00rootroot00000000000000 com.apple.security.app-sandbox com.apple.security.files.user-selected.read-write com.apple.security.files.bookmarks.app-scope ShapeScript-1.6.14/Viewer/Mac/Welcome.rtf000066400000000000000000000020531450355336000201050ustar00rootroot00000000000000{\rtf1\ansi\ansicpg1252\cocoartf2638 \cocoatextscaling0\cocoaplatform0{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;} {\colortbl;\red255\green255\blue255;\red0\green0\blue0;} {\*\expandedcolortbl;;\cssrgb\c0\c0\c0\cname textColor;} \paperw11900\paperh16840\margl1440\margr1440\vieww15100\viewh13360\viewkind0 \pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\pardirnatural\partightenfactor0 \f0\fs28 \cf2 ShapeScript is a text-based 3D modeling tool. If this is your first time using ShapeScript, we recommend you check out the Getting Started guide.\expnd0\expndtw0\kerning0 \ \pard\pardeftab720\partightenfactor0 \cf2 \ This viewer is free to use for creating and previewing models in ShapeScript's own shape file format.\ \ The commercial release of ShapeScript (which you can find on the {\field{\*\fldinst{HYPERLINK "https://apps.apple.com/app/id1441135869"}}{\fldrslt Mac App Store}}) includes a one-time in-app purchase to unlock the ability to export ShapeScript models in various formats, for use with other applications.}ShapeScript-1.6.14/Viewer/Mac/WelcomeViewController.swift000066400000000000000000000020511450355336000233430ustar00rootroot00000000000000// // WelcomeViewController.swift // Viewer // // Created by Nick Lockwood on 02/11/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // import Cocoa class WelcomeViewController: NSViewController { @IBOutlet private var welcomeView: NSTextView! @IBOutlet private var shouldShowAtStartupCheckbox: NSButton! override func viewDidLoad() { super.viewDidLoad() welcomeView.textStorage?.setAttributedString(loadRTF("Welcome")) shouldShowAtStartupCheckbox.state = WelcomeViewController.shouldShowAtStartup ? .on : .off } @IBAction func openGettingStartedGuide(_: Any) { NSWorkspace.shared.open(onlineHelpURL.appendingPathComponent("getting-started")) } @IBAction func toggleShowAtStartup(_ sender: NSButton) { WelcomeViewController.shouldShowAtStartup = (sender.state == .on) } public static var shouldShowAtStartup: Bool { get { Settings.shared.showWelcomeScreenAtStartup } set { Settings.shared.showWelcomeScreenAtStartup = newValue } } } ShapeScript-1.6.14/Viewer/Mac/WhatsNew.rtf000066400000000000000000001534601450355336000202630ustar00rootroot00000000000000{\rtf1\ansi\ansicpg1252\cocoartf2639 \cocoatextscaling0\cocoaplatform0{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;\f1\fnil\fcharset0 HelveticaNeue-Bold;} {\colortbl;\red255\green255\blue255;\red0\green0\blue0;} {\*\expandedcolortbl;;\cssrgb\c0\c0\c0\cname textColor;} \paperw11900\paperh16840\margl1440\margr1440\vieww24140\viewh18420\viewkind0 \deftab720 \pard\pardeftab720\qc\partightenfactor0 \f0\fs50 \cf2 \expnd0\expndtw0\kerning0 What's New in ShapeScript?\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \f1\b\fs28 \cf2 ShapeScript 1.6.14 \'97 2023-09-23\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.18 (fixes crash when building with Xcode 15).\ \ \f1\b\fs28 \cf2 ShapeScript 1.6.13 \'97 2023-07-30\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed "Show Wireframe" menu item not updating correctly on iOS.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added error hint for misspelled else keyword.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added Value.errorDescription for clearer error messages.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed out of bounds crash in iOS source editor.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed some typesystem edge cases for optionals, unions and lists.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added checked angular types to help prevent mixed angle errors.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added regression tests for example shape files.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.15.\ \ \f1\b\fs28 \cf2 ShapeScript 1.6.12 \'97 2023-07-08\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where structured data was flattened when returned from a block or function.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Source editor on iOS no longer closes when shape file is reloaded.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Disabled double space period shortcut in iOS source editor.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed orthographic checkbox not updating on iOS.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added Icosahedron example project.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved camera control docs.\ \ \f1\b\fs28 \cf2 ShapeScript 1.6.11 \'97 2023-06-21\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where block options could clash with global functions of the same name.\ \ \f1\b\fs28 \cf2 ShapeScript 1.6.10 \'97 2023-06-12\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Removed Reddit community links.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed precedence issue with `point`/`curve` commands (introduced in 1.6.9).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed broken importing of external model file formats (introduced in 1.6.8).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Block options can now be set conditionally within `if` blocks.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Overrides to global constants and functions are now usable inside block invocations.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where local defines in a block invocation were mistaken for options.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 The `point.color` member now returns an empty tuple instead of an error if unset.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed occasional blank screen glitch when first opening a file.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed iOS camera menu not updating after camera is moved.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.14.\ \ \f1\b\fs28 \cf2 ShapeScript 1.6.9 \'97 2023-04-21\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed confusing function / operator precedence.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved scroll-to-cursor behavior in iOS source editor.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.13 (includes fix for cracking/holes issue).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added What's New in ShapeScript screen to iOS Viewer.\ \ \f1\b\fs28 \cf2 ShapeScript 1.6.8 \'97 2023-04-16\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved static type inference for import statements.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed type error for constant transform overrides.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Removed OpenGL support for High Sierra.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed range precision issue.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added Linux CLI support.\ \ \f1\b\fs28 \cf2 ShapeScript 1.6.7 \'97 2023-04-04\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `arc` command.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added vector algebra operators.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Setting unequal width/height no longer distorts corner radius for `roundrect` command.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `sign`, `dot`, `cross`, `length` and `normalize` functions.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added implicit casting between vector and size values.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Select Shape menu is now disabled when empty.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved argument error messages.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where modulo operator sometimes returned negative values.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug when mixing points and subpaths in a `path` command.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed retain cycle in iOS file dialog.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed potential crash in `selectCamera()` function.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Increased code sharing between Mac and iOS Viewer implementations.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.12.\ \ \f1\b\fs28 \cf2 ShapeScript 1.6.6 \'97 2023-03-25\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 The position and transform of mesh and path values can now be set as if they were a block.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Setting name on a block that returns a path no longer makes the result unusable in a builder.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Constants and property symbols are no longer called "function" in error messages.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Removed unhelpful "did you mean" suggestions when a valid symbol is used in wrong context.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved error description for numeric list type.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed various bugs in the iOS source editor.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped SVGPath to version 1.1.3.\ \ \f1\b\fs28 \cf2 ShapeScript 1.6.5 \'97 2023-03-02\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed performance regression in `GeometryType.bounds` when using lathe shapes.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed line number display in iOS source editor.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.11.\ \ \f1\b\fs28 \cf2 ShapeScript 1.6.4 \'97 2023-02-28\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 The `bounds` and `polygons` members now correctly take object transform into account.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 ShapeScript Viewer for iPad now supports multiple viewer/editor windows.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed some bugs and improved editing experience for source editor on iOS.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where iOS editor would sometimes close spontaneously while editing.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `shapescript:` URL scheme and improved URL handling.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.10.\ \ \f1\b\fs28 \cf2 ShapeScript 1.6.3 \'97 2023-01-31\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 iOS Viewer now supports editing `.shape` files directly inside the app.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `Edit > Select Shape` and `Clear Selection` menus in macOS viewer.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added selection hotkeys and VoiceOver support for macOS viewer.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed selection being cleared whenever geometry is refreshed.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed dynamic dark mode updates on iOS viewer.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed iOS split view bounds crash.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where camera hotkeys failed after reload.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed error overlay translucency.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed various member type bugs.\ \ \f1\b\fs28 \cf2 ShapeScript 1.6.2 \'97 2023-01-16\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved info panel display.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed twisted extrusion offset.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed `roundrect` detail level (previously 4x higher than intended).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed incorrect output when intersecting groups of meshes.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Empty scenes are no longer hidden if they contain debug geometry.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Scene now conforms to Equatable protocol.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed misleading error message for excess color arguments.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed spurious forward declaration error for options that shadow global define.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added automatic casting of hex strings to colors (useful for JSON data).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Made `.polygon` members available on all geometries, not just manually-created meshes.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Excluded source location from Geometry equality comparisons.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed vector member access on tuples containing string elements.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed vector member access on nested numeric tuples.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed color member access on tuples and strings.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed polygon member lookup on meshes.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed handling of blocks with optional children (e.g. `polygon`).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved symbol lookup performance.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.8.\ \ \f1\b\fs28 \cf2 ShapeScript 1.6.1 \'97 2023-01-02\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `twist` option to `extrude` command.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed inconsistent View menu options when switching between open documents.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.7.\ \ \f1\b\fs28 \cf2 ShapeScript 1.6.0 \'97 2022-12-27\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added hull command for creating convex hulls from points, paths or other meshes.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added mesh command for manually creating meshes from individual polygons.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `axisAligned` property for controlling extrusion along paths.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added support for importing plain text files as a string and JSON files as a tuple.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added modulo operator for calculating remainder of division.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Significantly overhauled type system to support lists, unions and objects.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved static analysis, allowing type errors to be caught earlier.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved handling of background property scope.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 The min and max functions are now variadic (accept any number of arguments).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `split()`, `join()` and `trim()` functions for working with strings.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added automatic conversion of strings to numbers or boolean values where applicable.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `string.lines`, `.words` and `.characters` members.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `tuple.count`, `.last`, `.allButFirst` and `.allButLast` members.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed member lookup on numeric literals.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where material of imported shapes could not be overridden.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Background and texture can now be cleared by setting them to an empty string.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Logging geometry values to console now produces more useful output.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added proper logging for bounds and point values.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `fileTimedOut` and `circularImport` errors.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Refactored and improved error handling.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Renamed `ImportError` to `ProgramError`.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Raised minimum Euclid version to 0.6.6.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added Spirals example.\ \ \f1\b\fs28 \cf2 ShapeScript 1.5.14 \'97 2022-12-18\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added support for C-style block comments using `/* ... */` syntax.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where source file could incorrectly be inferred as UTF-7, causing parsing errors.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed issue where error messages would sometimes suggest the same identifier you already used.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved script execution performance by making source location lookup lazy.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.6.\ \ \f1\b\fs28 \cf2 ShapeScript 1.5.13 \'97 2022-12-08\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed crash when importing external `.shape` files.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 When error occurs in imported file, Cmd-E now opens that file instead of the main file.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.5.\ \ \f1\b\fs28 \cf2 ShapeScript 1.5.12 \'97 2022-11-21\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.4 (includes fixes for single-point path crash and path extrusions).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed parsing ambiguity in tuple expressions where identifier is followed by opening paren.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved bounds accuracy for circle-based shapes.\ \ \f1\b\fs28 \cf2 ShapeScript 1.5.11 \'97 2022-11-06\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed source code view on iOS.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed loading of external iCloud assets when file has not been downloaded.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 ShapeScript now monitors changes to external textures, fonts and imports on iOS.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Original topology for imported models is now preserved, instead of being triangulated.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved error messaging for file imports.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.2.\ \ \f1\b\fs28 \cf2 ShapeScript 1.5.10 \'97 2022-10-29\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved documentation for strings and trigonometry functions.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed empty bounds returned for `lathe`, `fill`, `extrude` and `loft` shapes.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed runtime warning about postscript font names.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed range bug in error formatting logic.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed inconsistent handling of functions that return tuples.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed inconsistent member lookup handling.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.0.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed Linux build warnings.\ \ \f1\b\fs28 \cf2 ShapeScript 1.5.9 \'97 2022-10-06\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed getting started link in Welcome modal.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Removed bad suggestions from editors list.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added iOS target for ShapeScript Viewer.\ \ \f1\b\fs28 \cf2 ShapeScript 1.5.8 \'97 2022-10-03\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added shared `SCNGeometry` cache, significantly improving performance for scenes with repeated objects.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Significantly reduced time to calculate mesh stats (as displayed in object info window).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Optimized source line lookup that affected script execution performance.\ \ \f1\b\fs28 \cf2 ShapeScript 1.5.7 \'97 2022-09-26\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where a `define` inside a block couldn't refer to `option` value.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug when parsing expressions ending in a `not` identifier.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where view unexpectedly jumped to custom camera after reload.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.30.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped LRUCache to version 1.0.3.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped SVGPath to version 1.1.1.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added iOS help pages.\ \ \f1\b\fs28 \cf2 ShapeScript 1.5.6 \'97 2022-09-06\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added ability to copy the current camera configuration for easy creation of custom cameras.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved logic for when camera position is reset after document update or window resize.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where custom cameras did not correctly inherit the document background.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where scale was doubled for custom orthographic cameras.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed live updating of document background when switching between light and dark mode.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed race condition in view rendering sometimes resulting in a blank scene.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed member suggestions for empty tuple.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Renamed `Geometry(scnNode:)` initializer for consistency.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Deprecated `Geometry.cameras` accessor.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.29.\ \ \f1\b\fs28 \cf2 ShapeScript 1.5.5 \'97 2022-08-11\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Significantly improved performance for bulk fill/extrude operations (e.g. text).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed camera position continuously being reset in ShapeScript Viewer while loading.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added indicator to Camera menu when camera has been moved.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.28.\ \ \f1\b\fs28 \cf2 ShapeScript 1.5.4 \'97 2022-07-25\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed setting font inside a `text` command.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved error messages for missing block arguments.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Multiple arguments passed to `text` command are now treated as single coalesced string.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Extruding along a path now more reliably produces watertight output.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed parsing of tuple statements starting with constant.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed parsing of a prefix minus immediately followed by decimal point.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Increased detail multiplier for `svgpath` command to match path.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed `svgpath` crash when missing `M` command after `Z`.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed camera clipping issue when resizing objects.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.26.\ \ \f1\b\fs28 \cf2 ShapeScript 1.5.3 \'97 2022-07-03\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 The `loft` command now supports joining shapes with unequal numbers of sides or points.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 The `fill`, `lathe` and `extrude` commands now more reliably produce watertight output.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed incorrect polygon/triangle counts in model info.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed line numbers in selected object info.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.25.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed some flaky tests.\ \ \f1\b\fs28 \cf2 ShapeScript 1.5.2 \'97 2022-05-28\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where path lines were drawn too thin for large models.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved error messaging for invalid use of option.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed suggestions for misspelled commands.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.21.\ \ \f1\b\fs28 \cf2 ShapeScript 1.5.1 \'97 2022-05-07\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Add implicit `detail/smoothing`, `color/texture`, `position/orientation/size` and `font` options to custom blocks .\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Logical `and/or` expressions now short circuit (don't evaluate their second parameter unless needed).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added support for creating `MaterialProperty` from `SCNMaterials` using `NS/UIImage`.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed setting camera position on locked documents (such as the Example projects).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added slightly stronger type safety when calling commands.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed axes contrast when using per-camera backgrounds.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed font inheritance for user-defined blocks.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added custom fonts to model info display.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added USDZ to list of supported export types.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved iOS compatibility.\ \ \f1\b\fs28 \cf2 ShapeScript 1.5.0 \'97 2022-04-29\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added support for custom light sources using the `light` command.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added user-defined functions/commands (previously only blocks could be defined).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 The width and/or height for exported images can now be set on a per-camera basis.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `polygon` command for more easily creating regular polygon paths.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 The scene background can now be set individually for each camera.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Using `position`, `orientation` and `size` inside a `path` now works again (broken since 1.4.4).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Using `rnd` command in option default expressions no longer has a knock-on effect on the sequence.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Options can now reference local constants in their default values.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Material brightness logic used in Viewer app is now part of the ShapeScript core.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Using `wrapwidth` or `linespacing` text commands inside an `svgpath` block now raises an error.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed blank screen when scene contains empty `camera` node.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Removed `StatementType.block` case in favor of expression form.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed some bugs in path generation relating to point colors.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 The `OSColor` typealias is now private.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added SVGPath dependency.\ \ \f1\b\fs28 \cf2 ShapeScript 1.4.7 \'97 2022-04-14\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Camera is no longer reset on every reload.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed camera snapback if moved during initial model load.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `smoothing` command for controlling surface normal generation.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Disallowed used of `detail` and `font` commands in scopes where they have no effect.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 The `svgpath` command now works on Linux.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.20.\ \ \f1\b\fs28 \cf2 ShapeScript 1.4.6 \'97 2022-04-08\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed `svgpath` command (broken in 1.4.5).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where axes were rendered in the wrong color.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Watertight status is now displayed in object info panel.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 The `roundrect` command now works on Linux.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped LRUCache to version 1.0.3.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.18.\ \ \f1\b\fs28 \cf2 ShapeScript 1.4.5 \'97 2022-03-07\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added support for setting per-vertex colors in a path.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Font, text color and linespacing can now be specified per-line within a text block.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed underestimated bounds calculation for extrusion along a path.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Made logic for child count calculation more consistent.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.17.\ \ \f1\b\fs28 \cf2 ShapeScript 1.4.4 \'97 2022-01-21\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed infinite recursion crash when a shape file tries to import itself.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved error message when imported model file is not readable.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed assertion failure when evaluating imported block due to source confusion.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added stricter symbol checking in stdlib so, e.g. name can't be used inside a path.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug in viewer where examples always open in orthographic mode.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Imported gifs are now counted as textures rather than models in info panel.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Model type is now displayed correctly in info panel.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed some iOS compatibility issues.\ \ \f1\b\fs28 \cf2 ShapeScript 1.4.3 \'97 2021-12-25\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 ShapeScript will now attempt to ensure generated meshes are watertight by default.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed unintended behavior change with blocks returning multiple shapes (introduced in 1.3.7).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed precondition failure when calling a block from inside a `path` command.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Camera nodes are no longer included in object count in model info.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Handle repeated parameter lists without command tokens in `svgpath`.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added additional `svgpath` error handling.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.15.\ \ \f1\b\fs28 \cf2 ShapeScript 1.4.2 \'97 2021-12-10\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 The `svgpath` command now supports arc instructions ('A' and 'a').\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug in `svgpath` affecting absolute horizontal ('H') and vertical ('V') lines.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Save panel in viewer now adds `.shape` extension to file name if not present.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Made online documentation link logic more robust.\ \ \f1\b\fs28 \cf2 ShapeScript 1.4.1 \'97 2021-11-22\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where `along` property was ignored in `extrude` command.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed wireframe rendering mode in viewer.\ \ \f1\b\fs28 \cf2 ShapeScript 1.4.0 \'97 2021-11-03\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added user-defined cameras.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added boolean constants and operators.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added comparison operators (greater than, equals, etc).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `if`/`else` statements.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `assert` command.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved suggestions for mistyped operators.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Replaced range expression with separate `to` and `step` operators.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Failure to load an external model now displays an error instead of failing silently.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added distinct error type for invalid text escape sequences.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Simplified identifier expression representation.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Converted `option` keyword to contextual keyword.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `Geometry.worldTransform` property.\ \ \f1\b\fs28 \cf2 ShapeScript 1.3.10 \'97 2021-11-01\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 DAE files containing triangle strips or non-triangular polygons are now loaded correctly.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed empty Geometry names not being set to nil.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed broken footer links in help pages.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.14.\ \ \f1\b\fs28 \cf2 ShapeScript 1.3.9 \'97 2021-10-22\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added multiple camera options.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added orthographic view option.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Reorganized camera menu and keyboard shortcuts.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 View settings are now saved per-document instead of globally.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where camera would reset when toggling wireframe mode.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Documents now open in tabs automatically when tab bar is shown.\ \ \f1\b\fs28 \cf2 ShapeScript 1.3.8 \'97 2021-10-10\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `svgpath` command for creating paths using SVG-compatible syntax.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `bounds` member property for calculating dimensions of complex shapes.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `wrapwidth` and `linespacing` options for text.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved debug command behavior for children of CSG containers.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug when setting `background` color with a single number (e.g. `0` for black).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where only first expression argument was highlighted in a type-mismatch error.\ \ \f1\b\fs28 \cf2 ShapeScript 1.3.7 \'97 2021-09-26\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added debug command for highlighting invisible geometry.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Custom blocks can now return any value type, not just meshes or paths.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Infix expressions are now handled correctly when used in a statement position.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved type mismatch error messages for block parameters.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 String values are no longer nullable and empty strings are handled more correctly.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Nested command calls without parentheses are now handled correctly.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved type reporting for single-value tuples in error messages.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Updated print behavior to better match text interpolation.\ \ \f1\b\fs28 \cf2 ShapeScript 1.3.6 \'97 2021-09-21\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added text interpolation, allowing text strings to be constructed dynamically.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Import and textures file paths can now be constructed dynamically.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Alpha component of colors can now be overridden with a convenient syntax.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Removed confusing references to "string" and "identifier" from error messages.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added ability to load text fonts from a file name or path.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where font getter returned texture instead.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved help documentation.\ \ \f1\b\fs28 \cf2 ShapeScript 1.3.5 \'97 2021-09-19\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Numbers can now be used in text blocks.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug with times/divide operator associativity.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed default zoom level in viewer when axes are shown.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug in scene bounds calculation when children have a transform applied.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved error message for missing files specified by full path.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Limited maximum lineWidth when rendering paths.\ \ \f1\b\fs28 \cf2 ShapeScript 1.3.4 \'97 2021-09-17\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 The position/size/orientation options can now be used inside `text` blocks.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed parsing error when using inline expressions in loop range.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Unsupported string escape sequences are now treated as an error.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Command parameters are now included in assertion failure error highlighting.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug with sequential escape sequences in text.\ \ \f1\b\fs28 \cf2 ShapeScript 1.3.3 \'97 2021-09-14\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed crash when font is set to an empty string.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed incorrect suggestion of `option` for typos in contexts where it isn't available.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Print logging in a long/infinite loop no longer freezes UI.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Help index is now generated automatically.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved help for colors and text.\ \ \f1\b\fs28 \cf2 ShapeScript 1.3.2 \'97 2021-09-13\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added stack overflow detection, preventing crashes due to infinite recursion.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added support for underscores in identifiers.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Empty and single-element tuples are now permitted (useful in loops and data structures).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Looping over vector, size and color values is no longer permitted (only tuples and ranges).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Geometry `Hashable` implementation is now based on value rather than reference.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to 0.5.12, which fixes the getters for `Rotation.pitch`/`yaw`/`roll`.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Shape position/orientation/size are now read/write properties instead of setters.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Wireframes are now rendered with polygons instead of lines on x86, for better quality.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added open/create document prompt when opening app.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved Welcome view.\ \ \f1\b\fs28 \cf2 ShapeScript 1.3.1 \'97 2021-09-07\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Disabled axes by default and added instructions for enabling to help.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added ordinal members for accessing arbitrary tuple elements.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed rendering bug when using negative scale values.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where functions were able to access local variables of the caller.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed dot operator (member lookup) chaining.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added documentation for tuples and structured data access.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to 0.5.11, which includes several performance optimizations.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed issue where console would not clear correctly when reloading.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed hint message when missing closing brace.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `colour` and `grey` as aliases for `color` and `gray`.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Made stroke line width proportional to the scene size.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved logic for default camera zoom level.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Increase antialiasing quality in viewer.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Updated screenshots and fixed bugs in help examples.\ \ \f1\b\fs28 \cf2 ShapeScript 1.3.0 \'97 2021-08-31\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added new standalone range expression with optional `step` value.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 For loops can now be used with either range or tuple/vector values.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added support for hex color literals.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added standard color names as constants.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Inherited standard library symbols no longer override user-defined constants.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 All ShapeScript value types now conform to `AnyHashable`.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Removed `CustomStringConvertible` conformance from `GeometryType` as it made debugging harder.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Renamed `StatementType.node` to `StatementType.block`, since the term was confusing.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to 0.5.10, which includes several bug fixes and features.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed crash when trying to access vector or color members from a non-numeric tuple.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed crash when trying to color members from a tuple with more than 4 elements.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Accessing vector members on a tuple with more than 3 elements now raises an error.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Made unchecked Color initializer private.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Removed SceneViewController.snapshot() method.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added option to show axes in ShapeScript Viewer.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Wireframe view option in viewer is now rendered using lines instead of SceneKit Debug option.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Made wireframe view option persistent across app launches.\ \ \f1\b\fs28 \cf2 ShapeScript 1.2.4 \'97 2021-08-25\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed a crash when logging large integer values.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where negative numbers would be logged as zero when using the print command.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved formatting of logged numeric values generally.\ \ \f1\b\fs28 \cf2 ShapeScript 1.2.3 \'97 2021-08-24\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Enabled parenthesized expressions to span multiple lines.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved error message when assigning multiple values to single type.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed assigning color literal value to background without parens.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added Color initializers.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added SceneViewController.snapshot() method.\ \ \f1\b\fs28 \cf2 ShapeScript 1.2.2 \'97 2021-08-24\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Blocks that accept child values can now be called without braces around them.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed confusing error messages caused by mesh commands being unavailable in certain scopes.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Made script evaluation cancellable in case of infinite iteration or recursion.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug in Viewer app where view fails to refresh after loading geometry.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved and simplified error handling logic.\ \ \f1\b\fs28 \cf2 ShapeScript 1.2.1 \'97 2021-08-19\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed crash when `for` loop end index < start index.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved `print` log output, especially for arrays/tuples and nested values.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added `Loggable` protocol for stringifying values logged using the ShapeScript `print` command.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Replaced `TokenType.description` with `TokenType.errorDescription` to aid debugging.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Text now supports using \n for line-breaks (this was documented as working, but never implemented).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed confusing error message when first value of tuple matches expected type.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed nonsensical error message when a command is used in an expression.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to 0.5.9, which includes fixes for extruded paths.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Extruding along a compound path now forms a union between the resultant shapes.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed typos and improved help documentation.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed member lookup precedence.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved test coverage.\ \ \f1\b\fs28 \cf2 ShapeScript 1.2.0 \'97 2021-08-15\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved progressive rendering logic, reducing wait before seeing first results in viewer.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Geometry cache is now limited to ~1GB per open document instead of being unbounded.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Cached geometry is now cleared when document is closed instead of persisting for app lifetime.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Invalid font names now produce an error instead of silently falling back to Helvetica.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Paths are now drawn in white when background is set to a dark color or texture.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed an index out-of-bounds crash in the Levenshtein distance function.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to 0.5.8, which includes several bug fixes.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Renamed `GeometryType.none` to the more descriptive `GeometryType.group`.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Made `Geometry.mesh` and `Geometry.associatedData` properties thread-safe using `NSLock`.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Removed `Scene.deepCopy()` and `Geometry.deepCopy()` methods as instances are now thread-safe.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Moved selection logic out of `ShapeScriptLib` and into Viewer example application.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug in Viewer where geometries would be deselected during progressive loading.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added LRUCache dependency.\ \ \f1\b\fs28 \cf2 ShapeScript 1.1.6 \'97 2021-08-04\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Paths are now drawn using polygons strips, which looks sharper and renders more consistently.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Made further improvements to cancelling in-progress rendering when reloading a file.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to 0.5.4, which includes several bug fixes and performance improvements.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved performance when rendering scenes with nested CSG operations or groups.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed rendering and bounds calculation of non-planar extruded shapes.\ \ \f1\b\fs28 \cf2 ShapeScript 1.1.5 \'97 2021-08-02\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Info window in ShapeScript Viewer no longer includes imported models in texture count.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed a regression in ShapeScript Viewer 1.1.4 where error message wouldn't refresh correctly on reload.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved error messaging for errors that occur in an imported file.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Reloading a partially-rendered scene should now terminate the rendering more quickly, freeing up CPU.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Rendering is now cancelled when document is closed (previously it continued in background).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved responsiveness of incremental rendering for complex scenes.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Program `source` and `statements` properties are now public .\ \ \f1\b\fs28 \cf2 ShapeScript 1.1.4 \'97 2021-07-31\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Increased time precision of document file monitoring in ShapeScript Viewer app.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved threading a progress logging in ShapeScript Viewer app.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added Linux support for ShapeScriptLib (excluding rendering and text functions).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Made static color constants immutable.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid version to 0.5.3.\ \ \f1\b\fs28 \cf2 ShapeScript 1.1.3 \'97 2021-07-10\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed assertion failure if a parsing error occurs at the last character in the `.shape` file.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug in Path plane calculation that could result in corrupted extrusion shapes.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed a tessellation bug affecting anti-clockwise polygons.\ \ \f1\b\fs28 \cf2 ShapeScript 1.1.2 \'97 2021-07-03\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed bug where CRLF was treated as two separate linebreaks, resulting in a crash.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Error column indicator is now better aligned when code contains wide characters (e.g. emoji).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed inverted black/white squares on chessboard example.\ \ \f1\b\fs28 \cf2 ShapeScript 1.1.1 \'97 2021-06-26\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed operator associativity (addition/subtraction were previously right-associative).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Performing CSG operations on complex geometry no longer causes a stack overflow.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid version to 0.4.5.\ \ \f1\b\fs28 \cf2 ShapeScript 1.1.0 \'97 2021-04-08\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added support for background colors and images.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added debug console.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Improved ShapeScript error handling.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Object names are now included in info popup.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Upgraded project to Swift 5.1.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid version to 0.4.0.\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Fixed Xcode warnings.\ \ \f1\b\fs28 \cf2 ShapeScript 1.0.1 \'97 2020-09-03\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 Added iOS and tvOS support to ShapeScript framework (Viewer app is still macOS only).\ \ \'95 \f0\b0 \expnd0\expndtw0\kerning0 Bumped Euclid version to 0.3.5.\ \ \f1\b\fs28 \cf2 ShapeScript 1.0.0 \'97 2020-09-02\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \'95 \f0\b0 \expnd0\expndtw0\kerning0 First release.\ \ }ShapeScript-1.6.14/Viewer/Mac/WhatsNewViewController.swift000066400000000000000000000006521450355336000235150ustar00rootroot00000000000000// // WhatsNewViewController.swift // ShapeScript App // // Created by Nick Lockwood on 27/04/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import Cocoa class WhatsNewViewController: NSViewController { @IBOutlet private var whatsNewView: NSTextView! override func viewDidLoad() { super.viewDidLoad() whatsNewView.textStorage?.setAttributedString(loadRTF("WhatsNew")) } } ShapeScript-1.6.14/Viewer/Mac/WindowController.swift000066400000000000000000000005231450355336000223660ustar00rootroot00000000000000// // WindowController.swift // ShapeScript Viewer // // Created by Nick Lockwood on 19/10/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // import AppKit class WindowController: NSWindowController { override func newWindowForTab(_ sender: Any?) { NSDocumentController.shared.openDocument(sender) } } ShapeScript-1.6.14/Viewer/Shared/000077500000000000000000000000001450355336000165035ustar00rootroot00000000000000ShapeScript-1.6.14/Viewer/Shared/Axes.swift000066400000000000000000000070271450355336000204670ustar00rootroot00000000000000// // Axes.swift // ShapeScript Viewer // // Created by Nick Lockwood on 23/08/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // import Euclid import SceneKit import ShapeScript struct Axes { let geometry: Geometry init( scale: Double, camera: Camera, background: MaterialProperty?, backgroundColor: Color? ) { let textScale = 0.1 let distance = 1 + textScale let color = backgroundColor ?? .gray let background = camera.background ?? background let brightness = background?.brightness(over: color) ?? color.brightness let lineColor = brightness > 0.5 ? Color.black : .white let material = Material(color: lineColor) geometry = Geometry(transform: .scale(scale), children: [ Geometry(type: .path(.line(-.unitX, .unitX, color: lineColor))), Geometry( label: "+X", offset: .unitX * distance, rotation: camera.orientation, scale: textScale, material: material ), Geometry( label: "-X", offset: .unitX * -distance, rotation: camera.orientation, scale: textScale, material: material ), Geometry(type: .path(.line(-.unitY, .unitY, color: lineColor))), Geometry( label: "+Y", offset: .unitY * distance, rotation: camera.orientation, scale: textScale, material: material ), Geometry( label: "-Y", offset: .unitY * -distance, rotation: camera.orientation, scale: textScale, material: material ), Geometry(type: .path(.line(-.unitZ, .unitZ, color: lineColor))), Geometry( label: "+Z", offset: .unitZ * distance, rotation: camera.orientation, scale: textScale, material: material ), Geometry( label: "-Z", offset: .unitZ * -distance, rotation: camera.orientation, scale: textScale, material: material ), ]) _ = geometry.build { true } var options = Scene.OutputOptions.default options.lineColor = lineColor geometry.scnBuild(with: options) } } extension SCNNode { convenience init(_ axes: Axes) { self.init(axes.geometry) } } private extension Geometry { convenience init( type: GeometryType = .group, transform: Transform = .identity, material: Material = .default, smoothing: Angle? = nil, children: [Geometry] = [] ) { self.init( type: type, name: nil, transform: transform, material: material, smoothing: smoothing, children: children, sourceLocation: nil ) } convenience init( label: String, offset: Vector, rotation: Rotation, scale: Double, material: Material ) { let paths = Path.text(label) self.init(type: .fill(paths), transform: Transform( offset: offset - paths.bounds.size.rotated(by: rotation) * (scale / 2), rotation: rotation, scale: Vector(size: [scale]) ), material: material) } } ShapeScript-1.6.14/Viewer/Shared/Camera.swift000066400000000000000000000042351450355336000207550ustar00rootroot00000000000000// // Camera.swift // ShapeScript // // Created by Nick Lockwood on 19/10/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // import Euclid import ShapeScript struct CameraType: RawRepresentable, Hashable, Codable { let rawValue: String } extension CameraType: CaseIterable { static let front = Self(rawValue: "Front") static let back = Self(rawValue: "Back") static let left = Self(rawValue: "Left") static let right = Self(rawValue: "Right") static let top = Self(rawValue: "Top") static let bottom = Self(rawValue: "Bottom") static var allCases = [front, back, left, right, top, bottom] static func custom(_ index: Int) -> CameraType { Self(rawValue: index > 0 ? "Custom \(index + 1)" : "Custom") } } struct Camera { var type: CameraType var geometry: Geometry? } extension Camera: Equatable { static let `default` = Self(type: .front) init(type: CameraType) { self.type = type } init(geometry: Geometry, index: Int) { self.geometry = geometry type = .custom(index) } var name: String { geometry?.name ?? type.rawValue } var direction: Vector { Vector(0, 0, -1).rotated(by: orientation) } var orientation: Rotation { switch type { case .front: return .identity case .back: return .yaw(.pi) case .left: return .yaw(.halfPi) case .right: return .yaw(-.halfPi) case .top: return .pitch(.halfPi) case .bottom: return .pitch(-.halfPi) default: return geometry?.transform.rotation ?? .identity } } var hasPosition: Bool { settings?.position != nil } var hasOrientation: Bool { settings?.orientation != nil } var hasScale: Bool { settings?.scale != nil } var background: MaterialProperty? { settings?.background } var fov: Angle? { settings?.fov } var isOrthographic: Bool? { fov.map { $0 <= .zero } } var settings: ShapeScript.Camera? { if case let .camera(settings) = geometry?.type { return settings } return nil } } ShapeScript-1.6.14/Viewer/Shared/Document+EvaluationDelegate.swift000066400000000000000000000047521450355336000251050ustar00rootroot00000000000000// // Document+EvaluationDelegate.swift // ShapeScript Viewer // // Created by Nick Lockwood on 10/08/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import Foundation import SceneKit import ShapeScript extension Document: EvaluationDelegate { func resolveURL(for path: String) -> URL { let url = URL(fileURLWithPath: path, relativeTo: fileURL) linkedResources.insert(url) if let resolvedURL = resolveBookMark(for: url) { if resolvedURL.path != url.path { // File was moved, so return the original url (which will throw a file-not-found error) // TODO: we could handle this more gracefully by reporting that the file was moved return url } return resolvedURL } else { bookmarkURL(url) } return url } func importGeometry(for url: URL) throws -> Geometry? { var isDirectory: ObjCBool = false _ = FileManager.default.fileExists(atPath: url.path, isDirectory: &isDirectory) var url = url if isDirectory.boolValue { let newURL = url.appendingPathComponent(url.lastPathComponent) if FileManager.default.fileExists(atPath: newURL.path) { url = newURL } } let scene = try SCNScene(url: url, options: [ .flattenScene: false, .createNormalsIfAbsent: true, .convertToYUp: true, .preserveOriginalTopology: true, ]) return try Geometry(scene.rootNode) } func debugLog(_ values: [AnyHashable]) { let line: String if values.count == 1 { line = String(logDescriptionFor: values[0] as Any) } else { var spaceNeeded = false line = values.compactMap { switch $0 { case let string as String: spaceNeeded = false return string case let value: let string = String(nestedLogDescriptionFor: value as Any) defer { spaceNeeded = true } return spaceNeeded ? " \(string)" : string } }.joined() } Swift.print(line) DispatchQueue.main.async { [weak self] in if let viewController = self?.viewController { viewController.showConsole = true viewController.appendLog(line + "\n") } } } } ShapeScript-1.6.14/Viewer/Shared/Document+ModelInfo.swift000066400000000000000000000113011450355336000232030ustar00rootroot00000000000000// // Document+ModelInfo.swift // Viewer // // Created by Nick Lockwood on 21/01/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import Euclid #if canImport(UniformTypeIdentifiers) import UniformTypeIdentifiers #endif extension URL { var isImageFile: Bool { #if canImport(UniformTypeIdentifiers) if #available(macOS 11.0, iOS 14.0, watchOS 7.0, tvOS 14.0, *) { let contentType = try? resourceValues( forKeys: [.contentTypeKey] ).contentType ?? UTType( filenameExtension: pathExtension ) return contentType?.conforms(to: .image) ?? false } #endif return [ "webp", "png", "gif", "jpg", "jpeg", "jpe", "jif", "jfif", "jfi", "tiff", "tif", "psd", "raw", "arw", "cr2", "nrw", "k25", "bmp", "dib", "heif", "heic", "ind", "indd", "indt", "jp2", "j2k", "jpf", "jpx", "jpm", "mj2", ].contains(pathExtension.lowercased()) } var isFontFile: Bool { #if canImport(UniformTypeIdentifiers) if #available(macOS 11.0, iOS 14.0, watchOS 7.0, tvOS 14.0, *) { let contentType = try? resourceValues( forKeys: [.contentTypeKey] ).contentType ?? UTType( filenameExtension: pathExtension ) return contentType?.conforms(to: .font) ?? false } #endif // NOTE: these values are also hard-coded in EvaluationContext return [".otf", ".ttf", ".ttc"].contains(pathExtension.lowercased()) } } extension Document { var importedFileCount: Int { linkedResources.filter { !$0.isImageFile && !$0.isFontFile }.count } var textureCount: Int { linkedResources.filter { $0.isImageFile }.count } var fontCount: Int { linkedResources.filter { $0.isFontFile }.count } var modelInfo: String { // Geometry info let geometry = selectedGeometry ?? self.geometry let polygons: String let triangles: String let dimensions: String let watertight: String if loadingProgress?.didSucceed ?? true { polygons = String(geometry.polygonCount) triangles = String(geometry.triangleCount) dimensions = geometry.exactBounds(with: geometry.worldTransform).size.logDescription watertight = String(geometry.isWatertight) } else { polygons = "calculating…" triangles = "calculating…" dimensions = "calculating…" watertight = "calculating…" } if let selectedGeometry = selectedGeometry { var locationString = "" if let location = selectedGeometry.sourceLocation { locationString = "\nDefined on line \(location.line)" if let url = location.file { locationString += " in '\(url.lastPathComponent)'" } } let nameString = selectedGeometry.name.flatMap { $0.isEmpty ? nil : "Name: \($0)" } let isMesh = selectedGeometry.hasMesh let childCount = selectedGeometry.childCount return [ nameString, "Type: \(selectedGeometry.nestedLogDescription)", childCount == 0 ? nil : "Children: \(childCount)", triangles == polygons ? nil : "Polygons: \(polygons)", isMesh ? "Triangles: \(triangles)" : nil, geometry.bounds.isEmpty ? nil : "Dimensions: \(dimensions)", isMesh ? "Watertight: \(watertight)" : nil, // "Size: \(selectedGeometry.transform.scale.logDescription)", // "Position: \(selectedGeometry.transform.offset.logDescription)", // "Orientation: \(selectedGeometry.transform.rotation.logDescription)", locationString, ].compactMap { $0 }.joined(separator: "\n") } let objectCount = geometry.objectCount let hasMeshes = geometry.hasMesh return [ "Objects: \(objectCount)", triangles == polygons ? nil : "Polygons: \(polygons)", hasMeshes ? "Triangles: \(triangles)" : nil, geometry.bounds.isEmpty ? nil : "Dimensions: \(dimensions)", hasMeshes ? "Watertight: \(watertight)" : nil, "", importedFileCount == 0 ? nil : "Imports: \(importedFileCount)", textureCount == 0 ? nil : "Textures: \(textureCount)", fontCount == 0 ? nil : "Fonts: \(fontCount)", ].compactMap { $0 }.joined(separator: "\n") } } ShapeScript-1.6.14/Viewer/Shared/Document+Sandbox.swift000066400000000000000000000047141450355336000227370ustar00rootroot00000000000000// // Document+Sandbox.swift // Viewer // // Created by Nick Lockwood on 20/01/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import Foundation extension Document { var linkedResources: Set { get { fileMonitor?.linkedResources ?? [] } set { fileMonitor?.linkedResources = newValue } } var securityScopedResources: Set { get { fileMonitor?.securityScopedResources ?? [] } set { fileMonitor?.securityScopedResources = newValue } } func clearBookmarks() { UserDefaults.standard.removeObject(forKey: "SandboxBookmarks") } var bookmarks: [String: Data] { set { UserDefaults.standard.set(newValue, forKey: "SandboxBookmarks") } get { UserDefaults.standard.dictionary(forKey: "SandboxBookmarks") as? [String: Data] ?? [:] } } func bookmarkURL(_ url: URL) { _ = accessSecurityScopedURL(url) // Create an app-scoped bookmark for the selected file or folder if let data = try? url.bookmarkData( options: [], includingResourceValuesForKeys: nil, relativeTo: nil ) { bookmarks[url.absoluteString] = data } } func accessSecurityScopedURL(_ resolvedURL: URL) -> Bool { if securityScopedResources.contains(resolvedURL) { return true } else if resolvedURL.startAccessingSecurityScopedResource() { securityScopedResources.insert(resolvedURL) return true } return false } func resolveBookMark(for url: URL) -> URL? { let path = url.absoluteString guard let data = bookmarks[path] else { guard !url.pathExtension.isEmpty, let directoryURL = resolveBookMark(for: url.deletingLastPathComponent()) else { return nil } let resolvedURL = directoryURL.appendingPathComponent(url.lastPathComponent) return accessSecurityScopedURL(resolvedURL) ? resolvedURL : nil } var isStale = false guard let resolvedURL = try? URL( resolvingBookmarkData: data, options: .withoutUI, relativeTo: nil, bookmarkDataIsStale: &isStale ), accessSecurityScopedURL(resolvedURL) else { return nil } if isStale { bookmarkURL(resolvedURL) } return resolvedURL } } ShapeScript-1.6.14/Viewer/Shared/Document+View.swift000066400000000000000000000243261450355336000222540ustar00rootroot00000000000000// // Document+View.swift // ShapeScript Viewer // // Created by Nick Lockwood on 12/08/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import Foundation import SceneKit import ShapeScript extension Document { var isEditable: Bool { let fileURL: URL? = fileURL return fileURL.map { FileManager.default.isWritableFile(atPath: $0.path) && !$0.path.hasPrefix(Bundle.main.bundlePath) } ?? false } var isAccessError: Bool { error?.accessErrorURL != nil } var errorURL: URL? { let fileURL: URL? = self.fileURL return fileURL.flatMap { error?.shapeFileURL(relativeTo: $0) } } var selectedGeometry: Geometry? { viewController?.selectedGeometry } var showWireframe: Bool { get { settings.value(for: #function, in: self) ?? false } set { settings.set(newValue, for: #function, in: self) rerender() } } var showAxes: Bool { get { settings.value(for: #function, in: self) ?? false } set { settings.set(newValue, for: #function, in: self) updateViews() } } var isOrthographic: Bool { get { settings.value(for: #function, in: self) ?? false } set { settings.set(newValue, for: #function, in: self) updateViews() } } var camera: Camera { get { let type: CameraType? = settings.value(for: #function, in: self) return cameras.first(where: { $0.type == type }) ?? .default } set { settings.set(newValue.type, for: #function, in: self) updateViews() } } var cameraHasMoved: Bool { viewController?.cameraHasMoved ?? false } func cameraGeometry(for scnView: SCNView) -> Geometry? { guard let scnCameraNode = scnView.pointOfView, let geometry = try? Geometry(scnCameraNode), case var .camera(camera) = geometry.type else { return nil } let contentsScale = scnView.contentScaleFactor camera.width = Double(scnView.frame.width * contentsScale) camera.height = Double(scnView.frame.height * contentsScale) camera.background = self.camera.background return Geometry( type: .camera(camera), name: self.camera.geometry?.name, transform: geometry.transform, material: .default, smoothing: nil, children: [], sourceLocation: nil ) } func cameraConfig(for scnView: SCNView) -> String? { cameraGeometry(for: scnView).logDescription } func rerender() { guard let loadingProgress = loadingProgress, loadingProgress.didSucceed else { rerenderRequired = true return } let camera = self.camera let backgroundColor = Color(Self.backgroundColor) let showWireframe = self.showWireframe rerenderRequired = false loadingProgress.dispatch { progress in if case let .success(scene) = progress.status, !scene.children.isEmpty { progress.setStatus(.partial(scene)) scene.scnBuild(with: scene.outputOptions( for: camera.settings, backgroundColor: backgroundColor, wireframe: showWireframe )) progress.setStatus(.success(scene)) } } } func updateCameras() { let customCameras = scene?.cameras ?? [] if !customCameras.isEmpty || loadingProgress?.didSucceed != false { let oldCameras = cameras cameras = CameraType.allCases.map { Camera(type: $0) } + customCameras.enumerated().map { i, geometry in Camera(geometry: geometry, index: i) } if !oldCameras.isEmpty { var didUpdateCamera = false for (old, new) in zip(oldCameras, cameras) where old.type != new.type || old.settings != new.settings { camera = new didUpdateCamera = true break } if !didUpdateCamera, cameras.count > oldCameras.count { camera = cameras[oldCameras.count] } } } } func selectCamera(at index: Int) -> Bool { guard cameras.indices.contains(index) else { return false } let camera = cameras[index] if camera == self.camera { updateViews() viewController?.resetCamera() } else { self.camera = camera } return true } func updateViews() { guard let viewController = viewController else { return } viewController.isLoading = (loadingProgress?.inProgress == true) viewController.background = camera.background ?? scene?.background viewController.geometry = geometry viewController.errorMessage = errorMessage viewController.showAccessButton = (errorMessage != nil && isAccessError) viewController.showAxes = showAxes viewController.isOrthographic = isOrthographic viewController.camera = camera } func load(_ data: Data, fileURL: URL) throws { var nsString: NSString? _ = NSString.stringEncoding( for: data, encodingOptions: [ .suggestedEncodingsKey: [String.Encoding.utf8.rawValue], .likelyLanguageKey: "en", ], convertedString: &nsString, usedLossyConversion: nil ) guard let input = nsString as String? else { throw RuntimeErrorType.fileParsingError( for: fileURL.lastPathComponent, at: fileURL, message: """ The file '\(fileURL.lastPathComponent)' couldn’t be opened because the text \ encoding of its contents can’t be determined. """ ) } if input != sourceString { sourceString = input viewController?.updateModals() } else if viewController != nil { // Trigger reload anyway in case imported file has changed didUpdateSource() } } func didUpdateSource() { if let progress = loadingProgress, progress.inProgress { Swift.print("[\(progress.id)] cancelling...") progress.cancel() } let camera = self.camera let showWireframe = self.showWireframe let input = sourceString ?? "" loadingProgress = LoadingProgress { [weak self] status in guard let self = self else { return } switch status { case .waiting: if let viewController = self.viewController { if input != self.sourceString { self.didUpdateSource() return } viewController.showConsole = false viewController.clearLog() } case let .partial(scene), let .success(scene): self.errorMessage = nil self.error = nil self.scene = scene if case .success = status, self.rerenderRequired { self.rerender() } case let .failure(error): self.error = error self.errorMessage = error.message(with: input) self.updateViews() case .cancelled: break } } loadingProgress?.dispatch { [cache] progress in func logCancelled() -> Bool { if progress.isCancelled { Swift.print("[\(progress.id)] cancelled") return true } return false } let start = CFAbsoluteTimeGetCurrent() Swift.print("[\(progress.id)] starting...") if logCancelled() { return } let program = try parse(input) let parsed = CFAbsoluteTimeGetCurrent() Swift.print(String(format: "[\(progress.id)] parsing: %.2fs", parsed - start)) if logCancelled() { return } let scene = try evaluate(program, delegate: self, cache: cache, isCancelled: { progress.isCancelled }) let evaluated = CFAbsoluteTimeGetCurrent() Swift.print(String(format: "[\(progress.id)] evaluating: %.2fs", evaluated - parsed)) if logCancelled() { return } // Clear errors and previous geometry progress.setStatus(.partial(.empty)) let minUpdatePeriod: TimeInterval = 0.1 var lastUpdate = CFAbsoluteTimeGetCurrent() - minUpdatePeriod let options = scene.outputOptions( for: camera.settings, backgroundColor: Color(Self.backgroundColor), wireframe: showWireframe ) _ = scene.build { if progress.isCancelled { return false } let time = CFAbsoluteTimeGetCurrent() if time - lastUpdate > minUpdatePeriod { Swift.print(String(format: "[\(progress.id)] rendering...")) scene.scnBuild(with: options) progress.setStatus(.partial(scene)) lastUpdate = time } return true } if logCancelled() { return } let done = CFAbsoluteTimeGetCurrent() Swift.print(String(format: "[\(progress.id)] geometry: %.2fs", done - evaluated)) scene.scnBuild(with: options) progress.setStatus(.success(scene)) let end = CFAbsoluteTimeGetCurrent() Swift.print(String(format: "[\(progress.id)] total: %.2fs", end - start)) } } } ShapeScript-1.6.14/Viewer/Shared/DocumentViewController+View.swift000066400000000000000000000146401450355336000251510ustar00rootroot00000000000000// // DocumentViewController+View.swift // ShapeScriptApp // // Created by Nick Lockwood on 09/09/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import Euclid import SceneKit import ShapeScript extension DocumentViewController { var showAccessButton: Bool { get { !grantAccessButton.isHidden } set { grantAccessButton.isHidden = !newValue errorTextView.backgroundColor = newValue ? OSColor(red: 0.4, green: 0.4, blue: 0.4, alpha: 1) : OSColor(red: 0.8, green: 0, blue: 0, alpha: 0.8) } } func makeCameraNode() -> SCNNode { let cameraNode = SCNNode() cameraNode.camera = SCNCamera() cameraNode.position = SCNVector3(0, 0, 1) cameraNode.camera?.zNear = 0.01 cameraNode.camera?.automaticallyAdjustsZRange = true cameraNode.camera?.usesOrthographicProjection = camera.isOrthographic ?? isOrthographic cameraNode.eulerAngles = SCNVector3(0, 0, 0) return cameraNode } var cameraHasMoved: Bool { scnView.pointOfView != cameraNode } var axesSize: Double { let bounds = geometry?.bounds ?? .empty let m = max(-bounds.min, bounds.max) return max(m.x, m.y, m.z) * 1.1 } var viewCenter: Vector { showAxes ? .zero : (geometry?.bounds ?? .empty).center } func resetView() { scnView.defaultCameraController.target = SCNVector3(viewCenter) scnView.pointOfView = cameraNode refreshView() } func refreshView() { renderTimer?.invalidate() scnView.rendersContinuously = true renderTimer = Timer.scheduledTimer(withTimeInterval: 0.1, repeats: false) { _ in self.scnView.rendersContinuously = false self.renderTimer = nil } } func refreshGeometry() { // clear scene scnScene.rootNode.childNodes.forEach { $0.removeFromParentNode() } guard let geometry = geometry else { scnView.allowsCameraControl = showAxes updateAxesAndCamera() resetView() return } // create geometry geometry.children.forEach { scnScene.rootNode.addChildNode(SCNNode($0)) } // restore selection selectGeometry(selectedGeometry?.scnNode) // update camera updateAxesAndCamera() scnView.allowsCameraControl = true scnView.autoenablesDefaultLighting = true if !cameraHasMoved { resetView() } else { refreshView() } } func selectGeometry(_ scnNode: SCNNode?) { selectedGeometry = geometry?.select(with: scnNode) } func refreshOrthographic() { let ortho = camera.isOrthographic ?? isOrthographic cameraNode.camera?.usesOrthographicProjection = ortho scnView.pointOfView?.camera?.usesOrthographicProjection = ortho refreshView() } func updateAxesAndCamera() { // Update axes axesNode?.removeFromParentNode() if showAxes { let axesNode = SCNNode(Axes( scale: axesSize, camera: camera, background: background, backgroundColor: Color(Document.backgroundColor) )) scnScene.rootNode.insertChildNode(axesNode, at: 0) self.axesNode = axesNode } // Update camera node let bounds = geometry?.bounds ?? .empty let axisScale = axesSize * 2.2 let size = bounds.size var distance, scale: Double let aspectRatio = Double(view.bounds.height / view.bounds.width) var offset = Vector(0, 0.000001, 0) // Workaround for SceneKit bug switch camera.type { case .front, .back: distance = max(size.x * aspectRatio, size.y) + bounds.size.z / 2 scale = max(size.x * aspectRatio, size.y, size.z * aspectRatio) case .left, .right: distance = max(size.z * aspectRatio, size.y) + bounds.size.x / 2 scale = max(size.x * aspectRatio, size.y, size.z * aspectRatio) case .top, .bottom: distance = max(size.x * aspectRatio, size.z) + bounds.size.y / 2 scale = max(size.x * aspectRatio, size.y * aspectRatio, size.z) offset = Vector(0, 0, 0.000001) default: distance = max(size.x * aspectRatio, size.y) + bounds.size.z / 2 scale = max(size.x * aspectRatio, size.y, size.z * aspectRatio) } if showAxes { distance = max(distance, axisScale) scale = max(scale, axisScale) } scale /= 1.8 let orientation: Rotation var position = viewCenter - camera.direction * distance + offset if let geometry = camera.geometry { orientation = geometry.worldTransform.rotation if camera.hasPosition { position = geometry.worldTransform.offset } if camera.hasScale { let v = geometry.worldTransform.scale scale = max(v.x, v.y, v.z) } } else { orientation = .identity } cameraNode.camera?.orthographicScale = scale cameraNode.position = SCNVector3(position) cameraNode.orientation = SCNQuaternion(orientation) if !camera.hasOrientation { cameraNode.look(at: SCNVector3(viewCenter)) } cameraNode.camera?.fieldOfView = CGFloat(camera.fov?.degrees ?? 60) cameraNode.camera?.usesOrthographicProjection = camera.isOrthographic ?? isOrthographic } } extension Geometry { func select(with scnNode: SCNNode?) -> Geometry? { let isSelected = (scnNode != nil && self.scnNode === scnNode) if isSelected { let g = scnGeometry.copy() as! SCNGeometry g.materials = scnGeometry.materials.map { let material = $0.copy() as! SCNMaterial material.emission.contents = OSColor.red material.multiply.contents = OSColor(red: 1, green: 0.7, blue: 0.7, alpha: 1) return material } self.scnNode?.geometry = g } else { self.scnNode?.geometry = scnGeometry } var selected = isSelected ? self : nil for child in children { let g = child.select(with: scnNode) selected = selected ?? g } return selected } } ShapeScript-1.6.14/Viewer/Shared/FileMonitor.swift000066400000000000000000000041551450355336000220150ustar00rootroot00000000000000// // FileMonitor.swift // ShapeScript // // Created by Nick Lockwood on 06/11/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import Foundation class FileMonitor { let url: URL var linkedResources = Set() var securityScopedResources = Set() private var modified: TimeInterval private var timer: Timer? private var reload: (URL) throws -> Void init?(_ url: URL?, reload: @escaping (URL) throws -> Void) { guard let url = url, url.isFileURL, FileManager.default.fileExists(atPath: url.path) else { return nil } self.url = url self.reload = reload modified = Date.timeIntervalSinceReferenceDate func getModifiedDate(_ url: URL) -> TimeInterval? { let date = (try? FileManager.default.attributesOfItem(atPath: url.path))?[FileAttributeKey.modificationDate] as? Date return date.map { $0.timeIntervalSinceReferenceDate } } func fileIsModified(_ url: URL) -> Bool { guard let newDate = getModifiedDate(url), newDate > modified else { return false } return true } timer = Timer.scheduledTimer( withTimeInterval: 0.5, repeats: true ) { [weak self] _ in guard let self = self else { return } guard getModifiedDate(self.url) != nil else { self.timer?.invalidate() self.timer = nil return } var isModified = false for u in [self.url] + Array(self.linkedResources) { isModified = isModified || fileIsModified(u) } guard isModified else { return } self.markUpdated() try? self.reload(self.url) } } func markUpdated() { modified = Date.timeIntervalSinceReferenceDate } deinit { timer?.invalidate() securityScopedResources.forEach { $0.stopAccessingSecurityScopedResource() } } } ShapeScript-1.6.14/Viewer/Shared/LoadingProgress.swift000066400000000000000000000042021450355336000226610ustar00rootroot00000000000000// // LoadingProgress.swift // ShapeScript Viewer // // Created by Nick Lockwood on 01/08/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // import Foundation import ShapeScript private var _processID = 0 final class LoadingProgress { private let queue: DispatchQueue private let observer: (Status) -> Void private(set) var status: Status = .waiting private(set) var id: Int = { _processID += 1 return _processID }() init(observer: @escaping (Status) -> Void) { self.observer = observer queue = DispatchQueue(label: "shapescript.progress.\(id)") queue.async { self.setStatus(.waiting) } } deinit { print("[\(id)] released") } } extension LoadingProgress { enum Status { case waiting case partial(Scene) case success(Scene) case failure(ProgramError) case cancelled } var isCancelled: Bool { if case .cancelled = status { return true } return false } var hasFailed: Bool { if case .failure = status { return true } return false } var inProgress: Bool { switch status { case .waiting, .partial: return true case .cancelled, .success, .failure: return false } } var didSucceed: Bool { switch status { case .success: return true case .waiting, .partial, .cancelled, .failure: return false } } func cancel() { setStatus(.cancelled) } func setStatus(_ status: Status) { if isCancelled || hasFailed { return } self.status = status DispatchQueue.main.async { self.observer(status) } } func dispatch(_ block: @escaping (LoadingProgress) throws -> Void) { queue.async { [weak self] in guard let self = self else { return } do { try block(self) } catch { self.setStatus(.failure(ProgramError(error))) } } } } ShapeScript-1.6.14/Viewer/Shared/ProgramError+Formatting.swift000066400000000000000000000034501450355336000243120ustar00rootroot00000000000000// // ProgramError+Formatting.swift // ShapeScript Viewer // // Created by Nick Lockwood on 01/08/2021. // Copyright © 2021 Nick Lockwood. All rights reserved. // import ShapeScript #if canImport(UIKit) import UIKit typealias OSColor = UIColor typealias OSFont = UIFont #else import Cocoa typealias OSColor = NSColor typealias OSFont = NSFont #endif extension ProgramError { /// Returns a nicely-formatted rich text error message. func message(with source: String) -> NSAttributedString { let errorMessage = NSMutableAttributedString() let errorType = accessErrorURL == nil ? "Error" : "Permission Required" errorMessage.append(NSAttributedString(string: "\(errorType)\n\n", attributes: [ .foregroundColor: OSColor.white, .font: OSFont.systemFont(ofSize: 17, weight: .bold), ])) let body = messageAndLocation(with: source) errorMessage.append(NSAttributedString(string: "\(body)\n\n", attributes: [ .foregroundColor: OSColor.white.withAlphaComponent(0.7), .font: OSFont.systemFont(ofSize: 15, weight: .regular), ])) if let line = annotatedErrorLine(with: source), let font = OSFont(name: "Courier", size: 15) { errorMessage.append(NSAttributedString( string: "\(line)\n\n", attributes: [ .foregroundColor: OSColor.white, .font: font, ] )) } if let hint = hint { errorMessage.append(NSAttributedString(string: "\(hint)\n\n", attributes: [ .foregroundColor: OSColor.white.withAlphaComponent(0.7), .font: OSFont.systemFont(ofSize: 15, weight: .regular), ])) } return errorMessage } } ShapeScript-1.6.14/Viewer/Shared/Settings.swift000066400000000000000000000124011450355336000213570ustar00rootroot00000000000000// // Settings.swift // Viewer // // Created by Nick Lockwood on 21/12/2018. // Copyright © 2018 Nick Lockwood. All rights reserved. // import CoreServices import Foundation let appVersion: String = Bundle.main.object( forInfoDictionaryKey: "CFBundleShortVersionString" ) as! String extension Notification.Name { static let settingsUpdated: Self = .init(rawValue: "settingsUpdated") } final class Settings { static let shared = Settings() let defaults = UserDefaults.standard var associatedData: [String: Any] = [:] // MARK: Document private var documentSettings = [URL: [String: Any]]() func value(for key: String, in document: Document) -> T? { if let url = document._fileURL { if let value = documentSettings[url]?[key] as? T { return value } if let data = try? url.xattr(for: key.xattrName), let value = data.as(T.self) { documentSettings[url]?[key] = value return value } } // Return global default return defaults.object(forKey: key) as? T } func value(for key: String, in document: Document) -> T? { let rawValue = value(for: key, in: document) as T.RawValue? return rawValue.flatMap(T.init(rawValue:)) } func set(_ value: T?, for key: String, in document: Document, andGlobally applyGlobally: Bool = false) { if let url = document._fileURL { documentSettings[url, default: [:]][key] = value try? url.setXattr(Data(value), for: key.xattrName) } if applyGlobally { // Set global default defaults.set(value, forKey: key) NotificationCenter.default.post(name: .settingsUpdated, object: key) } else { defaults.set(nil, forKey: key) } } func set(_ value: T?, for key: String, in document: Document, andGlobally applyGlobally: Bool = false) { set(value?.rawValue, for: key, in: document, andGlobally: applyGlobally) } // MARK: App version var appVersion: String? { get { defaults.object(forKey: #function) as? String } set { defaults.set(newValue, forKey: #function) } } var previousAppVersion: String? { get { defaults.object(forKey: #function) as? String } set { defaults.set(newValue, forKey: #function) } } // MARK: Welcome screen var showWelcomeScreenAtStartup: Bool { get { defaults.object(forKey: #function) as? Bool ?? true } set { defaults.set(newValue, forKey: #function) } } } private extension Document { var _fileURL: URL? { fileURL } } private extension URL { func xattr(for name: String) throws -> Data? { try withUnsafeFileSystemRepresentation { path -> Data? in let length = getxattr(path, name, nil, 0, 0, 0) guard length > -1 else { guard errno == 93 else { throw posixError(errno) } return nil } var data = Data(count: length) let result = data.withUnsafeMutableBytes { getxattr(path, name, $0.baseAddress, length, 0, 0) } guard result > -1 else { throw posixError(errno) } return data } } func setXattr(_ data: Data?, for name: String) throws { try withUnsafeFileSystemRepresentation { path in guard let data = data else { _ = removexattr(path, name, 0) return } let length = data.count let result = data.withUnsafeBytes { setxattr(path, name, $0.baseAddress, length, 0, 0) } guard result > -1 else { throw posixError(errno) } } } func posixError(_ err: Int32) -> NSError { NSError(domain: NSPOSIXErrorDomain, code: Int(err), userInfo: [ NSLocalizedDescriptionKey: String(cString: strerror(err)), ]) } } private extension Data { func `as`(_ type: T.Type) -> T? { switch type { case is Data.Type: return self as? T default: return String(data: self, encoding: .utf8)?.as(type) } } init?(_ value: T?) { switch value { case let data? as Data?: self = data case let value?: guard let data = "\(value)".data(using: .utf8) else { return nil } self = data case nil: return nil } } } private extension String { var xattrName: String { // https://eclecticlight.co/2019/07/23/how-to-save-file-metadata "com.shapescript.\(self)#S" } func `as`(_ type: T.Type) -> T? { switch type { case is String.Type: return self as? T case is Double.Type: return Double(self) as? T case is Int.Type: return Int(self) as? T case is Bool.Type: return Bool(self) as? T default: preconditionFailure("Conversion of String to \(type) is not supported") } } } ShapeScript-1.6.14/Viewer/Shared/Untitled.shape000066400000000000000000000002261450355336000213150ustar00rootroot00000000000000// ShapeScript document detail 32 cube { position -1.5 color 1 0 0 } sphere { color 0 1 0 } cone { position 1.5 color 0 0 1 } ShapeScript-1.6.14/Viewer/iOS/000077500000000000000000000000001450355336000157675ustar00rootroot00000000000000ShapeScript-1.6.14/Viewer/iOS/AppDelegate.swift000066400000000000000000000017601450355336000212240ustar00rootroot00000000000000// // AppDelegate.swift // iOS Viewer // // Created by Nick Lockwood on 16/01/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import UIKit @main class AppDelegate: UIResponder, UIApplicationDelegate { var firstLaunchOfNewVersion: Bool = false func application(_: UIApplication, didFinishLaunchingWithOptions _: [UIApplication.LaunchOptionsKey: Any]? = nil) -> Bool { firstLaunchOfNewVersion = (Settings.shared.appVersion != appVersion) if firstLaunchOfNewVersion { Settings.shared.previousAppVersion = Settings.shared.appVersion Settings.shared.appVersion = appVersion } return true } func application( _: UIApplication, configurationForConnecting connectingSceneSession: UISceneSession, options _: UIScene.ConnectionOptions ) -> UISceneConfiguration { .init( name: "Default Configuration", sessionRole: connectingSceneSession.role ) } } ShapeScript-1.6.14/Viewer/iOS/Assets.xcassets/000077500000000000000000000000001450355336000210655ustar00rootroot00000000000000ShapeScript-1.6.14/Viewer/iOS/Assets.xcassets/AccentColor.colorset/000077500000000000000000000000001450355336000251125ustar00rootroot00000000000000ShapeScript-1.6.14/Viewer/iOS/Assets.xcassets/AccentColor.colorset/Contents.json000066400000000000000000000001731450355336000276030ustar00rootroot00000000000000{ "colors" : [ { "idiom" : "universal" } ], "info" : { "author" : "xcode", "version" : 1 } } ShapeScript-1.6.14/Viewer/iOS/Assets.xcassets/AppIcon.appiconset/000077500000000000000000000000001450355336000245625ustar00rootroot00000000000000ShapeScript-1.6.14/Viewer/iOS/Assets.xcassets/AppIcon.appiconset/1024.png000066400000000000000000002415431450355336000256670ustar00rootroot00000000000000PNG  IHDRtEXtSoftwareAdobe ImageReadyqe<iTXtXML:com.adobe.xmp i?IDATxi%Wy㞾[/ˬ3^ 1"@BDY$&BXmlcll, xm{nό=v _99STսupU}uO9׿u:N0 `00 `00 `0 ``0 ``0 ` `0 ` `0 `0 `0 0 `0 0 `00 `00 `ïuY OHz[+hOd͌2>]!-AvO'Tz2)[W.6$8'+@wxTԿkR85+@n?RW6` #u Z)3莵\``pտQseeɓ"kgmg[\@"l͚[N:~gyyY[@ q h:'tlk}.↏k jID(Jb #4[yNo鿢GGGRccczZLCSW m["˳Of4$Fho ǝ+veeEU_^Q k 0:x[<@,il@d͋L@+4KjT Eĝպoٲ%&@CVwyɔ/R3lbl- 0Zݟ3Q}q?44$*ǞwwLj)HJ@^mM~ה)GΧ&˹U6Ak|Dd" }bbb~~~iiIӂ]@J@.m_Gտ [lMf6)gU2fhcO244455877gUgIMЀ'?Tg||\39{#S^u ?V|LnIr8YVûidmoU]/g^-9R 8Xo&Ǟ#vIOz4%@̌|JEnj|sRd49-#]70 Peukt%7)z}aa!آ߄6`pDUˡ7y桡! @?}960 mӫMŜ(~Fw|ʷ/eRBZpȺ"5g||T*s7a?MJ>یy_dllL‚[!>R!u?vu4ݎ 9w9ϙ @_I4?}%|^Oȧє7VUA[ B-:Y_6M{wտ899I<0" LYҒBǥgj[hiȺ_93Wt+?q?nJ>AGΉf;v̤Ir+j8:ti$),NQYi5ԠR0}+~wAtEEMLLϋ, d6޺ {<zݎʔrp9Suȵ vZ`Az3OO'hhhjjZΎT="wݟOT,CEK[ZZ+%6`Z`\Sghb.D` ֦ iW*9ZM<% ȬLاQB?HJ7wҲ?rY|CjS-'\6ХӣmonM܅ 4Q9Ǐ%xMHoZ! j ~)2.(8) fI[i7ocR[9nHxԿ[ZYY~GFF|rUWe'''O8QVO-v*p=ǯn&i1v+/+R㥥%՝⑤ie$s[,@( Hgl;ӫr Kc-*0o!wƍZirDY[z- MKoj䣩z_V`K]n1Ɖvc`ZH/aaAS,}@]4%@DU9[ȟg4+Ok{| ywVUY$^>X[j&+hyܲR"'Z0=i\UV8cl=?v磢o<'a VZ({t̶mkƍӢd\?qu] 0hccc-LLL=5j5Oɠ jN3ׯߴi>X,ڵkd &&\.OOO˝KKKzvPhqAh菼M84^xr<;;{n6pTK122255%}⢻ & dZ Q9OYضm[\AZ244t7R@׋ T*?>77gl1J( us4 @DBgϞ[oX,rV{^ Ќa] LpB k)#q_7t<:7֯_/~qq1 h`$32ŷmfFBw R R|/FDZu\f gq wL -w %ɱkf=5h|Q ¹t3mf/lذAYb[oݳgDM$fggrhDa*.; < KaSSSz7R2WXL:dS~W!Nh?ڽ{LX4 5j& =ryҟV MtX [гqA Mߍ @m'@DwyR(߿k׮Rid(,M^Opnb} uB&t2Rt/S xbBsu׽]EhLk+ڽjj*_MGa$ lLC">eC]}؜40@ 8s/?uϥ%SX,ݻ?#M`S6Tk Ί2'.ǝO➮A,c7lذ` k.1IKrɓZ9Tn ȿr q}]wt*`)0#WCh9+دP(v޽w.^sJ GŬCO:buAկ~6[GiʯF˙cG?R9L#я~F2S~ɓ'ٳc~~^HN,|ML ⒀^-~Jug;1ZSא:B.jV=s9?ak\! {`ƍ2 ]/^^^d@Hc' kP+(Qyd(~]YY [Y>ʯyrުؘy4y)s1B@8` RԔ sss:N()ݻ7cu@Tڊ]ZZZXX  vcDНmghM#TSШ_rw'GFFrͪ.sm}*gJPqƙk%nwl q팍IV'`l@‰Z?u{Bd~:ϲ*]ljȏnaqqQ^M^DVgP'`l@df0Ձ?4 hB 2ٳ[o}{K=Ph Dz^V5KXtm@(Q8@?Rɇ[v:_Tҋ~9577722"MW=?rܭzFRs%fI>[\U"thM?u} ˿?<==-#+?е]i J=C >bE+uP_JÁN8P|6 0==(6S7o ?ge 坞t_(CE xH)/eWBÁ6n(ivvvllLKdP՜"@Կ=i5V䗖k,,,Ȩ922b'X"Ukº@d8PGJVkD)G|~HZVUL6 &7,.eM @?IJmU o;C͵5º+YpssCYOYjgLh@zl`# QVZϗJ;v9Ddp }+,TLcUnF~Z]\\3c6Z֥P'snAT1+ ]SSS~ Ѐ'4.쮥B!h)QoDM992 ȩЍ @Ow?4+/,,H-T*906@>pnnNEWĮt:ucpرᑑȔ4ETΜ79y5uNRө/N) oiiI5=`lȩAAQ;(  9oG/kzzZKX`0{Q###F쌤.whZc`jmŒg0vФ&#Jo^T߽=Ygi,V@pǏ_p t/>|p! w[e<4!@ J >ߞP(21?򋇖kY 7 BW) 3կGGG4`!F\>z (:ydYw?5R BI JPT*H&j@/dPY'ƤF@Ðhwr,c .v8.JW4ɾF&Qл&M@ZHK Ҕl;;@-)_ԿF3]#Ư\+3jtuÁ֯_B 3orXdDǍ&k.\+ڒҖ1KH ݫU# F.R ҄` HA 44o Ne$Mۻ~uuUlqo;"a&P( %h'*O^.fazKoIn̏N˟RIW4/=!nfEMW{}Ɣ `S kʊxOKH[,RƔ]fBt>&tog'<@q:=sU;a~~^wa(T!  0kKKKȈ."Fh{3rʊ_9x,@&Eȁ܊7 CY;0  @#?H=/ˢ BTb/Z6i@ ƨ ~D˄Fbf zw_ dK` %o*5B@[$NV,###4p/VĉjUFaFaUGNۖ@%ͫ?B\& 3i _0T 'u֮򹲲"jO8Ο|‚VT-cK'rɉ-57F7FÁd*ˡMm߈{KĈ&VKV'֨G 쓩`yyd'rp =~ dd6  0&#Bn5CjGVUi*7Mq^|2\i!T*bq||\T>}9uaٛ9/#}1Dرc'NЍutlfyE ֖4@& 7N yKIWUfx@77'l !@}3 ؙ픯ܞ"Ŀ'(BM$-_u'9":[|XtĪ]f"0zJƍ7m4==-S䲂WWW  @J.]]"=N׽?/?W/FF~W~2&=@ y睧6@:FL巆KKK2 ٧ rDv=+S `1iGNO2Vf{/w7_}gggC}ü^JϣG9rD 7nH0%_ҞfaҰ~afaLJ:3|؀H+=?r3Ih'lofVDF1込k...We$[^^ֹ+U7tzw$9IG!RXX Lx=c =r![nݲe͛>`53XRq=OJVFʝ<׋9Nڬ襹xˇe AT8P$###ҝ{Z:tHt5~i'1=?RpE Kz . 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Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum. Nam liber te conscient to factor tum poen legum odioque civiuda. ShapeScript-1.6.14/Viewer/iOS/Document.swift000066400000000000000000000070231450355336000206250ustar00rootroot00000000000000// // Document.swift // iOS Viewer // // Created by Nick Lockwood on 16/01/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import SceneKit import ShapeScript import UIKit import UniformTypeIdentifiers class Document: UIDocument { static let backgroundColor: UIColor = UIColor { traits in .init(Color(traits.userInterfaceStyle == .dark ? 0.15 : 0.625)) } let cache = GeometryCache() let settings = Settings.shared private(set) var fileMonitor: FileMonitor? weak var viewController: DocumentViewController? var scene: Scene? { didSet { updateCameras() updateViews() } } var geometry: Geometry { Geometry( type: .group, name: nil, transform: .identity, material: .default, smoothing: nil, children: scene?.children ?? [], sourceLocation: nil ) } var loadingProgress: LoadingProgress? { didSet { updateViews() } } var errorMessage: NSAttributedString? var error: ProgramError? var rerenderRequired: Bool = false private var observer: Any? private weak var saveTimer: Timer? var sourceString: String? { didSet { if viewController != nil { didUpdateSource() } } } func scheduleAutosave() { saveTimer?.invalidate() saveTimer = Timer.scheduledTimer( withTimeInterval: 1, repeats: false ) { [weak self] _ in self?.autosave() } } var cameras: [Camera] = CameraType.allCases.map { Camera(type: $0) } override init(fileURL url: URL) { super.init(fileURL: url) fileMonitor = FileMonitor(url) { [weak self] url in try self?.read(from: url) } // Observe settings changes. observer = NotificationCenter.default.addObserver( forName: .settingsUpdated, object: nil, queue: .main ) { [weak self] _ in self?.rerender() self?.updateViews() } } deinit { observer.map(NotificationCenter.default.removeObserver) } override func load(fromContents contents: Any, ofType _: String?) throws { if let data = contents as? Data { try load(data, fileURL: fileURL) } } override func contents(forType _: String) throws -> Any { guard let data = sourceString?.data(using: .utf8) else { throw NSError(domain: "", code: 0) // Unknown error } return data } override func close(completionHandler: ((Bool) -> Void)? = nil) { loadingProgress?.cancel() super.close { hasChanges in completionHandler?(hasChanges) self.securityScopedResources.forEach { $0.stopAccessingSecurityScopedResource() } } } func grantAccess() { let picker = UIDocumentPickerViewController( forOpeningContentTypes: [.folder], asCopy: false ) picker.directoryURL = error?.accessErrorURL picker.delegate = self picker.modalPresentationStyle = .fullScreen viewController?.present(picker, animated: true) } } extension Document: UIDocumentPickerDelegate { func documentPicker(_: UIDocumentPickerViewController, didPickDocumentAt url: URL) { bookmarkURL(url) try? read(from: fileURL) } } ShapeScript-1.6.14/Viewer/iOS/DocumentBrowserViewController.swift000066400000000000000000000336011450355336000250710ustar00rootroot00000000000000// // DocumentBrowserViewController.swift // iOS Viewer // // Created by Nick Lockwood on 16/01/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import ShapeScript import UIKit let onlineHelpURL = URL(string: "https://shapescript.info/\(ShapeScript.version)/ios/")! class DocumentBrowserViewController: UIDocumentBrowserViewController, UIDocumentBrowserViewControllerDelegate, UITextFieldDelegate { private var openingDocument = false override func viewDidLoad() { super.viewDidLoad() delegate = self allowsDocumentCreation = true allowsPickingMultipleItems = false additionalTrailingNavigationBarButtonItems = [UIBarButtonItem( image: UIImage(systemName: "questionmark.circle"), style: .plain, target: self, action: #selector(showHelpMenu) )] } override func viewDidAppear(_ animated: Bool) { super.viewDidAppear(animated) let appDelegate = UIApplication.shared.delegate as? AppDelegate if Settings.shared.showWelcomeScreenAtStartup { showWelcomeScreen() } else if appDelegate?.firstLaunchOfNewVersion ?? false { showWhatsNewScreen() appDelegate?.firstLaunchOfNewVersion = false } } func showWelcomeScreen() { let alert = UIAlertController( title: "Welcome to ShapeScript", message: """ ShapeScript is a text-based 3D modeling tool for iOS and macOS. If this is your first time using ShapeScript, we recommend you check out the Getting Started guide in the online documentation. ShapeScript is free to use for viewing and editing models in ShapeScript's own shape file format. There is a one-time in-app purchase required to unlock the ability to export ShapeScript models for use with other applications. """, preferredStyle: .alert ) alert.addAction(UIAlertAction( title: "OK", style: .default ) { _ in Settings.shared.showWelcomeScreenAtStartup = false }) present(alert, animated: true) } func showWhatsNewScreen() { let storyBoard = UIStoryboard(name: "Main", bundle: nil) let viewController = storyBoard.instantiateViewController(withIdentifier: "WhatsNewViewController") as! WhatsNewViewController let navigationController = UINavigationController(rootViewController: viewController) navigationController.modalPresentationStyle = .formSheet present(navigationController, animated: true) } @objc func showHelpMenu() { let alert = UIAlertController( title: "ShapeScript Help", message: "", preferredStyle: .alert ) alert.addAction(UIAlertAction( title: "Online Documentation", style: .default ) { _ in UIApplication.shared.open(onlineHelpURL) }) alert.addAction(UIAlertAction( title: "What's New in ShapeScript?", style: .default ) { [weak self] _ in self?.showWhatsNewScreen() }) alert.addAction(UIAlertAction( title: "Welcome Screen", style: .default ) { [weak self] _ in self?.showWelcomeScreen() }) alert.addAction(UIAlertAction( title: "Examples", style: .default ) { [weak self] _ in self?.showExamplesMenu() }) alert.addAction(UIAlertAction( title: "Done", style: .cancel )) present(alert, animated: true) } func showExamplesMenu() { let alert = UIAlertController( title: "Example Shapes", message: "", preferredStyle: .alert ) if let files = Bundle.main.urls(forResourcesWithExtension: "shape", subdirectory: "Examples") { for url in files.sorted(by: { $0.path < $1.path }) { let name = url.deletingPathExtension().lastPathComponent alert.addAction(UIAlertAction(title: name, style: .default) { [weak self] _ in self?.presentDocument(at: url) }) } } alert.addAction(UIAlertAction(title: "Cancel", style: .cancel)) present(alert, animated: true) } // MARK: UIDocumentBrowserViewControllerDelegate func documentBrowser(_: UIDocumentBrowserViewController, didRequestDocumentCreationWithHandler importHandler: @escaping (URL?, UIDocumentBrowserViewController.ImportMode) -> Void) { presentNewFileAlert("Untitled") { url in importHandler(url, .move) } } func documentBrowser(_: UIDocumentBrowserViewController, didPickDocumentsAt documentURLs: [URL]) { guard let sourceURL = documentURLs.first else { return } // Present the Document View Controller for the first document that was picked. // If you support picking multiple items, make sure you handle them all. presentDocument(at: sourceURL) } func documentBrowser(_: UIDocumentBrowserViewController, didImportDocumentAt sourceURL: URL, toDestinationURL destinationURL: URL) { print("importing", sourceURL, destinationURL) // Present the Document View Controller for the new newly created document presentDocument(at: destinationURL) } func documentBrowser(_: UIDocumentBrowserViewController, failedToImportDocumentAt _: URL, error _: Error?) { // Make sure to handle the failed import appropriately, e.g., by presenting an error message to the user. } // MARK: Document Presentation var transitionController: UIDocumentBrowserTransitionController? func presentDocument(at documentURL: URL) { guard !openingDocument else { return } let document = Document(fileURL: documentURL) if let viewController = presentedViewController as? DocumentViewController, viewController.document?.fileURL == documentURL { return } let storyBoard = UIStoryboard(name: "Main", bundle: nil) let viewController = storyBoard.instantiateViewController(withIdentifier: "DocumentViewController") as! DocumentViewController viewController.document = document viewController.modalPresentationStyle = .fullScreen transitionController = transitionController(forDocumentAt: documentURL) transitionController?.targetView = viewController.scnView transitionController?.loadingProgress = Progress(totalUnitCount: 10) openingDocument = true document.open { success in self.transitionController?.loadingProgress?.completedUnitCount = 10 self.transitionController?.loadingProgress = nil defer { self.openingDocument = false } guard success else { self.presentError("Unable to open file.", onOK: {}) return } if let existing = self.presentedViewController as? DocumentViewController { existing.document = document } else { self.present(viewController, animated: true, completion: nil) } } } // MARK: Document Creation func presentNewFileAlert( _ name: String, _ completion: @escaping (URL?) -> Void ) { let alert = UIAlertController( title: "New File", message: nil, preferredStyle: .alert ) var textField: UITextField? let okAction = UIAlertAction( title: "OK", style: .default ) { [weak self] _ in var fileName = textField?.sanitizedFileName ?? "" guard !fileName.isEmpty else { completion(nil) return } guard !fileName.contains("/") else { self?.presentError( "File name cannot contain / character.", onOK: { self?.presentNewFileAlert(fileName, completion) } ) return } guard !fileName.hasPrefix(".") else { self?.presentError( "File name cannot begin with a . character.", onOK: { self?.presentNewFileAlert(fileName, completion) } ) return } var pathExtension = fileName.pathExtension if pathExtension.isEmpty { fileName += fileName.hasSuffix(".") ? "shape" : ".shape" pathExtension = "shape" } else { guard pathExtension.lowercased() == "shape" else { self?.presentError( "ShapeScript cannot open .\(fileName.pathExtension) files.", onOK: { self?.presentNewFileAlert(fileName, completion) } ) return } } let fileURL = URL(fileURLWithPath: NSTemporaryDirectory()) .appendingPathComponent(fileName) do { let data: Data if let templateURL = Bundle.main.url( forResource: "Untitled", withExtension: "shape" ) { data = try Data(contentsOf: templateURL) } else { data = Data() } try data.write(to: fileURL, options: .atomic) completion(fileURL) } catch { self?.presentError( error.localizedDescription, onOK: { self?.presentNewFileAlert("", completion) } ) } } alert.addTextField { field in textField = field field.text = name field.addPlaceholderExtension(".shape") field.returnKeyType = .done field.autocapitalizationType = .words field.autocorrectionType = .no field.smartDashesType = .no field.smartQuotesType = .no field.smartInsertDeleteType = .no field.delegate = self field.addAction(UIAction { [weak field] _ in okAction.isEnabled = field?.shouldEnableSubmit ?? false }, for: .editingChanged) } okAction.isEnabled = textField?.shouldEnableSubmit ?? false alert.addAction(okAction) alert.addAction(UIAlertAction( title: "Cancel", style: .cancel ) { _ in completion(nil) }) present(alert, animated: true) } // MARK: UITextFieldDelegate func textField(_: UITextField, shouldChangeCharactersIn range: NSRange, replacementString string: String) -> Bool { if string.isEmpty { return true } if string.replacingOccurrences(of: "/", with: "").isEmpty { return false } if string.replacingOccurrences(of: ".", with: "").isEmpty, range.location == 0 { return false } return true } func textFieldShouldReturn(_ textField: UITextField) -> Bool { textField.shouldEnableSubmit } func presentError( _ message: String?, onOK: (() -> Void)?, onCancel: (() -> Void)? = nil ) { let alert = UIAlertController( title: "Error", message: message, preferredStyle: .alert ) if let onOK = onOK { alert.addAction(UIAlertAction( title: "OK", style: .default ) { _ in onOK() }) } if let onCancel = onCancel { alert.addAction(UIAlertAction( title: "Cancel", style: .cancel ) { _ in onCancel() }) } present(alert, animated: true) } } private extension UITextField { var shouldEnableSubmit: Bool { !sanitizedFileName.isEmpty } var sanitizedFileName: String { (text ?? "") .normalizingWhitespace() .trimmingCharacters(in: CharacterSet(charactersIn: " /")) } func addPlaceholderExtension(_ placeholder: String) { let placeholder = placeholder.hasPrefix(".") ? placeholder : ".\(placeholder)" let label = UILabel() label.alpha = 0.3 label.isHidden = true label.isAccessibilityElement = false let container = UIView() container.clipsToBounds = true container.addSubview(label) addSubview(container) addAction(UIAction { [weak self] _ in guard let self = self else { return } let text = self.text ?? "" label.text = text.hasSuffix(".") ? String(placeholder.dropFirst()) : placeholder label.font = self.font container.frame = self.textRect(forBounds: self.bounds) label.frame = container.bounds if self.window?.screen.scale == 3, UIDevice.current.systemVersion .compare("16", options: .numeric) == .orderedAscending { // Fix for slight baseline misalignment on @3x displays container.frame.origin.y -= 0.3 } let size = text.size(withAttributes: self.defaultTextAttributes) label.frame.origin.x = size.width label.isHidden = !self.hasText || !text.pathExtension.isEmpty }, for: .editingChanged) DispatchQueue.main.asyncAfter(deadline: .now() + 0.1) { self.sendActions(for: .editingChanged) } } } private extension String { var pathExtension: String { (self as NSString).pathExtension } func normalizingWhitespace() -> String { components(separatedBy: .whitespacesAndNewlines) .filter { !$0.isEmpty } .joined(separator: " ") } } ShapeScript-1.6.14/Viewer/iOS/DocumentViewController.swift000066400000000000000000000432351450355336000235310ustar00rootroot00000000000000// // DocumentViewController.swift // iOS Viewer // // Created by Nick Lockwood on 16/01/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import Euclid import SceneKit import ShapeScript import UIKit protocol ExportMenuProvider { func updateExportMenu() } class DocumentViewController: UIViewController { let scnScene = SCNScene() var renderTimer: Timer? private(set) var interfaceColor: UIColor = .black private(set) var scnView: SCNView = .init() private let consoleTextView: UITextView = .init() private let loadingIndicator: UIActivityIndicatorView = .init() @IBOutlet private var containerView: SplitView! @IBOutlet private var errorScrollView: UIScrollView! @IBOutlet private(set) var errorTextView: UITextView! @IBOutlet private(set) var grantAccessButton: UIButton! @IBOutlet private(set) var exportButton: UIBarButtonItem! @IBOutlet private var closeButton: UIBarButtonItem! @IBOutlet private var infoButton: UIBarButtonItem! @IBOutlet private var cameraButton: UIBarButtonItem! @IBOutlet private var editButton: UIBarButtonItem! @IBOutlet private var navigationBar: UINavigationBar! var document: Document? { didSet { document?.viewController = self updateEditButton() document?.rerender() } } lazy var cameraNode: SCNNode = makeCameraNode() weak var axesNode: SCNNode? var errorMessage: NSAttributedString? { didSet { guard let errorMessage = errorMessage else { errorScrollView.isHidden = true navigationBar.tintColor = interfaceColor cameraButton.isEnabled = true infoButton.isEnabled = true exportButton.isEnabled = true return } errorTextView.attributedText = errorMessage errorScrollView.isHidden = false navigationBar.tintColor = .white cameraButton.isEnabled = false infoButton.isEnabled = false exportButton.isEnabled = false } } private let log = NSMutableAttributedString() private var logLength = 0 func clearLog() { logLength = 0 log.mutableString.setString("") consoleTextView.text = "" } func appendLog(_ text: String) { if text.isEmpty { return } let logLimit = 20000 let charCount = text.count logLength += charCount let location = log.length if logLength > logLimit { if logLength - charCount > logLimit { return } log.append(NSAttributedString( string: "Console limit exceeded. No further logs will be printed.", attributes: [ .foregroundColor: UIColor.red, .font: UIFont.systemFont(ofSize: 13), ] )) } else { log.append(NSAttributedString( string: text, attributes: [ .foregroundColor: UIColor.label, .font: UIFont.systemFont(ofSize: 13), ] )) } consoleTextView.attributedText = log let range = NSRange(location: location, length: 1) DispatchQueue.main.async { if self.containerView.heights.count > 1 { self.containerView.heights[1] = min(150, self.consoleTextView.contentSize.height) } self.consoleTextView.scrollRangeToVisible(range) } } func updateModals() { var presentedViewController = presentedViewController while let vc = presentedViewController?.presentedViewController { presentedViewController = vc } if let navController = presentedViewController as? UINavigationController, let viewController = navController.viewControllers.first as? SourceViewController, let fileURL = viewController.document?.fileURL { openSourceFile(fileURL, in: viewController) } else { presentedViewController?.dismiss(animated: true) { [weak self] in self?.updateModals() } } } var isLoading = false { didSet { guard isLoading != oldValue else { return } if isLoading { loadingIndicator.startAnimating() } else { loadingIndicator.stopAnimating() refreshView() } } } var showConsole = false { didSet { guard showConsole != oldValue else { return } if showConsole { if consoleTextView.superview == nil { consoleTextView.frame.size.width = scnView.frame.width consoleTextView.sizeToFit() consoleTextView.isEditable = false consoleTextView.textContainerInset = UIEdgeInsets( top: 5, left: 5, bottom: 5, right: 5 ) let height = consoleTextView.frame.height + view.safeAreaInsets.bottom containerView.addArrangedSubview( consoleTextView, height: height ) } } else { containerView.removeArrangedSubview(consoleTextView) } } } var showAxes = false { didSet { if showAxes != oldValue { updateAxesAndCamera() rebuildMenu() } } } var isOrthographic = false { didSet { if isOrthographic != oldValue { refreshOrthographic() rebuildMenu() } } } var camera: Camera = .default { didSet { if camera != oldValue { updateAxesAndCamera() resetView() rebuildMenu() } } } var background: MaterialProperty? { get { MaterialProperty(scnScene.background) } set { if newValue != background { newValue?.configureProperty(scnScene.background) updateInterfaceColor() } } } var isBrightBackground: Bool { let color = Color(Document.backgroundColor) let brightness = background?.brightness(over: color) ?? color.brightness return brightness > 0.5 } var exportMenuProvider: ExportMenuProvider? { self as Any as? ExportMenuProvider } func updateInterfaceColor() { interfaceColor = UIColor(isBrightBackground ? Color.black : .white) navigationBar.tintColor = errorMessage.map { _ in .white } ?? interfaceColor loadingIndicator.color = interfaceColor grantAccessButton.tintColor = .white setNeedsStatusBarAppearanceUpdate() } func updateEditButton() { editButton?.image = UIImage(systemName: document?.isEditable ?? false ? "square.and.pencil" : "doc.plaintext") } override var preferredStatusBarStyle: UIStatusBarStyle { isBrightBackground ? .darkContent : .lightContent } var geometry: Geometry? { didSet { refreshGeometry() rebuildMenu() } } weak var selectedGeometry: Geometry? override func viewSafeAreaInsetsDidChange() { super.viewSafeAreaInsetsDidChange() view.setNeedsLayout() } override func traitCollectionDidChange( _ previousTraitCollection: UITraitCollection? ) { super.traitCollectionDidChange(previousTraitCollection) view.setNeedsLayout() } override func viewDidLayoutSubviews() { super.viewDidLayoutSubviews() errorTextView.textContainerInset = UIEdgeInsets( top: view.safeAreaInsets.top + 60, left: max(view.safeAreaInsets.left + 15, 20), bottom: view.safeAreaInsets.bottom + 20, right: max(view.safeAreaInsets.right + 15, 20) ) updateInterfaceColor() if !cameraHasMoved { updateAxesAndCamera() resetView() } rebuildMenu() } override func viewDidLoad() { super.viewDidLoad() // create view scnView = SCNView(frame: containerView.bounds, options: [:]) scnView.autoresizingMask = [.flexibleWidth, .flexibleHeight] containerView.addArrangedSubview(scnView, height: nil) // set the scene to the view scnView.scene = scnScene // configure navigation bar let loadingItem = UIBarButtonItem(customView: loadingIndicator) navigationBar.topItem?.leftBarButtonItems?.append(loadingItem) navigationBar.setBackgroundImage(.init(), for: .default) navigationBar.shadowImage = .init() if let exportMenuProvider = exportMenuProvider { exportMenuProvider.updateExportMenu() } else { navigationBar.topItem?.rightBarButtonItems?.removeAll(where: { $0 === exportButton }) } // configure the view containerView.backgroundColor = Document.backgroundColor scnView.backgroundColor = Document.backgroundColor scnView.antialiasingMode = .multisampling4X // .multisampling16X scnView.defaultCameraController.delegate = self scnView.pointOfView = cameraNode updateInterfaceColor() updateEditButton() refreshGeometry() // configure camera menu rebuildMenu() // add a tap gesture recognizer let tapGesture = UITapGestureRecognizer(target: self, action: #selector(handleTap(_:))) scnView.addGestureRecognizer(tapGesture) if self as Any is ExportMenuProvider { scheduleCameraMovedTimer() } } private var _cameraHadMoved = false private func scheduleCameraMovedTimer() { Timer.scheduledTimer( withTimeInterval: 1, repeats: false ) { [weak self] _ in guard let self = self else { return } if self.cameraHasMoved != self._cameraHadMoved { self._cameraHadMoved = self.cameraHasMoved self.rebuildMenu() } self.scheduleCameraMovedTimer() } } private func rebuildMenu() { // Update camera menu let cameras: [Camera] if let document = document { cameras = document.cameras } else { cameras = CameraType.allCases.map { Camera(type: $0) } + (0 ..< 9 - CameraType.allCases.count).map { Camera(type: CameraType(rawValue: "custom\($0)")) } } var cameraItems = [UIMenuElement]() for (i, camera) in cameras.enumerated() { let item = UIAction( title: camera.name, image: nil, identifier: nil, discoverabilityTitle: nil, attributes: [], state: self.camera == camera ? (cameraHasMoved ? .mixed : .on) : .off ) { [weak self] _ in _ = self?.document?.selectCamera(at: i) } cameraItems.append(item) } cameraButton.menu = UIMenu( title: "", image: nil, identifier: nil, options: [], children: [ UIAction( title: "Reset View", image: nil, identifier: nil, discoverabilityTitle: nil, attributes: cameraHasMoved ? [] : .disabled, state: .off ) { [weak self] _ in self?.resetCamera() }, UIMenu( title: "", image: nil, identifier: nil, options: .displayInline, children: cameraItems ), UIMenu( title: "", image: nil, identifier: nil, options: .displayInline, children: [ UIAction( title: "Orthographic", image: nil, identifier: nil, discoverabilityTitle: nil, attributes: camera.isOrthographic.map { _ in .disabled } ?? [], state: camera.isOrthographic ?? isOrthographic ? .on : .off ) { [weak self] _ in self?.toggleOrthographic() }, UIAction( title: "Show Wireframe", image: nil, identifier: nil, discoverabilityTitle: nil, attributes: [], state: document?.showWireframe == true ? .on : .off ) { [weak self] _ in self?.toggleWireframe() }, UIAction( title: "Show Axes", image: nil, identifier: nil, discoverabilityTitle: nil, attributes: [], state: document?.showAxes == true ? .on : .off ) { [weak self] _ in self?.toggleAxes() }, UIAction( title: "Copy Settings", image: nil, identifier: nil, discoverabilityTitle: nil, attributes: [], state: .off ) { [weak self] _ in self?.copyCamera() }, ] ), ] ) // Update export menu exportMenuProvider?.updateExportMenu() } @IBAction func showModelInfo() { let sheet = UIAlertController( title: selectedGeometry.map { _ in "Selected Shape Info" } ?? "Scene Info", message: document?.modelInfo ?? "", preferredStyle: .alert ) if let fileURL = selectedGeometry?.sourceLocation?.file ?? document?.fileURL { sheet.addAction(UIAlertAction( title: "View Source", style: .default ) { [weak self] _ in self?.openSourceView(withContentsOf: fileURL) }) } sheet.addAction(UIAlertAction( title: "Done", style: .cancel ) { [weak sheet] _ in sheet?.dismiss(animated: true) }) present(sheet, animated: true, completion: {}) } func openSourceFile(_ fileURL: URL, in viewController: SourceViewController) { if fileURL == document?.fileURL { viewController.document = document } else { let document = Document(fileURL: fileURL) document.open { success in if success { viewController.document = document } else { viewController.dismiss(animated: true) } } } } func openSourceView(withContentsOf fileURL: URL) { let storyBoard = UIStoryboard(name: "Main", bundle: nil) let viewController = storyBoard.instantiateViewController(withIdentifier: "SourceViewController") as! SourceViewController openSourceFile(fileURL, in: viewController) viewController.modalPresentationStyle = .pageSheet let navigationController = UINavigationController(rootViewController: viewController) present(navigationController, animated: true, completion: nil) } @IBAction func resetCamera() { updateAxesAndCamera() resetView() rebuildMenu() } @IBAction func copyCamera() { guard let code = document?.cameraConfig(for: scnView) else { return } UIPasteboard.general.string = code } @IBAction func openSourceEditor() { if let url = document?.errorURL ?? selectedGeometry?.sourceLocation?.file ?? document?.fileURL { openSourceView(withContentsOf: url) } } @IBAction func grantAccess() { document?.grantAccess() } @IBAction func toggleWireframe() { document?.showWireframe.toggle() rebuildMenu() } @IBAction func toggleAxes() { document?.showAxes.toggle() } @IBAction func toggleOrthographic() { document?.isOrthographic.toggle() } @objc private func handleTap(_ gestureRecognizer: UIGestureRecognizer) { let location = gestureRecognizer.location(in: scnView) let hitResults = scnView.hitTest(location, options: [:]) selectGeometry(hitResults.first?.node) } @IBAction func dismissDocumentViewController() { dismiss(animated: true) { self.document?.close(completionHandler: nil) } } } extension DocumentViewController: SCNCameraControllerDelegate { func cameraInertiaWillStart(for _: SCNCameraController) { rebuildMenu() } func cameraInertiaDidEnd(for _: SCNCameraController) { rebuildMenu() } } ShapeScript-1.6.14/Viewer/iOS/Info.plist000066400000000000000000000070731450355336000177460ustar00rootroot00000000000000 CFBundleDevelopmentRegion $(DEVELOPMENT_LANGUAGE) CFBundleDisplayName ShapeScript CFBundleDocumentTypes CFBundleTypeExtensions CFBundleTypeIconFile CFBundleTypeMIMETypes CFBundleTypeName ShapeScript document CFBundleTypeRole Editor LSHandlerRank Owner LSItemContentTypes com.charcoaldesign.shapescript-source LSTypeIsPackage 0 NSDocumentClass $(PRODUCT_MODULE_NAME).Document CFBundleExecutable $(EXECUTABLE_NAME) CFBundleIdentifier $(PRODUCT_BUNDLE_IDENTIFIER) CFBundleInfoDictionaryVersion 6.0 CFBundleName $(PRODUCT_NAME) CFBundlePackageType $(PRODUCT_BUNDLE_PACKAGE_TYPE) CFBundleShortVersionString $(MARKETING_VERSION) LSApplicationCategoryType CFBundleVersion $(CURRENT_PROJECT_VERSION) ITSAppUsesNonExemptEncryption LSRequiresIPhoneOS UILaunchStoryboardName LaunchScreen UIMainStoryboardFile Main UIRequiredDeviceCapabilities armv7 UISupportedInterfaceOrientations UIInterfaceOrientationPortrait UIInterfaceOrientationLandscapeLeft UIInterfaceOrientationLandscapeRight UISupportedInterfaceOrientations~ipad UIInterfaceOrientationPortrait UIInterfaceOrientationPortraitUpsideDown UIInterfaceOrientationLandscapeLeft UIInterfaceOrientationLandscapeRight UISupportsDocumentBrowser CFBundleURLTypes CFBundleURLSchemes shapescript CFBundleURLName com.charcoaldesign.ShapeScript UTImportedTypeDeclarations UTTypeConformsTo public.c-source UTTypeDescription ShapeScript document UTTypeIdentifier com.charcoaldesign.shapescript-source UTTypeTagSpecification public.filename-extension shape UIApplicationSceneManifest UIApplicationSupportsMultipleScenes UISceneConfigurations UIWindowSceneSessionRoleApplication UISceneConfigurationName Default Configuration UISceneDelegateClassName $(PRODUCT_MODULE_NAME).SceneDelegate UISceneStoryboardFile Main ShapeScript-1.6.14/Viewer/iOS/SceneDelegate.swift000066400000000000000000000047401450355336000215420ustar00rootroot00000000000000// // SceneDelegate.swift // Viewer (iOS) // // Created by Nick Lockwood on 15/02/2023. // Copyright © 2023 Nick Lockwood. All rights reserved. // import UIKit class SceneDelegate: UIResponder, UIWindowSceneDelegate { var window: UIWindow? func scene( _ scene: UIScene, willConnectTo _: UISceneSession, options connectionOptions: UIScene.ConnectionOptions ) { window?.backgroundColor = .black self.scene(scene, openURLContexts: connectionOptions.urlContexts) } func scene(_: UIScene, openURLContexts urlContexts: Set) { guard var inputURL = urlContexts.first?.url else { return } if inputURL.scheme == "shapescript" { var path = inputURL.absoluteString .deletingPrefix("shapescript:") .deletingPrefix("//") path = (path.removingPercentEncoding ?? path) .deletingPrefix("file://") if let url = URL(string: path), url.scheme ?? "file" != "file" { inputURL = url } else { inputURL = URL(fileURLWithPath: path) } } guard let documentBrowserViewController = window? .rootViewController as? DocumentBrowserViewController else { return } // Ensure the URL is a file URL guard inputURL.isFileURL else { documentBrowserViewController.presentError( "Could not open '\(inputURL.absoluteString)'", onOK: {} ) return } // Reveal / import the document at the URL documentBrowserViewController.revealDocument(at: inputURL, importIfNeeded: true) { revealedDocumentURL, error in if let error = error { documentBrowserViewController.presentError( "Could not open file '\(inputURL.path)'. \(error.localizedDescription)", onOK: {} ) return } // TODO: why is this needed? let revealedDocumentURL = revealedDocumentURL ?? inputURL // Present the Document View Controller for the revealed URL documentBrowserViewController.presentDocument(at: revealedDocumentURL) } } } private extension String { func deletingPrefix(_ string: String) -> String { if hasPrefix(string) { return String(dropFirst(string.count)) } return self } } ShapeScript-1.6.14/Viewer/iOS/SourceViewController.swift000066400000000000000000000173731450355336000232170ustar00rootroot00000000000000// // SourceViewController.swift // iOS Viewer // // Created by Nick Lockwood on 19/08/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import ShapeScript import UIKit class SourceViewController: UIViewController { @IBOutlet private var textView: TokenView! var document: Document? { willSet { document?.undoManager = nil } didSet { didSetDocument() } } override var undoManager: UndoManager? { document?.undoManager } func didSetDocument() { title = document?.fileURL.lastPathComponent if let textView = textView { textView.text = document?.sourceString ?? "" textView.isEditable = document?.isEditable ?? false document?.undoManager = textView.undoManager } } override func viewDidLoad() { super.viewDidLoad() textView.font = .monospacedSystemFont(ofSize: 15, weight: .regular) textView.showLineNumbers = true textView.wrapLines = false textView.disableDoubleSpacePeriodShortcut = true textView.delegate = self didSetDocument() navigationItem.leftBarButtonItem = UIBarButtonItem( systemItem: .close, primaryAction: UIAction { [weak self] _ in self?.dismiss(animated: true) } ) navigationItem.rightBarButtonItem = UIBarButtonItem( systemItem: .action, primaryAction: UIAction { [weak self] _ in guard let self = self, let document = self.document else { return } let sheet = UIActivityViewController( activityItems: [ UISimpleTextPrintFormatter(text: document.sourceString ?? ""), document.fileURL, ], applicationActivities: nil ) sheet.popoverPresentationController? .barButtonItem = self.navigationItem.rightBarButtonItem self.present(sheet, animated: true) } ) } } extension TokenView.TokenType { static let `default` = Self(rawValue: "default") static let `operator` = Self(rawValue: "operator") static let identifier = Self(rawValue: "identifier") static let keyword = Self(rawValue: "keyword") static let string = Self(rawValue: "string") static let number = Self(rawValue: "number") static let color = Self(rawValue: "color") static let member = Self(rawValue: "member") static let stdlib = Self(rawValue: "stdlib") } extension TokenType { var tokenViewType: TokenView.TokenType { switch self { case .dot, .prefix, .infix, .lbrace, .rbrace, .lparen, .rparen: return .operator case .identifier: return .identifier case .keyword: return .keyword case .hexColor: return .color case .number: return .number case .string: return .string case .linebreak, .eof: return .default } } } extension Token { var tokenViewToken: TokenView.Token { .init( type: type.tokenViewType, range: range ) } } extension SourceViewController: TokenViewDelegate { func tokens(for input: String) -> [TokenView.Token] { var stack = [Set()] var lastKeyword: String? var lastToken: ShapeScript.Token? return (try? tokenize(input).flatMap { token -> [TokenView.Token] in defer { lastToken = token } var viewToken = token.tokenViewToken switch token.type { case .lbrace: stack.append(stack.last!) case .rbrace where stack.count > 1: stack.removeLast() case .linebreak, .eof: lastKeyword = nil case let .keyword(name): lastKeyword = name.rawValue case let .identifier(name): if lastKeyword == "for", ["in", "to", "step"].contains(name) { if case let .identifier(name) = lastToken?.type, ["in", "to", "step"].contains(name) { break } viewToken.type = .keyword break } if lastKeyword == "option", case .identifier("option")? = lastToken?.type { stack[stack.count - 1].insert(name) lastKeyword = nil break } if case .keyword(.define)? = lastToken?.type { stack[stack.count - 1].insert(name) lastKeyword = nil break } else if case .dot = lastToken?.type { viewToken.type = .member break } if stack.last!.contains(name) { break } switch name { case "to", "step", "option", "not", "true", "false": // contextual keywords viewToken.type = .keyword lastKeyword = name case _ where ShapeScript.stdlibSymbols.contains(name): viewToken.type = .stdlib default: break } default: break } let lastBound = lastToken?.range.upperBound ?? "".startIndex let lastRange = lastBound ..< token.range.lowerBound if !lastRange.isEmpty, input[lastRange].contains("/") { return [.init(type: .default, range: lastRange), viewToken] } return [viewToken] }) ?? [] } func attributes(for tokenType: TokenView.TokenType) -> [NSAttributedString.Key: Any] { switch tokenType { case .keyword: return [.foregroundColor: UIColor.systemPurple] case .number: return [.foregroundColor: UIColor.orange] case .string, .color: return [.foregroundColor: UIColor.systemRed] case .stdlib, .member: return [.foregroundColor: UIColor { $0.userInterfaceStyle == .dark ? .systemTeal : .systemIndigo }] case .default: return [.foregroundColor: UIColor.systemGray] case .identifier, .operator, _: return [:] } } func textViewDidChange(_ textView: UITextView) { document?.sourceString = textView.text document?.scheduleAutosave() document?.fileMonitor?.markUpdated() if undoManager?.isUndoing ?? false { document?.updateChangeCount(.undone) } else if undoManager?.isRedoing ?? false { document?.updateChangeCount(.redone) } else { document?.updateChangeCount(.done) } } } extension SourceViewController: UIScrollViewDelegate { func scrollViewDidScroll(_ scrollView: UIScrollView) { let navigationBar = navigationController?.navigationBar let underMenu = scrollView.contentOffset.y > -view.safeAreaInsets.top if #available(iOS 15.0, *) { let appearance = UINavigationBarAppearance() if underMenu { appearance.configureWithDefaultBackground() } else { appearance.configureWithTransparentBackground() } navigationBar?.scrollEdgeAppearance = appearance } else if underMenu { navigationBar?.standardAppearance.configureWithDefaultBackground() } else { navigationBar?.standardAppearance.configureWithTransparentBackground() } } } ShapeScript-1.6.14/Viewer/iOS/SplitView.swift000066400000000000000000000027761450355336000210070ustar00rootroot00000000000000// // SplitView.swift // iOS Viewer // // Created by Nick Lockwood on 19/01/2022. // Copyright © 2022 Nick Lockwood. All rights reserved. // import UIKit class SplitView: UIView { private(set) var arrangedSubviews: [UIView] = [] var heights: [CGFloat?] = [] { didSet { setNeedsLayout() } } func addArrangedSubview(_ view: UIView, height: CGFloat?) { removeArrangedSubview(view) arrangedSubviews.append(view) heights.append(height) addSubview(view) setNeedsLayout() } func removeArrangedSubview(_ view: UIView) { while let index = arrangedSubviews.firstIndex(where: { $0 === view }) { arrangedSubviews.remove(at: index) heights.remove(at: index) } view.removeFromSuperview() setNeedsLayout() } override func layoutSubviews() { super.layoutSubviews() var total: CGFloat = 0 for height in heights { total += height ?? 0 } let remaining = bounds.height - total let flexibleCount = heights.filter { $0 == nil }.count var offset: CGFloat = 0 for (view, height) in zip(arrangedSubviews, heights) { let height = height ?? remaining / CGFloat(flexibleCount) view.frame = CGRect( x: 0, y: offset, width: bounds.width, height: height ) offset += height } } } ShapeScript-1.6.14/Viewer/iOS/TextView.swift000066400000000000000000000725611450355336000206370ustar00rootroot00000000000000// // TextView.swift // Subtext // // Created by Nick Lockwood on 22/01/2022. // import UIKit @objc protocol TextViewDelegate: UITextViewDelegate { @objc optional func textView( _ textView: TextView, replacementForText text: String ) -> String } class TextView: UIScrollView { private let layoutManager: LayoutManager private let gutterView = LineNumberView() private var lineCount = 0 private var lastSpaceIndex: Int? fileprivate var currentAction: TextAction? let textView: UITextView private var _contentInset: UIEdgeInsets = .zero override var contentInset: UIEdgeInsets { get { _contentInset } set { _contentInset = newValue setNeedsLayout() } } override var undoManager: UndoManager? { textView.undoManager } var showLineNumbers: Bool = false { didSet { guard showLineNumbers != oldValue else { return } updateLineCount() setNeedsLayout() } } var wrapLines: Bool = false { didSet { setNeedsLayout() } } var indentNewLines: Bool = true var spellCheckingType: UITextSpellCheckingType = .no { didSet { textView.spellCheckingType = spellCheckingType // Workaround for spellcheck mode not updating textView.reloadInputViews() } } var disableDoubleSpacePeriodShortcut: Bool = false var text: String { get { textView.text } set { guard newValue != textView.text else { return } textView.text = newValue updateLineCount() previousSize = .zero setNeedsLayout() } } var selectedRange: NSRange { get { textView.selectedRange } set { textView.selectedRange = newValue } } var font: UIFont = .monospacedSystemFont(ofSize: 15, weight: .regular) { didSet { updateFont() } } var textColor: UIColor = .label { didSet { textView.textColor = textColor } } var isEditable: Bool = true { didSet { textView.isEditable = isEditable } } override var isFirstResponder: Bool { textView.isFirstResponder } @discardableResult override func becomeFirstResponder() -> Bool { textView.becomeFirstResponder() } @discardableResult override func resignFirstResponder() -> Bool { textView.resignFirstResponder() } override init(frame: CGRect) { layoutManager = LayoutManager() textView = TextView.textView(with: layoutManager) super.init(frame: frame) setUp() } required init?(coder: NSCoder) { layoutManager = LayoutManager() textView = TextView.textView(with: layoutManager) super.init(coder: coder) setUp() } deinit { NotificationCenter.default.removeObserver(self) } private func setUp() { layoutManager.delegate = self contentInsetAdjustmentBehavior = .never super.contentInset = .zero isDirectionalLockEnabled = true showsHorizontalScrollIndicator = true textView.font = UIFontMetrics.default.scaledFont(for: font) textView.textColor = textColor textView.adjustsFontForContentSizeCategory = true textView.contentInsetAdjustmentBehavior = .never textView.showsHorizontalScrollIndicator = false textView.showsVerticalScrollIndicator = true textView.alwaysBounceVertical = true textView.alwaysBounceHorizontal = false textView.keyboardDismissMode = .interactive textView.autocorrectionType = .no textView.spellCheckingType = spellCheckingType textView.autocapitalizationType = .none textView.smartQuotesType = .no textView.smartDashesType = .no textView.smartInsertDeleteType = .no textView.isEditable = isEditable textView.frame = bounds textView.delegate = self textView.textDragDelegate = self textView.textDropDelegate = self addSubview(textView) gutterView.font = UIFontMetrics.default.scaledFont(for: font) gutterView.backgroundColor = .secondarySystemBackground gutterView.contentMode = .right gutterView.isHidden = true addSubview(gutterView) avoidKeyboard() updateLineCount() updateInsets() } private var previousSize: CGSize = .zero override func layoutSubviews() { super.layoutSubviews() updateLineNumbers() updateInsets() let size = frame.size let width = wrapLines ? size.width : .greatestFiniteMagnitude if width != previousSize.width || size.height != previousSize.height { previousSize.width = width previousSize.height = size.height let oldOffset = textView.contentOffset textView.sizeToFitWidth(width, in: size) textView.contentOffset = oldOffset if contentSize != textView.frame.size { contentSize = textView.frame.size } let textView = self.textView DispatchQueue.main.async { let maxY = max(0, textView.contentSize.height - textView.frame.height + textView.contentInset.bottom) if textView.contentOffset.y > maxY { textView.contentOffset.y = maxY } } } showsHorizontalScrollIndicator = !wrapLines if _contentInset.bottom > safeAreaInsets.bottom { horizontalScrollIndicatorInsets.left = textView.contentInset.left - safeAreaInsets.left horizontalScrollIndicatorInsets.right = textView.contentInset.right - safeAreaInsets.right horizontalScrollIndicatorInsets.bottom = _contentInset.bottom } else { horizontalScrollIndicatorInsets.left = max(textView.contentInset.left, safeAreaInsets.bottom) - safeAreaInsets.left horizontalScrollIndicatorInsets.right = max(safeAreaInsets.right, safeAreaInsets.bottom) - safeAreaInsets.right horizontalScrollIndicatorInsets.bottom = -safeAreaInsets.bottom } textView.verticalScrollIndicatorInsets.bottom = max( _contentInset.bottom, safeAreaInsets.bottom ) textView.verticalScrollIndicatorInsets.right = textView.frame.width - frame.width - contentOffset.x - safeAreaInsets.left updateLineNumbers() updateInsets() } override func traitCollectionDidChange(_ previousTraitCollection: UITraitCollection?) { super.traitCollectionDidChange(previousTraitCollection) gutterView.font = UIFontMetrics.default.scaledFont(for: font) setNeedsLayout() } } private extension TextView { static func textView(with layoutManager: LayoutManager) -> UITextView { let textContainer = NSTextContainer(size: .zero) textContainer.widthTracksTextView = true textContainer.heightTracksTextView = true layoutManager.addTextContainer(textContainer) let textStorage = NSTextStorage() textStorage.addLayoutManager(layoutManager) return _UITextView(frame: .zero, textContainer: textContainer) } func updateFont() { textView.font = UIFontMetrics.default.scaledFont(for: font) gutterView.font = UIFontMetrics.default.scaledFont(for: font) setNeedsLayout() } func updateInsets() { var inset = UIEdgeInsets( top: _contentInset.top + safeAreaInsets.top, left: _contentInset.left + safeAreaInsets.left, bottom: _contentInset.bottom + safeAreaInsets.bottom, right: _contentInset.right + safeAreaInsets.right ) if showLineNumbers { layoutManager.gutterWidth = ceil(String(lineCount).size(withAttributes: [ .font: UIFontMetrics.default.scaledFont(for: font), ]).width + 8) inset.left = max(inset.left + layoutManager.gutterWidth - 10, layoutManager.gutterWidth) gutterView.isHidden = false gutterView.frame.origin.x = contentOffset.x gutterView.frame.size = CGSize( width: inset.left, height: frame.height ) } else { gutterView.isHidden = true gutterView.frame.size.width = 0 } if inset != textView.contentInset { textView.contentInset = inset if textView.contentOffset.y == 0 { textView.contentOffset.y = -inset.top } } } func updateLineCount() { guard showLineNumbers else { return } let lineCount = text.lineCount if lineCount != self.lineCount { self.lineCount = lineCount setNeedsLayout() } } } private extension String { var lineCount: Int { reduce(1) { $0 + ("\r\n\n\r".contains($1) ? 1 : 0) } } func startOfLine(at index: String.Index) -> String.Index { assert(index <= endIndex) var index = index while index > startIndex { let prev = self.index(before: index) if self[prev].isNewline { return index } index = prev } return index } func indentForLine(at index: Int) -> String { let endIndex = min(.init(utf16Offset: index, in: self), self.endIndex) var index = startOfLine(at: endIndex) var indent = "" while index < endIndex, case let char = self[index], char.isWhitespace, !char.isNewline { indent.append(char) index = self.index(after: index) } return indent } } private enum TextAction { case typing, delete, cut, paste, drag, drop } private final class _UITextView: UITextView { override func canPerformAction(_ action: Selector, withSender sender: Any?) -> Bool { switch action { case #selector(selectAll(_:)): return true case #selector(captureTextFromCamera(_:)): return false // weird and broken default: return super.canPerformAction(action, withSender: sender) } } override func cut(_ sender: Any?) { (delegate as? TextView)?.currentAction = .cut super.cut(sender) } override func paste(_ sender: Any?) { (delegate as? TextView)?.currentAction = .paste super.paste(sender) } override func captureTextFromCamera(_ sender: Any?) { if #available(iOS 15, *) { super.captureTextFromCamera(sender) } } override func replace(_ range: UITextRange, withText text: String) { super.replace(range, withText: text) (delegate as? TextView)?.updateLineCount() } override func caretRect(for position: UITextPosition) -> CGRect { var rect = super.caretRect(for: position) guard let textView = superview as? TextView, !textView.wrapLines else { return rect } // workaround for wrong value when caret is offscreen let offset = min( textStorage.mutableString.length, self.offset(from: beginningOfDocument, to: position) ) let newlineRange = textStorage.mutableString.rangeOfCharacter( from: .newlines, options: .backwards, range: NSRange(location: 0, length: offset) ) let lineStart = newlineRange.location == NSNotFound ? 0 : newlineRange.upperBound let line = textStorage.mutableString.substring( with: NSRange(location: lineStart, length: offset - lineStart) ) rect.origin.x = max(rect.origin.x, (line as NSString).size( withAttributes: font.map { [.font: $0] } ?? [:] ).width) return rect } } extension UITextView { func textRange(from range: NSRange) -> UITextRange? { guard let start = position( from: beginningOfDocument, offset: range.location ), let end = position( from: start, offset: range.length ) else { return nil } return textRange(from: start, to: end) } } private extension UITextView { func sizeToFitWidth(_ width: CGFloat, in bounds: CGSize) { let newWidth = sizeThatFits(CGSize( width: width - contentInset.left - contentInset.right, height: CGFloat.greatestFiniteMagnitude )).width + contentInset.left + contentInset.right let newSize = CGSize( width: max(newWidth, bounds.width), height: bounds.height ) if newSize != frame.size { frame.size = newSize DispatchQueue.main.async { self.contentOffset.x = -self.contentInset.left } } } } extension TextView: UITextViewDelegate, UIScrollViewDelegate { func textViewDidChange(_ textView: UITextView) { if currentAction == nil { // Check for period insertion if disableDoubleSpacePeriodShortcut, let lastSpaceIndex = lastSpaceIndex, textView.textStorage.mutableString .character(at: lastSpaceIndex) == ".".utf16.first { textView.textStorage.mutableString.replaceCharacters(in: NSRange( location: lastSpaceIndex, length: 1 ), with: " ") } // Content was not pre-processed, so need to update everything if let newText = (delegate as? TextViewDelegate)?.textView?( self, replacementForText: text ), newText != text { DispatchQueue.main.async { self.text = newText } } else { updateLineCount() } } currentAction = nil (delegate as? UITextViewDelegate)?.textViewDidChange?(textView) if !wrapLines { previousSize = .zero setNeedsLayout() } } func textViewDidChangeSelection(_: UITextView) { // Scroll to caret position if !wrapLines, let range = textView.selectedTextRange?.start { var caretRect = convert(textView.caretRect(for: range), from: textView) caretRect = caretRect.insetBy(dx: -40, dy: 0) // allow breathing room caretRect.origin.x = max(0, caretRect.minX) if caretRect.minX < bounds.minX { setContentOffset(CGPoint(x: caretRect.minX, y: contentOffset.y), animated: true) } else if caretRect.maxX > bounds.maxX { let offset = contentOffset.x + (caretRect.maxX - bounds.maxX) setContentOffset(CGPoint(x: offset, y: contentOffset.y), animated: true) } } } private func replace(_ range: NSRange, with text: String, for action: String) { let oldText = textView.textStorage.mutableString.substring(with: range) let newRange = NSRange(location: range.location, length: text.utf16.count) textView.undoManager?.beginUndoGrouping() textView.undoManager?.registerUndo(withTarget: self) { $0.replace(newRange, with: oldText, for: action) } textView.undoManager?.setActionName(action) if textView.textStorage.mutableString.length == 0, let font = textView.font { // Prevent font being reset textView.textStorage.setAttributedString(.init( string: text, attributes: [.font: font, .foregroundColor: textColor] )) } else { textView.textStorage.mutableString.replaceCharacters(in: range, with: text) } textView.selectedRange = NSRange(location: newRange.upperBound, length: 0) if showLineNumbers { updateLineCount(oldText: oldText, newText: text) } textViewDidChange(textView) textView.undoManager?.endUndoGrouping() } private func updateLineCount(oldText: String, newText: String) { let count = newText.lineCount - oldText.lineCount if count != 0 { lineCount += count setNeedsLayout() } } private func fixRange(_ range: NSRange) -> NSRange { // Avoid splitting Windows (CRLF) linebreaks var range = range let string = textView.textStorage.mutableString if range.location > 0, range.location < string.length, string.character(at: range.location) == 10, string.character(at: range.location - 1) == 13 { range = NSRange(location: range.location - 1, length: range.length + 1) } else if range.length == 1, range.location < string.length - 1, string.character(at: range.location) == 13, string.character(at: range.location + 1) == 10 { range = NSRange(location: range.location, length: 2) } let rangeEnd = range.upperBound if range.length > 0, rangeEnd < string.length, string.character(at: rangeEnd) == 10, string.character(at: rangeEnd - 1) == 13 { range = NSRange(location: range.location, length: range.length - 1) } return range } func textView( _ textView: UITextView, shouldChangeTextIn range: NSRange, replacementText text: String ) -> Bool { lastSpaceIndex = nil guard undoManager?.isUndoing != true, undoManager?.isRedoing != true else { let uiBundle = Bundle(for: UITextView.self) func localized(_ key: String) -> String { uiBundle.localizedString(forKey: key, value: nil, table: nil) } let pasteActions = ["Paste", localized("Paste")] if pasteActions.contains(undoManager?.undoActionName ?? "") { // This is handled by TextView so we need to block the default return false } let dictationActions = ["Dictation", localized("Dictation")] if undoManager?.isUndoing == true, range.length == 0, dictationActions.contains(undoManager?.undoActionName ?? "") { // Block weird behavior where undoing Dictation immediately // tries to re-insert the text return false } return true } let newRange = fixRange(range) var actionName: String? currentAction = currentAction ?? .typing if currentAction == .cut { actionName = "Cut" UIPasteboard.general.string = textView.textStorage .mutableString.substring(with: newRange) } else if currentAction == .paste || currentAction == .drop { actionName = "Paste" } else if text.isEmpty { currentAction = .delete actionName = "Delete" } else if newRange.length > 0 { actionName = "Replace" } else if newRange != range || text.contains(where: { $0.isNewline }) || textView.textStorage.mutableString.substring(with: newRange).contains(where: { $0.isNewline }) { // Need special handling if either: // * replaced a selection // * had to adjust range // * replacement text contains newlines // * replaced text contained newlines actionName = "Typing" } var text = text switch text { case "\n" where indentNewLines: text = "\n" + self.text.indentForLine(at: newRange.location) actionName = actionName ?? "Typing" case " " where disableDoubleSpacePeriodShortcut: if range.location > 0, textView.textStorage.mutableString .character(at: range.location - 1) == " ".utf16.first { lastSpaceIndex = range.location - 1 } default: break } if let newText = (delegate as? TextViewDelegate)?.textView?( self, replacementForText: text ), newText != text { text = newText actionName = actionName ?? "Typing" } guard (delegate as? UITextViewDelegate)?.textView?( textView, shouldChangeTextIn: newRange, replacementText: text ) ?? true else { // TODO: fix bugs when undoing paste when returning false return false } guard let actionName = actionName else { return true } replace(newRange, with: text, for: NSLocalizedString(actionName, comment: "")) return false } func scrollViewDidScroll(_ scrollView: UIScrollView) { delegate?.scrollViewDidScroll?(scrollView) updateLineNumbers() } } extension TextView: UITextDragDelegate, UITextDropDelegate { private func setText(_ text: String?) { textView.undoManager?.beginUndoGrouping() let oldText = textView.text ?? "" textView.undoManager?.registerUndo(withTarget: self) { $0.setText(oldText) } let actionName = NSLocalizedString("Drag", comment: "") textView.undoManager?.setActionName(actionName) if let text = text { textView.text = text } textView.undoManager?.endUndoGrouping() } func textDroppableView(_: UIView & UITextDroppable, willPerformDrop drop: UITextDropRequest) { if drop.isSameView { currentAction = .drag setText(nil) } else { currentAction = .drop } } func textDroppableView(_: UIView & UITextDroppable, dropSessionDidEnd _: UIDropSession) { textViewDidChange(textView) } } extension TextView: NSLayoutManagerDelegate { func layoutManager(_: NSLayoutManager, didCompleteLayoutFor _: NSTextContainer?, atEnd _: Bool) { layoutManager.invalidateIndexRects() } func updateLineNumbers() { guard showLineNumbers else { return } gutterView.gutterWidth = layoutManager.gutterWidth gutterView.scrollOffset = textView.contentOffset.y gutterView.font = UIFontMetrics.default.scaledFont(for: font) gutterView.indexRects = Dictionary( uniqueKeysWithValues: layoutManager.indexRects.filter { $0.key <= lineCount } ) // Calculate final line rect, which may be missing or wrong if text.isEmpty { if let textContainer = layoutManager.textContainers.first { var rect = layoutManager.usedRect(for: textContainer) rect.origin.y = textView.textContainerInset.top gutterView.indexRects[1] = rect } } else if !wrapLines, text.last?.isNewline ?? false { // TODO: Find a way to calculate this if lines are wrapped if var rect = gutterView.indexRects[lineCount - 1] { rect.origin.y = rect.maxY gutterView.indexRects[lineCount] = rect } } gutterView.setNeedsLayout() } } private extension TextView { func avoidKeyboard() { NotificationCenter.default.addObserver( self, selector: #selector(keyboardWillShow), name: UIResponder.keyboardWillShowNotification, object: nil ) NotificationCenter.default.addObserver( self, selector: #selector(keyboardWillHide), name: UIResponder.keyboardWillHideNotification, object: nil ) } @objc func keyboardWillShow(_ notification: Notification) { if let userInfo = notification.userInfo, let rect = userInfo[UIResponder.keyboardFrameEndUserInfoKey] as? CGRect { _contentInset.bottom = rect.size.height - safeAreaInsets.bottom setNeedsLayout() } } @objc func keyboardWillHide(_: Notification) { _contentInset.bottom = .zero setNeedsLayout() } } private class LayoutManager: NSLayoutManager { private var lastParaLocation: Int = 0 private var lastParaNumber: Int = 0 var gutterWidth: CGFloat = 0 private(set) var indexRects: [Int: CGRect] = [:] private var indexRectsNeedUpdate: Bool = false func invalidateIndexRects() { indexRectsNeedUpdate = true } override func processEditing( for textStorage: NSTextStorage, edited editMask: NSTextStorage.EditActions, range newCharRange: NSRange, changeInLength delta: Int, invalidatedRange invalidatedCharRange: NSRange ) { super.processEditing( for: textStorage, edited: editMask, range: newCharRange, changeInLength: delta, invalidatedRange: invalidatedCharRange ) if invalidatedCharRange.location < lastParaLocation { lastParaLocation = 0 lastParaNumber = 0 indexRectsNeedUpdate = true } } override func drawBackground( forGlyphRange glyphsToShow: NSRange, at origin: CGPoint ) { super.drawBackground(forGlyphRange: glyphsToShow, at: origin) var gutterRect: CGRect = .zero var paraNumber = 0 let text = textStorage?.mutableString ?? "" if indexRectsNeedUpdate { indexRects.removeAll() indexRectsNeedUpdate = false } enumerateLineFragments( forGlyphRange: glyphsToShow ) { rect, _, _, glyphRange, _ in let charRange = self.characterRange( forGlyphRange: glyphRange, actualGlyphRange: nil ) let paraRange = text.paragraphRange(for: charRange) if charRange.location == paraRange.location { paraNumber = self.paraNumber(for: charRange, in: text) gutterRect = CGRect( x: origin.x, y: rect.origin.y + origin.y, width: self.gutterWidth, height: rect.size.height ) self.indexRects[paraNumber + 1] = gutterRect } } // TODO: can this ever happen? if glyphsToShow.upperBound > numberOfGlyphs { indexRects[paraNumber + 2] = gutterRect.offsetBy( dx: 0, dy: gutterRect.height ) } (delegate as? TextView)?.updateLineNumbers() } private func paraNumber(for charRange: NSRange, in text: NSString) -> Int { if charRange.location == lastParaLocation { return lastParaNumber } var paraNumber = lastParaNumber if charRange.location < lastParaLocation { text.enumerateSubstrings( in: NSRange( location: charRange.location, length: lastParaLocation - charRange.location ), options: [.byParagraphs, .substringNotRequired, .reverse] ) { _, _, enclosingRange, stop in if enclosingRange.location <= charRange.location { stop.pointee = true } paraNumber -= 1 } lastParaLocation = charRange.location lastParaNumber = paraNumber return paraNumber } text.enumerateSubstrings( in: NSRange( location: lastParaLocation, length: charRange.location - lastParaLocation ), options: [.byParagraphs, .substringNotRequired] ) { _, _, enclosingRange, stop in if enclosingRange.location >= charRange.location { stop.pointee = true } paraNumber += 1 } lastParaLocation = charRange.location lastParaNumber = paraNumber return paraNumber } } private class LineNumberView: UIView { private var numberViews: [UILabel] = [] var gutterWidth: CGFloat = 0 var scrollOffset: CGFloat = 0 var indexRects: [Int: CGRect] = [:] var font: UIFont = .preferredFont(forTextStyle: .body) override func layoutSubviews() { let atts: [NSAttributedString.Key: Any] = [ .font: font, .foregroundColor: UIColor.secondaryLabel, ] var numberViews = self.numberViews for (i, rect) in indexRects { let rect = rect.offsetBy(dx: 0, dy: -scrollOffset) if rect.maxY < 0 || rect.minY > bounds.height { continue } let text = String(i) let size = text.size(withAttributes: atts) let view = numberViews.popLast() ?? { let view = UILabel() self.numberViews.append(view) addSubview(view) return view }() UIView.performWithoutAnimation { view.attributedText = NSAttributedString( string: text, attributes: atts ) view.frame = rect.offsetBy( dx: bounds.width - size.width - 4, dy: 0 ) } } while let view = numberViews.popLast() { view.removeFromSuperview() self.numberViews.removeFirst() } } } ShapeScript-1.6.14/Viewer/iOS/TokenView.swift000066400000000000000000000051021450355336000207560ustar00rootroot00000000000000// // TokenView.swift // Subtext // // Created by Nick Lockwood on 23/08/2022. // import UIKit protocol TokenViewDelegate: TextViewDelegate { func tokens(for input: String) -> [TokenView.Token] func attributes( for tokenType: TokenView.TokenType ) -> [NSAttributedString.Key: Any] } class TokenView: TextView { struct TokenType: RawRepresentable, Hashable { var rawValue: String } struct Token: Hashable { var type: TokenType var range: Range } override func textViewDidChange(_ textView: UITextView) { super.textViewDidChange(textView) tokenize() } override var text: String { didSet { tokenize() } } override var font: UIFont { didSet { updateAttributes() } } override var textColor: UIColor { didSet { updateAttributes() } } private struct NSRangeToken { var type: TokenType var nsRange: NSRange } private var tokens: [NSRangeToken] = [] private func tokenize() { guard let tokenViewDelegate = delegate as? TokenViewDelegate else { tokens = [] return } let start = CFAbsoluteTimeGetCurrent() tokens = tokenViewDelegate.tokens(for: text).map { NSRangeToken(type: $0.type, nsRange: NSRange($0.range, in: text)) } let tokenized = CFAbsoluteTimeGetCurrent() print("tokenized", tokenized - start) updateAttributes() let attributed = CFAbsoluteTimeGetCurrent() print("attributed", attributed - tokenized) } private func updateAttributes() { guard let tokenViewDelegate = delegate as? TokenViewDelegate else { return } let textStorage = textView.textStorage textStorage.beginEditing() let wholeRange = NSRange(location: 0, length: textStorage.length) var baseAttributes = [NSAttributedString.Key: Any]() baseAttributes[.font] = textView.font baseAttributes[.foregroundColor] = textColor textStorage.setAttributes(baseAttributes, range: wholeRange) var tokenAttributes = [TokenType: [NSAttributedString.Key: Any]]() for token in tokens { let attributes = tokenAttributes[token.type] ?? { let attributes = tokenViewDelegate.attributes(for: token.type) tokenAttributes[token.type] = attributes return attributes }() textStorage.addAttributes(attributes, range: token.nsRange) } textStorage.endEditing() } } ShapeScript-1.6.14/Viewer/iOS/WhatsNew.rtf000066400000000000000000001565471450355336000202660ustar00rootroot00000000000000{\rtf1\ansi\ansicpg1252\cocoartf2639 \cocoatextscaling0\cocoaplatform0{\fonttbl\f0\fnil\fcharset0 HelveticaNeue-Bold;\f1\fnil\fcharset0 HelveticaNeue;} {\colortbl;\red255\green255\blue255;\red0\green0\blue0;} {\*\expandedcolortbl;;\cssrgb\c0\c0\c0\cname textColor;} \paperw11900\paperh16840\margl1440\margr1440\vieww24140\viewh18420\viewkind0 \deftab720 \f0\b \cf2 ShapeScript 1.6.14 \'97 2023-09-23\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.18 (fixes crash when building with Xcode 15).\ \ \f0\b \cf2 ShapeScript 1.6.13 \'97 2023-07-30\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed "Show Wireframe" menu item not updating correctly on iOS.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added error hint for misspelled else keyword.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added Value.errorDescription for clearer error messages.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed out of bounds crash in iOS source editor.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed some typesystem edge cases for optionals, unions and lists.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added checked angular types to help prevent mixed angle errors.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added regression tests for example shape files.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.15.\ \ \f0\b \cf2 ShapeScript 1.6.12 \'97 2023-07-08\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where structured data was flattened when returned from a block or function.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Source editor on iOS no longer closes when shape file is reloaded.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Disabled double space period shortcut in iOS source editor.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed orthographic checkbox not updating on iOS.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added Icosahedron example project.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved camera control docs.\ \ \f0\b \cf2 ShapeScript 1.6.11 \'97 2023-06-21\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where block options could clash with global functions of the same name.\ \ \f0\b \cf2 ShapeScript 1.6.10 \'97 2023-06-12\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Removed Reddit community links.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed precedence issue with `point`/`curve` commands (introduced in 1.6.9).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed broken importing of external model file formats (introduced in 1.6.8).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Block options can now be set conditionally within `if` blocks.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Overrides to global constants and functions are now usable inside block invocations.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where local defines in a block invocation were mistaken for options.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 The `point.color` member now returns an empty tuple instead of an error if unset.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed occasional blank screen glitch when first opening a file.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed iOS camera menu not updating after camera is moved.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.14.\ \ \f0\b \cf2 ShapeScript 1.6.9 \'97 2023-04-21\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed confusing function / operator precedence.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved scroll-to-cursor behavior in iOS source editor.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.13 (includes fix for cracking/holes issue).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added What's New in ShapeScript screen to iOS Viewer.\ \ \f0\b \cf2 ShapeScript 1.6.8 \'97 2023-04-16\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved static type inference for import statements.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed type error for constant transform overrides.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Removed OpenGL support for High Sierra.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed range precision issue.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added Linux CLI support.\ \ \f0\b \cf2 ShapeScript 1.6.7 \'97 2023-04-04\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `arc` command.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added vector algebra operators.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Setting unequal width/height no longer distorts corner radius for `roundrect` command.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `sign`, `dot`, `cross`, `length` and `normalize` functions.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added implicit casting between vector and size values.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Select Shape menu is now disabled when empty.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved argument error messages.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where modulo operator sometimes returned negative values.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug when mixing points and subpaths in a `path` command.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed retain cycle in iOS file dialog.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed potential crash in `selectCamera()` function.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Increased code sharing between Mac and iOS Viewer implementations.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.12.\ \ \f0\b \cf2 ShapeScript 1.6.6 \'97 2023-03-25\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 The position and transform of mesh and path values can now be set as if they were a block.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Setting name on a block that returns a path no longer makes the result unusable in a builder.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Constants and property symbols are no longer called "function" in error messages.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Removed unhelpful "did you mean" suggestions when a valid symbol is used in wrong context.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved error description for numeric list type.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed various bugs in the iOS source editor.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped SVGPath to version 1.1.3.\ \ \f0\b \cf2 ShapeScript 1.6.5 \'97 2023-03-02\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed performance regression in `GeometryType.bounds` when using lathe shapes.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed line number display in iOS source editor.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.11.\ \ \f0\b \cf2 ShapeScript 1.6.4 \'97 2023-02-28\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 The `bounds` and `polygons` members now correctly take object transform into account.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 ShapeScript Viewer for iPad now supports multiple viewer/editor windows.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed some bugs and improved editing experience for source editor on iOS.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where iOS editor would sometimes close spontaneously while editing.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `shapescript:` URL scheme and improved URL handling.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.10.\ \ \f0\b \cf2 ShapeScript 1.6.3 \'97 2023-01-31\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 iOS Viewer now supports editing `.shape` files directly inside the app.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `Edit > Select Shape` and `Clear Selection` menus in macOS viewer.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added selection hotkeys and VoiceOver support for macOS viewer.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed selection being cleared whenever geometry is refreshed.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed dynamic dark mode updates on iOS viewer.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed iOS split view bounds crash.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where camera hotkeys failed after reload.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed error overlay translucency.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed various member type bugs.\ \ \f0\b \cf2 ShapeScript 1.6.2 \'97 2023-01-16\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved info panel display.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed twisted extrusion offset.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed `roundrect` detail level (previously 4x higher than intended).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed incorrect output when intersecting groups of meshes.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Empty scenes are no longer hidden if they contain debug geometry.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Scene now conforms to Equatable protocol.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed misleading error message for excess color arguments.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed spurious forward declaration error for options that shadow global define.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added automatic casting of hex strings to colors (useful for JSON data).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Made `.polygon` members available on all geometries, not just manually-created meshes.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Excluded source location from Geometry equality comparisons.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed vector member access on tuples containing string elements.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed vector member access on nested numeric tuples.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed color member access on tuples and strings.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed polygon member lookup on meshes.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed handling of blocks with optional children (e.g. `polygon`).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved symbol lookup performance.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.8.\ \ \f0\b \cf2 ShapeScript 1.6.1 \'97 2023-01-02\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `twist` option to `extrude` command.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed inconsistent View menu options when switching between open documents.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.7.\ \ \f0\b \cf2 ShapeScript 1.6.0 \'97 2022-12-27\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added hull command for creating convex hulls from points, paths or other meshes.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added mesh command for manually creating meshes from individual polygons.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `axisAligned` property for controlling extrusion along paths.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added support for importing plain text files as a string and JSON files as a tuple.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added modulo operator for calculating remainder of division.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Significantly overhauled type system to support lists, unions and objects.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved static analysis, allowing type errors to be caught earlier.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved handling of background property scope.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 The min and max functions are now variadic (accept any number of arguments).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `split()`, `join()` and `trim()` functions for working with strings.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added automatic conversion of strings to numbers or boolean values where applicable.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `string.lines`, `.words` and `.characters` members.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `tuple.count`, `.last`, `.allButFirst` and `.allButLast` members.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed member lookup on numeric literals.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where material of imported shapes could not be overridden.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Background and texture can now be cleared by setting them to an empty string.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Logging geometry values to console now produces more useful output.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added proper logging for bounds and point values.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `fileTimedOut` and `circularImport` errors.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Refactored and improved error handling.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Renamed `ImportError` to `ProgramError`.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Raised minimum Euclid version to 0.6.6.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added Spirals example.\ \ \f0\b \cf2 ShapeScript 1.5.14 \'97 2022-12-18\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added support for C-style block comments using `/* ... */` syntax.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where source file could incorrectly be inferred as UTF-7, causing parsing errors.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed issue where error messages would sometimes suggest the same identifier you already used.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved script execution performance by making source location lookup lazy.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.6.\ \ \f0\b \cf2 ShapeScript 1.5.13 \'97 2022-12-08\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed crash when importing external `.shape` files.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 When error occurs in imported file, Cmd-E now opens that file instead of the main file.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.5.\ \ \f0\b \cf2 ShapeScript 1.5.12 \'97 2022-11-21\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.4 (includes fixes for single-point path crash and path extrusions).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed parsing ambiguity in tuple expressions where identifier is followed by opening paren.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved bounds accuracy for circle-based shapes.\ \ \f0\b \cf2 ShapeScript 1.5.11 \'97 2022-11-06\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed source code view on iOS.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed loading of external iCloud assets when file has not been downloaded.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 ShapeScript now monitors changes to external textures, fonts and imports on iOS.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Original topology for imported models is now preserved, instead of being triangulated.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved error messaging for file imports.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.2.\ \ \f0\b \cf2 ShapeScript 1.5.10 \'97 2022-10-29\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved documentation for strings and trigonometry functions.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed empty bounds returned for `lathe`, `fill`, `extrude` and `loft` shapes.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed runtime warning about postscript font names.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed range bug in error formatting logic.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed inconsistent handling of functions that return tuples.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed inconsistent member lookup handling.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.6.0.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed Linux build warnings.\ \ \f0\b \cf2 ShapeScript 1.5.9 \'97 2022-10-06\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed getting started link in Welcome modal.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Removed bad suggestions from editors list.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added iOS target for ShapeScript Viewer.\ \ \f0\b \cf2 ShapeScript 1.5.8 \'97 2022-10-03\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added shared `SCNGeometry` cache, significantly improving performance for scenes with repeated objects.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Significantly reduced time to calculate mesh stats (as displayed in object info window).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Optimized source line lookup that affected script execution performance.\ \ \f0\b \cf2 ShapeScript 1.5.7 \'97 2022-09-26\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where a `define` inside a block couldn't refer to `option` value.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug when parsing expressions ending in a `not` identifier.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where view unexpectedly jumped to custom camera after reload.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.30.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped LRUCache to version 1.0.3.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped SVGPath to version 1.1.1.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added iOS help pages.\ \ \f0\b \cf2 ShapeScript 1.5.6 \'97 2022-09-06\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added ability to copy the current camera configuration for easy creation of custom cameras.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved logic for when camera position is reset after document update or window resize.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where custom cameras did not correctly inherit the document background.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where scale was doubled for custom orthographic cameras.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed live updating of document background when switching between light and dark mode.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed race condition in view rendering sometimes resulting in a blank scene.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed member suggestions for empty tuple.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Renamed `Geometry(scnNode:)` initializer for consistency.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Deprecated `Geometry.cameras` accessor.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.29.\ \ \f0\b \cf2 ShapeScript 1.5.5 \'97 2022-08-11\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Significantly improved performance for bulk fill/extrude operations (e.g. text).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed camera position continuously being reset in ShapeScript Viewer while loading.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added indicator to Camera menu when camera has been moved.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.28.\ \ \f0\b \cf2 ShapeScript 1.5.4 \'97 2022-07-25\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed setting font inside a `text` command.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved error messages for missing block arguments.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Multiple arguments passed to `text` command are now treated as single coalesced string.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Extruding along a path now more reliably produces watertight output.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed parsing of tuple statements starting with constant.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed parsing of a prefix minus immediately followed by decimal point.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Increased detail multiplier for `svgpath` command to match path.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed `svgpath` crash when missing `M` command after `Z`.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed camera clipping issue when resizing objects.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.26.\ \ \f0\b \cf2 ShapeScript 1.5.3 \'97 2022-07-03\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 The `loft` command now supports joining shapes with unequal numbers of sides or points.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 The `fill`, `lathe` and `extrude` commands now more reliably produce watertight output.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed incorrect polygon/triangle counts in model info.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed line numbers in selected object info.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.25.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed some flaky tests.\ \ \f0\b \cf2 ShapeScript 1.5.2 \'97 2022-05-28\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where path lines were drawn too thin for large models.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved error messaging for invalid use of option.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed suggestions for misspelled commands.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.21.\ \ \f0\b \cf2 ShapeScript 1.5.1 \'97 2022-05-07\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Add implicit `detail/smoothing`, `color/texture`, `position/orientation/size` and `font` options to custom blocks .\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Logical `and/or` expressions now short circuit (don't evaluate their second parameter unless needed).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added support for creating `MaterialProperty` from `SCNMaterials` using `NS/UIImage`.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed setting camera position on locked documents (such as the Example projects).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added slightly stronger type safety when calling commands.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed axes contrast when using per-camera backgrounds.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed font inheritance for user-defined blocks.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added custom fonts to model info display.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added USDZ to list of supported export types.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved iOS compatibility.\ \ \f0\b \cf2 ShapeScript 1.5.0 \'97 2022-04-29\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added support for custom light sources using the `light` command.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added user-defined functions/commands (previously only blocks could be defined).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 The width and/or height for exported images can now be set on a per-camera basis.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `polygon` command for more easily creating regular polygon paths.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 The scene background can now be set individually for each camera.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Using `position`, `orientation` and `size` inside a `path` now works again (broken since 1.4.4).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Using `rnd` command in option default expressions no longer has a knock-on effect on the sequence.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Options can now reference local constants in their default values.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Material brightness logic used in Viewer app is now part of the ShapeScript core.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Using `wrapwidth` or `linespacing` text commands inside an `svgpath` block now raises an error.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed blank screen when scene contains empty `camera` node.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Removed `StatementType.block` case in favor of expression form.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed some bugs in path generation relating to point colors.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 The `OSColor` typealias is now private.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added SVGPath dependency.\ \ \f0\b \cf2 ShapeScript 1.4.7 \'97 2022-04-14\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Camera is no longer reset on every reload.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed camera snapback if moved during initial model load.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `smoothing` command for controlling surface normal generation.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Disallowed used of `detail` and `font` commands in scopes where they have no effect.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 The `svgpath` command now works on Linux.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.20.\ \ \f0\b \cf2 ShapeScript 1.4.6 \'97 2022-04-08\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed `svgpath` command (broken in 1.4.5).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where axes were rendered in the wrong color.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Watertight status is now displayed in object info panel.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 The `roundrect` command now works on Linux.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped LRUCache to version 1.0.3.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.18.\ \ \f0\b \cf2 ShapeScript 1.4.5 \'97 2022-03-07\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added support for setting per-vertex colors in a path.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Font, text color and linespacing can now be specified per-line within a text block.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed underestimated bounds calculation for extrusion along a path.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Made logic for child count calculation more consistent.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.17.\ \ \f0\b \cf2 ShapeScript 1.4.4 \'97 2022-01-21\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed infinite recursion crash when a shape file tries to import itself.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved error message when imported model file is not readable.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed assertion failure when evaluating imported block due to source confusion.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added stricter symbol checking in stdlib so, e.g. name can't be used inside a path.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug in viewer where examples always open in orthographic mode.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Imported gifs are now counted as textures rather than models in info panel.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Model type is now displayed correctly in info panel.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed some iOS compatibility issues.\ \ \f0\b \cf2 ShapeScript 1.4.3 \'97 2021-12-25\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 ShapeScript will now attempt to ensure generated meshes are watertight by default.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed unintended behavior change with blocks returning multiple shapes (introduced in 1.3.7).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed precondition failure when calling a block from inside a `path` command.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Camera nodes are no longer included in object count in model info.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Handle repeated parameter lists without command tokens in `svgpath`.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added additional `svgpath` error handling.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.15.\ \ \f0\b \cf2 ShapeScript 1.4.2 \'97 2021-12-10\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 The `svgpath` command now supports arc instructions ('A' and 'a').\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug in `svgpath` affecting absolute horizontal ('H') and vertical ('V') lines.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Save panel in viewer now adds `.shape` extension to file name if not present.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Made online documentation link logic more robust.\ \ \f0\b \cf2 ShapeScript 1.4.1 \'97 2021-11-22\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where `along` property was ignored in `extrude` command.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed wireframe rendering mode in viewer.\ \ \f0\b \cf2 ShapeScript 1.4.0 \'97 2021-11-03\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added user-defined cameras.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added boolean constants and operators.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added comparison operators (greater than, equals, etc).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `if`/`else` statements.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `assert` command.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved suggestions for mistyped operators.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Replaced range expression with separate `to` and `step` operators.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Failure to load an external model now displays an error instead of failing silently.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added distinct error type for invalid text escape sequences.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Simplified identifier expression representation.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Converted `option` keyword to contextual keyword.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `Geometry.worldTransform` property.\ \ \f0\b \cf2 ShapeScript 1.3.10 \'97 2021-11-01\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 DAE files containing triangle strips or non-triangular polygons are now loaded correctly.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed empty Geometry names not being set to nil.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed broken footer links in help pages.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to version 0.5.14.\ \ \f0\b \cf2 ShapeScript 1.3.9 \'97 2021-10-22\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added multiple camera options.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added orthographic view option.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Reorganized camera menu and keyboard shortcuts.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 View settings are now saved per-document instead of globally.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where camera would reset when toggling wireframe mode.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Documents now open in tabs automatically when tab bar is shown.\ \ \f0\b \cf2 ShapeScript 1.3.8 \'97 2021-10-10\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `svgpath` command for creating paths using SVG-compatible syntax.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `bounds` member property for calculating dimensions of complex shapes.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `wrapwidth` and `linespacing` options for text.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved debug command behavior for children of CSG containers.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug when setting `background` color with a single number (e.g. `0` for black).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where only first expression argument was highlighted in a type-mismatch error.\ \ \f0\b \cf2 ShapeScript 1.3.7 \'97 2021-09-26\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added debug command for highlighting invisible geometry.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Custom blocks can now return any value type, not just meshes or paths.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Infix expressions are now handled correctly when used in a statement position.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved type mismatch error messages for block parameters.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 String values are no longer nullable and empty strings are handled more correctly.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Nested command calls without parentheses are now handled correctly.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved type reporting for single-value tuples in error messages.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Updated print behavior to better match text interpolation.\ \ \f0\b \cf2 ShapeScript 1.3.6 \'97 2021-09-21\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added text interpolation, allowing text strings to be constructed dynamically.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Import and textures file paths can now be constructed dynamically.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Alpha component of colors can now be overridden with a convenient syntax.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Removed confusing references to "string" and "identifier" from error messages.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added ability to load text fonts from a file name or path.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where font getter returned texture instead.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved help documentation.\ \ \f0\b \cf2 ShapeScript 1.3.5 \'97 2021-09-19\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Numbers can now be used in text blocks.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug with times/divide operator associativity.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed default zoom level in viewer when axes are shown.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug in scene bounds calculation when children have a transform applied.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved error message for missing files specified by full path.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Limited maximum lineWidth when rendering paths.\ \ \f0\b \cf2 ShapeScript 1.3.4 \'97 2021-09-17\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 The position/size/orientation options can now be used inside `text` blocks.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed parsing error when using inline expressions in loop range.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Unsupported string escape sequences are now treated as an error.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Command parameters are now included in assertion failure error highlighting.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug with sequential escape sequences in text.\ \ \f0\b \cf2 ShapeScript 1.3.3 \'97 2021-09-14\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed crash when font is set to an empty string.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed incorrect suggestion of `option` for typos in contexts where it isn't available.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Print logging in a long/infinite loop no longer freezes UI.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Help index is now generated automatically.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved help for colors and text.\ \ \f0\b \cf2 ShapeScript 1.3.2 \'97 2021-09-13\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added stack overflow detection, preventing crashes due to infinite recursion.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added support for underscores in identifiers.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Empty and single-element tuples are now permitted (useful in loops and data structures).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Looping over vector, size and color values is no longer permitted (only tuples and ranges).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Geometry `Hashable` implementation is now based on value rather than reference.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to 0.5.12, which fixes the getters for `Rotation.pitch`/`yaw`/`roll`.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Shape position/orientation/size are now read/write properties instead of setters.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Wireframes are now rendered with polygons instead of lines on x86, for better quality.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added open/create document prompt when opening app.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved Welcome view.\ \ \f0\b \cf2 ShapeScript 1.3.1 \'97 2021-09-07\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Disabled axes by default and added instructions for enabling to help.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added ordinal members for accessing arbitrary tuple elements.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed rendering bug when using negative scale values.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where functions were able to access local variables of the caller.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed dot operator (member lookup) chaining.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added documentation for tuples and structured data access.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to 0.5.11, which includes several performance optimizations.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed issue where console would not clear correctly when reloading.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed hint message when missing closing brace.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `colour` and `grey` as aliases for `color` and `gray`.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Made stroke line width proportional to the scene size.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved logic for default camera zoom level.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Increase antialiasing quality in viewer.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Updated screenshots and fixed bugs in help examples.\ \ \f0\b \cf2 ShapeScript 1.3.0 \'97 2021-08-31\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added new standalone range expression with optional `step` value.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 For loops can now be used with either range or tuple/vector values.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added support for hex color literals.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added standard color names as constants.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Inherited standard library symbols no longer override user-defined constants.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 All ShapeScript value types now conform to `AnyHashable`.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Removed `CustomStringConvertible` conformance from `GeometryType` as it made debugging harder.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Renamed `StatementType.node` to `StatementType.block`, since the term was confusing.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to 0.5.10, which includes several bug fixes and features.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed crash when trying to access vector or color members from a non-numeric tuple.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed crash when trying to color members from a tuple with more than 4 elements.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Accessing vector members on a tuple with more than 3 elements now raises an error.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Made unchecked Color initializer private.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Removed SceneViewController.snapshot() method.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added option to show axes in ShapeScript Viewer.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Wireframe view option in viewer is now rendered using lines instead of SceneKit Debug option.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Made wireframe view option persistent across app launches.\ \ \f0\b \cf2 ShapeScript 1.2.4 \'97 2021-08-25\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed a crash when logging large integer values.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where negative numbers would be logged as zero when using the print command.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved formatting of logged numeric values generally.\ \ \f0\b \cf2 ShapeScript 1.2.3 \'97 2021-08-24\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Enabled parenthesized expressions to span multiple lines.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved error message when assigning multiple values to single type.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed assigning color literal value to background without parens.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added Color initializers.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added SceneViewController.snapshot() method.\ \ \f0\b \cf2 ShapeScript 1.2.2 \'97 2021-08-24\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Blocks that accept child values can now be called without braces around them.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed confusing error messages caused by mesh commands being unavailable in certain scopes.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Made script evaluation cancellable in case of infinite iteration or recursion.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug in Viewer app where view fails to refresh after loading geometry.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved and simplified error handling logic.\ \ \f0\b \cf2 ShapeScript 1.2.1 \'97 2021-08-19\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed crash when `for` loop end index < start index.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved `print` log output, especially for arrays/tuples and nested values.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added `Loggable` protocol for stringifying values logged using the ShapeScript `print` command.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Replaced `TokenType.description` with `TokenType.errorDescription` to aid debugging.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Text now supports using \n for line-breaks (this was documented as working, but never implemented).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed confusing error message when first value of tuple matches expected type.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed nonsensical error message when a command is used in an expression.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to 0.5.9, which includes fixes for extruded paths.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Extruding along a compound path now forms a union between the resultant shapes.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed typos and improved help documentation.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed member lookup precedence.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved test coverage.\ \ \f0\b \cf2 ShapeScript 1.2.0 \'97 2021-08-15\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved progressive rendering logic, reducing wait before seeing first results in viewer.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Geometry cache is now limited to ~1GB per open document instead of being unbounded.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Cached geometry is now cleared when document is closed instead of persisting for app lifetime.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Invalid font names now produce an error instead of silently falling back to Helvetica.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Paths are now drawn in white when background is set to a dark color or texture.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed an index out-of-bounds crash in the Levenshtein distance function.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to 0.5.8, which includes several bug fixes.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Renamed `GeometryType.none` to the more descriptive `GeometryType.group`.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Made `Geometry.mesh` and `Geometry.associatedData` properties thread-safe using `NSLock`.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Removed `Scene.deepCopy()` and `Geometry.deepCopy()` methods as instances are now thread-safe.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Moved selection logic out of `ShapeScriptLib` and into Viewer example application.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug in Viewer where geometries would be deselected during progressive loading.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added LRUCache dependency.\ \ \f0\b \cf2 ShapeScript 1.1.6 \'97 2021-08-04\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Paths are now drawn using polygons strips, which looks sharper and renders more consistently.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Made further improvements to cancelling in-progress rendering when reloading a file.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid to 0.5.4, which includes several bug fixes and performance improvements.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved performance when rendering scenes with nested CSG operations or groups.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed rendering and bounds calculation of non-planar extruded shapes.\ \ \f0\b \cf2 ShapeScript 1.1.5 \'97 2021-08-02\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Info window in ShapeScript Viewer no longer includes imported models in texture count.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed a regression in ShapeScript Viewer 1.1.4 where error message wouldn't refresh correctly on reload.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved error messaging for errors that occur in an imported file.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Reloading a partially-rendered scene should now terminate the rendering more quickly, freeing up CPU.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Rendering is now cancelled when document is closed (previously it continued in background).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved responsiveness of incremental rendering for complex scenes.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Program `source` and `statements` properties are now public .\ \ \f0\b \cf2 ShapeScript 1.1.4 \'97 2021-07-31\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Increased time precision of document file monitoring in ShapeScript Viewer app.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved threading a progress logging in ShapeScript Viewer app.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added Linux support for ShapeScriptLib (excluding rendering and text functions).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Made static color constants immutable.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid version to 0.5.3.\ \ \f0\b \cf2 ShapeScript 1.1.3 \'97 2021-07-10\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed assertion failure if a parsing error occurs at the last character in the `.shape` file.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug in Path plane calculation that could result in corrupted extrusion shapes.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed a tessellation bug affecting anti-clockwise polygons.\ \ \f0\b \cf2 ShapeScript 1.1.2 \'97 2021-07-03\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed bug where CRLF was treated as two separate linebreaks, resulting in a crash.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Error column indicator is now better aligned when code contains wide characters (e.g. emoji).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed inverted black/white squares on chessboard example.\ \ \f0\b \cf2 ShapeScript 1.1.1 \'97 2021-06-26\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed operator associativity (addition/subtraction were previously right-associative).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Performing CSG operations on complex geometry no longer causes a stack overflow.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid version to 0.4.5.\ \ \f0\b \cf2 ShapeScript 1.1.0 \'97 2021-04-08\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added support for background colors and images.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added debug console.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Improved ShapeScript error handling.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Object names are now included in info popup.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Upgraded project to Swift 5.1.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid version to 0.4.0.\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Fixed Xcode warnings.\ \ \f0\b \cf2 ShapeScript 1.0.1 \'97 2020-09-03\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 Added iOS and tvOS support to ShapeScript framework (Viewer app is still macOS only).\ \ \'95 \f1\b0 \expnd0\expndtw0\kerning0 Bumped Euclid version to 0.3.5.\ \ \f0\b \cf2 ShapeScript 1.0.0 \'97 2020-09-02\ \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \cf2 \kerning1\expnd0\expndtw0 \f1\b0 \expnd0\expndtw0\kerning0 \'95 \f1\b0 \expnd0\expndtw0\kerning0 First release.\ \ }ShapeScript-1.6.14/Viewer/iOS/WhatsNewViewController.swift000066400000000000000000000016251450355336000235100ustar00rootroot00000000000000// // WhatsNewViewController.swift // Viewer (iOS) // // Created by Nick Lockwood on 23/04/2023. // Copyright © 2023 Nick Lockwood. All rights reserved. // import UIKit func loadRTF(_ file: String) throws -> NSAttributedString { let file = Bundle.main.url(forResource: file, withExtension: "rtf")! let data = try! Data(contentsOf: file) return try NSAttributedString(data: data, documentAttributes: nil) } class WhatsNewViewController: UIViewController { @IBOutlet private var textView: UITextView! override func viewDidLoad() { super.viewDidLoad() title = "What's New in ShapeScript?" textView.attributedText = try! loadRTF("WhatsNew") navigationItem.leftBarButtonItem = UIBarButtonItem( systemItem: .close, primaryAction: UIAction { [weak self] _ in self?.dismiss(animated: true) } ) } } ShapeScript-1.6.14/docs/000077500000000000000000000000001450355336000147645ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.5.10/000077500000000000000000000000001450355336000155065ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.5.10/ios/000077500000000000000000000000001450355336000163005ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.5.10/ios/blocks.md000066400000000000000000000047461450355336000201120ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/1.5.10/ios/bounds.md000066400000000000000000000056521450355336000201240ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needed to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/1.5.10/ios/builders.md000066400000000000000000000121251450355336000204340ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D model: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` ![Prism](../../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../../images/roundrect-extrusion.png) ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } translate 0 0 2 // triangle 2 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../../images/loftshape.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/1.5.10/ios/camera-control.md000066400000000000000000000024761450355336000215410ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled via touch gestures. The camera is not part of the file itself, and moving it will not change the file in any way. ## Camera Selection By default, the camera is positioned along the Z axis, looking down at the model. The distance of the camera from the origin is set automatically based on the bounding sphere of the model. You can choose a different camera angle from the camera menu in the top right of the screen. [Custom cameras](cameras.md#custom-cameras) can be defined programatically. To reset the current camera to its default position, select `Reset View`. ## Touch Controls Motion | Action :--------------------------- | :-------------------------- Rotate model | Swipe with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Pinch Roll | Pinch, then rotate fingers ## Copy Settings To copy the configuration for the current camera view, select `Copy Settings` from the camera menu. This will copy a snippet of ShapeScript code which you can then paste into your `.shape` file to define a [custom camera](cameras.md#custom-cameras). --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/1.5.10/ios/cameras.md000066400000000000000000000123451450355336000202420ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your models from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../../images/custom-camera-menu-ios.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#rendering-an-image): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/1.5.10/ios/commands.md000066400000000000000000000143221450355336000204250ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the model, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#rendering-an-image). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your model is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/1.5.10/ios/comments.md000066400000000000000000000013451450355336000204520ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a model. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/1.5.10/ios/control-flow.md000066400000000000000000000111131450355336000212440ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your model might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/1.5.10/ios/csg.md000066400000000000000000000075741450355336000174130ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The model on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../../images/group-vs-difference.png) The subtracted shape is removed from the resultant model, but leaves an impression in the object it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque model the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The model on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The model on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a model. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/1.5.10/ios/debugging.md000066400000000000000000000053001450355336000205530ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/1.5.10/ios/examples.md000066400000000000000000000032401450355336000204370ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../../images/earth.png) ## Spring The Spring example demonstrates advanced use of the [loft](builders.md#loft) command to create a coiled spring shape. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spring](../../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.5.10/ios/export.md000066400000000000000000000125101450355336000201420ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D model, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript Mac App](https://apps.apple.com/app/id1441135869). Export is not available in the free ShapesScript Viewer for Mac and iOS.** To export your model, select the `File > Purchase Export Feature…` menu (**Cmd-Shift-E**) to unlock the export functionality. Once unlocked, this menu will change to `Export…`. **Note:** If the `Export…` menu is grayed-out, it is most likely because your model is still loading. Wait for the loading spinner in the top-left of the ShapeScript document window to finish before trying to export. ![Loading](../../images/loading.png) ShapeScript can export your model in a variety of formats, selectable from the export window: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
**Note:** Not all formats support all features of ShapeScript models, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## 3D Games and Augmented Reality ShapeScript models are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use SCN(Z) files with Apple's SceneKit and ARKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in STL format, used by many 3D printing applications. Just use `stl` as the file extension when exporting your model for printing. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript uses the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the ShapeScript preferences to export models in this orientation. ## Rendering an Image In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ gif | Graphics Interchange Format | Yes png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No jpf / jp2 | JPEG 2000 | Yes tif / tiff | Tagged Image File Format | Yes bmp | Bitmap | No
If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. The size of the exported image defaults to the current window size and display resolution. You can override this size by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions): Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a ray tracing program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/1.5.10/ios/expressions.md000066400000000000000000000160321450355336000212060ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value
Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison In addition to the standard arithmetic operators, ShapeScript also has equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else). The following infix comparison operators are supported: Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
**Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Boolean Algebra In addition to the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members There are currently no vector or matrix math operators such as dot product or vector addition, but these are mostly not needed in practice due to the [relative transform](transforms.md#relative-transforms) commands. It is however possible to use vector, size, rotation or [color](materials.md#color) values in expressions by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/1.5.10/ios/functions.md000066400000000000000000000154631450355336000206430ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two values: ```swift min 2 4 // returns 2 min 5 -5.1 // returns -5.1 ``` The `max` function returns the higher of two values: ```swift max 2 4 // returns 4 max 5 -5.1 // returns 5 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry is ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript half-turn value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript half-turn value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :---------------------| :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to half-turns | halfturns = degrees / 180 Half-turns to degrees | degrees = halfturns * 180 Radians to half-turns | halfturns = degrees / pi Half-turns to radians | radians = halfturns * pi
Common values: Angle in degrees | Angle in radians | Angle in half-turns :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/1.5.10/ios/getting-started.md000066400000000000000000000170471450355336000217400ustar00rootroot00000000000000Getting Started --- ShapeScript Viewer for iOS is designed for opening and exploring 3D models and scenes that use the ShapeScript `.shape` file format. If you do not have any existing ShapeScript files, you can create one using the `+` button. You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. ![New file modal](../../images/new-file-ios.png) After pressing OK you should see a new screen appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../../images/new-document-ios.png) ## Viewing Drag your finger inside the window and you will notice that the three objects appear to rotate. You are not actually moving the objects themselves, but rotating the camera around them. To return to the original orientaton, tap the camera icon in the top-right and select `Reset View`. To help you orient yourself, you can enable the `Show Axes` option in the camera menu, which displays the direction of the X, Y and Z axes. ![Show axes](../../images/show-axes-ios.png) For more information about navigating around the model, see [Camera Control](camera-control.md). ## Editing ShapeScript Viewer does not include an editor. To edit your `.shape` file you will need to open your `.shape` file in a separate text editor such as [Subtext](https://apps.apple.com/app/subtext/id1606625287) or [Runestone](https://apps.apple.com/app/runestone-text-editor/id1548193893). Once opened, the file should look something like this: ![Subtext editor](../../images/subtext-ios.png) ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. Subtext is free, but does not support syntax coloring or some of the other programmer-friendly features of more advanced editors. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Runestone) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. If you are using an iPad, you can use the [Split View](https://support.apple.com/en-gb/guide/ipad/ipad08c9970c/ipados) feature to show both ShapeScript Viewer and your text editor on screen simultaneously: ![Split View](../../images/split-view-ios.png) **Note:** Not all iOS text editors support *live editing* (where changes in the text are reflected automatically in ShapeScript as you make them). You may find you have to explicitly save or close the document in your editor for changes to take effect. ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. ShapeScript models are made out of flat polygons, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many polygons will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your models so that you avoid having to work with very large scales (thousands of units), or very small scales (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assume to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../../images/yellow-cube-ios.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../../images/error-screen-ios.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use undo feature in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection You can get information about your model (such as polygon count and overall dimensions) by tapping the info icon in the top-right corder of the screen. If a particular part of your model doesn't look right, you can tap to select it in the viewer, then get info on just the selected part. This will also tell you which line in the script file defines that component. ![Object info](../../images/object-info-ios.png) --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/1.5.10/ios/glossary.md000066400000000000000000000032301450355336000204630ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Half-turn | The unit used to specify angles or rotations in ShapeScript Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/1.5.10/ios/groups.md000066400000000000000000000025141450355336000201430ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs, etc. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [options](options.md) (material, detail, etc.) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the position of subsequent shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../../images/group.png) **Note:** Changes made to properties such as transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/1.5.10/ios/import.md000066400000000000000000000045061450355336000201410ustar00rootroot00000000000000Import --- ShapeScript files can get quite large for complicated models, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` The `import` command loads an external ShapeScript file and evaluates it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](examples.md) ShapeScript-1.6.14/docs/1.5.10/ios/index.md000066400000000000000000000122141450355336000177310ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Camera Control](camera-control.md) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Groups](groups.md) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Literals](literals.md) - [Strings](literals.md#strings) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Trigonometry](functions.md#trigonometry) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Dynamic Imports](import.md#dynamic-imports) - [Examples](examples.md) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.5.10/ios/lights.md000066400000000000000000000130111450355336000201100ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a model for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/1.5.10/ios/literals.md000066400000000000000000000131651450355336000204470ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a decimal literal false // a boolean literal "hello" // a string literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` ## Strings Strings are how human-readable text is represented in ShapeScript. These are used for a variety of purposes, including specifying file names for [imports](import.md) or [textures](materials.md#texture), [logging](debugging.md#logging) debug information to the console, or even rendering 3D text. String literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. If you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a string literal without a closing `"` is treated as an error, so if you need to include line-breaks in your string then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the string. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). A tuple of numeric values is also known as a *vector*. Vectors are used in ShapeScript to represent positions, colors, sizes and rotations. Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` You can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers. They can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily, in order to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, etc.) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.first // name print data.second // position print data.third // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/1.5.10/ios/materials.md000066400000000000000000000220051450355336000206020ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using [string interpolation](text.md#interpolation), which is useful if you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../../images/sandbox-error-ios.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is wrapped around the model depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../../images/textured-cube.png) ![Textured sphere](../../images/textured-sphere.png) ![Textured cylinder](../../images/textured-cylinder.png) ![Textured cone](../../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/1.5.10/ios/options.md000066400000000000000000000134241450355336000203210ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a texture value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name is not displayed in the app, and currently has no use within ShapeScript itself, however it can be useful for identifying distinct shape components when importing an exported ShapeScript model into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a model that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/1.5.10/ios/paths.md000066400000000000000000000175561450355336000177570ustar00rootroot00000000000000Paths --- A path is a sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a 3D model (except possibly for something like a thin rope or antenna), but they can be used to define the contours of a 3D mesh (see [builders](builders.md) for details). ## Points You define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be three-dimensional, so `point` accepts up to three coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of zero). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point must have the same position. The following path has four points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves in ShapeScript are created using [quadratic Béziers curves](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. As discussed in the [primitives section](primitives.md), 3D shapes are constructed from flat polygons, so likewise, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift detail 99 path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../../images/octocircle.png) ## Circles There is actually an easier way to create a circular path, which is to use the `circle` command: ```swift circle ``` The result of calling `circle` is visually almost indistinguishable from the Bézier-based solution above (at a sufficiently high detail level), but you don't have to worry about calculating the positions of the control points. Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../../images/roundrect.png) ## Regular Polygons To create a regular polygon you can use the `polygon` command. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/1.5.10/ios/primitives.md000066400000000000000000000053361450355336000210240ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct simple models. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) and [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of polygons, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/1.5.10/ios/scope.md000066400000000000000000000035721450355336000177420ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines sub-objects in your model can use transforms and materials internally without the effects "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/1.5.10/ios/symbols.md000066400000000000000000000052541450355336000203200ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/1.5.10/ios/text.md000066400000000000000000000163701450355336000176150ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [string interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use string interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty string literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% text "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% text "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [string interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/1.5.10/ios/transforms.md000066400000000000000000000147101450355336000210230ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)). This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. For example the following code applies a pitch of 45 degrees followed by a roll of 80 degrees, which would be very difficult to express as a single `rotate` or `orientation` instruction due to the fixed roll-yaw-pitch order: ```swift rotate 0 0 0.25 // pitch 45 degrees rotate 0.4 0 0 // roll 80 degrees cube ``` --- [Index](index.md) | Next: [Bounds](bounds.md) ShapeScript-1.6.14/docs/1.5.10/mac/000077500000000000000000000000001450355336000162465ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.5.10/mac/blocks.md000066400000000000000000000047461450355336000200600ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/1.5.10/mac/bounds.md000066400000000000000000000056521450355336000200720ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needed to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/1.5.10/mac/builders.md000066400000000000000000000121251450355336000204020ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D model: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` ![Prism](../../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../../images/roundrect-extrusion.png) ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } translate 0 0 2 // triangle 2 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../../images/loftshape.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/1.5.10/mac/camera-control.md000066400000000000000000000037201450355336000215000ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled via a mouse or trackpad. The camera is not part of the file itself, and moving it will not change the file in any way. ## Camera Selection By default, the camera is positioned along the Z axis, looking down at the model. The distance of the camera from the origin is set automatically based on the bounding sphere of the model. You can choose a different camera angle from the `View > Camera` menu. [Custom cameras](cameras.md#custom-cameras) can be defined programatically. To reset the current camera to its default position, select the `View > Camera > Reset` menu, or press **Cmd-0** on the keyboard. ## Mouse Control **Note:** The instructions below assume the use of an Apple Magic Mouse. Controls for other mice may differ. Motion | Action :--------------------------- | :-------------------------- Rotate model | Hold the mouse button and drag Pan up/down/left/right | Either swipe the mouse surface with one finger, or hold Shift + mouse button and drag Zoom in and out | Hold Shift, then swipe up or down on the mouse surface with one finger
## Trackpad Control Motion | Action :--------------------------- | :-------------------------- Rotate model | Click and drag with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Either pinch, or hold Shift + swipe up or down with two fingers Roll | Pinch, then rotate fingers
## Copy Settings To copy the configuration for the current camera view, select `View > Copy Camera Settings`, or press **Cmd-Shift-C** on the keyboard. This will copy a snippet of ShapeScript code that you can paste into your `.shape` file to define a [custom camera](cameras.md#custom-cameras). --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/1.5.10/mac/cameras.md000066400000000000000000000123411450355336000202040ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your models from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../../images/custom-camera-menu.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#rendering-an-image): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/1.5.10/mac/commands.md000066400000000000000000000143221450355336000203730ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the model, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#rendering-an-image). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your model is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/1.5.10/mac/comments.md000066400000000000000000000013451450355336000204200ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a model. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/1.5.10/mac/control-flow.md000066400000000000000000000111131450355336000212120ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your model might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/1.5.10/mac/csg.md000066400000000000000000000075741450355336000173610ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The model on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../../images/group-vs-difference.png) The subtracted shape is removed from the resultant model, but leaves an impression in the object it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque model the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The model on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The model on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a model. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/1.5.10/mac/debugging.md000066400000000000000000000053001450355336000205210ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/1.5.10/mac/examples.md000066400000000000000000000032401450355336000204050ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../../images/earth.png) ## Spring The Spring example demonstrates advanced use of the [loft](builders.md#loft) command to create a coiled spring shape. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spring](../../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.5.10/mac/export.md000066400000000000000000000125101450355336000201100ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D model, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript Mac App](https://apps.apple.com/app/id1441135869). Export is not available in the free ShapesScript Viewer for Mac and iOS.** To export your model, select the `File > Purchase Export Feature…` menu (**Cmd-Shift-E**) to unlock the export functionality. Once unlocked, this menu will change to `Export…`. **Note:** If the `Export…` menu is grayed-out, it is most likely because your model is still loading. Wait for the loading spinner in the top-left of the ShapeScript document window to finish before trying to export. ![Loading](../../images/loading.png) ShapeScript can export your model in a variety of formats, selectable from the export window: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
**Note:** Not all formats support all features of ShapeScript models, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## 3D Games and Augmented Reality ShapeScript models are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use SCN(Z) files with Apple's SceneKit and ARKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in STL format, used by many 3D printing applications. Just use `stl` as the file extension when exporting your model for printing. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript uses the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the ShapeScript preferences to export models in this orientation. ## Rendering an Image In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ gif | Graphics Interchange Format | Yes png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No jpf / jp2 | JPEG 2000 | Yes tif / tiff | Tagged Image File Format | Yes bmp | Bitmap | No
If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. The size of the exported image defaults to the current window size and display resolution. You can override this size by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions): Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a ray tracing program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/1.5.10/mac/expressions.md000066400000000000000000000160321450355336000211540ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value
Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison In addition to the standard arithmetic operators, ShapeScript also has equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else). The following infix comparison operators are supported: Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
**Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Boolean Algebra In addition to the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members There are currently no vector or matrix math operators such as dot product or vector addition, but these are mostly not needed in practice due to the [relative transform](transforms.md#relative-transforms) commands. It is however possible to use vector, size, rotation or [color](materials.md#color) values in expressions by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/1.5.10/mac/functions.md000066400000000000000000000154631450355336000206110ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two values: ```swift min 2 4 // returns 2 min 5 -5.1 // returns -5.1 ``` The `max` function returns the higher of two values: ```swift max 2 4 // returns 4 max 5 -5.1 // returns 5 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry is ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript half-turn value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript half-turn value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :---------------------| :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to half-turns | halfturns = degrees / 180 Half-turns to degrees | degrees = halfturns * 180 Radians to half-turns | halfturns = degrees / pi Half-turns to radians | radians = halfturns * pi
Common values: Angle in degrees | Angle in radians | Angle in half-turns :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/1.5.10/mac/getting-started.md000066400000000000000000000174651450355336000217120ustar00rootroot00000000000000Getting Started --- Start by creating a new ShapeScript document. You can do this by selecting `File > New` in the menu bar (or by pressing **Cmd-N** on the keyboard). You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. **Note:** If you cannot see the file prompt, check that it hasn't appeared *behind* this help window. The help window floats in front of all other windows and applications, so you may need to move it out of the way. You should see a new window appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../../images/new-document-mac.png) ## Viewing Drag your mouse cursor inside the window and you will notice that the three objects appear to rotate. You are not actually moving the objects themselves, but rotating the camera around them. To reset the view, select `View > Camera > Reset` or press **Cmd-0**. To help you orient yourself, you can use the `View > Show Axes` option, which displays the direction of the X, Y and Z axes. ![Show axes](../../images/show-axes-mac.png) For more information about navigating around the model, see [Camera Control](camera-control.md). ## Editing To edit the 3D model, select the `Edit > Open in Editor` menu or press **Cmd-E**. ShapeScript does not include an editor. Instead, the `Open in Editor` command will ask you to select an external text editor to use. If you do not have any other editors installed, the default option will probably be TextEdit. Once opened, the file should look something like this: ![TextEdit window](../../images/textedit-mac.png) ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. TextEdit will work, but is probably not the best choice as it does not support syntax coloring or any of the other programmer-friendly features of modern editors. If you have a more advanced editor such as [SubEthaEdit](https://subethaedit.net), [TextMate](https://macromates.com), [Sublime Text](https://www.sublimetext.com) or [Atom](https://atom.io) then it would be better to use one of these. An Integrated Development Environment (IDE) such as [Xcode](https://developer.apple.com/xcode/) is also a good option. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Xcode) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. ShapeScript will only ask you which editor you want to use the *first* time you edit a file, then it will remember your choice. If you change your mind later, you can select a different editor in Preferences (select the `ShapeScript > Preferences…` menu or press **Cmd-,**). ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. ShapeScript models are made out of flat polygons, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many polygons will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your models so that you avoid having to work with very large scales (thousands of units), or very small scales (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assume to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../../images/yellow-cube-mac.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../../images/error-screen-mac.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use the `Edit > Undo` menu in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection You can get information about your model (such as polygon count and overall dimensions) by selecting `View > Model Info` (**Cmd-I**) in the menu bar. If a particular part of your model doesn't look right, you can click to select it in the viewing window, and then use `View > Model Info` (**Cmd-I**) to get info on just the selected part. This will also tell you which line in the script file defines that component. ![Object info](../../images/object-info-mac.png) --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/1.5.10/mac/glossary.md000066400000000000000000000032301450355336000204310ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Half-turn | The unit used to specify angles or rotations in ShapeScript Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/1.5.10/mac/groups.md000066400000000000000000000025141450355336000201110ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs, etc. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [options](options.md) (material, detail, etc.) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the position of subsequent shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../../images/group.png) **Note:** Changes made to properties such as transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/1.5.10/mac/import.md000066400000000000000000000045041450355336000201050ustar00rootroot00000000000000Import --- ShapeScript files can get quite large for complicated models, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` The `import` command loads an external ShapeScript file and evaluates it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](export.md) ShapeScript-1.6.14/docs/1.5.10/mac/index.md000066400000000000000000000122421450355336000177000ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Camera Control](camera-control.md) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Groups](groups.md) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Literals](literals.md) - [Strings](literals.md#strings) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Trigonometry](functions.md#trigonometry) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Dynamic Imports](import.md#dynamic-imports) - [Export](export.md) - [Examples](examples.md) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.5.10/mac/lights.md000066400000000000000000000130111450355336000200560ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a model for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/1.5.10/mac/literals.md000066400000000000000000000131651450355336000204150ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a decimal literal false // a boolean literal "hello" // a string literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` ## Strings Strings are how human-readable text is represented in ShapeScript. These are used for a variety of purposes, including specifying file names for [imports](import.md) or [textures](materials.md#texture), [logging](debugging.md#logging) debug information to the console, or even rendering 3D text. String literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. If you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a string literal without a closing `"` is treated as an error, so if you need to include line-breaks in your string then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the string. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). A tuple of numeric values is also known as a *vector*. Vectors are used in ShapeScript to represent positions, colors, sizes and rotations. Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` You can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers. They can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily, in order to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, etc.) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.first // name print data.second // position print data.third // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/1.5.10/mac/materials.md000066400000000000000000000220011450355336000205440ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using [string interpolation](text.md#interpolation), which is useful if you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../../images/sandbox-error.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is wrapped around the model depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../../images/textured-cube.png) ![Textured sphere](../../images/textured-sphere.png) ![Textured cylinder](../../images/textured-cylinder.png) ![Textured cone](../../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/1.5.10/mac/options.md000066400000000000000000000134241450355336000202670ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a texture value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name is not displayed in the app, and currently has no use within ShapeScript itself, however it can be useful for identifying distinct shape components when importing an exported ShapeScript model into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a model that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/1.5.10/mac/paths.md000066400000000000000000000175561450355336000177250ustar00rootroot00000000000000Paths --- A path is a sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a 3D model (except possibly for something like a thin rope or antenna), but they can be used to define the contours of a 3D mesh (see [builders](builders.md) for details). ## Points You define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be three-dimensional, so `point` accepts up to three coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of zero). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point must have the same position. The following path has four points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves in ShapeScript are created using [quadratic Béziers curves](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. As discussed in the [primitives section](primitives.md), 3D shapes are constructed from flat polygons, so likewise, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift detail 99 path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../../images/octocircle.png) ## Circles There is actually an easier way to create a circular path, which is to use the `circle` command: ```swift circle ``` The result of calling `circle` is visually almost indistinguishable from the Bézier-based solution above (at a sufficiently high detail level), but you don't have to worry about calculating the positions of the control points. Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../../images/roundrect.png) ## Regular Polygons To create a regular polygon you can use the `polygon` command. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/1.5.10/mac/primitives.md000066400000000000000000000053361450355336000207720ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct simple models. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) and [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of polygons, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/1.5.10/mac/scope.md000066400000000000000000000035721450355336000177100ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines sub-objects in your model can use transforms and materials internally without the effects "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/1.5.10/mac/symbols.md000066400000000000000000000052541450355336000202660ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/1.5.10/mac/text.md000066400000000000000000000163701450355336000175630ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [string interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use string interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty string literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% text "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% text "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [string interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/1.5.10/mac/transforms.md000066400000000000000000000147101450355336000207710ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)). This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. For example the following code applies a pitch of 45 degrees followed by a roll of 80 degrees, which would be very difficult to express as a single `rotate` or `orientation` instruction due to the fixed roll-yaw-pitch order: ```swift rotate 0 0 0.25 // pitch 45 degrees rotate 0.4 0 0 // roll 80 degrees cube ``` --- [Index](index.md) | Next: [Bounds](bounds.md) ShapeScript-1.6.14/docs/1.5.110000777000000000000000000000000014503553360001607221.5.10ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.5.120000777000000000000000000000000014503553360001607321.5.10ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.5.130000777000000000000000000000000014503553360001607421.5.10ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.5.14/000077500000000000000000000000001450355336000155125ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.5.14/ios/000077500000000000000000000000001450355336000163045ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.5.14/ios/blocks.md000066400000000000000000000047461450355336000201160ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/1.5.14/ios/bounds.md000066400000000000000000000056521450355336000201300ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needed to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/1.5.14/ios/builders.md000066400000000000000000000121251450355336000204400ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D model: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` ![Prism](../../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../../images/roundrect-extrusion.png) ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } translate 0 0 2 // triangle 2 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../../images/loftshape.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/1.5.14/ios/camera-control.md000066400000000000000000000024761450355336000215450ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled via touch gestures. The camera is not part of the file itself, and moving it will not change the file in any way. ## Camera Selection By default, the camera is positioned along the Z axis, looking down at the model. The distance of the camera from the origin is set automatically based on the bounding sphere of the model. You can choose a different camera angle from the camera menu in the top right of the screen. [Custom cameras](cameras.md#custom-cameras) can be defined programatically. To reset the current camera to its default position, select `Reset View`. ## Touch Controls Motion | Action :--------------------------- | :-------------------------- Rotate model | Swipe with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Pinch Roll | Pinch, then rotate fingers ## Copy Settings To copy the configuration for the current camera view, select `Copy Settings` from the camera menu. This will copy a snippet of ShapeScript code which you can then paste into your `.shape` file to define a [custom camera](cameras.md#custom-cameras). --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/1.5.14/ios/cameras.md000066400000000000000000000123451450355336000202460ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your models from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../../images/custom-camera-menu-ios.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#rendering-an-image): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/1.5.14/ios/commands.md000066400000000000000000000143221450355336000204310ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the model, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#rendering-an-image). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your model is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/1.5.14/ios/comments.md000066400000000000000000000032551450355336000204600ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a model. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. ## Block Comments Another way to disable a large chunk of code at once is to use a *block comment*. Block comments begin with `/*` and end with `*/`. Anything between these delimiters is considered part of the comment, even if they span multiple lines: ```swift /* // this code is disabled fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } */ ``` Block comments can also be useful if you want to place a comment in the middle of a line, for example: ```swift define a(b c d) { b /* + c */ + d } ``` Here we've excluded the `c` parameter from the result, however the code both before and after the comment is unaffected. ## Nested Comments Unlike some other languages, ShapeScript allows block comments to be nested inside each other. This is useful if you want to comment out some code that already contains comments: ```swift /* define foo { option bar 3 /* option baz 5 */ // return bar print bar } /* ``` --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/1.5.14/ios/control-flow.md000066400000000000000000000111131450355336000212500ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your model might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/1.5.14/ios/csg.md000066400000000000000000000075741450355336000174170ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The model on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../../images/group-vs-difference.png) The subtracted shape is removed from the resultant model, but leaves an impression in the object it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque model the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The model on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The model on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a model. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/1.5.14/ios/debugging.md000066400000000000000000000053001450355336000205570ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/1.5.14/ios/examples.md000066400000000000000000000032401450355336000204430ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../../images/earth.png) ## Spring The Spring example demonstrates advanced use of the [loft](builders.md#loft) command to create a coiled spring shape. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spring](../../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.5.14/ios/export.md000066400000000000000000000125101450355336000201460ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D model, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript Mac App](https://apps.apple.com/app/id1441135869). Export is not available in the free ShapesScript Viewer for Mac and iOS.** To export your model, select the `File > Purchase Export Feature…` menu (**Cmd-Shift-E**) to unlock the export functionality. Once unlocked, this menu will change to `Export…`. **Note:** If the `Export…` menu is grayed-out, it is most likely because your model is still loading. Wait for the loading spinner in the top-left of the ShapeScript document window to finish before trying to export. ![Loading](../../images/loading.png) ShapeScript can export your model in a variety of formats, selectable from the export window: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
**Note:** Not all formats support all features of ShapeScript models, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## 3D Games and Augmented Reality ShapeScript models are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use SCN(Z) files with Apple's SceneKit and ARKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in STL format, used by many 3D printing applications. Just use `stl` as the file extension when exporting your model for printing. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript uses the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the ShapeScript preferences to export models in this orientation. ## Rendering an Image In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ gif | Graphics Interchange Format | Yes png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No jpf / jp2 | JPEG 2000 | Yes tif / tiff | Tagged Image File Format | Yes bmp | Bitmap | No
If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. The size of the exported image defaults to the current window size and display resolution. You can override this size by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions): Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a ray tracing program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/1.5.14/ios/expressions.md000066400000000000000000000160321450355336000212120ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value
Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison In addition to the standard arithmetic operators, ShapeScript also has equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else). The following infix comparison operators are supported: Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
**Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Boolean Algebra In addition to the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members There are currently no vector or matrix math operators such as dot product or vector addition, but these are mostly not needed in practice due to the [relative transform](transforms.md#relative-transforms) commands. It is however possible to use vector, size, rotation or [color](materials.md#color) values in expressions by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/1.5.14/ios/functions.md000066400000000000000000000154631450355336000206470ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two values: ```swift min 2 4 // returns 2 min 5 -5.1 // returns -5.1 ``` The `max` function returns the higher of two values: ```swift max 2 4 // returns 4 max 5 -5.1 // returns 5 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry is ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript half-turn value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript half-turn value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :---------------------| :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to half-turns | halfturns = degrees / 180 Half-turns to degrees | degrees = halfturns * 180 Radians to half-turns | halfturns = degrees / pi Half-turns to radians | radians = halfturns * pi
Common values: Angle in degrees | Angle in radians | Angle in half-turns :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/1.5.14/ios/getting-started.md000066400000000000000000000170471450355336000217440ustar00rootroot00000000000000Getting Started --- ShapeScript Viewer for iOS is designed for opening and exploring 3D models and scenes that use the ShapeScript `.shape` file format. If you do not have any existing ShapeScript files, you can create one using the `+` button. You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. ![New file modal](../../images/new-file-ios.png) After pressing OK you should see a new screen appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../../images/new-document-ios.png) ## Viewing Drag your finger inside the window and you will notice that the three objects appear to rotate. You are not actually moving the objects themselves, but rotating the camera around them. To return to the original orientaton, tap the camera icon in the top-right and select `Reset View`. To help you orient yourself, you can enable the `Show Axes` option in the camera menu, which displays the direction of the X, Y and Z axes. ![Show axes](../../images/show-axes-ios.png) For more information about navigating around the model, see [Camera Control](camera-control.md). ## Editing ShapeScript Viewer does not include an editor. To edit your `.shape` file you will need to open your `.shape` file in a separate text editor such as [Subtext](https://apps.apple.com/app/subtext/id1606625287) or [Runestone](https://apps.apple.com/app/runestone-text-editor/id1548193893). Once opened, the file should look something like this: ![Subtext editor](../../images/subtext-ios.png) ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. Subtext is free, but does not support syntax coloring or some of the other programmer-friendly features of more advanced editors. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Runestone) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. If you are using an iPad, you can use the [Split View](https://support.apple.com/en-gb/guide/ipad/ipad08c9970c/ipados) feature to show both ShapeScript Viewer and your text editor on screen simultaneously: ![Split View](../../images/split-view-ios.png) **Note:** Not all iOS text editors support *live editing* (where changes in the text are reflected automatically in ShapeScript as you make them). You may find you have to explicitly save or close the document in your editor for changes to take effect. ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. ShapeScript models are made out of flat polygons, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many polygons will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your models so that you avoid having to work with very large scales (thousands of units), or very small scales (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assume to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../../images/yellow-cube-ios.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../../images/error-screen-ios.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use undo feature in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection You can get information about your model (such as polygon count and overall dimensions) by tapping the info icon in the top-right corder of the screen. If a particular part of your model doesn't look right, you can tap to select it in the viewer, then get info on just the selected part. This will also tell you which line in the script file defines that component. ![Object info](../../images/object-info-ios.png) --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/1.5.14/ios/glossary.md000066400000000000000000000032301450355336000204670ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Half-turn | The unit used to specify angles or rotations in ShapeScript Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/1.5.14/ios/groups.md000066400000000000000000000025141450355336000201470ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs, etc. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [options](options.md) (material, detail, etc.) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the position of subsequent shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../../images/group.png) **Note:** Changes made to properties such as transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/1.5.14/ios/import.md000066400000000000000000000045061450355336000201450ustar00rootroot00000000000000Import --- ShapeScript files can get quite large for complicated models, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` The `import` command loads an external ShapeScript file and evaluates it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](examples.md) ShapeScript-1.6.14/docs/1.5.14/ios/index.md000066400000000000000000000123741450355336000177440ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Camera Control](camera-control.md) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Groups](groups.md) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Block Comments](comments.md#block-comments) - [Nested Comments](comments.md#nested-comments) - [Literals](literals.md) - [Strings](literals.md#strings) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Trigonometry](functions.md#trigonometry) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Dynamic Imports](import.md#dynamic-imports) - [Examples](examples.md) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.5.14/ios/lights.md000066400000000000000000000130111450355336000201140ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a model for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/1.5.14/ios/literals.md000066400000000000000000000131651450355336000204530ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a decimal literal false // a boolean literal "hello" // a string literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` ## Strings Strings are how human-readable text is represented in ShapeScript. These are used for a variety of purposes, including specifying file names for [imports](import.md) or [textures](materials.md#texture), [logging](debugging.md#logging) debug information to the console, or even rendering 3D text. String literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. If you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a string literal without a closing `"` is treated as an error, so if you need to include line-breaks in your string then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the string. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). A tuple of numeric values is also known as a *vector*. Vectors are used in ShapeScript to represent positions, colors, sizes and rotations. Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` You can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers. They can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily, in order to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, etc.) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.first // name print data.second // position print data.third // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/1.5.14/ios/materials.md000066400000000000000000000220051450355336000206060ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using [string interpolation](text.md#interpolation), which is useful if you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../../images/sandbox-error-ios.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is wrapped around the model depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../../images/textured-cube.png) ![Textured sphere](../../images/textured-sphere.png) ![Textured cylinder](../../images/textured-cylinder.png) ![Textured cone](../../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/1.5.14/ios/options.md000066400000000000000000000134241450355336000203250ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a texture value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name is not displayed in the app, and currently has no use within ShapeScript itself, however it can be useful for identifying distinct shape components when importing an exported ShapeScript model into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a model that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/1.5.14/ios/paths.md000066400000000000000000000175561450355336000177630ustar00rootroot00000000000000Paths --- A path is a sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a 3D model (except possibly for something like a thin rope or antenna), but they can be used to define the contours of a 3D mesh (see [builders](builders.md) for details). ## Points You define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be three-dimensional, so `point` accepts up to three coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of zero). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point must have the same position. The following path has four points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves in ShapeScript are created using [quadratic Béziers curves](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. As discussed in the [primitives section](primitives.md), 3D shapes are constructed from flat polygons, so likewise, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift detail 99 path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../../images/octocircle.png) ## Circles There is actually an easier way to create a circular path, which is to use the `circle` command: ```swift circle ``` The result of calling `circle` is visually almost indistinguishable from the Bézier-based solution above (at a sufficiently high detail level), but you don't have to worry about calculating the positions of the control points. Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../../images/roundrect.png) ## Regular Polygons To create a regular polygon you can use the `polygon` command. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/1.5.14/ios/primitives.md000066400000000000000000000053361450355336000210300ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct simple models. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) and [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of polygons, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/1.5.14/ios/scope.md000066400000000000000000000035721450355336000177460ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines sub-objects in your model can use transforms and materials internally without the effects "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/1.5.14/ios/symbols.md000066400000000000000000000052541450355336000203240ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/1.5.14/ios/text.md000066400000000000000000000163701450355336000176210ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [string interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use string interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty string literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% text "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% text "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [string interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/1.5.14/ios/transforms.md000066400000000000000000000147101450355336000210270ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)). This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. For example the following code applies a pitch of 45 degrees followed by a roll of 80 degrees, which would be very difficult to express as a single `rotate` or `orientation` instruction due to the fixed roll-yaw-pitch order: ```swift rotate 0 0 0.25 // pitch 45 degrees rotate 0.4 0 0 // roll 80 degrees cube ``` --- [Index](index.md) | Next: [Bounds](bounds.md) ShapeScript-1.6.14/docs/1.5.14/mac/000077500000000000000000000000001450355336000162525ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.5.14/mac/blocks.md000066400000000000000000000047461450355336000200640ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/1.5.14/mac/bounds.md000066400000000000000000000056521450355336000200760ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needed to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/1.5.14/mac/builders.md000066400000000000000000000121251450355336000204060ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D model: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` ![Prism](../../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../../images/roundrect-extrusion.png) ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } translate 0 0 2 // triangle 2 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../../images/loftshape.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/1.5.14/mac/camera-control.md000066400000000000000000000037201450355336000215040ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled via a mouse or trackpad. The camera is not part of the file itself, and moving it will not change the file in any way. ## Camera Selection By default, the camera is positioned along the Z axis, looking down at the model. The distance of the camera from the origin is set automatically based on the bounding sphere of the model. You can choose a different camera angle from the `View > Camera` menu. [Custom cameras](cameras.md#custom-cameras) can be defined programatically. To reset the current camera to its default position, select the `View > Camera > Reset` menu, or press **Cmd-0** on the keyboard. ## Mouse Control **Note:** The instructions below assume the use of an Apple Magic Mouse. Controls for other mice may differ. Motion | Action :--------------------------- | :-------------------------- Rotate model | Hold the mouse button and drag Pan up/down/left/right | Either swipe the mouse surface with one finger, or hold Shift + mouse button and drag Zoom in and out | Hold Shift, then swipe up or down on the mouse surface with one finger
## Trackpad Control Motion | Action :--------------------------- | :-------------------------- Rotate model | Click and drag with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Either pinch, or hold Shift + swipe up or down with two fingers Roll | Pinch, then rotate fingers
## Copy Settings To copy the configuration for the current camera view, select `View > Copy Camera Settings`, or press **Cmd-Shift-C** on the keyboard. This will copy a snippet of ShapeScript code that you can paste into your `.shape` file to define a [custom camera](cameras.md#custom-cameras). --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/1.5.14/mac/cameras.md000066400000000000000000000123411450355336000202100ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your models from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../../images/custom-camera-menu.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#rendering-an-image): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/1.5.14/mac/commands.md000066400000000000000000000143221450355336000203770ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the model, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#rendering-an-image). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your model is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/1.5.14/mac/comments.md000066400000000000000000000032551450355336000204260ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a model. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. ## Block Comments Another way to disable a large chunk of code at once is to use a *block comment*. Block comments begin with `/*` and end with `*/`. Anything between these delimiters is considered part of the comment, even if they span multiple lines: ```swift /* // this code is disabled fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } */ ``` Block comments can also be useful if you want to place a comment in the middle of a line, for example: ```swift define a(b c d) { b /* + c */ + d } ``` Here we've excluded the `c` parameter from the result, however the code both before and after the comment is unaffected. ## Nested Comments Unlike some other languages, ShapeScript allows block comments to be nested inside each other. This is useful if you want to comment out some code that already contains comments: ```swift /* define foo { option bar 3 /* option baz 5 */ // return bar print bar } /* ``` --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/1.5.14/mac/control-flow.md000066400000000000000000000111131450355336000212160ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your model might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/1.5.14/mac/csg.md000066400000000000000000000075741450355336000173650ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The model on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../../images/group-vs-difference.png) The subtracted shape is removed from the resultant model, but leaves an impression in the object it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque model the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The model on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The model on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a model. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/1.5.14/mac/debugging.md000066400000000000000000000053001450355336000205250ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/1.5.14/mac/examples.md000066400000000000000000000032401450355336000204110ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../../images/earth.png) ## Spring The Spring example demonstrates advanced use of the [loft](builders.md#loft) command to create a coiled spring shape. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spring](../../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.5.14/mac/export.md000066400000000000000000000125101450355336000201140ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D model, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript Mac App](https://apps.apple.com/app/id1441135869). Export is not available in the free ShapesScript Viewer for Mac and iOS.** To export your model, select the `File > Purchase Export Feature…` menu (**Cmd-Shift-E**) to unlock the export functionality. Once unlocked, this menu will change to `Export…`. **Note:** If the `Export…` menu is grayed-out, it is most likely because your model is still loading. Wait for the loading spinner in the top-left of the ShapeScript document window to finish before trying to export. ![Loading](../../images/loading.png) ShapeScript can export your model in a variety of formats, selectable from the export window: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
**Note:** Not all formats support all features of ShapeScript models, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## 3D Games and Augmented Reality ShapeScript models are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use SCN(Z) files with Apple's SceneKit and ARKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in STL format, used by many 3D printing applications. Just use `stl` as the file extension when exporting your model for printing. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript uses the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the ShapeScript preferences to export models in this orientation. ## Rendering an Image In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ gif | Graphics Interchange Format | Yes png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No jpf / jp2 | JPEG 2000 | Yes tif / tiff | Tagged Image File Format | Yes bmp | Bitmap | No
If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. The size of the exported image defaults to the current window size and display resolution. You can override this size by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions): Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a ray tracing program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/1.5.14/mac/expressions.md000066400000000000000000000160321450355336000211600ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value
Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison In addition to the standard arithmetic operators, ShapeScript also has equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else). The following infix comparison operators are supported: Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
**Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Boolean Algebra In addition to the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members There are currently no vector or matrix math operators such as dot product or vector addition, but these are mostly not needed in practice due to the [relative transform](transforms.md#relative-transforms) commands. It is however possible to use vector, size, rotation or [color](materials.md#color) values in expressions by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/1.5.14/mac/functions.md000066400000000000000000000154631450355336000206150ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two values: ```swift min 2 4 // returns 2 min 5 -5.1 // returns -5.1 ``` The `max` function returns the higher of two values: ```swift max 2 4 // returns 4 max 5 -5.1 // returns 5 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry is ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript half-turn value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript half-turn value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :---------------------| :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to half-turns | halfturns = degrees / 180 Half-turns to degrees | degrees = halfturns * 180 Radians to half-turns | halfturns = degrees / pi Half-turns to radians | radians = halfturns * pi
Common values: Angle in degrees | Angle in radians | Angle in half-turns :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/1.5.14/mac/getting-started.md000066400000000000000000000174651450355336000217160ustar00rootroot00000000000000Getting Started --- Start by creating a new ShapeScript document. You can do this by selecting `File > New` in the menu bar (or by pressing **Cmd-N** on the keyboard). You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. **Note:** If you cannot see the file prompt, check that it hasn't appeared *behind* this help window. The help window floats in front of all other windows and applications, so you may need to move it out of the way. You should see a new window appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../../images/new-document-mac.png) ## Viewing Drag your mouse cursor inside the window and you will notice that the three objects appear to rotate. You are not actually moving the objects themselves, but rotating the camera around them. To reset the view, select `View > Camera > Reset` or press **Cmd-0**. To help you orient yourself, you can use the `View > Show Axes` option, which displays the direction of the X, Y and Z axes. ![Show axes](../../images/show-axes-mac.png) For more information about navigating around the model, see [Camera Control](camera-control.md). ## Editing To edit the 3D model, select the `Edit > Open in Editor` menu or press **Cmd-E**. ShapeScript does not include an editor. Instead, the `Open in Editor` command will ask you to select an external text editor to use. If you do not have any other editors installed, the default option will probably be TextEdit. Once opened, the file should look something like this: ![TextEdit window](../../images/textedit-mac.png) ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. TextEdit will work, but is probably not the best choice as it does not support syntax coloring or any of the other programmer-friendly features of modern editors. If you have a more advanced editor such as [SubEthaEdit](https://subethaedit.net), [TextMate](https://macromates.com), [Sublime Text](https://www.sublimetext.com) or [Atom](https://atom.io) then it would be better to use one of these. An Integrated Development Environment (IDE) such as [Xcode](https://developer.apple.com/xcode/) is also a good option. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Xcode) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. ShapeScript will only ask you which editor you want to use the *first* time you edit a file, then it will remember your choice. If you change your mind later, you can select a different editor in Preferences (select the `ShapeScript > Preferences…` menu or press **Cmd-,**). ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. ShapeScript models are made out of flat polygons, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many polygons will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your models so that you avoid having to work with very large scales (thousands of units), or very small scales (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assume to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../../images/yellow-cube-mac.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../../images/error-screen-mac.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use the `Edit > Undo` menu in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection You can get information about your model (such as polygon count and overall dimensions) by selecting `View > Model Info` (**Cmd-I**) in the menu bar. If a particular part of your model doesn't look right, you can click to select it in the viewing window, and then use `View > Model Info` (**Cmd-I**) to get info on just the selected part. This will also tell you which line in the script file defines that component. ![Object info](../../images/object-info-mac.png) --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/1.5.14/mac/glossary.md000066400000000000000000000032301450355336000204350ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Half-turn | The unit used to specify angles or rotations in ShapeScript Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/1.5.14/mac/groups.md000066400000000000000000000025141450355336000201150ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs, etc. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [options](options.md) (material, detail, etc.) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the position of subsequent shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../../images/group.png) **Note:** Changes made to properties such as transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/1.5.14/mac/import.md000066400000000000000000000045041450355336000201110ustar00rootroot00000000000000Import --- ShapeScript files can get quite large for complicated models, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` The `import` command loads an external ShapeScript file and evaluates it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](export.md) ShapeScript-1.6.14/docs/1.5.14/mac/index.md000066400000000000000000000124221450355336000177040ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Camera Control](camera-control.md) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Groups](groups.md) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Block Comments](comments.md#block-comments) - [Nested Comments](comments.md#nested-comments) - [Literals](literals.md) - [Strings](literals.md#strings) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Trigonometry](functions.md#trigonometry) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Dynamic Imports](import.md#dynamic-imports) - [Export](export.md) - [Examples](examples.md) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.5.14/mac/lights.md000066400000000000000000000130111450355336000200620ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a model for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/1.5.14/mac/literals.md000066400000000000000000000131651450355336000204210ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a decimal literal false // a boolean literal "hello" // a string literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` ## Strings Strings are how human-readable text is represented in ShapeScript. These are used for a variety of purposes, including specifying file names for [imports](import.md) or [textures](materials.md#texture), [logging](debugging.md#logging) debug information to the console, or even rendering 3D text. String literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. If you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a string literal without a closing `"` is treated as an error, so if you need to include line-breaks in your string then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the string. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). A tuple of numeric values is also known as a *vector*. Vectors are used in ShapeScript to represent positions, colors, sizes and rotations. Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` You can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers. They can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily, in order to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, etc.) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.first // name print data.second // position print data.third // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/1.5.14/mac/materials.md000066400000000000000000000220011450355336000205500ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using [string interpolation](text.md#interpolation), which is useful if you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../../images/sandbox-error.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is wrapped around the model depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../../images/textured-cube.png) ![Textured sphere](../../images/textured-sphere.png) ![Textured cylinder](../../images/textured-cylinder.png) ![Textured cone](../../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/1.5.14/mac/options.md000066400000000000000000000134241450355336000202730ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a texture value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name is not displayed in the app, and currently has no use within ShapeScript itself, however it can be useful for identifying distinct shape components when importing an exported ShapeScript model into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a model that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/1.5.14/mac/paths.md000066400000000000000000000175561450355336000177310ustar00rootroot00000000000000Paths --- A path is a sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a 3D model (except possibly for something like a thin rope or antenna), but they can be used to define the contours of a 3D mesh (see [builders](builders.md) for details). ## Points You define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be three-dimensional, so `point` accepts up to three coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of zero). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point must have the same position. The following path has four points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves in ShapeScript are created using [quadratic Béziers curves](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. As discussed in the [primitives section](primitives.md), 3D shapes are constructed from flat polygons, so likewise, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift detail 99 path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../../images/octocircle.png) ## Circles There is actually an easier way to create a circular path, which is to use the `circle` command: ```swift circle ``` The result of calling `circle` is visually almost indistinguishable from the Bézier-based solution above (at a sufficiently high detail level), but you don't have to worry about calculating the positions of the control points. Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../../images/roundrect.png) ## Regular Polygons To create a regular polygon you can use the `polygon` command. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/1.5.14/mac/primitives.md000066400000000000000000000053361450355336000207760ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct simple models. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) and [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of polygons, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/1.5.14/mac/scope.md000066400000000000000000000035721450355336000177140ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines sub-objects in your model can use transforms and materials internally without the effects "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/1.5.14/mac/symbols.md000066400000000000000000000052541450355336000202720ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/1.5.14/mac/text.md000066400000000000000000000163701450355336000175670ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [string interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use string interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty string literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% text "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% text "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [string interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/1.5.14/mac/transforms.md000066400000000000000000000147101450355336000207750ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)). This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. For example the following code applies a pitch of 45 degrees followed by a roll of 80 degrees, which would be very difficult to express as a single `rotate` or `orientation` instruction due to the fixed roll-yaw-pitch order: ```swift rotate 0 0 0.25 // pitch 45 degrees rotate 0.4 0 0 // roll 80 degrees cube ``` --- [Index](index.md) | Next: [Bounds](bounds.md) ShapeScript-1.6.14/docs/1.5.6/000077500000000000000000000000001450355336000154335ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.5.6/ios/000077500000000000000000000000001450355336000162255ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.5.6/ios/blocks.md000066400000000000000000000047461450355336000200370ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/1.5.6/ios/bounds.md000066400000000000000000000056511450355336000200500ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needs to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/1.5.6/ios/builders.md000066400000000000000000000121251450355336000203610ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D model: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` ![Prism](../../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../../images/roundrect-extrusion.png) ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } translate 0 0 2 // triangle 2 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../../images/loftshape.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/1.5.6/ios/camera-control.md000066400000000000000000000024571450355336000214650ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled via touch gestures. The camera is not part of the file itself, and moving it will not change the file in any way. ## Camera Selection By default, the camera is positioned along the Z axis, looking down at the model. The distance of the camera from the origin is set automatically based on the bounding sphere of the model. You can choose a different camera angle from the camera menu in the top right of the screen. Custom cameras [can be defined](cameras.md) programatically. To reset the current camera to its default position, select `Reset View`. ## Touch Controls Motion | Action :--------------------------- | :-------------------------- Rotate model | Swipe with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Pinch Roll | Pinch, then rotate fingers ## Copy Settings To copy the configuration for the current camera view, select `Copy Settings` from the camera menu. This will copy a snippet of ShapeScript code which you can then paste into your `.shape` file to define a [custom camera](cameras.md#custom-cameras). --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/1.5.6/ios/cameras.md000066400000000000000000000123451450355336000201670ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your models from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../../images/custom-camera-menu-ios.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#rendering-an-image): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/1.5.6/ios/commands.md000066400000000000000000000143221450355336000203520ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the model, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#rendering-an-image). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your model is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/1.5.6/ios/comments.md000066400000000000000000000013451450355336000203770ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a model. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/1.5.6/ios/control-flow.md000066400000000000000000000111131450355336000211710ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your model might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/1.5.6/ios/csg.md000066400000000000000000000075741450355336000173400ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The model on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../../images/group-vs-difference.png) The subtracted shape is removed from the resultant model, but leaves an impression in the object it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque model the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The model on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The model on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a model. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/1.5.6/ios/debugging.md000066400000000000000000000053001450355336000205000ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/1.5.6/ios/examples.md000066400000000000000000000032401450355336000203640ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../../images/earth.png) ## Spring The Spring example demonstrates advanced use of the [loft](builders.md#loft) command to create a coiled spring shape. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spring](../../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.5.6/ios/export.md000066400000000000000000000125101450355336000200670ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D model, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript Mac App](https://apps.apple.com/app/id1441135869). Export is not available in the free ShapesScript Viewer for Mac and iOS.** To export your model, select the `File > Purchase Export Feature…` menu (**Cmd-Shift-E**) to unlock the export functionality. Once unlocked, this menu will change to `Export…`. **Note:** If the `Export…` menu is grayed-out, it is most likely because your model is still loading. Wait for the loading spinner in the top-left of the ShapeScript document window to finish before trying to export. ![Loading](../../images/loading.png) ShapeScript can export your model in a variety of formats, selectable from the export window: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
**Note:** Not all formats support all features of ShapeScript models, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## 3D Games and Augmented Reality ShapeScript models are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use SCN(Z) files with Apple's SceneKit and ARKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in STL format, used by many 3D printing applications. Just use `stl` as the file extension when exporting your model for printing. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript uses the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the ShapeScript preferences to export models in this orientation. ## Rendering an Image In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ gif | Graphics Interchange Format | Yes png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No jpf / jp2 | JPEG 2000 | Yes tif / tiff | Tagged Image File Format | Yes bmp | Bitmap | No
If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. The size of the exported image defaults to the current window size and display resolution. You can override this size by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions): Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a ray tracing program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/1.5.6/ios/expressions.md000066400000000000000000000160321450355336000211330ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value
Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison In addition to the standard arithmetic operators, ShapeScript also has equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else). The following infix comparison operators are supported: Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
**Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Boolean Algebra In addition to the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members There are currently no vector or matrix math operators such as dot product or vector addition, but these are mostly not needed in practice due to the [relative transform](transforms.md#relative-transforms) commands. It is however possible to use vector, size, rotation or [color](materials.md#color) values in expressions by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/1.5.6/ios/functions.md000066400000000000000000000155431450355336000205670ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two values: ```swift min 2 4 // returns 2 min 5 -5.1 // returns -5.1 ``` The `max` function returns the higher of two values: ```swift max 2 4 // returns 4 max 5 -5.1 // returns 5 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry is ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in the range 0 to 2 (or 0 to -2), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript rotation value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript rotation value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :------------------------------ | :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to ShapeScript rotation | rotation = degrees / 180 ShapeScript rotation to degrees | degrees = rotation * 180 Radians to ShapeScript rotation | rotation = degrees / pi ShapeScript rotation to radians | radians = rotation * pi
Common values: Angle in degrees | Angle in radians | ShapeScript rotation :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/1.5.6/ios/getting-started.md000066400000000000000000000170441450355336000216620ustar00rootroot00000000000000Getting Started --- ShapeScript Viewer for iOS is designed for opening and exploring 3D models and scenes that use the ShapeScript `.shape` file format. If you do not have any existing ShapeScript files, you can create one using the `+` button. You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. ![New file modal](../../images/new-file-ios.png) After pressing OK you should see a new screen appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../../images/new-document-ios.png) ## Viewing Drag your finger inside the window and you will notice that the three objects appear to rotate. You are not actually moving the objects themselves, but rotating the camera around them. To return to the original orientaton, tap the camera icon in the top-right and select `Reset View`. To help you orient yourself, you can enable the `Show Axes` option in the camera menu, which displays the direction of the X, Y and Z axes. ![Show axes](../../images/show-axes-ios.png) For more information about navigating around the model, see [Camera Control](camera-control.md). ## Editing ShapeScript Viewer does not include an editor. To edit your `.shape` file you will need to open your `.shape` file in a separate text editor such as [Subtext](https://apps.apple.com/app/subtext/id1606625287) or [Runestone](https://apps.apple.com/app/runestone-text-editor/id1548193893). Once opened, the file should look something like this: ![Subtext editor](../../images/subtext-ios.png) ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. Subtext is free, but does not support syntax coloring or some of the other programmer-friendly features of more advanced editors. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Runestone) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. If you are using an iPad, you can use the [Split View](https://support.apple.com/en-gb/guide/ipad/ipad08c9970c/ipados) feature to show both ShapeScript Viewer and your text editor on screen simultaneously: ![Split View](../../images/split-view-ios.png) **Note:** Not all iOS text editors support *live editing* (where changes in the text are reflected automatically in ShapeScript as you make them). You may find you have to explicitly save or close the document in your editor for changes to take effect. ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. ShapeScript models are made out of triangles, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many triangles will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your models so that you avoid having to work with very large scales (thousands of units), or very small scales (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assume to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../../images/yellow-cube-ios.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../../images/error-screen-ios.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use undo feature in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection You can get information about your model (such as polygon count and overall dimensions) by tapping the info icon in the top-right corder of the screen. If a particular part of your model doesn't look right, you can tap to select it in the viewer, then get info on just the selected part. This will also tell you which line in the script file defines that component. ![Object info](../../images/object-info-ios.png) --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/1.5.6/ios/glossary.md000066400000000000000000000031051450355336000204110ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/1.5.6/ios/groups.md000066400000000000000000000024311450355336000200660ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [material](materials.md) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the relative transforms for shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../../images/group.png) Changes made to the transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/1.5.6/ios/import.md000066400000000000000000000045061450355336000200660ustar00rootroot00000000000000Import --- ShapeScript files can get quite large for complicated models, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` The `import` command loads an external ShapeScript file and evaluates it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](examples.md) ShapeScript-1.6.14/docs/1.5.6/ios/index.md000066400000000000000000000122161450355336000176600ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Camera Control](camera-control.md) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Groups](groups.md) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Literals](literals.md) - [Escaping](literals.md#escaping) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Trigonometry](functions.md#trigonometry) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Dynamic Imports](import.md#dynamic-imports) - [Examples](examples.md) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.5.6/ios/lights.md000066400000000000000000000130111450355336000200350ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a model for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/1.5.6/ios/literals.md000066400000000000000000000125761450355336000204010ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a floating-point literal false // a boolean literal "hello" // a text literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` Text literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. Vector literals are just a sequence of numbers separated by spaces. They are often used to represent positions, colors, sizes and rotations. ## Escaping Because text literals use `"` as delimiters, if you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a text literal without a closing `"` is treated as an error, so if you need to include line-breaks in your text then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the text. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` But you can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers, they can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily, in order to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, etc.) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.first // name print data.second // position print data.third // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/1.5.6/ios/materials.md000066400000000000000000000220471450355336000205350ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using the [text interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../../images/sandbox-error-ios.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is wrapped around the model depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../../images/textured-cube.png) ![Textured sphere](../../images/textured-sphere.png) ![Textured cylinder](../../images/textured-cylinder.png) ![Textured cone](../../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/1.5.6/ios/options.md000066400000000000000000000134211450355336000202430ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a text value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name is not displayed in the app, and currently has no use within ShapeScript itself, however it can be useful for identifying distinct shape components when importing an exported ShapeScript model into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a model that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/1.5.6/ios/paths.md000066400000000000000000000175641450355336000177030ustar00rootroot00000000000000Paths --- A path is sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a 3D model (except possibly for something like a thin rope or antenna), but they can be used to define the contours of a 3D mesh (see [builders](builders.md) for details). ## Points You define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be 3-dimensional, so `point` can accept up to 3 coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of 0). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point should have the same position. The following path has 4 points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves can be created in ShapeScript are defined using [quadratic Béziers curves](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. As discussed in the [primitives section](primitives.md), 3D shapes are constructed from flat triangles, so likewise, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift detail 99 path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../../images/octocircle.png) ## Circles There is actually an easier way to create a circular path, which is to use the `circle` command: ```swift circle ``` The result of calling `circle` is visually almost indistinguishable from the Bézier-based solution above (at a sufficiently high detail level), but you don't have to worry about calculating the positions of the control points. Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../../images/roundrect.png) ## Regular Polygons To create a regular polygon you can use the `polygon` command. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/1.5.6/ios/primitives.md000066400000000000000000000053371450355336000207520ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct simple models. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) and [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of triangles, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/1.5.6/ios/scope.md000066400000000000000000000035721450355336000176670ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines sub-objects in your model can use transforms and materials internally without the effects "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/1.5.6/ios/symbols.md000066400000000000000000000052541450355336000202450ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/1.5.6/ios/text.md000066400000000000000000000163601450355336000175410ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [text interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use text interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty text literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% text "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% text "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [text interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/1.5.6/ios/transforms.md000066400000000000000000000146321450355336000207530ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of half turns. This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. For example the following code applies a pitch of 45 degrees followed by a roll of 80 degrees, which would be very difficult to express as a single `rotate` or `orientation` instruction due to the fixed roll-yaw-pitch order: ```swift rotate 0 0 0.25 // pitch 45 degrees rotate 0.4 0 0 // roll 80 degrees cube ``` --- [Index](index.md) | Next: [Bounds](bounds.md) ShapeScript-1.6.14/docs/1.5.6/mac/000077500000000000000000000000001450355336000161735ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.5.6/mac/blocks.md000066400000000000000000000047461450355336000200050ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/1.5.6/mac/bounds.md000066400000000000000000000056511450355336000200160ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needs to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/1.5.6/mac/builders.md000066400000000000000000000121251450355336000203270ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D model: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` ![Prism](../../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../../images/roundrect-extrusion.png) ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } translate 0 0 2 // triangle 2 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../../images/loftshape.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/1.5.6/mac/camera-control.md000066400000000000000000000037011450355336000214240ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled via a mouse or trackpad. The camera is not part of the file itself, and moving it will not change the file in any way. ## Camera Selection By default, the camera is positioned along the Z axis, looking down at the model. The distance of the camera from the origin is set automatically based on the bounding sphere of the model. You can choose a different camera angle from the `View > Camera` menu. Custom cameras [can be defined](cameras.md) programatically. To reset the current camera to its default position, select the `View > Camera > Reset` menu, or press **Cmd-0** on the keyboard. ## Mouse Control **Note:** The instructions below assume the use of an Apple Magic Mouse. Controls for other mice may differ. Motion | Action :--------------------------- | :-------------------------- Rotate model | Hold the mouse button and drag Pan up/down/left/right | Either swipe the mouse surface with one finger, or hold Shift + mouse button and drag Zoom in and out | Hold Shift, then swipe up or down on the mouse surface with one finger
## Trackpad Control Motion | Action :--------------------------- | :-------------------------- Rotate model | Click and drag with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Either pinch, or hold Shift + swipe up or down with two fingers Roll | Pinch, then rotate fingers
## Copy Settings To copy the configuration for the current camera view, select `View > Copy Camera Settings`, or press **Cmd-Shift-C** on the keyboard. This will copy a snippet of ShapeScript code that you can paste into your `.shape` file to define a [custom camera](cameras.md#custom-cameras). --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/1.5.6/mac/cameras.md000066400000000000000000000123411450355336000201310ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your models from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../../images/custom-camera-menu.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#rendering-an-image): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/1.5.6/mac/commands.md000066400000000000000000000143221450355336000203200ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the model, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#rendering-an-image). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your model is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/1.5.6/mac/comments.md000066400000000000000000000013451450355336000203450ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a model. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/1.5.6/mac/control-flow.md000066400000000000000000000111131450355336000211370ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your model might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/1.5.6/mac/csg.md000066400000000000000000000075741450355336000173060ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The model on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../../images/group-vs-difference.png) The subtracted shape is removed from the resultant model, but leaves an impression in the object it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque model the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The model on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The model on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a model. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/1.5.6/mac/debugging.md000066400000000000000000000053001450355336000204460ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/1.5.6/mac/examples.md000066400000000000000000000032401450355336000203320ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../../images/earth.png) ## Spring The Spring example demonstrates advanced use of the [loft](builders.md#loft) command to create a coiled spring shape. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spring](../../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.5.6/mac/export.md000066400000000000000000000125101450355336000200350ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D model, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript Mac App](https://apps.apple.com/app/id1441135869). Export is not available in the free ShapesScript Viewer for Mac and iOS.** To export your model, select the `File > Purchase Export Feature…` menu (**Cmd-Shift-E**) to unlock the export functionality. Once unlocked, this menu will change to `Export…`. **Note:** If the `Export…` menu is grayed-out, it is most likely because your model is still loading. Wait for the loading spinner in the top-left of the ShapeScript document window to finish before trying to export. ![Loading](../../images/loading.png) ShapeScript can export your model in a variety of formats, selectable from the export window: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
**Note:** Not all formats support all features of ShapeScript models, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## 3D Games and Augmented Reality ShapeScript models are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use SCN(Z) files with Apple's SceneKit and ARKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in STL format, used by many 3D printing applications. Just use `stl` as the file extension when exporting your model for printing. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript uses the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the ShapeScript preferences to export models in this orientation. ## Rendering an Image In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ gif | Graphics Interchange Format | Yes png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No jpf / jp2 | JPEG 2000 | Yes tif / tiff | Tagged Image File Format | Yes bmp | Bitmap | No
If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. The size of the exported image defaults to the current window size and display resolution. You can override this size by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions): Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a ray tracing program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/1.5.6/mac/expressions.md000066400000000000000000000160321450355336000211010ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value
Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison In addition to the standard arithmetic operators, ShapeScript also has equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else). The following infix comparison operators are supported: Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
**Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Boolean Algebra In addition to the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members There are currently no vector or matrix math operators such as dot product or vector addition, but these are mostly not needed in practice due to the [relative transform](transforms.md#relative-transforms) commands. It is however possible to use vector, size, rotation or [color](materials.md#color) values in expressions by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/1.5.6/mac/functions.md000066400000000000000000000155431450355336000205350ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two values: ```swift min 2 4 // returns 2 min 5 -5.1 // returns -5.1 ``` The `max` function returns the higher of two values: ```swift max 2 4 // returns 4 max 5 -5.1 // returns 5 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry is ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in the range 0 to 2 (or 0 to -2), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript rotation value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript rotation value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :------------------------------ | :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to ShapeScript rotation | rotation = degrees / 180 ShapeScript rotation to degrees | degrees = rotation * 180 Radians to ShapeScript rotation | rotation = degrees / pi ShapeScript rotation to radians | radians = rotation * pi
Common values: Angle in degrees | Angle in radians | ShapeScript rotation :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/1.5.6/mac/getting-started.md000066400000000000000000000174621450355336000216340ustar00rootroot00000000000000Getting Started --- Start by creating a new ShapeScript document. You can do this by selecting `File > New` in the menu bar (or by pressing **Cmd-N** on the keyboard). You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. **Note:** If you cannot see the file prompt, check that it hasn't appeared *behind* this help window. The help window floats in front of all other windows and applications, so you may need to move it out of the way. You should see a new window appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../../images/new-document-mac.png) ## Viewing Drag your mouse cursor inside the window and you will notice that the three objects appear to rotate. You are not actually moving the objects themselves, but rotating the camera around them. To reset the view, select `View > Camera > Reset` or press **Cmd-0**. To help you orient yourself, you can use the `View > Show Axes` option, which displays the direction of the X, Y and Z axes. ![Show axes](../../images/show-axes-mac.png) For more information about navigating around the model, see [Camera Control](camera-control.md). ## Editing To edit the 3D model, select the `Edit > Open in Editor` menu or press **Cmd-E**. ShapeScript does not include an editor. Instead, the `Open in Editor` command will ask you to select an external text editor to use. If you do not have any other editors installed, the default option will probably be TextEdit. Once opened, the file should look something like this: ![TextEdit window](../../images/textedit-mac.png) ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. TextEdit will work, but is probably not the best choice as it does not support syntax coloring or any of the other programmer-friendly features of modern editors. If you have a more advanced editor such as [SubEthaEdit](https://subethaedit.net), [TextMate](https://macromates.com), [Sublime Text](https://www.sublimetext.com) or [Atom](https://atom.io) then it would be better to use one of these. An Integrated Development Environment (IDE) such as [Xcode](https://developer.apple.com/xcode/) is also a good option. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Xcode) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. ShapeScript will only ask you which editor you want to use the *first* time you edit a file, then it will remember your choice. If you change your mind later, you can select a different editor in Preferences (select the `ShapeScript > Preferences…` menu or press **Cmd-,**). ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. ShapeScript models are made out of triangles, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many triangles will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your models so that you avoid having to work with very large scales (thousands of units), or very small scales (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assume to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../../images/yellow-cube-mac.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../../images/error-screen-mac.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use the `Edit > Undo` menu in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection You can get information about your model (such as polygon count and overall dimensions) by selecting `View > Model Info` (**Cmd-I**) in the menu bar. If a particular part of your model doesn't look right, you can click to select it in the viewing window, and then use `View > Model Info` (**Cmd-I**) to get info on just the selected part. This will also tell you which line in the script file defines that component. ![Object info](../../images/object-info-mac.png) --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/1.5.6/mac/glossary.md000066400000000000000000000031051450355336000203570ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/1.5.6/mac/groups.md000066400000000000000000000024311450355336000200340ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [material](materials.md) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the relative transforms for shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../../images/group.png) Changes made to the transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/1.5.6/mac/import.md000066400000000000000000000045041450355336000200320ustar00rootroot00000000000000Import --- ShapeScript files can get quite large for complicated models, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` The `import` command loads an external ShapeScript file and evaluates it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](export.md) ShapeScript-1.6.14/docs/1.5.6/mac/index.md000066400000000000000000000122441450355336000176270ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Camera Control](camera-control.md) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Groups](groups.md) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Literals](literals.md) - [Escaping](literals.md#escaping) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Trigonometry](functions.md#trigonometry) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Dynamic Imports](import.md#dynamic-imports) - [Export](export.md) - [Examples](examples.md) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.5.6/mac/lights.md000066400000000000000000000130111450355336000200030ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a model for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/1.5.6/mac/literals.md000066400000000000000000000125761450355336000203470ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a floating-point literal false // a boolean literal "hello" // a text literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` Text literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. Vector literals are just a sequence of numbers separated by spaces. They are often used to represent positions, colors, sizes and rotations. ## Escaping Because text literals use `"` as delimiters, if you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a text literal without a closing `"` is treated as an error, so if you need to include line-breaks in your text then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the text. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` But you can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers, they can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily, in order to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, etc.) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.first // name print data.second // position print data.third // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/1.5.6/mac/materials.md000066400000000000000000000220431450355336000204770ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using the [text interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../../images/sandbox-error.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is wrapped around the model depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../../images/textured-cube.png) ![Textured sphere](../../images/textured-sphere.png) ![Textured cylinder](../../images/textured-cylinder.png) ![Textured cone](../../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/1.5.6/mac/options.md000066400000000000000000000134211450355336000202110ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a text value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name is not displayed in the app, and currently has no use within ShapeScript itself, however it can be useful for identifying distinct shape components when importing an exported ShapeScript model into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a model that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/1.5.6/mac/paths.md000066400000000000000000000175641450355336000176510ustar00rootroot00000000000000Paths --- A path is sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a 3D model (except possibly for something like a thin rope or antenna), but they can be used to define the contours of a 3D mesh (see [builders](builders.md) for details). ## Points You define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be 3-dimensional, so `point` can accept up to 3 coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of 0). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point should have the same position. The following path has 4 points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves can be created in ShapeScript are defined using [quadratic Béziers curves](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. As discussed in the [primitives section](primitives.md), 3D shapes are constructed from flat triangles, so likewise, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift detail 99 path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../../images/octocircle.png) ## Circles There is actually an easier way to create a circular path, which is to use the `circle` command: ```swift circle ``` The result of calling `circle` is visually almost indistinguishable from the Bézier-based solution above (at a sufficiently high detail level), but you don't have to worry about calculating the positions of the control points. Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../../images/roundrect.png) ## Regular Polygons To create a regular polygon you can use the `polygon` command. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/1.5.6/mac/primitives.md000066400000000000000000000053371450355336000207200ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct simple models. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) and [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of triangles, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/1.5.6/mac/scope.md000066400000000000000000000035721450355336000176350ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines sub-objects in your model can use transforms and materials internally without the effects "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/1.5.6/mac/symbols.md000066400000000000000000000052541450355336000202130ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/1.5.6/mac/text.md000066400000000000000000000163601450355336000175070ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [text interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use text interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty text literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% text "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% text "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [text interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/1.5.6/mac/transforms.md000066400000000000000000000146321450355336000207210ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of half turns. This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. For example the following code applies a pitch of 45 degrees followed by a roll of 80 degrees, which would be very difficult to express as a single `rotate` or `orientation` instruction due to the fixed roll-yaw-pitch order: ```swift rotate 0 0 0.25 // pitch 45 degrees rotate 0.4 0 0 // roll 80 degrees cube ``` --- [Index](index.md) | Next: [Bounds](bounds.md) ShapeScript-1.6.14/docs/1.5.70000777000000000000000000000000014503553360001574421.5.6ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.5.80000777000000000000000000000000014503553360001574521.5.6ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.5.90000777000000000000000000000000014503553360001574621.5.6ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.0/000077500000000000000000000000001450355336000154265ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.0/ios/000077500000000000000000000000001450355336000162205ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.0/ios/blocks.md000066400000000000000000000047461450355336000200320ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/1.6.0/ios/bounds.md000066400000000000000000000056521450355336000200440ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needed to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Meshes](meshes.md) ShapeScript-1.6.14/docs/1.6.0/ios/builders.md000066400000000000000000000200551450355336000203550ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D model: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` ![Prism](../../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../../images/roundrect-extrusion.png) In the following example, we extrude a square cross-section along a twisting 3D path: ```swift define shape path { orientation 0 0 -0.4 curve 0 1 0.75 curve -1 0 curve 0 -1 0.25 curve 1 0 curve 1 1 curve 0 1 0.75 } extrude { square { size 0.1 } along shape } ``` ![Tangential extrusion](../../images/tangential-extrusion.png) Note how the cross-section tilts as it follows the path. This can be a nice effect, but you might prefer that the cross section remains perpendicular to the world axes. To control this, you can use the `axisAligned` property: ```swift extrude { square { size 0.1 } along shape axisAligned true } ``` ![Axis-aligned extrusion](../../images/axis-aligned-extrusion.png) A value of `true` for `axisAligned` means the cross section will remain perpendicular to the path, which in some cases may cause the shape to look "pinched". A value of `false` means the cross-section is always aligned to the tangent of the path, which ensures consistent thickness at the cost of inconsistent orientation. If the `axisAligned` property is omitted, ShapeScript will try to choose an appropriate alignment for the path provided to `along`. ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } translate 0 0 2 // triangle 2 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../../images/loftshape.png) ## Hull The `hull` command works a bit like `loft`, in that it joins together multiple paths to form a solid surface. Here is the `loft` shape above, implemented using `hull`: ```swift hull { square translate 0 0 1 circle } ``` ![Hull shape](../../images/loftshape.png) So if `hull` and `loft` are the same, why have a separate command? The difference is that rather than joining sections together in a tube, `hull` forms a tight *skin* around the outside of all its child shapes, known as a [convex hull](https://en.wikipedia.org/wiki/Convex_hull). To illustrate the difference, here is the `hull` of a star shape, vs a `loft` of the same shape: ![Hull shape](../../images/hull-vs-loft.png) But the real power of the `hull` command is that it's not limited to operating on paths. Unlike the other builders, you can create a hull around meshes, paths, points, or any combination. For example, here is a hull formed from a cylinder and a point: ```swift hull { cylinder point 1 0 0 } ``` ![Hull shape](../../images/hull.png) This allows for a lot of interesting shapes that would be hard to create using the other commands. You might notice some odd stripes on the surface near the lip of the cylinder. As you may recall from the [detail](options.md#detail) section, curved surfaces in ShapeScript are actually formed from straight-edged polygons, with lighting used to make them appear smooth. When creating a hull from different shapes, the resultant [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) aren't always what you'd expect, which can result in lighting glitches like this. In some cases you can use the [smoothing](options.md#smoothing) command to smooth out these discrepancies, like so: ```swift smoothing 0.25 ``` ![Hull shape](../../images/smoothed-hull.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/1.6.0/ios/camera-control.md000066400000000000000000000024761450355336000214610ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled via touch gestures. The camera is not part of the file itself, and moving it will not change the file in any way. ## Camera Selection By default, the camera is positioned along the Z axis, looking down at the model. The distance of the camera from the origin is set automatically based on the bounding sphere of the model. You can choose a different camera angle from the camera menu in the top right of the screen. [Custom cameras](cameras.md#custom-cameras) can be defined programatically. To reset the current camera to its default position, select `Reset View`. ## Touch Controls Motion | Action :--------------------------- | :-------------------------- Rotate model | Swipe with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Pinch Roll | Pinch, then rotate fingers ## Copy Settings To copy the configuration for the current camera view, select `Copy Settings` from the camera menu. This will copy a snippet of ShapeScript code which you can then paste into your `.shape` file to define a [custom camera](cameras.md#custom-cameras). --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/1.6.0/ios/cameras.md000066400000000000000000000123401450355336000201550ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your models from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../../images/custom-camera-menu-ios.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#image-formats): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/1.6.0/ios/commands.md000066400000000000000000000145701450355336000203520ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the model, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#image-formats). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your model is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. ## Import The `import` command is used to import an external ShapeScript or 3D geometry file. For more details on how this is used, see the [import](import.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/1.6.0/ios/comments.md000066400000000000000000000032551450355336000203740ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a model. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. ## Block Comments Another way to disable a large chunk of code at once is to use a *block comment*. Block comments begin with `/*` and end with `*/`. Anything between these delimiters is considered part of the comment, even if they span multiple lines: ```swift /* // this code is disabled fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } */ ``` Block comments can also be useful if you want to place a comment in the middle of a line, for example: ```swift define a(b c d) { b /* + c */ + d } ``` Here we've excluded the `c` parameter from the result, however the code both before and after the comment is unaffected. ## Nested Comments Unlike some other languages, ShapeScript allows block comments to be nested inside each other. This is useful if you want to comment out some code that already contains comments: ```swift /* define foo { option bar 3 /* option baz 5 */ // return bar print bar } /* ``` --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/1.6.0/ios/control-flow.md000066400000000000000000000111131450355336000211640ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your model might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/1.6.0/ios/csg.md000066400000000000000000000075741450355336000173330ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The model on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../../images/group-vs-difference.png) The subtracted shape is removed from the resultant model, but leaves an impression in the object it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque model the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The model on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The model on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a model. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/1.6.0/ios/debugging.md000066400000000000000000000053001450355336000204730ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/1.6.0/ios/examples.md000066400000000000000000000035351450355336000203660ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../../images/earth.png) ## Spirals The Spirals example demonstrates using the [extrude](builders.md#extrude) command to create a spiral. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spirals](../../images/spirals.png) ## Spring The Spring example demonstrates how to use the [loft](builders.md#loft) command and a [for loop](control-flow.md#loops) to create a coiled spring shape. ![Spring](../../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.0/ios/export.md000066400000000000000000000125111450355336000200630ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D model, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript Mac App](https://apps.apple.com/app/id1441135869). Export is not available in the free ShapesScript Viewer for Mac and iOS.** To export your model, select the `File > Purchase Export Feature…` menu (**Cmd-Shift-E**) to unlock the export functionality. Once unlocked, this menu will change to `Export…`. **Note:** If the `Export…` menu is grayed-out, it is most likely because your model is still loading. Wait for the loading spinner in the top-left of the ShapeScript document window to finish before trying to export. ![Loading](../../images/loading.png) ## Export Formats ShapeScript can export your model in a variety of formats, selectable from the export window: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
**Note:** Not all formats support all features of ShapeScript models, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## Games and AR ShapeScript models are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use USD(Z) files with Apple's SceneKit and RealityKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in STL format, used by many 3D printing applications. Just use `stl` as the file extension when exporting your model for printing. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript uses the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the ShapeScript preferences to export models in this orientation. ## Image Formats In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ gif | Graphics Interchange Format | Yes png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No jpf / jp2 | JPEG 2000 | Yes tif / tiff | Tagged Image File Format | Yes bmp | Bitmap | No
If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. The size of the exported image defaults to the current window size and display resolution. You can override this size by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions): Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a ray tracing program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/1.6.0/ios/expressions.md000066400000000000000000000174631450355336000211370ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value % | modulo | Remainder of dividing the left value by the right value
Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison In addition to the standard arithmetic operators, ShapeScript also has equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else). The following infix comparison operators are supported: Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
**Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Boolean Algebra In addition to the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members There are currently no vector or matrix math operators such as dot product or vector addition, but these are mostly not needed in practice due to the [relative transform](transforms.md#relative-transforms) commands. It is however possible to use vector, size, rotation or [color](materials.md#color) values in expressions by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For strings, you can use the `lines`, `words` and `characters` members: ```swift define sentence "The quick brown fox" for word in sentence { print word // prints each word on a new line } ``` For [meshes](meshes.md) you can access the `name`, `bounds` and `polygons` members, and for [polygons](meshes.md#polygons-and-points) you can use `points` to access the individual vertices. For points you can access the `position` and `color`: ```swift define triangle polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Print the vertex colors for point in triangle.points { print "position: " point.position ", color: " point.color } ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/1.6.0/ios/functions.md000066400000000000000000000176141450355336000205630ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two or more values: ```swift min 2 4 // returns 2 min 5 0 -5.1 // returns -5.1 ``` The `max` function returns the higher of two or more values: ```swift max 2 4 // returns 4 max 5 0 -5.1 // returns 5 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry is ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript half-turn value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript half-turn value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :---------------------| :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to half-turns | halfturns = degrees / 180 Half-turns to degrees | degrees = halfturns * 180 Radians to half-turns | halfturns = degrees / pi Half-turns to radians | radians = halfturns * pi
Common values: Angle in degrees | Angle in radians | Angle in half-turns :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
## Strings ShapeScript includes a number of functions for manipulating strings. The `join` function concatenates two or more strings together, with an optional separator: ```swift define words "Hello" "World!" define greeting join words ", " print greeting // prints "Hello, World!" ``` If you don't want a delimiter, just pass an empty string as the second argument to join: ```swift define words "Hello" "World!" define greeting join(words "") print greeting // prints "HelloWorld!" ``` The `split` function breaks a string up into a tuple of substrings by splitting it at a specified delimiter: ```swift define input "comma,delimited,string" define elements split input "," print elements.second // prints "delimited" ``` The `trim` function removes any leading or trailing [white space](https://en.wikipedia.org/wiki/Whitespace_character) characters from a string: ```swift define input "comma, delimited , string,with ,spaces" define elements split input "," print elements.second // prints " delimited " print trim elements.second // prints just "delimited" without spaces ``` ## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/1.6.0/ios/getting-started.md000066400000000000000000000170471450355336000216600ustar00rootroot00000000000000Getting Started --- ShapeScript Viewer for iOS is designed for opening and exploring 3D models and scenes that use the ShapeScript `.shape` file format. If you do not have any existing ShapeScript files, you can create one using the `+` button. You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. ![New file modal](../../images/new-file-ios.png) After pressing OK you should see a new screen appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../../images/new-document-ios.png) ## Viewing Drag your finger inside the window and you will notice that the three objects appear to rotate. You are not actually moving the objects themselves, but rotating the camera around them. To return to the original orientaton, tap the camera icon in the top-right and select `Reset View`. To help you orient yourself, you can enable the `Show Axes` option in the camera menu, which displays the direction of the X, Y and Z axes. ![Show axes](../../images/show-axes-ios.png) For more information about navigating around the model, see [Camera Control](camera-control.md). ## Editing ShapeScript Viewer does not include an editor. To edit your `.shape` file you will need to open your `.shape` file in a separate text editor such as [Subtext](https://apps.apple.com/app/subtext/id1606625287) or [Runestone](https://apps.apple.com/app/runestone-text-editor/id1548193893). Once opened, the file should look something like this: ![Subtext editor](../../images/subtext-ios.png) ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. Subtext is free, but does not support syntax coloring or some of the other programmer-friendly features of more advanced editors. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Runestone) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. If you are using an iPad, you can use the [Split View](https://support.apple.com/en-gb/guide/ipad/ipad08c9970c/ipados) feature to show both ShapeScript Viewer and your text editor on screen simultaneously: ![Split View](../../images/split-view-ios.png) **Note:** Not all iOS text editors support *live editing* (where changes in the text are reflected automatically in ShapeScript as you make them). You may find you have to explicitly save or close the document in your editor for changes to take effect. ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. ShapeScript models are made out of flat polygons, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many polygons will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your models so that you avoid having to work with very large scales (thousands of units), or very small scales (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assume to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../../images/yellow-cube-ios.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../../images/error-screen-ios.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use undo feature in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection You can get information about your model (such as polygon count and overall dimensions) by tapping the info icon in the top-right corder of the screen. If a particular part of your model doesn't look right, you can tap to select it in the viewer, then get info on just the selected part. This will also tell you which line in the script file defines that component. ![Object info](../../images/object-info-ios.png) --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/1.6.0/ios/glossary.md000066400000000000000000000032301450355336000204030ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Half-turn | The unit used to specify angles or rotations in ShapeScript Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/1.6.0/ios/groups.md000066400000000000000000000025161450355336000200650ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs, etc. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [options](options.md) (material, detail, etc.) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the position of subsequent shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../../images/group.png) **Note:** Changes made to properties such as transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/1.6.0/ios/import.md000066400000000000000000000056301450355336000200600ustar00rootroot00000000000000Import --- ## Scripts ShapeScript files can get quite large for complicated models, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` Here we've used `import` to load an external ShapeScript file and evaluate it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Models The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. ## Text and Data In addition to scripts and standard model formats, text files can be imported as a [string](literals.md#strings) value. ```swift define data { import "Text.txt" } ``` Imported strings can then be displayed directly, or further processed using ShapeScript's [string functions](functions.md#strings): ```swift for line in text.lines { print (trim line) } ``` As well as plain text, ShapeScript also supports importing JSON files as [structured data](literals.md#structured-data): ```swift define data { import "Data.json" } ``` ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](examples.md) ShapeScript-1.6.14/docs/1.6.0/ios/index.md000066400000000000000000000150531450355336000176550ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Viewing](getting-started.md#viewing) - [Editing](getting-started.md#editing) - [File Structure](getting-started.md#file-structure) - [Next Steps](getting-started.md#next-steps) - [Debugging and Selection](getting-started.md#debugging-and-selection) - [Camera Control](camera-control.md) - [Camera Selection](camera-control.md#camera-selection) - [Mouse Control](camera-control.md#mouse-control) - [Trackpad Control](camera-control.md#trackpad-control) - [Copy Settings](camera-control.md#copy-settings) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Meshes](meshes.md) - [Polygons and Points](meshes.md#polygons-and-points) - [Watertightness](meshes.md#watertightness) - [Winding order](meshes.md#winding-order) - [Procedural Meshes](meshes.md#procedural-meshes) - [Concave and Non-planar Polygons](meshes.md#concave-and-non-planar-polygons) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Hull](builders.md#hull) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Groups](groups.md) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Block Comments](comments.md#block-comments) - [Nested Comments](comments.md#nested-comments) - [Literals](literals.md) - [Strings](literals.md#strings) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Trigonometry](functions.md#trigonometry) - [Strings](functions.md#strings) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Import](commands.md#import) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Scripts](import.md#scripts) - [Models](import.md#models) - [Text and Data](import.md#text-and-data) - [Dynamic Imports](import.md#dynamic-imports) - [Examples](examples.md) - [Ball](examples.md#ball) - [Chessboard](examples.md#chessboard) - [Cog](examples.md#cog) - [Earth](examples.md#earth) - [Spirals](examples.md#spirals) - [Spring](examples.md#spring) - [Train](examples.md#train) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.0/ios/lights.md000066400000000000000000000130111450355336000200300ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a model for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/1.6.0/ios/literals.md000066400000000000000000000135021450355336000203620ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a decimal literal false // a boolean literal "hello" // a string literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` ## Strings Strings are how human-readable text is represented in ShapeScript. These are used for a variety of purposes, including specifying file names for [imports](import.md) or [textures](materials.md#texture), [logging](debugging.md#logging) debug information to the console, or even rendering 3D text. String literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. If you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a string literal without a closing `"` is treated as an error, so if you need to include line-breaks in your string then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the string. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). A tuple of numeric values is also known as a *vector*. Vectors are used in ShapeScript to represent positions, colors, sizes and rotations. Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` You can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers. They can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, ... `last`) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.count // 3 print data.first // name print data.second // position print data.last // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` You can split up lists of data using the `allButFirst` and `allButLast` members: ```swift define data (1 2 3 4 5) print data.allButFirst // 2 3 4 5 print data.allButLast // 1 2 3 4 ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/1.6.0/ios/materials.md000066400000000000000000000223371450355336000205320ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using [string interpolation](text.md#interpolation), which is useful if you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` As with `color`, once a texture has been set it will be applied to all subsequent shapes defined in the same [scope](scope.md). To clear the current texture you can set it to an empty string: ```swift texture "" ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../../images/sandbox-error-ios.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is wrapped around the model depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../../images/textured-cube.png) ![Textured sphere](../../images/textured-sphere.png) ![Textured cylinder](../../images/textured-cylinder.png) ![Textured cone](../../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/1.6.0/ios/meshes.md000066400000000000000000000141021450355336000200240ustar00rootroot00000000000000Meshes --- While they may appear solid, the 3D shapes that ShapeScript produces are actually hollow shells composed of polygons. These polygon shells are known as [meshes](https://en.wikipedia.org/wiki/Polygon_mesh). ShapeScript provides many tools for constructing meshes, including [primitives](primitives.md), [builders](builders.md) and [CSG](csg.md) operations, but you can also create meshes manually by specifying each polygon yourself. While this is generally a tedious approach compared to the other tools, it affords you complete control over the mesh topology, and allows you to create arbitrary shapes that might be hard to achieve with higher-level tools. ## Polygons and Points A mesh is made up of one or more *polygons*, and each polygon is made up of three or more [vertices](https://en.wikipedia.org/wiki/Vertex_(geometry)) or *points*. To construct a mesh you use the `mesh`, `polygon` and `point` commands. The following code defines the simplest possible mesh - a single triangle: ```swift mesh { polygon { point 0 0 point 1 0 point 1 1 } } ``` ![Triangle](../../images/triangle-polygon.png) The `point` command accepts a [vector](literals.md#vectors-and-tuples) value. Polygons can be placed anywhere in three-dimensional space, so `point` accepts up to three values (for the X, Y and Z coordinates respectively). In this case we've just specified two values, so the Z coordinate defaults to zero. Manually constructed meshes do not currently support textures, but they inherit the current [material color](materials.md#color). Color can also be applied separately to individual vertices within a mesh. When vertices of a given polygon have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift mesh { polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } } ``` ![Colored triangle](../../images/colored-triangle.png) ## Watertightness If you rotate the triangle you will see that the back face is invisible. Most of the mesh-construction commands in ShapeScript produce shapes that are *watertight*, meaning that they do not contain any holes that would allow you to see the back faces of the polygon surface, but when you create a mesh using the `mesh` command it's up to you to ensure that the mesh you create is watertight. You can check this by selecting the mesh in the editor and [getting info](getting-started.md#debugging-and-selection). As you can see, our triangle is not watertight: ![Not watertight](../../images/not-watertight.png) Watertightness is an important quality when using [CSG](csg.md) operations, because the "solid" in Constructive Solid Geometry implies that shapes are expected to behave like solid objects (even though they are actually hollow), and holes or exposed back faces will cause glitches as ShapeScript is unable to determine whether a given point lies inside or outside the shape. To solve this, we can add another triangle with the same vertices but facing the opposite direction. But wait - we never specified the direction of the triangle face in the first place, so how does ShapeScript decide which way a polygon is facing? ## Winding order By convention, polygons in ShapeScript are assumed to be defined with [counterclockwise](https://en.wikipedia.org/wiki/Counterclockwise) (aka *anticlockwise*) winding. What that means is that when looking at the polygon from the front, the vertices will be ordered in counterclockwise direction. To add a back face we'll create a second triangle with the inverse vertex order: ```swift mesh { // Front polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Back polygon { point 1 1 point 1 0 point 0 0 } } ``` (We've left the back face white in this case, so you can tell which side is which). If you get info again you'll see that the triangle is now watertight: ## Procedural Meshes We've learned how to make a triangle, but what about something a bit more complex? For our next trick we're going to create a cube. A cube has six faces, each consisting of four vertices - 24 vertices in total. But in fact there are really only eight unique vertices, so rather than tediously typing out the same points over and over, maybe we can use the power of scripting to save ourselves some effort? First we'll define a [block](blocks.md) called "side" that creates a single side of the cube: ```swift define side { color rnd rnd rnd polygon { point -0.5 -0.5 0.5 point +0.5 -0.5 0.5 point +0.5 +0.5 0.5 point -0.5 +0.5 0.5 } } ``` Note that the `color rnd rnd rnd` - this will produce a different random color each time the block is called, making the cube a little more interesting to look at. Next we'll call `side` block six times from inside a `mesh`, passing a different orientation each time: ```swift mesh { side { orientation 0 } side { orientation 0 0.5 } side { orientation 0 1 } side { orientation 0 1.5 } side { orientation 0 0 0.5 } side { orientation 0 0 -0.5 } } ``` And voila! A colored cube: ![Cube mesh](../../images/cube-mesh.png) Obviously this is a lot more trouble than just using the [cube](primitives.md#cube) command, but hopefully you can see the potential for creating more interesting shapes. ## Concave and Non-planar Polygons In many 3D engines, meshes must be constructed exclusively from triangles. The reason for this is that by definition a triangle is always both [convex](https://en.wikipedia.org/wiki/Convex_polygon) and *planar*, meaning that all its vertices lie on the same plane, which simplifies the mathematics needed to [rasterize](https://en.wikipedia.org/wiki/Rasterisation) or render the mesh. ShapeScript places no such restrictions on the polygons that you define in your mesh. Non-planar or non-convex polygons will be automatically split into their constituent triangles as needed for [export](export.md) or display. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/1.6.0/ios/options.md000066400000000000000000000134241450355336000202410ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a texture value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name is not displayed in the app, and currently has no use within ShapeScript itself, however it can be useful for identifying distinct shape components when importing an exported ShapeScript model into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a model that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/1.6.0/ios/paths.md000066400000000000000000000176351450355336000176750ustar00rootroot00000000000000Paths --- A path is a sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a 3D model (except possibly for something like a thin rope or antenna), but they can be used to define the contours of a 3D mesh (see [builders](builders.md) for details). ## Points As with the [polygons](meshes.md#polygons-and-points) in a mesh, you define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be three-dimensional, so `point` accepts up to three coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of zero). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point must have the same position. The following path has four points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves in ShapeScript are created using [quadratic Béziers curves](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. Just as [3D meshes](meshes.md) are constructed from flat polygons, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift detail 99 path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../../images/octocircle.png) ## Circles There is actually an easier way to create a circular path, which is to use the `circle` command: ```swift circle ``` The result of calling `circle` is visually almost indistinguishable from the Bézier-based solution above (at a sufficiently high detail level), but you don't have to worry about calculating the positions of the control points. Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../../images/roundrect.png) ## Regular Polygons When used outside of a `mesh`, the `polygon` command can be used to create a regular polygon. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/1.6.0/ios/primitives.md000066400000000000000000000053361450355336000207440ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct simple models. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) and [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of polygons, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/1.6.0/ios/scope.md000066400000000000000000000035721450355336000176620ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines sub-objects in your model can use transforms and materials internally without the effects "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/1.6.0/ios/symbols.md000066400000000000000000000052541450355336000202400ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/1.6.0/ios/text.md000066400000000000000000000163701450355336000175350ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [string interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use string interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty string literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% text "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% text "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [string interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/1.6.0/ios/transforms.md000066400000000000000000000147101450355336000207430ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)). This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. For example the following code applies a pitch of 45 degrees followed by a roll of 80 degrees, which would be very difficult to express as a single `rotate` or `orientation` instruction due to the fixed roll-yaw-pitch order: ```swift rotate 0 0 0.25 // pitch 45 degrees rotate 0.4 0 0 // roll 80 degrees cube ``` --- [Index](index.md) | Next: [Bounds](bounds.md) ShapeScript-1.6.14/docs/1.6.0/mac/000077500000000000000000000000001450355336000161665ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.0/mac/blocks.md000066400000000000000000000047461450355336000200000ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/1.6.0/mac/bounds.md000066400000000000000000000056521450355336000200120ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needed to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Meshes](meshes.md) ShapeScript-1.6.14/docs/1.6.0/mac/builders.md000066400000000000000000000200551450355336000203230ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D model: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` ![Prism](../../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../../images/roundrect-extrusion.png) In the following example, we extrude a square cross-section along a twisting 3D path: ```swift define shape path { orientation 0 0 -0.4 curve 0 1 0.75 curve -1 0 curve 0 -1 0.25 curve 1 0 curve 1 1 curve 0 1 0.75 } extrude { square { size 0.1 } along shape } ``` ![Tangential extrusion](../../images/tangential-extrusion.png) Note how the cross-section tilts as it follows the path. This can be a nice effect, but you might prefer that the cross section remains perpendicular to the world axes. To control this, you can use the `axisAligned` property: ```swift extrude { square { size 0.1 } along shape axisAligned true } ``` ![Axis-aligned extrusion](../../images/axis-aligned-extrusion.png) A value of `true` for `axisAligned` means the cross section will remain perpendicular to the path, which in some cases may cause the shape to look "pinched". A value of `false` means the cross-section is always aligned to the tangent of the path, which ensures consistent thickness at the cost of inconsistent orientation. If the `axisAligned` property is omitted, ShapeScript will try to choose an appropriate alignment for the path provided to `along`. ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } translate 0 0 2 // triangle 2 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../../images/loftshape.png) ## Hull The `hull` command works a bit like `loft`, in that it joins together multiple paths to form a solid surface. Here is the `loft` shape above, implemented using `hull`: ```swift hull { square translate 0 0 1 circle } ``` ![Hull shape](../../images/loftshape.png) So if `hull` and `loft` are the same, why have a separate command? The difference is that rather than joining sections together in a tube, `hull` forms a tight *skin* around the outside of all its child shapes, known as a [convex hull](https://en.wikipedia.org/wiki/Convex_hull). To illustrate the difference, here is the `hull` of a star shape, vs a `loft` of the same shape: ![Hull shape](../../images/hull-vs-loft.png) But the real power of the `hull` command is that it's not limited to operating on paths. Unlike the other builders, you can create a hull around meshes, paths, points, or any combination. For example, here is a hull formed from a cylinder and a point: ```swift hull { cylinder point 1 0 0 } ``` ![Hull shape](../../images/hull.png) This allows for a lot of interesting shapes that would be hard to create using the other commands. You might notice some odd stripes on the surface near the lip of the cylinder. As you may recall from the [detail](options.md#detail) section, curved surfaces in ShapeScript are actually formed from straight-edged polygons, with lighting used to make them appear smooth. When creating a hull from different shapes, the resultant [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) aren't always what you'd expect, which can result in lighting glitches like this. In some cases you can use the [smoothing](options.md#smoothing) command to smooth out these discrepancies, like so: ```swift smoothing 0.25 ``` ![Hull shape](../../images/smoothed-hull.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/1.6.0/mac/camera-control.md000066400000000000000000000037201450355336000214200ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled via a mouse or trackpad. The camera is not part of the file itself, and moving it will not change the file in any way. ## Camera Selection By default, the camera is positioned along the Z axis, looking down at the model. The distance of the camera from the origin is set automatically based on the bounding sphere of the model. You can choose a different camera angle from the `View > Camera` menu. [Custom cameras](cameras.md#custom-cameras) can be defined programatically. To reset the current camera to its default position, select the `View > Camera > Reset` menu, or press **Cmd-0** on the keyboard. ## Mouse Control **Note:** The instructions below assume the use of an Apple Magic Mouse. Controls for other mice may differ. Motion | Action :--------------------------- | :-------------------------- Rotate model | Hold the mouse button and drag Pan up/down/left/right | Either swipe the mouse surface with one finger, or hold Shift + mouse button and drag Zoom in and out | Hold Shift, then swipe up or down on the mouse surface with one finger
## Trackpad Control Motion | Action :--------------------------- | :-------------------------- Rotate model | Click and drag with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Either pinch, or hold Shift + swipe up or down with two fingers Roll | Pinch, then rotate fingers
## Copy Settings To copy the configuration for the current camera view, select `View > Copy Camera Settings`, or press **Cmd-Shift-C** on the keyboard. This will copy a snippet of ShapeScript code that you can paste into your `.shape` file to define a [custom camera](cameras.md#custom-cameras). --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/1.6.0/mac/cameras.md000066400000000000000000000123341450355336000201260ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your models from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../../images/custom-camera-menu.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#image-formats): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/1.6.0/mac/commands.md000066400000000000000000000145701450355336000203200ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the model, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#image-formats). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your model is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. ## Import The `import` command is used to import an external ShapeScript or 3D geometry file. For more details on how this is used, see the [import](import.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/1.6.0/mac/comments.md000066400000000000000000000032551450355336000203420ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a model. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. ## Block Comments Another way to disable a large chunk of code at once is to use a *block comment*. Block comments begin with `/*` and end with `*/`. Anything between these delimiters is considered part of the comment, even if they span multiple lines: ```swift /* // this code is disabled fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } */ ``` Block comments can also be useful if you want to place a comment in the middle of a line, for example: ```swift define a(b c d) { b /* + c */ + d } ``` Here we've excluded the `c` parameter from the result, however the code both before and after the comment is unaffected. ## Nested Comments Unlike some other languages, ShapeScript allows block comments to be nested inside each other. This is useful if you want to comment out some code that already contains comments: ```swift /* define foo { option bar 3 /* option baz 5 */ // return bar print bar } /* ``` --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/1.6.0/mac/control-flow.md000066400000000000000000000111131450355336000211320ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your model might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/1.6.0/mac/csg.md000066400000000000000000000075741450355336000173010ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The model on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../../images/group-vs-difference.png) The subtracted shape is removed from the resultant model, but leaves an impression in the object it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque model the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The model on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The model on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a model. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/1.6.0/mac/debugging.md000066400000000000000000000053001450355336000204410ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/1.6.0/mac/examples.md000066400000000000000000000035351450355336000203340ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../../images/earth.png) ## Spirals The Spirals example demonstrates using the [extrude](builders.md#extrude) command to create a spiral. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spirals](../../images/spirals.png) ## Spring The Spring example demonstrates how to use the [loft](builders.md#loft) command and a [for loop](control-flow.md#loops) to create a coiled spring shape. ![Spring](../../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.0/mac/export.md000066400000000000000000000125111450355336000200310ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D model, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript Mac App](https://apps.apple.com/app/id1441135869). Export is not available in the free ShapesScript Viewer for Mac and iOS.** To export your model, select the `File > Purchase Export Feature…` menu (**Cmd-Shift-E**) to unlock the export functionality. Once unlocked, this menu will change to `Export…`. **Note:** If the `Export…` menu is grayed-out, it is most likely because your model is still loading. Wait for the loading spinner in the top-left of the ShapeScript document window to finish before trying to export. ![Loading](../../images/loading.png) ## Export Formats ShapeScript can export your model in a variety of formats, selectable from the export window: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
**Note:** Not all formats support all features of ShapeScript models, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## Games and AR ShapeScript models are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use USD(Z) files with Apple's SceneKit and RealityKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in STL format, used by many 3D printing applications. Just use `stl` as the file extension when exporting your model for printing. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript uses the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the ShapeScript preferences to export models in this orientation. ## Image Formats In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ gif | Graphics Interchange Format | Yes png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No jpf / jp2 | JPEG 2000 | Yes tif / tiff | Tagged Image File Format | Yes bmp | Bitmap | No
If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. The size of the exported image defaults to the current window size and display resolution. You can override this size by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions): Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a ray tracing program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/1.6.0/mac/expressions.md000066400000000000000000000174631450355336000211050ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value % | modulo | Remainder of dividing the left value by the right value
Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison In addition to the standard arithmetic operators, ShapeScript also has equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else). The following infix comparison operators are supported: Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
**Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Boolean Algebra In addition to the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members There are currently no vector or matrix math operators such as dot product or vector addition, but these are mostly not needed in practice due to the [relative transform](transforms.md#relative-transforms) commands. It is however possible to use vector, size, rotation or [color](materials.md#color) values in expressions by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For strings, you can use the `lines`, `words` and `characters` members: ```swift define sentence "The quick brown fox" for word in sentence { print word // prints each word on a new line } ``` For [meshes](meshes.md) you can access the `name`, `bounds` and `polygons` members, and for [polygons](meshes.md#polygons-and-points) you can use `points` to access the individual vertices. For points you can access the `position` and `color`: ```swift define triangle polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Print the vertex colors for point in triangle.points { print "position: " point.position ", color: " point.color } ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/1.6.0/mac/functions.md000066400000000000000000000176141450355336000205310ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two or more values: ```swift min 2 4 // returns 2 min 5 0 -5.1 // returns -5.1 ``` The `max` function returns the higher of two or more values: ```swift max 2 4 // returns 4 max 5 0 -5.1 // returns 5 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry is ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript half-turn value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript half-turn value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :---------------------| :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to half-turns | halfturns = degrees / 180 Half-turns to degrees | degrees = halfturns * 180 Radians to half-turns | halfturns = degrees / pi Half-turns to radians | radians = halfturns * pi
Common values: Angle in degrees | Angle in radians | Angle in half-turns :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
## Strings ShapeScript includes a number of functions for manipulating strings. The `join` function concatenates two or more strings together, with an optional separator: ```swift define words "Hello" "World!" define greeting join words ", " print greeting // prints "Hello, World!" ``` If you don't want a delimiter, just pass an empty string as the second argument to join: ```swift define words "Hello" "World!" define greeting join(words "") print greeting // prints "HelloWorld!" ``` The `split` function breaks a string up into a tuple of substrings by splitting it at a specified delimiter: ```swift define input "comma,delimited,string" define elements split input "," print elements.second // prints "delimited" ``` The `trim` function removes any leading or trailing [white space](https://en.wikipedia.org/wiki/Whitespace_character) characters from a string: ```swift define input "comma, delimited , string,with ,spaces" define elements split input "," print elements.second // prints " delimited " print trim elements.second // prints just "delimited" without spaces ``` ## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/1.6.0/mac/getting-started.md000066400000000000000000000174651450355336000216320ustar00rootroot00000000000000Getting Started --- Start by creating a new ShapeScript document. You can do this by selecting `File > New` in the menu bar (or by pressing **Cmd-N** on the keyboard). You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. **Note:** If you cannot see the file prompt, check that it hasn't appeared *behind* this help window. The help window floats in front of all other windows and applications, so you may need to move it out of the way. You should see a new window appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../../images/new-document-mac.png) ## Viewing Drag your mouse cursor inside the window and you will notice that the three objects appear to rotate. You are not actually moving the objects themselves, but rotating the camera around them. To reset the view, select `View > Camera > Reset` or press **Cmd-0**. To help you orient yourself, you can use the `View > Show Axes` option, which displays the direction of the X, Y and Z axes. ![Show axes](../../images/show-axes-mac.png) For more information about navigating around the model, see [Camera Control](camera-control.md). ## Editing To edit the 3D model, select the `Edit > Open in Editor` menu or press **Cmd-E**. ShapeScript does not include an editor. Instead, the `Open in Editor` command will ask you to select an external text editor to use. If you do not have any other editors installed, the default option will probably be TextEdit. Once opened, the file should look something like this: ![TextEdit window](../../images/textedit-mac.png) ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. TextEdit will work, but is probably not the best choice as it does not support syntax coloring or any of the other programmer-friendly features of modern editors. If you have a more advanced editor such as [SubEthaEdit](https://subethaedit.net), [TextMate](https://macromates.com), [Sublime Text](https://www.sublimetext.com) or [Atom](https://atom.io) then it would be better to use one of these. An Integrated Development Environment (IDE) such as [Xcode](https://developer.apple.com/xcode/) is also a good option. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Xcode) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. ShapeScript will only ask you which editor you want to use the *first* time you edit a file, then it will remember your choice. If you change your mind later, you can select a different editor in Preferences (select the `ShapeScript > Preferences…` menu or press **Cmd-,**). ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. ShapeScript models are made out of flat polygons, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many polygons will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your models so that you avoid having to work with very large scales (thousands of units), or very small scales (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assume to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../../images/yellow-cube-mac.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../../images/error-screen-mac.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use the `Edit > Undo` menu in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection You can get information about your model (such as polygon count and overall dimensions) by selecting `View > Model Info` (**Cmd-I**) in the menu bar. If a particular part of your model doesn't look right, you can click to select it in the viewing window, and then use `View > Model Info` (**Cmd-I**) to get info on just the selected part. This will also tell you which line in the script file defines that component. ![Object info](../../images/object-info-mac.png) --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/1.6.0/mac/glossary.md000066400000000000000000000032301450355336000203510ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Half-turn | The unit used to specify angles or rotations in ShapeScript Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/1.6.0/mac/groups.md000066400000000000000000000025161450355336000200330ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs, etc. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [options](options.md) (material, detail, etc.) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the position of subsequent shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../../images/group.png) **Note:** Changes made to properties such as transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/1.6.0/mac/import.md000066400000000000000000000056261450355336000200330ustar00rootroot00000000000000Import --- ## Scripts ShapeScript files can get quite large for complicated models, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` Here we've used `import` to load an external ShapeScript file and evaluate it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Models The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. ## Text and Data In addition to scripts and standard model formats, text files can be imported as a [string](literals.md#strings) value. ```swift define data { import "Text.txt" } ``` Imported strings can then be displayed directly, or further processed using ShapeScript's [string functions](functions.md#strings): ```swift for line in text.lines { print (trim line) } ``` As well as plain text, ShapeScript also supports importing JSON files as [structured data](literals.md#structured-data): ```swift define data { import "Data.json" } ``` ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](export.md) ShapeScript-1.6.14/docs/1.6.0/mac/index.md000066400000000000000000000153711450355336000176260ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Viewing](getting-started.md#viewing) - [Editing](getting-started.md#editing) - [File Structure](getting-started.md#file-structure) - [Next Steps](getting-started.md#next-steps) - [Debugging and Selection](getting-started.md#debugging-and-selection) - [Camera Control](camera-control.md) - [Camera Selection](camera-control.md#camera-selection) - [Mouse Control](camera-control.md#mouse-control) - [Trackpad Control](camera-control.md#trackpad-control) - [Copy Settings](camera-control.md#copy-settings) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Meshes](meshes.md) - [Polygons and Points](meshes.md#polygons-and-points) - [Watertightness](meshes.md#watertightness) - [Winding order](meshes.md#winding-order) - [Procedural Meshes](meshes.md#procedural-meshes) - [Concave and Non-planar Polygons](meshes.md#concave-and-non-planar-polygons) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Hull](builders.md#hull) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Groups](groups.md) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Block Comments](comments.md#block-comments) - [Nested Comments](comments.md#nested-comments) - [Literals](literals.md) - [Strings](literals.md#strings) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Trigonometry](functions.md#trigonometry) - [Strings](functions.md#strings) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Import](commands.md#import) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Scripts](import.md#scripts) - [Models](import.md#models) - [Text and Data](import.md#text-and-data) - [Dynamic Imports](import.md#dynamic-imports) - [Export](export.md) - [Export Formats](export.md#export-formats) - [Games and AR](export.md#games-and-ar) - [3D Printing](export.md#3d-printing) - [Image Formats](export.md#image-formats) - [Examples](examples.md) - [Ball](examples.md#ball) - [Chessboard](examples.md#chessboard) - [Cog](examples.md#cog) - [Earth](examples.md#earth) - [Spirals](examples.md#spirals) - [Spring](examples.md#spring) - [Train](examples.md#train) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.0/mac/lights.md000066400000000000000000000130111450355336000177760ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a model for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/1.6.0/mac/literals.md000066400000000000000000000135021450355336000203300ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a decimal literal false // a boolean literal "hello" // a string literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` ## Strings Strings are how human-readable text is represented in ShapeScript. These are used for a variety of purposes, including specifying file names for [imports](import.md) or [textures](materials.md#texture), [logging](debugging.md#logging) debug information to the console, or even rendering 3D text. String literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. If you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a string literal without a closing `"` is treated as an error, so if you need to include line-breaks in your string then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the string. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). A tuple of numeric values is also known as a *vector*. Vectors are used in ShapeScript to represent positions, colors, sizes and rotations. Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` You can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers. They can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, ... `last`) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.count // 3 print data.first // name print data.second // position print data.last // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` You can split up lists of data using the `allButFirst` and `allButLast` members: ```swift define data (1 2 3 4 5) print data.allButFirst // 2 3 4 5 print data.allButLast // 1 2 3 4 ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/1.6.0/mac/materials.md000066400000000000000000000223331450355336000204740ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using [string interpolation](text.md#interpolation), which is useful if you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` As with `color`, once a texture has been set it will be applied to all subsequent shapes defined in the same [scope](scope.md). To clear the current texture you can set it to an empty string: ```swift texture "" ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../../images/sandbox-error.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is wrapped around the model depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../../images/textured-cube.png) ![Textured sphere](../../images/textured-sphere.png) ![Textured cylinder](../../images/textured-cylinder.png) ![Textured cone](../../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/1.6.0/mac/meshes.md000066400000000000000000000141021450355336000177720ustar00rootroot00000000000000Meshes --- While they may appear solid, the 3D shapes that ShapeScript produces are actually hollow shells composed of polygons. These polygon shells are known as [meshes](https://en.wikipedia.org/wiki/Polygon_mesh). ShapeScript provides many tools for constructing meshes, including [primitives](primitives.md), [builders](builders.md) and [CSG](csg.md) operations, but you can also create meshes manually by specifying each polygon yourself. While this is generally a tedious approach compared to the other tools, it affords you complete control over the mesh topology, and allows you to create arbitrary shapes that might be hard to achieve with higher-level tools. ## Polygons and Points A mesh is made up of one or more *polygons*, and each polygon is made up of three or more [vertices](https://en.wikipedia.org/wiki/Vertex_(geometry)) or *points*. To construct a mesh you use the `mesh`, `polygon` and `point` commands. The following code defines the simplest possible mesh - a single triangle: ```swift mesh { polygon { point 0 0 point 1 0 point 1 1 } } ``` ![Triangle](../../images/triangle-polygon.png) The `point` command accepts a [vector](literals.md#vectors-and-tuples) value. Polygons can be placed anywhere in three-dimensional space, so `point` accepts up to three values (for the X, Y and Z coordinates respectively). In this case we've just specified two values, so the Z coordinate defaults to zero. Manually constructed meshes do not currently support textures, but they inherit the current [material color](materials.md#color). Color can also be applied separately to individual vertices within a mesh. When vertices of a given polygon have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift mesh { polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } } ``` ![Colored triangle](../../images/colored-triangle.png) ## Watertightness If you rotate the triangle you will see that the back face is invisible. Most of the mesh-construction commands in ShapeScript produce shapes that are *watertight*, meaning that they do not contain any holes that would allow you to see the back faces of the polygon surface, but when you create a mesh using the `mesh` command it's up to you to ensure that the mesh you create is watertight. You can check this by selecting the mesh in the editor and [getting info](getting-started.md#debugging-and-selection). As you can see, our triangle is not watertight: ![Not watertight](../../images/not-watertight.png) Watertightness is an important quality when using [CSG](csg.md) operations, because the "solid" in Constructive Solid Geometry implies that shapes are expected to behave like solid objects (even though they are actually hollow), and holes or exposed back faces will cause glitches as ShapeScript is unable to determine whether a given point lies inside or outside the shape. To solve this, we can add another triangle with the same vertices but facing the opposite direction. But wait - we never specified the direction of the triangle face in the first place, so how does ShapeScript decide which way a polygon is facing? ## Winding order By convention, polygons in ShapeScript are assumed to be defined with [counterclockwise](https://en.wikipedia.org/wiki/Counterclockwise) (aka *anticlockwise*) winding. What that means is that when looking at the polygon from the front, the vertices will be ordered in counterclockwise direction. To add a back face we'll create a second triangle with the inverse vertex order: ```swift mesh { // Front polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Back polygon { point 1 1 point 1 0 point 0 0 } } ``` (We've left the back face white in this case, so you can tell which side is which). If you get info again you'll see that the triangle is now watertight: ## Procedural Meshes We've learned how to make a triangle, but what about something a bit more complex? For our next trick we're going to create a cube. A cube has six faces, each consisting of four vertices - 24 vertices in total. But in fact there are really only eight unique vertices, so rather than tediously typing out the same points over and over, maybe we can use the power of scripting to save ourselves some effort? First we'll define a [block](blocks.md) called "side" that creates a single side of the cube: ```swift define side { color rnd rnd rnd polygon { point -0.5 -0.5 0.5 point +0.5 -0.5 0.5 point +0.5 +0.5 0.5 point -0.5 +0.5 0.5 } } ``` Note that the `color rnd rnd rnd` - this will produce a different random color each time the block is called, making the cube a little more interesting to look at. Next we'll call `side` block six times from inside a `mesh`, passing a different orientation each time: ```swift mesh { side { orientation 0 } side { orientation 0 0.5 } side { orientation 0 1 } side { orientation 0 1.5 } side { orientation 0 0 0.5 } side { orientation 0 0 -0.5 } } ``` And voila! A colored cube: ![Cube mesh](../../images/cube-mesh.png) Obviously this is a lot more trouble than just using the [cube](primitives.md#cube) command, but hopefully you can see the potential for creating more interesting shapes. ## Concave and Non-planar Polygons In many 3D engines, meshes must be constructed exclusively from triangles. The reason for this is that by definition a triangle is always both [convex](https://en.wikipedia.org/wiki/Convex_polygon) and *planar*, meaning that all its vertices lie on the same plane, which simplifies the mathematics needed to [rasterize](https://en.wikipedia.org/wiki/Rasterisation) or render the mesh. ShapeScript places no such restrictions on the polygons that you define in your mesh. Non-planar or non-convex polygons will be automatically split into their constituent triangles as needed for [export](export.md) or display. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/1.6.0/mac/options.md000066400000000000000000000134241450355336000202070ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a texture value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name is not displayed in the app, and currently has no use within ShapeScript itself, however it can be useful for identifying distinct shape components when importing an exported ShapeScript model into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a model that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/1.6.0/mac/paths.md000066400000000000000000000176351450355336000176430ustar00rootroot00000000000000Paths --- A path is a sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a 3D model (except possibly for something like a thin rope or antenna), but they can be used to define the contours of a 3D mesh (see [builders](builders.md) for details). ## Points As with the [polygons](meshes.md#polygons-and-points) in a mesh, you define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be three-dimensional, so `point` accepts up to three coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of zero). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point must have the same position. The following path has four points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves in ShapeScript are created using [quadratic Béziers curves](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. Just as [3D meshes](meshes.md) are constructed from flat polygons, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift detail 99 path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../../images/octocircle.png) ## Circles There is actually an easier way to create a circular path, which is to use the `circle` command: ```swift circle ``` The result of calling `circle` is visually almost indistinguishable from the Bézier-based solution above (at a sufficiently high detail level), but you don't have to worry about calculating the positions of the control points. Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../../images/roundrect.png) ## Regular Polygons When used outside of a `mesh`, the `polygon` command can be used to create a regular polygon. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/1.6.0/mac/primitives.md000066400000000000000000000053361450355336000207120ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct simple models. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) and [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of polygons, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/1.6.0/mac/scope.md000066400000000000000000000035721450355336000176300ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines sub-objects in your model can use transforms and materials internally without the effects "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/1.6.0/mac/symbols.md000066400000000000000000000052541450355336000202060ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/1.6.0/mac/text.md000066400000000000000000000163701450355336000175030ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [string interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use string interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty string literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% text "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% text "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [string interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/1.6.0/mac/transforms.md000066400000000000000000000147101450355336000207110ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)). This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. For example the following code applies a pitch of 45 degrees followed by a roll of 80 degrees, which would be very difficult to express as a single `rotate` or `orientation` instruction due to the fixed roll-yaw-pitch order: ```swift rotate 0 0 0.25 // pitch 45 degrees rotate 0.4 0 0 // roll 80 degrees cube ``` --- [Index](index.md) | Next: [Bounds](bounds.md) ShapeScript-1.6.14/docs/1.6.1/000077500000000000000000000000001450355336000154275ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.1/ios/000077500000000000000000000000001450355336000162215ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.1/ios/blocks.md000066400000000000000000000047461450355336000200330ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/1.6.1/ios/bounds.md000066400000000000000000000056521450355336000200450ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needed to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Meshes](meshes.md) ShapeScript-1.6.14/docs/1.6.1/ios/builders.md000066400000000000000000000220431450355336000203550ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D model: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` ![Prism](../../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../../images/roundrect-extrusion.png) In the following example, we extrude a square cross-section along a 3D path: ```swift define shape path { orientation 0 0 -0.4 curve 0 1 0.75 curve -1 0 curve 0 -1 0.25 curve 1 0 curve 1 1 curve 0 1 0.75 } extrude { square { size 0.1 } along shape } ``` ![Tangential extrusion](../../images/tangential-extrusion.png) Note how the cross-section tilts as it follows the path. This can be a nice effect, but you might prefer that the cross section remains perpendicular to the world axes. To control this, you can use the `axisAligned` property: ```swift extrude { square { size 0.1 } along shape axisAligned true } ``` ![Axis-aligned extrusion](../../images/axis-aligned-extrusion.png) A value of `true` for `axisAligned` means the cross section will remain perpendicular to the path, which in some cases may cause the shape to look "pinched". A value of `false` means the cross-section is always aligned to the tangent of the path, which ensures consistent thickness at the cost of inconsistent orientation. If the `axisAligned` property is omitted, ShapeScript will try to choose an appropriate alignment for the path provided to `along`. To apply a twist along the length of an extruded shape, you can use the `twist` property: ```swift extrude { square twist 0.5 } ``` ![Twisted extrusion](../../images/twisted-extrusion.png) Twist uses the same [half-turn](transforms.md#orientation) units as the other rotation commands, so a twist of 0.5 equates to one quarter turn, or 90 degrees. Applying a twist will automatically increase the number of cross sections in proportion to the current [detail](options.md#detail) level to prevent distortion: ![Twisted extrusion wireframe](../../images/twisted-extrusion-wireframe.png) You can combine `twist` with the `along` property to twist a curved path: ```swift extrude { square { size 0.2 } along circle twist 2 } ``` ![Twisted circle](../../images/twisted-circle.png) **Note:** when extruding along a closed path, you should always use a multiple of `2` (i.e. a full rotation) for the `twist` value to avoid an ugly seam: ![Twisted circle seam](../../images/twisted-circle-seam.png) ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } translate 0 0 2 // triangle 2 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../../images/loftshape.png) ## Hull The `hull` command works a bit like `loft`, in that it joins together multiple paths to form a solid surface. Here is the `loft` shape above, implemented using `hull`: ```swift hull { square translate 0 0 1 circle } ``` ![Hull shape](../../images/loftshape.png) So if `hull` and `loft` are the same, why have a separate command? The difference is that rather than joining sections together in a tube, `hull` forms a tight *skin* around the outside of all its child shapes, known as a [convex hull](https://en.wikipedia.org/wiki/Convex_hull). To illustrate the difference, here is the `hull` of a star shape, vs a `loft` of the same shape: ![Hull shape](../../images/hull-vs-loft.png) But the real power of the `hull` command is that it's not limited to operating on paths. Unlike the other builders, you can create a hull around meshes, paths, points, or any combination. For example, here is a hull formed from a cylinder and a point: ```swift hull { cylinder point 1 0 0 } ``` ![Hull shape](../../images/hull.png) This allows for a lot of interesting shapes that would be hard to create using the other commands. You might notice some odd stripes on the surface near the lip of the cylinder. As you may recall from the [detail](options.md#detail) section, curved surfaces in ShapeScript are actually formed from straight-edged polygons, with lighting used to make them appear smooth. When creating a hull from different shapes, the resultant [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) aren't always what you'd expect, which can result in lighting glitches like this. In some cases you can use the [smoothing](options.md#smoothing) command to smooth out these discrepancies, like so: ```swift smoothing 0.25 ``` ![Hull shape](../../images/smoothed-hull.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/1.6.1/ios/camera-control.md000066400000000000000000000024761450355336000214620ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled via touch gestures. The camera is not part of the file itself, and moving it will not change the file in any way. ## Camera Selection By default, the camera is positioned along the Z axis, looking down at the model. The distance of the camera from the origin is set automatically based on the bounding sphere of the model. You can choose a different camera angle from the camera menu in the top right of the screen. [Custom cameras](cameras.md#custom-cameras) can be defined programatically. To reset the current camera to its default position, select `Reset View`. ## Touch Controls Motion | Action :--------------------------- | :-------------------------- Rotate model | Swipe with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Pinch Roll | Pinch, then rotate fingers ## Copy Settings To copy the configuration for the current camera view, select `Copy Settings` from the camera menu. This will copy a snippet of ShapeScript code which you can then paste into your `.shape` file to define a [custom camera](cameras.md#custom-cameras). --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/1.6.1/ios/cameras.md000066400000000000000000000123401450355336000201560ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your models from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../../images/custom-camera-menu-ios.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#image-formats): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/1.6.1/ios/commands.md000066400000000000000000000145701450355336000203530ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the model, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#image-formats). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your model is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. ## Import The `import` command is used to import an external ShapeScript or 3D geometry file. For more details on how this is used, see the [import](import.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/1.6.1/ios/comments.md000066400000000000000000000032551450355336000203750ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a model. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. ## Block Comments Another way to disable a large chunk of code at once is to use a *block comment*. Block comments begin with `/*` and end with `*/`. Anything between these delimiters is considered part of the comment, even if they span multiple lines: ```swift /* // this code is disabled fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } */ ``` Block comments can also be useful if you want to place a comment in the middle of a line, for example: ```swift define a(b c d) { b /* + c */ + d } ``` Here we've excluded the `c` parameter from the result, however the code both before and after the comment is unaffected. ## Nested Comments Unlike some other languages, ShapeScript allows block comments to be nested inside each other. This is useful if you want to comment out some code that already contains comments: ```swift /* define foo { option bar 3 /* option baz 5 */ // return bar print bar } /* ``` --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/1.6.1/ios/control-flow.md000066400000000000000000000111131450355336000211650ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your model might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/1.6.1/ios/csg.md000066400000000000000000000075741450355336000173340ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The model on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../../images/group-vs-difference.png) The subtracted shape is removed from the resultant model, but leaves an impression in the object it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque model the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The model on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The model on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a model. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/1.6.1/ios/debugging.md000066400000000000000000000053001450355336000204740ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/1.6.1/ios/examples.md000066400000000000000000000035351450355336000203670ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../../images/earth.png) ## Spirals The Spirals example demonstrates using the [extrude](builders.md#extrude) command to create a spiral. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spirals](../../images/spirals.png) ## Spring The Spring example demonstrates how to use the [loft](builders.md#loft) command and a [for loop](control-flow.md#loops) to create a coiled spring shape. ![Spring](../../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.1/ios/export.md000066400000000000000000000125111450355336000200640ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D model, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript Mac App](https://apps.apple.com/app/id1441135869). Export is not available in the free ShapesScript Viewer for Mac and iOS.** To export your model, select the `File > Purchase Export Feature…` menu (**Cmd-Shift-E**) to unlock the export functionality. Once unlocked, this menu will change to `Export…`. **Note:** If the `Export…` menu is grayed-out, it is most likely because your model is still loading. Wait for the loading spinner in the top-left of the ShapeScript document window to finish before trying to export. ![Loading](../../images/loading.png) ## Export Formats ShapeScript can export your model in a variety of formats, selectable from the export window: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
**Note:** Not all formats support all features of ShapeScript models, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## Games and AR ShapeScript models are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use USD(Z) files with Apple's SceneKit and RealityKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in STL format, used by many 3D printing applications. Just use `stl` as the file extension when exporting your model for printing. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript uses the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the ShapeScript preferences to export models in this orientation. ## Image Formats In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ gif | Graphics Interchange Format | Yes png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No jpf / jp2 | JPEG 2000 | Yes tif / tiff | Tagged Image File Format | Yes bmp | Bitmap | No
If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. The size of the exported image defaults to the current window size and display resolution. You can override this size by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions): Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a ray tracing program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/1.6.1/ios/expressions.md000066400000000000000000000174631450355336000211400ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value % | modulo | Remainder of dividing the left value by the right value
Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison In addition to the standard arithmetic operators, ShapeScript also has equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else). The following infix comparison operators are supported: Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
**Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Boolean Algebra In addition to the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members There are currently no vector or matrix math operators such as dot product or vector addition, but these are mostly not needed in practice due to the [relative transform](transforms.md#relative-transforms) commands. It is however possible to use vector, size, rotation or [color](materials.md#color) values in expressions by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For strings, you can use the `lines`, `words` and `characters` members: ```swift define sentence "The quick brown fox" for word in sentence { print word // prints each word on a new line } ``` For [meshes](meshes.md) you can access the `name`, `bounds` and `polygons` members, and for [polygons](meshes.md#polygons-and-points) you can use `points` to access the individual vertices. For points you can access the `position` and `color`: ```swift define triangle polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Print the vertex colors for point in triangle.points { print "position: " point.position ", color: " point.color } ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/1.6.1/ios/functions.md000066400000000000000000000176141450355336000205640ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two or more values: ```swift min 2 4 // returns 2 min 5 0 -5.1 // returns -5.1 ``` The `max` function returns the higher of two or more values: ```swift max 2 4 // returns 4 max 5 0 -5.1 // returns 5 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry is ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript half-turn value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript half-turn value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :---------------------| :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to half-turns | halfturns = degrees / 180 Half-turns to degrees | degrees = halfturns * 180 Radians to half-turns | halfturns = degrees / pi Half-turns to radians | radians = halfturns * pi
Common values: Angle in degrees | Angle in radians | Angle in half-turns :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
## Strings ShapeScript includes a number of functions for manipulating strings. The `join` function concatenates two or more strings together, with an optional separator: ```swift define words "Hello" "World!" define greeting join words ", " print greeting // prints "Hello, World!" ``` If you don't want a delimiter, just pass an empty string as the second argument to join: ```swift define words "Hello" "World!" define greeting join(words "") print greeting // prints "HelloWorld!" ``` The `split` function breaks a string up into a tuple of substrings by splitting it at a specified delimiter: ```swift define input "comma,delimited,string" define elements split input "," print elements.second // prints "delimited" ``` The `trim` function removes any leading or trailing [white space](https://en.wikipedia.org/wiki/Whitespace_character) characters from a string: ```swift define input "comma, delimited , string,with ,spaces" define elements split input "," print elements.second // prints " delimited " print trim elements.second // prints just "delimited" without spaces ``` ## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/1.6.1/ios/getting-started.md000066400000000000000000000170471450355336000216610ustar00rootroot00000000000000Getting Started --- ShapeScript Viewer for iOS is designed for opening and exploring 3D models and scenes that use the ShapeScript `.shape` file format. If you do not have any existing ShapeScript files, you can create one using the `+` button. You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. ![New file modal](../../images/new-file-ios.png) After pressing OK you should see a new screen appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../../images/new-document-ios.png) ## Viewing Drag your finger inside the window and you will notice that the three objects appear to rotate. You are not actually moving the objects themselves, but rotating the camera around them. To return to the original orientaton, tap the camera icon in the top-right and select `Reset View`. To help you orient yourself, you can enable the `Show Axes` option in the camera menu, which displays the direction of the X, Y and Z axes. ![Show axes](../../images/show-axes-ios.png) For more information about navigating around the model, see [Camera Control](camera-control.md). ## Editing ShapeScript Viewer does not include an editor. To edit your `.shape` file you will need to open your `.shape` file in a separate text editor such as [Subtext](https://apps.apple.com/app/subtext/id1606625287) or [Runestone](https://apps.apple.com/app/runestone-text-editor/id1548193893). Once opened, the file should look something like this: ![Subtext editor](../../images/subtext-ios.png) ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. Subtext is free, but does not support syntax coloring or some of the other programmer-friendly features of more advanced editors. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Runestone) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. If you are using an iPad, you can use the [Split View](https://support.apple.com/en-gb/guide/ipad/ipad08c9970c/ipados) feature to show both ShapeScript Viewer and your text editor on screen simultaneously: ![Split View](../../images/split-view-ios.png) **Note:** Not all iOS text editors support *live editing* (where changes in the text are reflected automatically in ShapeScript as you make them). You may find you have to explicitly save or close the document in your editor for changes to take effect. ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. ShapeScript models are made out of flat polygons, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many polygons will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your models so that you avoid having to work with very large scales (thousands of units), or very small scales (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assume to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../../images/yellow-cube-ios.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../../images/error-screen-ios.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use undo feature in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection You can get information about your model (such as polygon count and overall dimensions) by tapping the info icon in the top-right corder of the screen. If a particular part of your model doesn't look right, you can tap to select it in the viewer, then get info on just the selected part. This will also tell you which line in the script file defines that component. ![Object info](../../images/object-info-ios.png) --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/1.6.1/ios/glossary.md000066400000000000000000000032301450355336000204040ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Half-turn | The unit used to specify angles or rotations in ShapeScript Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/1.6.1/ios/groups.md000066400000000000000000000025161450355336000200660ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs, etc. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [options](options.md) (material, detail, etc.) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the position of subsequent shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../../images/group.png) **Note:** Changes made to properties such as transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/1.6.1/ios/import.md000066400000000000000000000056301450355336000200610ustar00rootroot00000000000000Import --- ## Scripts ShapeScript files can get quite large for complicated models, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` Here we've used `import` to load an external ShapeScript file and evaluate it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Models The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. ## Text and Data In addition to scripts and standard model formats, text files can be imported as a [string](literals.md#strings) value. ```swift define data { import "Text.txt" } ``` Imported strings can then be displayed directly, or further processed using ShapeScript's [string functions](functions.md#strings): ```swift for line in text.lines { print (trim line) } ``` As well as plain text, ShapeScript also supports importing JSON files as [structured data](literals.md#structured-data): ```swift define data { import "Data.json" } ``` ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](examples.md) ShapeScript-1.6.14/docs/1.6.1/ios/index.md000066400000000000000000000150531450355336000176560ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Viewing](getting-started.md#viewing) - [Editing](getting-started.md#editing) - [File Structure](getting-started.md#file-structure) - [Next Steps](getting-started.md#next-steps) - [Debugging and Selection](getting-started.md#debugging-and-selection) - [Camera Control](camera-control.md) - [Camera Selection](camera-control.md#camera-selection) - [Mouse Control](camera-control.md#mouse-control) - [Trackpad Control](camera-control.md#trackpad-control) - [Copy Settings](camera-control.md#copy-settings) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Meshes](meshes.md) - [Polygons and Points](meshes.md#polygons-and-points) - [Watertightness](meshes.md#watertightness) - [Winding order](meshes.md#winding-order) - [Procedural Meshes](meshes.md#procedural-meshes) - [Concave and Non-planar Polygons](meshes.md#concave-and-non-planar-polygons) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Hull](builders.md#hull) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Groups](groups.md) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Block Comments](comments.md#block-comments) - [Nested Comments](comments.md#nested-comments) - [Literals](literals.md) - [Strings](literals.md#strings) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Trigonometry](functions.md#trigonometry) - [Strings](functions.md#strings) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Import](commands.md#import) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Scripts](import.md#scripts) - [Models](import.md#models) - [Text and Data](import.md#text-and-data) - [Dynamic Imports](import.md#dynamic-imports) - [Examples](examples.md) - [Ball](examples.md#ball) - [Chessboard](examples.md#chessboard) - [Cog](examples.md#cog) - [Earth](examples.md#earth) - [Spirals](examples.md#spirals) - [Spring](examples.md#spring) - [Train](examples.md#train) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.1/ios/lights.md000066400000000000000000000130111450355336000200310ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a model for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/1.6.1/ios/literals.md000066400000000000000000000135021450355336000203630ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a decimal literal false // a boolean literal "hello" // a string literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` ## Strings Strings are how human-readable text is represented in ShapeScript. These are used for a variety of purposes, including specifying file names for [imports](import.md) or [textures](materials.md#texture), [logging](debugging.md#logging) debug information to the console, or even rendering 3D text. String literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. If you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a string literal without a closing `"` is treated as an error, so if you need to include line-breaks in your string then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the string. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). A tuple of numeric values is also known as a *vector*. Vectors are used in ShapeScript to represent positions, colors, sizes and rotations. Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` You can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers. They can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, ... `last`) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.count // 3 print data.first // name print data.second // position print data.last // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` You can split up lists of data using the `allButFirst` and `allButLast` members: ```swift define data (1 2 3 4 5) print data.allButFirst // 2 3 4 5 print data.allButLast // 1 2 3 4 ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/1.6.1/ios/materials.md000066400000000000000000000223371450355336000205330ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using [string interpolation](text.md#interpolation), which is useful if you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` As with `color`, once a texture has been set it will be applied to all subsequent shapes defined in the same [scope](scope.md). To clear the current texture you can set it to an empty string: ```swift texture "" ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../../images/sandbox-error-ios.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is wrapped around the model depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../../images/textured-cube.png) ![Textured sphere](../../images/textured-sphere.png) ![Textured cylinder](../../images/textured-cylinder.png) ![Textured cone](../../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/1.6.1/ios/meshes.md000066400000000000000000000141021450355336000200250ustar00rootroot00000000000000Meshes --- While they may appear solid, the 3D shapes that ShapeScript produces are actually hollow shells composed of polygons. These polygon shells are known as [meshes](https://en.wikipedia.org/wiki/Polygon_mesh). ShapeScript provides many tools for constructing meshes, including [primitives](primitives.md), [builders](builders.md) and [CSG](csg.md) operations, but you can also create meshes manually by specifying each polygon yourself. While this is generally a tedious approach compared to the other tools, it affords you complete control over the mesh topology, and allows you to create arbitrary shapes that might be hard to achieve with higher-level tools. ## Polygons and Points A mesh is made up of one or more *polygons*, and each polygon is made up of three or more [vertices](https://en.wikipedia.org/wiki/Vertex_(geometry)) or *points*. To construct a mesh you use the `mesh`, `polygon` and `point` commands. The following code defines the simplest possible mesh - a single triangle: ```swift mesh { polygon { point 0 0 point 1 0 point 1 1 } } ``` ![Triangle](../../images/triangle-polygon.png) The `point` command accepts a [vector](literals.md#vectors-and-tuples) value. Polygons can be placed anywhere in three-dimensional space, so `point` accepts up to three values (for the X, Y and Z coordinates respectively). In this case we've just specified two values, so the Z coordinate defaults to zero. Manually constructed meshes do not currently support textures, but they inherit the current [material color](materials.md#color). Color can also be applied separately to individual vertices within a mesh. When vertices of a given polygon have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift mesh { polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } } ``` ![Colored triangle](../../images/colored-triangle.png) ## Watertightness If you rotate the triangle you will see that the back face is invisible. Most of the mesh-construction commands in ShapeScript produce shapes that are *watertight*, meaning that they do not contain any holes that would allow you to see the back faces of the polygon surface, but when you create a mesh using the `mesh` command it's up to you to ensure that the mesh you create is watertight. You can check this by selecting the mesh in the editor and [getting info](getting-started.md#debugging-and-selection). As you can see, our triangle is not watertight: ![Not watertight](../../images/not-watertight.png) Watertightness is an important quality when using [CSG](csg.md) operations, because the "solid" in Constructive Solid Geometry implies that shapes are expected to behave like solid objects (even though they are actually hollow), and holes or exposed back faces will cause glitches as ShapeScript is unable to determine whether a given point lies inside or outside the shape. To solve this, we can add another triangle with the same vertices but facing the opposite direction. But wait - we never specified the direction of the triangle face in the first place, so how does ShapeScript decide which way a polygon is facing? ## Winding order By convention, polygons in ShapeScript are assumed to be defined with [counterclockwise](https://en.wikipedia.org/wiki/Counterclockwise) (aka *anticlockwise*) winding. What that means is that when looking at the polygon from the front, the vertices will be ordered in counterclockwise direction. To add a back face we'll create a second triangle with the inverse vertex order: ```swift mesh { // Front polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Back polygon { point 1 1 point 1 0 point 0 0 } } ``` (We've left the back face white in this case, so you can tell which side is which). If you get info again you'll see that the triangle is now watertight: ## Procedural Meshes We've learned how to make a triangle, but what about something a bit more complex? For our next trick we're going to create a cube. A cube has six faces, each consisting of four vertices - 24 vertices in total. But in fact there are really only eight unique vertices, so rather than tediously typing out the same points over and over, maybe we can use the power of scripting to save ourselves some effort? First we'll define a [block](blocks.md) called "side" that creates a single side of the cube: ```swift define side { color rnd rnd rnd polygon { point -0.5 -0.5 0.5 point +0.5 -0.5 0.5 point +0.5 +0.5 0.5 point -0.5 +0.5 0.5 } } ``` Note that the `color rnd rnd rnd` - this will produce a different random color each time the block is called, making the cube a little more interesting to look at. Next we'll call `side` block six times from inside a `mesh`, passing a different orientation each time: ```swift mesh { side { orientation 0 } side { orientation 0 0.5 } side { orientation 0 1 } side { orientation 0 1.5 } side { orientation 0 0 0.5 } side { orientation 0 0 -0.5 } } ``` And voila! A colored cube: ![Cube mesh](../../images/cube-mesh.png) Obviously this is a lot more trouble than just using the [cube](primitives.md#cube) command, but hopefully you can see the potential for creating more interesting shapes. ## Concave and Non-planar Polygons In many 3D engines, meshes must be constructed exclusively from triangles. The reason for this is that by definition a triangle is always both [convex](https://en.wikipedia.org/wiki/Convex_polygon) and *planar*, meaning that all its vertices lie on the same plane, which simplifies the mathematics needed to [rasterize](https://en.wikipedia.org/wiki/Rasterisation) or render the mesh. ShapeScript places no such restrictions on the polygons that you define in your mesh. Non-planar or non-convex polygons will be automatically split into their constituent triangles as needed for [export](export.md) or display. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/1.6.1/ios/options.md000066400000000000000000000134241450355336000202420ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a texture value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name is not displayed in the app, and currently has no use within ShapeScript itself, however it can be useful for identifying distinct shape components when importing an exported ShapeScript model into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a model that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/1.6.1/ios/paths.md000066400000000000000000000176351450355336000176760ustar00rootroot00000000000000Paths --- A path is a sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a 3D model (except possibly for something like a thin rope or antenna), but they can be used to define the contours of a 3D mesh (see [builders](builders.md) for details). ## Points As with the [polygons](meshes.md#polygons-and-points) in a mesh, you define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be three-dimensional, so `point` accepts up to three coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of zero). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point must have the same position. The following path has four points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves in ShapeScript are created using [quadratic Béziers curves](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. Just as [3D meshes](meshes.md) are constructed from flat polygons, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift detail 99 path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../../images/octocircle.png) ## Circles There is actually an easier way to create a circular path, which is to use the `circle` command: ```swift circle ``` The result of calling `circle` is visually almost indistinguishable from the Bézier-based solution above (at a sufficiently high detail level), but you don't have to worry about calculating the positions of the control points. Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../../images/roundrect.png) ## Regular Polygons When used outside of a `mesh`, the `polygon` command can be used to create a regular polygon. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/1.6.1/ios/primitives.md000066400000000000000000000053361450355336000207450ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct simple models. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) and [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of polygons, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/1.6.1/ios/scope.md000066400000000000000000000035721450355336000176630ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines sub-objects in your model can use transforms and materials internally without the effects "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/1.6.1/ios/symbols.md000066400000000000000000000052541450355336000202410ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/1.6.1/ios/text.md000066400000000000000000000163701450355336000175360ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [string interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use string interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty string literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% text "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% text "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [string interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/1.6.1/ios/transforms.md000066400000000000000000000147101450355336000207440ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)). This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. For example the following code applies a pitch of 45 degrees followed by a roll of 80 degrees, which would be very difficult to express as a single `rotate` or `orientation` instruction due to the fixed roll-yaw-pitch order: ```swift rotate 0 0 0.25 // pitch 45 degrees rotate 0.4 0 0 // roll 80 degrees cube ``` --- [Index](index.md) | Next: [Bounds](bounds.md) ShapeScript-1.6.14/docs/1.6.1/mac/000077500000000000000000000000001450355336000161675ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.1/mac/blocks.md000066400000000000000000000047461450355336000200010ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/1.6.1/mac/bounds.md000066400000000000000000000056521450355336000200130ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needed to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Meshes](meshes.md) ShapeScript-1.6.14/docs/1.6.1/mac/builders.md000066400000000000000000000220431450355336000203230ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D model: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` ![Prism](../../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../../images/roundrect-extrusion.png) In the following example, we extrude a square cross-section along a 3D path: ```swift define shape path { orientation 0 0 -0.4 curve 0 1 0.75 curve -1 0 curve 0 -1 0.25 curve 1 0 curve 1 1 curve 0 1 0.75 } extrude { square { size 0.1 } along shape } ``` ![Tangential extrusion](../../images/tangential-extrusion.png) Note how the cross-section tilts as it follows the path. This can be a nice effect, but you might prefer that the cross section remains perpendicular to the world axes. To control this, you can use the `axisAligned` property: ```swift extrude { square { size 0.1 } along shape axisAligned true } ``` ![Axis-aligned extrusion](../../images/axis-aligned-extrusion.png) A value of `true` for `axisAligned` means the cross section will remain perpendicular to the path, which in some cases may cause the shape to look "pinched". A value of `false` means the cross-section is always aligned to the tangent of the path, which ensures consistent thickness at the cost of inconsistent orientation. If the `axisAligned` property is omitted, ShapeScript will try to choose an appropriate alignment for the path provided to `along`. To apply a twist along the length of an extruded shape, you can use the `twist` property: ```swift extrude { square twist 0.5 } ``` ![Twisted extrusion](../../images/twisted-extrusion.png) Twist uses the same [half-turn](transforms.md#orientation) units as the other rotation commands, so a twist of 0.5 equates to one quarter turn, or 90 degrees. Applying a twist will automatically increase the number of cross sections in proportion to the current [detail](options.md#detail) level to prevent distortion: ![Twisted extrusion wireframe](../../images/twisted-extrusion-wireframe.png) You can combine `twist` with the `along` property to twist a curved path: ```swift extrude { square { size 0.2 } along circle twist 2 } ``` ![Twisted circle](../../images/twisted-circle.png) **Note:** when extruding along a closed path, you should always use a multiple of `2` (i.e. a full rotation) for the `twist` value to avoid an ugly seam: ![Twisted circle seam](../../images/twisted-circle-seam.png) ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } translate 0 0 2 // triangle 2 path { for 0 to 3 { point 0 1 rotate 2 / 3 } } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../../images/loftshape.png) ## Hull The `hull` command works a bit like `loft`, in that it joins together multiple paths to form a solid surface. Here is the `loft` shape above, implemented using `hull`: ```swift hull { square translate 0 0 1 circle } ``` ![Hull shape](../../images/loftshape.png) So if `hull` and `loft` are the same, why have a separate command? The difference is that rather than joining sections together in a tube, `hull` forms a tight *skin* around the outside of all its child shapes, known as a [convex hull](https://en.wikipedia.org/wiki/Convex_hull). To illustrate the difference, here is the `hull` of a star shape, vs a `loft` of the same shape: ![Hull shape](../../images/hull-vs-loft.png) But the real power of the `hull` command is that it's not limited to operating on paths. Unlike the other builders, you can create a hull around meshes, paths, points, or any combination. For example, here is a hull formed from a cylinder and a point: ```swift hull { cylinder point 1 0 0 } ``` ![Hull shape](../../images/hull.png) This allows for a lot of interesting shapes that would be hard to create using the other commands. You might notice some odd stripes on the surface near the lip of the cylinder. As you may recall from the [detail](options.md#detail) section, curved surfaces in ShapeScript are actually formed from straight-edged polygons, with lighting used to make them appear smooth. When creating a hull from different shapes, the resultant [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) aren't always what you'd expect, which can result in lighting glitches like this. In some cases you can use the [smoothing](options.md#smoothing) command to smooth out these discrepancies, like so: ```swift smoothing 0.25 ``` ![Hull shape](../../images/smoothed-hull.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/1.6.1/mac/camera-control.md000066400000000000000000000037201450355336000214210ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled via a mouse or trackpad. The camera is not part of the file itself, and moving it will not change the file in any way. ## Camera Selection By default, the camera is positioned along the Z axis, looking down at the model. The distance of the camera from the origin is set automatically based on the bounding sphere of the model. You can choose a different camera angle from the `View > Camera` menu. [Custom cameras](cameras.md#custom-cameras) can be defined programatically. To reset the current camera to its default position, select the `View > Camera > Reset` menu, or press **Cmd-0** on the keyboard. ## Mouse Control **Note:** The instructions below assume the use of an Apple Magic Mouse. Controls for other mice may differ. Motion | Action :--------------------------- | :-------------------------- Rotate model | Hold the mouse button and drag Pan up/down/left/right | Either swipe the mouse surface with one finger, or hold Shift + mouse button and drag Zoom in and out | Hold Shift, then swipe up or down on the mouse surface with one finger
## Trackpad Control Motion | Action :--------------------------- | :-------------------------- Rotate model | Click and drag with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Either pinch, or hold Shift + swipe up or down with two fingers Roll | Pinch, then rotate fingers
## Copy Settings To copy the configuration for the current camera view, select `View > Copy Camera Settings`, or press **Cmd-Shift-C** on the keyboard. This will copy a snippet of ShapeScript code that you can paste into your `.shape` file to define a [custom camera](cameras.md#custom-cameras). --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/1.6.1/mac/cameras.md000066400000000000000000000123341450355336000201270ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your models from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../../images/custom-camera-menu.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#image-formats): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/1.6.1/mac/commands.md000066400000000000000000000145701450355336000203210ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the model, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#image-formats). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your model is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. ## Import The `import` command is used to import an external ShapeScript or 3D geometry file. For more details on how this is used, see the [import](import.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/1.6.1/mac/comments.md000066400000000000000000000032551450355336000203430ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a model. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. ## Block Comments Another way to disable a large chunk of code at once is to use a *block comment*. Block comments begin with `/*` and end with `*/`. Anything between these delimiters is considered part of the comment, even if they span multiple lines: ```swift /* // this code is disabled fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } */ ``` Block comments can also be useful if you want to place a comment in the middle of a line, for example: ```swift define a(b c d) { b /* + c */ + d } ``` Here we've excluded the `c` parameter from the result, however the code both before and after the comment is unaffected. ## Nested Comments Unlike some other languages, ShapeScript allows block comments to be nested inside each other. This is useful if you want to comment out some code that already contains comments: ```swift /* define foo { option bar 3 /* option baz 5 */ // return bar print bar } /* ``` --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/1.6.1/mac/control-flow.md000066400000000000000000000111131450355336000211330ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your model might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/1.6.1/mac/csg.md000066400000000000000000000075741450355336000173020ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The model on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../../images/group-vs-difference.png) The subtracted shape is removed from the resultant model, but leaves an impression in the object it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque model the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The model on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The model on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a model. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/1.6.1/mac/debugging.md000066400000000000000000000053001450355336000204420ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/1.6.1/mac/examples.md000066400000000000000000000035351450355336000203350ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../../images/earth.png) ## Spirals The Spirals example demonstrates using the [extrude](builders.md#extrude) command to create a spiral. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spirals](../../images/spirals.png) ## Spring The Spring example demonstrates how to use the [loft](builders.md#loft) command and a [for loop](control-flow.md#loops) to create a coiled spring shape. ![Spring](../../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.1/mac/export.md000066400000000000000000000125111450355336000200320ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D model, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript Mac App](https://apps.apple.com/app/id1441135869). Export is not available in the free ShapesScript Viewer for Mac and iOS.** To export your model, select the `File > Purchase Export Feature…` menu (**Cmd-Shift-E**) to unlock the export functionality. Once unlocked, this menu will change to `Export…`. **Note:** If the `Export…` menu is grayed-out, it is most likely because your model is still loading. Wait for the loading spinner in the top-left of the ShapeScript document window to finish before trying to export. ![Loading](../../images/loading.png) ## Export Formats ShapeScript can export your model in a variety of formats, selectable from the export window: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
**Note:** Not all formats support all features of ShapeScript models, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## Games and AR ShapeScript models are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use USD(Z) files with Apple's SceneKit and RealityKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in STL format, used by many 3D printing applications. Just use `stl` as the file extension when exporting your model for printing. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript uses the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the ShapeScript preferences to export models in this orientation. ## Image Formats In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ gif | Graphics Interchange Format | Yes png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No jpf / jp2 | JPEG 2000 | Yes tif / tiff | Tagged Image File Format | Yes bmp | Bitmap | No
If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. The size of the exported image defaults to the current window size and display resolution. You can override this size by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions): Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a ray tracing program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/1.6.1/mac/expressions.md000066400000000000000000000174631450355336000211060ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value % | modulo | Remainder of dividing the left value by the right value
Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison In addition to the standard arithmetic operators, ShapeScript also has equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else). The following infix comparison operators are supported: Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
**Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Boolean Algebra In addition to the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members There are currently no vector or matrix math operators such as dot product or vector addition, but these are mostly not needed in practice due to the [relative transform](transforms.md#relative-transforms) commands. It is however possible to use vector, size, rotation or [color](materials.md#color) values in expressions by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For strings, you can use the `lines`, `words` and `characters` members: ```swift define sentence "The quick brown fox" for word in sentence { print word // prints each word on a new line } ``` For [meshes](meshes.md) you can access the `name`, `bounds` and `polygons` members, and for [polygons](meshes.md#polygons-and-points) you can use `points` to access the individual vertices. For points you can access the `position` and `color`: ```swift define triangle polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Print the vertex colors for point in triangle.points { print "position: " point.position ", color: " point.color } ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/1.6.1/mac/functions.md000066400000000000000000000176141450355336000205320ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two or more values: ```swift min 2 4 // returns 2 min 5 0 -5.1 // returns -5.1 ``` The `max` function returns the higher of two or more values: ```swift max 2 4 // returns 4 max 5 0 -5.1 // returns 5 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry is ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript half-turn value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript half-turn value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :---------------------| :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to half-turns | halfturns = degrees / 180 Half-turns to degrees | degrees = halfturns * 180 Radians to half-turns | halfturns = degrees / pi Half-turns to radians | radians = halfturns * pi
Common values: Angle in degrees | Angle in radians | Angle in half-turns :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
## Strings ShapeScript includes a number of functions for manipulating strings. The `join` function concatenates two or more strings together, with an optional separator: ```swift define words "Hello" "World!" define greeting join words ", " print greeting // prints "Hello, World!" ``` If you don't want a delimiter, just pass an empty string as the second argument to join: ```swift define words "Hello" "World!" define greeting join(words "") print greeting // prints "HelloWorld!" ``` The `split` function breaks a string up into a tuple of substrings by splitting it at a specified delimiter: ```swift define input "comma,delimited,string" define elements split input "," print elements.second // prints "delimited" ``` The `trim` function removes any leading or trailing [white space](https://en.wikipedia.org/wiki/Whitespace_character) characters from a string: ```swift define input "comma, delimited , string,with ,spaces" define elements split input "," print elements.second // prints " delimited " print trim elements.second // prints just "delimited" without spaces ``` ## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/1.6.1/mac/getting-started.md000066400000000000000000000174651450355336000216330ustar00rootroot00000000000000Getting Started --- Start by creating a new ShapeScript document. You can do this by selecting `File > New` in the menu bar (or by pressing **Cmd-N** on the keyboard). You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. **Note:** If you cannot see the file prompt, check that it hasn't appeared *behind* this help window. The help window floats in front of all other windows and applications, so you may need to move it out of the way. You should see a new window appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../../images/new-document-mac.png) ## Viewing Drag your mouse cursor inside the window and you will notice that the three objects appear to rotate. You are not actually moving the objects themselves, but rotating the camera around them. To reset the view, select `View > Camera > Reset` or press **Cmd-0**. To help you orient yourself, you can use the `View > Show Axes` option, which displays the direction of the X, Y and Z axes. ![Show axes](../../images/show-axes-mac.png) For more information about navigating around the model, see [Camera Control](camera-control.md). ## Editing To edit the 3D model, select the `Edit > Open in Editor` menu or press **Cmd-E**. ShapeScript does not include an editor. Instead, the `Open in Editor` command will ask you to select an external text editor to use. If you do not have any other editors installed, the default option will probably be TextEdit. Once opened, the file should look something like this: ![TextEdit window](../../images/textedit-mac.png) ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. TextEdit will work, but is probably not the best choice as it does not support syntax coloring or any of the other programmer-friendly features of modern editors. If you have a more advanced editor such as [SubEthaEdit](https://subethaedit.net), [TextMate](https://macromates.com), [Sublime Text](https://www.sublimetext.com) or [Atom](https://atom.io) then it would be better to use one of these. An Integrated Development Environment (IDE) such as [Xcode](https://developer.apple.com/xcode/) is also a good option. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Xcode) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. ShapeScript will only ask you which editor you want to use the *first* time you edit a file, then it will remember your choice. If you change your mind later, you can select a different editor in Preferences (select the `ShapeScript > Preferences…` menu or press **Cmd-,**). ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. ShapeScript models are made out of flat polygons, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many polygons will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your models so that you avoid having to work with very large scales (thousands of units), or very small scales (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assume to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../../images/yellow-cube-mac.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../../images/error-screen-mac.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use the `Edit > Undo` menu in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection You can get information about your model (such as polygon count and overall dimensions) by selecting `View > Model Info` (**Cmd-I**) in the menu bar. If a particular part of your model doesn't look right, you can click to select it in the viewing window, and then use `View > Model Info` (**Cmd-I**) to get info on just the selected part. This will also tell you which line in the script file defines that component. ![Object info](../../images/object-info-mac.png) --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/1.6.1/mac/glossary.md000066400000000000000000000032301450355336000203520ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Half-turn | The unit used to specify angles or rotations in ShapeScript Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/1.6.1/mac/groups.md000066400000000000000000000025161450355336000200340ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs, etc. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [options](options.md) (material, detail, etc.) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the position of subsequent shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../../images/group.png) **Note:** Changes made to properties such as transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/1.6.1/mac/import.md000066400000000000000000000056261450355336000200340ustar00rootroot00000000000000Import --- ## Scripts ShapeScript files can get quite large for complicated models, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` Here we've used `import` to load an external ShapeScript file and evaluate it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Models The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. ## Text and Data In addition to scripts and standard model formats, text files can be imported as a [string](literals.md#strings) value. ```swift define data { import "Text.txt" } ``` Imported strings can then be displayed directly, or further processed using ShapeScript's [string functions](functions.md#strings): ```swift for line in text.lines { print (trim line) } ``` As well as plain text, ShapeScript also supports importing JSON files as [structured data](literals.md#structured-data): ```swift define data { import "Data.json" } ``` ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](export.md) ShapeScript-1.6.14/docs/1.6.1/mac/index.md000066400000000000000000000153711450355336000176270ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Viewing](getting-started.md#viewing) - [Editing](getting-started.md#editing) - [File Structure](getting-started.md#file-structure) - [Next Steps](getting-started.md#next-steps) - [Debugging and Selection](getting-started.md#debugging-and-selection) - [Camera Control](camera-control.md) - [Camera Selection](camera-control.md#camera-selection) - [Mouse Control](camera-control.md#mouse-control) - [Trackpad Control](camera-control.md#trackpad-control) - [Copy Settings](camera-control.md#copy-settings) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Meshes](meshes.md) - [Polygons and Points](meshes.md#polygons-and-points) - [Watertightness](meshes.md#watertightness) - [Winding order](meshes.md#winding-order) - [Procedural Meshes](meshes.md#procedural-meshes) - [Concave and Non-planar Polygons](meshes.md#concave-and-non-planar-polygons) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Hull](builders.md#hull) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Groups](groups.md) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Block Comments](comments.md#block-comments) - [Nested Comments](comments.md#nested-comments) - [Literals](literals.md) - [Strings](literals.md#strings) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Trigonometry](functions.md#trigonometry) - [Strings](functions.md#strings) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Import](commands.md#import) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Scripts](import.md#scripts) - [Models](import.md#models) - [Text and Data](import.md#text-and-data) - [Dynamic Imports](import.md#dynamic-imports) - [Export](export.md) - [Export Formats](export.md#export-formats) - [Games and AR](export.md#games-and-ar) - [3D Printing](export.md#3d-printing) - [Image Formats](export.md#image-formats) - [Examples](examples.md) - [Ball](examples.md#ball) - [Chessboard](examples.md#chessboard) - [Cog](examples.md#cog) - [Earth](examples.md#earth) - [Spirals](examples.md#spirals) - [Spring](examples.md#spring) - [Train](examples.md#train) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.1/mac/lights.md000066400000000000000000000130111450355336000177770ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a model for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/1.6.1/mac/literals.md000066400000000000000000000135021450355336000203310ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a decimal literal false // a boolean literal "hello" // a string literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` ## Strings Strings are how human-readable text is represented in ShapeScript. These are used for a variety of purposes, including specifying file names for [imports](import.md) or [textures](materials.md#texture), [logging](debugging.md#logging) debug information to the console, or even rendering 3D text. String literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. If you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a string literal without a closing `"` is treated as an error, so if you need to include line-breaks in your string then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the string. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). A tuple of numeric values is also known as a *vector*. Vectors are used in ShapeScript to represent positions, colors, sizes and rotations. Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` You can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers. They can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, ... `last`) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.count // 3 print data.first // name print data.second // position print data.last // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` You can split up lists of data using the `allButFirst` and `allButLast` members: ```swift define data (1 2 3 4 5) print data.allButFirst // 2 3 4 5 print data.allButLast // 1 2 3 4 ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/1.6.1/mac/materials.md000066400000000000000000000223331450355336000204750ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using [string interpolation](text.md#interpolation), which is useful if you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` As with `color`, once a texture has been set it will be applied to all subsequent shapes defined in the same [scope](scope.md). To clear the current texture you can set it to an empty string: ```swift texture "" ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../../images/sandbox-error.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is wrapped around the model depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../../images/textured-cube.png) ![Textured sphere](../../images/textured-sphere.png) ![Textured cylinder](../../images/textured-cylinder.png) ![Textured cone](../../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/1.6.1/mac/meshes.md000066400000000000000000000141021450355336000177730ustar00rootroot00000000000000Meshes --- While they may appear solid, the 3D shapes that ShapeScript produces are actually hollow shells composed of polygons. These polygon shells are known as [meshes](https://en.wikipedia.org/wiki/Polygon_mesh). ShapeScript provides many tools for constructing meshes, including [primitives](primitives.md), [builders](builders.md) and [CSG](csg.md) operations, but you can also create meshes manually by specifying each polygon yourself. While this is generally a tedious approach compared to the other tools, it affords you complete control over the mesh topology, and allows you to create arbitrary shapes that might be hard to achieve with higher-level tools. ## Polygons and Points A mesh is made up of one or more *polygons*, and each polygon is made up of three or more [vertices](https://en.wikipedia.org/wiki/Vertex_(geometry)) or *points*. To construct a mesh you use the `mesh`, `polygon` and `point` commands. The following code defines the simplest possible mesh - a single triangle: ```swift mesh { polygon { point 0 0 point 1 0 point 1 1 } } ``` ![Triangle](../../images/triangle-polygon.png) The `point` command accepts a [vector](literals.md#vectors-and-tuples) value. Polygons can be placed anywhere in three-dimensional space, so `point` accepts up to three values (for the X, Y and Z coordinates respectively). In this case we've just specified two values, so the Z coordinate defaults to zero. Manually constructed meshes do not currently support textures, but they inherit the current [material color](materials.md#color). Color can also be applied separately to individual vertices within a mesh. When vertices of a given polygon have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift mesh { polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } } ``` ![Colored triangle](../../images/colored-triangle.png) ## Watertightness If you rotate the triangle you will see that the back face is invisible. Most of the mesh-construction commands in ShapeScript produce shapes that are *watertight*, meaning that they do not contain any holes that would allow you to see the back faces of the polygon surface, but when you create a mesh using the `mesh` command it's up to you to ensure that the mesh you create is watertight. You can check this by selecting the mesh in the editor and [getting info](getting-started.md#debugging-and-selection). As you can see, our triangle is not watertight: ![Not watertight](../../images/not-watertight.png) Watertightness is an important quality when using [CSG](csg.md) operations, because the "solid" in Constructive Solid Geometry implies that shapes are expected to behave like solid objects (even though they are actually hollow), and holes or exposed back faces will cause glitches as ShapeScript is unable to determine whether a given point lies inside or outside the shape. To solve this, we can add another triangle with the same vertices but facing the opposite direction. But wait - we never specified the direction of the triangle face in the first place, so how does ShapeScript decide which way a polygon is facing? ## Winding order By convention, polygons in ShapeScript are assumed to be defined with [counterclockwise](https://en.wikipedia.org/wiki/Counterclockwise) (aka *anticlockwise*) winding. What that means is that when looking at the polygon from the front, the vertices will be ordered in counterclockwise direction. To add a back face we'll create a second triangle with the inverse vertex order: ```swift mesh { // Front polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Back polygon { point 1 1 point 1 0 point 0 0 } } ``` (We've left the back face white in this case, so you can tell which side is which). If you get info again you'll see that the triangle is now watertight: ## Procedural Meshes We've learned how to make a triangle, but what about something a bit more complex? For our next trick we're going to create a cube. A cube has six faces, each consisting of four vertices - 24 vertices in total. But in fact there are really only eight unique vertices, so rather than tediously typing out the same points over and over, maybe we can use the power of scripting to save ourselves some effort? First we'll define a [block](blocks.md) called "side" that creates a single side of the cube: ```swift define side { color rnd rnd rnd polygon { point -0.5 -0.5 0.5 point +0.5 -0.5 0.5 point +0.5 +0.5 0.5 point -0.5 +0.5 0.5 } } ``` Note that the `color rnd rnd rnd` - this will produce a different random color each time the block is called, making the cube a little more interesting to look at. Next we'll call `side` block six times from inside a `mesh`, passing a different orientation each time: ```swift mesh { side { orientation 0 } side { orientation 0 0.5 } side { orientation 0 1 } side { orientation 0 1.5 } side { orientation 0 0 0.5 } side { orientation 0 0 -0.5 } } ``` And voila! A colored cube: ![Cube mesh](../../images/cube-mesh.png) Obviously this is a lot more trouble than just using the [cube](primitives.md#cube) command, but hopefully you can see the potential for creating more interesting shapes. ## Concave and Non-planar Polygons In many 3D engines, meshes must be constructed exclusively from triangles. The reason for this is that by definition a triangle is always both [convex](https://en.wikipedia.org/wiki/Convex_polygon) and *planar*, meaning that all its vertices lie on the same plane, which simplifies the mathematics needed to [rasterize](https://en.wikipedia.org/wiki/Rasterisation) or render the mesh. ShapeScript places no such restrictions on the polygons that you define in your mesh. Non-planar or non-convex polygons will be automatically split into their constituent triangles as needed for [export](export.md) or display. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/1.6.1/mac/options.md000066400000000000000000000134241450355336000202100ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a texture value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name is not displayed in the app, and currently has no use within ShapeScript itself, however it can be useful for identifying distinct shape components when importing an exported ShapeScript model into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a model that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/1.6.1/mac/paths.md000066400000000000000000000176351450355336000176440ustar00rootroot00000000000000Paths --- A path is a sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a 3D model (except possibly for something like a thin rope or antenna), but they can be used to define the contours of a 3D mesh (see [builders](builders.md) for details). ## Points As with the [polygons](meshes.md#polygons-and-points) in a mesh, you define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be three-dimensional, so `point` accepts up to three coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of zero). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point must have the same position. The following path has four points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves in ShapeScript are created using [quadratic Béziers curves](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. Just as [3D meshes](meshes.md) are constructed from flat polygons, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift detail 99 path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../../images/octocircle.png) ## Circles There is actually an easier way to create a circular path, which is to use the `circle` command: ```swift circle ``` The result of calling `circle` is visually almost indistinguishable from the Bézier-based solution above (at a sufficiently high detail level), but you don't have to worry about calculating the positions of the control points. Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../../images/roundrect.png) ## Regular Polygons When used outside of a `mesh`, the `polygon` command can be used to create a regular polygon. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/1.6.1/mac/primitives.md000066400000000000000000000053361450355336000207130ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct simple models. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) and [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of polygons, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/1.6.1/mac/scope.md000066400000000000000000000035721450355336000176310ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines sub-objects in your model can use transforms and materials internally without the effects "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/1.6.1/mac/symbols.md000066400000000000000000000052541450355336000202070ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/1.6.1/mac/text.md000066400000000000000000000163701450355336000175040ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [string interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use string interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty string literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% text "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% text "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [string interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/1.6.1/mac/transforms.md000066400000000000000000000147101450355336000207120ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)). This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. For example the following code applies a pitch of 45 degrees followed by a roll of 80 degrees, which would be very difficult to express as a single `rotate` or `orientation` instruction due to the fixed roll-yaw-pitch order: ```swift rotate 0 0 0.25 // pitch 45 degrees rotate 0.4 0 0 // roll 80 degrees cube ``` --- [Index](index.md) | Next: [Bounds](bounds.md) ShapeScript-1.6.14/docs/1.6.100000777000000000000000000000000014503553360001602121.6.7ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.110000777000000000000000000000000014503553360001602221.6.7ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.12/000077500000000000000000000000001450355336000155115ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.12/ios/000077500000000000000000000000001450355336000163035ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.12/ios/blocks.md000066400000000000000000000047461450355336000201150ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/1.6.12/ios/bounds.md000066400000000000000000000056521450355336000201270ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needed to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Meshes](meshes.md) ShapeScript-1.6.14/docs/1.6.12/ios/builders.md000066400000000000000000000215161450355336000204430ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D shape: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units polygon { sides 3 } } ``` ![Prism](../../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../../images/roundrect-extrusion.png) In the following example, we extrude a square cross-section along a 3D path: ```swift define shape path { orientation 0 0 -0.4 curve 0 1 0.75 curve -1 0 curve 0 -1 0.25 curve 1 0 curve 1 1 curve 0 1 0.75 } extrude { square { size 0.1 } along shape } ``` ![Tangential extrusion](../../images/tangential-extrusion.png) Note how the cross-section tilts as it follows the path. This can be a nice effect, but you might prefer that the cross section remains perpendicular to the world axes. To control this, you can use the `axisAligned` property: ```swift extrude { square { size 0.1 } along shape axisAligned true } ``` ![Axis-aligned extrusion](../../images/axis-aligned-extrusion.png) A value of `true` for `axisAligned` means the cross section will remain perpendicular to the path, which in some cases may cause the shape to look "pinched". A value of `false` means the cross-section is always aligned to the tangent of the path, which ensures consistent thickness at the cost of inconsistent orientation. If the `axisAligned` property is omitted, ShapeScript will try to choose an appropriate alignment for the path provided to `along`. To apply a twist along the length of an extruded shape, you can use the `twist` property: ```swift extrude { square twist 0.5 } ``` ![Twisted extrusion](../../images/twisted-extrusion.png) Twist uses the same [half-turn](transforms.md#orientation) units as the other rotation commands, so a twist of 0.5 equates to one quarter turn, or 90 degrees. Applying a twist will automatically increase the number of cross sections in proportion to the current [detail](options.md#detail) level to prevent distortion: ![Twisted extrusion wireframe](../../images/twisted-extrusion-wireframe.png) You can combine `twist` with the `along` property to twist a curved path: ```swift extrude { square { size 0.2 } along circle twist 2 } ``` ![Twisted circle](../../images/twisted-circle.png) **Note:** when extruding along a closed path, you should always use a multiple of `2` (i.e. a full rotation) for the `twist` value to avoid an ugly seam: ![Twisted circle seam](../../images/twisted-circle-seam.png) ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 polygon { sides 3 } translate 0 0 2 // triangle 2 polygon { sides 3 } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../../images/loftshape.png) ## Hull The `hull` command works a bit like `loft`, in that it joins together multiple paths to form a solid surface. Here is the `loft` shape above, implemented using `hull`: ```swift hull { square translate 0 0 1 circle } ``` ![Hull shape](../../images/loftshape.png) So if `hull` and `loft` are the same, why have a separate command? The difference is that rather than joining sections together in a tube, `hull` forms a tight *skin* around the outside of all its child shapes, known as a [convex hull](https://en.wikipedia.org/wiki/Convex_hull). To illustrate the difference, here is the `hull` of a star shape, vs a `loft` of the same shape: ![Hull shape](../../images/hull-vs-loft.png) But the real power of the `hull` command is that it's not limited to operating on paths. Unlike the other builders, you can create a hull around meshes, paths, points, or any combination. For example, here is a hull formed from a cylinder and a point: ```swift hull { cylinder point 1 0 0 } ``` ![Hull shape](../../images/hull.png) This allows for a lot of interesting shapes that would be hard to create using the other commands. You might notice some odd stripes on the surface near the lip of the cylinder. As you may recall from the [detail](options.md#detail) section, curved surfaces in ShapeScript are actually formed from straight-edged polygons, with lighting used to make them appear smooth. When creating a hull from different shapes, the resultant [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) aren't always what you'd expect, which can result in lighting glitches like this. In some cases you can use the [smoothing](options.md#smoothing) command to smooth out these discrepancies, like so: ```swift smoothing 0.25 ``` ![Hull shape](../../images/smoothed-hull.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/1.6.12/ios/camera-control.md000066400000000000000000000031351450355336000215350ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled either programmatically or via touch gestures. ## Camera Selection The camera defaults to "Front" view, which is positioned along the Z axis, looking forward towards the scene. The distance of the camera from the origin is set automatically based on volume occupied by the shapes in the scene. You can choose a different camera angle from the camera menu in the top right of the screen. [Custom cameras](cameras.md#custom-cameras) can be defined programatically. ShapeScript will remember the last selected camera for each shape file. To temporarily change the camera position, you can alter the view using touch gestures (see below). To reset the current camera back to its original position, select `Reset View`. ## Touch Controls Motion | Action :--------------------------- | :-------------------------- Rotate scene | Swipe with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Pinch Roll | Pinch, then rotate fingers ## Copy Settings It can be difficult to visualize the effect that a given position or orientation will have when defining a [custom camera](cameras.md#custom-cameras). A good solution is to use touch gestures to position the camera, then select `Copy Settings` from the camera menu. This copies a snippet of ShapeScript code which you can then paste into your `.shape` file to create the custom camera. --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/1.6.12/ios/cameras.md000066400000000000000000000123451450355336000202450ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your scene from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../../images/custom-camera-menu-ios-1.6.4.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#image-formats): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/1.6.12/ios/commands.md000066400000000000000000000145701450355336000204350ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the shape, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#image-formats). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your scene is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. ## Import The `import` command is used to import an external ShapeScript or 3D geometry file. For more details on how this is used, see the [import](import.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/1.6.12/ios/comments.md000066400000000000000000000036061450355336000204570ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a scene. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. ## Block Comments Another way to disable a large chunk of code at once is to use a *block comment*. Block comments begin with `/*` and end with `*/`. Anything between these delimiters is considered part of the comment, even if they span multiple lines: ```swift /* // this code is disabled fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } */ ``` Block comments can also be useful if you want to place a comment in the middle of a line, for example: ```swift define a(b c d) { b /* + c */ + d } ``` Here we've excluded the `c` parameter from the result, however the code both before and after the comment is unaffected. ## Nested Comments Unlike some other languages, ShapeScript allows block comments to be nested inside each other. This is useful if you want to comment out some code that already contains comments: ```swift /* define foo { option bar 3 /* option baz 5 */ // return bar print bar } */ ``` **Note:** although nested comments are supported by ShapeScript itself, they may confuse the syntax highlighting in whichever editor you are using. Don't be alarmed if part of the comment appears in the wrong color. --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/1.6.12/ios/control-flow.md000066400000000000000000000111131450355336000212470ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your scene might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/1.6.12/ios/csg.md000066400000000000000000000075621450355336000174130ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The shape on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../../images/group-vs-difference.png) The subtracted shape is removed from the result, but leaves an impression in the shape it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque shape the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The shape on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The shape on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a shape. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/1.6.12/ios/debugging.md000066400000000000000000000053001450355336000205560ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/1.6.12/ios/examples.md000066400000000000000000000042501450355336000204440ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../../images/earth.png) ## Icosahedron The Icosahedron demonstrates the use of the [mesh command](meshes.md) along with [structured data](literals.md#structured-data) and [custom functions](functions.md#custom-functions) to create a complex shape that cannot easily be derived from the built-in primitives. ![Icosahedron](../../images/icosahedron.png) ## Spirals The Spirals example demonstrates using the [extrude](builders.md#extrude) command to create a spiral. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spirals](../../images/spirals.png) ## Spring The Spring example demonstrates how to use the [loft](builders.md#loft) command and a [for loop](control-flow.md#loops) to create a coiled spring shape. ![Spring](../../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.12/ios/export.md000066400000000000000000000122731450355336000201530ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D scene, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript iOS App](https://apps.apple.com/app/id1606439346). Export is not available in the free ShapesScript Viewer.** To export your scene, select the export menu in the top-right of the window to unlock the export functionality. Once unlocked, this menu will display the export options. **Note:** If the `Export Image/Model` menu is grayed-out, it is most likely because your scene is still loading. Wait for the loading spinner in the top-left of the ShapeScript window to finish before trying to export. ![Loading](../../images/loading-ios.png) ## Export Formats ShapeScript can export your scene in a variety of model file formats, selectable from the export menu: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
**Note:** Not all formats support all features of ShapeScript scenes, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## Games and AR Models exported from ShapeScript are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use USD(Z) files with Apple's SceneKit and RealityKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in Stereolithography (STL) format, used by many 3D printing applications. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript scenes use the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the export menu to export your model in this orientation. ## Image Formats In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No
If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. ## Image Options The size of the exported image defaults to the current window size at the current display resolution. You can override this size in your script file by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions), or by tapping on the size label in the export menu and selecting a different size: ![Export size](../../images/export-size-ios.png) Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a [ray tracing](https://en.wikipedia.org/wiki/Ray_tracing_(graphics)) program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/1.6.12/ios/expressions.md000066400000000000000000000214671450355336000212210ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value % | modulo | Remainder of dividing the left value by the right value
Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison ShapeScript includes the following equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else): Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
**Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Linear Algebra As well as operating on individual numbers, some operators can be used with [vectors or tuples](literals.md#vectors-and-tuples). To multiply or divide a tuple of numbers by a scalar value you can use: ```swift define numbers (1 2 3 -4) print numbers * 2 // prints 2 4 6 -8 ``` You can also multiply two tuples: ```swift define left (1 2 3) define right (1 -2 3) print left * right // prints 1 -4 9 ``` Note that is a simple member-wise multiplication of the numbers. For other types of vector multiplication such as the dot or cross product see the [functions section](functions.md#linear-algebra). If the tuples have different lengths, the result will be truncated to the shorter of the two: ```swift define left (1 2 3) define right (1 -2) print left * right // prints 1 -4 ``` You can also add or subtract two lists of numbers together: ```swift define left (1 2 3) define right (1 -2 3) print left + right // prints 2 0 6 ``` Unlike with multiplication or division, adding or subtracting a shorter tuple from a longer one will preserve the length of the left side: ```swift define left (1 2 3) define right (1 -2) print left + right // prints 2 0 3 ``` Adding a longer tuple to a shorter one will not widen the result however: ```swift define left (1 2 3) define right (1 -2 3 4) print left + right // prints 2 0 3 ``` ## Boolean Algebra Along with the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members Compound values like [vectors and tuples](literals.md#vectors-and-tuples) can be decomposed by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For strings, you can use the `lines`, `words` and `characters` members: ```swift define sentence "The quick brown fox" for word in sentence { print word // prints each word on a new line } ``` For [meshes](meshes.md) you can access the `name`, `bounds` and `polygons` members, and for [polygons](meshes.md#polygons-and-points) you can use `points` to access the individual vertices. For points you can access the `position` and `color`: ```swift define triangle polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Print the vertex colors for point in triangle.points { print "position: " point.position ", color: " point.color } ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/1.6.12/ios/functions.md000066400000000000000000000220231450355336000206340ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sign` function (not to be confused with [sin](#trigonometry)) returns `1`, `-1` or `0` depending on the sign of the input: ```swift sign 4.5 // returns 1 sign -51 // returns -1 sign 0 // returns 0 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two or more values: ```swift min 2 4 // returns 2 min 5 0 -5.1 // returns -5.1 ``` The `max` function returns the higher of two or more values: ```swift max 2 4 // returns 4 max 5 0 -5.1 // returns 5 ``` ## Linear Algebra ShapeScript also includes functions for operating on [vectors](literals.md#vectors-and-tuples): The `dot` function is used to calculate the [dot product](https://en.wikipedia.org/wiki/Dot_product) of a pair of vectors: ```swift define up (0 1) define right (1 0) print dot(up right) // returns 0 ``` The `cross` function calculates the [cross product](https://en.wikipedia.org/wiki/Cross_product): ```swift define up (0 1) define right (1 0) print cross(up right) // returns 0 0 -1 ``` The `length` function calculates the magnitude of a vector (also known as the [norm](https://en.wikipedia.org/wiki/Euclidean_space#Euclidean_norm)): ```swift define v (3 4) print length(v) // returns 5 ``` The `normalize` function computes a [unit vector](https://en.wikipedia.org/wiki/Unit_vector) from an arbitrary vector by dividing each element by the vector length: ```swift define v (3 4) print normalize(v) // returns 0.6 0.8 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry in ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript half-turn value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript half-turn value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :---------------------| :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to half-turns | halfturns = degrees / 180 Half-turns to degrees | degrees = halfturns * 180 Radians to half-turns | halfturns = degrees / pi Half-turns to radians | radians = halfturns * pi
Common values: Angle in degrees | Angle in radians | Angle in half-turns :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
## Strings ShapeScript includes a number of functions for manipulating strings. The `join` function concatenates two or more strings together, with an optional separator: ```swift define words "Hello" "World!" define greeting join words ", " print greeting // prints "Hello, World!" ``` If you don't want a delimiter, just pass an empty string as the second argument to join: ```swift define words "Hello" "World!" define greeting join(words "") print greeting // prints "HelloWorld!" ``` The `split` function breaks a string up into a tuple of substrings by splitting it at a specified delimiter: ```swift define input "comma,delimited,string" define elements split input "," print elements.second // prints "delimited" ``` The `trim` function removes any leading or trailing [white space](https://en.wikipedia.org/wiki/Whitespace_character) characters from a string: ```swift define input "comma, delimited , string,with ,spaces" define elements split input "," print elements.second // prints " delimited " print trim elements.second // prints just "delimited" without spaces ``` ## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/1.6.12/ios/getting-started.md000066400000000000000000000177401450355336000217430ustar00rootroot00000000000000Getting Started --- ShapeScript Viewer for iOS is designed for opening and editing 3D models and scenes that use the ShapeScript `.shape` file format. If you do not have any existing ShapeScript files, you can create one using the `+` button. You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. ![New file modal](../../images/new-file-ios.png) After pressing OK you should see a new screen appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../../images/new-document-ios-1.6.4.png) ## Viewing Drag your finger inside the window and you will notice that the three shapes appear to rotate. You are not actually moving the shapes themselves, but rotating the camera around them. To return to the original orientation, tap the camera icon in the top-right and select `Reset View`. To help you orient yourself, you can enable the `Show Axes` option in the camera menu, which displays the direction of the X, Y and Z axes. ![Show axes](../../images/show-axes-ios-1.6.4.png) For more information about navigating around the scene, see [Camera Control](camera-control.md). ## Editing To edit your `.shape` file, tap the pencil icon in the top-right of the screen. This will open the file inside the integrated source editor: ![Integrated source editor](../../images/source-editor-ios.png) Changes made to the model in the source editor will be reflected immediately in the scene (although you may need to close the source view to see them!). In addition to the built-in editor, ShapeScript also supports the use of external text editors such as [Runestone](https://apps.apple.com/app/runestone-text-editor/id1548193893) or [Subtext](https://apps.apple.com/app/subtext/id1606625287). ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Runestone) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. If you are using an iPad, you can use the [Split View](https://support.apple.com/en-gb/guide/ipad/ipad08c9970c/ipados) feature to show both ShapeScript Viewer and your text editor app on screen simultaneously: ![Split View](../../images/split-view-ios-1.6.4.png) **Note:** Not all iOS text editors support *live editing* (where changes in the text are reflected automatically in ShapeScript as you make them). You may find you have to explicitly save or close the document in your editor for changes to take effect. External editors may also not immediately pick up changes you make using the built-in source editor, so be careful when switching between them. ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. The shapes are made out of flat polygons, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many polygons will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your scene so that you avoid having to work with very large numbers (thousands of units), or very small ones (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assumed to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../../images/yellow-cube-ios-1.6.4.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../../images/error-screen-ios-1.6.4.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use undo feature in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection To get information about your scene (such as polygon count and overall dimensions), tap the info button in the top-right corder of the screen. To get info about a particular shape in the scene, tap on it in the viewer to select it then press the info button. This will also tell you which line in the `.shape` file defines that component. Tap outside of the shape to deselect it again. ![Object info](../../images/object-info-ios-1.6.4.png) **Note:** If you are having trouble identifying a particular shape from your `.shape` file, you can use the [debug command](debugging.md) to highlight it in the viewer. --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/1.6.12/ios/glossary.md000066400000000000000000000032301450355336000204660ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Half-turn | The unit used to specify angles or rotations in ShapeScript Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/1.6.12/ios/groups.md000066400000000000000000000025161450355336000201500ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs, etc. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [options](options.md) (material, detail, etc.) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the position of subsequent shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../../images/group.png) **Note:** Changes made to properties such as transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/1.6.12/ios/import.md000066400000000000000000000056301450355336000201430ustar00rootroot00000000000000Import --- ## Scripts ShapeScript files can get quite large for complicated scenes, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` Here we've used `import` to load an external ShapeScript file and evaluate it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Models The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. ## Text and Data In addition to scripts and standard model formats, text files can be imported as a [string](literals.md#strings) value. ```swift define text { import "Text.txt" } ``` Imported strings can then be displayed directly, or further processed using ShapeScript's [string functions](functions.md#strings): ```swift for line in text.lines { print (trim line) } ``` As well as plain text, ShapeScript also supports importing JSON files as [structured data](literals.md#structured-data): ```swift define data { import "Data.json" } ``` ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](examples.md) ShapeScript-1.6.14/docs/1.6.12/ios/index.md000066400000000000000000000157471450355336000177520ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Viewing](getting-started.md#viewing) - [Editing](getting-started.md#editing) - [File Structure](getting-started.md#file-structure) - [Next Steps](getting-started.md#next-steps) - [Debugging and Selection](getting-started.md#debugging-and-selection) - [Camera Control](camera-control.md) - [Camera Selection](camera-control.md#camera-selection) - [Mouse Control](camera-control.md#mouse-control) - [Trackpad Control](camera-control.md#trackpad-control) - [Copy Settings](camera-control.md#copy-settings) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Meshes](meshes.md) - [Polygons and Points](meshes.md#polygons-and-points) - [Watertightness](meshes.md#watertightness) - [Winding order](meshes.md#winding-order) - [Procedural Meshes](meshes.md#procedural-meshes) - [Concave and Non-planar Polygons](meshes.md#concave-and-non-planar-polygons) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Arcs](paths.md#arcs) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Hull](builders.md#hull) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Groups](groups.md) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Block Comments](comments.md#block-comments) - [Nested Comments](comments.md#nested-comments) - [Literals](literals.md) - [Strings](literals.md#strings) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Linear Algebra](expressions.md#linear-algebra) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Linear Algebra](functions.md#linear-algebra) - [Trigonometry](functions.md#trigonometry) - [Strings](functions.md#strings) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Import](commands.md#import) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Scripts](import.md#scripts) - [Models](import.md#models) - [Text and Data](import.md#text-and-data) - [Dynamic Imports](import.md#dynamic-imports) - [Export](export.md) - [Export Formats](export.md#export-formats) - [Games and AR](export.md#games-and-ar) - [3D Printing](export.md#3d-printing) - [Image Formats](export.md#image-formats) - [Image Options](export.md#image-options) - [Examples](examples.md) - [Ball](examples.md#ball) - [Chessboard](examples.md#chessboard) - [Cog](examples.md#cog) - [Earth](examples.md#earth) - [Icosahedron](examples.md#icosahedron) - [Spirals](examples.md#spirals) - [Spring](examples.md#spring) - [Train](examples.md#train) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.12/ios/lights.md000066400000000000000000000130111450355336000201130ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a scene for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/1.6.12/ios/literals.md000066400000000000000000000135021450355336000204450ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a decimal literal false // a boolean literal "hello" // a string literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` ## Strings Strings are how human-readable text is represented in ShapeScript. These are used for a variety of purposes, including specifying file names for [imports](import.md) or [textures](materials.md#texture), [logging](debugging.md#logging) debug information to the console, or even rendering 3D text. String literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. If you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a string literal without a closing `"` is treated as an error, so if you need to include line-breaks in your string then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the string. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). A tuple of numeric values is also known as a *vector*. Vectors are used in ShapeScript to represent positions, colors, sizes and rotations. Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` You can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers. They can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, ... `last`) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.count // 3 print data.first // name print data.second // position print data.last // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` You can split up lists of data using the `allButFirst` and `allButLast` members: ```swift define data (1 2 3 4 5) print data.allButFirst // 2 3 4 5 print data.allButLast // 1 2 3 4 ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/1.6.12/ios/materials.md000066400000000000000000000223241450355336000206110ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using [string interpolation](text.md#interpolation), which is useful if you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` As with `color`, once a texture has been set it will be applied to all subsequent shapes defined in the same [scope](scope.md). To clear the current texture you can set it to an empty string: ```swift texture "" ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../../images/sandbox-error-ios-1.6.4.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is applied depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../../images/textured-cube.png) ![Textured sphere](../../images/textured-sphere.png) ![Textured cylinder](../../images/textured-cylinder.png) ![Textured cone](../../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/1.6.12/ios/meshes.md000066400000000000000000000141021450355336000201070ustar00rootroot00000000000000Meshes --- While they may appear solid, the 3D shapes that ShapeScript produces are actually hollow shells composed of polygons. These polygon shells are known as [meshes](https://en.wikipedia.org/wiki/Polygon_mesh). ShapeScript provides many tools for constructing meshes, including [primitives](primitives.md), [builders](builders.md) and [CSG](csg.md) operations, but you can also create meshes manually by specifying each polygon yourself. While this is generally a tedious approach compared to the other tools, it affords you complete control over the mesh topology, and allows you to create arbitrary shapes that might be hard to achieve with higher-level tools. ## Polygons and Points A mesh is made up of one or more *polygons*, and each polygon is made up of three or more [vertices](https://en.wikipedia.org/wiki/Vertex_(geometry)) or *points*. To construct a mesh you use the `mesh`, `polygon` and `point` commands. The following code defines the simplest possible mesh - a single triangle: ```swift mesh { polygon { point 0 0 point 1 0 point 1 1 } } ``` ![Triangle](../../images/triangle-polygon.png) The `point` command accepts a [vector](literals.md#vectors-and-tuples) value. Polygons can be placed anywhere in three-dimensional space, so `point` accepts up to three values (for the X, Y and Z coordinates respectively). In this case we've just specified two values, so the Z coordinate defaults to zero. Manually constructed meshes do not currently support textures, but they inherit the current [material color](materials.md#color). Color can also be applied separately to individual vertices within a mesh. When vertices of a given polygon have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift mesh { polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } } ``` ![Colored triangle](../../images/colored-triangle.png) ## Watertightness If you rotate the triangle you will see that the back face is invisible. Most of the mesh-construction commands in ShapeScript produce shapes that are *watertight*, meaning that they do not contain any holes that would allow you to see the back faces of the polygon surface, but when you create a mesh using the `mesh` command it's up to you to ensure that the mesh you create is watertight. You can check this by selecting the mesh in the editor and [getting info](getting-started.md#debugging-and-selection). As you can see, our triangle is not watertight: ![Not watertight](../../images/not-watertight.png) Watertightness is an important quality when using [CSG](csg.md) operations, because the "solid" in Constructive Solid Geometry implies that shapes are expected to behave like solid objects (even though they are actually hollow), and holes or exposed back faces will cause glitches as ShapeScript is unable to determine whether a given point lies inside or outside the shape. To solve this, we can add another triangle with the same vertices but facing the opposite direction. But wait - we never specified the direction of the triangle face in the first place, so how does ShapeScript decide which way a polygon is facing? ## Winding order By convention, polygons in ShapeScript are assumed to be defined with [counterclockwise](https://en.wikipedia.org/wiki/Counterclockwise) (aka *anticlockwise*) winding. What that means is that when looking at the polygon from the front, the vertices will be ordered in counterclockwise direction. To add a back face we'll create a second triangle with the inverse vertex order: ```swift mesh { // Front polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Back polygon { point 1 1 point 1 0 point 0 0 } } ``` (We've left the back face white in this case, so you can tell which side is which). If you get info again you'll see that the triangle is now watertight: ## Procedural Meshes We've learned how to make a triangle, but what about something a bit more complex? For our next trick we're going to create a cube. A cube has six faces, each consisting of four vertices - 24 vertices in total. But in fact there are really only eight unique vertices, so rather than tediously typing out the same points over and over, maybe we can use the power of scripting to save ourselves some effort? First we'll define a [block](blocks.md) called "side" that creates a single side of the cube: ```swift define side { color rnd rnd rnd polygon { point -0.5 -0.5 0.5 point +0.5 -0.5 0.5 point +0.5 +0.5 0.5 point -0.5 +0.5 0.5 } } ``` Note that the `color rnd rnd rnd` - this will produce a different random color each time the block is called, making the cube a little more interesting to look at. Next we'll call `side` block six times from inside a `mesh`, passing a different orientation each time: ```swift mesh { side { orientation 0 } side { orientation 0 0.5 } side { orientation 0 1 } side { orientation 0 1.5 } side { orientation 0 0 0.5 } side { orientation 0 0 -0.5 } } ``` And voila! A colored cube: ![Cube mesh](../../images/cube-mesh.png) Obviously this is a lot more trouble than just using the [cube](primitives.md#cube) command, but hopefully you can see the potential for creating more interesting shapes. ## Concave and Non-planar Polygons In many 3D engines, meshes must be constructed exclusively from triangles. The reason for this is that by definition a triangle is always both [convex](https://en.wikipedia.org/wiki/Convex_polygon) and *planar*, meaning that all its vertices lie on the same plane, which simplifies the mathematics needed to [rasterize](https://en.wikipedia.org/wiki/Rasterisation) or render the mesh. ShapeScript places no such restrictions on the polygons that you define in your mesh. Non-planar or non-convex polygons will be automatically split into their constituent triangles as needed for [export](export.md) or display. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/1.6.12/ios/options.md000066400000000000000000000134171450355336000203260ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a texture value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name can be useful for identifying distinct shape components when [selecting them](getting-started.md#debugging-and-selection) in the viewer, or when importing a model exported from ShapeScript into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a mesh that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/1.6.12/ios/paths.md000066400000000000000000000222611450355336000177470ustar00rootroot00000000000000Paths --- A path is a sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a scene (except possibly for something like a thin rope or antenna), but they can be used to define the contours or profile of a 3D shape (see [builders](builders.md) for details). ## Points As with the [polygons](meshes.md#polygons-and-points) in a mesh, you define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be three-dimensional, so `point` accepts up to three coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of zero). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point must have the same position. The following path has four points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves in ShapeScript are typically created using [quadratic Béziers](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. Just as [3D meshes](meshes.md) are constructed from flat polygons, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift path { detail 99 point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../../images/octocircle.png) ## Arcs Arcs created by Bézier curves can approximate a circle, but not perfectly. If you need a precisely circular curve, you can use the `arc` command: ```swift arc { angle 0.5 } ``` The `angle` option defines the angular span of the arc, starting clockwise from the Y axis. The angle is measured in *half-turns* (as explained in the [Transforms](transforms.md#orientation) section) so the `0.5` in the example above produces a quarter circle: ![Quarter Circle](../../images/quarter-circle.png) To adjust the starting angle, you can use the [orientation option](transforms.md#orientation) or [rotate command](transforms.md#relative-transforms) as you would for any other shape. The following creates an arc from -45 degrees to +90 degrees: ```swift arc { orientation -0.25 angle 0.75 } ``` Arcs have a default radius of 0.5 units. You can increase or decrease this using the `size` option: ```swift arc { size 2 // radius of 1 unit (0.5 * 2) } ``` Arcs can be used in conjunction with individual path points or other arcs to make more complex shapes. The following creates a slab with curved corners: ```swift extrude path { // left arc arc { angle -0.5 } // bottom-left corner point -0.5 0 // bottom-right corner point 1.5 0 // right arc arc { position 1 0 orientation 0.5 angle -0.5 } // close path with smooth join curve 0 0.5 } ``` ![Curved slab](../../images/curved-slab.png) ## Circles If you need a complete circle, there's an even simpler way than using `arc`, which is to use the `circle` command: ```swift circle ``` Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../../images/roundrect.png) ## Regular Polygons When used outside of a `mesh`, the `polygon` command can be used to create a regular polygon. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/1.6.12/ios/primitives.md000066400000000000000000000053271450355336000210270ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct a scene. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) or [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of polygons, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/1.6.12/ios/scope.md000066400000000000000000000035651450355336000177470ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines subcomponents in your scene can use transforms and materials internally without them "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/1.6.12/ios/symbols.md000066400000000000000000000052541450355336000203230ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/1.6.12/ios/text.md000066400000000000000000000163561450355336000176240ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [string interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use string interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty string literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [string interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/1.6.12/ios/transforms.md000066400000000000000000000147101450355336000210260ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)). This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. For example the following code applies a pitch of 45 degrees followed by a roll of 80 degrees, which would be very difficult to express as a single `rotate` or `orientation` instruction due to the fixed roll-yaw-pitch order: ```swift rotate 0 0 0.25 // pitch 45 degrees rotate 0.4 0 0 // roll 80 degrees cube ``` --- [Index](index.md) | Next: [Bounds](bounds.md) ShapeScript-1.6.14/docs/1.6.12/mac/000077500000000000000000000000001450355336000162515ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.12/mac/blocks.md000066400000000000000000000047461450355336000200630ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/1.6.12/mac/bounds.md000066400000000000000000000056521450355336000200750ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needed to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Meshes](meshes.md) ShapeScript-1.6.14/docs/1.6.12/mac/builders.md000066400000000000000000000215161450355336000204110ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D shape: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units polygon { sides 3 } } ``` ![Prism](../../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../../images/roundrect-extrusion.png) In the following example, we extrude a square cross-section along a 3D path: ```swift define shape path { orientation 0 0 -0.4 curve 0 1 0.75 curve -1 0 curve 0 -1 0.25 curve 1 0 curve 1 1 curve 0 1 0.75 } extrude { square { size 0.1 } along shape } ``` ![Tangential extrusion](../../images/tangential-extrusion.png) Note how the cross-section tilts as it follows the path. This can be a nice effect, but you might prefer that the cross section remains perpendicular to the world axes. To control this, you can use the `axisAligned` property: ```swift extrude { square { size 0.1 } along shape axisAligned true } ``` ![Axis-aligned extrusion](../../images/axis-aligned-extrusion.png) A value of `true` for `axisAligned` means the cross section will remain perpendicular to the path, which in some cases may cause the shape to look "pinched". A value of `false` means the cross-section is always aligned to the tangent of the path, which ensures consistent thickness at the cost of inconsistent orientation. If the `axisAligned` property is omitted, ShapeScript will try to choose an appropriate alignment for the path provided to `along`. To apply a twist along the length of an extruded shape, you can use the `twist` property: ```swift extrude { square twist 0.5 } ``` ![Twisted extrusion](../../images/twisted-extrusion.png) Twist uses the same [half-turn](transforms.md#orientation) units as the other rotation commands, so a twist of 0.5 equates to one quarter turn, or 90 degrees. Applying a twist will automatically increase the number of cross sections in proportion to the current [detail](options.md#detail) level to prevent distortion: ![Twisted extrusion wireframe](../../images/twisted-extrusion-wireframe.png) You can combine `twist` with the `along` property to twist a curved path: ```swift extrude { square { size 0.2 } along circle twist 2 } ``` ![Twisted circle](../../images/twisted-circle.png) **Note:** when extruding along a closed path, you should always use a multiple of `2` (i.e. a full rotation) for the `twist` value to avoid an ugly seam: ![Twisted circle seam](../../images/twisted-circle-seam.png) ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 polygon { sides 3 } translate 0 0 2 // triangle 2 polygon { sides 3 } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../../images/loftshape.png) ## Hull The `hull` command works a bit like `loft`, in that it joins together multiple paths to form a solid surface. Here is the `loft` shape above, implemented using `hull`: ```swift hull { square translate 0 0 1 circle } ``` ![Hull shape](../../images/loftshape.png) So if `hull` and `loft` are the same, why have a separate command? The difference is that rather than joining sections together in a tube, `hull` forms a tight *skin* around the outside of all its child shapes, known as a [convex hull](https://en.wikipedia.org/wiki/Convex_hull). To illustrate the difference, here is the `hull` of a star shape, vs a `loft` of the same shape: ![Hull shape](../../images/hull-vs-loft.png) But the real power of the `hull` command is that it's not limited to operating on paths. Unlike the other builders, you can create a hull around meshes, paths, points, or any combination. For example, here is a hull formed from a cylinder and a point: ```swift hull { cylinder point 1 0 0 } ``` ![Hull shape](../../images/hull.png) This allows for a lot of interesting shapes that would be hard to create using the other commands. You might notice some odd stripes on the surface near the lip of the cylinder. As you may recall from the [detail](options.md#detail) section, curved surfaces in ShapeScript are actually formed from straight-edged polygons, with lighting used to make them appear smooth. When creating a hull from different shapes, the resultant [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) aren't always what you'd expect, which can result in lighting glitches like this. In some cases you can use the [smoothing](options.md#smoothing) command to smooth out these discrepancies, like so: ```swift smoothing 0.25 ``` ![Hull shape](../../images/smoothed-hull.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/1.6.12/mac/camera-control.md000066400000000000000000000043721450355336000215070ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled either programmatically or via mouse or trackpad. ## Camera Selection The camera defaults to "Front" view, which is positioned along the Z axis, looking forward towards the scene. The distance of the camera from the origin is set automatically based on volume occupied by the shapes in the scene. You can choose a different camera angle from the `View > Camera` menu. [Custom cameras](cameras.md#custom-cameras) can be defined programatically. ShapeScript will remember the last selected camera for each shape file. To temporarily change the camera position, you can alter the view using the mouse or trackpad (see below). To reset the current camera back to its original position, select the `View > Camera > Reset` menu, or press **Cmd-0** on the keyboard. ## Mouse Control **Note:** The instructions below assume the use of an Apple Magic Mouse. Controls for other mice may differ. Motion | Action :--------------------------- | :-------------------------- Rotate scene | Hold the mouse button and drag Pan up/down/left/right | Either swipe the mouse surface with one finger, or hold Shift + mouse button and drag Zoom in and out | Hold Shift, then swipe up or down on the mouse surface with one finger
## Trackpad Control Motion | Action :--------------------------- | :-------------------------- Rotate scene | Click and drag with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Either pinch, or hold Shift + swipe up or down with two fingers Roll | Pinch, then rotate fingers
## Copy Settings It can be difficult to visualize the effect that a given position or orientation will have when defining a [custom camera](cameras.md#custom-cameras). A good solution is to use touch gestures to position the camera, then select `View > Copy Camera Settings`, or press **Cmd-Shift-C** on the keyboard. This copies a snippet of ShapeScript code which you can then paste into your `.shape` file to create the custom camera. --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/1.6.12/mac/cameras.md000066400000000000000000000123331450355336000202100ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your scene from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../../images/custom-camera-menu.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#image-formats): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/1.6.12/mac/commands.md000066400000000000000000000145701450355336000204030ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the shape, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#image-formats). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your scene is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. ## Import The `import` command is used to import an external ShapeScript or 3D geometry file. For more details on how this is used, see the [import](import.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/1.6.12/mac/comments.md000066400000000000000000000036061450355336000204250ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a scene. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. ## Block Comments Another way to disable a large chunk of code at once is to use a *block comment*. Block comments begin with `/*` and end with `*/`. Anything between these delimiters is considered part of the comment, even if they span multiple lines: ```swift /* // this code is disabled fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } */ ``` Block comments can also be useful if you want to place a comment in the middle of a line, for example: ```swift define a(b c d) { b /* + c */ + d } ``` Here we've excluded the `c` parameter from the result, however the code both before and after the comment is unaffected. ## Nested Comments Unlike some other languages, ShapeScript allows block comments to be nested inside each other. This is useful if you want to comment out some code that already contains comments: ```swift /* define foo { option bar 3 /* option baz 5 */ // return bar print bar } */ ``` **Note:** although nested comments are supported by ShapeScript itself, they may confuse the syntax highlighting in whichever editor you are using. Don't be alarmed if part of the comment appears in the wrong color. --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/1.6.12/mac/control-flow.md000066400000000000000000000111131450355336000212150ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your scene might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/1.6.12/mac/csg.md000066400000000000000000000075621450355336000173610ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The shape on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../../images/group-vs-difference.png) The subtracted shape is removed from the result, but leaves an impression in the shape it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque shape the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The shape on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The shape on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a shape. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/1.6.12/mac/debugging.md000066400000000000000000000053001450355336000205240ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/1.6.12/mac/examples.md000066400000000000000000000042501450355336000204120ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../../images/earth.png) ## Icosahedron The Icosahedron demonstrates the use of the [mesh command](meshes.md) along with [structured data](literals.md#structured-data) and [custom functions](functions.md#custom-functions) to create a complex shape that cannot easily be derived from the built-in primitives. ![Icosahedron](../../images/icosahedron.png) ## Spirals The Spirals example demonstrates using the [extrude](builders.md#extrude) command to create a spiral. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spirals](../../images/spirals.png) ## Spring The Spring example demonstrates how to use the [loft](builders.md#loft) command and a [for loop](control-flow.md#loops) to create a coiled spring shape. ![Spring](../../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.12/mac/export.md000066400000000000000000000127771450355336000201320ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D scene, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript Mac App](https://apps.apple.com/app/id1441135869). Export is not available in the free ShapesScript Viewer.** To export your scene, select the `File > Unlock Export Feature…` menu (**Cmd-Shift-E**) to unlock the export functionality. Once unlocked, this menu will change to `Export…`. **Note:** If the `Export…` menu is grayed-out, it is most likely because your scene is still loading. Wait for the loading spinner in the top-left of the ShapeScript document window to finish before trying to export. ![Loading](../../images/loading.png) ## Export Formats ShapeScript can export your scene in a variety of model formats, selectable from the export window: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
**Note:** Not all formats support all features of ShapeScript scenes, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## Games and AR Models exported from ShapeScript are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use USD(Z) files with Apple's SceneKit and RealityKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in Stereolithography (STL) format, used by many 3D printing applications. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript scenes use the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the export window to export your model in this orientation. ## Image Formats In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ gif | Graphics Interchange Format | Yes png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No jpf / jp2 | JPEG 2000 | Yes tif / tiff | Tagged Image File Format | Yes bmp | Bitmap | No
If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. ## Image Options The size of the exported image defaults to the current window size at the current display resolution. You can override this size in your script file by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions), or by clicking on the size label in the export window and selecting a different size: ![Export size](../../images/export-size.png) Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a [ray tracing](https://en.wikipedia.org/wiki/Ray_tracing_(graphics)) program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/1.6.12/mac/expressions.md000066400000000000000000000214671450355336000211670ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value % | modulo | Remainder of dividing the left value by the right value
Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison ShapeScript includes the following equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else): Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
**Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Linear Algebra As well as operating on individual numbers, some operators can be used with [vectors or tuples](literals.md#vectors-and-tuples). To multiply or divide a tuple of numbers by a scalar value you can use: ```swift define numbers (1 2 3 -4) print numbers * 2 // prints 2 4 6 -8 ``` You can also multiply two tuples: ```swift define left (1 2 3) define right (1 -2 3) print left * right // prints 1 -4 9 ``` Note that is a simple member-wise multiplication of the numbers. For other types of vector multiplication such as the dot or cross product see the [functions section](functions.md#linear-algebra). If the tuples have different lengths, the result will be truncated to the shorter of the two: ```swift define left (1 2 3) define right (1 -2) print left * right // prints 1 -4 ``` You can also add or subtract two lists of numbers together: ```swift define left (1 2 3) define right (1 -2 3) print left + right // prints 2 0 6 ``` Unlike with multiplication or division, adding or subtracting a shorter tuple from a longer one will preserve the length of the left side: ```swift define left (1 2 3) define right (1 -2) print left + right // prints 2 0 3 ``` Adding a longer tuple to a shorter one will not widen the result however: ```swift define left (1 2 3) define right (1 -2 3 4) print left + right // prints 2 0 3 ``` ## Boolean Algebra Along with the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members Compound values like [vectors and tuples](literals.md#vectors-and-tuples) can be decomposed by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For strings, you can use the `lines`, `words` and `characters` members: ```swift define sentence "The quick brown fox" for word in sentence { print word // prints each word on a new line } ``` For [meshes](meshes.md) you can access the `name`, `bounds` and `polygons` members, and for [polygons](meshes.md#polygons-and-points) you can use `points` to access the individual vertices. For points you can access the `position` and `color`: ```swift define triangle polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Print the vertex colors for point in triangle.points { print "position: " point.position ", color: " point.color } ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/1.6.12/mac/functions.md000066400000000000000000000220231450355336000206020ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sign` function (not to be confused with [sin](#trigonometry)) returns `1`, `-1` or `0` depending on the sign of the input: ```swift sign 4.5 // returns 1 sign -51 // returns -1 sign 0 // returns 0 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two or more values: ```swift min 2 4 // returns 2 min 5 0 -5.1 // returns -5.1 ``` The `max` function returns the higher of two or more values: ```swift max 2 4 // returns 4 max 5 0 -5.1 // returns 5 ``` ## Linear Algebra ShapeScript also includes functions for operating on [vectors](literals.md#vectors-and-tuples): The `dot` function is used to calculate the [dot product](https://en.wikipedia.org/wiki/Dot_product) of a pair of vectors: ```swift define up (0 1) define right (1 0) print dot(up right) // returns 0 ``` The `cross` function calculates the [cross product](https://en.wikipedia.org/wiki/Cross_product): ```swift define up (0 1) define right (1 0) print cross(up right) // returns 0 0 -1 ``` The `length` function calculates the magnitude of a vector (also known as the [norm](https://en.wikipedia.org/wiki/Euclidean_space#Euclidean_norm)): ```swift define v (3 4) print length(v) // returns 5 ``` The `normalize` function computes a [unit vector](https://en.wikipedia.org/wiki/Unit_vector) from an arbitrary vector by dividing each element by the vector length: ```swift define v (3 4) print normalize(v) // returns 0.6 0.8 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry in ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript half-turn value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript half-turn value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :---------------------| :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to half-turns | halfturns = degrees / 180 Half-turns to degrees | degrees = halfturns * 180 Radians to half-turns | halfturns = degrees / pi Half-turns to radians | radians = halfturns * pi
Common values: Angle in degrees | Angle in radians | Angle in half-turns :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
## Strings ShapeScript includes a number of functions for manipulating strings. The `join` function concatenates two or more strings together, with an optional separator: ```swift define words "Hello" "World!" define greeting join words ", " print greeting // prints "Hello, World!" ``` If you don't want a delimiter, just pass an empty string as the second argument to join: ```swift define words "Hello" "World!" define greeting join(words "") print greeting // prints "HelloWorld!" ``` The `split` function breaks a string up into a tuple of substrings by splitting it at a specified delimiter: ```swift define input "comma,delimited,string" define elements split input "," print elements.second // prints "delimited" ``` The `trim` function removes any leading or trailing [white space](https://en.wikipedia.org/wiki/Whitespace_character) characters from a string: ```swift define input "comma, delimited , string,with ,spaces" define elements split input "," print elements.second // prints " delimited " print trim elements.second // prints just "delimited" without spaces ``` ## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/1.6.12/mac/getting-started.md000066400000000000000000000202541450355336000217030ustar00rootroot00000000000000Getting Started --- Start by creating a new ShapeScript document. You can do this by selecting `File > New` in the menu bar (or by pressing **Cmd-N** on the keyboard). You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. **Note:** If you cannot see the file prompt, check that it hasn't appeared *behind* this help window. The help window floats in front of all other windows and applications, so you may need to move it out of the way. You should see a new window appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../../images/new-document-mac.png) ## Viewing Drag your mouse cursor inside the window and you will notice that the three objects appear to rotate. You are not actually moving the shapes themselves, but rotating the camera around them. To reset the view, select `View > Camera > Reset` or press **Cmd-0**. To help you orient yourself, you can use the `View > Show Axes` option, which displays the direction of the X, Y and Z axes. ![Show axes](../../images/show-axes-mac.png) For more information about navigating around the model, see [Camera Control](camera-control.md). ## Editing To edit the 3D model, select the `Edit > Open in Editor` menu or press **Cmd-E**. ShapeScript does not include an editor. Instead, the `Open in Editor` command will ask you to select an external text editor to use. If you do not have any other editors installed, the default option will probably be TextEdit. Once opened, the file should look something like this: ![TextEdit window](../../images/textedit-mac.png) ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. TextEdit will work, but is probably not the best choice as it does not support syntax coloring or any of the other programmer-friendly features of modern editors. If you have a more advanced editor such as [SubEthaEdit](https://subethaedit.net), [TextMate](https://macromates.com), [Sublime Text](https://www.sublimetext.com) or [Atom](https://atom.io) then it would be better to use one of these. An Integrated Development Environment (IDE) such as [Xcode](https://developer.apple.com/xcode/) is also a good option. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Xcode) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. ShapeScript will only ask you which editor you want to use the *first* time you edit a file, then it will remember your choice. If you change your mind later, you can select a different editor in Preferences (select the `ShapeScript > Preferences…` menu or press **Cmd-,**). ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. ShapeScript models are made out of flat polygons, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many polygons will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your models so that you avoid having to work with very large scales (thousands of units), or very small scales (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assumed to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../../images/yellow-cube-mac.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../../images/error-screen-mac.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use the `Edit > Undo` menu in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection You can get information about your scene (such as polygon count and overall dimensions) by selecting `View > Scene Info` (**Cmd-I**) in the menu bar. To get info about a particular shape in the scene, click on it in the viewer to select it, then use `View > Model Info` (**Cmd-I**) to get info on just the selected part. This will also tell you which line in the `.shape` file defines that component. Click outside of the shape, or press **Escape** to deselect it again. ![Object info](../../images/object-info-mac.png) You can also use the `Edit > Select Shape` menu to select from a list of shapes in the scene, or cycle between selected shapes using the **Tab** key. **Note:** If you are having trouble identifying a particular shape from your `.shape` file, you can use the [debug command](debugging.md) to highlight it in the viewer. --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/1.6.12/mac/glossary.md000066400000000000000000000032301450355336000204340ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Half-turn | The unit used to specify angles or rotations in ShapeScript Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/1.6.12/mac/groups.md000066400000000000000000000025161450355336000201160ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs, etc. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [options](options.md) (material, detail, etc.) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the position of subsequent shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../../images/group.png) **Note:** Changes made to properties such as transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/1.6.12/mac/import.md000066400000000000000000000056261450355336000201160ustar00rootroot00000000000000Import --- ## Scripts ShapeScript files can get quite large for complicated scenes, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` Here we've used `import` to load an external ShapeScript file and evaluate it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Models The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. ## Text and Data In addition to scripts and standard model formats, text files can be imported as a [string](literals.md#strings) value. ```swift define text { import "Text.txt" } ``` Imported strings can then be displayed directly, or further processed using ShapeScript's [string functions](functions.md#strings): ```swift for line in text.lines { print (trim line) } ``` As well as plain text, ShapeScript also supports importing JSON files as [structured data](literals.md#structured-data): ```swift define data { import "Data.json" } ``` ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](export.md) ShapeScript-1.6.14/docs/1.6.12/mac/index.md000066400000000000000000000157471450355336000177200ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Viewing](getting-started.md#viewing) - [Editing](getting-started.md#editing) - [File Structure](getting-started.md#file-structure) - [Next Steps](getting-started.md#next-steps) - [Debugging and Selection](getting-started.md#debugging-and-selection) - [Camera Control](camera-control.md) - [Camera Selection](camera-control.md#camera-selection) - [Mouse Control](camera-control.md#mouse-control) - [Trackpad Control](camera-control.md#trackpad-control) - [Copy Settings](camera-control.md#copy-settings) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Meshes](meshes.md) - [Polygons and Points](meshes.md#polygons-and-points) - [Watertightness](meshes.md#watertightness) - [Winding order](meshes.md#winding-order) - [Procedural Meshes](meshes.md#procedural-meshes) - [Concave and Non-planar Polygons](meshes.md#concave-and-non-planar-polygons) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Arcs](paths.md#arcs) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Hull](builders.md#hull) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Groups](groups.md) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Block Comments](comments.md#block-comments) - [Nested Comments](comments.md#nested-comments) - [Literals](literals.md) - [Strings](literals.md#strings) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Linear Algebra](expressions.md#linear-algebra) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Linear Algebra](functions.md#linear-algebra) - [Trigonometry](functions.md#trigonometry) - [Strings](functions.md#strings) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Import](commands.md#import) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Scripts](import.md#scripts) - [Models](import.md#models) - [Text and Data](import.md#text-and-data) - [Dynamic Imports](import.md#dynamic-imports) - [Export](export.md) - [Export Formats](export.md#export-formats) - [Games and AR](export.md#games-and-ar) - [3D Printing](export.md#3d-printing) - [Image Formats](export.md#image-formats) - [Image Options](export.md#image-options) - [Examples](examples.md) - [Ball](examples.md#ball) - [Chessboard](examples.md#chessboard) - [Cog](examples.md#cog) - [Earth](examples.md#earth) - [Icosahedron](examples.md#icosahedron) - [Spirals](examples.md#spirals) - [Spring](examples.md#spring) - [Train](examples.md#train) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.12/mac/lights.md000066400000000000000000000130111450355336000200610ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a scene for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/1.6.12/mac/literals.md000066400000000000000000000135021450355336000204130ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a decimal literal false // a boolean literal "hello" // a string literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` ## Strings Strings are how human-readable text is represented in ShapeScript. These are used for a variety of purposes, including specifying file names for [imports](import.md) or [textures](materials.md#texture), [logging](debugging.md#logging) debug information to the console, or even rendering 3D text. String literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. If you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a string literal without a closing `"` is treated as an error, so if you need to include line-breaks in your string then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the string. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). A tuple of numeric values is also known as a *vector*. Vectors are used in ShapeScript to represent positions, colors, sizes and rotations. Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` You can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers. They can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, ... `last`) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.count // 3 print data.first // name print data.second // position print data.last // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` You can split up lists of data using the `allButFirst` and `allButLast` members: ```swift define data (1 2 3 4 5) print data.allButFirst // 2 3 4 5 print data.allButLast // 1 2 3 4 ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/1.6.12/mac/materials.md000066400000000000000000000223121450355336000205540ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using [string interpolation](text.md#interpolation), which is useful if you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` As with `color`, once a texture has been set it will be applied to all subsequent shapes defined in the same [scope](scope.md). To clear the current texture you can set it to an empty string: ```swift texture "" ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../../images/sandbox-error.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is applied depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../../images/textured-cube.png) ![Textured sphere](../../images/textured-sphere.png) ![Textured cylinder](../../images/textured-cylinder.png) ![Textured cone](../../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/1.6.12/mac/meshes.md000066400000000000000000000141021450355336000200550ustar00rootroot00000000000000Meshes --- While they may appear solid, the 3D shapes that ShapeScript produces are actually hollow shells composed of polygons. These polygon shells are known as [meshes](https://en.wikipedia.org/wiki/Polygon_mesh). ShapeScript provides many tools for constructing meshes, including [primitives](primitives.md), [builders](builders.md) and [CSG](csg.md) operations, but you can also create meshes manually by specifying each polygon yourself. While this is generally a tedious approach compared to the other tools, it affords you complete control over the mesh topology, and allows you to create arbitrary shapes that might be hard to achieve with higher-level tools. ## Polygons and Points A mesh is made up of one or more *polygons*, and each polygon is made up of three or more [vertices](https://en.wikipedia.org/wiki/Vertex_(geometry)) or *points*. To construct a mesh you use the `mesh`, `polygon` and `point` commands. The following code defines the simplest possible mesh - a single triangle: ```swift mesh { polygon { point 0 0 point 1 0 point 1 1 } } ``` ![Triangle](../../images/triangle-polygon.png) The `point` command accepts a [vector](literals.md#vectors-and-tuples) value. Polygons can be placed anywhere in three-dimensional space, so `point` accepts up to three values (for the X, Y and Z coordinates respectively). In this case we've just specified two values, so the Z coordinate defaults to zero. Manually constructed meshes do not currently support textures, but they inherit the current [material color](materials.md#color). Color can also be applied separately to individual vertices within a mesh. When vertices of a given polygon have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift mesh { polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } } ``` ![Colored triangle](../../images/colored-triangle.png) ## Watertightness If you rotate the triangle you will see that the back face is invisible. Most of the mesh-construction commands in ShapeScript produce shapes that are *watertight*, meaning that they do not contain any holes that would allow you to see the back faces of the polygon surface, but when you create a mesh using the `mesh` command it's up to you to ensure that the mesh you create is watertight. You can check this by selecting the mesh in the editor and [getting info](getting-started.md#debugging-and-selection). As you can see, our triangle is not watertight: ![Not watertight](../../images/not-watertight.png) Watertightness is an important quality when using [CSG](csg.md) operations, because the "solid" in Constructive Solid Geometry implies that shapes are expected to behave like solid objects (even though they are actually hollow), and holes or exposed back faces will cause glitches as ShapeScript is unable to determine whether a given point lies inside or outside the shape. To solve this, we can add another triangle with the same vertices but facing the opposite direction. But wait - we never specified the direction of the triangle face in the first place, so how does ShapeScript decide which way a polygon is facing? ## Winding order By convention, polygons in ShapeScript are assumed to be defined with [counterclockwise](https://en.wikipedia.org/wiki/Counterclockwise) (aka *anticlockwise*) winding. What that means is that when looking at the polygon from the front, the vertices will be ordered in counterclockwise direction. To add a back face we'll create a second triangle with the inverse vertex order: ```swift mesh { // Front polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Back polygon { point 1 1 point 1 0 point 0 0 } } ``` (We've left the back face white in this case, so you can tell which side is which). If you get info again you'll see that the triangle is now watertight: ## Procedural Meshes We've learned how to make a triangle, but what about something a bit more complex? For our next trick we're going to create a cube. A cube has six faces, each consisting of four vertices - 24 vertices in total. But in fact there are really only eight unique vertices, so rather than tediously typing out the same points over and over, maybe we can use the power of scripting to save ourselves some effort? First we'll define a [block](blocks.md) called "side" that creates a single side of the cube: ```swift define side { color rnd rnd rnd polygon { point -0.5 -0.5 0.5 point +0.5 -0.5 0.5 point +0.5 +0.5 0.5 point -0.5 +0.5 0.5 } } ``` Note that the `color rnd rnd rnd` - this will produce a different random color each time the block is called, making the cube a little more interesting to look at. Next we'll call `side` block six times from inside a `mesh`, passing a different orientation each time: ```swift mesh { side { orientation 0 } side { orientation 0 0.5 } side { orientation 0 1 } side { orientation 0 1.5 } side { orientation 0 0 0.5 } side { orientation 0 0 -0.5 } } ``` And voila! A colored cube: ![Cube mesh](../../images/cube-mesh.png) Obviously this is a lot more trouble than just using the [cube](primitives.md#cube) command, but hopefully you can see the potential for creating more interesting shapes. ## Concave and Non-planar Polygons In many 3D engines, meshes must be constructed exclusively from triangles. The reason for this is that by definition a triangle is always both [convex](https://en.wikipedia.org/wiki/Convex_polygon) and *planar*, meaning that all its vertices lie on the same plane, which simplifies the mathematics needed to [rasterize](https://en.wikipedia.org/wiki/Rasterisation) or render the mesh. ShapeScript places no such restrictions on the polygons that you define in your mesh. Non-planar or non-convex polygons will be automatically split into their constituent triangles as needed for [export](export.md) or display. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/1.6.12/mac/options.md000066400000000000000000000134171450355336000202740ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a texture value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name can be useful for identifying distinct shape components when [selecting them](getting-started.md#debugging-and-selection) in the viewer, or when importing a model exported from ShapeScript into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a mesh that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/1.6.12/mac/paths.md000066400000000000000000000222611450355336000177150ustar00rootroot00000000000000Paths --- A path is a sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a scene (except possibly for something like a thin rope or antenna), but they can be used to define the contours or profile of a 3D shape (see [builders](builders.md) for details). ## Points As with the [polygons](meshes.md#polygons-and-points) in a mesh, you define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be three-dimensional, so `point` accepts up to three coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of zero). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point must have the same position. The following path has four points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves in ShapeScript are typically created using [quadratic Béziers](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. Just as [3D meshes](meshes.md) are constructed from flat polygons, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift path { detail 99 point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../../images/octocircle.png) ## Arcs Arcs created by Bézier curves can approximate a circle, but not perfectly. If you need a precisely circular curve, you can use the `arc` command: ```swift arc { angle 0.5 } ``` The `angle` option defines the angular span of the arc, starting clockwise from the Y axis. The angle is measured in *half-turns* (as explained in the [Transforms](transforms.md#orientation) section) so the `0.5` in the example above produces a quarter circle: ![Quarter Circle](../../images/quarter-circle.png) To adjust the starting angle, you can use the [orientation option](transforms.md#orientation) or [rotate command](transforms.md#relative-transforms) as you would for any other shape. The following creates an arc from -45 degrees to +90 degrees: ```swift arc { orientation -0.25 angle 0.75 } ``` Arcs have a default radius of 0.5 units. You can increase or decrease this using the `size` option: ```swift arc { size 2 // radius of 1 unit (0.5 * 2) } ``` Arcs can be used in conjunction with individual path points or other arcs to make more complex shapes. The following creates a slab with curved corners: ```swift extrude path { // left arc arc { angle -0.5 } // bottom-left corner point -0.5 0 // bottom-right corner point 1.5 0 // right arc arc { position 1 0 orientation 0.5 angle -0.5 } // close path with smooth join curve 0 0.5 } ``` ![Curved slab](../../images/curved-slab.png) ## Circles If you need a complete circle, there's an even simpler way than using `arc`, which is to use the `circle` command: ```swift circle ``` Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../../images/roundrect.png) ## Regular Polygons When used outside of a `mesh`, the `polygon` command can be used to create a regular polygon. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/1.6.12/mac/primitives.md000066400000000000000000000053271450355336000207750ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct a scene. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) or [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of polygons, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/1.6.12/mac/scope.md000066400000000000000000000035651450355336000177150ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines subcomponents in your scene can use transforms and materials internally without them "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/1.6.12/mac/symbols.md000066400000000000000000000052541450355336000202710ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/1.6.12/mac/text.md000066400000000000000000000163561450355336000175720ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [string interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use string interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty string literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [string interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/1.6.12/mac/transforms.md000066400000000000000000000147101450355336000207740ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)). This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. For example the following code applies a pitch of 45 degrees followed by a roll of 80 degrees, which would be very difficult to express as a single `rotate` or `orientation` instruction due to the fixed roll-yaw-pitch order: ```swift rotate 0 0 0.25 // pitch 45 degrees rotate 0.4 0 0 // roll 80 degrees cube ``` --- [Index](index.md) | Next: [Bounds](bounds.md) ShapeScript-1.6.14/docs/1.6.130000777000000000000000000000000014503553360001610021.6.12ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.140000777000000000000000000000000014503553360001610121.6.12ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.20000777000000000000000000000000014503553360001573421.6.1ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.3/000077500000000000000000000000001450355336000154315ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.3/ios/000077500000000000000000000000001450355336000162235ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.3/ios/blocks.md000066400000000000000000000047461450355336000200350ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/1.6.3/ios/bounds.md000066400000000000000000000056521450355336000200470ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needed to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Meshes](meshes.md) ShapeScript-1.6.14/docs/1.6.3/ios/builders.md000066400000000000000000000215161450355336000203630ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D shape: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units polygon { sides 3 } } ``` ![Prism](../../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../../images/roundrect-extrusion.png) In the following example, we extrude a square cross-section along a 3D path: ```swift define shape path { orientation 0 0 -0.4 curve 0 1 0.75 curve -1 0 curve 0 -1 0.25 curve 1 0 curve 1 1 curve 0 1 0.75 } extrude { square { size 0.1 } along shape } ``` ![Tangential extrusion](../../images/tangential-extrusion.png) Note how the cross-section tilts as it follows the path. This can be a nice effect, but you might prefer that the cross section remains perpendicular to the world axes. To control this, you can use the `axisAligned` property: ```swift extrude { square { size 0.1 } along shape axisAligned true } ``` ![Axis-aligned extrusion](../../images/axis-aligned-extrusion.png) A value of `true` for `axisAligned` means the cross section will remain perpendicular to the path, which in some cases may cause the shape to look "pinched". A value of `false` means the cross-section is always aligned to the tangent of the path, which ensures consistent thickness at the cost of inconsistent orientation. If the `axisAligned` property is omitted, ShapeScript will try to choose an appropriate alignment for the path provided to `along`. To apply a twist along the length of an extruded shape, you can use the `twist` property: ```swift extrude { square twist 0.5 } ``` ![Twisted extrusion](../../images/twisted-extrusion.png) Twist uses the same [half-turn](transforms.md#orientation) units as the other rotation commands, so a twist of 0.5 equates to one quarter turn, or 90 degrees. Applying a twist will automatically increase the number of cross sections in proportion to the current [detail](options.md#detail) level to prevent distortion: ![Twisted extrusion wireframe](../../images/twisted-extrusion-wireframe.png) You can combine `twist` with the `along` property to twist a curved path: ```swift extrude { square { size 0.2 } along circle twist 2 } ``` ![Twisted circle](../../images/twisted-circle.png) **Note:** when extruding along a closed path, you should always use a multiple of `2` (i.e. a full rotation) for the `twist` value to avoid an ugly seam: ![Twisted circle seam](../../images/twisted-circle-seam.png) ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 polygon { sides 3 } translate 0 0 2 // triangle 2 polygon { sides 3 } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../../images/loftshape.png) ## Hull The `hull` command works a bit like `loft`, in that it joins together multiple paths to form a solid surface. Here is the `loft` shape above, implemented using `hull`: ```swift hull { square translate 0 0 1 circle } ``` ![Hull shape](../../images/loftshape.png) So if `hull` and `loft` are the same, why have a separate command? The difference is that rather than joining sections together in a tube, `hull` forms a tight *skin* around the outside of all its child shapes, known as a [convex hull](https://en.wikipedia.org/wiki/Convex_hull). To illustrate the difference, here is the `hull` of a star shape, vs a `loft` of the same shape: ![Hull shape](../../images/hull-vs-loft.png) But the real power of the `hull` command is that it's not limited to operating on paths. Unlike the other builders, you can create a hull around meshes, paths, points, or any combination. For example, here is a hull formed from a cylinder and a point: ```swift hull { cylinder point 1 0 0 } ``` ![Hull shape](../../images/hull.png) This allows for a lot of interesting shapes that would be hard to create using the other commands. You might notice some odd stripes on the surface near the lip of the cylinder. As you may recall from the [detail](options.md#detail) section, curved surfaces in ShapeScript are actually formed from straight-edged polygons, with lighting used to make them appear smooth. When creating a hull from different shapes, the resultant [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) aren't always what you'd expect, which can result in lighting glitches like this. In some cases you can use the [smoothing](options.md#smoothing) command to smooth out these discrepancies, like so: ```swift smoothing 0.25 ``` ![Hull shape](../../images/smoothed-hull.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/1.6.3/ios/camera-control.md000066400000000000000000000024761450355336000214640ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled via touch gestures. The camera is not part of the file itself, and moving it will not change the file in any way. ## Camera Selection By default, the camera is positioned along the Z axis, looking down at the scene. The distance of the camera from the origin is set automatically based on the bounding sphere of the scene. You can choose a different camera angle from the camera menu in the top right of the screen. [Custom cameras](cameras.md#custom-cameras) can be defined programatically. To reset the current camera to its default position, select `Reset View`. ## Touch Controls Motion | Action :--------------------------- | :-------------------------- Rotate scene | Swipe with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Pinch Roll | Pinch, then rotate fingers ## Copy Settings To copy the configuration for the current camera view, select `Copy Settings` from the camera menu. This will copy a snippet of ShapeScript code which you can then paste into your `.shape` file to define a [custom camera](cameras.md#custom-cameras). --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/1.6.3/ios/cameras.md000066400000000000000000000123451450355336000201650ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your scene from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../../images/custom-camera-menu-ios-1.6.3.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#image-formats): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/1.6.3/ios/commands.md000066400000000000000000000145701450355336000203550ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the shape, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#image-formats). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your scene is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. ## Import The `import` command is used to import an external ShapeScript or 3D geometry file. For more details on how this is used, see the [import](import.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/1.6.3/ios/comments.md000066400000000000000000000036061450355336000203770ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a scene. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. ## Block Comments Another way to disable a large chunk of code at once is to use a *block comment*. Block comments begin with `/*` and end with `*/`. Anything between these delimiters is considered part of the comment, even if they span multiple lines: ```swift /* // this code is disabled fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } */ ``` Block comments can also be useful if you want to place a comment in the middle of a line, for example: ```swift define a(b c d) { b /* + c */ + d } ``` Here we've excluded the `c` parameter from the result, however the code both before and after the comment is unaffected. ## Nested Comments Unlike some other languages, ShapeScript allows block comments to be nested inside each other. This is useful if you want to comment out some code that already contains comments: ```swift /* define foo { option bar 3 /* option baz 5 */ // return bar print bar } */ ``` **Note:** although nested comments are supported by ShapeScript itself, they may confuse the syntax highlighting in whichever editor you are using. Don't be alarmed if part of the comment appears in the wrong color. --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/1.6.3/ios/control-flow.md000066400000000000000000000111131450355336000211670ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your scene might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/1.6.3/ios/csg.md000066400000000000000000000075621450355336000173330ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The shape on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../../images/group-vs-difference.png) The subtracted shape is removed from the result, but leaves an impression in the shape it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque shape the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The shape on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The shape on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a shape. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/1.6.3/ios/debugging.md000066400000000000000000000053001450355336000204760ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/1.6.3/ios/examples.md000066400000000000000000000035351450355336000203710ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../../images/earth.png) ## Spirals The Spirals example demonstrates using the [extrude](builders.md#extrude) command to create a spiral. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spirals](../../images/spirals.png) ## Spring The Spring example demonstrates how to use the [loft](builders.md#loft) command and a [for loop](control-flow.md#loops) to create a coiled spring shape. ![Spring](../../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.3/ios/export.md000066400000000000000000000125341450355336000200730ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D scene, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript Mac App](https://apps.apple.com/app/id1441135869). Export is not available in the free ShapesScript Viewer for Mac and iOS.** To export your scene, select the `File > Purchase Export Feature…` menu (**Cmd-Shift-E**) to unlock the export functionality. Once unlocked, this menu will change to `Export…`. **Note:** If the `Export…` menu is grayed-out, it is most likely because your scene is still loading. Wait for the loading spinner in the top-left of the ShapeScript document window to finish before trying to export. ![Loading](../../images/loading.png) ## Export Formats ShapeScript can export your scene in a variety of model formats, selectable from the export window: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
**Note:** Not all formats support all features of ShapeScript scenes, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## Games and AR Models exported from ShapeScript are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use USD(Z) files with Apple's SceneKit and RealityKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in Stereolithography (STL) format, used by many 3D printing applications. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript scenes use the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the export window to export your model in this orientation. ## Image Formats In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ gif | Graphics Interchange Format | Yes png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No jpf / jp2 | JPEG 2000 | Yes tif / tiff | Tagged Image File Format | Yes bmp | Bitmap | No
If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. The size of the exported image defaults to the current window size and display resolution. You can override this size by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions): Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a [ray tracing](https://en.wikipedia.org/wiki/Ray_tracing_(graphics)) program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/1.6.3/ios/expressions.md000066400000000000000000000174631450355336000211420ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value % | modulo | Remainder of dividing the left value by the right value
Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison In addition to the standard arithmetic operators, ShapeScript also has equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else). The following infix comparison operators are supported: Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
**Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Boolean Algebra In addition to the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members There are currently no vector or matrix math operators such as dot product or vector addition, but these are mostly not needed in practice due to the [relative transform](transforms.md#relative-transforms) commands. It is however possible to use vector, size, rotation or [color](materials.md#color) values in expressions by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For strings, you can use the `lines`, `words` and `characters` members: ```swift define sentence "The quick brown fox" for word in sentence { print word // prints each word on a new line } ``` For [meshes](meshes.md) you can access the `name`, `bounds` and `polygons` members, and for [polygons](meshes.md#polygons-and-points) you can use `points` to access the individual vertices. For points you can access the `position` and `color`: ```swift define triangle polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Print the vertex colors for point in triangle.points { print "position: " point.position ", color: " point.color } ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/1.6.3/ios/functions.md000066400000000000000000000176141450355336000205660ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two or more values: ```swift min 2 4 // returns 2 min 5 0 -5.1 // returns -5.1 ``` The `max` function returns the higher of two or more values: ```swift max 2 4 // returns 4 max 5 0 -5.1 // returns 5 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry is ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript half-turn value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript half-turn value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :---------------------| :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to half-turns | halfturns = degrees / 180 Half-turns to degrees | degrees = halfturns * 180 Radians to half-turns | halfturns = degrees / pi Half-turns to radians | radians = halfturns * pi
Common values: Angle in degrees | Angle in radians | Angle in half-turns :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
## Strings ShapeScript includes a number of functions for manipulating strings. The `join` function concatenates two or more strings together, with an optional separator: ```swift define words "Hello" "World!" define greeting join words ", " print greeting // prints "Hello, World!" ``` If you don't want a delimiter, just pass an empty string as the second argument to join: ```swift define words "Hello" "World!" define greeting join(words "") print greeting // prints "HelloWorld!" ``` The `split` function breaks a string up into a tuple of substrings by splitting it at a specified delimiter: ```swift define input "comma,delimited,string" define elements split input "," print elements.second // prints "delimited" ``` The `trim` function removes any leading or trailing [white space](https://en.wikipedia.org/wiki/Whitespace_character) characters from a string: ```swift define input "comma, delimited , string,with ,spaces" define elements split input "," print elements.second // prints " delimited " print trim elements.second // prints just "delimited" without spaces ``` ## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/1.6.3/ios/getting-started.md000066400000000000000000000177401450355336000216630ustar00rootroot00000000000000Getting Started --- ShapeScript Viewer for iOS is designed for opening and editing 3D models and scenes that use the ShapeScript `.shape` file format. If you do not have any existing ShapeScript files, you can create one using the `+` button. You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. ![New file modal](../../images/new-file-ios.png) After pressing OK you should see a new screen appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../../images/new-document-ios-1.6.3.png) ## Viewing Drag your finger inside the window and you will notice that the three shapes appear to rotate. You are not actually moving the shapes themselves, but rotating the camera around them. To return to the original orientation, tap the camera icon in the top-right and select `Reset View`. To help you orient yourself, you can enable the `Show Axes` option in the camera menu, which displays the direction of the X, Y and Z axes. ![Show axes](../../images/show-axes-ios-1.6.3.png) For more information about navigating around the scene, see [Camera Control](camera-control.md). ## Editing To edit your `.shape` file, tap the pencil icon in the top-right of the screen. This will open the file inside the integrated source editor: ![Integrated source editor](../../images/source-editor-ios.png) Changes made to the model in the source editor will be reflected immediately in the scene (although you may need to close the source view to see them!). In addition to the built-in editor, ShapeScript also supports the use of external text editors such as [Runestone](https://apps.apple.com/app/runestone-text-editor/id1548193893) or [Subtext](https://apps.apple.com/app/subtext/id1606625287). ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Runestone) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. If you are using an iPad, you can use the [Split View](https://support.apple.com/en-gb/guide/ipad/ipad08c9970c/ipados) feature to show both ShapeScript Viewer and your text editor app on screen simultaneously: ![Split View](../../images/split-view-ios-1.6.3.png) **Note:** Not all iOS text editors support *live editing* (where changes in the text are reflected automatically in ShapeScript as you make them). You may find you have to explicitly save or close the document in your editor for changes to take effect. External editors may also not immediately pick up changes you make using the built-in source editor, so be careful when switching between them. ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. The shapes are made out of flat polygons, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many polygons will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your scene so that you avoid having to work with very large numbers (thousands of units), or very small ones (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assumed to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../../images/yellow-cube-ios-1.6.3.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../../images/error-screen-ios-1.6.3.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use undo feature in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection To get information about your scene (such as polygon count and overall dimensions), tap the info button in the top-right corder of the screen. To get info about a particular shape in the scene, tap on it in the viewer to select it then press the info button. This will also tell you which line in the `.shape` file defines that component. Tap outside of the shape to deselect it again. ![Object info](../../images/object-info-ios-1.6.3.png) **Note:** If you are having trouble identifying a particular shape from your `.shape` file, you can use the [debug command](debugging.md) to highlight it in the viewer. --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/1.6.3/ios/glossary.md000066400000000000000000000032301450355336000204060ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Half-turn | The unit used to specify angles or rotations in ShapeScript Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/1.6.3/ios/groups.md000066400000000000000000000025161450355336000200700ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs, etc. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [options](options.md) (material, detail, etc.) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the position of subsequent shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../../images/group.png) **Note:** Changes made to properties such as transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/1.6.3/ios/import.md000066400000000000000000000056301450355336000200630ustar00rootroot00000000000000Import --- ## Scripts ShapeScript files can get quite large for complicated scenes, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` Here we've used `import` to load an external ShapeScript file and evaluate it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Models The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. ## Text and Data In addition to scripts and standard model formats, text files can be imported as a [string](literals.md#strings) value. ```swift define data { import "Text.txt" } ``` Imported strings can then be displayed directly, or further processed using ShapeScript's [string functions](functions.md#strings): ```swift for line in text.lines { print (trim line) } ``` As well as plain text, ShapeScript also supports importing JSON files as [structured data](literals.md#structured-data): ```swift define data { import "Data.json" } ``` ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](examples.md) ShapeScript-1.6.14/docs/1.6.3/ios/index.md000066400000000000000000000150531450355336000176600ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Viewing](getting-started.md#viewing) - [Editing](getting-started.md#editing) - [File Structure](getting-started.md#file-structure) - [Next Steps](getting-started.md#next-steps) - [Debugging and Selection](getting-started.md#debugging-and-selection) - [Camera Control](camera-control.md) - [Camera Selection](camera-control.md#camera-selection) - [Mouse Control](camera-control.md#mouse-control) - [Trackpad Control](camera-control.md#trackpad-control) - [Copy Settings](camera-control.md#copy-settings) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Meshes](meshes.md) - [Polygons and Points](meshes.md#polygons-and-points) - [Watertightness](meshes.md#watertightness) - [Winding order](meshes.md#winding-order) - [Procedural Meshes](meshes.md#procedural-meshes) - [Concave and Non-planar Polygons](meshes.md#concave-and-non-planar-polygons) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Hull](builders.md#hull) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Groups](groups.md) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Block Comments](comments.md#block-comments) - [Nested Comments](comments.md#nested-comments) - [Literals](literals.md) - [Strings](literals.md#strings) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Trigonometry](functions.md#trigonometry) - [Strings](functions.md#strings) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Import](commands.md#import) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Scripts](import.md#scripts) - [Models](import.md#models) - [Text and Data](import.md#text-and-data) - [Dynamic Imports](import.md#dynamic-imports) - [Examples](examples.md) - [Ball](examples.md#ball) - [Chessboard](examples.md#chessboard) - [Cog](examples.md#cog) - [Earth](examples.md#earth) - [Spirals](examples.md#spirals) - [Spring](examples.md#spring) - [Train](examples.md#train) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.3/ios/lights.md000066400000000000000000000130111450355336000200330ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a scene for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/1.6.3/ios/literals.md000066400000000000000000000135021450355336000203650ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a decimal literal false // a boolean literal "hello" // a string literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` ## Strings Strings are how human-readable text is represented in ShapeScript. These are used for a variety of purposes, including specifying file names for [imports](import.md) or [textures](materials.md#texture), [logging](debugging.md#logging) debug information to the console, or even rendering 3D text. String literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. If you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a string literal without a closing `"` is treated as an error, so if you need to include line-breaks in your string then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the string. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). A tuple of numeric values is also known as a *vector*. Vectors are used in ShapeScript to represent positions, colors, sizes and rotations. Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` You can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers. They can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, ... `last`) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.count // 3 print data.first // name print data.second // position print data.last // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` You can split up lists of data using the `allButFirst` and `allButLast` members: ```swift define data (1 2 3 4 5) print data.allButFirst // 2 3 4 5 print data.allButLast // 1 2 3 4 ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/1.6.3/ios/materials.md000066400000000000000000000223241450355336000205310ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using [string interpolation](text.md#interpolation), which is useful if you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` As with `color`, once a texture has been set it will be applied to all subsequent shapes defined in the same [scope](scope.md). To clear the current texture you can set it to an empty string: ```swift texture "" ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../../images/sandbox-error-ios-1.6.3.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is applied depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../../images/textured-cube.png) ![Textured sphere](../../images/textured-sphere.png) ![Textured cylinder](../../images/textured-cylinder.png) ![Textured cone](../../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/1.6.3/ios/meshes.md000066400000000000000000000141021450355336000200270ustar00rootroot00000000000000Meshes --- While they may appear solid, the 3D shapes that ShapeScript produces are actually hollow shells composed of polygons. These polygon shells are known as [meshes](https://en.wikipedia.org/wiki/Polygon_mesh). ShapeScript provides many tools for constructing meshes, including [primitives](primitives.md), [builders](builders.md) and [CSG](csg.md) operations, but you can also create meshes manually by specifying each polygon yourself. While this is generally a tedious approach compared to the other tools, it affords you complete control over the mesh topology, and allows you to create arbitrary shapes that might be hard to achieve with higher-level tools. ## Polygons and Points A mesh is made up of one or more *polygons*, and each polygon is made up of three or more [vertices](https://en.wikipedia.org/wiki/Vertex_(geometry)) or *points*. To construct a mesh you use the `mesh`, `polygon` and `point` commands. The following code defines the simplest possible mesh - a single triangle: ```swift mesh { polygon { point 0 0 point 1 0 point 1 1 } } ``` ![Triangle](../../images/triangle-polygon.png) The `point` command accepts a [vector](literals.md#vectors-and-tuples) value. Polygons can be placed anywhere in three-dimensional space, so `point` accepts up to three values (for the X, Y and Z coordinates respectively). In this case we've just specified two values, so the Z coordinate defaults to zero. Manually constructed meshes do not currently support textures, but they inherit the current [material color](materials.md#color). Color can also be applied separately to individual vertices within a mesh. When vertices of a given polygon have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift mesh { polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } } ``` ![Colored triangle](../../images/colored-triangle.png) ## Watertightness If you rotate the triangle you will see that the back face is invisible. Most of the mesh-construction commands in ShapeScript produce shapes that are *watertight*, meaning that they do not contain any holes that would allow you to see the back faces of the polygon surface, but when you create a mesh using the `mesh` command it's up to you to ensure that the mesh you create is watertight. You can check this by selecting the mesh in the editor and [getting info](getting-started.md#debugging-and-selection). As you can see, our triangle is not watertight: ![Not watertight](../../images/not-watertight.png) Watertightness is an important quality when using [CSG](csg.md) operations, because the "solid" in Constructive Solid Geometry implies that shapes are expected to behave like solid objects (even though they are actually hollow), and holes or exposed back faces will cause glitches as ShapeScript is unable to determine whether a given point lies inside or outside the shape. To solve this, we can add another triangle with the same vertices but facing the opposite direction. But wait - we never specified the direction of the triangle face in the first place, so how does ShapeScript decide which way a polygon is facing? ## Winding order By convention, polygons in ShapeScript are assumed to be defined with [counterclockwise](https://en.wikipedia.org/wiki/Counterclockwise) (aka *anticlockwise*) winding. What that means is that when looking at the polygon from the front, the vertices will be ordered in counterclockwise direction. To add a back face we'll create a second triangle with the inverse vertex order: ```swift mesh { // Front polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Back polygon { point 1 1 point 1 0 point 0 0 } } ``` (We've left the back face white in this case, so you can tell which side is which). If you get info again you'll see that the triangle is now watertight: ## Procedural Meshes We've learned how to make a triangle, but what about something a bit more complex? For our next trick we're going to create a cube. A cube has six faces, each consisting of four vertices - 24 vertices in total. But in fact there are really only eight unique vertices, so rather than tediously typing out the same points over and over, maybe we can use the power of scripting to save ourselves some effort? First we'll define a [block](blocks.md) called "side" that creates a single side of the cube: ```swift define side { color rnd rnd rnd polygon { point -0.5 -0.5 0.5 point +0.5 -0.5 0.5 point +0.5 +0.5 0.5 point -0.5 +0.5 0.5 } } ``` Note that the `color rnd rnd rnd` - this will produce a different random color each time the block is called, making the cube a little more interesting to look at. Next we'll call `side` block six times from inside a `mesh`, passing a different orientation each time: ```swift mesh { side { orientation 0 } side { orientation 0 0.5 } side { orientation 0 1 } side { orientation 0 1.5 } side { orientation 0 0 0.5 } side { orientation 0 0 -0.5 } } ``` And voila! A colored cube: ![Cube mesh](../../images/cube-mesh.png) Obviously this is a lot more trouble than just using the [cube](primitives.md#cube) command, but hopefully you can see the potential for creating more interesting shapes. ## Concave and Non-planar Polygons In many 3D engines, meshes must be constructed exclusively from triangles. The reason for this is that by definition a triangle is always both [convex](https://en.wikipedia.org/wiki/Convex_polygon) and *planar*, meaning that all its vertices lie on the same plane, which simplifies the mathematics needed to [rasterize](https://en.wikipedia.org/wiki/Rasterisation) or render the mesh. ShapeScript places no such restrictions on the polygons that you define in your mesh. Non-planar or non-convex polygons will be automatically split into their constituent triangles as needed for [export](export.md) or display. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/1.6.3/ios/options.md000066400000000000000000000134171450355336000202460ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a texture value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name can be useful for identifying distinct shape components when [selecting them](getting-started.md#debugging-and-selection) in the viewer, or when importing a model exported from ShapeScript into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a mesh that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/1.6.3/ios/paths.md000066400000000000000000000176331450355336000176760ustar00rootroot00000000000000Paths --- A path is a sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a scene (except possibly for something like a thin rope or antenna), but they can be used to define the contours of a 3D shape (see [builders](builders.md) for details). ## Points As with the [polygons](meshes.md#polygons-and-points) in a mesh, you define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be three-dimensional, so `point` accepts up to three coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of zero). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point must have the same position. The following path has four points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves in ShapeScript are created using [quadratic Béziers curves](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. Just as [3D meshes](meshes.md) are constructed from flat polygons, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift detail 99 path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../../images/octocircle.png) ## Circles There is actually an easier way to create a circular path, which is to use the `circle` command: ```swift circle ``` The result of calling `circle` is visually almost indistinguishable from the Bézier-based solution above (at a sufficiently high detail level), but you don't have to worry about calculating the positions of the control points. Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../../images/roundrect.png) ## Regular Polygons When used outside of a `mesh`, the `polygon` command can be used to create a regular polygon. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/1.6.3/ios/primitives.md000066400000000000000000000053271450355336000207470ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct a scene. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) or [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of polygons, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/1.6.3/ios/scope.md000066400000000000000000000035651450355336000176670ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines subcomponents in your scene can use transforms and materials internally without them "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/1.6.3/ios/symbols.md000066400000000000000000000052541450355336000202430ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/1.6.3/ios/text.md000066400000000000000000000163701450355336000175400ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [string interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use string interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty string literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% text "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% text "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [string interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/1.6.3/ios/transforms.md000066400000000000000000000147101450355336000207460ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)). This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. For example the following code applies a pitch of 45 degrees followed by a roll of 80 degrees, which would be very difficult to express as a single `rotate` or `orientation` instruction due to the fixed roll-yaw-pitch order: ```swift rotate 0 0 0.25 // pitch 45 degrees rotate 0.4 0 0 // roll 80 degrees cube ``` --- [Index](index.md) | Next: [Bounds](bounds.md) ShapeScript-1.6.14/docs/1.6.3/mac/000077500000000000000000000000001450355336000161715ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.3/mac/blocks.md000066400000000000000000000047461450355336000200030ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/1.6.3/mac/bounds.md000066400000000000000000000056521450355336000200150ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needed to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Meshes](meshes.md) ShapeScript-1.6.14/docs/1.6.3/mac/builders.md000066400000000000000000000215161450355336000203310ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D shape: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units polygon { sides 3 } } ``` ![Prism](../../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../../images/roundrect-extrusion.png) In the following example, we extrude a square cross-section along a 3D path: ```swift define shape path { orientation 0 0 -0.4 curve 0 1 0.75 curve -1 0 curve 0 -1 0.25 curve 1 0 curve 1 1 curve 0 1 0.75 } extrude { square { size 0.1 } along shape } ``` ![Tangential extrusion](../../images/tangential-extrusion.png) Note how the cross-section tilts as it follows the path. This can be a nice effect, but you might prefer that the cross section remains perpendicular to the world axes. To control this, you can use the `axisAligned` property: ```swift extrude { square { size 0.1 } along shape axisAligned true } ``` ![Axis-aligned extrusion](../../images/axis-aligned-extrusion.png) A value of `true` for `axisAligned` means the cross section will remain perpendicular to the path, which in some cases may cause the shape to look "pinched". A value of `false` means the cross-section is always aligned to the tangent of the path, which ensures consistent thickness at the cost of inconsistent orientation. If the `axisAligned` property is omitted, ShapeScript will try to choose an appropriate alignment for the path provided to `along`. To apply a twist along the length of an extruded shape, you can use the `twist` property: ```swift extrude { square twist 0.5 } ``` ![Twisted extrusion](../../images/twisted-extrusion.png) Twist uses the same [half-turn](transforms.md#orientation) units as the other rotation commands, so a twist of 0.5 equates to one quarter turn, or 90 degrees. Applying a twist will automatically increase the number of cross sections in proportion to the current [detail](options.md#detail) level to prevent distortion: ![Twisted extrusion wireframe](../../images/twisted-extrusion-wireframe.png) You can combine `twist` with the `along` property to twist a curved path: ```swift extrude { square { size 0.2 } along circle twist 2 } ``` ![Twisted circle](../../images/twisted-circle.png) **Note:** when extruding along a closed path, you should always use a multiple of `2` (i.e. a full rotation) for the `twist` value to avoid an ugly seam: ![Twisted circle seam](../../images/twisted-circle-seam.png) ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 polygon { sides 3 } translate 0 0 2 // triangle 2 polygon { sides 3 } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../../images/loftshape.png) ## Hull The `hull` command works a bit like `loft`, in that it joins together multiple paths to form a solid surface. Here is the `loft` shape above, implemented using `hull`: ```swift hull { square translate 0 0 1 circle } ``` ![Hull shape](../../images/loftshape.png) So if `hull` and `loft` are the same, why have a separate command? The difference is that rather than joining sections together in a tube, `hull` forms a tight *skin* around the outside of all its child shapes, known as a [convex hull](https://en.wikipedia.org/wiki/Convex_hull). To illustrate the difference, here is the `hull` of a star shape, vs a `loft` of the same shape: ![Hull shape](../../images/hull-vs-loft.png) But the real power of the `hull` command is that it's not limited to operating on paths. Unlike the other builders, you can create a hull around meshes, paths, points, or any combination. For example, here is a hull formed from a cylinder and a point: ```swift hull { cylinder point 1 0 0 } ``` ![Hull shape](../../images/hull.png) This allows for a lot of interesting shapes that would be hard to create using the other commands. You might notice some odd stripes on the surface near the lip of the cylinder. As you may recall from the [detail](options.md#detail) section, curved surfaces in ShapeScript are actually formed from straight-edged polygons, with lighting used to make them appear smooth. When creating a hull from different shapes, the resultant [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) aren't always what you'd expect, which can result in lighting glitches like this. In some cases you can use the [smoothing](options.md#smoothing) command to smooth out these discrepancies, like so: ```swift smoothing 0.25 ``` ![Hull shape](../../images/smoothed-hull.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/1.6.3/mac/camera-control.md000066400000000000000000000037201450355336000214230ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled via a mouse or trackpad. The camera is not part of the file itself, and moving it will not change the file in any way. ## Camera Selection By default, the camera is positioned along the Z axis, looking down at the scene. The distance of the camera from the origin is set automatically based on the bounding sphere of the scene. You can choose a different camera angle from the `View > Camera` menu. [Custom cameras](cameras.md#custom-cameras) can be defined programatically. To reset the current camera to its default position, select the `View > Camera > Reset` menu, or press **Cmd-0** on the keyboard. ## Mouse Control **Note:** The instructions below assume the use of an Apple Magic Mouse. Controls for other mice may differ. Motion | Action :--------------------------- | :-------------------------- Rotate scene | Hold the mouse button and drag Pan up/down/left/right | Either swipe the mouse surface with one finger, or hold Shift + mouse button and drag Zoom in and out | Hold Shift, then swipe up or down on the mouse surface with one finger
## Trackpad Control Motion | Action :--------------------------- | :-------------------------- Rotate scene | Click and drag with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Either pinch, or hold Shift + swipe up or down with two fingers Roll | Pinch, then rotate fingers
## Copy Settings To copy the configuration for the current camera view, select `View > Copy Camera Settings`, or press **Cmd-Shift-C** on the keyboard. This will copy a snippet of ShapeScript code that you can paste into your `.shape` file to define a [custom camera](cameras.md#custom-cameras). --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/1.6.3/mac/cameras.md000066400000000000000000000123331450355336000201300ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your scene from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../../images/custom-camera-menu.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#image-formats): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/1.6.3/mac/commands.md000066400000000000000000000145701450355336000203230ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the shape, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#image-formats). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your scene is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. ## Import The `import` command is used to import an external ShapeScript or 3D geometry file. For more details on how this is used, see the [import](import.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/1.6.3/mac/comments.md000066400000000000000000000036061450355336000203450ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a scene. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. ## Block Comments Another way to disable a large chunk of code at once is to use a *block comment*. Block comments begin with `/*` and end with `*/`. Anything between these delimiters is considered part of the comment, even if they span multiple lines: ```swift /* // this code is disabled fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } */ ``` Block comments can also be useful if you want to place a comment in the middle of a line, for example: ```swift define a(b c d) { b /* + c */ + d } ``` Here we've excluded the `c` parameter from the result, however the code both before and after the comment is unaffected. ## Nested Comments Unlike some other languages, ShapeScript allows block comments to be nested inside each other. This is useful if you want to comment out some code that already contains comments: ```swift /* define foo { option bar 3 /* option baz 5 */ // return bar print bar } */ ``` **Note:** although nested comments are supported by ShapeScript itself, they may confuse the syntax highlighting in whichever editor you are using. Don't be alarmed if part of the comment appears in the wrong color. --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/1.6.3/mac/control-flow.md000066400000000000000000000111131450355336000211350ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your scene might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/1.6.3/mac/csg.md000066400000000000000000000075621450355336000173010ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The shape on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../../images/group-vs-difference.png) The subtracted shape is removed from the result, but leaves an impression in the shape it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque shape the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The shape on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The shape on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a shape. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/1.6.3/mac/debugging.md000066400000000000000000000053001450355336000204440ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/1.6.3/mac/examples.md000066400000000000000000000035351450355336000203370ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../../images/earth.png) ## Spirals The Spirals example demonstrates using the [extrude](builders.md#extrude) command to create a spiral. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spirals](../../images/spirals.png) ## Spring The Spring example demonstrates how to use the [loft](builders.md#loft) command and a [for loop](control-flow.md#loops) to create a coiled spring shape. ![Spring](../../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.3/mac/export.md000066400000000000000000000125341450355336000200410ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D scene, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript Mac App](https://apps.apple.com/app/id1441135869). Export is not available in the free ShapesScript Viewer for Mac and iOS.** To export your scene, select the `File > Purchase Export Feature…` menu (**Cmd-Shift-E**) to unlock the export functionality. Once unlocked, this menu will change to `Export…`. **Note:** If the `Export…` menu is grayed-out, it is most likely because your scene is still loading. Wait for the loading spinner in the top-left of the ShapeScript document window to finish before trying to export. ![Loading](../../images/loading.png) ## Export Formats ShapeScript can export your scene in a variety of model formats, selectable from the export window: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
**Note:** Not all formats support all features of ShapeScript scenes, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## Games and AR Models exported from ShapeScript are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use USD(Z) files with Apple's SceneKit and RealityKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in Stereolithography (STL) format, used by many 3D printing applications. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript scenes use the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the export window to export your model in this orientation. ## Image Formats In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ gif | Graphics Interchange Format | Yes png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No jpf / jp2 | JPEG 2000 | Yes tif / tiff | Tagged Image File Format | Yes bmp | Bitmap | No
If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. The size of the exported image defaults to the current window size and display resolution. You can override this size by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions): Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a [ray tracing](https://en.wikipedia.org/wiki/Ray_tracing_(graphics)) program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/1.6.3/mac/expressions.md000066400000000000000000000174631450355336000211100ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value % | modulo | Remainder of dividing the left value by the right value
Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison In addition to the standard arithmetic operators, ShapeScript also has equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else). The following infix comparison operators are supported: Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
**Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Boolean Algebra In addition to the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members There are currently no vector or matrix math operators such as dot product or vector addition, but these are mostly not needed in practice due to the [relative transform](transforms.md#relative-transforms) commands. It is however possible to use vector, size, rotation or [color](materials.md#color) values in expressions by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For strings, you can use the `lines`, `words` and `characters` members: ```swift define sentence "The quick brown fox" for word in sentence { print word // prints each word on a new line } ``` For [meshes](meshes.md) you can access the `name`, `bounds` and `polygons` members, and for [polygons](meshes.md#polygons-and-points) you can use `points` to access the individual vertices. For points you can access the `position` and `color`: ```swift define triangle polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Print the vertex colors for point in triangle.points { print "position: " point.position ", color: " point.color } ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/1.6.3/mac/functions.md000066400000000000000000000176141450355336000205340ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two or more values: ```swift min 2 4 // returns 2 min 5 0 -5.1 // returns -5.1 ``` The `max` function returns the higher of two or more values: ```swift max 2 4 // returns 4 max 5 0 -5.1 // returns 5 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry is ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript half-turn value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript half-turn value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :---------------------| :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to half-turns | halfturns = degrees / 180 Half-turns to degrees | degrees = halfturns * 180 Radians to half-turns | halfturns = degrees / pi Half-turns to radians | radians = halfturns * pi
Common values: Angle in degrees | Angle in radians | Angle in half-turns :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
## Strings ShapeScript includes a number of functions for manipulating strings. The `join` function concatenates two or more strings together, with an optional separator: ```swift define words "Hello" "World!" define greeting join words ", " print greeting // prints "Hello, World!" ``` If you don't want a delimiter, just pass an empty string as the second argument to join: ```swift define words "Hello" "World!" define greeting join(words "") print greeting // prints "HelloWorld!" ``` The `split` function breaks a string up into a tuple of substrings by splitting it at a specified delimiter: ```swift define input "comma,delimited,string" define elements split input "," print elements.second // prints "delimited" ``` The `trim` function removes any leading or trailing [white space](https://en.wikipedia.org/wiki/Whitespace_character) characters from a string: ```swift define input "comma, delimited , string,with ,spaces" define elements split input "," print elements.second // prints " delimited " print trim elements.second // prints just "delimited" without spaces ``` ## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/1.6.3/mac/getting-started.md000066400000000000000000000202541450355336000216230ustar00rootroot00000000000000Getting Started --- Start by creating a new ShapeScript document. You can do this by selecting `File > New` in the menu bar (or by pressing **Cmd-N** on the keyboard). You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. **Note:** If you cannot see the file prompt, check that it hasn't appeared *behind* this help window. The help window floats in front of all other windows and applications, so you may need to move it out of the way. You should see a new window appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../../images/new-document-mac.png) ## Viewing Drag your mouse cursor inside the window and you will notice that the three objects appear to rotate. You are not actually moving the shapes themselves, but rotating the camera around them. To reset the view, select `View > Camera > Reset` or press **Cmd-0**. To help you orient yourself, you can use the `View > Show Axes` option, which displays the direction of the X, Y and Z axes. ![Show axes](../../images/show-axes-mac.png) For more information about navigating around the model, see [Camera Control](camera-control.md). ## Editing To edit the 3D model, select the `Edit > Open in Editor` menu or press **Cmd-E**. ShapeScript does not include an editor. Instead, the `Open in Editor` command will ask you to select an external text editor to use. If you do not have any other editors installed, the default option will probably be TextEdit. Once opened, the file should look something like this: ![TextEdit window](../../images/textedit-mac.png) ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. TextEdit will work, but is probably not the best choice as it does not support syntax coloring or any of the other programmer-friendly features of modern editors. If you have a more advanced editor such as [SubEthaEdit](https://subethaedit.net), [TextMate](https://macromates.com), [Sublime Text](https://www.sublimetext.com) or [Atom](https://atom.io) then it would be better to use one of these. An Integrated Development Environment (IDE) such as [Xcode](https://developer.apple.com/xcode/) is also a good option. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Xcode) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. ShapeScript will only ask you which editor you want to use the *first* time you edit a file, then it will remember your choice. If you change your mind later, you can select a different editor in Preferences (select the `ShapeScript > Preferences…` menu or press **Cmd-,**). ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. ShapeScript models are made out of flat polygons, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many polygons will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your models so that you avoid having to work with very large scales (thousands of units), or very small scales (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assumed to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../../images/yellow-cube-mac.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../../images/error-screen-mac.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use the `Edit > Undo` menu in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection You can get information about your scene (such as polygon count and overall dimensions) by selecting `View > Scene Info` (**Cmd-I**) in the menu bar. To get info about a particular shape in the scene, click on it in the viewer to select it, then use `View > Model Info` (**Cmd-I**) to get info on just the selected part. This will also tell you which line in the `.shape` file defines that component. Click outside of the shape, or press **Escape** to deselect it again. ![Object info](../../images/object-info-mac.png) You can also use the `Edit > Select Shape` menu to select from a list of shapes in the scene, or cycle between selected shapes using the **Tab** key. **Note:** If you are having trouble identifying a particular shape from your `.shape` file, you can use the [debug command](debugging.md) to highlight it in the viewer. --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/1.6.3/mac/glossary.md000066400000000000000000000032301450355336000203540ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Half-turn | The unit used to specify angles or rotations in ShapeScript Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/1.6.3/mac/groups.md000066400000000000000000000025161450355336000200360ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs, etc. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [options](options.md) (material, detail, etc.) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the position of subsequent shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../../images/group.png) **Note:** Changes made to properties such as transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/1.6.3/mac/import.md000066400000000000000000000056261450355336000200360ustar00rootroot00000000000000Import --- ## Scripts ShapeScript files can get quite large for complicated scenes, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` Here we've used `import` to load an external ShapeScript file and evaluate it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Models The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. ## Text and Data In addition to scripts and standard model formats, text files can be imported as a [string](literals.md#strings) value. ```swift define data { import "Text.txt" } ``` Imported strings can then be displayed directly, or further processed using ShapeScript's [string functions](functions.md#strings): ```swift for line in text.lines { print (trim line) } ``` As well as plain text, ShapeScript also supports importing JSON files as [structured data](literals.md#structured-data): ```swift define data { import "Data.json" } ``` ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](export.md) ShapeScript-1.6.14/docs/1.6.3/mac/index.md000066400000000000000000000153711450355336000176310ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Viewing](getting-started.md#viewing) - [Editing](getting-started.md#editing) - [File Structure](getting-started.md#file-structure) - [Next Steps](getting-started.md#next-steps) - [Debugging and Selection](getting-started.md#debugging-and-selection) - [Camera Control](camera-control.md) - [Camera Selection](camera-control.md#camera-selection) - [Mouse Control](camera-control.md#mouse-control) - [Trackpad Control](camera-control.md#trackpad-control) - [Copy Settings](camera-control.md#copy-settings) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Meshes](meshes.md) - [Polygons and Points](meshes.md#polygons-and-points) - [Watertightness](meshes.md#watertightness) - [Winding order](meshes.md#winding-order) - [Procedural Meshes](meshes.md#procedural-meshes) - [Concave and Non-planar Polygons](meshes.md#concave-and-non-planar-polygons) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Hull](builders.md#hull) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Groups](groups.md) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Block Comments](comments.md#block-comments) - [Nested Comments](comments.md#nested-comments) - [Literals](literals.md) - [Strings](literals.md#strings) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Trigonometry](functions.md#trigonometry) - [Strings](functions.md#strings) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Import](commands.md#import) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Scripts](import.md#scripts) - [Models](import.md#models) - [Text and Data](import.md#text-and-data) - [Dynamic Imports](import.md#dynamic-imports) - [Export](export.md) - [Export Formats](export.md#export-formats) - [Games and AR](export.md#games-and-ar) - [3D Printing](export.md#3d-printing) - [Image Formats](export.md#image-formats) - [Examples](examples.md) - [Ball](examples.md#ball) - [Chessboard](examples.md#chessboard) - [Cog](examples.md#cog) - [Earth](examples.md#earth) - [Spirals](examples.md#spirals) - [Spring](examples.md#spring) - [Train](examples.md#train) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.3/mac/lights.md000066400000000000000000000130111450355336000200010ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a scene for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/1.6.3/mac/literals.md000066400000000000000000000135021450355336000203330ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a decimal literal false // a boolean literal "hello" // a string literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` ## Strings Strings are how human-readable text is represented in ShapeScript. These are used for a variety of purposes, including specifying file names for [imports](import.md) or [textures](materials.md#texture), [logging](debugging.md#logging) debug information to the console, or even rendering 3D text. String literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. If you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a string literal without a closing `"` is treated as an error, so if you need to include line-breaks in your string then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the string. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). A tuple of numeric values is also known as a *vector*. Vectors are used in ShapeScript to represent positions, colors, sizes and rotations. Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` You can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers. They can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, ... `last`) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.count // 3 print data.first // name print data.second // position print data.last // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` You can split up lists of data using the `allButFirst` and `allButLast` members: ```swift define data (1 2 3 4 5) print data.allButFirst // 2 3 4 5 print data.allButLast // 1 2 3 4 ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/1.6.3/mac/materials.md000066400000000000000000000223121450355336000204740ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using [string interpolation](text.md#interpolation), which is useful if you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` As with `color`, once a texture has been set it will be applied to all subsequent shapes defined in the same [scope](scope.md). To clear the current texture you can set it to an empty string: ```swift texture "" ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../../images/sandbox-error.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is applied depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../../images/textured-cube.png) ![Textured sphere](../../images/textured-sphere.png) ![Textured cylinder](../../images/textured-cylinder.png) ![Textured cone](../../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/1.6.3/mac/meshes.md000066400000000000000000000141021450355336000177750ustar00rootroot00000000000000Meshes --- While they may appear solid, the 3D shapes that ShapeScript produces are actually hollow shells composed of polygons. These polygon shells are known as [meshes](https://en.wikipedia.org/wiki/Polygon_mesh). ShapeScript provides many tools for constructing meshes, including [primitives](primitives.md), [builders](builders.md) and [CSG](csg.md) operations, but you can also create meshes manually by specifying each polygon yourself. While this is generally a tedious approach compared to the other tools, it affords you complete control over the mesh topology, and allows you to create arbitrary shapes that might be hard to achieve with higher-level tools. ## Polygons and Points A mesh is made up of one or more *polygons*, and each polygon is made up of three or more [vertices](https://en.wikipedia.org/wiki/Vertex_(geometry)) or *points*. To construct a mesh you use the `mesh`, `polygon` and `point` commands. The following code defines the simplest possible mesh - a single triangle: ```swift mesh { polygon { point 0 0 point 1 0 point 1 1 } } ``` ![Triangle](../../images/triangle-polygon.png) The `point` command accepts a [vector](literals.md#vectors-and-tuples) value. Polygons can be placed anywhere in three-dimensional space, so `point` accepts up to three values (for the X, Y and Z coordinates respectively). In this case we've just specified two values, so the Z coordinate defaults to zero. Manually constructed meshes do not currently support textures, but they inherit the current [material color](materials.md#color). Color can also be applied separately to individual vertices within a mesh. When vertices of a given polygon have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift mesh { polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } } ``` ![Colored triangle](../../images/colored-triangle.png) ## Watertightness If you rotate the triangle you will see that the back face is invisible. Most of the mesh-construction commands in ShapeScript produce shapes that are *watertight*, meaning that they do not contain any holes that would allow you to see the back faces of the polygon surface, but when you create a mesh using the `mesh` command it's up to you to ensure that the mesh you create is watertight. You can check this by selecting the mesh in the editor and [getting info](getting-started.md#debugging-and-selection). As you can see, our triangle is not watertight: ![Not watertight](../../images/not-watertight.png) Watertightness is an important quality when using [CSG](csg.md) operations, because the "solid" in Constructive Solid Geometry implies that shapes are expected to behave like solid objects (even though they are actually hollow), and holes or exposed back faces will cause glitches as ShapeScript is unable to determine whether a given point lies inside or outside the shape. To solve this, we can add another triangle with the same vertices but facing the opposite direction. But wait - we never specified the direction of the triangle face in the first place, so how does ShapeScript decide which way a polygon is facing? ## Winding order By convention, polygons in ShapeScript are assumed to be defined with [counterclockwise](https://en.wikipedia.org/wiki/Counterclockwise) (aka *anticlockwise*) winding. What that means is that when looking at the polygon from the front, the vertices will be ordered in counterclockwise direction. To add a back face we'll create a second triangle with the inverse vertex order: ```swift mesh { // Front polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Back polygon { point 1 1 point 1 0 point 0 0 } } ``` (We've left the back face white in this case, so you can tell which side is which). If you get info again you'll see that the triangle is now watertight: ## Procedural Meshes We've learned how to make a triangle, but what about something a bit more complex? For our next trick we're going to create a cube. A cube has six faces, each consisting of four vertices - 24 vertices in total. But in fact there are really only eight unique vertices, so rather than tediously typing out the same points over and over, maybe we can use the power of scripting to save ourselves some effort? First we'll define a [block](blocks.md) called "side" that creates a single side of the cube: ```swift define side { color rnd rnd rnd polygon { point -0.5 -0.5 0.5 point +0.5 -0.5 0.5 point +0.5 +0.5 0.5 point -0.5 +0.5 0.5 } } ``` Note that the `color rnd rnd rnd` - this will produce a different random color each time the block is called, making the cube a little more interesting to look at. Next we'll call `side` block six times from inside a `mesh`, passing a different orientation each time: ```swift mesh { side { orientation 0 } side { orientation 0 0.5 } side { orientation 0 1 } side { orientation 0 1.5 } side { orientation 0 0 0.5 } side { orientation 0 0 -0.5 } } ``` And voila! A colored cube: ![Cube mesh](../../images/cube-mesh.png) Obviously this is a lot more trouble than just using the [cube](primitives.md#cube) command, but hopefully you can see the potential for creating more interesting shapes. ## Concave and Non-planar Polygons In many 3D engines, meshes must be constructed exclusively from triangles. The reason for this is that by definition a triangle is always both [convex](https://en.wikipedia.org/wiki/Convex_polygon) and *planar*, meaning that all its vertices lie on the same plane, which simplifies the mathematics needed to [rasterize](https://en.wikipedia.org/wiki/Rasterisation) or render the mesh. ShapeScript places no such restrictions on the polygons that you define in your mesh. Non-planar or non-convex polygons will be automatically split into their constituent triangles as needed for [export](export.md) or display. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/1.6.3/mac/options.md000066400000000000000000000134171450355336000202140ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a texture value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name can be useful for identifying distinct shape components when [selecting them](getting-started.md#debugging-and-selection) in the viewer, or when importing a model exported from ShapeScript into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a mesh that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/1.6.3/mac/paths.md000066400000000000000000000176331450355336000176440ustar00rootroot00000000000000Paths --- A path is a sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a scene (except possibly for something like a thin rope or antenna), but they can be used to define the contours of a 3D shape (see [builders](builders.md) for details). ## Points As with the [polygons](meshes.md#polygons-and-points) in a mesh, you define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be three-dimensional, so `point` accepts up to three coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of zero). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point must have the same position. The following path has four points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves in ShapeScript are created using [quadratic Béziers curves](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. Just as [3D meshes](meshes.md) are constructed from flat polygons, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift detail 99 path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../../images/octocircle.png) ## Circles There is actually an easier way to create a circular path, which is to use the `circle` command: ```swift circle ``` The result of calling `circle` is visually almost indistinguishable from the Bézier-based solution above (at a sufficiently high detail level), but you don't have to worry about calculating the positions of the control points. Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../../images/roundrect.png) ## Regular Polygons When used outside of a `mesh`, the `polygon` command can be used to create a regular polygon. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/1.6.3/mac/primitives.md000066400000000000000000000053271450355336000207150ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct a scene. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) or [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of polygons, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/1.6.3/mac/scope.md000066400000000000000000000035651450355336000176350ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines subcomponents in your scene can use transforms and materials internally without them "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/1.6.3/mac/symbols.md000066400000000000000000000052541450355336000202110ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/1.6.3/mac/text.md000066400000000000000000000163701450355336000175060ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [string interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use string interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty string literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% text "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% text "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [string interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/1.6.3/mac/transforms.md000066400000000000000000000147101450355336000207140ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)). This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. For example the following code applies a pitch of 45 degrees followed by a roll of 80 degrees, which would be very difficult to express as a single `rotate` or `orientation` instruction due to the fixed roll-yaw-pitch order: ```swift rotate 0 0 0.25 // pitch 45 degrees rotate 0.4 0 0 // roll 80 degrees cube ``` --- [Index](index.md) | Next: [Bounds](bounds.md) ShapeScript-1.6.14/docs/1.6.40000777000000000000000000000000014503553360001574021.6.3ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.50000777000000000000000000000000014503553360001574121.6.3ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.60000777000000000000000000000000014503553360001574221.6.3ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.7/000077500000000000000000000000001450355336000154355ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.7/ios/000077500000000000000000000000001450355336000162275ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.7/ios/blocks.md000066400000000000000000000047461450355336000200410ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/1.6.7/ios/bounds.md000066400000000000000000000056521450355336000200530ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needed to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Meshes](meshes.md) ShapeScript-1.6.14/docs/1.6.7/ios/builders.md000066400000000000000000000215161450355336000203670ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D shape: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units polygon { sides 3 } } ``` ![Prism](../../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../../images/roundrect-extrusion.png) In the following example, we extrude a square cross-section along a 3D path: ```swift define shape path { orientation 0 0 -0.4 curve 0 1 0.75 curve -1 0 curve 0 -1 0.25 curve 1 0 curve 1 1 curve 0 1 0.75 } extrude { square { size 0.1 } along shape } ``` ![Tangential extrusion](../../images/tangential-extrusion.png) Note how the cross-section tilts as it follows the path. This can be a nice effect, but you might prefer that the cross section remains perpendicular to the world axes. To control this, you can use the `axisAligned` property: ```swift extrude { square { size 0.1 } along shape axisAligned true } ``` ![Axis-aligned extrusion](../../images/axis-aligned-extrusion.png) A value of `true` for `axisAligned` means the cross section will remain perpendicular to the path, which in some cases may cause the shape to look "pinched". A value of `false` means the cross-section is always aligned to the tangent of the path, which ensures consistent thickness at the cost of inconsistent orientation. If the `axisAligned` property is omitted, ShapeScript will try to choose an appropriate alignment for the path provided to `along`. To apply a twist along the length of an extruded shape, you can use the `twist` property: ```swift extrude { square twist 0.5 } ``` ![Twisted extrusion](../../images/twisted-extrusion.png) Twist uses the same [half-turn](transforms.md#orientation) units as the other rotation commands, so a twist of 0.5 equates to one quarter turn, or 90 degrees. Applying a twist will automatically increase the number of cross sections in proportion to the current [detail](options.md#detail) level to prevent distortion: ![Twisted extrusion wireframe](../../images/twisted-extrusion-wireframe.png) You can combine `twist` with the `along` property to twist a curved path: ```swift extrude { square { size 0.2 } along circle twist 2 } ``` ![Twisted circle](../../images/twisted-circle.png) **Note:** when extruding along a closed path, you should always use a multiple of `2` (i.e. a full rotation) for the `twist` value to avoid an ugly seam: ![Twisted circle seam](../../images/twisted-circle-seam.png) ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 polygon { sides 3 } translate 0 0 2 // triangle 2 polygon { sides 3 } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../../images/loftshape.png) ## Hull The `hull` command works a bit like `loft`, in that it joins together multiple paths to form a solid surface. Here is the `loft` shape above, implemented using `hull`: ```swift hull { square translate 0 0 1 circle } ``` ![Hull shape](../../images/loftshape.png) So if `hull` and `loft` are the same, why have a separate command? The difference is that rather than joining sections together in a tube, `hull` forms a tight *skin* around the outside of all its child shapes, known as a [convex hull](https://en.wikipedia.org/wiki/Convex_hull). To illustrate the difference, here is the `hull` of a star shape, vs a `loft` of the same shape: ![Hull shape](../../images/hull-vs-loft.png) But the real power of the `hull` command is that it's not limited to operating on paths. Unlike the other builders, you can create a hull around meshes, paths, points, or any combination. For example, here is a hull formed from a cylinder and a point: ```swift hull { cylinder point 1 0 0 } ``` ![Hull shape](../../images/hull.png) This allows for a lot of interesting shapes that would be hard to create using the other commands. You might notice some odd stripes on the surface near the lip of the cylinder. As you may recall from the [detail](options.md#detail) section, curved surfaces in ShapeScript are actually formed from straight-edged polygons, with lighting used to make them appear smooth. When creating a hull from different shapes, the resultant [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) aren't always what you'd expect, which can result in lighting glitches like this. In some cases you can use the [smoothing](options.md#smoothing) command to smooth out these discrepancies, like so: ```swift smoothing 0.25 ``` ![Hull shape](../../images/smoothed-hull.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/1.6.7/ios/camera-control.md000066400000000000000000000024761450355336000214700ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled via touch gestures. The camera is not part of the file itself, and moving it will not change the file in any way. ## Camera Selection By default, the camera is positioned along the Z axis, looking down at the scene. The distance of the camera from the origin is set automatically based on the bounding sphere of the scene. You can choose a different camera angle from the camera menu in the top right of the screen. [Custom cameras](cameras.md#custom-cameras) can be defined programatically. To reset the current camera to its default position, select `Reset View`. ## Touch Controls Motion | Action :--------------------------- | :-------------------------- Rotate scene | Swipe with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Pinch Roll | Pinch, then rotate fingers ## Copy Settings To copy the configuration for the current camera view, select `Copy Settings` from the camera menu. This will copy a snippet of ShapeScript code which you can then paste into your `.shape` file to define a [custom camera](cameras.md#custom-cameras). --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/1.6.7/ios/cameras.md000066400000000000000000000123451450355336000201710ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your scene from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../../images/custom-camera-menu-ios-1.6.4.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#image-formats): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/1.6.7/ios/commands.md000066400000000000000000000145701450355336000203610ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the shape, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#image-formats). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your scene is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. ## Import The `import` command is used to import an external ShapeScript or 3D geometry file. For more details on how this is used, see the [import](import.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/1.6.7/ios/comments.md000066400000000000000000000036061450355336000204030ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a scene. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. ## Block Comments Another way to disable a large chunk of code at once is to use a *block comment*. Block comments begin with `/*` and end with `*/`. Anything between these delimiters is considered part of the comment, even if they span multiple lines: ```swift /* // this code is disabled fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } */ ``` Block comments can also be useful if you want to place a comment in the middle of a line, for example: ```swift define a(b c d) { b /* + c */ + d } ``` Here we've excluded the `c` parameter from the result, however the code both before and after the comment is unaffected. ## Nested Comments Unlike some other languages, ShapeScript allows block comments to be nested inside each other. This is useful if you want to comment out some code that already contains comments: ```swift /* define foo { option bar 3 /* option baz 5 */ // return bar print bar } */ ``` **Note:** although nested comments are supported by ShapeScript itself, they may confuse the syntax highlighting in whichever editor you are using. Don't be alarmed if part of the comment appears in the wrong color. --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/1.6.7/ios/control-flow.md000066400000000000000000000111131450355336000211730ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your scene might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/1.6.7/ios/csg.md000066400000000000000000000075621450355336000173370ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The shape on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../../images/group-vs-difference.png) The subtracted shape is removed from the result, but leaves an impression in the shape it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque shape the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The shape on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The shape on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a shape. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/1.6.7/ios/debugging.md000066400000000000000000000053001450355336000205020ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/1.6.7/ios/examples.md000066400000000000000000000035351450355336000203750ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../../images/earth.png) ## Spirals The Spirals example demonstrates using the [extrude](builders.md#extrude) command to create a spiral. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spirals](../../images/spirals.png) ## Spring The Spring example demonstrates how to use the [loft](builders.md#loft) command and a [for loop](control-flow.md#loops) to create a coiled spring shape. ![Spring](../../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.7/ios/export.md000066400000000000000000000122731450355336000200770ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D scene, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript iOS App](https://apps.apple.com/app/id1606439346). Export is not available in the free ShapesScript Viewer.** To export your scene, select the export menu in the top-right of the window to unlock the export functionality. Once unlocked, this menu will display the export options. **Note:** If the `Export Image/Model` menu is grayed-out, it is most likely because your scene is still loading. Wait for the loading spinner in the top-left of the ShapeScript window to finish before trying to export. ![Loading](../../images/loading-ios.png) ## Export Formats ShapeScript can export your scene in a variety of model file formats, selectable from the export menu: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
**Note:** Not all formats support all features of ShapeScript scenes, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## Games and AR Models exported from ShapeScript are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use USD(Z) files with Apple's SceneKit and RealityKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in Stereolithography (STL) format, used by many 3D printing applications. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript scenes use the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the export menu to export your model in this orientation. ## Image Formats In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No
If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. ## Image Options The size of the exported image defaults to the current window size at the current display resolution. You can override this size in your script file by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions), or by tapping on the size label in the export menu and selecting a different size: ![Export size](../../images/export-size-ios.png) Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a [ray tracing](https://en.wikipedia.org/wiki/Ray_tracing_(graphics)) program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/1.6.7/ios/expressions.md000066400000000000000000000214671450355336000211450ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value % | modulo | Remainder of dividing the left value by the right value
Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison ShapeScript includes the following equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else): Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
**Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Linear Algebra As well as operating on individual numbers, some operators can be used with [vectors or tuples](literals.md#vectors-and-tuples). To multiply or divide a tuple of numbers by a scalar value you can use: ```swift define numbers (1 2 3 -4) print numbers * 2 // prints 2 4 6 -8 ``` You can also multiply two tuples: ```swift define left (1 2 3) define right (1 -2 3) print left * right // prints 1 -4 9 ``` Note that is a simple member-wise multiplication of the numbers. For other types of vector multiplication such as the dot or cross product see the [functions section](functions.md#linear-algebra). If the tuples have different lengths, the result will be truncated to the shorter of the two: ```swift define left (1 2 3) define right (1 -2) print left * right // prints 1 -4 ``` You can also add or subtract two lists of numbers together: ```swift define left (1 2 3) define right (1 -2 3) print left + right // prints 2 0 6 ``` Unlike with multiplication or division, adding or subtracting a shorter tuple from a longer one will preserve the length of the left side: ```swift define left (1 2 3) define right (1 -2) print left + right // prints 2 0 3 ``` Adding a longer tuple to a shorter one will not widen the result however: ```swift define left (1 2 3) define right (1 -2 3 4) print left + right // prints 2 0 3 ``` ## Boolean Algebra Along with the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members Compound values like [vectors and tuples](literals.md#vectors-and-tuples) can be decomposed by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For strings, you can use the `lines`, `words` and `characters` members: ```swift define sentence "The quick brown fox" for word in sentence { print word // prints each word on a new line } ``` For [meshes](meshes.md) you can access the `name`, `bounds` and `polygons` members, and for [polygons](meshes.md#polygons-and-points) you can use `points` to access the individual vertices. For points you can access the `position` and `color`: ```swift define triangle polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Print the vertex colors for point in triangle.points { print "position: " point.position ", color: " point.color } ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/1.6.7/ios/functions.md000066400000000000000000000220231450355336000205600ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sign` function (not to be confused with [sin](#trigonometry)) returns `1`, `-1` or `0` depending on the sign of the input: ```swift sign 4.5 // returns 1 sign -51 // returns -1 sign 0 // returns 0 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two or more values: ```swift min 2 4 // returns 2 min 5 0 -5.1 // returns -5.1 ``` The `max` function returns the higher of two or more values: ```swift max 2 4 // returns 4 max 5 0 -5.1 // returns 5 ``` ## Linear Algebra ShapeScript also includes functions for operating on [vectors](literals.md#vectors-and-tuples): The `dot` function is used to calculate the [dot product](https://en.wikipedia.org/wiki/Dot_product) of a pair of vectors: ```swift define up (0 1) define right (1 0) print dot(up right) // returns 0 ``` The `cross` function calculates the [cross product](https://en.wikipedia.org/wiki/Cross_product): ```swift define up (0 1) define right (1 0) print cross(up right) // returns 0 0 -1 ``` The `length` function calculates the magnitude of a vector (also known as the [norm](https://en.wikipedia.org/wiki/Euclidean_space#Euclidean_norm)): ```swift define v (3 4) print length(v) // returns 5 ``` The `normalize` function computes a [unit vector](https://en.wikipedia.org/wiki/Unit_vector) from an arbitrary vector by dividing each element by the vector length: ```swift define v (3 4) print normalize(v) // returns 0.6 0.8 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry in ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript half-turn value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript half-turn value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :---------------------| :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to half-turns | halfturns = degrees / 180 Half-turns to degrees | degrees = halfturns * 180 Radians to half-turns | halfturns = degrees / pi Half-turns to radians | radians = halfturns * pi
Common values: Angle in degrees | Angle in radians | Angle in half-turns :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
## Strings ShapeScript includes a number of functions for manipulating strings. The `join` function concatenates two or more strings together, with an optional separator: ```swift define words "Hello" "World!" define greeting join words ", " print greeting // prints "Hello, World!" ``` If you don't want a delimiter, just pass an empty string as the second argument to join: ```swift define words "Hello" "World!" define greeting join(words "") print greeting // prints "HelloWorld!" ``` The `split` function breaks a string up into a tuple of substrings by splitting it at a specified delimiter: ```swift define input "comma,delimited,string" define elements split input "," print elements.second // prints "delimited" ``` The `trim` function removes any leading or trailing [white space](https://en.wikipedia.org/wiki/Whitespace_character) characters from a string: ```swift define input "comma, delimited , string,with ,spaces" define elements split input "," print elements.second // prints " delimited " print trim elements.second // prints just "delimited" without spaces ``` ## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/1.6.7/ios/getting-started.md000066400000000000000000000177401450355336000216670ustar00rootroot00000000000000Getting Started --- ShapeScript Viewer for iOS is designed for opening and editing 3D models and scenes that use the ShapeScript `.shape` file format. If you do not have any existing ShapeScript files, you can create one using the `+` button. You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. ![New file modal](../../images/new-file-ios.png) After pressing OK you should see a new screen appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../../images/new-document-ios-1.6.4.png) ## Viewing Drag your finger inside the window and you will notice that the three shapes appear to rotate. You are not actually moving the shapes themselves, but rotating the camera around them. To return to the original orientation, tap the camera icon in the top-right and select `Reset View`. To help you orient yourself, you can enable the `Show Axes` option in the camera menu, which displays the direction of the X, Y and Z axes. ![Show axes](../../images/show-axes-ios-1.6.4.png) For more information about navigating around the scene, see [Camera Control](camera-control.md). ## Editing To edit your `.shape` file, tap the pencil icon in the top-right of the screen. This will open the file inside the integrated source editor: ![Integrated source editor](../../images/source-editor-ios.png) Changes made to the model in the source editor will be reflected immediately in the scene (although you may need to close the source view to see them!). In addition to the built-in editor, ShapeScript also supports the use of external text editors such as [Runestone](https://apps.apple.com/app/runestone-text-editor/id1548193893) or [Subtext](https://apps.apple.com/app/subtext/id1606625287). ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Runestone) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. If you are using an iPad, you can use the [Split View](https://support.apple.com/en-gb/guide/ipad/ipad08c9970c/ipados) feature to show both ShapeScript Viewer and your text editor app on screen simultaneously: ![Split View](../../images/split-view-ios-1.6.4.png) **Note:** Not all iOS text editors support *live editing* (where changes in the text are reflected automatically in ShapeScript as you make them). You may find you have to explicitly save or close the document in your editor for changes to take effect. External editors may also not immediately pick up changes you make using the built-in source editor, so be careful when switching between them. ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. The shapes are made out of flat polygons, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many polygons will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your scene so that you avoid having to work with very large numbers (thousands of units), or very small ones (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assumed to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../../images/yellow-cube-ios-1.6.4.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../../images/error-screen-ios-1.6.4.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use undo feature in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection To get information about your scene (such as polygon count and overall dimensions), tap the info button in the top-right corder of the screen. To get info about a particular shape in the scene, tap on it in the viewer to select it then press the info button. This will also tell you which line in the `.shape` file defines that component. Tap outside of the shape to deselect it again. ![Object info](../../images/object-info-ios-1.6.4.png) **Note:** If you are having trouble identifying a particular shape from your `.shape` file, you can use the [debug command](debugging.md) to highlight it in the viewer. --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/1.6.7/ios/glossary.md000066400000000000000000000032301450355336000204120ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Half-turn | The unit used to specify angles or rotations in ShapeScript Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/1.6.7/ios/groups.md000066400000000000000000000025161450355336000200740ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs, etc. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [options](options.md) (material, detail, etc.) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the position of subsequent shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../../images/group.png) **Note:** Changes made to properties such as transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/1.6.7/ios/import.md000066400000000000000000000056301450355336000200670ustar00rootroot00000000000000Import --- ## Scripts ShapeScript files can get quite large for complicated scenes, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` Here we've used `import` to load an external ShapeScript file and evaluate it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Models The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. ## Text and Data In addition to scripts and standard model formats, text files can be imported as a [string](literals.md#strings) value. ```swift define text { import "Text.txt" } ``` Imported strings can then be displayed directly, or further processed using ShapeScript's [string functions](functions.md#strings): ```swift for line in text.lines { print (trim line) } ``` As well as plain text, ShapeScript also supports importing JSON files as [structured data](literals.md#structured-data): ```swift define data { import "Data.json" } ``` ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](examples.md) ShapeScript-1.6.14/docs/1.6.7/ios/index.md000066400000000000000000000156721450355336000176730ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Viewing](getting-started.md#viewing) - [Editing](getting-started.md#editing) - [File Structure](getting-started.md#file-structure) - [Next Steps](getting-started.md#next-steps) - [Debugging and Selection](getting-started.md#debugging-and-selection) - [Camera Control](camera-control.md) - [Camera Selection](camera-control.md#camera-selection) - [Mouse Control](camera-control.md#mouse-control) - [Trackpad Control](camera-control.md#trackpad-control) - [Copy Settings](camera-control.md#copy-settings) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Meshes](meshes.md) - [Polygons and Points](meshes.md#polygons-and-points) - [Watertightness](meshes.md#watertightness) - [Winding order](meshes.md#winding-order) - [Procedural Meshes](meshes.md#procedural-meshes) - [Concave and Non-planar Polygons](meshes.md#concave-and-non-planar-polygons) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Arcs](paths.md#arcs) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Hull](builders.md#hull) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Groups](groups.md) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Block Comments](comments.md#block-comments) - [Nested Comments](comments.md#nested-comments) - [Literals](literals.md) - [Strings](literals.md#strings) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Linear Algebra](expressions.md#linear-algebra) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Linear Algebra](functions.md#linear-algebra) - [Trigonometry](functions.md#trigonometry) - [Strings](functions.md#strings) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Import](commands.md#import) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Scripts](import.md#scripts) - [Models](import.md#models) - [Text and Data](import.md#text-and-data) - [Dynamic Imports](import.md#dynamic-imports) - [Export](export.md) - [Export Formats](export.md#export-formats) - [Games and AR](export.md#games-and-ar) - [3D Printing](export.md#3d-printing) - [Image Formats](export.md#image-formats) - [Image Options](export.md#image-options) - [Examples](examples.md) - [Ball](examples.md#ball) - [Chessboard](examples.md#chessboard) - [Cog](examples.md#cog) - [Earth](examples.md#earth) - [Spirals](examples.md#spirals) - [Spring](examples.md#spring) - [Train](examples.md#train) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.7/ios/lights.md000066400000000000000000000130111450355336000200370ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a scene for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/1.6.7/ios/literals.md000066400000000000000000000135021450355336000203710ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a decimal literal false // a boolean literal "hello" // a string literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` ## Strings Strings are how human-readable text is represented in ShapeScript. These are used for a variety of purposes, including specifying file names for [imports](import.md) or [textures](materials.md#texture), [logging](debugging.md#logging) debug information to the console, or even rendering 3D text. String literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. If you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a string literal without a closing `"` is treated as an error, so if you need to include line-breaks in your string then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the string. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). A tuple of numeric values is also known as a *vector*. Vectors are used in ShapeScript to represent positions, colors, sizes and rotations. Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` You can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers. They can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, ... `last`) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.count // 3 print data.first // name print data.second // position print data.last // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` You can split up lists of data using the `allButFirst` and `allButLast` members: ```swift define data (1 2 3 4 5) print data.allButFirst // 2 3 4 5 print data.allButLast // 1 2 3 4 ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/1.6.7/ios/materials.md000066400000000000000000000223241450355336000205350ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using [string interpolation](text.md#interpolation), which is useful if you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` As with `color`, once a texture has been set it will be applied to all subsequent shapes defined in the same [scope](scope.md). To clear the current texture you can set it to an empty string: ```swift texture "" ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../../images/sandbox-error-ios-1.6.4.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is applied depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../../images/textured-cube.png) ![Textured sphere](../../images/textured-sphere.png) ![Textured cylinder](../../images/textured-cylinder.png) ![Textured cone](../../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/1.6.7/ios/meshes.md000066400000000000000000000141021450355336000200330ustar00rootroot00000000000000Meshes --- While they may appear solid, the 3D shapes that ShapeScript produces are actually hollow shells composed of polygons. These polygon shells are known as [meshes](https://en.wikipedia.org/wiki/Polygon_mesh). ShapeScript provides many tools for constructing meshes, including [primitives](primitives.md), [builders](builders.md) and [CSG](csg.md) operations, but you can also create meshes manually by specifying each polygon yourself. While this is generally a tedious approach compared to the other tools, it affords you complete control over the mesh topology, and allows you to create arbitrary shapes that might be hard to achieve with higher-level tools. ## Polygons and Points A mesh is made up of one or more *polygons*, and each polygon is made up of three or more [vertices](https://en.wikipedia.org/wiki/Vertex_(geometry)) or *points*. To construct a mesh you use the `mesh`, `polygon` and `point` commands. The following code defines the simplest possible mesh - a single triangle: ```swift mesh { polygon { point 0 0 point 1 0 point 1 1 } } ``` ![Triangle](../../images/triangle-polygon.png) The `point` command accepts a [vector](literals.md#vectors-and-tuples) value. Polygons can be placed anywhere in three-dimensional space, so `point` accepts up to three values (for the X, Y and Z coordinates respectively). In this case we've just specified two values, so the Z coordinate defaults to zero. Manually constructed meshes do not currently support textures, but they inherit the current [material color](materials.md#color). Color can also be applied separately to individual vertices within a mesh. When vertices of a given polygon have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift mesh { polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } } ``` ![Colored triangle](../../images/colored-triangle.png) ## Watertightness If you rotate the triangle you will see that the back face is invisible. Most of the mesh-construction commands in ShapeScript produce shapes that are *watertight*, meaning that they do not contain any holes that would allow you to see the back faces of the polygon surface, but when you create a mesh using the `mesh` command it's up to you to ensure that the mesh you create is watertight. You can check this by selecting the mesh in the editor and [getting info](getting-started.md#debugging-and-selection). As you can see, our triangle is not watertight: ![Not watertight](../../images/not-watertight.png) Watertightness is an important quality when using [CSG](csg.md) operations, because the "solid" in Constructive Solid Geometry implies that shapes are expected to behave like solid objects (even though they are actually hollow), and holes or exposed back faces will cause glitches as ShapeScript is unable to determine whether a given point lies inside or outside the shape. To solve this, we can add another triangle with the same vertices but facing the opposite direction. But wait - we never specified the direction of the triangle face in the first place, so how does ShapeScript decide which way a polygon is facing? ## Winding order By convention, polygons in ShapeScript are assumed to be defined with [counterclockwise](https://en.wikipedia.org/wiki/Counterclockwise) (aka *anticlockwise*) winding. What that means is that when looking at the polygon from the front, the vertices will be ordered in counterclockwise direction. To add a back face we'll create a second triangle with the inverse vertex order: ```swift mesh { // Front polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Back polygon { point 1 1 point 1 0 point 0 0 } } ``` (We've left the back face white in this case, so you can tell which side is which). If you get info again you'll see that the triangle is now watertight: ## Procedural Meshes We've learned how to make a triangle, but what about something a bit more complex? For our next trick we're going to create a cube. A cube has six faces, each consisting of four vertices - 24 vertices in total. But in fact there are really only eight unique vertices, so rather than tediously typing out the same points over and over, maybe we can use the power of scripting to save ourselves some effort? First we'll define a [block](blocks.md) called "side" that creates a single side of the cube: ```swift define side { color rnd rnd rnd polygon { point -0.5 -0.5 0.5 point +0.5 -0.5 0.5 point +0.5 +0.5 0.5 point -0.5 +0.5 0.5 } } ``` Note that the `color rnd rnd rnd` - this will produce a different random color each time the block is called, making the cube a little more interesting to look at. Next we'll call `side` block six times from inside a `mesh`, passing a different orientation each time: ```swift mesh { side { orientation 0 } side { orientation 0 0.5 } side { orientation 0 1 } side { orientation 0 1.5 } side { orientation 0 0 0.5 } side { orientation 0 0 -0.5 } } ``` And voila! A colored cube: ![Cube mesh](../../images/cube-mesh.png) Obviously this is a lot more trouble than just using the [cube](primitives.md#cube) command, but hopefully you can see the potential for creating more interesting shapes. ## Concave and Non-planar Polygons In many 3D engines, meshes must be constructed exclusively from triangles. The reason for this is that by definition a triangle is always both [convex](https://en.wikipedia.org/wiki/Convex_polygon) and *planar*, meaning that all its vertices lie on the same plane, which simplifies the mathematics needed to [rasterize](https://en.wikipedia.org/wiki/Rasterisation) or render the mesh. ShapeScript places no such restrictions on the polygons that you define in your mesh. Non-planar or non-convex polygons will be automatically split into their constituent triangles as needed for [export](export.md) or display. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/1.6.7/ios/options.md000066400000000000000000000134171450355336000202520ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a texture value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name can be useful for identifying distinct shape components when [selecting them](getting-started.md#debugging-and-selection) in the viewer, or when importing a model exported from ShapeScript into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a mesh that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/1.6.7/ios/paths.md000066400000000000000000000222611450355336000176730ustar00rootroot00000000000000Paths --- A path is a sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a scene (except possibly for something like a thin rope or antenna), but they can be used to define the contours or profile of a 3D shape (see [builders](builders.md) for details). ## Points As with the [polygons](meshes.md#polygons-and-points) in a mesh, you define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be three-dimensional, so `point` accepts up to three coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of zero). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point must have the same position. The following path has four points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves in ShapeScript are typically created using [quadratic Béziers](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. Just as [3D meshes](meshes.md) are constructed from flat polygons, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift path { detail 99 point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../../images/octocircle.png) ## Arcs Arcs created by Bézier curves can approximate a circle, but not perfectly. If you need a precisely circular curve, you can use the `arc` command: ```swift arc { angle 0.5 } ``` The `angle` option defines the angular span of the arc, starting clockwise from the Y axis. The angle is measured in *half-turns* (as explained in the [Transforms](transforms.md#orientation) section) so the `0.5` in the example above produces a quarter circle: ![Quarter Circle](../../images/quarter-circle.png) To adjust the starting angle, you can use the [orientation option](transforms.md#orientation) or [rotate command](transforms.md#relative-transforms) as you would for any other shape. The following creates an arc from -45 degrees to +90 degrees: ```swift arc { orientation -0.25 angle 0.75 } ``` Arcs have a default radius of 0.5 units. You can increase or decrease this using the `size` option: ```swift arc { size 2 // radius of 1 unit (0.5 * 2) } ``` Arcs can be used in conjunction with individual path points or other arcs to make more complex shapes. The following creates a slab with curved corners: ```swift extrude path { // left arc arc { angle -0.5 } // bottom-left corner point -0.5 0 // bottom-right corner point 1.5 0 // right arc arc { position 1 0 orientation 0.5 angle -0.5 } // close path with smooth join curve 0 0.5 } ``` ![Curved slab](../../images/curved-slab.png) ## Circles If you need a complete circle, there's an even simpler way than using `arc`, which is to use the `circle` command: ```swift circle ``` Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../../images/roundrect.png) ## Regular Polygons When used outside of a `mesh`, the `polygon` command can be used to create a regular polygon. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/1.6.7/ios/primitives.md000066400000000000000000000053271450355336000207530ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct a scene. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) or [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of polygons, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/1.6.7/ios/scope.md000066400000000000000000000035651450355336000176730ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines subcomponents in your scene can use transforms and materials internally without them "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/1.6.7/ios/symbols.md000066400000000000000000000052541450355336000202470ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/1.6.7/ios/text.md000066400000000000000000000163561450355336000175500ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [string interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use string interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty string literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [string interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/1.6.7/ios/transforms.md000066400000000000000000000147101450355336000207520ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)). This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. For example the following code applies a pitch of 45 degrees followed by a roll of 80 degrees, which would be very difficult to express as a single `rotate` or `orientation` instruction due to the fixed roll-yaw-pitch order: ```swift rotate 0 0 0.25 // pitch 45 degrees rotate 0.4 0 0 // roll 80 degrees cube ``` --- [Index](index.md) | Next: [Bounds](bounds.md) ShapeScript-1.6.14/docs/1.6.7/mac/000077500000000000000000000000001450355336000161755ustar00rootroot00000000000000ShapeScript-1.6.14/docs/1.6.7/mac/blocks.md000066400000000000000000000047461450355336000200070ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/1.6.7/mac/bounds.md000066400000000000000000000056521450355336000200210ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needed to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Meshes](meshes.md) ShapeScript-1.6.14/docs/1.6.7/mac/builders.md000066400000000000000000000215161450355336000203350ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D shape: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units polygon { sides 3 } } ``` ![Prism](../../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../../images/roundrect-extrusion.png) In the following example, we extrude a square cross-section along a 3D path: ```swift define shape path { orientation 0 0 -0.4 curve 0 1 0.75 curve -1 0 curve 0 -1 0.25 curve 1 0 curve 1 1 curve 0 1 0.75 } extrude { square { size 0.1 } along shape } ``` ![Tangential extrusion](../../images/tangential-extrusion.png) Note how the cross-section tilts as it follows the path. This can be a nice effect, but you might prefer that the cross section remains perpendicular to the world axes. To control this, you can use the `axisAligned` property: ```swift extrude { square { size 0.1 } along shape axisAligned true } ``` ![Axis-aligned extrusion](../../images/axis-aligned-extrusion.png) A value of `true` for `axisAligned` means the cross section will remain perpendicular to the path, which in some cases may cause the shape to look "pinched". A value of `false` means the cross-section is always aligned to the tangent of the path, which ensures consistent thickness at the cost of inconsistent orientation. If the `axisAligned` property is omitted, ShapeScript will try to choose an appropriate alignment for the path provided to `along`. To apply a twist along the length of an extruded shape, you can use the `twist` property: ```swift extrude { square twist 0.5 } ``` ![Twisted extrusion](../../images/twisted-extrusion.png) Twist uses the same [half-turn](transforms.md#orientation) units as the other rotation commands, so a twist of 0.5 equates to one quarter turn, or 90 degrees. Applying a twist will automatically increase the number of cross sections in proportion to the current [detail](options.md#detail) level to prevent distortion: ![Twisted extrusion wireframe](../../images/twisted-extrusion-wireframe.png) You can combine `twist` with the `along` property to twist a curved path: ```swift extrude { square { size 0.2 } along circle twist 2 } ``` ![Twisted circle](../../images/twisted-circle.png) **Note:** when extruding along a closed path, you should always use a multiple of `2` (i.e. a full rotation) for the `twist` value to avoid an ugly seam: ![Twisted circle seam](../../images/twisted-circle-seam.png) ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 polygon { sides 3 } translate 0 0 2 // triangle 2 polygon { sides 3 } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../../images/loftshape.png) ## Hull The `hull` command works a bit like `loft`, in that it joins together multiple paths to form a solid surface. Here is the `loft` shape above, implemented using `hull`: ```swift hull { square translate 0 0 1 circle } ``` ![Hull shape](../../images/loftshape.png) So if `hull` and `loft` are the same, why have a separate command? The difference is that rather than joining sections together in a tube, `hull` forms a tight *skin* around the outside of all its child shapes, known as a [convex hull](https://en.wikipedia.org/wiki/Convex_hull). To illustrate the difference, here is the `hull` of a star shape, vs a `loft` of the same shape: ![Hull shape](../../images/hull-vs-loft.png) But the real power of the `hull` command is that it's not limited to operating on paths. Unlike the other builders, you can create a hull around meshes, paths, points, or any combination. For example, here is a hull formed from a cylinder and a point: ```swift hull { cylinder point 1 0 0 } ``` ![Hull shape](../../images/hull.png) This allows for a lot of interesting shapes that would be hard to create using the other commands. You might notice some odd stripes on the surface near the lip of the cylinder. As you may recall from the [detail](options.md#detail) section, curved surfaces in ShapeScript are actually formed from straight-edged polygons, with lighting used to make them appear smooth. When creating a hull from different shapes, the resultant [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) aren't always what you'd expect, which can result in lighting glitches like this. In some cases you can use the [smoothing](options.md#smoothing) command to smooth out these discrepancies, like so: ```swift smoothing 0.25 ``` ![Hull shape](../../images/smoothed-hull.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/1.6.7/mac/camera-control.md000066400000000000000000000037201450355336000214270ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled via a mouse or trackpad. The camera is not part of the file itself, and moving it will not change the file in any way. ## Camera Selection By default, the camera is positioned along the Z axis, looking down at the scene. The distance of the camera from the origin is set automatically based on the bounding sphere of the scene. You can choose a different camera angle from the `View > Camera` menu. [Custom cameras](cameras.md#custom-cameras) can be defined programatically. To reset the current camera to its default position, select the `View > Camera > Reset` menu, or press **Cmd-0** on the keyboard. ## Mouse Control **Note:** The instructions below assume the use of an Apple Magic Mouse. Controls for other mice may differ. Motion | Action :--------------------------- | :-------------------------- Rotate scene | Hold the mouse button and drag Pan up/down/left/right | Either swipe the mouse surface with one finger, or hold Shift + mouse button and drag Zoom in and out | Hold Shift, then swipe up or down on the mouse surface with one finger
## Trackpad Control Motion | Action :--------------------------- | :-------------------------- Rotate scene | Click and drag with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Either pinch, or hold Shift + swipe up or down with two fingers Roll | Pinch, then rotate fingers
## Copy Settings To copy the configuration for the current camera view, select `View > Copy Camera Settings`, or press **Cmd-Shift-C** on the keyboard. This will copy a snippet of ShapeScript code that you can paste into your `.shape` file to define a [custom camera](cameras.md#custom-cameras). --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/1.6.7/mac/cameras.md000066400000000000000000000123331450355336000201340ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your scene from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../../images/custom-camera-menu.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#image-formats): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/1.6.7/mac/commands.md000066400000000000000000000145701450355336000203270ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the shape, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#image-formats). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your scene is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. ## Import The `import` command is used to import an external ShapeScript or 3D geometry file. For more details on how this is used, see the [import](import.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/1.6.7/mac/comments.md000066400000000000000000000036061450355336000203510ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a scene. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. ## Block Comments Another way to disable a large chunk of code at once is to use a *block comment*. Block comments begin with `/*` and end with `*/`. Anything between these delimiters is considered part of the comment, even if they span multiple lines: ```swift /* // this code is disabled fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } */ ``` Block comments can also be useful if you want to place a comment in the middle of a line, for example: ```swift define a(b c d) { b /* + c */ + d } ``` Here we've excluded the `c` parameter from the result, however the code both before and after the comment is unaffected. ## Nested Comments Unlike some other languages, ShapeScript allows block comments to be nested inside each other. This is useful if you want to comment out some code that already contains comments: ```swift /* define foo { option bar 3 /* option baz 5 */ // return bar print bar } */ ``` **Note:** although nested comments are supported by ShapeScript itself, they may confuse the syntax highlighting in whichever editor you are using. Don't be alarmed if part of the comment appears in the wrong color. --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/1.6.7/mac/control-flow.md000066400000000000000000000111131450355336000211410ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your scene might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/1.6.7/mac/csg.md000066400000000000000000000075621450355336000173050ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The shape on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../../images/group-vs-difference.png) The subtracted shape is removed from the result, but leaves an impression in the shape it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque shape the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The shape on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The shape on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a shape. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/1.6.7/mac/debugging.md000066400000000000000000000053001450355336000204500ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/1.6.7/mac/examples.md000066400000000000000000000035351450355336000203430ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../../images/earth.png) ## Spirals The Spirals example demonstrates using the [extrude](builders.md#extrude) command to create a spiral. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spirals](../../images/spirals.png) ## Spring The Spring example demonstrates how to use the [loft](builders.md#loft) command and a [for loop](control-flow.md#loops) to create a coiled spring shape. ![Spring](../../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.7/mac/export.md000066400000000000000000000127771450355336000200560ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D scene, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript Mac App](https://apps.apple.com/app/id1441135869). Export is not available in the free ShapesScript Viewer.** To export your scene, select the `File > Unlock Export Feature…` menu (**Cmd-Shift-E**) to unlock the export functionality. Once unlocked, this menu will change to `Export…`. **Note:** If the `Export…` menu is grayed-out, it is most likely because your scene is still loading. Wait for the loading spinner in the top-left of the ShapeScript document window to finish before trying to export. ![Loading](../../images/loading.png) ## Export Formats ShapeScript can export your scene in a variety of model formats, selectable from the export window: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
**Note:** Not all formats support all features of ShapeScript scenes, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## Games and AR Models exported from ShapeScript are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use USD(Z) files with Apple's SceneKit and RealityKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in Stereolithography (STL) format, used by many 3D printing applications. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript scenes use the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the export window to export your model in this orientation. ## Image Formats In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ gif | Graphics Interchange Format | Yes png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No jpf / jp2 | JPEG 2000 | Yes tif / tiff | Tagged Image File Format | Yes bmp | Bitmap | No
If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. ## Image Options The size of the exported image defaults to the current window size at the current display resolution. You can override this size in your script file by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions), or by clicking on the size label in the export window and selecting a different size: ![Export size](../../images/export-size.png) Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a [ray tracing](https://en.wikipedia.org/wiki/Ray_tracing_(graphics)) program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/1.6.7/mac/expressions.md000066400000000000000000000214671450355336000211130ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value % | modulo | Remainder of dividing the left value by the right value
Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison ShapeScript includes the following equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else): Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
**Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Linear Algebra As well as operating on individual numbers, some operators can be used with [vectors or tuples](literals.md#vectors-and-tuples). To multiply or divide a tuple of numbers by a scalar value you can use: ```swift define numbers (1 2 3 -4) print numbers * 2 // prints 2 4 6 -8 ``` You can also multiply two tuples: ```swift define left (1 2 3) define right (1 -2 3) print left * right // prints 1 -4 9 ``` Note that is a simple member-wise multiplication of the numbers. For other types of vector multiplication such as the dot or cross product see the [functions section](functions.md#linear-algebra). If the tuples have different lengths, the result will be truncated to the shorter of the two: ```swift define left (1 2 3) define right (1 -2) print left * right // prints 1 -4 ``` You can also add or subtract two lists of numbers together: ```swift define left (1 2 3) define right (1 -2 3) print left + right // prints 2 0 6 ``` Unlike with multiplication or division, adding or subtracting a shorter tuple from a longer one will preserve the length of the left side: ```swift define left (1 2 3) define right (1 -2) print left + right // prints 2 0 3 ``` Adding a longer tuple to a shorter one will not widen the result however: ```swift define left (1 2 3) define right (1 -2 3 4) print left + right // prints 2 0 3 ``` ## Boolean Algebra Along with the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members Compound values like [vectors and tuples](literals.md#vectors-and-tuples) can be decomposed by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For strings, you can use the `lines`, `words` and `characters` members: ```swift define sentence "The quick brown fox" for word in sentence { print word // prints each word on a new line } ``` For [meshes](meshes.md) you can access the `name`, `bounds` and `polygons` members, and for [polygons](meshes.md#polygons-and-points) you can use `points` to access the individual vertices. For points you can access the `position` and `color`: ```swift define triangle polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Print the vertex colors for point in triangle.points { print "position: " point.position ", color: " point.color } ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/1.6.7/mac/functions.md000066400000000000000000000220231450355336000205260ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sign` function (not to be confused with [sin](#trigonometry)) returns `1`, `-1` or `0` depending on the sign of the input: ```swift sign 4.5 // returns 1 sign -51 // returns -1 sign 0 // returns 0 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two or more values: ```swift min 2 4 // returns 2 min 5 0 -5.1 // returns -5.1 ``` The `max` function returns the higher of two or more values: ```swift max 2 4 // returns 4 max 5 0 -5.1 // returns 5 ``` ## Linear Algebra ShapeScript also includes functions for operating on [vectors](literals.md#vectors-and-tuples): The `dot` function is used to calculate the [dot product](https://en.wikipedia.org/wiki/Dot_product) of a pair of vectors: ```swift define up (0 1) define right (1 0) print dot(up right) // returns 0 ``` The `cross` function calculates the [cross product](https://en.wikipedia.org/wiki/Cross_product): ```swift define up (0 1) define right (1 0) print cross(up right) // returns 0 0 -1 ``` The `length` function calculates the magnitude of a vector (also known as the [norm](https://en.wikipedia.org/wiki/Euclidean_space#Euclidean_norm)): ```swift define v (3 4) print length(v) // returns 5 ``` The `normalize` function computes a [unit vector](https://en.wikipedia.org/wiki/Unit_vector) from an arbitrary vector by dividing each element by the vector length: ```swift define v (3 4) print normalize(v) // returns 0.6 0.8 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry in ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript half-turn value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript half-turn value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :---------------------| :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to half-turns | halfturns = degrees / 180 Half-turns to degrees | degrees = halfturns * 180 Radians to half-turns | halfturns = degrees / pi Half-turns to radians | radians = halfturns * pi
Common values: Angle in degrees | Angle in radians | Angle in half-turns :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
## Strings ShapeScript includes a number of functions for manipulating strings. The `join` function concatenates two or more strings together, with an optional separator: ```swift define words "Hello" "World!" define greeting join words ", " print greeting // prints "Hello, World!" ``` If you don't want a delimiter, just pass an empty string as the second argument to join: ```swift define words "Hello" "World!" define greeting join(words "") print greeting // prints "HelloWorld!" ``` The `split` function breaks a string up into a tuple of substrings by splitting it at a specified delimiter: ```swift define input "comma,delimited,string" define elements split input "," print elements.second // prints "delimited" ``` The `trim` function removes any leading or trailing [white space](https://en.wikipedia.org/wiki/Whitespace_character) characters from a string: ```swift define input "comma, delimited , string,with ,spaces" define elements split input "," print elements.second // prints " delimited " print trim elements.second // prints just "delimited" without spaces ``` ## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/1.6.7/mac/getting-started.md000066400000000000000000000202541450355336000216270ustar00rootroot00000000000000Getting Started --- Start by creating a new ShapeScript document. You can do this by selecting `File > New` in the menu bar (or by pressing **Cmd-N** on the keyboard). You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. **Note:** If you cannot see the file prompt, check that it hasn't appeared *behind* this help window. The help window floats in front of all other windows and applications, so you may need to move it out of the way. You should see a new window appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../../images/new-document-mac.png) ## Viewing Drag your mouse cursor inside the window and you will notice that the three objects appear to rotate. You are not actually moving the shapes themselves, but rotating the camera around them. To reset the view, select `View > Camera > Reset` or press **Cmd-0**. To help you orient yourself, you can use the `View > Show Axes` option, which displays the direction of the X, Y and Z axes. ![Show axes](../../images/show-axes-mac.png) For more information about navigating around the model, see [Camera Control](camera-control.md). ## Editing To edit the 3D model, select the `Edit > Open in Editor` menu or press **Cmd-E**. ShapeScript does not include an editor. Instead, the `Open in Editor` command will ask you to select an external text editor to use. If you do not have any other editors installed, the default option will probably be TextEdit. Once opened, the file should look something like this: ![TextEdit window](../../images/textedit-mac.png) ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. TextEdit will work, but is probably not the best choice as it does not support syntax coloring or any of the other programmer-friendly features of modern editors. If you have a more advanced editor such as [SubEthaEdit](https://subethaedit.net), [TextMate](https://macromates.com), [Sublime Text](https://www.sublimetext.com) or [Atom](https://atom.io) then it would be better to use one of these. An Integrated Development Environment (IDE) such as [Xcode](https://developer.apple.com/xcode/) is also a good option. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Xcode) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. ShapeScript will only ask you which editor you want to use the *first* time you edit a file, then it will remember your choice. If you change your mind later, you can select a different editor in Preferences (select the `ShapeScript > Preferences…` menu or press **Cmd-,**). ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. ShapeScript models are made out of flat polygons, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many polygons will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your models so that you avoid having to work with very large scales (thousands of units), or very small scales (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assumed to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../../images/yellow-cube-mac.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../../images/error-screen-mac.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use the `Edit > Undo` menu in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection You can get information about your scene (such as polygon count and overall dimensions) by selecting `View > Scene Info` (**Cmd-I**) in the menu bar. To get info about a particular shape in the scene, click on it in the viewer to select it, then use `View > Model Info` (**Cmd-I**) to get info on just the selected part. This will also tell you which line in the `.shape` file defines that component. Click outside of the shape, or press **Escape** to deselect it again. ![Object info](../../images/object-info-mac.png) You can also use the `Edit > Select Shape` menu to select from a list of shapes in the scene, or cycle between selected shapes using the **Tab** key. **Note:** If you are having trouble identifying a particular shape from your `.shape` file, you can use the [debug command](debugging.md) to highlight it in the viewer. --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/1.6.7/mac/glossary.md000066400000000000000000000032301450355336000203600ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Half-turn | The unit used to specify angles or rotations in ShapeScript Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/1.6.7/mac/groups.md000066400000000000000000000025161450355336000200420ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs, etc. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [options](options.md) (material, detail, etc.) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the position of subsequent shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../../images/group.png) **Note:** Changes made to properties such as transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/1.6.7/mac/import.md000066400000000000000000000056261450355336000200420ustar00rootroot00000000000000Import --- ## Scripts ShapeScript files can get quite large for complicated scenes, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` Here we've used `import` to load an external ShapeScript file and evaluate it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Models The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. ## Text and Data In addition to scripts and standard model formats, text files can be imported as a [string](literals.md#strings) value. ```swift define text { import "Text.txt" } ``` Imported strings can then be displayed directly, or further processed using ShapeScript's [string functions](functions.md#strings): ```swift for line in text.lines { print (trim line) } ``` As well as plain text, ShapeScript also supports importing JSON files as [structured data](literals.md#structured-data): ```swift define data { import "Data.json" } ``` ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](export.md) ShapeScript-1.6.14/docs/1.6.7/mac/index.md000066400000000000000000000156721450355336000176410ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Viewing](getting-started.md#viewing) - [Editing](getting-started.md#editing) - [File Structure](getting-started.md#file-structure) - [Next Steps](getting-started.md#next-steps) - [Debugging and Selection](getting-started.md#debugging-and-selection) - [Camera Control](camera-control.md) - [Camera Selection](camera-control.md#camera-selection) - [Mouse Control](camera-control.md#mouse-control) - [Trackpad Control](camera-control.md#trackpad-control) - [Copy Settings](camera-control.md#copy-settings) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Meshes](meshes.md) - [Polygons and Points](meshes.md#polygons-and-points) - [Watertightness](meshes.md#watertightness) - [Winding order](meshes.md#winding-order) - [Procedural Meshes](meshes.md#procedural-meshes) - [Concave and Non-planar Polygons](meshes.md#concave-and-non-planar-polygons) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Arcs](paths.md#arcs) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Hull](builders.md#hull) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Groups](groups.md) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Block Comments](comments.md#block-comments) - [Nested Comments](comments.md#nested-comments) - [Literals](literals.md) - [Strings](literals.md#strings) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Linear Algebra](expressions.md#linear-algebra) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Linear Algebra](functions.md#linear-algebra) - [Trigonometry](functions.md#trigonometry) - [Strings](functions.md#strings) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Import](commands.md#import) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Scripts](import.md#scripts) - [Models](import.md#models) - [Text and Data](import.md#text-and-data) - [Dynamic Imports](import.md#dynamic-imports) - [Export](export.md) - [Export Formats](export.md#export-formats) - [Games and AR](export.md#games-and-ar) - [3D Printing](export.md#3d-printing) - [Image Formats](export.md#image-formats) - [Image Options](export.md#image-options) - [Examples](examples.md) - [Ball](examples.md#ball) - [Chessboard](examples.md#chessboard) - [Cog](examples.md#cog) - [Earth](examples.md#earth) - [Spirals](examples.md#spirals) - [Spring](examples.md#spring) - [Train](examples.md#train) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/1.6.7/mac/lights.md000066400000000000000000000130111450355336000200050ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a scene for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/1.6.7/mac/literals.md000066400000000000000000000135021450355336000203370ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a decimal literal false // a boolean literal "hello" // a string literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` ## Strings Strings are how human-readable text is represented in ShapeScript. These are used for a variety of purposes, including specifying file names for [imports](import.md) or [textures](materials.md#texture), [logging](debugging.md#logging) debug information to the console, or even rendering 3D text. String literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. If you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a string literal without a closing `"` is treated as an error, so if you need to include line-breaks in your string then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the string. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). A tuple of numeric values is also known as a *vector*. Vectors are used in ShapeScript to represent positions, colors, sizes and rotations. Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` You can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers. They can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, ... `last`) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.count // 3 print data.first // name print data.second // position print data.last // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` You can split up lists of data using the `allButFirst` and `allButLast` members: ```swift define data (1 2 3 4 5) print data.allButFirst // 2 3 4 5 print data.allButLast // 1 2 3 4 ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/1.6.7/mac/materials.md000066400000000000000000000223121450355336000205000ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using [string interpolation](text.md#interpolation), which is useful if you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` As with `color`, once a texture has been set it will be applied to all subsequent shapes defined in the same [scope](scope.md). To clear the current texture you can set it to an empty string: ```swift texture "" ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../../images/sandbox-error.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is applied depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../../images/textured-cube.png) ![Textured sphere](../../images/textured-sphere.png) ![Textured cylinder](../../images/textured-cylinder.png) ![Textured cone](../../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/1.6.7/mac/meshes.md000066400000000000000000000141021450355336000200010ustar00rootroot00000000000000Meshes --- While they may appear solid, the 3D shapes that ShapeScript produces are actually hollow shells composed of polygons. These polygon shells are known as [meshes](https://en.wikipedia.org/wiki/Polygon_mesh). ShapeScript provides many tools for constructing meshes, including [primitives](primitives.md), [builders](builders.md) and [CSG](csg.md) operations, but you can also create meshes manually by specifying each polygon yourself. While this is generally a tedious approach compared to the other tools, it affords you complete control over the mesh topology, and allows you to create arbitrary shapes that might be hard to achieve with higher-level tools. ## Polygons and Points A mesh is made up of one or more *polygons*, and each polygon is made up of three or more [vertices](https://en.wikipedia.org/wiki/Vertex_(geometry)) or *points*. To construct a mesh you use the `mesh`, `polygon` and `point` commands. The following code defines the simplest possible mesh - a single triangle: ```swift mesh { polygon { point 0 0 point 1 0 point 1 1 } } ``` ![Triangle](../../images/triangle-polygon.png) The `point` command accepts a [vector](literals.md#vectors-and-tuples) value. Polygons can be placed anywhere in three-dimensional space, so `point` accepts up to three values (for the X, Y and Z coordinates respectively). In this case we've just specified two values, so the Z coordinate defaults to zero. Manually constructed meshes do not currently support textures, but they inherit the current [material color](materials.md#color). Color can also be applied separately to individual vertices within a mesh. When vertices of a given polygon have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift mesh { polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } } ``` ![Colored triangle](../../images/colored-triangle.png) ## Watertightness If you rotate the triangle you will see that the back face is invisible. Most of the mesh-construction commands in ShapeScript produce shapes that are *watertight*, meaning that they do not contain any holes that would allow you to see the back faces of the polygon surface, but when you create a mesh using the `mesh` command it's up to you to ensure that the mesh you create is watertight. You can check this by selecting the mesh in the editor and [getting info](getting-started.md#debugging-and-selection). As you can see, our triangle is not watertight: ![Not watertight](../../images/not-watertight.png) Watertightness is an important quality when using [CSG](csg.md) operations, because the "solid" in Constructive Solid Geometry implies that shapes are expected to behave like solid objects (even though they are actually hollow), and holes or exposed back faces will cause glitches as ShapeScript is unable to determine whether a given point lies inside or outside the shape. To solve this, we can add another triangle with the same vertices but facing the opposite direction. But wait - we never specified the direction of the triangle face in the first place, so how does ShapeScript decide which way a polygon is facing? ## Winding order By convention, polygons in ShapeScript are assumed to be defined with [counterclockwise](https://en.wikipedia.org/wiki/Counterclockwise) (aka *anticlockwise*) winding. What that means is that when looking at the polygon from the front, the vertices will be ordered in counterclockwise direction. To add a back face we'll create a second triangle with the inverse vertex order: ```swift mesh { // Front polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Back polygon { point 1 1 point 1 0 point 0 0 } } ``` (We've left the back face white in this case, so you can tell which side is which). If you get info again you'll see that the triangle is now watertight: ## Procedural Meshes We've learned how to make a triangle, but what about something a bit more complex? For our next trick we're going to create a cube. A cube has six faces, each consisting of four vertices - 24 vertices in total. But in fact there are really only eight unique vertices, so rather than tediously typing out the same points over and over, maybe we can use the power of scripting to save ourselves some effort? First we'll define a [block](blocks.md) called "side" that creates a single side of the cube: ```swift define side { color rnd rnd rnd polygon { point -0.5 -0.5 0.5 point +0.5 -0.5 0.5 point +0.5 +0.5 0.5 point -0.5 +0.5 0.5 } } ``` Note that the `color rnd rnd rnd` - this will produce a different random color each time the block is called, making the cube a little more interesting to look at. Next we'll call `side` block six times from inside a `mesh`, passing a different orientation each time: ```swift mesh { side { orientation 0 } side { orientation 0 0.5 } side { orientation 0 1 } side { orientation 0 1.5 } side { orientation 0 0 0.5 } side { orientation 0 0 -0.5 } } ``` And voila! A colored cube: ![Cube mesh](../../images/cube-mesh.png) Obviously this is a lot more trouble than just using the [cube](primitives.md#cube) command, but hopefully you can see the potential for creating more interesting shapes. ## Concave and Non-planar Polygons In many 3D engines, meshes must be constructed exclusively from triangles. The reason for this is that by definition a triangle is always both [convex](https://en.wikipedia.org/wiki/Convex_polygon) and *planar*, meaning that all its vertices lie on the same plane, which simplifies the mathematics needed to [rasterize](https://en.wikipedia.org/wiki/Rasterisation) or render the mesh. ShapeScript places no such restrictions on the polygons that you define in your mesh. Non-planar or non-convex polygons will be automatically split into their constituent triangles as needed for [export](export.md) or display. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/1.6.7/mac/options.md000066400000000000000000000134171450355336000202200ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a texture value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name can be useful for identifying distinct shape components when [selecting them](getting-started.md#debugging-and-selection) in the viewer, or when importing a model exported from ShapeScript into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a mesh that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/1.6.7/mac/paths.md000066400000000000000000000222611450355336000176410ustar00rootroot00000000000000Paths --- A path is a sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a scene (except possibly for something like a thin rope or antenna), but they can be used to define the contours or profile of a 3D shape (see [builders](builders.md) for details). ## Points As with the [polygons](meshes.md#polygons-and-points) in a mesh, you define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be three-dimensional, so `point` accepts up to three coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of zero). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point must have the same position. The following path has four points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves in ShapeScript are typically created using [quadratic Béziers](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. Just as [3D meshes](meshes.md) are constructed from flat polygons, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift path { detail 99 point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../../images/octocircle.png) ## Arcs Arcs created by Bézier curves can approximate a circle, but not perfectly. If you need a precisely circular curve, you can use the `arc` command: ```swift arc { angle 0.5 } ``` The `angle` option defines the angular span of the arc, starting clockwise from the Y axis. The angle is measured in *half-turns* (as explained in the [Transforms](transforms.md#orientation) section) so the `0.5` in the example above produces a quarter circle: ![Quarter Circle](../../images/quarter-circle.png) To adjust the starting angle, you can use the [orientation option](transforms.md#orientation) or [rotate command](transforms.md#relative-transforms) as you would for any other shape. The following creates an arc from -45 degrees to +90 degrees: ```swift arc { orientation -0.25 angle 0.75 } ``` Arcs have a default radius of 0.5 units. You can increase or decrease this using the `size` option: ```swift arc { size 2 // radius of 1 unit (0.5 * 2) } ``` Arcs can be used in conjunction with individual path points or other arcs to make more complex shapes. The following creates a slab with curved corners: ```swift extrude path { // left arc arc { angle -0.5 } // bottom-left corner point -0.5 0 // bottom-right corner point 1.5 0 // right arc arc { position 1 0 orientation 0.5 angle -0.5 } // close path with smooth join curve 0 0.5 } ``` ![Curved slab](../../images/curved-slab.png) ## Circles If you need a complete circle, there's an even simpler way than using `arc`, which is to use the `circle` command: ```swift circle ``` Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../../images/roundrect.png) ## Regular Polygons When used outside of a `mesh`, the `polygon` command can be used to create a regular polygon. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/1.6.7/mac/primitives.md000066400000000000000000000053271450355336000207210ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct a scene. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) or [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of polygons, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/1.6.7/mac/scope.md000066400000000000000000000035651450355336000176410ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines subcomponents in your scene can use transforms and materials internally without them "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/1.6.7/mac/symbols.md000066400000000000000000000052541450355336000202150ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/1.6.7/mac/text.md000066400000000000000000000163561450355336000175160ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [string interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use string interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty string literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [string interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/1.6.7/mac/transforms.md000066400000000000000000000147101450355336000207200ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)). This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. 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\AwA*%q|>|>|>u_2%CE}q_9X޷L|>|>yL ɗ-ON9QK lYbVZ7K|>|>sS,^AWӢov k9Vj>|>|>H |!$X_}iFY7Hrlܿ{g-g >|>|>?|>_x -]5#KIENDB`ShapeScript-1.6.14/docs/index.md000077500000000000000000000030431450355336000164200ustar00rootroot00000000000000![Screenshot](https://raw.githubusercontent.com/nicklockwood/ShapeScript/master/images/Screenshot.jpg) Overview --- Welcome to ShapeScript. ShapeScript is a 3D modeling program for people who don't like 3D modeling programs. Instead of haphazardly dragging polygons and vertices around in a GUI, ShapeScript lets you define your models precisely using code. No artistic skills are required - ShapeScript does all the drawing for you. The ShapeScript app includes a parser for a simple language (also called "ShapeScript"). ShapeScript (the language) is a cross between a markup language and a programming language. You don't need to be a programmer to use ShapeScript. If you have ever worked with any kind of structured text like JSON or HTML then it should come naturally. But if you *do* have experience with programming, then you can apply those skills to create even more complex models by using loops, functions and variables to procedurally generate geometry. ShapeScript is available to download for free from the iOS and Mac App Stores respectively: [Mac App Store](https://apps.apple.com/app/id1441135869) [App Store](https://apps.apple.com/app/id1606439346) --- [Mac documentation](mac/index.md) • [iOS documentation](ios/index.md) • [Source code](https://github.com/nicklockwood/ShapeScript) ShapeScript-1.6.14/docs/ios/000077500000000000000000000000001450355336000155565ustar00rootroot00000000000000ShapeScript-1.6.14/docs/ios/blocks.md000066400000000000000000000047401450355336000173620ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/ios/bounds.md000066400000000000000000000056411450355336000174000ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needed to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Meshes](meshes.md) ShapeScript-1.6.14/docs/ios/builders.md000066400000000000000000000214301450355336000177110ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D shape: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units polygon { sides 3 } } ``` ![Prism](../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../images/roundrect-extrusion.png) In the following example, we extrude a square cross-section along a 3D path: ```swift define shape path { orientation 0 0 -0.4 curve 0 1 0.75 curve -1 0 curve 0 -1 0.25 curve 1 0 curve 1 1 curve 0 1 0.75 } extrude { square { size 0.1 } along shape } ``` ![Tangential extrusion](../images/tangential-extrusion.png) Note how the cross-section tilts as it follows the path. This can be a nice effect, but you might prefer that the cross section remains perpendicular to the world axes. To control this, you can use the `axisAligned` property: ```swift extrude { square { size 0.1 } along shape axisAligned true } ``` ![Axis-aligned extrusion](../images/axis-aligned-extrusion.png) A value of `true` for `axisAligned` means the cross section will remain perpendicular to the path, which in some cases may cause the shape to look "pinched". A value of `false` means the cross-section is always aligned to the tangent of the path, which ensures consistent thickness at the cost of inconsistent orientation. If the `axisAligned` property is omitted, ShapeScript will try to choose an appropriate alignment for the path provided to `along`. To apply a twist along the length of an extruded shape, you can use the `twist` property: ```swift extrude { square twist 0.5 } ``` ![Twisted extrusion](../images/twisted-extrusion.png) Twist uses the same [half-turn](transforms.md#orientation) units as the other rotation commands, so a twist of 0.5 equates to one quarter turn, or 90 degrees. Applying a twist will automatically increase the number of cross sections in proportion to the current [detail](options.md#detail) level to prevent distortion: ![Twisted extrusion wireframe](../images/twisted-extrusion-wireframe.png) You can combine `twist` with the `along` property to twist a curved path: ```swift extrude { square { size 0.2 } along circle twist 2 } ``` ![Twisted circle](../images/twisted-circle.png) **Note:** when extruding along a closed path, you should always use a multiple of `2` (i.e. a full rotation) for the `twist` value to avoid an ugly seam: ![Twisted circle seam](../images/twisted-circle-seam.png) ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 polygon { sides 3 } translate 0 0 2 // triangle 2 polygon { sides 3 } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../images/loftshape.png) ## Hull The `hull` command works a bit like `loft`, in that it joins together multiple paths to form a solid surface. Here is the `loft` shape above, implemented using `hull`: ```swift hull { square translate 0 0 1 circle } ``` ![Hull shape](../images/loftshape.png) So if `hull` and `loft` are the same, why have a separate command? The difference is that rather than joining sections together in a tube, `hull` forms a tight *skin* around the outside of all its child shapes, known as a [convex hull](https://en.wikipedia.org/wiki/Convex_hull). To illustrate the difference, here is the `hull` of a star shape, vs a `loft` of the same shape: ![Hull shape](../images/hull-vs-loft.png) But the real power of the `hull` command is that it's not limited to operating on paths. Unlike the other builders, you can create a hull around meshes, paths, points, or any combination. For example, here is a hull formed from a cylinder and a point: ```swift hull { cylinder point 1 0 0 } ``` ![Hull shape](../images/hull.png) This allows for a lot of interesting shapes that would be hard to create using the other commands. You might notice some odd stripes on the surface near the lip of the cylinder. As you may recall from the [detail](options.md#detail) section, curved surfaces in ShapeScript are actually formed from straight-edged polygons, with lighting used to make them appear smooth. When creating a hull from different shapes, the resultant [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) aren't always what you'd expect, which can result in lighting glitches like this. In some cases you can use the [smoothing](options.md#smoothing) command to smooth out these discrepancies, like so: ```swift smoothing 0.25 ``` ![Hull shape](../images/smoothed-hull.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/ios/camera-control.md000066400000000000000000000031351450355336000210100ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled either programmatically or via touch gestures. ## Camera Selection The camera defaults to "Front" view, which is positioned along the Z axis, looking forward towards the scene. The distance of the camera from the origin is set automatically based on volume occupied by the shapes in the scene. You can choose a different camera angle from the camera menu in the top right of the screen. [Custom cameras](cameras.md#custom-cameras) can be defined programatically. ShapeScript will remember the last selected camera for each shape file. To temporarily change the camera position, you can alter the view using touch gestures (see below). To reset the current camera back to its original position, select `Reset View`. ## Touch Controls Motion | Action :--------------------------- | :-------------------------- Rotate scene | Swipe with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Pinch Roll | Pinch, then rotate fingers ## Copy Settings It can be difficult to visualize the effect that a given position or orientation will have when defining a [custom camera](cameras.md#custom-cameras). A good solution is to use touch gestures to position the camera, then select `Copy Settings` from the camera menu. This copies a snippet of ShapeScript code which you can then paste into your `.shape` file to create the custom camera. --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/ios/cameras.md000066400000000000000000000123261450355336000175170ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your scene from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../images/custom-camera-menu-ios-1.6.4.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#image-formats): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/ios/commands.md000066400000000000000000000145701450355336000177100ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the shape, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#image-formats). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your scene is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. ## Import The `import` command is used to import an external ShapeScript or 3D geometry file. For more details on how this is used, see the [import](import.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/ios/comments.md000066400000000000000000000036061450355336000177320ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a scene. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. ## Block Comments Another way to disable a large chunk of code at once is to use a *block comment*. Block comments begin with `/*` and end with `*/`. Anything between these delimiters is considered part of the comment, even if they span multiple lines: ```swift /* // this code is disabled fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } */ ``` Block comments can also be useful if you want to place a comment in the middle of a line, for example: ```swift define a(b c d) { b /* + c */ + d } ``` Here we've excluded the `c` parameter from the result, however the code both before and after the comment is unaffected. ## Nested Comments Unlike some other languages, ShapeScript allows block comments to be nested inside each other. This is useful if you want to comment out some code that already contains comments: ```swift /* define foo { option bar 3 /* option baz 5 */ // return bar print bar } */ ``` **Note:** although nested comments are supported by ShapeScript itself, they may confuse the syntax highlighting in whichever editor you are using. Don't be alarmed if part of the comment appears in the wrong color. --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/ios/control-flow.md000066400000000000000000000111131450355336000205220ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your scene might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/ios/csg.md000066400000000000000000000075431450355336000166650ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The shape on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../images/group-vs-difference.png) The subtracted shape is removed from the result, but leaves an impression in the shape it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque shape the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The shape on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The shape on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a shape. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/ios/debugging.md000066400000000000000000000052721450355336000200410ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/ios/examples.md000066400000000000000000000042201450355336000177140ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../images/earth.png) ## Icosahedron The Icosahedron demonstrates the use of the [mesh command](meshes.md) along with [structured data](literals.md#structured-data) and [custom functions](functions.md#custom-functions) to create a complex shape that cannot easily be derived from the built-in primitives. ![Icosahedron](../images/icosahedron.png) ## Spirals The Spirals example demonstrates using the [extrude](builders.md#extrude) command to create a spiral. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spirals](../images/spirals.png) ## Spring The Spring example demonstrates how to use the [loft](builders.md#loft) command and a [for loop](control-flow.md#loops) to create a coiled spring shape. ![Spring](../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/ios/export.md000066400000000000000000000122651450355336000174270ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D scene, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript iOS App](https://apps.apple.com/app/id1606439346). Export is not available in the free ShapesScript Viewer.** To export your scene, select the export menu in the top-right of the window to unlock the export functionality. Once unlocked, this menu will display the export options. **Note:** If the `Export Image/Model` menu is grayed-out, it is most likely because your scene is still loading. Wait for the loading spinner in the top-left of the ShapeScript window to finish before trying to export. ![Loading](../images/loading-ios.png) ## Export Formats ShapeScript can export your scene in a variety of model file formats, selectable from the export menu: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
    **Note:** Not all formats support all features of ShapeScript scenes, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## Games and AR Models exported from ShapeScript are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use USD(Z) files with Apple's SceneKit and RealityKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in Stereolithography (STL) format, used by many 3D printing applications. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript scenes use the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the export menu to export your model in this orientation. ## Image Formats In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No
    If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. ## Image Options The size of the exported image defaults to the current window size at the current display resolution. You can override this size in your script file by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions), or by tapping on the size label in the export menu and selecting a different size: ![Export size](../images/export-size-ios.png) Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a [ray tracing](https://en.wikipedia.org/wiki/Ray_tracing_(graphics)) program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/ios/expressions.md000066400000000000000000000214671450355336000204740ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value % | modulo | Remainder of dividing the left value by the right value
    Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison ShapeScript includes the following equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else): Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
    **Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Linear Algebra As well as operating on individual numbers, some operators can be used with [vectors or tuples](literals.md#vectors-and-tuples). To multiply or divide a tuple of numbers by a scalar value you can use: ```swift define numbers (1 2 3 -4) print numbers * 2 // prints 2 4 6 -8 ``` You can also multiply two tuples: ```swift define left (1 2 3) define right (1 -2 3) print left * right // prints 1 -4 9 ``` Note that is a simple member-wise multiplication of the numbers. For other types of vector multiplication such as the dot or cross product see the [functions section](functions.md#linear-algebra). If the tuples have different lengths, the result will be truncated to the shorter of the two: ```swift define left (1 2 3) define right (1 -2) print left * right // prints 1 -4 ``` You can also add or subtract two lists of numbers together: ```swift define left (1 2 3) define right (1 -2 3) print left + right // prints 2 0 6 ``` Unlike with multiplication or division, adding or subtracting a shorter tuple from a longer one will preserve the length of the left side: ```swift define left (1 2 3) define right (1 -2) print left + right // prints 2 0 3 ``` Adding a longer tuple to a shorter one will not widen the result however: ```swift define left (1 2 3) define right (1 -2 3 4) print left + right // prints 2 0 3 ``` ## Boolean Algebra Along with the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
    Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members Compound values like [vectors and tuples](literals.md#vectors-and-tuples) can be decomposed by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For strings, you can use the `lines`, `words` and `characters` members: ```swift define sentence "The quick brown fox" for word in sentence { print word // prints each word on a new line } ``` For [meshes](meshes.md) you can access the `name`, `bounds` and `polygons` members, and for [polygons](meshes.md#polygons-and-points) you can use `points` to access the individual vertices. For points you can access the `position` and `color`: ```swift define triangle polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Print the vertex colors for point in triangle.points { print "position: " point.position ", color: " point.color } ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/ios/functions.md000066400000000000000000000220231450355336000201070ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sign` function (not to be confused with [sin](#trigonometry)) returns `1`, `-1` or `0` depending on the sign of the input: ```swift sign 4.5 // returns 1 sign -51 // returns -1 sign 0 // returns 0 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two or more values: ```swift min 2 4 // returns 2 min 5 0 -5.1 // returns -5.1 ``` The `max` function returns the higher of two or more values: ```swift max 2 4 // returns 4 max 5 0 -5.1 // returns 5 ``` ## Linear Algebra ShapeScript also includes functions for operating on [vectors](literals.md#vectors-and-tuples): The `dot` function is used to calculate the [dot product](https://en.wikipedia.org/wiki/Dot_product) of a pair of vectors: ```swift define up (0 1) define right (1 0) print dot(up right) // returns 0 ``` The `cross` function calculates the [cross product](https://en.wikipedia.org/wiki/Cross_product): ```swift define up (0 1) define right (1 0) print cross(up right) // returns 0 0 -1 ``` The `length` function calculates the magnitude of a vector (also known as the [norm](https://en.wikipedia.org/wiki/Euclidean_space#Euclidean_norm)): ```swift define v (3 4) print length(v) // returns 5 ``` The `normalize` function computes a [unit vector](https://en.wikipedia.org/wiki/Unit_vector) from an arbitrary vector by dividing each element by the vector length: ```swift define v (3 4) print normalize(v) // returns 0.6 0.8 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry in ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript half-turn value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript half-turn value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :---------------------| :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to half-turns | halfturns = degrees / 180 Half-turns to degrees | degrees = halfturns * 180 Radians to half-turns | halfturns = degrees / pi Half-turns to radians | radians = halfturns * pi
    Common values: Angle in degrees | Angle in radians | Angle in half-turns :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
    ## Strings ShapeScript includes a number of functions for manipulating strings. The `join` function concatenates two or more strings together, with an optional separator: ```swift define words "Hello" "World!" define greeting join words ", " print greeting // prints "Hello, World!" ``` If you don't want a delimiter, just pass an empty string as the second argument to join: ```swift define words "Hello" "World!" define greeting join(words "") print greeting // prints "HelloWorld!" ``` The `split` function breaks a string up into a tuple of substrings by splitting it at a specified delimiter: ```swift define input "comma,delimited,string" define elements split input "," print elements.second // prints "delimited" ``` The `trim` function removes any leading or trailing [white space](https://en.wikipedia.org/wiki/Whitespace_character) characters from a string: ```swift define input "comma, delimited , string,with ,spaces" define elements split input "," print elements.second // prints " delimited " print trim elements.second // prints just "delimited" without spaces ``` ## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/ios/getting-started.md000066400000000000000000000177101450355336000212130ustar00rootroot00000000000000Getting Started --- ShapeScript Viewer for iOS is designed for opening and editing 3D models and scenes that use the ShapeScript `.shape` file format. If you do not have any existing ShapeScript files, you can create one using the `+` button. You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. ![New file modal](../images/new-file-ios.png) After pressing OK you should see a new screen appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../images/new-document-ios-1.6.4.png) ## Viewing Drag your finger inside the window and you will notice that the three shapes appear to rotate. You are not actually moving the shapes themselves, but rotating the camera around them. To return to the original orientation, tap the camera icon in the top-right and select `Reset View`. To help you orient yourself, you can enable the `Show Axes` option in the camera menu, which displays the direction of the X, Y and Z axes. ![Show axes](../images/show-axes-ios-1.6.4.png) For more information about navigating around the scene, see [Camera Control](camera-control.md). ## Editing To edit your `.shape` file, tap the pencil icon in the top-right of the screen. This will open the file inside the integrated source editor: ![Integrated source editor](../images/source-editor-ios.png) Changes made to the model in the source editor will be reflected immediately in the scene (although you may need to close the source view to see them!). In addition to the built-in editor, ShapeScript also supports the use of external text editors such as [Runestone](https://apps.apple.com/app/runestone-text-editor/id1548193893) or [Subtext](https://apps.apple.com/app/subtext/id1606625287). ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Runestone) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. If you are using an iPad, you can use the [Split View](https://support.apple.com/en-gb/guide/ipad/ipad08c9970c/ipados) feature to show both ShapeScript Viewer and your text editor app on screen simultaneously: ![Split View](../images/split-view-ios-1.6.4.png) **Note:** Not all iOS text editors support *live editing* (where changes in the text are reflected automatically in ShapeScript as you make them). You may find you have to explicitly save or close the document in your editor for changes to take effect. External editors may also not immediately pick up changes you make using the built-in source editor, so be careful when switching between them. ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. The shapes are made out of flat polygons, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many polygons will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your scene so that you avoid having to work with very large numbers (thousands of units), or very small ones (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assumed to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../images/yellow-cube-ios-1.6.4.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../images/error-screen-ios-1.6.4.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use undo feature in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection To get information about your scene (such as polygon count and overall dimensions), tap the info button in the top-right corder of the screen. To get info about a particular shape in the scene, tap on it in the viewer to select it then press the info button. This will also tell you which line in the `.shape` file defines that component. Tap outside of the shape to deselect it again. ![Object info](../images/object-info-ios-1.6.4.png) **Note:** If you are having trouble identifying a particular shape from your `.shape` file, you can use the [debug command](debugging.md) to highlight it in the viewer. --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/ios/glossary.md000066400000000000000000000032301450355336000177410ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Half-turn | The unit used to specify angles or rotations in ShapeScript Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/ios/groups.md000066400000000000000000000025131450355336000174200ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs, etc. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [options](options.md) (material, detail, etc.) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the position of subsequent shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../images/group.png) **Note:** Changes made to properties such as transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/ios/import.md000066400000000000000000000056301450355336000174160ustar00rootroot00000000000000Import --- ## Scripts ShapeScript files can get quite large for complicated scenes, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` Here we've used `import` to load an external ShapeScript file and evaluate it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Models The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. ## Text and Data In addition to scripts and standard model formats, text files can be imported as a [string](literals.md#strings) value. ```swift define text { import "Text.txt" } ``` Imported strings can then be displayed directly, or further processed using ShapeScript's [string functions](functions.md#strings): ```swift for line in text.lines { print (trim line) } ``` As well as plain text, ShapeScript also supports importing JSON files as [structured data](literals.md#structured-data): ```swift define data { import "Data.json" } ``` ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](examples.md) ShapeScript-1.6.14/docs/ios/index.md000066400000000000000000000157471450355336000172250ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Viewing](getting-started.md#viewing) - [Editing](getting-started.md#editing) - [File Structure](getting-started.md#file-structure) - [Next Steps](getting-started.md#next-steps) - [Debugging and Selection](getting-started.md#debugging-and-selection) - [Camera Control](camera-control.md) - [Camera Selection](camera-control.md#camera-selection) - [Mouse Control](camera-control.md#mouse-control) - [Trackpad Control](camera-control.md#trackpad-control) - [Copy Settings](camera-control.md#copy-settings) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Meshes](meshes.md) - [Polygons and Points](meshes.md#polygons-and-points) - [Watertightness](meshes.md#watertightness) - [Winding order](meshes.md#winding-order) - [Procedural Meshes](meshes.md#procedural-meshes) - [Concave and Non-planar Polygons](meshes.md#concave-and-non-planar-polygons) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Arcs](paths.md#arcs) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Hull](builders.md#hull) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Groups](groups.md) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Block Comments](comments.md#block-comments) - [Nested Comments](comments.md#nested-comments) - [Literals](literals.md) - [Strings](literals.md#strings) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Linear Algebra](expressions.md#linear-algebra) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Linear Algebra](functions.md#linear-algebra) - [Trigonometry](functions.md#trigonometry) - [Strings](functions.md#strings) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Import](commands.md#import) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Scripts](import.md#scripts) - [Models](import.md#models) - [Text and Data](import.md#text-and-data) - [Dynamic Imports](import.md#dynamic-imports) - [Export](export.md) - [Export Formats](export.md#export-formats) - [Games and AR](export.md#games-and-ar) - [3D Printing](export.md#3d-printing) - [Image Formats](export.md#image-formats) - [Image Options](export.md#image-options) - [Examples](examples.md) - [Ball](examples.md#ball) - [Chessboard](examples.md#chessboard) - [Cog](examples.md#cog) - [Earth](examples.md#earth) - [Icosahedron](examples.md#icosahedron) - [Spirals](examples.md#spirals) - [Spring](examples.md#spring) - [Train](examples.md#train) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/ios/lights.md000066400000000000000000000127641450355336000174040ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a scene for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/ios/literals.md000066400000000000000000000135021450355336000177200ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a decimal literal false // a boolean literal "hello" // a string literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` ## Strings Strings are how human-readable text is represented in ShapeScript. These are used for a variety of purposes, including specifying file names for [imports](import.md) or [textures](materials.md#texture), [logging](debugging.md#logging) debug information to the console, or even rendering 3D text. String literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. If you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a string literal without a closing `"` is treated as an error, so if you need to include line-breaks in your string then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the string. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). A tuple of numeric values is also known as a *vector*. Vectors are used in ShapeScript to represent positions, colors, sizes and rotations. Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` You can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers. They can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, ... `last`) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.count // 3 print data.first // name print data.second // position print data.last // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` You can split up lists of data using the `allButFirst` and `allButLast` members: ```swift define data (1 2 3 4 5) print data.allButFirst // 2 3 4 5 print data.allButLast // 1 2 3 4 ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/ios/materials.md000066400000000000000000000223051450355336000200630ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
    For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
    You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using [string interpolation](text.md#interpolation), which is useful if you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` As with `color`, once a texture has been set it will be applied to all subsequent shapes defined in the same [scope](scope.md). To clear the current texture you can set it to an empty string: ```swift texture "" ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../images/sandbox-error-ios-1.6.4.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is applied depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../images/textured-cube.png) ![Textured sphere](../images/textured-sphere.png) ![Textured cylinder](../images/textured-cylinder.png) ![Textured cone](../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/ios/meshes.md000066400000000000000000000140661450355336000173730ustar00rootroot00000000000000Meshes --- While they may appear solid, the 3D shapes that ShapeScript produces are actually hollow shells composed of polygons. These polygon shells are known as [meshes](https://en.wikipedia.org/wiki/Polygon_mesh). ShapeScript provides many tools for constructing meshes, including [primitives](primitives.md), [builders](builders.md) and [CSG](csg.md) operations, but you can also create meshes manually by specifying each polygon yourself. While this is generally a tedious approach compared to the other tools, it affords you complete control over the mesh topology, and allows you to create arbitrary shapes that might be hard to achieve with higher-level tools. ## Polygons and Points A mesh is made up of one or more *polygons*, and each polygon is made up of three or more [vertices](https://en.wikipedia.org/wiki/Vertex_(geometry)) or *points*. To construct a mesh you use the `mesh`, `polygon` and `point` commands. The following code defines the simplest possible mesh - a single triangle: ```swift mesh { polygon { point 0 0 point 1 0 point 1 1 } } ``` ![Triangle](../images/triangle-polygon.png) The `point` command accepts a [vector](literals.md#vectors-and-tuples) value. Polygons can be placed anywhere in three-dimensional space, so `point` accepts up to three values (for the X, Y and Z coordinates respectively). In this case we've just specified two values, so the Z coordinate defaults to zero. Manually constructed meshes do not currently support textures, but they inherit the current [material color](materials.md#color). Color can also be applied separately to individual vertices within a mesh. When vertices of a given polygon have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift mesh { polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } } ``` ![Colored triangle](../images/colored-triangle.png) ## Watertightness If you rotate the triangle you will see that the back face is invisible. Most of the mesh-construction commands in ShapeScript produce shapes that are *watertight*, meaning that they do not contain any holes that would allow you to see the back faces of the polygon surface, but when you create a mesh using the `mesh` command it's up to you to ensure that the mesh you create is watertight. You can check this by selecting the mesh in the editor and [getting info](getting-started.md#debugging-and-selection). As you can see, our triangle is not watertight: ![Not watertight](../images/not-watertight.png) Watertightness is an important quality when using [CSG](csg.md) operations, because the "solid" in Constructive Solid Geometry implies that shapes are expected to behave like solid objects (even though they are actually hollow), and holes or exposed back faces will cause glitches as ShapeScript is unable to determine whether a given point lies inside or outside the shape. To solve this, we can add another triangle with the same vertices but facing the opposite direction. But wait - we never specified the direction of the triangle face in the first place, so how does ShapeScript decide which way a polygon is facing? ## Winding order By convention, polygons in ShapeScript are assumed to be defined with [counterclockwise](https://en.wikipedia.org/wiki/Counterclockwise) (aka *anticlockwise*) winding. What that means is that when looking at the polygon from the front, the vertices will be ordered in counterclockwise direction. To add a back face we'll create a second triangle with the inverse vertex order: ```swift mesh { // Front polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Back polygon { point 1 1 point 1 0 point 0 0 } } ``` (We've left the back face white in this case, so you can tell which side is which). If you get info again you'll see that the triangle is now watertight: ## Procedural Meshes We've learned how to make a triangle, but what about something a bit more complex? For our next trick we're going to create a cube. A cube has six faces, each consisting of four vertices - 24 vertices in total. But in fact there are really only eight unique vertices, so rather than tediously typing out the same points over and over, maybe we can use the power of scripting to save ourselves some effort? First we'll define a [block](blocks.md) called "side" that creates a single side of the cube: ```swift define side { color rnd rnd rnd polygon { point -0.5 -0.5 0.5 point +0.5 -0.5 0.5 point +0.5 +0.5 0.5 point -0.5 +0.5 0.5 } } ``` Note that the `color rnd rnd rnd` - this will produce a different random color each time the block is called, making the cube a little more interesting to look at. Next we'll call `side` block six times from inside a `mesh`, passing a different orientation each time: ```swift mesh { side { orientation 0 } side { orientation 0 0.5 } side { orientation 0 1 } side { orientation 0 1.5 } side { orientation 0 0 0.5 } side { orientation 0 0 -0.5 } } ``` And voila! A colored cube: ![Cube mesh](../images/cube-mesh.png) Obviously this is a lot more trouble than just using the [cube](primitives.md#cube) command, but hopefully you can see the potential for creating more interesting shapes. ## Concave and Non-planar Polygons In many 3D engines, meshes must be constructed exclusively from triangles. The reason for this is that by definition a triangle is always both [convex](https://en.wikipedia.org/wiki/Convex_polygon) and *planar*, meaning that all its vertices lie on the same plane, which simplifies the mathematics needed to [rasterize](https://en.wikipedia.org/wiki/Rasterisation) or render the mesh. ShapeScript places no such restrictions on the polygons that you define in your mesh. Non-planar or non-convex polygons will be automatically split into their constituent triangles as needed for [export](export.md) or display. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/ios/options.md000066400000000000000000000134111450355336000175730ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a texture value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name can be useful for identifying distinct shape components when [selecting them](getting-started.md#debugging-and-selection) in the viewer, or when importing a model exported from ShapeScript into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a mesh that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/ios/paths.md000066400000000000000000000222041450355336000172170ustar00rootroot00000000000000Paths --- A path is a sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a scene (except possibly for something like a thin rope or antenna), but they can be used to define the contours or profile of a 3D shape (see [builders](builders.md) for details). ## Points As with the [polygons](meshes.md#polygons-and-points) in a mesh, you define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be three-dimensional, so `point` accepts up to three coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of zero). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point must have the same position. The following path has four points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves in ShapeScript are typically created using [quadratic Béziers](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. Just as [3D meshes](meshes.md) are constructed from flat polygons, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift path { detail 99 point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../images/octocircle.png) ## Arcs Arcs created by Bézier curves can approximate a circle, but not perfectly. If you need a precisely circular curve, you can use the `arc` command: ```swift arc { angle 0.5 } ``` The `angle` option defines the angular span of the arc, starting clockwise from the Y axis. The angle is measured in *half-turns* (as explained in the [Transforms](transforms.md#orientation) section) so the `0.5` in the example above produces a quarter circle: ![Quarter Circle](../images/quarter-circle.png) To adjust the starting angle, you can use the [orientation option](transforms.md#orientation) or [rotate command](transforms.md#relative-transforms) as you would for any other shape. The following creates an arc from -45 degrees to +90 degrees: ```swift arc { orientation -0.25 angle 0.75 } ``` Arcs have a default radius of 0.5 units. You can increase or decrease this using the `size` option: ```swift arc { size 2 // radius of 1 unit (0.5 * 2) } ``` Arcs can be used in conjunction with individual path points or other arcs to make more complex shapes. The following creates a slab with curved corners: ```swift extrude path { // left arc arc { angle -0.5 } // bottom-left corner point -0.5 0 // bottom-right corner point 1.5 0 // right arc arc { position 1 0 orientation 0.5 angle -0.5 } // close path with smooth join curve 0 0.5 } ``` ![Curved slab](../images/curved-slab.png) ## Circles If you need a complete circle, there's an even simpler way than using `arc`, which is to use the `circle` command: ```swift circle ``` Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../images/roundrect.png) ## Regular Polygons When used outside of a `mesh`, the `polygon` command can be used to create a regular polygon. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/ios/primitives.md000066400000000000000000000053051450355336000202760ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct a scene. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) or [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of polygons, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/ios/scope.md000066400000000000000000000035651450355336000172220ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines subcomponents in your scene can use transforms and materials internally without them "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/ios/symbols.md000066400000000000000000000052541450355336000175760ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/ios/text.md000066400000000000000000000163231450355336000170710ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [string interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use string interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty string literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [string interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/ios/transforms.md000066400000000000000000000147101450355336000203010ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)). This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. For example the following code applies a pitch of 45 degrees followed by a roll of 80 degrees, which would be very difficult to express as a single `rotate` or `orientation` instruction due to the fixed roll-yaw-pitch order: ```swift rotate 0 0 0.25 // pitch 45 degrees rotate 0.4 0 0 // roll 80 degrees cube ``` --- [Index](index.md) | Next: [Bounds](bounds.md) ShapeScript-1.6.14/docs/mac/000077500000000000000000000000001450355336000155245ustar00rootroot00000000000000ShapeScript-1.6.14/docs/mac/blocks.md000077500000000000000000000047401450355336000173330ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/mac/bounds.md000077500000000000000000000056411450355336000173510ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needed to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Meshes](meshes.md) ShapeScript-1.6.14/docs/mac/builders.md000077500000000000000000000214301450355336000176620ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D shape: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units polygon { sides 3 } } ``` ![Prism](../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../images/roundrect-extrusion.png) In the following example, we extrude a square cross-section along a 3D path: ```swift define shape path { orientation 0 0 -0.4 curve 0 1 0.75 curve -1 0 curve 0 -1 0.25 curve 1 0 curve 1 1 curve 0 1 0.75 } extrude { square { size 0.1 } along shape } ``` ![Tangential extrusion](../images/tangential-extrusion.png) Note how the cross-section tilts as it follows the path. This can be a nice effect, but you might prefer that the cross section remains perpendicular to the world axes. To control this, you can use the `axisAligned` property: ```swift extrude { square { size 0.1 } along shape axisAligned true } ``` ![Axis-aligned extrusion](../images/axis-aligned-extrusion.png) A value of `true` for `axisAligned` means the cross section will remain perpendicular to the path, which in some cases may cause the shape to look "pinched". A value of `false` means the cross-section is always aligned to the tangent of the path, which ensures consistent thickness at the cost of inconsistent orientation. If the `axisAligned` property is omitted, ShapeScript will try to choose an appropriate alignment for the path provided to `along`. To apply a twist along the length of an extruded shape, you can use the `twist` property: ```swift extrude { square twist 0.5 } ``` ![Twisted extrusion](../images/twisted-extrusion.png) Twist uses the same [half-turn](transforms.md#orientation) units as the other rotation commands, so a twist of 0.5 equates to one quarter turn, or 90 degrees. Applying a twist will automatically increase the number of cross sections in proportion to the current [detail](options.md#detail) level to prevent distortion: ![Twisted extrusion wireframe](../images/twisted-extrusion-wireframe.png) You can combine `twist` with the `along` property to twist a curved path: ```swift extrude { square { size 0.2 } along circle twist 2 } ``` ![Twisted circle](../images/twisted-circle.png) **Note:** when extruding along a closed path, you should always use a multiple of `2` (i.e. a full rotation) for the `twist` value to avoid an ugly seam: ![Twisted circle seam](../images/twisted-circle-seam.png) ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 polygon { sides 3 } translate 0 0 2 // triangle 2 polygon { sides 3 } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../images/loftshape.png) ## Hull The `hull` command works a bit like `loft`, in that it joins together multiple paths to form a solid surface. Here is the `loft` shape above, implemented using `hull`: ```swift hull { square translate 0 0 1 circle } ``` ![Hull shape](../images/loftshape.png) So if `hull` and `loft` are the same, why have a separate command? The difference is that rather than joining sections together in a tube, `hull` forms a tight *skin* around the outside of all its child shapes, known as a [convex hull](https://en.wikipedia.org/wiki/Convex_hull). To illustrate the difference, here is the `hull` of a star shape, vs a `loft` of the same shape: ![Hull shape](../images/hull-vs-loft.png) But the real power of the `hull` command is that it's not limited to operating on paths. Unlike the other builders, you can create a hull around meshes, paths, points, or any combination. For example, here is a hull formed from a cylinder and a point: ```swift hull { cylinder point 1 0 0 } ``` ![Hull shape](../images/hull.png) This allows for a lot of interesting shapes that would be hard to create using the other commands. You might notice some odd stripes on the surface near the lip of the cylinder. As you may recall from the [detail](options.md#detail) section, curved surfaces in ShapeScript are actually formed from straight-edged polygons, with lighting used to make them appear smooth. When creating a hull from different shapes, the resultant [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) aren't always what you'd expect, which can result in lighting glitches like this. In some cases you can use the [smoothing](options.md#smoothing) command to smooth out these discrepancies, like so: ```swift smoothing 0.25 ``` ![Hull shape](../images/smoothed-hull.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/mac/camera-control.md000077500000000000000000000043721450355336000207650ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled either programmatically or via mouse or trackpad. ## Camera Selection The camera defaults to "Front" view, which is positioned along the Z axis, looking forward towards the scene. The distance of the camera from the origin is set automatically based on volume occupied by the shapes in the scene. You can choose a different camera angle from the `View > Camera` menu. [Custom cameras](cameras.md#custom-cameras) can be defined programatically. ShapeScript will remember the last selected camera for each shape file. To temporarily change the camera position, you can alter the view using the mouse or trackpad (see below). To reset the current camera back to its original position, select the `View > Camera > Reset` menu, or press **Cmd-0** on the keyboard. ## Mouse Control **Note:** The instructions below assume the use of an Apple Magic Mouse. Controls for other mice may differ. Motion | Action :--------------------------- | :-------------------------- Rotate scene | Hold the mouse button and drag Pan up/down/left/right | Either swipe the mouse surface with one finger, or hold Shift + mouse button and drag Zoom in and out | Hold Shift, then swipe up or down on the mouse surface with one finger
    ## Trackpad Control Motion | Action :--------------------------- | :-------------------------- Rotate scene | Click and drag with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Either pinch, or hold Shift + swipe up or down with two fingers Roll | Pinch, then rotate fingers
    ## Copy Settings It can be difficult to visualize the effect that a given position or orientation will have when defining a [custom camera](cameras.md#custom-cameras). A good solution is to use touch gestures to position the camera, then select `View > Copy Camera Settings`, or press **Cmd-Shift-C** on the keyboard. This copies a snippet of ShapeScript code which you can then paste into your `.shape` file to create the custom camera. --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/mac/cameras.md000077500000000000000000000123141450355336000174650ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your scene from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../images/custom-camera-menu.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#image-formats): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/mac/commands.md000077500000000000000000000145701450355336000176610ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the shape, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#image-formats). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your scene is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. ## Import The `import` command is used to import an external ShapeScript or 3D geometry file. For more details on how this is used, see the [import](import.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/mac/comments.md000077500000000000000000000036061450355336000177030ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a scene. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. ## Block Comments Another way to disable a large chunk of code at once is to use a *block comment*. Block comments begin with `/*` and end with `*/`. Anything between these delimiters is considered part of the comment, even if they span multiple lines: ```swift /* // this code is disabled fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } */ ``` Block comments can also be useful if you want to place a comment in the middle of a line, for example: ```swift define a(b c d) { b /* + c */ + d } ``` Here we've excluded the `c` parameter from the result, however the code both before and after the comment is unaffected. ## Nested Comments Unlike some other languages, ShapeScript allows block comments to be nested inside each other. This is useful if you want to comment out some code that already contains comments: ```swift /* define foo { option bar 3 /* option baz 5 */ // return bar print bar } */ ``` **Note:** although nested comments are supported by ShapeScript itself, they may confuse the syntax highlighting in whichever editor you are using. Don't be alarmed if part of the comment appears in the wrong color. --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/mac/control-flow.md000077500000000000000000000111131450355336000204730ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your scene might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/mac/csg.md000077500000000000000000000075431450355336000166360ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The shape on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../images/group-vs-difference.png) The subtracted shape is removed from the result, but leaves an impression in the shape it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque shape the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The shape on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The shape on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a shape. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/mac/debugging.md000077500000000000000000000052721450355336000200120ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/mac/examples.md000066400000000000000000000042201450355336000176620ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../images/earth.png) ## Icosahedron The Icosahedron demonstrates the use of the [mesh command](meshes.md) along with [structured data](literals.md#structured-data) and [custom functions](functions.md#custom-functions) to create a complex shape that cannot easily be derived from the built-in primitives. ![Icosahedron](../images/icosahedron.png) ## Spirals The Spirals example demonstrates using the [extrude](builders.md#extrude) command to create a spiral. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spirals](../images/spirals.png) ## Spring The Spring example demonstrates how to use the [loft](builders.md#loft) command and a [for loop](control-flow.md#loops) to create a coiled spring shape. ![Spring](../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/mac/export.md000077500000000000000000000127711450355336000174020ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D scene, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript Mac App](https://apps.apple.com/app/id1441135869). Export is not available in the free ShapesScript Viewer.** To export your scene, select the `File > Unlock Export Feature…` menu (**Cmd-Shift-E**) to unlock the export functionality. Once unlocked, this menu will change to `Export…`. **Note:** If the `Export…` menu is grayed-out, it is most likely because your scene is still loading. Wait for the loading spinner in the top-left of the ShapeScript document window to finish before trying to export. ![Loading](../images/loading.png) ## Export Formats ShapeScript can export your scene in a variety of model formats, selectable from the export window: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
    **Note:** Not all formats support all features of ShapeScript scenes, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## Games and AR Models exported from ShapeScript are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use USD(Z) files with Apple's SceneKit and RealityKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in Stereolithography (STL) format, used by many 3D printing applications. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript scenes use the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the export window to export your model in this orientation. ## Image Formats In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ gif | Graphics Interchange Format | Yes png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No jpf / jp2 | JPEG 2000 | Yes tif / tiff | Tagged Image File Format | Yes bmp | Bitmap | No
    If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. ## Image Options The size of the exported image defaults to the current window size at the current display resolution. You can override this size in your script file by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions), or by clicking on the size label in the export window and selecting a different size: ![Export size](../images/export-size.png) Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a [ray tracing](https://en.wikipedia.org/wiki/Ray_tracing_(graphics)) program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/mac/expressions.md000066400000000000000000000214671450355336000204420ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value % | modulo | Remainder of dividing the left value by the right value
    Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison ShapeScript includes the following equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else): Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
    **Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Linear Algebra As well as operating on individual numbers, some operators can be used with [vectors or tuples](literals.md#vectors-and-tuples). To multiply or divide a tuple of numbers by a scalar value you can use: ```swift define numbers (1 2 3 -4) print numbers * 2 // prints 2 4 6 -8 ``` You can also multiply two tuples: ```swift define left (1 2 3) define right (1 -2 3) print left * right // prints 1 -4 9 ``` Note that is a simple member-wise multiplication of the numbers. For other types of vector multiplication such as the dot or cross product see the [functions section](functions.md#linear-algebra). If the tuples have different lengths, the result will be truncated to the shorter of the two: ```swift define left (1 2 3) define right (1 -2) print left * right // prints 1 -4 ``` You can also add or subtract two lists of numbers together: ```swift define left (1 2 3) define right (1 -2 3) print left + right // prints 2 0 6 ``` Unlike with multiplication or division, adding or subtracting a shorter tuple from a longer one will preserve the length of the left side: ```swift define left (1 2 3) define right (1 -2) print left + right // prints 2 0 3 ``` Adding a longer tuple to a shorter one will not widen the result however: ```swift define left (1 2 3) define right (1 -2 3 4) print left + right // prints 2 0 3 ``` ## Boolean Algebra Along with the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
    Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members Compound values like [vectors and tuples](literals.md#vectors-and-tuples) can be decomposed by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For strings, you can use the `lines`, `words` and `characters` members: ```swift define sentence "The quick brown fox" for word in sentence { print word // prints each word on a new line } ``` For [meshes](meshes.md) you can access the `name`, `bounds` and `polygons` members, and for [polygons](meshes.md#polygons-and-points) you can use `points` to access the individual vertices. For points you can access the `position` and `color`: ```swift define triangle polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Print the vertex colors for point in triangle.points { print "position: " point.position ", color: " point.color } ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/mac/functions.md000066400000000000000000000220231450355336000200550ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sign` function (not to be confused with [sin](#trigonometry)) returns `1`, `-1` or `0` depending on the sign of the input: ```swift sign 4.5 // returns 1 sign -51 // returns -1 sign 0 // returns 0 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two or more values: ```swift min 2 4 // returns 2 min 5 0 -5.1 // returns -5.1 ``` The `max` function returns the higher of two or more values: ```swift max 2 4 // returns 4 max 5 0 -5.1 // returns 5 ``` ## Linear Algebra ShapeScript also includes functions for operating on [vectors](literals.md#vectors-and-tuples): The `dot` function is used to calculate the [dot product](https://en.wikipedia.org/wiki/Dot_product) of a pair of vectors: ```swift define up (0 1) define right (1 0) print dot(up right) // returns 0 ``` The `cross` function calculates the [cross product](https://en.wikipedia.org/wiki/Cross_product): ```swift define up (0 1) define right (1 0) print cross(up right) // returns 0 0 -1 ``` The `length` function calculates the magnitude of a vector (also known as the [norm](https://en.wikipedia.org/wiki/Euclidean_space#Euclidean_norm)): ```swift define v (3 4) print length(v) // returns 5 ``` The `normalize` function computes a [unit vector](https://en.wikipedia.org/wiki/Unit_vector) from an arbitrary vector by dividing each element by the vector length: ```swift define v (3 4) print normalize(v) // returns 0.6 0.8 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry in ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript half-turn value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript half-turn value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :---------------------| :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to half-turns | halfturns = degrees / 180 Half-turns to degrees | degrees = halfturns * 180 Radians to half-turns | halfturns = degrees / pi Half-turns to radians | radians = halfturns * pi
    Common values: Angle in degrees | Angle in radians | Angle in half-turns :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
    ## Strings ShapeScript includes a number of functions for manipulating strings. The `join` function concatenates two or more strings together, with an optional separator: ```swift define words "Hello" "World!" define greeting join words ", " print greeting // prints "Hello, World!" ``` If you don't want a delimiter, just pass an empty string as the second argument to join: ```swift define words "Hello" "World!" define greeting join(words "") print greeting // prints "HelloWorld!" ``` The `split` function breaks a string up into a tuple of substrings by splitting it at a specified delimiter: ```swift define input "comma,delimited,string" define elements split input "," print elements.second // prints "delimited" ``` The `trim` function removes any leading or trailing [white space](https://en.wikipedia.org/wiki/Whitespace_character) characters from a string: ```swift define input "comma, delimited , string,with ,spaces" define elements split input "," print elements.second // prints " delimited " print trim elements.second // prints just "delimited" without spaces ``` ## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/mac/getting-started.md000077500000000000000000000202321450355336000211550ustar00rootroot00000000000000Getting Started --- Start by creating a new ShapeScript document. You can do this by selecting `File > New` in the menu bar (or by pressing **Cmd-N** on the keyboard). You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. **Note:** If you cannot see the file prompt, check that it hasn't appeared *behind* this help window. The help window floats in front of all other windows and applications, so you may need to move it out of the way. You should see a new window appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../images/new-document-mac.png) ## Viewing Drag your mouse cursor inside the window and you will notice that the three objects appear to rotate. You are not actually moving the shapes themselves, but rotating the camera around them. To reset the view, select `View > Camera > Reset` or press **Cmd-0**. To help you orient yourself, you can use the `View > Show Axes` option, which displays the direction of the X, Y and Z axes. ![Show axes](../images/show-axes-mac.png) For more information about navigating around the model, see [Camera Control](camera-control.md). ## Editing To edit the 3D model, select the `Edit > Open in Editor` menu or press **Cmd-E**. ShapeScript does not include an editor. Instead, the `Open in Editor` command will ask you to select an external text editor to use. If you do not have any other editors installed, the default option will probably be TextEdit. Once opened, the file should look something like this: ![TextEdit window](../images/textedit-mac.png) ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. TextEdit will work, but is probably not the best choice as it does not support syntax coloring or any of the other programmer-friendly features of modern editors. If you have a more advanced editor such as [SubEthaEdit](https://subethaedit.net), [TextMate](https://macromates.com), [Sublime Text](https://www.sublimetext.com) or [Atom](https://atom.io) then it would be better to use one of these. An Integrated Development Environment (IDE) such as [Xcode](https://developer.apple.com/xcode/) is also a good option. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Xcode) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. ShapeScript will only ask you which editor you want to use the *first* time you edit a file, then it will remember your choice. If you change your mind later, you can select a different editor in Preferences (select the `ShapeScript > Preferences…` menu or press **Cmd-,**). ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. ShapeScript models are made out of flat polygons, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many polygons will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your models so that you avoid having to work with very large scales (thousands of units), or very small scales (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assumed to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../images/yellow-cube-mac.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../images/error-screen-mac.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use the `Edit > Undo` menu in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection You can get information about your scene (such as polygon count and overall dimensions) by selecting `View > Scene Info` (**Cmd-I**) in the menu bar. To get info about a particular shape in the scene, click on it in the viewer to select it, then use `View > Model Info` (**Cmd-I**) to get info on just the selected part. This will also tell you which line in the `.shape` file defines that component. Click outside of the shape, or press **Escape** to deselect it again. ![Object info](../images/object-info-mac.png) You can also use the `Edit > Select Shape` menu to select from a list of shapes in the scene, or cycle between selected shapes using the **Tab** key. **Note:** If you are having trouble identifying a particular shape from your `.shape` file, you can use the [debug command](debugging.md) to highlight it in the viewer. --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/mac/glossary.md000077500000000000000000000032301450355336000177120ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Half-turn | The unit used to specify angles or rotations in ShapeScript Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/mac/groups.md000077500000000000000000000025131450355336000173710ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs, etc. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [options](options.md) (material, detail, etc.) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the position of subsequent shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../images/group.png) **Note:** Changes made to properties such as transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/mac/import.md000077500000000000000000000056261450355336000173740ustar00rootroot00000000000000Import --- ## Scripts ShapeScript files can get quite large for complicated scenes, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` Here we've used `import` to load an external ShapeScript file and evaluate it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Models The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. ## Text and Data In addition to scripts and standard model formats, text files can be imported as a [string](literals.md#strings) value. ```swift define text { import "Text.txt" } ``` Imported strings can then be displayed directly, or further processed using ShapeScript's [string functions](functions.md#strings): ```swift for line in text.lines { print (trim line) } ``` As well as plain text, ShapeScript also supports importing JSON files as [structured data](literals.md#structured-data): ```swift define data { import "Data.json" } ``` ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](export.md) ShapeScript-1.6.14/docs/mac/index.md000077500000000000000000000157471450355336000171760ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Viewing](getting-started.md#viewing) - [Editing](getting-started.md#editing) - [File Structure](getting-started.md#file-structure) - [Next Steps](getting-started.md#next-steps) - [Debugging and Selection](getting-started.md#debugging-and-selection) - [Camera Control](camera-control.md) - [Camera Selection](camera-control.md#camera-selection) - [Mouse Control](camera-control.md#mouse-control) - [Trackpad Control](camera-control.md#trackpad-control) - [Copy Settings](camera-control.md#copy-settings) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Meshes](meshes.md) - [Polygons and Points](meshes.md#polygons-and-points) - [Watertightness](meshes.md#watertightness) - [Winding order](meshes.md#winding-order) - [Procedural Meshes](meshes.md#procedural-meshes) - [Concave and Non-planar Polygons](meshes.md#concave-and-non-planar-polygons) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Arcs](paths.md#arcs) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Hull](builders.md#hull) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Groups](groups.md) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Block Comments](comments.md#block-comments) - [Nested Comments](comments.md#nested-comments) - [Literals](literals.md) - [Strings](literals.md#strings) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Linear Algebra](expressions.md#linear-algebra) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Linear Algebra](functions.md#linear-algebra) - [Trigonometry](functions.md#trigonometry) - [Strings](functions.md#strings) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Import](commands.md#import) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Scripts](import.md#scripts) - [Models](import.md#models) - [Text and Data](import.md#text-and-data) - [Dynamic Imports](import.md#dynamic-imports) - [Export](export.md) - [Export Formats](export.md#export-formats) - [Games and AR](export.md#games-and-ar) - [3D Printing](export.md#3d-printing) - [Image Formats](export.md#image-formats) - [Image Options](export.md#image-options) - [Examples](examples.md) - [Ball](examples.md#ball) - [Chessboard](examples.md#chessboard) - [Cog](examples.md#cog) - [Earth](examples.md#earth) - [Icosahedron](examples.md#icosahedron) - [Spirals](examples.md#spirals) - [Spring](examples.md#spring) - [Train](examples.md#train) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/mac/lights.md000077500000000000000000000127641450355336000173550ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a scene for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/mac/literals.md000077500000000000000000000135021450355336000176710ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a decimal literal false // a boolean literal "hello" // a string literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` ## Strings Strings are how human-readable text is represented in ShapeScript. These are used for a variety of purposes, including specifying file names for [imports](import.md) or [textures](materials.md#texture), [logging](debugging.md#logging) debug information to the console, or even rendering 3D text. String literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. If you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a string literal without a closing `"` is treated as an error, so if you need to include line-breaks in your string then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the string. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). A tuple of numeric values is also known as a *vector*. Vectors are used in ShapeScript to represent positions, colors, sizes and rotations. Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` You can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers. They can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, ... `last`) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.count // 3 print data.first // name print data.second // position print data.last // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` You can split up lists of data using the `allButFirst` and `allButLast` members: ```swift define data (1 2 3 4 5) print data.allButFirst // 2 3 4 5 print data.allButLast // 1 2 3 4 ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/mac/materials.md000077500000000000000000000222731450355336000200400ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
    For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
    You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using [string interpolation](text.md#interpolation), which is useful if you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` As with `color`, once a texture has been set it will be applied to all subsequent shapes defined in the same [scope](scope.md). To clear the current texture you can set it to an empty string: ```swift texture "" ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../images/sandbox-error.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is applied depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../images/textured-cube.png) ![Textured sphere](../images/textured-sphere.png) ![Textured cylinder](../images/textured-cylinder.png) ![Textured cone](../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/mac/meshes.md000077500000000000000000000140661450355336000173440ustar00rootroot00000000000000Meshes --- While they may appear solid, the 3D shapes that ShapeScript produces are actually hollow shells composed of polygons. These polygon shells are known as [meshes](https://en.wikipedia.org/wiki/Polygon_mesh). ShapeScript provides many tools for constructing meshes, including [primitives](primitives.md), [builders](builders.md) and [CSG](csg.md) operations, but you can also create meshes manually by specifying each polygon yourself. While this is generally a tedious approach compared to the other tools, it affords you complete control over the mesh topology, and allows you to create arbitrary shapes that might be hard to achieve with higher-level tools. ## Polygons and Points A mesh is made up of one or more *polygons*, and each polygon is made up of three or more [vertices](https://en.wikipedia.org/wiki/Vertex_(geometry)) or *points*. To construct a mesh you use the `mesh`, `polygon` and `point` commands. The following code defines the simplest possible mesh - a single triangle: ```swift mesh { polygon { point 0 0 point 1 0 point 1 1 } } ``` ![Triangle](../images/triangle-polygon.png) The `point` command accepts a [vector](literals.md#vectors-and-tuples) value. Polygons can be placed anywhere in three-dimensional space, so `point` accepts up to three values (for the X, Y and Z coordinates respectively). In this case we've just specified two values, so the Z coordinate defaults to zero. Manually constructed meshes do not currently support textures, but they inherit the current [material color](materials.md#color). Color can also be applied separately to individual vertices within a mesh. When vertices of a given polygon have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift mesh { polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } } ``` ![Colored triangle](../images/colored-triangle.png) ## Watertightness If you rotate the triangle you will see that the back face is invisible. Most of the mesh-construction commands in ShapeScript produce shapes that are *watertight*, meaning that they do not contain any holes that would allow you to see the back faces of the polygon surface, but when you create a mesh using the `mesh` command it's up to you to ensure that the mesh you create is watertight. You can check this by selecting the mesh in the editor and [getting info](getting-started.md#debugging-and-selection). As you can see, our triangle is not watertight: ![Not watertight](../images/not-watertight.png) Watertightness is an important quality when using [CSG](csg.md) operations, because the "solid" in Constructive Solid Geometry implies that shapes are expected to behave like solid objects (even though they are actually hollow), and holes or exposed back faces will cause glitches as ShapeScript is unable to determine whether a given point lies inside or outside the shape. To solve this, we can add another triangle with the same vertices but facing the opposite direction. But wait - we never specified the direction of the triangle face in the first place, so how does ShapeScript decide which way a polygon is facing? ## Winding order By convention, polygons in ShapeScript are assumed to be defined with [counterclockwise](https://en.wikipedia.org/wiki/Counterclockwise) (aka *anticlockwise*) winding. What that means is that when looking at the polygon from the front, the vertices will be ordered in counterclockwise direction. To add a back face we'll create a second triangle with the inverse vertex order: ```swift mesh { // Front polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Back polygon { point 1 1 point 1 0 point 0 0 } } ``` (We've left the back face white in this case, so you can tell which side is which). If you get info again you'll see that the triangle is now watertight: ## Procedural Meshes We've learned how to make a triangle, but what about something a bit more complex? For our next trick we're going to create a cube. A cube has six faces, each consisting of four vertices - 24 vertices in total. But in fact there are really only eight unique vertices, so rather than tediously typing out the same points over and over, maybe we can use the power of scripting to save ourselves some effort? First we'll define a [block](blocks.md) called "side" that creates a single side of the cube: ```swift define side { color rnd rnd rnd polygon { point -0.5 -0.5 0.5 point +0.5 -0.5 0.5 point +0.5 +0.5 0.5 point -0.5 +0.5 0.5 } } ``` Note that the `color rnd rnd rnd` - this will produce a different random color each time the block is called, making the cube a little more interesting to look at. Next we'll call `side` block six times from inside a `mesh`, passing a different orientation each time: ```swift mesh { side { orientation 0 } side { orientation 0 0.5 } side { orientation 0 1 } side { orientation 0 1.5 } side { orientation 0 0 0.5 } side { orientation 0 0 -0.5 } } ``` And voila! A colored cube: ![Cube mesh](../images/cube-mesh.png) Obviously this is a lot more trouble than just using the [cube](primitives.md#cube) command, but hopefully you can see the potential for creating more interesting shapes. ## Concave and Non-planar Polygons In many 3D engines, meshes must be constructed exclusively from triangles. The reason for this is that by definition a triangle is always both [convex](https://en.wikipedia.org/wiki/Convex_polygon) and *planar*, meaning that all its vertices lie on the same plane, which simplifies the mathematics needed to [rasterize](https://en.wikipedia.org/wiki/Rasterisation) or render the mesh. ShapeScript places no such restrictions on the polygons that you define in your mesh. Non-planar or non-convex polygons will be automatically split into their constituent triangles as needed for [export](export.md) or display. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/mac/options.md000077500000000000000000000134111450355336000175440ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a texture value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name can be useful for identifying distinct shape components when [selecting them](getting-started.md#debugging-and-selection) in the viewer, or when importing a model exported from ShapeScript into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a mesh that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/mac/paths.md000077500000000000000000000222041450355336000171700ustar00rootroot00000000000000Paths --- A path is a sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a scene (except possibly for something like a thin rope or antenna), but they can be used to define the contours or profile of a 3D shape (see [builders](builders.md) for details). ## Points As with the [polygons](meshes.md#polygons-and-points) in a mesh, you define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be three-dimensional, so `point` accepts up to three coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of zero). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point must have the same position. The following path has four points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves in ShapeScript are typically created using [quadratic Béziers](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. Just as [3D meshes](meshes.md) are constructed from flat polygons, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift path { detail 99 point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../images/octocircle.png) ## Arcs Arcs created by Bézier curves can approximate a circle, but not perfectly. If you need a precisely circular curve, you can use the `arc` command: ```swift arc { angle 0.5 } ``` The `angle` option defines the angular span of the arc, starting clockwise from the Y axis. The angle is measured in *half-turns* (as explained in the [Transforms](transforms.md#orientation) section) so the `0.5` in the example above produces a quarter circle: ![Quarter Circle](../images/quarter-circle.png) To adjust the starting angle, you can use the [orientation option](transforms.md#orientation) or [rotate command](transforms.md#relative-transforms) as you would for any other shape. The following creates an arc from -45 degrees to +90 degrees: ```swift arc { orientation -0.25 angle 0.75 } ``` Arcs have a default radius of 0.5 units. You can increase or decrease this using the `size` option: ```swift arc { size 2 // radius of 1 unit (0.5 * 2) } ``` Arcs can be used in conjunction with individual path points or other arcs to make more complex shapes. The following creates a slab with curved corners: ```swift extrude path { // left arc arc { angle -0.5 } // bottom-left corner point -0.5 0 // bottom-right corner point 1.5 0 // right arc arc { position 1 0 orientation 0.5 angle -0.5 } // close path with smooth join curve 0 0.5 } ``` ![Curved slab](../images/curved-slab.png) ## Circles If you need a complete circle, there's an even simpler way than using `arc`, which is to use the `circle` command: ```swift circle ``` Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../images/roundrect.png) ## Regular Polygons When used outside of a `mesh`, the `polygon` command can be used to create a regular polygon. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/mac/primitives.md000077500000000000000000000053051450355336000202470ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct a scene. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) or [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of polygons, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/mac/scope.md000077500000000000000000000035651450355336000171730ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines subcomponents in your scene can use transforms and materials internally without them "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/mac/symbols.md000077500000000000000000000052541450355336000175470ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/mac/text.md000066400000000000000000000163231450355336000170370ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [string interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use string interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty string literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [string interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/mac/transforms.md000077500000000000000000000147101450355336000202520ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)). This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. For example the following code applies a pitch of 45 degrees followed by a roll of 80 degrees, which would be very difficult to express as a single `rotate` or `orientation` instruction due to the fixed roll-yaw-pitch order: ```swift rotate 0 0 0.25 // pitch 45 degrees rotate 0.4 0 0 // roll 80 degrees cube ``` --- [Index](index.md) | Next: [Bounds](bounds.md) ShapeScript-1.6.14/docs/src/000077500000000000000000000000001450355336000155535ustar00rootroot00000000000000ShapeScript-1.6.14/docs/src/blocks.md000077500000000000000000000047401450355336000173620ustar00rootroot00000000000000Blocks --- A block is a nested list of instructions, contained inside `{ ... }` braces. Some commands, such as [builders](builders.md) or [CSG operations](csg.md), accept a block parameter instead of a simple value like a number or [vector](literals.md#vectors-and-tuples). Instructions inside a block are executed within the [scope](scope.md) of the command that invoked them. Typically that means that any transforms or material changes made inside the block will only apply to geometry created inside the same block. This also applies to any symbols that you define inside the block. You can define your own blocks using the `define` command. Here is a block that creates a five-pointed star: ```swift define star { path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } } ``` You can call it by simply referencing its name, like this: ```swift star ``` ![Star](../images/star.png) **Note:** there is a subtle distinction between the code above and the code below: ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } ``` In the original code, we defined a new block symbol that creates a star-shaped path. In the code above we've defined a symbol whose value is a star-shaped path. The former code is evaluated at the point when it is *called*, whereas the latter code is evaluated at the point when it is *defined*. The end-result is the same in this case, so it may seem like the distinction doesn't matter, but the advantage of the former approach is that we can add *options* to vary the behavior of the code when it is called. ## Options To add an option to a block, you use the `option` command. This works in a similar way to the [define](symbols.md) command, but it allows the specified value to be overridden by the caller. The code below extends the `star` definition with options for the radius and number of points: ```swift define star { option radius 1 option points 5 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now we can use those options to create a star with 6 points if we choose: ```swift star { points 6 radius 2 } ``` ![Star](../images/six-pointed-star.png) --- [Index](index.md) | Next: [Scope](scope.md) ShapeScript-1.6.14/docs/src/bounds.md000077500000000000000000000056411450355336000174000ustar00rootroot00000000000000Bounds --- ShapeScript's [size](transforms.md#size) ands [scale](transforms.md#relative-transforms) commands let you control the relative size of a shape, but sometimes it's useful to know the exact dimensions. A cube of size 1 has an easily-predicted size of one world unit square, but what about a more complex shape, such as a 5-pointed star (see the [procedural paths](paths.md#procedural-paths) and [blocks](blocks.md) sections for details): ```swift define star path { for 1 to 5 { point 0 -0.5 rotate 1 / 5 point 0 -1 rotate 1 / 5 } point 0 -0.5 } // draw star extrude { color red star } // draw cube cube { color green 0.5 } ``` ![Star with unit cube](../images/star-with-unit-cube.png) We can see that the star is larger than the unit cube, but other than trial-and-error or complex math, how can we get the exact size? This is where the `bounds` [member property](expressions.md#members) comes in. ## Mesh Bounds Paths and meshes both expose a `bounds` property that represents a bounding box around the shape. From this you can get the exact size and position needed to place a box around the star: ```swift define star { ... } // define star shape define shape extrude { color red star } // draw star shape // draw box around star cube { color green 0.5 position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted cube](../images/star-with-fitted-cube.png) ## Path Bounds In the example above we computed the bounds of a solid `mesh` (an extruded star-shaped `path`) but you can also get the bounds of a `path` directly. The following code draws the star path inside its bounding rectangle: ```swift define star { ... } // draw star star // draw rectangle around star square { position shape.bounds.center size shape.bounds.size } ``` ![Star with fitted rectangle](../images/star-with-fitted-rect.png) ## Bounds Members The `bounds` member property has the following sub-properties that you can use: * `min` - The position of the corner of the box with the smallest X, Y and Z values relative to the origin. * `max` - The position of the corner of the box with the largest X, Y and Z values relative to the origin. * `center` - The position of the center of the box relative to the origin. * `size` - The size (width, height and depth) of the box in world units. * `width` - The width of the box along the X axis (equivalent to `size.width`) * `height` - The height of the box along the Y axis (equivalent to `size.height`) * `depth` - The depth of the box along the Z axis (equivalent to `size.depth`) So, for example, to get the height of a shape, you could use: ```swift print someShape.bounds.size.height ``` or just: ```swift print someShape.bounds.height ``` And to get the X coordinate of its rightmost edge you could use: ```swift print someShape.bounds.max.x ``` --- [Index](index.md) | Next: [Meshes](meshes.md) ShapeScript-1.6.14/docs/src/builders.md000077500000000000000000000214301450355336000177110ustar00rootroot00000000000000Builders --- We explored some basic 3D shape types in the [primitives](primitives.md) section, but the real power of ShapeScript comes from the ability to define custom shapes. In the [paths](paths.md) section we looked at how to define custom shapes using paths. ShapeScript has a variety of built-in commands for creating 3D shapes from paths, called *builders*: ## Fill The most basic shape builder is the `fill` command, which creates a filled polygon from a path. Using the pentagon path we defined earlier, we can use `fill` to create a solid pentagon: ``` fill path { for 0 to 5 { point 0 1 rotate 2 / 5 } } ``` ![Filled Pentagon](../images/filled-pentagon.png) Unlike a path, a filled shape can have a color and texture, but it has zero thickness. If a path contains multiple overlapping sub-paths, they will be filled using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, the [overlapping circles](paths.md#nested-paths) path would be filled like this: ```swift fill path { circle translate 0.5 scale 0.5 circle } ``` ![Even-odd Fill](../images/even-odd-fill.png) ## Lathe The `lathe` command creates a 3D shape from a 2D path by revolving it around the Y axis. To use `lathe`, you must first define a suitable path. For example, the following code defines the *profile* (one half of the outline) of a chess piece: ```swift path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn outline](../images/pawn-profile.png) When passed to the `lathe` command, the path creates a solid 3D shape: ```swift lathe path { curve 0 0.78 curve -0.15 0.7 curve -0.15 0.5 point -0.07 0.45 curve -0.12 0.2 point -0.25 0.1 point -0.25 0 point 0 0 } ``` ![Pawn](../images/pawn.png) As with other curved shapes such as the `sphere` and `cone`, the smoothness of the lathed surface can be controlled using the `detail` and `smoothing` commands. The path describing the profile of the lathed shape was in this case open-ended. Since the ends meet at the Y axis anyway, the resultant shape will still be closed. Open paths that do not touch the axis will produce a hollow shape with visible holes. Lathed paths must lie flat on the XY plane, and be positioned entirely to one side of the Y axis. Any points on the path with a non-zero Z coordinate will be flattened, and parts of the path that cross the Y axis will be clipped before lathing. ## Extrude The `extrude` command extrudes a 2D path along the Z axis. The path therefore represents a cross-section of the final shape. The default extrusion distance is 1 unit, but it can be overridden using the `size` option or relative `scale` command (as described in [transforms](transforms.md)). In the following example, `extrude` is used to create a triangular prism: ```swift extrude { size 1 1 2 // increase extrusion distance to 2 units polygon { sides 3 } } ``` ![Prism](../images/prism.png) You can also extrude a shape *along* another path using the `along` option. In the following example, a circle is extruded along a rounded rectangle: ```swift extrude { circle along roundrect { size 5 } } ``` ![Rounded rectangle with circle cross-section](../images/roundrect-extrusion.png) In the following example, we extrude a square cross-section along a 3D path: ```swift define shape path { orientation 0 0 -0.4 curve 0 1 0.75 curve -1 0 curve 0 -1 0.25 curve 1 0 curve 1 1 curve 0 1 0.75 } extrude { square { size 0.1 } along shape } ``` ![Tangential extrusion](../images/tangential-extrusion.png) Note how the cross-section tilts as it follows the path. This can be a nice effect, but you might prefer that the cross section remains perpendicular to the world axes. To control this, you can use the `axisAligned` property: ```swift extrude { square { size 0.1 } along shape axisAligned true } ``` ![Axis-aligned extrusion](../images/axis-aligned-extrusion.png) A value of `true` for `axisAligned` means the cross section will remain perpendicular to the path, which in some cases may cause the shape to look "pinched". A value of `false` means the cross-section is always aligned to the tangent of the path, which ensures consistent thickness at the cost of inconsistent orientation. If the `axisAligned` property is omitted, ShapeScript will try to choose an appropriate alignment for the path provided to `along`. To apply a twist along the length of an extruded shape, you can use the `twist` property: ```swift extrude { square twist 0.5 } ``` ![Twisted extrusion](../images/twisted-extrusion.png) Twist uses the same [half-turn](transforms.md#orientation) units as the other rotation commands, so a twist of 0.5 equates to one quarter turn, or 90 degrees. Applying a twist will automatically increase the number of cross sections in proportion to the current [detail](options.md#detail) level to prevent distortion: ![Twisted extrusion wireframe](../images/twisted-extrusion-wireframe.png) You can combine `twist` with the `along` property to twist a curved path: ```swift extrude { square { size 0.2 } along circle twist 2 } ``` ![Twisted circle](../images/twisted-circle.png) **Note:** when extruding along a closed path, you should always use a multiple of `2` (i.e. a full rotation) for the `twist` value to avoid an ugly seam: ![Twisted circle seam](../images/twisted-circle-seam.png) ## Loft The `loft` command is similar to `extrude`, but instead of taking a single cross-section path and extruding it by a fixed distance, `loft` accepts multiple cross-sections and then joins them together to form a solid shape. For `loft` to work correctly, the specified paths must *not* all be located on the same plane, otherwise the resultant shape will be flat. You can either provide non-zero Z values for your path points, or use the `translate` command to space out your paths. For example, the following code produces a prism equivalent to the extrusion example above: ```swift loft { // triangle 1 polygon { sides 3 } translate 0 0 2 // triangle 2 polygon { sides 3 } } ``` You can also apply rotations and scaling between cross sections, to create bends or curves. For example, the following code creates a torus: ```swift define steps 32 define radius 1 // radius of ring loft { for 0 to steps { circle { size 0.25 } rotate 0 0 -1/steps translate 0 0 (2 * pi * radius / steps) rotate 0 0 -1/steps } } ``` ![Torus](../images/torus.png) However, the real power of the `loft` command comes from the fact that you can use *different* cross-sections, and the resultant surface will be interpolated between them. For example, here is a shape whose cross-section is square at one end and circular at the other: ```swift loft { square translate 0 0 1 circle } ``` ![Loft shape](../images/loftshape.png) ## Hull The `hull` command works a bit like `loft`, in that it joins together multiple paths to form a solid surface. Here is the `loft` shape above, implemented using `hull`: ```swift hull { square translate 0 0 1 circle } ``` ![Hull shape](../images/loftshape.png) So if `hull` and `loft` are the same, why have a separate command? The difference is that rather than joining sections together in a tube, `hull` forms a tight *skin* around the outside of all its child shapes, known as a [convex hull](https://en.wikipedia.org/wiki/Convex_hull). To illustrate the difference, here is the `hull` of a star shape, vs a `loft` of the same shape: ![Hull shape](../images/hull-vs-loft.png) But the real power of the `hull` command is that it's not limited to operating on paths. Unlike the other builders, you can create a hull around meshes, paths, points, or any combination. For example, here is a hull formed from a cylinder and a point: ```swift hull { cylinder point 1 0 0 } ``` ![Hull shape](../images/hull.png) This allows for a lot of interesting shapes that would be hard to create using the other commands. You might notice some odd stripes on the surface near the lip of the cylinder. As you may recall from the [detail](options.md#detail) section, curved surfaces in ShapeScript are actually formed from straight-edged polygons, with lighting used to make them appear smooth. When creating a hull from different shapes, the resultant [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) aren't always what you'd expect, which can result in lighting glitches like this. In some cases you can use the [smoothing](options.md#smoothing) command to smooth out these discrepancies, like so: ```swift smoothing 0.25 ``` ![Hull shape](../images/smoothed-hull.png) --- [Index](index.md) | Next: [Constructive Solid Geometry](csg.md) ShapeScript-1.6.14/docs/src/camera-control-ios.md000077500000000000000000000031351450355336000216000ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled either programmatically or via touch gestures. ## Camera Selection The camera defaults to "Front" view, which is positioned along the Z axis, looking forward towards the scene. The distance of the camera from the origin is set automatically based on volume occupied by the shapes in the scene. You can choose a different camera angle from the camera menu in the top right of the screen. [Custom cameras](cameras.md#custom-cameras) can be defined programatically. ShapeScript will remember the last selected camera for each shape file. To temporarily change the camera position, you can alter the view using touch gestures (see below). To reset the current camera back to its original position, select `Reset View`. ## Touch Controls Motion | Action :--------------------------- | :-------------------------- Rotate scene | Swipe with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Pinch Roll | Pinch, then rotate fingers ## Copy Settings It can be difficult to visualize the effect that a given position or orientation will have when defining a [custom camera](cameras.md#custom-cameras). A good solution is to use touch gestures to position the camera, then select `Copy Settings` from the camera menu. This copies a snippet of ShapeScript code which you can then paste into your `.shape` file to create the custom camera. --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/src/camera-control.md000077500000000000000000000043721450355336000210140ustar00rootroot00000000000000Camera Control --- When you open a file in ShapeScript, it is rendered in 3D using a virtual camera, which can be controlled either programmatically or via mouse or trackpad. ## Camera Selection The camera defaults to "Front" view, which is positioned along the Z axis, looking forward towards the scene. The distance of the camera from the origin is set automatically based on volume occupied by the shapes in the scene. You can choose a different camera angle from the `View > Camera` menu. [Custom cameras](cameras.md#custom-cameras) can be defined programatically. ShapeScript will remember the last selected camera for each shape file. To temporarily change the camera position, you can alter the view using the mouse or trackpad (see below). To reset the current camera back to its original position, select the `View > Camera > Reset` menu, or press **Cmd-0** on the keyboard. ## Mouse Control **Note:** The instructions below assume the use of an Apple Magic Mouse. Controls for other mice may differ. Motion | Action :--------------------------- | :-------------------------- Rotate scene | Hold the mouse button and drag Pan up/down/left/right | Either swipe the mouse surface with one finger, or hold Shift + mouse button and drag Zoom in and out | Hold Shift, then swipe up or down on the mouse surface with one finger
    ## Trackpad Control Motion | Action :--------------------------- | :-------------------------- Rotate scene | Click and drag with one finger Pan up/down/left/right | Swipe with two fingers Zoom in and out | Either pinch, or hold Shift + swipe up or down with two fingers Roll | Pinch, then rotate fingers
    ## Copy Settings It can be difficult to visualize the effect that a given position or orientation will have when defining a [custom camera](cameras.md#custom-cameras). A good solution is to use touch gestures to position the camera, then select `View > Copy Camera Settings`, or press **Cmd-Shift-C** on the keyboard. This copies a snippet of ShapeScript code which you can then paste into your `.shape` file to create the custom camera. --- [Index](index.md) | Next: [Primitives](primitives.md) ShapeScript-1.6.14/docs/src/cameras.md000077500000000000000000000123141450355336000175140ustar00rootroot00000000000000Cameras --- ShapeScript provides a number of built-in cameras for viewing your scene from the front, back, side, etc. But you may wish to view the scene from a custom viewpoint (say, a 45-degree overhead angle). While it is possible to reposition the view using the [camera controls](camera-control.md), it's difficult to do so in a reproducible way, which is especially important if you wish to [export](export.md) an image of your scene. ## Custom Cameras To solve this, in addition to the built-in cameras, ShapeScript also provides a syntax for defining your own cameras. To define a custom camera, use the `camera` command: ```swift camera ``` The location of the camera in the file is mostly unimportant - it will behave the same if it is placed before or after the visible geometry. Cameras added to your `.shape` file will appear in the camera menu below the other cameras. ![Custom camera menu](../images/custom-camera-menu.png) You may add multiple cameras to a scene and they will be named "Custom", "Custom 2", "Custom 3", and so on. You can use the `name` command to assign a more meaningful name to a given camera, and this will be reflected in the menu: ```swift camera { name "Hello" } ``` You can configure the camera position and orientation programmatically using the properties described below, however the easiest way to define a custom camera is to position it using the camera controls and then [copy the configuration](camera-control.md#copy-settings) and paste it into your `.shape` file. ## Position By default the camera will be positioned just in front of the scene, but you can adjust its position using the `position` property: ```swift camera { position 3 3 3 } ``` This code creates a camera at the coordinates `3,3,3`, which is diagonally up, right, and forwards from the center of the scene. Since we have not specified otherwise, the camera will point in the direction of the center of the scene, so you might see something like this: ![Custom camera](../images/custom-camera.png) ## Orientation To change the orientation of the camera, and an `orientation` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 } ``` This rotates the camera by 27 degrees to the left (`0.15 * 180`) and 45 degrees down (`0.25 * 180`), so that it is pointing roughly at the cone: ![Custom camera orientation](../images/camera-orientation.png) Cameras are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift translate 3 3 3 rotate 0 -0.15 0.25 camera { position 0 orientation 0 } ``` **Note:** the `position 0` and `orientation 0` here are required, because if these are not specified then the camera position and orientation will be set to their default values. ## Field of View In addition to position and orientation, you can also adjust the *field of view* using the `fov` property: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 fov 0.25 } ``` If you imagine your view as a cone expanding out from the camera, the field of view is the angle between the top and bottom edges of the cone. Like all angles in ShapeScript, it's measured in multiples of 180 degrees, so `fov 0.25` sets the field of view to 45 degrees - slightly narrower than the default of 60 degrees. This has the effect of *zooming-in* the camera: ![Custom field of view](../images/custom-fov.png) You might think that the same effect could be achieved by simply moving the camera closer to the center of the scene, but in practice the result of this looks quite different due to the effect of perspective. To eliminate the effect of perspective, you can use an *orthographic* camera, which displays the scene without any perspective distortion. ## Orthographic View To use an orthographic camera, you can either toggle the `Orthographic` menu (which affects all cameras), or you can set `fov` to zero or a negative value in your script, which will override the global setting. ![Orthographic view](../images/orthographic-camera.png) When using an orthographic projection, the distance of the camera from an object no longer affects its size on screen. In order to control the scale at which objects appear, you can use the `size` property of the camera: ```swift camera { position 3 3 3 orientation 0 -0.15 0.25 size 5 } ``` As with `position` and `orientation`, if the `size` property is omitted then a suitable orthographic scale will be determined automatically. ## Background The [background color or texture](commands.md#background) for the scene can be overridden for each camera. This opens up some useful possibilities such as setting orthographic sketches as background for different cameras to use as reference images when modeling: ```swift camera { name "Side View" position 5 0 0 background "side-view.jpg" } ``` ## Pixel Dimensions You can add an optional `width` and/or `height` to your camera block to control the pixel dimensions of the captured image. This has no effect on how the camera view is displayed in the app, but determines the size of [exported images](export.md#image-formats): ```swift camera { width 1024 height 768 } ``` --- [Index](index.md) | Next: [Comments](comments.md) ShapeScript-1.6.14/docs/src/commands.md000077500000000000000000000145701450355336000177100ustar00rootroot00000000000000Commands --- Like [options](options.md), and [functions](functions.md), commands in ShapeScript are denoted by a keyword followed by zero or more values or expressions. Different commands accept different value types, but typically these will be a number, vector, text or [block](blocks.md). ```swift detail 5 // a numeric argument translate 1 0 -1 // a vector argument texture "world.png" // a text argument ``` The values passed to a command can be anything from simple literal values, to symbol references, to whole expressions. For example: ```swift rotate 1 + angle 0 0 ``` In the case above, the `roll` parameter of the `rotate` command has been given a value of `1 + angle`, and the `yaw` and `pitch` parameters are zero. Expressions can be a bit confusing to read inside a tuple of parameters due to the differing significance of spaces between values, so for clarity you may wish to add parentheses: ```swift rotate (1 + angle) 0 0 ``` Commands do not *necessarily* accept or return a value. The main distinction between commands and functions/constants is that commands have *side effects*. Typically they either alter the appearance of the shape, or alter the effects of subsequent commands. Here are some examples: ShapeScript has a number of built-in commands: ## Background The `background` command can be used to set the background color of the rendered scene. For example: ```swift background 1 0 0 // set background color to red ``` Instead of a color, you can pass a file path to an image: ```swift background "filename.png" // set background image ``` This affects how the scene appears in the ShapeScript viewer, as well as the background of [exported images](export.md#image-formats). By default, the background is transparent. **Note:** the `background` command can only be used at the root level of a ShapeScript file, or inside a [camera](cameras.md) node: ## Detail The `detail` command can be used anywhere in the ShapeScript file to override the local detail level used for approximating curved geometry. It is documented in the [options](options.md#detail) section. ## Smoothing The `smoothing` command can be used anywhere in the ShapeScript file to override the local smoothing level used for calculating surface normals. It is documented in the [options](options.md#smoothing) section. ## Materials The `color`, `texture` and `opacity` commands are used to specify the appearance of shapes when rendered. These commands are documents in the [materials](materials.md) section. ## Font The `font`, command is used to specify the font used to render [text](text.md). ## Transforms The `rotate`, `translate` and `scale` commands are useful for procedurally generating paths and complex shapes. These are documented in the [transforms](transforms.md#relative-transforms) section. ## Primitives The `cube`, `sphere`, `cone` and `cylinder` commands are used to generate simple 3D shapes that can be composed into more complex forms. They are documented in the [primitives](primitives.md) section. ## Paths The `path`, `circle` and `square` commands are used to create paths that can be used as the inputs for `builder` commands that can generate complex 3D shapes. They are documented in the [paths](paths.md) section. ## Text The `text` command is used to generate individual words, lines or paragraphs of text, which can then be [filled](builders.md#fill) or [extruded](builders.md#extrude) to create a 3D mesh. The `text` command is documented in the [text](text.md) section. ## Builders The `fill`, `lathe`, `extrude` and `loft` commands turn paths into 3D meshes. They are documented in the [builders](builders.md) section. ## Constructive Solid Geometry The `difference`, `union`, `intersection` and `stencil` commands use boolean operations to merge or subtract shapes from each other to form surfaces that would be hard to model directly. They are documented in the [CSG](csg.md) section. ## Random Numbers The `rnd` and `seed` commands can be used to generate pseudorandom values that are great for procedurally generating natural-looking shapes. The [train example](examples.md#train) uses this approach to create a jumbled layer of coal behind the driver's cab. The `rnd` command takes no parameters but returns a random number in the range 0 to 1. It can be used as one of the inputs to a `rotate` or `translate` command, or multiplied by other values as part of an expression to produce random numbers in different ranges: ```swift // randomly position a cube between -5 and +5 on the y axis cube { position 0 (rnd * 10) - 5 0 } ``` Each time `rnd` is called it will return a different value. Numbers are returned in a deterministic but non-repeating sequence. Because the sequence is deterministic, it will always produce the same values each time your scene is rendered. To alter the random sequence you can use the `seed` command. The `seed` command takes a numeric value as its argument, and this is used to generate all subsequent `rnd` values. The seed value can be any number (positive or negative, integer or fraction), but note that values outside the range 0 to 232 will be wrapped to that range. If you are not happy with how some randomly generated geometry looks, try setting the seed to an arbitrary value, and keep tweaking it until you like the result: ```swift seed 57 ``` You can reset the `seed` at any point within your ShapeScript file, and it will alter the sequence for subsequent `rnd` calls. Like most other commands, `seed` is scoped, so setting the `seed` inside a [group](groups.md) or [block](blocks.md) will only apply to `rnd` calls within that block, and `rnd` commands after the closing `}` will use the previously-specified `seed` value. The default starting value for `seed` is zero, so `seed 0` will cause the `rnd` sequence to repeat from the beginning. Remember that the sequence produced from a given seed is always the same, so re-using the same seed value multiple times in your script will result in repetition of the same random sequence. ## Debugging The `debug`, `print` and `assert` commands can be used to understand what's happening in your script and help diagnose problems. These are documented in the [debugging](debugging.md) section. ## Import The `import` command is used to import an external ShapeScript or 3D geometry file. For more details on how this is used, see the [import](import.md) section. --- [Index](index.md) | Next: [Control Flow](control-flow.md) ShapeScript-1.6.14/docs/src/comments.md000077500000000000000000000036061450355336000177320ustar00rootroot00000000000000Comments --- Any content that follows a `//` (double slash) is treated as a comment. Comments can appear at the start of a line, or at the end. The comment terminates at the next line-break. Comments can be used to document individual lines of code, or whole blocks. For example: ```swift color 1 0 0 // red // this code draws a triangle fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } ``` Comments are also useful for temporarily disabling a block of code when debugging a scene. Some editors (such as Xcode) allow you to comment or uncomment multiple lines of code at once by making a multi-line selection and then pressing **Cmd-/** on the keyboard. ## Block Comments Another way to disable a large chunk of code at once is to use a *block comment*. Block comments begin with `/*` and end with `*/`. Anything between these delimiters is considered part of the comment, even if they span multiple lines: ```swift /* // this code is disabled fill path { for 0 to 3 { point 0 1 rotate 2 / 3 } } */ ``` Block comments can also be useful if you want to place a comment in the middle of a line, for example: ```swift define a(b c d) { b /* + c */ + d } ``` Here we've excluded the `c` parameter from the result, however the code both before and after the comment is unaffected. ## Nested Comments Unlike some other languages, ShapeScript allows block comments to be nested inside each other. This is useful if you want to comment out some code that already contains comments: ```swift /* define foo { option bar 3 /* option baz 5 */ // return bar print bar } */ ``` **Note:** although nested comments are supported by ShapeScript itself, they may confuse the syntax highlighting in whichever editor you are using. Don't be alarmed if part of the comment appears in the wrong color. --- [Index](index.md) | Next: [Literals](literals.md) ShapeScript-1.6.14/docs/src/control-flow.md000077500000000000000000000111131450355336000205220ustar00rootroot00000000000000Control Flow --- ## Loops To repeat an instruction (or sequence of instructions) you can use a `for` loop. The simplest form of the for loop takes a [numeric range](expressions.md#ranges), and a block of instructions inside braces. The following loop creates a circle of 5 points (you might use this inside a `path`): ```swift for 1 to 5 { point 0 1 rotate 2 / 5 } ``` The range `1 to 5` is inclusive of both the start and end values. A range of `0 to 5` would therefore loop *6* times and not 5 as you might expect. The loop range does not have to be a literal value, you can use a previously defined symbol or expression instead: ```swift define count 5 for 1 to count { point 0 1 rotate 2 / count } ``` ## Loop Index If you have used similar loops in other programming languages, you might be wondering why we don't need to use an index variable of some kind to keep track of the loop iteration? Symbols defined inside the `{ ... }` block will not persist between loops (see [scope](scope.md) for details), but changes to the world transform will, which is why the `rotate` command doesn't need to reference the index - its effect is cumulative. If you *do* need to reference the index inside your loop for some reason, you can define a loop index symbol like this: ```swift for i in 1 to count { point 0 i } ``` This defines a [symbol](symbols.md) called `i` with the value of the current loop iteration. The `i` symbol only exists within the loop body itself and can't be referenced after the loop has ended. **Note:** The index symbol does not need to be called `i`, it can be any valid symbol name that you choose. If you want to loop in increments greater or less than 1, you can use the optional `step` property: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` If not specified, the `step` value defaults to 1. ## Looping Backwards If the end value of a loop is less than the start value, the loop body will normally be skipped, but if you do wish to loop backwards you can achieve this by using a negative step value: ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` ## Looping Over Values As well as looping over a numeric range, you can also loop over a tuple of values: ```swift define values 1 5 7 9 for i in values { print i // prints 1 5 7 9 } ``` The values can be non-numeric, or even a mix of different types: ```swift define values "Mambo" "No." 5 for i in values { print i // prints Mambo No. 5 } ``` **Note:** To use a list of values directly in the loop definition, they must be placed in parentheses: ```swift for i in ("parentheses" "are" "required") { print i } ``` ## If-Else Sometimes instead of repeating an action multiple times you need to perform it just once, but conditionally, based on some programmatic criteria. For example, your scene might have multiple configurations that you can switch between by setting constants at the top of the file. To execute code conditionally, you can use an `if` statement: ```swift define showCube true if showCube { cube } ``` The `showCube` constant here is a [boolean](https://en.wikipedia.org/wiki/Boolean_data_type) that can have the value `true` or `false`. The condition for an `if` statement must always be a boolean expression. The body of the `if` statement will only be executed if the condition is true. To perform an alternative action for when the condition is false, you can add an `else` clause: ```swift if showCube { cube } else { sphere } ``` You can chain multiple conditional statements using the `else if` construct: ```swift if showCube { cube } else if showSphere { sphere } else if showCone { cone } else { print "Nothing to see here!" } ``` ## Conditional Defines Something you might want to do with an `if` statement is to conditionally define a constant value, for example: ```swift define highlighted true if highlighted { define cubeColor red } else { define cubeColor white } cube cubeColor ``` Unfortunately this won't work, due to the [scope](scope.md) rules. The `cubeColor` symbol is only defined inside the `if` statement blocks themselves, and can't be accessed outside. So how can you set the value of `cubeColor` conditionally? The solution is to move the `if` statement *inside* the `define` itself, like this: ```swift define highlighted true define cubeColor { if highlighted { red } else { white } } cube { color cubeColor } ``` --- [Index](index.md) | Next: [Blocks](blocks.md) ShapeScript-1.6.14/docs/src/csg.md000077500000000000000000000075431450355336000166650ustar00rootroot00000000000000Constructive Solid Geometry --- Constructive Solid Geometry (CSG) is a process by which solid shapes can be combined or subtracted from one another to create shapes that would be hard to model directly. There are four basic types of CSG command in ShapeScript: ## Difference The `difference` command takes 2 or more child meshes and subtracts them from one another. In this example, a green-colored cylinder is subtracted from a red cone: ```swift difference { cone { color 1 0 0 } cylinder { position 0 -0.1 0 orientation 0.5 size 0.5 1 color 0 1 0 } } ``` The result is shown below on the right. The shape on the left is using a `group` instead of `difference`, so you can see the position of the cylinder prior to subtraction. ![Cone with a hole](../images/group-vs-difference.png) The subtracted shape is removed from the result, but leaves an impression in the shape it is subtracted from. You can see this in above image, where the hole in the red cone is lined with green coloring from the cylinder. ## Intersection The `intersection` command returns a shape representing the common volume between all input shapes. You can think of it as being like the *AND* function from boolean algebra. If we change the `difference` to an `intersection` in the previous code sample, this is the result: ![Intersection of cone and cylinder](../images/intersection.png) As before, the color is taken from the shape that originally contributed that part of the surface. ## Union The `union` command merges its child meshes into a single shape. You can think of it as being like the *OR* function from boolean algebra. For an opaque shape the result is not visually distinguishable from simply using a `group`, but below the surface the `union` will split intersecting polygons and remove internal faces so that only the outer shell remains. This can be important for rendering efficiency, as well as producing more predictable results if the mesh is then used for additional CSG operations. The effect can be seen by using a translucent color (one with an alpha component less than one). In the image below, the red cones have been set to an alpha opacity of 0.75, with the green cylinders left fully opaque. The shape on the left is using a `group`, and the inner surface of the cylinder can clearly be seen through the surface of the cone. The shape on the right is using `union` and so the part of the cylinder inside the cone cannot be seen (because it has been removed). ![Group vs union](../images/group-vs-union.png) ## XOR The `xor` command (short for *Exclusive-OR*) combines its child objects using the [even-odd rule](https://en.wikipedia.org/wiki/Even–odd_rule). For example, two overlapping cylinders will produce an eye-shaped hole where the volumes intersect: ```swift xor { cylinder { color 1 0 0 } cylinder { position 0.5 color 0 1 0 } } ``` ![Eye-shaped Hole](../images/xor.png) ## Stencil The `stencil` command retains the shape of its first child, but "paints" the intersecting areas between the child shapes using the material of the other children. This can be used to apply logos or patterns to the surface of a shape. In the following example, a red ball has been stenciled with the pattern of a green square: ```swift stencil { // ball sphere { color 1 0 0 } // square cube { color 0 1 0 size 0.4 position 0 0 0.5 } } ``` ![Stenciled ball](../images/stencil.png) **Note:** If the stencil shape has a texture applied to it (see [Materials](materials.md#texture)) then the texture wrapping will match the coordinates of the shape being painted, not the shape that the texture is taken from. If the child shapes both have the same color or texture, there will be no visible effect from using stencil. --- [Index](index.md) | Next: [Groups](groups.md) ShapeScript-1.6.14/docs/src/debugging.md000077500000000000000000000052721450355336000200410ustar00rootroot00000000000000Debugging --- When using the [constructive solid geometry](csg.md) operations it can sometimes be difficult to visualize the individual components that comprise a given shape. In the example below, a moon shape is created by subtracting one cylinder from another: ```swift difference { cylinder { size 1 0.2 } // cylinder not visible in viewer cylinder { position 0.4 size 1 0.2 } } ``` ![Moon](../images/moon.png) Because the second cylinder is subtracted from the first, we can't actually see it, which means we can't [select it](getting-started.md#debugging-and-selection) to get information about it, or properly understand its shape. To solve this, we can use the `debug` command: ```swift difference { cylinder { size 1 0.2 } // debug command makes cylinder visible debug cylinder { position 0.4 size 1 0.2 } } ``` This makes the cylinder visible in the ShapeScript viewer and allows it to be selected like any other shape. ![Moon debug](../images/moon-debug.png) ## Logging When creating complex scripts, it can sometimes be difficult to understand what's happening in the code. To help you debug your scripts, you can use the `print` command: ```swift print 5 + 6 print "some text" print someValue ``` The `print` command accepts one or more arguments of any type. You can use this to intersperse values and text labels for example: ```swift print "width =" width print "x:" x "y:" y ``` Printed values are displayed in a console area below the scene. The console can be resized and scrolled to show as much text as you need. ## Assertions Rather than merely printing a value, sometimes you want to be certain that it has a particular value (or range of values). You can do that with the `assert` command: ```swift assert color = red // no other color will do ``` The assert function accepts a single boolean value or expression, and will raise an error if it evaluates to false. So when would this be useful? Suppose that you have defined a block, like the [star example](blocks.md#options) and you want a way to specify that it must have at least 4 points and a nonzero radius. You could do that like this: ```swift define star { option radius 1 assert radius > 0 option points 5 assert points >= 4 path { for 1 to points { point 0 -0.5 rotate 1 / points point 0 -radius rotate 1 / points } point 0 -0.5 } } ``` Now, if you (or someone else) tries invoke `star` with invalid options, it will raise a meaningful error instead of just producing broken-looking geometry. --- [Index](index.md) | Next: [Import](import.md) ShapeScript-1.6.14/docs/src/examples.md000066400000000000000000000042201450355336000177110ustar00rootroot00000000000000Examples --- ShapeScript includes a number of example files that demonstrate various features. You can find these under the `Help > Examples` menu. ## Ball The Ball example demonstrates how to use the [stencil](csg.md#stencil) command to "paint" patterns on a sphere, as well as a [for loop](control-flow.md#loops) to generate a star shape that is then [extruded](builders.md#extrude). ![Ball](../images/ball.png) ## Chessboard The Chessboard example demonstrates the use of [for loops](control-flow.md#loops) to duplicate shapes, along with [paths](paths.md), [lathe builders](builders.md#lathe) and [CSG](csg.md) operations. ![Chessboard](../images/chessboard.png) ## Cog The Cog example demonstrates procedural generation of a complex [path](paths.md) using a [for loop](control-flow.md#loops), as well as the creation of a custom [block](blocks.md) and the use of the [option](blocks.md#options) command to pass parameters. ![Cog](../images/cog.png) ## Earth The Earth example demonstrates use of the [texture](materials.md#texture) command to turn a simple sphere into a model of the globe. ![Earth](../images/earth.png) ## Icosahedron The Icosahedron demonstrates the use of the [mesh command](meshes.md) along with [structured data](literals.md#structured-data) and [custom functions](functions.md#custom-functions) to create a complex shape that cannot easily be derived from the built-in primitives. ![Icosahedron](../images/icosahedron.png) ## Spirals The Spirals example demonstrates using the [extrude](builders.md#extrude) command to create a spiral. This example also demonstrates the use of [for loops](control-flow.md#loops) and user-defined [options](blocks.md#options). ![Spirals](../images/spirals.png) ## Spring The Spring example demonstrates how to use the [loft](builders.md#loft) command and a [for loop](control-flow.md#loops) to create a coiled spring shape. ![Spring](../images/spring.png) ## Train The Train demonstrates a combination of modeling techniques, including using the [rnd](commands.md#random-numbers) command to generate pseudo-random coal. ![Train](../images/train.png) --- [Index](index.md) | Next: [Glossary](glossary.md) ShapeScript-1.6.14/docs/src/export-ios.md000077500000000000000000000122551450355336000202160ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D scene, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript iOS App](https://apps.apple.com/app/id1606439346). Export is not available in the free ShapesScript Viewer.** To export your scene, select the export menu in the top-right of the window to unlock the export functionality. Once unlocked, this menu will display the export options. **Note:** If the `Export Image/Model` menu is grayed-out, it is most likely because your scene is still loading. Wait for the loading spinner in the top-left of the ShapeScript window to finish before trying to export. ![Loading](../images/loading.png) ## Export Formats ShapeScript can export your scene in a variety of model file formats, selectable from the export menu: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
    **Note:** Not all formats support all features of ShapeScript scenes, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## Games and AR Models exported from ShapeScript are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use USD(Z) files with Apple's SceneKit and RealityKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in Stereolithography (STL) format, used by many 3D printing applications. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript scenes use the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the export menu to export your model in this orientation. ## Image Formats In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No
    If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. ## Image Options The size of the exported image defaults to the current window size at the current display resolution. You can override this size in your script file by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions), or by tapping on the size label in the export menu and selecting a different size: ![Export size](../images/export-size.png) Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a [ray tracing](https://en.wikipedia.org/wiki/Ray_tracing_(graphics)) program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/src/export.md000077500000000000000000000127711450355336000174310ustar00rootroot00000000000000Export --- Once you've finished crafting your 3D scene, you'll probably want to *do something* with it. For that you will need to use the *Export* feature. **Export is a paid upgrade that can be unlocked via in-app purchase in the [ShapeScript Mac App](https://apps.apple.com/app/id1441135869). Export is not available in the free ShapesScript Viewer.** To export your scene, select the `File > Unlock Export Feature…` menu (**Cmd-Shift-E**) to unlock the export functionality. Once unlocked, this menu will change to `Export…`. **Note:** If the `Export…` menu is grayed-out, it is most likely because your scene is still loading. Wait for the loading spinner in the top-left of the ShapeScript document window to finish before trying to export. ![Loading](../images/loading.png) ## Export Formats ShapeScript can export your scene in a variety of model formats, selectable from the export window: Extension | File Type | Supports All Features :-------------------- | :------------------------------------------------|:------------------------------ abc | Alembic | No dae | Collada DAE | Yes obj | Wavefront Object | No scn / scnz | SceneKit Scene Document | Yes usd / usdz | Universal Scene Description | No ply | Polygon File Format | No stl | Stereolithography | No
    **Note:** Not all formats support all features of ShapeScript scenes, so you may need to experiment. In general, DAE is the most reliable, widely-supported format to use. Some model formats do not support embedding geometry and textures or materials in a single file; In this case, ShapeScript will export a folder containing the model and associated assets as separate files. Exported models can be used in a variety of ways: ## Games and AR Models exported from ShapeScript are well-suited to use in realtime 3D because the `detail` command gives you fine control over the triangle count. For realtime use you should generally set the detail level as low as you can get away with. You can import DAE files into a game development tool like Unity, or use USD(Z) files with Apple's SceneKit and RealityKit frameworks in Xcode. ## 3D Printing ShapeScript can export models in Stereolithography (STL) format, used by many 3D printing applications. When exporting for 3D printing, you will usually want to avoid having internal geometry inside the outer surface of your model. A good way to do this is to use the [union](csg.md#union) command to combine all the parts of your model into a single shape, eliminating internal faces. ShapeScript scenes use the "Y-up" convention, where the Y-axis points up and the Z-axis points out from the screen. Some popular 3D printing applications such as [Cura](https://ultimaker.com/software/ultimaker-cura) use the "Z-up" convention instead. Check the "Convert to Z-Up" option in the export window to export your model in this orientation. ## Image Formats In addition to 3D model formats, ShapeScript can also export 2D images. By default, images will be captured using the current camera, but you can select a different [camera view](cameras.md) from the export window. The following image formats are supported: Extension | File Type | Supports Transparency :---------------------| :-------------------------------------------------|:------------------------------ gif | Graphics Interchange Format | Yes png | Portable Network Graphics | Yes jpg / jpeg | Joint Photographic Experts Group | No jpf / jp2 | JPEG 2000 | Yes tif / tiff | Tagged Image File Format | Yes bmp | Bitmap | No
    If you aren't sure which format to use, the PNG format is a good all-rounder, with lossless compression and transparency support. ## Image Options The size of the exported image defaults to the current window size at the current display resolution. You can override this size in your script file by adding `width` and/or `height` options to your [custom camera](cameras.md#pixel-dimensions), or by clicking on the size label in the export window and selecting a different size: ![Export size](../images/export-size.png) Images are exported with a transparent background by default if the selected format supports it, or white otherwise. To change the background color or set a background image, you can use the [background command](commands.md#background). When exporting an image (or exporting a model for non-realtime use), you may wish to use the `detail` command to increase the detail level. A detail level of 100 should be good enough for even a very large or high-resolution image, but this may take a long time to generate for a complex model. **Note:** Although ShapeScript can export images, for best results you should export as a 3D model and then import that into a [ray tracing](https://en.wikipedia.org/wiki/Ray_tracing_(graphics)) program that provides fine-grained control over scene lighting and camera placement. --- [Index](index.md) | Next: [Examples](examples.md) ShapeScript-1.6.14/docs/src/expressions.md000066400000000000000000000214671450355336000204710ustar00rootroot00000000000000Expressions --- Rather than pre-calculating the sizes and positions of your shapes, you can get ShapeScript to compute the values for you using *expressions*. Expressions are formed by combining [literal values](literals.md), [symbols](symbols.md) or [functions](functions.md) with *operators*. ## Operators Operators are used in conjunction with individual values to perform calculations: ```swift 5 + 3 * 4 ``` ShapeScript supports all the standard [infix](https://en.wikipedia.org/wiki/Infix_notation) arithmetic operators: Symbol | Name | Function :------------- | :-------------------- | :-------------------------------------------------------------------- + | plus | Adds the left and right values ‐ | minus | Subtracts the right value from the left value * | times | Multiplies the left value by the right value / | divide | Divides the left value by the right value % | modulo | Remainder of dividing the left value by the right value
    Unary + and - are also supported: ```swift -5 * +7 ``` Operator precedence follows the standard [BODMAS](https://en.wikipedia.org/wiki/Order_of_operations#Mnemonics) convention, and you can use parentheses to override the order of evaluation: ```swift (5 + 3) * 4 ``` Because spaces are used as delimiters in [vector literals](literals.md#vectors-and-tuples), you need to take care with the spacing around operators to avoid ambiguity. Specifically, unary + and - must not have a space after them, and ordinary infix operators should have balanced space around them. For example, these expressions would both evaluate to a single number with the value 4: ```swift 5 - 1 5-1 ``` Whereas this expression would be interpreted as a 2D vector of 5 and -1: ```swift 5 -1 ``` ## Equality and Comparison ShapeScript includes the following equality and comparison operators, which can be used in [conditional logic](control-flow.md#if-else): Symbol | Name | Function :------------- | :-------------------- |:-------------------------------------- = | equal | Compares two values and returns `true` if they are equal <> | not equal | Compares two values and returns `false` if they are equal < | less than | Returns `true` if the left value is less than the value on the right <= | less than or equal | Returns `true` if the left value is less than or equal to the right > | greater than | Returns `true` if the left value is greater than the value on the right >= | greater than or equal | Returns `true` if the left value is greater than or equal to the right
    **Note:** You may have used other languages where `=` is written as `==`. This is generally because in such languages the `=` operator is used for assignment, and re-using the same symbol would cause ambiguity. This is not a problem in ShapeScript. While these operators are typically used with numeric inputs, the *output* is a boolean value (`true` or `false`). These values are most commonly used in conjunction with with the `if/else` control flow statement. For example: ```swift if rnd > 0.5 { print "heads" } else { print "tails" } ``` But they can also be assigned to a symbol and passed around: ```swift define averageColor (color.red + color.green + color.blue) / 3 define isBrightColor averageColor >= 0.5 print isBrightColor // true or false ``` ## Linear Algebra As well as operating on individual numbers, some operators can be used with [vectors or tuples](literals.md#vectors-and-tuples). To multiply or divide a tuple of numbers by a scalar value you can use: ```swift define numbers (1 2 3 -4) print numbers * 2 // prints 2 4 6 -8 ``` You can also multiply two tuples: ```swift define left (1 2 3) define right (1 -2 3) print left * right // prints 1 -4 9 ``` Note that is a simple member-wise multiplication of the numbers. For other types of vector multiplication such as the dot or cross product see the [functions section](functions.md#linear-algebra). If the tuples have different lengths, the result will be truncated to the shorter of the two: ```swift define left (1 2 3) define right (1 -2) print left * right // prints 1 -4 ``` You can also add or subtract two lists of numbers together: ```swift define left (1 2 3) define right (1 -2 3) print left + right // prints 2 0 6 ``` Unlike with multiplication or division, adding or subtracting a shorter tuple from a longer one will preserve the length of the left side: ```swift define left (1 2 3) define right (1 -2) print left + right // prints 2 0 3 ``` Adding a longer tuple to a shorter one will not widen the result however: ```swift define left (1 2 3) define right (1 -2 3 4) print left + right // prints 2 0 3 ``` ## Boolean Algebra Along with the standard arithmetic operators, ShapeScript also has [boolean operators](https://en.wikipedia.org/wiki/Boolean_algebra) for implementing logical operations. Not to be confused with the [boolean geometry](csg.md) functions for working with 3D solids, ShapeScript's boolean operators work with `true` or `false` values, and are predominantly used in conjunction with `if/else` control flow statements. ShapeScript supports the common boolean operators: Operator | Function :------------- | :-------------------- and | Compares two values and returns `true` if they are both true or | Compares two values and returns `true` if either one is true not | Returns `false` if the expression to the right is true, and `true` if it's false
    Unlike some languages, ShapeScript's boolean operators are implemented as keywords rather than symbols like `&&` or `||`, so control flow statements read more like sentences: ```swift if a and b { print "both a and b were true" } ``` These can be combined into more complex expressions, and used in conjunction with parentheses for disambiguation: ```swift if (not a) and (b or c) { print "a was false and either b or c were true" } ``` ## Members Compound values like [vectors and tuples](literals.md#vectors-and-tuples) can be decomposed by using the *dot* operator to access individual components: ```swift define vector 0.5 0.2 0.4 define yComponent vector.y print yComponent 0.2 ``` Like other operators, the dot operator can be used as part of a larger expression: ```swift color 1 0.5 0.2 define averageColor (color.red + color.green + color.blue) / 3 print averageColor // 0.5667 ``` For strings, you can use the `lines`, `words` and `characters` members: ```swift define sentence "The quick brown fox" for word in sentence { print word // prints each word on a new line } ``` For [meshes](meshes.md) you can access the `name`, `bounds` and `polygons` members, and for [polygons](meshes.md#polygons-and-points) you can use `points` to access the individual vertices. For points you can access the `position` and `color`: ```swift define triangle polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Print the vertex colors for point in triangle.points { print "position: " point.position ", color: " point.color } ``` For more information about the members that can be accessed on various data types, see [structured data](literals.md#structured-data). ## Ranges Another type of expression you can create is a *range* expression. This consists of two numeric values separated by a `to` keyword: ```swift 1 to 5 ``` Ranges are mostly used in [for loops](control-flow.md#loops): ```swift for i in 1 to 5 { print i } ``` But they can also be assigned to a [symbol](symbols.md) using the `define` command, and then used later: ```swift define loops 1 to 5 for i in loops { print i // prints 1, 2, 3, 4, 5 } ``` **Note:** Ranges are inclusive of both the start and end values, so a loop from `0 to 5` would loop *6* times and not 5 as you might expect. Range values can be fractional and/or negative: ```swift for i in 0.2 to 2.2 { print i // prints 0.2, 1.2, 2.2 } for i in -3 to -1 { print i // prints -3, -2, -1 } ``` Ranges may also include an optional `step` value to control how the range will be enumerated: ```swift for i in 1 to 5 step 2 { print i // prints 1, 3, 5 } for i in 0 to 1 step 0.2 { print i // prints 0, 0.2, 0.4, 0.6, 1 } ``` The step value for an existing range can be set or overridden later: ```swift define loops 1 to 5 step 3 for i in loops { print i // prints 1, 4 } for i in loops step 2 { print i // prints 1, 3, 5 } ``` A negative `step` can be used to create a [backwards loop](control-flow.md#looping-backwards): ```swift for i in 5 to 1 step -1 { print i // prints 5, 4, 3, 2, 1 } ``` --- [Index](index.md) | Next: [Functions](functions.md) ShapeScript-1.6.14/docs/src/functions.md000066400000000000000000000220231450355336000201040ustar00rootroot00000000000000Functions --- Functions consist of a name followed by one or more values. They perform an operation on their input values and return the result. Functions can be used inside expressions, and can accept expressions as inputs. Unlike [operators](expressions.md#operators), functions have no implicit precedence, so parentheses may be needed to avoid ambiguity. In the following example, it's not clear if `y` is intended as a second argument to the `cos` function, or as the second argument to the translate command. Only the latter would technically be valid, since `cos` only accepts a single argument, but ShapeScript requires you to be explicit, and will treat this as an error: ```swift translate cos x y ``` The error can be resolved by using parentheses to group the `cos` function with its argument: ```swift translate (cos x) y ``` Lisp programmers will find this syntax quite familiar, but if you have used C-like programming languages it may seem a little strange to put the parentheses around the function name and its arguments instead of just the arguments. If you prefer, you can use a C-like syntax instead: ```swift translate cos(x) y ``` Either approach is acceptable in ShapeScript. ## Arithmetic In addition to the standard arithmetic [operators](expressions.md#operators), ShapeScript also includes a number of built-in arithmetic *functions*: The `round` function is used to round a number to the nearest integer (whole number): ```swift round 3.2 // returns 3 round 3.9 // returns 4 round 3.5 // returns 4 ``` The `floor` function is similar, but always rounds down: ```swift floor 3.2 // returns 3 floor 3.9 // returns 3 ``` The `ceil` function always rounds up: ```swift ceil 3.2 // returns 4 ceil 3.9 // returns 4 ``` The `abs` function returns the magnitude of a number, ignoring the sign: ```swift abs 4.5 // returns 4.5 abs -51 // returns 51 ``` The `sign` function (not to be confused with [sin](#trigonometry)) returns `1`, `-1` or `0` depending on the sign of the input: ```swift sign 4.5 // returns 1 sign -51 // returns -1 sign 0 // returns 0 ``` The `sqrt` function returns the square root of a value: ```swift sqrt 4 // returns 2 sqrt 2 // returns 1.414 ``` The `pow` function takes *two* parameters, and return the first value raised to the power of the second: ```swift pow 2 4 // returns 16 pow 3 2 // returns 9 pow 4 0.5 // returns 2 ``` The `min` function returns the lower of two or more values: ```swift min 2 4 // returns 2 min 5 0 -5.1 // returns -5.1 ``` The `max` function returns the higher of two or more values: ```swift max 2 4 // returns 4 max 5 0 -5.1 // returns 5 ``` ## Linear Algebra ShapeScript also includes functions for operating on [vectors](literals.md#vectors-and-tuples): The `dot` function is used to calculate the [dot product](https://en.wikipedia.org/wiki/Dot_product) of a pair of vectors: ```swift define up (0 1) define right (1 0) print dot(up right) // returns 0 ``` The `cross` function calculates the [cross product](https://en.wikipedia.org/wiki/Cross_product): ```swift define up (0 1) define right (1 0) print cross(up right) // returns 0 0 -1 ``` The `length` function calculates the magnitude of a vector (also known as the [norm](https://en.wikipedia.org/wiki/Euclidean_space#Euclidean_norm)): ```swift define v (3 4) print length(v) // returns 5 ``` The `normalize` function computes a [unit vector](https://en.wikipedia.org/wiki/Unit_vector) from an arbitrary vector by dividing each element by the vector length: ```swift define v (3 4) print normalize(v) // returns 0.6 0.8 ``` ## Trigonometry For the most part, you can avoid the need for trigonometry in ShapeScript by using the built-in [transform commands](transforms.md#relative-transforms) to manipulate geometry rather than manually calculating the positions of vertices. But sometimes you may wish to do something more complex (e.g. generating a path in the shape of a sign wave) that can only be achieved through explicit calculations, and to support that, ShapeScript provides a standard suite of trigonometric functions. While ShapeScript's [transform](transforms.md#orientation) commands expect values in [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)), the trigonometric functions all use [radians](https://en.wikipedia.org/wiki/Radian). For example, the `sin` (sine) function takes a radian representation of an angle and returns a ratio value of that angle. In this case 0.524 radians returns 0.5 or 1/2 - an angle of 30 degrees: ```swift sin 0.524 // returns 0.5 ``` The `acos` (arc cosine) function takes a ratio representation of an angle and returns a radians value of that angle. In this case 1/2 or 0.5 returns 1.047 radians - equivalent to an angle of 60 degrees: ```swift acos 0.5 // return 1.047 ``` The `cos` (cosine), `sin` (sine), and `tan` (tangent) functions all take a radians value and return a ratio value, and the `asin` (arc sine), `acos` (arc cosine), and `atan` (arc tangent) functions all take a ratio value and return a radians value. Using `atan` to calculate the angle of a vector is problematic because the result that it returns can be ambiguous. You need to take the vector quadrant into account, as well as the ratio of the X and Y components. The `atan2` function works like `atan`, but instead of a single tangent value, it accepts separate Y and X inputs and returns the angle of the vector that they describe. The resultant angle correctly takes the vector quadrant into account. ```swift atan2 1 -1 // returns a radian angle of the vector Y: 1, X: -1 ``` To convert an angle in radians to a ShapeScript half-turn value, divide it by the 'pi' constant: ```swift define angle acos(0.5) // returns 1.047 radians (60 degrees) rotate angle / pi // return 0.333 (1.047 / 3.141) ``` To convert a ShapeScript half-turn value to radians, multiply it by `pi`. ```swift cube { orientation 0.5 print orientation.roll * pi // prints 1.571 (0.5 * pi) } ``` Angular conversion formulae: Conversion | Formula :---------------------| :-------------------------- Degrees to radians | radians = degrees / 180 * pi Radians to degrees | degrees = radians / pi * 180 Degrees to half-turns | halfturns = degrees / 180 Half-turns to degrees | degrees = halfturns * 180 Radians to half-turns | halfturns = degrees / pi Half-turns to radians | radians = halfturns * pi
    Common values: Angle in degrees | Angle in radians | Angle in half-turns :--------------- | :--------------- | :------------------ 0 | 0 | 0 30 | pi / 6 (0.524) | 1 / 6 (0.167) 45 | pi / 4 (0.785) | 1 / 4 (0.25) 60 | pi / 3 (1.047) | 1 / 3 (0.333) 90 | pi / 2 (1.57) | 1 / 2 (0.5) 180 | pi (3.142) | 1
    ## Strings ShapeScript includes a number of functions for manipulating strings. The `join` function concatenates two or more strings together, with an optional separator: ```swift define words "Hello" "World!" define greeting join words ", " print greeting // prints "Hello, World!" ``` If you don't want a delimiter, just pass an empty string as the second argument to join: ```swift define words "Hello" "World!" define greeting join(words "") print greeting // prints "HelloWorld!" ``` The `split` function breaks a string up into a tuple of substrings by splitting it at a specified delimiter: ```swift define input "comma,delimited,string" define elements split input "," print elements.second // prints "delimited" ``` The `trim` function removes any leading or trailing [white space](https://en.wikipedia.org/wiki/Whitespace_character) characters from a string: ```swift define input "comma, delimited , string,with ,spaces" define elements split input "," print elements.second // prints " delimited " print trim elements.second // prints just "delimited" without spaces ``` ## Functions and Expressions Expressions can be passed as function arguments, for example: ```swift sin pi / 2 // returns 1 ``` Which, thanks to precedence rules, is equivalent to: ```swift sin(pi / 2) // returns 1 ``` You can also use function calls *inside* an expression, for example: ```swift print (sqrt 9) + (sqrt 9) // prints 6 ``` Or the equivalent form of: ```swift print sqrt(9) + sqrt(9) // also prints 6 ``` **Note:** When used inside an expression, parentheses around the function (or just its arguments) are required. ## Custom Functions You can define your own functions using the `define` command. A function definition consists of a function name followed by a list of parameter names in parentheses: ```swift define sum(a b) { a + b } define degreesToRadians(degrees) { degrees / 180 * pi } ``` Like [blocks](blocks.md), functions can refer to constant values or other functions defined in their containing [scope](scope.md): ```swift define epsilon 0.0001 define almostEqual(a b) { abs(a - b) < epsilon } ``` Unlike [block options](blocks.md#options), function inputs do not have default values. Calling a function without passing a value for every input will result in an error. --- [Index](index.md) | Next: [Commands](commands.md) ShapeScript-1.6.14/docs/src/getting-started-ios.md000077500000000000000000000176441450355336000220110ustar00rootroot00000000000000Getting Started --- ShapeScript Viewer for iOS is designed for opening and editing 3D models and scenes that use the ShapeScript `.shape` file format. If you do not have any existing ShapeScript files, you can create one using the `+` button. You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. ![New file modal](../images/new-file-ios.png) After pressing OK you should see a new screen appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../images/new-document-ios.png) ## Viewing Drag your finger inside the window and you will notice that the three shapes appear to rotate. You are not actually moving the shapes themselves, but rotating the camera around them. To return to the original orientation, tap the camera icon in the top-right and select `Reset View`. To help you orient yourself, you can enable the `Show Axes` option in the camera menu, which displays the direction of the X, Y and Z axes. ![Show axes](../images/show-axes-ios.png) For more information about navigating around the scene, see [Camera Control](camera-control.md). ## Editing To edit your `.shape` file, tap the pencil icon in the top-right of the screen. This will open the file inside the integrated source editor: ![Integrated source editor](../images/source-editor-ios.png) Changes made to the model in the source editor will be reflected immediately in the scene (although you may need to close the source view to see them!). In addition to the built-in editor, ShapeScript also supports the use of external text editors such as [Runestone](https://apps.apple.com/app/runestone-text-editor/id1548193893) or [Subtext](https://apps.apple.com/app/subtext/id1606625287). ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Runestone) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. If you are using an iPad, you can use the [Split View](https://support.apple.com/en-gb/guide/ipad/ipad08c9970c/ipados) feature to show both ShapeScript Viewer and your text editor app on screen simultaneously: ![Split View](../images/split-view-ios.png) **Note:** Not all iOS text editors support *live editing* (where changes in the text are reflected automatically in ShapeScript as you make them). You may find you have to explicitly save or close the document in your editor for changes to take effect. External editors may also not immediately pick up changes you make using the built-in source editor, so be careful when switching between them. ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. The shapes are made out of flat polygons, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many polygons will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your scene so that you avoid having to work with very large numbers (thousands of units), or very small ones (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assumed to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../images/yellow-cube-ios.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../images/error-screen-ios.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use undo feature in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection To get information about your scene (such as polygon count and overall dimensions), tap the info button in the top-right corder of the screen. To get info about a particular shape in the scene, tap on it in the viewer to select it then press the info button. This will also tell you which line in the `.shape` file defines that component. Tap outside of the shape to deselect it again. ![Object info](../images/object-info-ios.png) **Note:** If you are having trouble identifying a particular shape from your `.shape` file, you can use the [debug command](debugging.md) to highlight it in the viewer. --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/src/getting-started.md000077500000000000000000000202321450355336000212040ustar00rootroot00000000000000Getting Started --- Start by creating a new ShapeScript document. You can do this by selecting `File > New` in the menu bar (or by pressing **Cmd-N** on the keyboard). You will be prompted to select a name and location for your new file - you can call it anything you want, but be sure to retain the `.shape` file extension. **Note:** If you cannot see the file prompt, check that it hasn't appeared *behind* this help window. The help window floats in front of all other windows and applications, so you may need to move it out of the way. You should see a new window appear containing a cube, sphere and cone. These are the default contents for a new file (don't worry, you can replace them with your own shapes). ![New document window](../images/new-document-mac.png) ## Viewing Drag your mouse cursor inside the window and you will notice that the three objects appear to rotate. You are not actually moving the shapes themselves, but rotating the camera around them. To reset the view, select `View > Camera > Reset` or press **Cmd-0**. To help you orient yourself, you can use the `View > Show Axes` option, which displays the direction of the X, Y and Z axes. ![Show axes](../images/show-axes-mac.png) For more information about navigating around the model, see [Camera Control](camera-control.md). ## Editing To edit the 3D model, select the `Edit > Open in Editor` menu or press **Cmd-E**. ShapeScript does not include an editor. Instead, the `Open in Editor` command will ask you to select an external text editor to use. If you do not have any other editors installed, the default option will probably be TextEdit. Once opened, the file should look something like this: ![TextEdit window](../images/textedit-mac.png) ShapeScript files are just ordinary text documents, so they can be opened in any program that supports editing text. TextEdit will work, but is probably not the best choice as it does not support syntax coloring or any of the other programmer-friendly features of modern editors. If you have a more advanced editor such as [SubEthaEdit](https://subethaedit.net), [TextMate](https://macromates.com), [Sublime Text](https://www.sublimetext.com) or [Atom](https://atom.io) then it would be better to use one of these. An Integrated Development Environment (IDE) such as [Xcode](https://developer.apple.com/xcode/) is also a good option. No third-party editors currently support ShapeScript syntax directly, but if you set your editor to treat `.shape` files as another C-like language (e.g. C, Swift or Java) then it should do an acceptable job of syntax coloring and indenting. Some editors (such as Xcode) will make this association automatically, which will save you having to do it each time you edit a ShapeScript file. ShapeScript will only ask you which editor you want to use the *first* time you edit a file, then it will remember your choice. If you change your mind later, you can select a different editor in Preferences (select the `ShapeScript > Preferences…` menu or press **Cmd-,**). ## File Structure The first line of the default `.shape` document looks like this: ```swift // ShapeScript document ``` Lines beginning with `//` are comments, and are ignored by the parser. You can use these comments to document what the different parts of your file are doing. The next line is: ```swift detail 32 ``` This controls the level of detail used for shapes in the file. ShapeScript models are made out of flat polygons, so it is not possible for curved edges to be represented exactly. When you define a sphere or other curved shape, the `detail` value is used to decide how many polygons will be used. Next we have the following: ```swift cube { position -1.5 color 1 0 0 } ``` These three lines (ignoring the closing `}`) represent three distinct instructions, although they are grouped together because they all relate to a single shape. White space (such as spaces, tabs, or blank lines) is mostly ignored, however each new instruction must be placed on a new line. The first instruction, `cube`, creates the cube shape. Note the `{ ... }` braces after `cube`. Content inside braces relates to the instruction that precedes them. In this case, the braces contain instructions that set the `position` and `color` of the cube. The line `position -1.5` means "position the shape 1.5 spacial units to the left of the origin". The *origin* is the center of the world, and is the default position at which new shapes will appear. **Note:** The spacial units ShapeScript uses are arbitrary, and can represent anything that you wish them to: a centimeter, a meter, an inch, a mile, etc. Try to choose an appropriate scale for your models so that you avoid having to work with very large scales (thousands of units), or very small scales (thousandths of a unit). That will help to avoid rendering precision issues, as well as making your scripts easier to work with. The `position` keyword is followed by up to 3 numbers representing offsets along the X, Y, and Z axes respectively. If values are omitted, they are assumed to be zero, so a position o-f `-1.5` is equivalent to `-1.5 0 0`. This is covered in detail in the [transforms](transforms.md#position) section. The next line, `color 1 0 0` sets the current color. The three numbers after the keyword represent the red, green, and blue color channels, each with a range from 0 to 1. Because the red channel is 1 and the other channels are 0, the resultant color will be pure red. As with `position`, you can omit values for the `color`, but the behavior is slightly different: If you only specify one value then that will be used for all three color channels. You can optionally specify a fourth "alpha" value to control transparency. This is covered in detail in the [materials](materials.md#color) section. The groups of instructions after the cube are similar, but define a sphere and cone respectively. ## Next Steps Change the `color 1 0 0` instruction to `color 1 1 0`, and then save the file. If you switch back to the ShapeScript app you should now see that the red cube has changed to yellow. ShapeScript tracks changes to any open files and will automatically update the view whenever they are saved. ![Yellow cube](../images/yellow-cube-mac.png) Try tweaking the values for the `position` and `color` instructions and observing the effects. You could also try adding a `size` option, which works like the others, but controls the *size* of the shape. If you make a mistake, you will see a screen like this: ![Error screen](../images/error-screen-mac.png) There is no cause for alarm if you see this screen. Just fix your mistake and save again to clear the error. If you aren't sure what you did, and the error message doesn't help, use the `Edit > Undo` menu in your editor to backtrack to a working state and try again. When you are comfortable with manipulating the default shapes, try deleting them and adding new ones of your own. **Note:** Many text editors save automatically every few seconds, so you may find that ShapeScript applies your changes as you type, even if you haven't explicitly saved. If you are in the middle of typing a new command when the automatic refresh takes place, ShapeScript may display an error, just as if you had manually saved an incomplete file. Errors that appear while you are still typing can be safely ignored. ## Debugging and Selection You can get information about your scene (such as polygon count and overall dimensions) by selecting `View > Scene Info` (**Cmd-I**) in the menu bar. To get info about a particular shape in the scene, click on it in the viewer to select it, then use `View > Model Info` (**Cmd-I**) to get info on just the selected part. This will also tell you which line in the `.shape` file defines that component. Click outside of the shape, or press **Escape** to deselect it again. ![Object info](../images/object-info-mac.png) You can also use the `Edit > Select Shape` menu to select from a list of shapes in the scene, or cycle between selected shapes using the **Tab** key. **Note:** If you are having trouble identifying a particular shape from your `.shape` file, you can use the [debug command](debugging.md) to highlight it in the viewer. --- [Index](index.md) | Next: [Camera Control](camera-control.md) ShapeScript-1.6.14/docs/src/glossary.md000077500000000000000000000032301450355336000177410ustar00rootroot00000000000000Glossary --- Term | Definition :--------------------| :-------------------------- Block | A group of commands inside braces (sometimes synonymous with Scope) Builder | A command for creating a 3D mesh out of one or more 2D paths Color | An RGBA color to be applied to a mesh or vertex CSG | Constructive Solid Geometry - adding or subtracting meshes to make new shapes Function | A named, parameterized block that returns a value Geometry | A collective term for 2D or 3D shapes produced using ShapeScript Group | A group of paths or meshes. May also contain nested groups Half-turn | The unit used to specify angles or rotations in ShapeScript Material | A color or texture Mesh | A 3D shape made of polygons Member | A single component of a compound value like a vector or tuple Path | A line or curve in 3D space. May be open-ended or closed Primitive | A simple, built-in shape like a cube or sphere Range | A numeric range with a start, end and step value Scope | A section of code with its own symbol namespace Symbol | A named constant value or function Texture | An image map to be wrapped around a mesh Transform | A combined translation, rotation and scale Translation | A relative or absolute position or offset in 3D space Tuple | A list of values that can be accessed with .first, .second, etc. Vector | A position, direction or distance in 3D space --- [Index](index.md)ShapeScript-1.6.14/docs/src/groups.md000077500000000000000000000025131450355336000174200ustar00rootroot00000000000000Groups --- Complex 3D shapes often follow a natural hierarchy - a car has wheels, or a torso has arms and legs, etc. You can create a hierarchy in ShapeScript by using the `group` command: ```swift group { position -0.5 0 0 sphere { position 0 0 0 } cylinder { position 1 0 0 } } ``` Like other 3D shapes, a group has a `position` and `orientation` in 3D space, but it can also contain child shapes which inherit its coordinate system; if you move the group, its children move with it. The `position`, `orientation` and `size` properties of the children will be treated as relative to those of the containing group. You can override the current [options](options.md) (material, detail, etc.) at any point inside a group and only the subsequent children will be affected. You can also use [relative transform](transforms.md#relative-transforms) commands to manipulate the position of subsequent shapes inside the group: ```swift group { color 1 0 0 sphere translate 1 color 0 1 0 cylinder translate 1 rotate 0.1 scale 0.5 color 0 0 1 cube } ``` ![Group](../images/group.png) **Note:** Changes made to properties such as transform or material are [scoped](scope.md) to the group, and will not carry beyond the closing `}`. --- [Index](index.md) | Next: [Lights](lights.md) ShapeScript-1.6.14/docs/src/import.md000077500000000000000000000056261450355336000174230ustar00rootroot00000000000000Import --- ## Scripts ShapeScript files can get quite large for complicated scenes, and you may find that there are common shapes that you wish to across multiple ShapeScript files. The `import` command can help with both of these problems: ```swift import "MyShape.shape" ``` Here we've used `import` to load an external ShapeScript file and evaluate it inside the calling script. Any symbols that are defined in the imported file will become available inside the [scope](scope.md) in which it is loaded, and any geometry created by the imported file will be displayed. You can import the same file several times in the same script, and import statements can appear inside [loops](control-flow.md#loops), [if statements](control-flow.md#if-else) or [blocks](blocks.md). If you don't want the geometry inside an imported file to be displayed immediately, you can place the import inside a [define](symbols.md) statement: ```swift define ball { import "Ball.shape" } ``` In this way, the loaded shape is bound to a symbol of your choice, and can be used a later point in the script. This approach also prevents any [symbols](symbols.md) defined in the imported script from leaking outside into the calling script's global [scope](scope.md). **Note:** As with textures, the first time you try to import a file you may see an [access permission](materials.md#access-permission) warning. ## Models The `import` command is not limited to loading `.shape` files. It can load models in any of the [export formats](export.md) supported by ShapeScript. Imported models can be used just like imported script files: ```swift define rocket { texture "Rocket.png" import "Rocket.obj" } ``` Depending on the format, imported models may include their own [materials](materials.md). Uncolored / untextured models will inherit the current ShapeScript material properties. ## Text and Data In addition to scripts and standard model formats, text files can be imported as a [string](literals.md#strings) value. ```swift define text { import "Text.txt" } ``` Imported strings can then be displayed directly, or further processed using ShapeScript's [string functions](functions.md#strings): ```swift for line in text.lines { print (trim line) } ``` As well as plain text, ShapeScript also supports importing JSON files as [structured data](literals.md#structured-data): ```swift define data { import "Data.json" } ``` ## Dynamic Imports It can sometimes be useful to generate the name of an imported file dynamically. For example if you have multiple numbered files to import, you might want to generate the names programatically. You can do this using the [text interpolation](text.md#interpolation) feature. The following code, for example, will load the files "Shape1.shape", "Shape2.shape"... up to "Shape10.shape": ```swift for n in 1 to 10 { import "Shape" n ".shape" } ``` --- [Index](index.md) | Next: [Export](export.md) ShapeScript-1.6.14/docs/src/index.md000077500000000000000000000157471450355336000172250ustar00rootroot00000000000000ShapeScript Help --- - [Getting Started](getting-started.md) - [Viewing](getting-started.md#viewing) - [Editing](getting-started.md#editing) - [File Structure](getting-started.md#file-structure) - [Next Steps](getting-started.md#next-steps) - [Debugging and Selection](getting-started.md#debugging-and-selection) - [Camera Control](camera-control.md) - [Camera Selection](camera-control.md#camera-selection) - [Mouse Control](camera-control.md#mouse-control) - [Trackpad Control](camera-control.md#trackpad-control) - [Copy Settings](camera-control.md#copy-settings) - Geometry - [Primitives](primitives.md) - [Cube](primitives.md#cube) - [Sphere](primitives.md#sphere) - [Cylinder](primitives.md#cylinder) - [Cone](primitives.md#cone) - [Options](options.md) - [Name](options.md#name) - [Detail](options.md#detail) - [Smoothing](options.md#smoothing) - [Transform](options.md#transform) - [Material](options.md#material) - [Materials](materials.md) - [Color](materials.md#color) - [Texture](materials.md#texture) - [Opacity](materials.md#opacity) - [Transforms](transforms.md) - [Position](transforms.md#position) - [Orientation](transforms.md#orientation) - [Size](transforms.md#size) - [Relative Transforms](transforms.md#relative-transforms) - [Bounds](bounds.md) - [Mesh Bounds](bounds.md#mesh-bounds) - [Path Bounds](bounds.md#path-bounds) - [Bounds Members](bounds.md#bounds-members) - [Meshes](meshes.md) - [Polygons and Points](meshes.md#polygons-and-points) - [Watertightness](meshes.md#watertightness) - [Winding order](meshes.md#winding-order) - [Procedural Meshes](meshes.md#procedural-meshes) - [Concave and Non-planar Polygons](meshes.md#concave-and-non-planar-polygons) - [Paths](paths.md) - [Points](paths.md#points) - [Curves](paths.md#curves) - [Arcs](paths.md#arcs) - [Circles](paths.md#circles) - [Rectangles](paths.md#rectangles) - [Regular Polygons](paths.md#regular-polygons) - [Procedural Paths](paths.md#procedural-paths) - [Nested Paths](paths.md#nested-paths) - [Path Colors](paths.md#path-colors) - [SVG Paths](paths.md#svg-paths) - [Text](text.md) - [Interpolation](text.md#interpolation) - [Wrap Width](text.md#wrap-width) - [Size and Line Height](text.md#size-and-line-height) - [Line Spacing](text.md#line-spacing) - [Position and Orientation](text.md#position-and-orientation) - [Font](text.md#font) - [Builders](builders.md) - [Fill](builders.md#fill) - [Lathe](builders.md#lathe) - [Extrude](builders.md#extrude) - [Loft](builders.md#loft) - [Hull](builders.md#hull) - [Constructive Solid Geometry](csg.md) - [Difference](csg.md#difference) - [Intersection](csg.md#intersection) - [Union](csg.md#union) - [XOR](csg.md#xor) - [Stencil](csg.md#stencil) - [Groups](groups.md) - [Lights](lights.md) - [Ambient](lights.md#ambient) - [Directional](lights.md#directional) - [Point Lights](lights.md#point-lights) - [Spotlights](lights.md#spotlights) - [Debugging](lights.md#debugging) - [Cameras](cameras.md) - [Custom Cameras](cameras.md#custom-cameras) - [Position](cameras.md#position) - [Orientation](cameras.md#orientation) - [Field of View](cameras.md#field-of-view) - [Orthographic View](cameras.md#orthographic-view) - [Background](cameras.md#background) - [Pixel Dimensions](cameras.md#pixel-dimensions) - Syntax - [Comments](comments.md) - [Block Comments](comments.md#block-comments) - [Nested Comments](comments.md#nested-comments) - [Literals](literals.md) - [Strings](literals.md#strings) - [Vectors and Tuples](literals.md#vectors-and-tuples) - [Structured Data](literals.md#structured-data) - [Symbols](symbols.md) - [Expressions](expressions.md) - [Operators](expressions.md#operators) - [Equality and Comparison](expressions.md#equality-and-comparison) - [Linear Algebra](expressions.md#linear-algebra) - [Boolean Algebra](expressions.md#boolean-algebra) - [Members](expressions.md#members) - [Ranges](expressions.md#ranges) - [Functions](functions.md) - [Arithmetic](functions.md#arithmetic) - [Linear Algebra](functions.md#linear-algebra) - [Trigonometry](functions.md#trigonometry) - [Strings](functions.md#strings) - [Functions and Expressions](functions.md#functions-and-expressions) - [Custom Functions](functions.md#custom-functions) - [Commands](commands.md) - [Background](commands.md#background) - [Detail](commands.md#detail) - [Smoothing](commands.md#smoothing) - [Materials](commands.md#materials) - [Font](commands.md#font) - [Transforms](commands.md#transforms) - [Primitives](commands.md#primitives) - [Paths](commands.md#paths) - [Text](commands.md#text) - [Builders](commands.md#builders) - [Constructive Solid Geometry](commands.md#constructive-solid-geometry) - [Random Numbers](commands.md#random-numbers) - [Debugging](commands.md#debugging) - [Import](commands.md#import) - [Control Flow](control-flow.md) - [Loops](control-flow.md#loops) - [Loop Index](control-flow.md#loop-index) - [Looping Backwards](control-flow.md#looping-backwards) - [Looping Over Values](control-flow.md#looping-over-values) - [If-Else](control-flow.md#if-else) - [Conditional Defines](control-flow.md#conditional-defines) - [Blocks](blocks.md) - [Options](blocks.md#options) - [Scope](scope.md) - [Block Scope](scope.md#block-scope) - [Function Scope](scope.md#function-scope) - [Conditional Scope](scope.md#conditional-scope) - [Debugging](debugging.md) - [Logging](debugging.md#logging) - [Assertions](debugging.md#assertions) - [Import](import.md) - [Scripts](import.md#scripts) - [Models](import.md#models) - [Text and Data](import.md#text-and-data) - [Dynamic Imports](import.md#dynamic-imports) - [Export](export.md) - [Export Formats](export.md#export-formats) - [Games and AR](export.md#games-and-ar) - [3D Printing](export.md#3d-printing) - [Image Formats](export.md#image-formats) - [Image Options](export.md#image-options) - [Examples](examples.md) - [Ball](examples.md#ball) - [Chessboard](examples.md#chessboard) - [Cog](examples.md#cog) - [Earth](examples.md#earth) - [Icosahedron](examples.md#icosahedron) - [Spirals](examples.md#spirals) - [Spring](examples.md#spring) - [Train](examples.md#train) - [Glossary](glossary.md) ShapeScript-1.6.14/docs/src/lights.md000077500000000000000000000127641450355336000174040ustar00rootroot00000000000000Lights --- By default, scenes created in ShapeScript are lit with a bright, white, camera-aligned directional light. This is good for viewing purposes, but limited. ShapeScript allows you to add your own lights to the scene, which can help produce a nicer effect when rendering a scene for display. Lights come in four basic types, all created using the `light` command. ## Ambient An ambient light is one that illuminates all objects in the scene uniformly. It does not have a position or direction, and does not cast shadows. To define an ambient light, add the following to your scene: ```swift light {} ``` This creates a white ambient light at full brightness. The ambient light is applied in addition to the default lighting, with the result that the scene appears over-bright, or *washed out*: ![Over-bright ambient light](../images/washed-out.png) To solve this, you can reduce the intensity of the light by setting its color: ```swift light { color 0.5 // 50% intensity } ``` The `color` parameter of the light behaves just like any other [color](materials.md#color) in ShapeScript. You can pass up to four values representing the red, green blue and alpha components. ```swift light { color 1 0 1 // purple light } light { color #FF00FF // purple again, this time specified as a hex color literal } ``` Alpha transparency isn't really meaningful in the context of a light source, so you can think of the fourth (alpha) component of the color as its *intensity*. In the first example above we uses a color value of 0.5 to indicate 50% intensity, but an alternative way to specify this would be to use a color with 50% alpha: ```swift light { color 1 0.5 // white light with 50% intensity } light { color #FF7F00 0.25 // orange light with 25% intensity } ``` The advantage of this is that you can use the alpha component to vary the intensity of an arbitrary color, rather that having to calculate each component individually. ## Directional Directional lights simulate a distant light source, like the Sun. To create a directional light, add an `orientation` component to your light: ```swift light { color white orientation 0 0 0 } ``` An orientation of `0 0 0` (or just `0` for short) creates a light that points directly down the Z axis, and is equivalent to the default light for a front-facing camera (unlike the default lighting, this light won't move with the camera if you rotate the view however). The three values represent the rotation around the Z, Y and X axes respectively. To create a light that shines from the left you could use: ```swift light { orientation 0 0.5 0 } ``` This rotates the light by 90 degrees (`0.5 * 180`) around the vertical (Y) axis. ![Directional light shining from the left](../images/left-light.png) **Note:** unlike ambient light, adding a directional light to the scene disables/replaces the default lighting. Lights are also affected by [relative transforms](transforms.md#relative-transforms), so the following would be equivalent to the above: ```swift rotate 0 0.5 0 camera { orientation 0 } ``` **Note:** the `orientation 0` is still required, otherwise the light will be treated as ambient and will not be affected by the rotation. ## Point Lights A point light is an omnidirectional light that exists at a particular location in space. It has a position, but no orientation: ```swift camera { position -5 0 0 } ``` As you can see, the effect of placing a point light to the left of your scene is similar to a direction light facing from this direction. Unlike a directional light however, a point light can be placed in between objects in the scene: ```swift camera { position 0.5 0 0 } ``` ![Point light between objects](../images/point-light.png) ## Spotlights A spotlight has both a position *and* direction. The following code creates a yellow spotlight located just to the left of the enter of the scene, pointing down and to the right: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ``` ![Spotlight](../images/spotlight.png) By default, spotlights cast light in a 45-degree cone. You can alter this with the `spread` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 spread 0.5 } ``` The spread is a value between 0 and 1 representing a cone angle from 0 to 180 degrees, so `0.5` in the example maps to a 90-degree cone: ![Wide spotlight](../images/spotlight-wide.png) You've probably noticed that the edge of the light cast by the spotlight is blurred. The blurred region around the spotlight is known as the [penumbra](https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra#Penumbra), and can be adjusted using the `penumbra` option: ```swift light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 penumbra 0 } ``` The `penumbra` is specified as a value between 0 and 1 representing the proportion of the total spotlight cone that should be blurred. The default is `1` (meaning the blur is spread right across the cone). A value of zero results in a completely sharp edge: ![Sharp spotlight](../images/spotlight-sharp.png) ## Debugging Since it can be hard to visualize the position of a spot or point light, you can use the [debug command](debugging.md) to make the light temporarily visible in the ShapeScript viewer: ```swift debug light { color yellow position -0.75 0 0 orientation -0.15 0 0.5 } ```swift ![Debugging a spotlight](../images/spotlight-debug.png) --- [Index](index.md) | Next: [Cameras](cameras.md) ShapeScript-1.6.14/docs/src/literals.md000077500000000000000000000135021450355336000177200ustar00rootroot00000000000000Literals --- Literals are values that you type in your ShapeScript file. They could be numbers, text or something else. Literals can be passed as parameters to [options](options.md), [functions](functions.md) or [commands](commands.md), or used in [expressions](expressions.md). Here are some examples: ```swift 5 // an integer literal 37.2 // a decimal literal false // a boolean literal "hello" // a string literal 1 0 0 // a vector literal #FF0000 // a hex color literal ``` ## Strings Strings are how human-readable text is represented in ShapeScript. These are used for a variety of purposes, including specifying file names for [imports](import.md) or [textures](materials.md#texture), [logging](debugging.md#logging) debug information to the console, or even rendering 3D text. String literals are delimited by double quotes (`"`) to prevent ambiguity if the text matches a keyword or [symbol](symbols.md), or contains spaces or other punctuation. If you want to use a double quote *inside* the text itself then it must be *escaped* using a backslash (`\`) character: ```swift "hello \"Bob\" (if that's your real name)" ``` A line containing a string literal without a closing `"` is treated as an error, so if you need to include line-breaks in your string then these must also be escaped. Use the escape sequence `\n` (short for "new line") to indicate a line-break: ```swift "first line\nsecond line" ``` Because `\` is used as the escape character, it must also be escaped if you want it to appear literally in the string. Use a double `\\` in this case (there is no need to escape forward slashes (`/`) however): ```swift "back slash: \\" "forward slash: /" ``` ## Vectors and Tuples A sequence of values separated by spaces defines a [tuple](https://en.wikipedia.org/wiki/Tuple). A tuple of numeric values is also known as a *vector*. Vectors are used in ShapeScript to represent positions, colors, sizes and rotations. Many [commands](https://github.com/nicklockwood/ShapeScript/blob/develop/Help/commands.md) in ShapeScript accept a vector argument, and you can pass a tuple to these commands directly: ```swift translate 1 0 0 ``` You can also [define](symbols.md) a tuple value to use later: ```swift define size 1 1 0.5 ``` A tuple defined in this way doesn't know if it's going to be used as a vector - it's just a sequence of numbers. We might guess from the name "size" that it will be used to set the size of something, but there's nothing preventing you from using it as, say, a [color](materials.md#color) value: ```swift define size 1 1 0.5 color size // sets color to yellow ``` Tuples are't limited to numbers. They can be comprised of any type of value (including other tuples), or a mix of different types: ```swift define size 1 2 3 define myTuple2 "hello" 5.3 size ``` ## Structured Data As well as simple values like numbers and text, it can sometimes be useful to group together sets of related data. Tuples can be nested arbitrarily to create complex data structures: ```swift define matrix (1 2 3) (4 5 6) (7 8 9) ``` Parentheses are used here to indicate that this is a tuple of three nested tuples, and not a single tuple of nine numbers. To make this more readable, you can wrap the data over multiple lines inside outer parentheses, and even use [comments](comments.md) if you wish: ```swift define matrix ( (1 2 3) // position (4 5 6) // scale (7 8 9) // orientation ) ``` **Note:** The line breaks have no semantic meaning here, they only serve to make the code more readable. Only the parentheses are used to determine the grouping. Since no built-in commands in ShapeScript consume structured data like this, you need a way to access individual elements. You can do this in two ways: To extract individual values from a tuple, you can use [member syntax](expressions.md#members). If the tuple is numeric and shaped like a vector, size, rotation or color then you can use the `x`/`y`/`z`, `width`/`height`/`depth`, `roll`/`yaw`/`pitch` or `red`/`green`/`blue`/`alpha` members respectively: ```swift define pos 1 2 print pos.x // 1 print pos.y // 2 print pos.z // 0 define size 3 4 5 print size.width // 3 print size.height // 4 print size.depth // 5 define rotation 0.5 0.25 0 print rotation.roll // 0.5 print rotation.yaw // 0.25 print rotation.pitch // 0 define col 1 0 0 print col.red // 1 print col.green // 0 print col.blue // 0 print col.alpha // 1 ``` For more abstract data, you can use the ordinal members (`first`, `second`, `third`, ... `last`) to access members by index: ```swift define data ( "cube" // name (1 2 3) // position #ff0000 // color ) print data.count // 3 print data.first // name print data.second // position print data.last // color ``` Member expressions can be chained, so something like this will also work: ```swift print data.second.x // x component of the position ``` You can split up lists of data using the `allButFirst` and `allButLast` members: ```swift define data (1 2 3 4 5) print data.allButFirst // 2 3 4 5 print data.allButLast // 1 2 3 4 ``` For list-like data, you can use a [for loop](control-flow.md#looping-over-values) to loop over the top-level values: ```swift define positions ( (1 1 2) (2 1 2) (3 1 2) ) for p in positions { cube { position p } } ``` You can even use nested loops to access sub-elements: ```swift define matrix ( (1 2 3) (4 5 6) (7 8 9) ) for row in matrix { for column in row { print column // prints 1 to 9 } } ``` **Note:** There is no requirement that rows in such a structure are the same type or length: ```swift define data ( (1 2 3) (10) // single element () // empty tuple ("hello" "world") // non-numeric ) for row in data { for element in row { print element // prints 1, 2, 3, 10, "hello", "world" } } ``` --- [Index](index.md) | Next: [Symbols](symbols.md) ShapeScript-1.6.14/docs/src/materials.md000077500000000000000000000222731450355336000200670ustar00rootroot00000000000000Materials --- By default, all geometry that you create in ShapeScript appears as if it were made of a matte white plastic. You can alter this appearance using *materials*. Material support in ShapeScript is fairly limited at the moment, but you can set the *color* and *texture* of shapes. A given shape can only have either a color or texture, but not both. Setting the texture will clear the color and vice-versa. ## Color You can alter the color of your shapes using the `color` (or `colour`) command, which accepts a color value in a variety of formats: Numeric RGB, hexadecimal or predefined: The following commands all produce a red cube: ```swift cube { color 1 0 0 } cube { color #FF0000 } cube { color #F00 } cube { color red } ``` Because `color` is a command rather than an option, you can use it anywhere in your program and it will affect all subsequent shapes that you create. If you use the `color` command *inside* a shape or [group](groups.md) then its effect will end at the closing `}`: ```swift color green group { color red cube // red cube } sphere // green sphere ``` ### RGB Colors As mentioned in [Getting Started](getting-started.md), `color` can accept a tuple of up to 4 values that represent the red, green, blue and alpha color channels respectively. Values should be specified in the range 0 (no color) to 1 (full color): ```swift color 1 0 0 // bright red color 0.5 0 0 // a darker shade of red color 0.5 0.5 0 // an olive green ``` The red, green and blue channels control the color itself, and the alpha channel controls transparency. An alpha of 0 is fully transparent (invisible), and an alpha of 1 is fully opaque. If omitted, the alpha value defaults to 1. Alpha values between 0 and 1 can be used to create *translucent* colors, which blend with the background behind them. The following code would produce a 50% transparent red sphere: ```swift sphere { color 1 0 0 0.5 } ``` If fewer than 3 parameters are passed to the `color` command, the first parameter is treated as the overall luminance (brightness) value, meaning that the resultant color will be set to a shade of gray between 0 (black) and 1 (white). The table below shows how RGBA color values are interpreted, based on the number of components: Number of parameters | Meaning :--------------------------- | :-------------------------- 1 | Luminance 2 | Luminance and alpha 3 | Red, green and blue 4 | Red, green, blue and alpha
    For example, the following both produce a light shade gray of gray, with a luminance of 0.8: ```swift color 0.8 color 0.8 0.8 0.8 ``` And the following both produce 50% a translucent white, with full luminance and 50% alpha : ```swift color 1 0.5 color 1 1 1 0.5 ``` ### Hexadecimal Colors Instead of numeric values, you can use web-style hex codes to specify colors. These consist of a hash character (`#`) followed by 3 or 4 pairs of hexadecimal digits to specify color components in the range 0-255. Hex color codes are a popular convention and are supported by many graphics tools. Here are some examples: ```swift color #FF0000 // pure red color #7F7F7F // 50% gray color #000000 // pure black ``` As with numeric RGB colors, hex colors are opaque by default, but you can vary the alpha by adding a fourth pair of hexadecimal digits in the range `00` (fully transparent) to `FF` (fully opaque)`. A value of `7F` results in 50% transparency: ```swift color #FF00007F // 50% transparent red ``` As with [web colors](https://en.wikipedia.org/wiki/Web_colors), you can use a three-digit "short hex" format as follows: ```swift color #F00 // equivalent to #FF0000 ``` And you can also use a fourth digit to specify alpha: ```swift color #F006 // equivalent to #FF000066 ``` ### Predefined Colors ShapeScript defines some built-in color constants for you to use: Name | R G B | Hexadecimal | Short Hex :---------| :-----------| :-----------| :--------- black | 0 0 0 | #000000 | #000 blue | 0 0 1 | #0000FF | #00F green | 0 1 0 | #00FF00 | #0F0 cyan | 0 1 1 | #00FFFF | #0FF red | 1 0 0 | #FF0000 | #F00 magenta | 1 0 1 | #FF00FF | #F0F yellow | 1 1 0 | #FFFF00 | #FF0 white | 1 1 1 | #FFFFFF | #FFF orange | 1 0.5 0 | #FF7F00 | - gray/grey | 0.5 0.5 0.5 | #7F7F7F | -
    You can override these built-in colors using the `define` command, or define new colors of your own: ```swift define red 1 0.3 0.1 // override the default red color with a custom shade define lightGray 0.8 // define a new color "lightGray" with 80% luminance ``` ### Alpha Override The predefined colors are all opaque (have an alpha of 1) by default, but you can override the alpha as follows: ```swift color red 0.5 // set color to red with 50% alpha define greenGlass green 0.2 color greenGlass // set color to green with 20% alpha ``` This approach also works for user-defined color constants, and with RGB and hexadecimal color literals: ```swift define skyBlue 0.5 0.8 1 // opaque blue color skyBlue 0.5 // 50% transparent blue color #ff0 0.5 // 50% transparent yellow ``` ## Texture A texture is an image that is wrapped around a 3D shape, either as decoration, or to give the appearance of more surface detail than is actually there. You can set the texture for your shapes using the `texture` command: ```swift sphere { texture "filename.png" } ``` The parameter for the `texture` command is the name of an external image file to display. The name can include either an absolute or relative file path, enclosed in double quotes. If a relative path is used it should be specified relative to the ShapeScript file that references it. The texture name can be constructed dynamically by using [string interpolation](text.md#interpolation), which is useful if you have multiple texture files with a common prefix or suffix: ```swift for n in 1 to 5 { cube { texture "file" n ".png" position n } } ``` As with `color`, once a texture has been set it will be applied to all subsequent shapes defined in the same [scope](scope.md). To clear the current texture you can set it to an empty string: ```swift texture "" ``` ### Access Permission The first time you try to use an image, you will see an error screen like the one below. ![Sandbox error](../images/sandbox-error.png) This is because Apple employs a security feature called [sandboxing](https://en.wikipedia.org/wiki/Sandbox_(computer_security)) to prevent apps from accessing files without the user's permission. Use the `Grant Access` button to open the containing folder for your images. If you prefer, you can just grant access to the specific image file, but in that case you will need to grant access individually to each new texture that you use. ### Texture Wrapping How a texture is applied depends on the shape. Different shape types have different default wrapping schemes: ![Textured cube](../images/textured-cube.png) ![Textured sphere](../images/textured-sphere.png) ![Textured cylinder](../images/textured-cylinder.png) ![Textured cone](../images/textured-cone.png) Currently there is no way to override the default wrapping scheme, but the way that you create a shape affects the way that it is textured. For example, creating a cube using the `cube` command will result in a different texture wrapping effect than creating it by [extruding](builders.md#extrude) a square. ## Opacity Opacity is a measure of how transparent an object is. You can vary the opacity for an object or group using the alpha property of the `color` (as described [above](#color)), but sometimes you may want to vary the opacity of a whole tree of differently-colored objects, and for that you can use the `opacity` command: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green sphere // 50% transparent green sphere } ``` Setting `opacity` affects all subsequently defined objects up until the end of the current [scope](scope.md). The `color` or `texture` of each object is multiplied by the current `opacity` value, so a `color` with alpha 0.5 combined with an `opacity` of 0.5 will result in the object being drawn with an overall opacity of 0.25. Opacity is applied hierarchically. The value you specify with the `opacity` command is multiplied by the value set in the parent scope, so drawing an object with `opacity` 1.0 inside a scope with `opacity` 0.5 will result in in an opacity of 0.5, not 1.0, because the inner value is relative to the outer value. As with the alpha property of `color`, `opacity` is measured in the range 0 (fully transparent) to 1 (fully opaque), however you can specify `opacity` values higher than 1. This can be useful for making an object *more* opaque than the base level for its current scope. For example, by setting `opacity` to 1 / [the parent scope opacity], you can cancel it out: ```swift opacity 0.5 group { color 1 0 0 // opaque red cube // 50% transparent red cube color 0 1 0 // opaque green opacity 2 // cancel out the 50% opacity sphere // opaque green sphere } ``` --- [Index](index.md) | Next: [Transforms](transforms.md) ShapeScript-1.6.14/docs/src/meshes.md000077500000000000000000000140661450355336000173730ustar00rootroot00000000000000Meshes --- While they may appear solid, the 3D shapes that ShapeScript produces are actually hollow shells composed of polygons. These polygon shells are known as [meshes](https://en.wikipedia.org/wiki/Polygon_mesh). ShapeScript provides many tools for constructing meshes, including [primitives](primitives.md), [builders](builders.md) and [CSG](csg.md) operations, but you can also create meshes manually by specifying each polygon yourself. While this is generally a tedious approach compared to the other tools, it affords you complete control over the mesh topology, and allows you to create arbitrary shapes that might be hard to achieve with higher-level tools. ## Polygons and Points A mesh is made up of one or more *polygons*, and each polygon is made up of three or more [vertices](https://en.wikipedia.org/wiki/Vertex_(geometry)) or *points*. To construct a mesh you use the `mesh`, `polygon` and `point` commands. The following code defines the simplest possible mesh - a single triangle: ```swift mesh { polygon { point 0 0 point 1 0 point 1 1 } } ``` ![Triangle](../images/triangle-polygon.png) The `point` command accepts a [vector](literals.md#vectors-and-tuples) value. Polygons can be placed anywhere in three-dimensional space, so `point` accepts up to three values (for the X, Y and Z coordinates respectively). In this case we've just specified two values, so the Z coordinate defaults to zero. Manually constructed meshes do not currently support textures, but they inherit the current [material color](materials.md#color). Color can also be applied separately to individual vertices within a mesh. When vertices of a given polygon have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift mesh { polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } } ``` ![Colored triangle](../images/colored-triangle.png) ## Watertightness If you rotate the triangle you will see that the back face is invisible. Most of the mesh-construction commands in ShapeScript produce shapes that are *watertight*, meaning that they do not contain any holes that would allow you to see the back faces of the polygon surface, but when you create a mesh using the `mesh` command it's up to you to ensure that the mesh you create is watertight. You can check this by selecting the mesh in the editor and [getting info](getting-started.md#debugging-and-selection). As you can see, our triangle is not watertight: ![Not watertight](../images/not-watertight.png) Watertightness is an important quality when using [CSG](csg.md) operations, because the "solid" in Constructive Solid Geometry implies that shapes are expected to behave like solid objects (even though they are actually hollow), and holes or exposed back faces will cause glitches as ShapeScript is unable to determine whether a given point lies inside or outside the shape. To solve this, we can add another triangle with the same vertices but facing the opposite direction. But wait - we never specified the direction of the triangle face in the first place, so how does ShapeScript decide which way a polygon is facing? ## Winding order By convention, polygons in ShapeScript are assumed to be defined with [counterclockwise](https://en.wikipedia.org/wiki/Counterclockwise) (aka *anticlockwise*) winding. What that means is that when looking at the polygon from the front, the vertices will be ordered in counterclockwise direction. To add a back face we'll create a second triangle with the inverse vertex order: ```swift mesh { // Front polygon { color red point 0 0 color green point 1 0 color blue point 1 1 } // Back polygon { point 1 1 point 1 0 point 0 0 } } ``` (We've left the back face white in this case, so you can tell which side is which). If you get info again you'll see that the triangle is now watertight: ## Procedural Meshes We've learned how to make a triangle, but what about something a bit more complex? For our next trick we're going to create a cube. A cube has six faces, each consisting of four vertices - 24 vertices in total. But in fact there are really only eight unique vertices, so rather than tediously typing out the same points over and over, maybe we can use the power of scripting to save ourselves some effort? First we'll define a [block](blocks.md) called "side" that creates a single side of the cube: ```swift define side { color rnd rnd rnd polygon { point -0.5 -0.5 0.5 point +0.5 -0.5 0.5 point +0.5 +0.5 0.5 point -0.5 +0.5 0.5 } } ``` Note that the `color rnd rnd rnd` - this will produce a different random color each time the block is called, making the cube a little more interesting to look at. Next we'll call `side` block six times from inside a `mesh`, passing a different orientation each time: ```swift mesh { side { orientation 0 } side { orientation 0 0.5 } side { orientation 0 1 } side { orientation 0 1.5 } side { orientation 0 0 0.5 } side { orientation 0 0 -0.5 } } ``` And voila! A colored cube: ![Cube mesh](../images/cube-mesh.png) Obviously this is a lot more trouble than just using the [cube](primitives.md#cube) command, but hopefully you can see the potential for creating more interesting shapes. ## Concave and Non-planar Polygons In many 3D engines, meshes must be constructed exclusively from triangles. The reason for this is that by definition a triangle is always both [convex](https://en.wikipedia.org/wiki/Convex_polygon) and *planar*, meaning that all its vertices lie on the same plane, which simplifies the mathematics needed to [rasterize](https://en.wikipedia.org/wiki/Rasterisation) or render the mesh. ShapeScript places no such restrictions on the polygons that you define in your mesh. Non-planar or non-convex polygons will be automatically split into their constituent triangles as needed for [export](export.md) or display. --- [Index](index.md) | Next: [Paths](paths.md) ShapeScript-1.6.14/docs/src/options.md000077500000000000000000000134111450355336000175730ustar00rootroot00000000000000Options --- All 3D shapes in ShapeScript have a common set of options that you can configure. As implied by the name, options are *optional* - they always have sensible default values that will be used if you don't specify a value. Some shapes have extra options, specific to that shape. Later you will learn how to define custom options on your own shapes using the [option command](blocks.md#options). An option is denoted by a name followed by one or more values or expressions inside a shape [block](blocks.md). Different options accept different value types, but typically these will be a number, vector or text. Here are some examples: ```swift cube { detail 5 // a numeric value position 1 0 -1 // a vector value texture "Earth.png" // a texture value } ``` ## Name The `name` option allows you to assign a name to a given shape or group, for example: ```swift cylinder { name "Wheel" size 1 1 0.1 } ``` The name can contain spaces or punctuation, and is wrapped in double quotes to prevent ambiguity with other symbols (see [literals](literals.md) for details). The name can be useful for identifying distinct shape components when [selecting them](getting-started.md#debugging-and-selection) in the viewer, or when importing a model exported from ShapeScript into another application (see the [export](export.md) section for details). ## Detail As discussed in the [getting started](getting-started.md) and [primitives](primitives.md) sections, curved shapes cannot be represented exactly using triangles, so they must be approximated to a specified level of detail. ShapeScript allows you to configure that detail setting using the `detail` command: ```swift sphere { detail 32 } ``` Unlike `name`, `detail` is not actually an option, but a global command. You can change detail level at any point within your ShapeScript file, and it will affect all shapes defined subsequently up to the end of the current [scope](scope.md). The detail level can be overridden hierarchically, so a `detail` command inside a shape will take precedence over a `detail` command in its containing scope: ```swift detail 8 sphere { detail 32 } // has detail of 32 cylinder { position 1 } // has detail of 8 ``` ![Detail](../images/detail.png) The `detail` command accepts a single integer value, which represents the number of straight sections used to approximate a circle. This is directly applicable to shapes that have circular sections, such as a sphere or cylinder, as well as to circular [paths](paths.md). For curved shapes that are not circular, such as a custom [path](paths.md), the relationship between the `detail` value and the number of sections is not quite so straightforward, but typically 1/4 of the `detail` value will be applied to each curved section of the path. ## Smoothing Similar to `detail`, `smoothing` is used to control the appearance of curved shapes. As mentioned above, all shapes in ShapeScript are formed from flat triangles. To create the illusion of a curved surface, lighting can be smoothly interpolated across polygon faces to give the appearance of curvature. Lighting is calculated using [surface normals](https://en.wikipedia.org/wiki/Normal_(geometry)) - vectors pointing outwards from each [vertex](https://en.wikipedia.org/wiki/Vertex_(geometry)) in a mesh that are used to indicate when the simulated curvature differs from the geometric reality. [Primitive shapes](primitives.md) in ShapeScript all have appropriate normals set by default, and when creating [paths](paths.md) you can use the `curve` command to specify when a corner should appear curved rather than sharp. However, there are times when you may wish to override the default behavior, e.g. to deliberately create a more angular appearance, or to smooth an [imported](import.md) model that does not already include appropriate surface normal data. The `smoothing` command accepts a numeric value in the range 0 to 1. This represents an angle between 0 and 180 degrees (see the [trigonometry section](functions.md#trigonometry) for more about how angles are represented in ShapeScript). This angle is the threshold at which ShapeScript will apply normal-based smoothing. Edges that meet at a greater angle than this threshold will be rendered as a sharp seam, and those that meet at lesser angle will appear as a smooth curve. On that basis, a `smoothing` value of 0 means all edges will appear sharp. A value of 1 means all edges will appear rounded (this may look a little strange). A value of 0.5 (90 degrees) means that [obtuse](https://en.wikipedia.org/wiki/Angle#Types_of_angles) edges will appear rounded and acute ones will appear sharp. Like `detail`, `smoothing` is a global option that applies hierarchically. You set it once at the top of the file, individually inside each shape, or any combination: ```swift smoothing 0 // flat shading cylinder { smoothing 0.5 } // smooth shading sphere { position 1 } // inherits flat-shading from file scope ``` ![Smoothing](../images/smoothing.png) ## Transform Every shape has a position, orientation and size in space. Collectively, these are known as the shape's *transform*, and they can be set using the following options: - `position x y z` - `orientation roll yaw pitch` - `size width height depth` For more information on how these are used, see the [transforms](transforms.md) section. ## Material You can set the color and texture of a shape (collectively known as its *material*) by using the `color` and `texture` options. Like `detail`, `color` and `texture` are not actually options, but global commands that can be set anywhere in your ShapeScript file and will apply to all subsequent shapes within the current [scope](scope.md). For more information about materials, see the [materials](materials.md) section. --- [Index](index.md) | Next: [Materials](materials.md) ShapeScript-1.6.14/docs/src/paths.md000077500000000000000000000222041450355336000172170ustar00rootroot00000000000000Paths --- A path is a sequence of line segments or curves joined end-to-end. The points of the path can be positioned anywhere in 3D space, and the path can be open-ended or closed. Paths are not typically used directly as part of a scene (except possibly for something like a thin rope or antenna), but they can be used to define the contours or profile of a 3D shape (see [builders](builders.md) for details). ## Points As with the [polygons](meshes.md#polygons-and-points) in a mesh, you define a path using a series of points. A path must have at least two points to be visible. The following path defines a short, horizontal line along the X axis. ```swift path { point -1 0 point 1 0 } ``` ![Line](../images/line.png) In the above example we used the `point` command, which accepts a [vector](literals.md#vectors-and-tuples) value. Paths can be three-dimensional, so `point` accepts up to three coordinates, but most paths that you create in practice will be 2D (all points will have a Z value of zero). Paths can be open or closed (meaning that the points form an unbroken loop). To create a closed path, the first and last point must have the same position. The following path has four points, but it actually describes a triangle rather than a quadrilateral, because the first and last points are the same: ```swift path { point 0 1 point -1 -1 point 1 -1 point 0 1 } ``` ![Triangle](../images/triangle.png) ## Curves Points are great for defining polygonal shapes, but what about curves? Curves in ShapeScript are typically created using [quadratic Béziers](https://en.wikipedia.org/wiki/Bézier_curve). A quadratic Bézier is defined by two end-points and a control point. The curve passes through the end-points, but does not pass through the control point. Instead, the control point defines the point of intersection for the tangents of the curve as it passes through the end-points. This sounds complicated, but it's quite straightforward to use in practice. To create a smooth curve, use the `point` command to define end points, and the `curve` command to define control points. For example, the following creates a smooth arc: ```swift path { point -1 -1 curve 0 1 point 1 -1 } ``` ![Arc](../images/arc.png) You may notice that this "smooth" arc is not actually very smooth. Just as [3D meshes](meshes.md) are constructed from flat polygons, curves are approximated using straight lines. You can adjust the smoothness of curves in a path using the `detail` command: ```swift path { detail 99 point -1 -1 curve 0 1 point 1 -1 } ``` ![Smooth arc](../images/smooth-arc.png) If multiple `curve` commands (control points) are used in sequence, an end-point will be interpolated at the mid-point between them. This allows you to easily create complex curves such as an "S" shape. You can also create closed paths entirely using `curve` points. Eight `curve` points arranged in an octagon can closely approximate a circle (the ninth point is just a duplicate of the first, to close the path): ```swift path { curve -0.414 1 curve 0.414 1 curve 1 0.414 curve 1 -0.414 curve 0.414 -1 curve -0.414 -1 curve -1 -0.414 curve -1 0.414 curve -0.414 1 } ``` ![Circle](../images/octocircle.png) ## Arcs Arcs created by Bézier curves can approximate a circle, but not perfectly. If you need a precisely circular curve, you can use the `arc` command: ```swift arc { angle 0.5 } ``` The `angle` option defines the angular span of the arc, starting clockwise from the Y axis. The angle is measured in *half-turns* (as explained in the [Transforms](transforms.md#orientation) section) so the `0.5` in the example above produces a quarter circle: ![Quarter Circle](../images/quarter-circle.png) To adjust the starting angle, you can use the [orientation option](transforms.md#orientation) or [rotate command](transforms.md#relative-transforms) as you would for any other shape. The following creates an arc from -45 degrees to +90 degrees: ```swift arc { orientation -0.25 angle 0.75 } ``` Arcs have a default radius of 0.5 units. You can increase or decrease this using the `size` option: ```swift arc { size 2 // radius of 1 unit (0.5 * 2) } ``` Arcs can be used in conjunction with individual path points or other arcs to make more complex shapes. The following creates a slab with curved corners: ```swift extrude path { // left arc arc { angle -0.5 } // bottom-left corner point -0.5 0 // bottom-right corner point 1.5 0 // right arc arc { position 1 0 orientation 0.5 angle -0.5 } // close path with smooth join curve 0 0.5 } ``` ![Curved slab](../images/curved-slab.png) ## Circles If you need a complete circle, there's an even simpler way than using `arc`, which is to use the `circle` command: ```swift circle ``` Like the `sphere` primitive, the `circle` path has a default diameter of 1 unit, and its smoothness is controlled by the current `detail` setting, but these can both be overridden by passing explicit `size` and `detail` options: ```swift circle { size 2 detail 64 } ``` ## Rectangles To create a square or rectangle you can use the `square` command: ```swift square ``` Like `circle`, `square` accepts a `size` option. The following will create a rectangle exactly twice as wide as it is tall: ```swift square { size 2 1 } ``` ![Rectangle](../images/rectangle.png) You can even create a rectangle with rounded corners using the `roundrect` command: ```swift roundrect ``` In addition to `size`, `roundrect` also accepts a `radius` option, which controls the corner radius: ```swift roundrect { size 1 radius 0.25 } ``` ![Roundrect](../images/roundrect.png) ## Regular Polygons When used outside of a `mesh`, the `polygon` command can be used to create a regular polygon. The following creates a pentagon: ```swift polygon { sides 5 } ``` ![Pentagon](../images/pentagon.png) The output for this is similar to using the `circle` command with a specific detail value: ```swift circle { detail 5 } ``` The difference is only apparent if you extrude the result, because in the circle's case the extruded sides are [smoothed](options.md#smoothing) by default, whereas for the polygon they are sharply defined: ```swift extrude polygon { position -1 sides 6 } extrude circle { position 1 detail 6 } ``` ![Polygon vs circle](../images/polygon-vs-circle.png) ## Procedural Paths The `circle` command is fine for creating complete circles, but what if you want a circular arc or semicircle? Calculating the Bézier control points for that manually would be tedious, so this is where the power of ShapeScript's procedural logic comes in handy. To create a path procedurally, you can use a [for loop](control-flow.md#loops) along with [relative transform commands](transforms.md#relative-transforms) such as `rotate`. For example, the following code generates a semicircle: ```swift path { for 0 to 8 { curve 0 1 rotate 1 / 8 } } ``` ![Semicircle](../images/semicircle.png) ## Nested Paths A path can be formed from multiple distinct sub-paths. To add additional sub-paths, you can nest a `path` command inside another one (or any other command that returns a path). The following code creates a path made up of two overlapping circles: ```swift path { circle translate 0.5 scale 0.5 circle } ``` ![Overlapping Circles](../images/overlapping-circles.png) ## Path Colors Paths cannot currently be textured, but they inherit the current [material color](materials.md#color). Color can also be applied to individual points within a path. When neighboring path points have different colors applied, the color will be smoothly interpolated between them, creating a gradient: ```swift path { color red point 0 1 color green point -1 -1 color blue point 1 -1 } ``` ![Path colors](../images/path-colors.png) ## SVG Paths [Scalable Vector Graphics (SVG)](https://en.wikipedia.org/wiki/Scalable_Vector_Graphics) is a popular standard for defining vector graphics. SVG is a fairly complex XML-based format, but a subset of the SVG standard defines a simple text-based [path syntax](https://www.w3.org/TR/SVG11/paths.html#PathData) that uses a series of single-character instructions, each followed by one or more coordinates to define a path. For example, the following SVG path code defines a triangle: ```svg ``` You can use this syntax in ShapeScript by taking just the `d` attribute from the path and passing it to the `svgpath` command, as follows: ```swift fill svgpath "M 100 100 L 300 100 L 200 300 z" ``` You can fill or extrude an `svgpath` and adjust its size, position, etc. as follows: ```swift fill svgpath { size 0.01 position -2 2 "M 100 100 L 300 100 L 200 300 z" } ``` Which produces the following output: ![SVG Triangle](../images/svgpath.png) **Note:** SVG uses a flipped vertical coordinate system relative to that used by ShapeScript. To compensate for this, vertical (Y) coordinates passed to the `svgpath` command are treated as negative. --- [Index](index.md) | Next: [Text](text.md) ShapeScript-1.6.14/docs/src/primitives.md000077500000000000000000000053051450355336000202760ustar00rootroot00000000000000Primitives --- ShapeScript has a number of built-in shapes that you can use to quickly construct a scene. These are known as *primitives*, to distinguish them from more complex custom shapes that you can define using [builders](builders.md) or [CSG](csg.md) operations. ## Cube The `cube` primitive creates a box. You can create a cube just by using the `cube` command, which defines a cube with the default size of one unit: ```swift cube ``` To alter the size of the cube, you can pass a [block](blocks.md) containing a `size` option followed by up to 3 values specifying the individual dimensions of the cube, or a single value to create a cube with equal sides. ```swift cube { size 1 2 } ``` ![Box](../images/box.png) You can also rotate and position the cube using the `orientation` and `position` options, as follows: ```swift cube { size 1 1 2 position 1 0 0 orientation 0.25 } ``` The `size`, `position` and `orientation` options are common to all shapes. For more information about these (and other) options, see the [options](options.md) section. ## Sphere The `sphere` primitive creates a spherical ball. Again, `size` can be used to control the diameter. The following creates a sphere with a diameter of 1 unit (which is the default). ```swift sphere { size 1 } ``` ![Sphere](../images/sphere.png) You may notice that the sphere doesn't look very smooth. As mentioned in the [getting started section](getting-started.md), 3D shapes in ShapeScript are made up of polygons, so curves cannot be represented exactly, only approximated. You can improve the quality of the sphere by using the `detail` option: ```swift sphere { detail 32 size 1 } ``` ![Smoother sphere](../images/smoother-sphere.png) You can also pass multiple parameters to `size` to create a *spheroid*: ```swift sphere { detail 32 size 1 2 3 } ``` ![Spheroid](../images/spheroid.png) ## Cylinder The `cylinder` primitive creates a flat-ended cylinder. ```swift cylinder { size 1 } ``` ![Cylinder](../images/cylinder.png) Like the `sphere` primitive, `cylinder` uses the `detail` command to control its smoothness. If you require a cylinder that is longer or shorter, you can pass a second parameter to the `size` to control the diameter and length independently: ```swift cylinder { detail 64 size 1 2 } ``` ## Cone The `cone` primitive creates a conical shape: ```swift cone { size 1 } ``` ![Cone](../images/cone.png) Like `sphere` and `cylinder`, its smoothness is controlled by the `detail` command, and the diameter and length can be controlled independently by passing additional parameters to `size`: ```swift cone { detail 48 size 1 2 } ``` --- [Index](index.md) | Next: [Options](options.md) ShapeScript-1.6.14/docs/src/scope.md000077500000000000000000000035651450355336000172220ustar00rootroot00000000000000Scope --- ## Block Scope ShapeScript programs are hierarchical, with `{ ... }` braces used to denote the start and end of a block of related options or commands. When you define symbols, the effect is limited to the *scope* of the current block, meaning that once the block exits (i.e. when the closing `}` is reached), and symbols defined inside it are discarded, and symbols whose values were overridden inside the block will revert to the value they had before the block was entered. Block scope is not just limited to symbols; it also affects [materials](materials.md) and [transforms](transforms.md). When you use the `translate`, `rotate` and `scale` commands to modify the world-transform, or use `color` or `texture` to modify the current material, the effect of those changes is limited to the current block. This is convenient, because it means that code that defines subcomponents in your scene can use transforms and materials internally without them "leaking out" and affecting other objects. ## Function Scope When you define a [custom function](functions.md#custom-functions), it also creates a local scope around its body. Like blocks, functions inherit symbols from their parent scope and locally defined symbols will not *leak* out into their parent scope. Unlike blocks, functions can affect the transforms and materials of the scope where they are invoked. ## Conditional Scope Control flow statements like [for loops](control-flow.md#loops) and [if statements](control-flow.md#if-else) also creates a local scope around their body. Like function scope, loop and if/else scope does not apply to transforms or materials, but only to symbols created using the `define` command. Any symbols defined inside a `for` loop will be restricted to the inside of the loop body. This also applies to the optional loop index variable. --- [Index](index.md) | Next: [Debugging](debugging.md) ShapeScript-1.6.14/docs/src/symbols.md000077500000000000000000000052541450355336000175760ustar00rootroot00000000000000Symbols --- A symbol is a named value (sometimes referred to as a *constant*) that can be used in place of a [literal](literals.md) value. ShapeScript includes several built-in symbols such as `detail` (the current level of detail), or `pi` (the mathematical constant used to compute angles), but you can also define your own symbols using the `define` command: ```swift define sides 5 define red 1 0 0 ``` Symbol names consist of a letter followed by zero or more letters, numbers or underscore (`_`) characters. Symbols cannot begin with a number or underscore, and spaces or other punctuation are not allowed. Symbols are case-sensitive, and by convention should begin with a lowercase letter. For multi-word symbols, the recommended convention is to capitalize the first letter of each new word (known as *camelCase* because the capital letters form "humps" in the back of the word): ```swift define numberOfSides 7 ``` The value assigned to a symbol can be a literal or an [expression](expressions.md). Once defined, a symbol can be used anywhere in place of a literal value, such as inside an expression, or as a [command](commands.md) or [function](functions.md) parameter. Symbols can also be used in the definition of other symbols: ```swift define three 3 define two 2 define five three + two ``` Symbols help to make your ShapeScript file more readable by assigning meaningful names to otherwise inscrutable literal values. They also make the script easier to modify and maintain by avoiding duplication of literal values throughout the code. Existing symbols can be redefined by calling `define` again with the same name. If a symbol is defined inside a `{ ... }` block then it will be [scoped](scope.md) to the code inside that block (meaning that it cannot be used after the closing `}`): ```swift for i in 1 to 5 { define foo i // define symbol foo with the current loop index value } // foo is undefined here ``` Symbols can be *shadowed*, meaning that a symbol defined in an outer scope can be redefined inside an inner scope, but the symbol will revert to its original definition when the scope ends. It is currently only possible to create *constants*, you cannot create *variables* (symbols whose value can be changed later): ```swift define foo 1 for i in 1 to 5 { define foo i // redefine foo with the current loop index value } // foo reverts to original value of 1 after loop terminates ``` **Note:** Because of this scoping, it's not possible to conditionally define a value inside an `if` statement and use it outside the `if`. For the correct way to do this, see [conditional defines](control-flow.md#conditional-defines). --- [Index](index.md) | Next: [Expressions](expressions.md) ShapeScript-1.6.14/docs/src/text.md000066400000000000000000000163231450355336000170660ustar00rootroot00000000000000Text --- The `text` command can be used to generate individual words, lines, or whole paragraphs of text. You use the `text` command as follows: ```swift text "Hello, World!" ``` To create multiline text you can use the `\n` line-break sequence: ```swift text "The quick brown fox\njumps over the lazy dog" ``` Or place each line of text on its own line within the file, surrounded by quotes: ```swift text { "The quick brown fox" "jumps over the lazy dog" } ``` The output of the `text` command is a series of [paths](paths.md), one for each character or *glyph* in the text: ![Text](../images/text.png) You can use the `fill` or `extrude` commands to turn these paths into a solid mesh (see [builders](builders.md) for details): ![Solid Text](../images/solid-text.png) ## Interpolation For your convenience, the text command will automatically convert numeric values to their character representation. The following displays the numbers 1 to 5 as 3D text: ```swift for i in 1 to 5 { extrude text i translate 1 } ``` ![Numbers](../images/numbers.png) You may find that in some cases you need to compose some text dynamically from several source values. ShapeScript has a feature called [string interpolation](https://en.wikipedia.org/wiki/String_interpolation), whereby values can be inserted into a larger body of text. To use string interpolation, simply pass multiple values to the `text` command and they will be concatenated together: ```swift define apples 5 define pears 3 text "Bob has " apples " apples, and " pears " pears" ``` Text values are concatenated without spaces, so if you require spaces you should include them explicitly inside quotes: ```swift text "Good" "bye" // becomes "Goodbye" text "Hello " "World" "!" // becomes "Hello World!" ``` For your convenience, non-text values will be spaced-out automatically. If you wish to remove the spaces, you can place an empty string literal between them: ```swift text 1 2 3 // becomes "1 2 3" text 1 "" 2 "" 3 // becomes "123" ``` **Note:** Spaces *between* values make no difference to the output, so feel free to space them as you wish. These are all equivalent: ```swift text "We're number "1"!" text "We're number " 1"!" text "We're number " 1 "!" text "We're number " 1 "!" ``` ## Wrap Width By default, text is laid out on a single line unless you explicitly add line-breaks, either by splitting the text into multiple literals or by adding `\n` escape sequences. But by using the `wrapwidth` option, you can force text to wrap automatically to fit a specified width. This is useful when working with programatically generated text, where it may be cumbersome to have to add logic to insert linebreaks at the right point. ```swift text { wrapwidth 3 "Hello, World!" } ``` ![Wrapped text](../images/text-wrap.png) **Note:** `wrapwidth` is specified in world units, not characters. ## Size and Line Height By default, text has a line height of one world unit. The line height is not the height of the actual characters, but the distance between two consecutive lines of text. If you imagine some lined writing paper, the line height would be the distance between the lines. To adjust the text size, you can use the [size](transforms.md#size) option: ```swift text { size 2 // increase text size by 200% "Hello, World!" } ``` The size in this case actually refers to the line height, so setting a size of 2 increases the line height to 2 (and increases the actual size and spacing of the characters in proportion to this height). You can resize the text non-uniformly by passing separate width and height values for the size: ```swift text { size 2 1.5 // set width to 200% and height to 150% "Hello, World!" } ``` Alternatively, for extruded text, you can set the size in the shape block instead, which allows you to also set the depth at the same time: ```swift extrude { size 2 2 0.5 // 200% sized text, with 50% depth text "Hello, World!" } ``` ## Line Spacing By default, text has a line spacing of zero, meaning that consecutive lines of text with size 1 will be spaced exactly one unit apart, with no extra padding. You can increase or decrease this line spacing using the `linespacing` property. A value of 0.5 will add an additional space of 0.5 world units between consecutive lines: ```swift text { linespacing 0.5 "Hello," "World!" } ``` ![+50% Line spacing](../images/linespacing-increased.png) A value of -0.5 will reduce the spacing by 0.5 (causing the lines to overlap by 0.5 units): ```swift text { linespacing -0.5 "Hello," "World!" } ``` ![+50% Line spacing](../images/linespacing-decreased.png) ## Position and Orientation To adjust the text position and orientation, use the [position](transforms.md#position) and [orientation](transforms.md#orientation) commands: ```swift text { position 2 1 // move text 2 units to the right and 1 unit up orientation 0.5 // rotate by 90 degrees "Hello World" } ``` Or for filled or extruded text, you can set these on the containing shape block instead: ```swift fill { position 1 2 3 // set the position in 3D space orientation 0 0.25 0 // rotate around the Y axis text "Hello World" } ``` Unlike most shapes, which are positioned relative to their center, text is positioned relative to its left margin and baseline. ![Default text alignment](../images/text-default.png) In order to center a piece of text, you will need to know its actual dimensions. For this you can use the [bounds](bounds.md) member property. The following code uses the bounds to center some text: ```swift define hello text "Hello" translate -hello.bounds.width/2 -hello.bounds.height/2 fill hello ``` ![Centered text](../images/text-centered.png) ## Font To adjust the text font, you can use the `font` command. like `color` and other [material](materials.md) properties, `font` can be placed either inside the `text` block, or anywhere before it in the same scope: ```swift font "Zapfino" fill text "Hello World" ``` ![Text with font](../images/text-font.png) **Note:** Some fonts are inherently much more detailed than others, and may take a considerable time to generate. You may want to set the [detail](options.md#detail) option to a lower value for text than you would for other geometry. The font name you provide must match a font that is already installed on your system. If no matching fonts are found then an error will be raised. If you wish to load a font file directly, without installing it, you can pass the filename or path to the `font` command instead of the font name: ```swift font "filename.ttf" ``` Only fonts with a ".ttf", ".otf" or ".ttc" file extension are supported. The extension is required, or the `font` parameter will be treated as a system font rather than a file. If a relative path or filename is used, it should be specified relative to the ShapeScript file that references it. The filename can be constructed dynamically by using the [string interpolation](text.md#interpolation) feature, which is sometimes useful if, for example, you have multiple font files with a common prefix or suffix: ```swift for n in 1 to 5 { texture "font" n ".ttf" text "Hello, World!" translate 0 -1 0 } ``` --- [Index](index.md) | Next: [Builders](builders.md) ShapeScript-1.6.14/docs/src/transforms.md000077500000000000000000000147101450355336000203010ustar00rootroot00000000000000Transforms --- Every shape has a position, orientation and size. These can be set in *absolute* units by using the `position`, `orientation` and `size` options, or in *relative* units using the `translate`, `rotate` and `scale` commands (see [relative transforms](#relative-transforms) below). ## Position When you define a shape in ShapeScript, it is created at the *point of origin*. By default, this is the zero position of the X, Y and Z axes within the current [scope](scope.md), but this can be overridden using the `position` option. The `position` option accepts a [vector](literals.md#vectors-and-tuples) of up to 3 values representing a coordinate along the X Y and Z axes. If values are omitted they are assumed to be zero. The default `position` of every shape is `0 0 0`, which is located at the *origin*, aka the center of the world. Positive `position` values move the shape right, up, and towards the camera respectively. Negative values move it left, down and away from the camera: ```swift cube { position 0 0 5 // moves the cube 5 units towards the camera } ``` Positions are applied hierarchically. For shapes located at the root of the ShapeScript file, their `position` is relative to the world origin, however you can nests shapes inside [groups](groups.md), in which case the `position` of the child shapes will be measured relative to the `position` of their containing group. ## Orientation The `orientation` option defines the rotation for the shape using three parameters called `roll`, `yaw` and `pitch`. The `roll` value represents a rotation around the Z axis, the `yaw` is rotation around the Y axis, and the `pitch` is a rotation around the X axis: ```swift cube { orientation 0 0.25 0 // rotates the cube 45 degrees around the Y axis } ``` The ordering of these three parameters may seem counterintuitive (Z, Y, X), but it makes sense in the context that when working with 2D [paths](paths.md), you often wish to apply a rotation only around the Z axis (in the XY plane), and by having that as the first parameter, you can simply omit the other values, which will default to zero. Angles of rotation are specified as numbers in the range 0 to 2 (or 0 to -2 if you prefer), representing the number of [half-turns](https://en.wikipedia.org/wiki/Turn_(angle)). This again may seem odd if you were expecting degrees or radians, but using this range works better mathematically, as you avoid the need to multiply or divide computed rotation values by [pi](https://en.wikipedia.org/wiki/Pi) or 180, and it's easier to mentally convert 90 degrees to 0.5 than to 1.5707963268 (see the [trigonometry section](functions.md#trigonometry) for more about converting between angular representations). While it is relatively simple to use the `orientation` property to specify a rotation around a single axis, it can be awkward to apply a rotation around multiple axes at once due to the fixed order. If you need to do that, you may find it simpler to use the `rotate` command instead (described [below](#relative-transforms)), which can be applied multiple times in any order. ## Size The `size` option applies a scaling factor to all subsequent geometry. A scale factor of `0.5 0.5 0.5` for example, would halve the size of all subsequent shapes, as well as halving the offset applied by subsequent `translate` commands. Like the `position` and `orientation` commands, `size` allows you to omit one or two parameters, however unlike the other commands, omitted parameters are assumed to be equal to the first value given. So `size 0.5` is equivalent to `size 0.5 0.5 0.5`. It it possible to apply a negative scale factor, which has the effect of flipping the geometry. For example, `size 1 -1 1` would flip all subsequent shapes upside-down along the Y axis. This does not always work as intended however, and may produce odd side-effects such as turning shapes inside-out. In general it is better to stick to positive `size` values, and use `orientation` if you need to flip a shape around. ## Relative Transforms When defining paths or shapes procedurally using [loops](control-flow.md#loops) or other logic, you will often wish to position shapes or points using *relative* coordinates, rather than absolutely. You can do this using the `translate`, `rotate` and `scale` commands, which are counterparts to the `position`, `orientation` and `size` options. Translation is the mathematical term for directional movement. Like `position`, `translate` takes up to 3 values representing offsets along the X Y and Z axes. Unlike `position`, the values do not specify the position of the containing shape, but rather they move the *origin* of the current [scope](scope.md), affecting all subsequently defined shapes. The two following examples are therefore equivalent: ```swift cube { position 1 0 0 } ``` ```swift translate 1 0 0 cube ``` In both cases, the cube is moved one unit to the right. But whereas in the first example the cube itself has been moved, in the second example, the *world* has been moved. This distinction doesn't matter much until you create another shape. In the first example, the effect of setting the `position` is limited to the cube itself, and subsequent shapes will be unaffected. However in the second example, all subsequent shapes will also be shifted by one unit to the right. You can prevent this by using another `translate` to move the origin back to its original position: ```swift translate 1 0 0 cube // located at 1 0 0 translate -1 0 0 sphere // located at 0 0 0 ``` Just as the `translate` command moves the origin, the `rotate` command rotates it, and the `scale` command increases or decreases the scale factor. These are equivalent: ```swift cube { size 2 orientation 0.25 } ``` ```swift scale 2 rotate 0.25 cube ``` And as with `translate`, in the second case the rotation and scale will be permanently altered for all future shapes, so to reset them you would need to apply the inverse transforms: ```swift scale 2 rotate 0.25 cube rotate -0.25 scale 0.5 ``` As mentioned in the [orientation](#orientation) section above, an advantage of the `rotate` command is that it allows you to apply rotations in any order. For example the following code applies a pitch of 45 degrees followed by a roll of 80 degrees, which would be very difficult to express as a single `rotate` or `orientation` instruction due to the fixed roll-yaw-pitch order: ```swift rotate 0 0 0.25 // pitch 45 degrees rotate 0.4 0 0 // roll 80 degrees cube ``` --- [Index](index.md) | Next: [Bounds](bounds.md) ShapeScript-1.6.14/images/000077500000000000000000000000001450355336000153015ustar00rootroot00000000000000ShapeScript-1.6.14/images/Screenshot.jpg000066400000000000000000013015641450355336000201320ustar00rootroot00000000000000PNG  IHDR-PLTE[}epmctX|L?6-!zvs n tqn j󠟠J]{Cxp@~ō``}ȩLE!Ż3rf:xfEyg@^C~9|hlWD~MG~y:|ZFzRE~GHAI1=y9.(=k4lFg+QBG?@rT=v{-/IDATxԝ wزǐqHA- Nb 3_l+ΰnUY%۝tEژ֟]dR948LS~8YTCo+Zԍn+രi٤&M29roKʵw72%2r%KNԼ[{L7\0-Ju6,Q~rTTQm.YI,"$eW_$oeQq+cr ޢ86$XP!y#2%GAKI-x z0vMA!?Q"n-SR;;eR7-j 5xTyg4%/!i *$ YYF$Ǒi J03 yHc%Ee֞5MJ@]X>+`!2hIƓ_,~#/_I2GɶEt~"t >S7 ,# wcu8edJ4AN#*CCoI}#uc jHaW̍xK!fRndQì 4Ҍ!^]мqf< ydj`sF)S?\5[= .ncns3Uw;jZ$a+] XAތ<&K@oLn d8@6yVz|3 %' 9,j:S&/r\1Ed| aGao`aD>bWwR˩g bϐ 2J2R됩앇XނD,nܴz29 \8v&]).^;EԈq,'Caoc/n ù6F%!U, kPYI(HW-3(ZǑ:V$n3fS*647d]Rz$hLЈ]VD)!-P@6CfDr6rJę'GF c>? 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