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Update Euclid to 0.8.12
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‎Euclid/CHANGELOG.md‎

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# Change Log
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## [0.8.12](https://github.com/nicklockwood/Euclid/releases/tag/0.8.12) (2025-10-25)
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- Fixed crash when creating a path from empty subpaths
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- Fixed `Mesh.minkowskiSum()` output for off-center input meshes
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- Improved `Mesh.detesselate()` algorithm (now merges more polygons than before)
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- The `Path.closed()` method and `Path.isClosed` property now behave correctly for subpaths
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- Improved subpaths implementation (more reliably preserves distinct subpaths)
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- Fixed assertion in `Plane.init` for very small or degenerate triangles
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- Fixed assertion in internal `Polygon.insertPoint()` method
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- Fixed assertion in internal `detessellate()` method
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- Fixed bug with internal `sanitizePoints()` method introducing neighboring duplicate points
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- Deprecated optional cancellation handlers in `Path.clipped()` and `Polygon.clipped()`
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- Added optional `color` parameter to `Path.text()` constructor
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## [0.8.11](https://github.com/nicklockwood/Euclid/releases/tag/0.8.11) (2025-10-12)
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- Fix regression in `Mesh.loft()` method when one or more input paths has a single point
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- Fixed regression in `Mesh.loft()` method when one or more input paths has a single point
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- Made more long-running Mesh shape operations cancellable
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## [0.8.10](https://github.com/nicklockwood/Euclid/releases/tag/0.8.10) (2025-10-05)

‎Euclid/Euclid.docc/Extensions/Path.md‎

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### Creating Text Paths
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- ``Path/text(_:font:width:detail:)``
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- ``Path/text(_:font:width:detail:color:)``
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- ``Path/text(_:width:detail:)``
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### Path Properties

‎Euclid/Euclid.podspec.json‎

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{
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"name": "Euclid",
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"version": "0.8.11",
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"version": "0.8.12",
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"license": {
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"type": "MIT",
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"file": "LICENSE.md"
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"authors": "Nick Lockwood",
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"source": {
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"git": "https://github.com/nicklockwood/Euclid.git",
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"tag": "0.8.11"
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"tag": "0.8.12"
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},
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"source_files": "Sources",
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"requires_arc": true,

‎Euclid/Euclid.xcodeproj/project.pbxproj‎

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"@executable_path/../Frameworks",
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"@loader_path/Frameworks",
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);
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MARKETING_VERSION = 0.8.11;
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MARKETING_VERSION = 0.8.12;
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MODULE_VERIFIER_SUPPORTED_LANGUAGES = "objective-c objective-c++";
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MODULE_VERIFIER_SUPPORTED_LANGUAGE_STANDARDS = "gnu11 gnu++14";
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OTHER_SWIFT_FLAGS = "-Xfrontend -warn-long-expression-type-checking=75";
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"@executable_path/../Frameworks",
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"@loader_path/Frameworks",
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);
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MARKETING_VERSION = 0.8.11;
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MARKETING_VERSION = 0.8.12;
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MODULE_VERIFIER_SUPPORTED_LANGUAGES = "objective-c objective-c++";
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MODULE_VERIFIER_SUPPORTED_LANGUAGE_STANDARDS = "gnu11 gnu++14";
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OTHER_SWIFT_FLAGS = "-Xfrontend -warn-long-expression-type-checking=75";
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"$(inherited)",
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"@executable_path/Frameworks",
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);
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MARKETING_VERSION = 0.8.11;
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MARKETING_VERSION = 0.8.12;
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PRODUCT_BUNDLE_IDENTIFIER = com.charcoaldesign.EuclidExample;
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PRODUCT_NAME = EuclidExample;
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SDKROOT = iphoneos;
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"$(inherited)",
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);
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MARKETING_VERSION = 0.8.11;
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PRODUCT_BUNDLE_IDENTIFIER = com.charcoaldesign.EuclidExample;
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PRODUCT_NAME = EuclidExample;
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SDKROOT = iphoneos;
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IPHONEOS_DEPLOYMENT_TARGET = 13.0;
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LOCALIZATION_PREFERS_STRING_CATALOGS = YES;
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MACOSX_DEPLOYMENT_TARGET = 10.14;
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MARKETING_VERSION = 0.8.11;
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MARKETING_VERSION = 0.8.12;
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PRODUCT_BUNDLE_IDENTIFIER = com.charcoaldesign.PerformanceTests;
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PRODUCT_NAME = "$(TARGET_NAME)";
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SDKROOT = auto;
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IPHONEOS_DEPLOYMENT_TARGET = 13.0;
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LOCALIZATION_PREFERS_STRING_CATALOGS = YES;
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MACOSX_DEPLOYMENT_TARGET = 10.14;
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MARKETING_VERSION = 0.8.11;
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MARKETING_VERSION = 0.8.12;
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PRODUCT_BUNDLE_IDENTIFIER = com.charcoaldesign.PerformanceTests;
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PRODUCT_NAME = "$(TARGET_NAME)";
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SDKROOT = auto;

‎Euclid/Euclid.xcodeproj/xcshareddata/xcbaselines/01F995E62E6455BD0017AAC8.xcbaseline/8C068051-1BA5-4790-A538-AF1EC8F13366.plist‎

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<key>com.apple.XCTPerformanceMetric_WallClockTime</key>
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<dict>
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<key>baselineAverage</key>
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<real>1.296356</real>
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<real>1.300000</real>
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<key>baselineIntegrationDisplayName</key>
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<string>Local Baseline</string>
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</dict>
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<key>com.apple.XCTPerformanceMetric_WallClockTime</key>
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<dict>
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<key>baselineAverage</key>
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<real>0.342785</real>
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<real>0.343000</real>
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<key>baselineIntegrationDisplayName</key>
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<string>Local Baseline</string>
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</dict>

‎Euclid/Euclid.xcodeproj/xcshareddata/xcschemes/Euclid.xcscheme‎

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buildArchitectures = "Automatic">
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buildForTesting = "YES"
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BlueprintName = "Euclid"
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ReferencedContainer = "container:Euclid.xcodeproj">
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selectedDebuggerIdentifier = "Xcode.DebuggerFoundation.Debugger.LLDB"
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selectedLauncherIdentifier = "Xcode.DebuggerFoundation.Launcher.LLDB"
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launchStyle = "0"
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buildConfiguration = "Release"

‎Euclid/Euclid.xcodeproj/xcshareddata/xcschemes/Example.xcscheme‎

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buildForTesting = "YES"
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buildForArchiving = "YES"
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buildForAnalyzing = "YES">
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BuildableIdentifier = "primary"
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BuildableName = "EuclidExample.app"
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‎Euclid/Euclid.xcodeproj/xcshareddata/xcschemes/PerformanceTests.xcscheme‎

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‎Euclid/README.md‎

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To install Euclid using CocoaPods, add the following to your Podfile:
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```ruby
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pod 'Euclid', '~> 0.8.11'
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pod 'Euclid', '~> 0.8.12'
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```
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To install using Carthage, add this to your Cartfile:
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```ogdl
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github "nicklockwood/Euclid" ~> 0.8.11
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github "nicklockwood/Euclid" ~> 0.8.12
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```
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To install using Swift Package Manager, add this to the `dependencies:` section in your Package.swift file:
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```swift
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.package(url: "https://github.com/nicklockwood/Euclid.git", .upToNextMinor(from: "0.8.11")),
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.package(url: "https://github.com/nicklockwood/Euclid.git", .upToNextMinor(from: "0.8.12")),
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```
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‎Euclid/Sources/BSP.swift‎

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batch(polygons, stride: 50) { polygons in
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return clip(polygons.withID(0), keeping, &out, &id, isCancelled)
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}
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}
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let lhs = clip(polygons.withID(0), left, &rhs, &id, isCancelled)
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switch (left, right) {
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case (.lessThan, .greaterThan),
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(.greaterThan, .lessThan):

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