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| 1 | +/** |
| 2 | + * Created by Vatsal Gosaliya on 15-Jul-16. |
| 3 | + * |
| 4 | + * PROBLEM: Given are two rectangles defined over the 2-D cartesian coordinate system. |
| 5 | + * Each rectangle is expressed using the top-left corner, width and height. |
| 6 | + * The aim is to detect whether they overlap, and compute the overlapping |
| 7 | + * area, if they do. |
| 8 | + */ |
| 9 | + |
| 10 | +class OverlappingRectangles { |
| 11 | + private double x,y,width,height; |
| 12 | + |
| 13 | + OverlappingRectangles(double x, double y, double width, double height){ |
| 14 | + this.x = x; |
| 15 | + this.y = y; |
| 16 | + this.width = width; |
| 17 | + this.height = height; |
| 18 | + } |
| 19 | + |
| 20 | + OverlappingRectangles intersection(OverlappingRectangles rect2) { |
| 21 | + double newX = Math.max(this.x, rect2.x); |
| 22 | + double newY = Math.min(this.y, rect2.y); |
| 23 | + //System.out.println("newX = "+newX); |
| 24 | + //System.out.println("newY = "+newY); |
| 25 | + |
| 26 | + double newWidth = Math.min(this.x + this.width, rect2.x + rect2.width) - newX; |
| 27 | + double newHeight = newY - Math.max(this.y - this.height, rect2.y - rect2.height); |
| 28 | + //System.out.println("newWidth = "+newWidth); |
| 29 | + //System.out.println("newHeight = "+newHeight); |
| 30 | + |
| 31 | + if (newWidth <= 0d || newHeight <= 0d){ |
| 32 | + System.out.print("No intersection."); |
| 33 | + return null; |
| 34 | + } |
| 35 | + |
| 36 | + return new OverlappingRectangles(newX, newY, newWidth, newHeight); |
| 37 | + } |
| 38 | + |
| 39 | + |
| 40 | + public double getArea(){ |
| 41 | + return this.width*this.height; |
| 42 | + } |
| 43 | + |
| 44 | + public static void main(String args[]){ |
| 45 | + OverlappingRectangles r1 = new OverlappingRectangles(2,8,3,4); |
| 46 | + OverlappingRectangles r2 = new OverlappingRectangles(1,7,6,2); |
| 47 | + OverlappingRectangles r = r1.intersection(r2); |
| 48 | + double areaOfIntersection = r == null ? 0 : r.getArea(); |
| 49 | + System.out.print("Area of intersection : "+areaOfIntersection); |
| 50 | + } |
| 51 | +} |
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