Created
October 22, 2010 17:17
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| function Point(x, y) { | |
| this.x = x; | |
| this.y = y; | |
| } | |
| function Figure(position) { | |
| this.position = position; | |
| } | |
| function Line(position, endPosition) { | |
| Figure.call(this, position); | |
| this.endPosition = endPosition; | |
| this.name = "Line"; | |
| this.square = function() { | |
| return 0; | |
| } | |
| } | |
| Line.prototype = new Figure; | |
| function Rectangle(position, endPosition) { | |
| Line.call(this, position, endPosition); | |
| this.name = "Rectangle" | |
| this.square = function() { | |
| return (this.endPosition.x - this.position.x) * | |
| (this.endPosition.y - this.position.y); | |
| } | |
| } | |
| Rectangle.prototype = new Line; | |
| function Circle(position, radius) { | |
| Figure.call(this, position); | |
| this.radius = radius; | |
| this.name = "Circle"; | |
| this.square = function() { | |
| return Math.PI * this.radius * this.radius; | |
| } | |
| } | |
| Circle.prototype = new Figure; | |
| var Intersection = (function() { | |
| function LineAndLine(a, b) { | |
| var x1 = a.position.x, y1 = a.position.y, | |
| x2 = a.endPosition.x, y2 = a.endPosition.y, | |
| x3 = b.position.x, y3 = b.position.y, | |
| x4 = b.endPosition.x, y4 = b.endPosition.y; | |
| var result = new Point; | |
| result.x = ((x1*y2 - y1*x2)*(x3 - x4) - (x1 - x2)*(x3*y4 - y3*x4)) / | |
| ((x1 - x2)*(y3 - y4) - (y1 - y2)*(x3 - x4)); | |
| result.y = ((x1*y2 - y1*x2)*(y3 - y4) - (y1 - y2)*(x3*y4 - y3*x4)) / | |
| ((x1 - x2)*(y3 - y4) - (y1 - y2)*(x3 - x4)); | |
| return isNaN(result.x) || | |
| Math.abs(result.x) != Infinity && | |
| Math.abs(result.y) != Infinity && | |
| result.x >= Math.min(x1, x2) && | |
| result.x >= Math.min(x3, x4) && | |
| result.y >= Math.min(y1, y2) && | |
| result.y >= Math.min(y3, y4) && | |
| result.x <= Math.max(x1, x2) && | |
| result.x <= Math.max(x3, x4) && | |
| result.y <= Math.max(y1, y2) && | |
| result.y <= Math.max(y3, y4); | |
| } | |
| function convertRectangleToLines(rect) { | |
| var topLeft = new Point(rect.position.x, rect.endPosition.y), | |
| bottomRight = new Point(rect.endPosition.x, rect.position.y); | |
| return [new Line(rect.position, topLeft), | |
| new Line(topLeft, rect.endPosition), | |
| new Line(rect.endPosition, bottomRight), | |
| new Line(bottomRight, rect.position)]; | |
| } | |
| function LineAndRectangle(a, b) { | |
| var lines = convertRectangleToLines(b); | |
| for (var i in lines) if (LineAndLine(a, lines[i])) return true; | |
| return false; | |
| } | |
| function RectangleAndRectangle(a, b) { | |
| var linesA = convertRectangleToLines(a), | |
| linesB = convertRectangleToLines(b); | |
| for (var i in linesA) for (var j in linesB) if (LineAndLine(linesA[i], linesB[j])) return true; | |
| return false; | |
| } | |
| function LineAndCircle(a, b) { | |
| var x1 = a.position.x + b.position.x, | |
| y1 = a.position.y + b.position.y; | |
| x2 = a.endPosition.x + b.position.x; | |
| y2 = a.endPosition.y + b.position.y; | |
| var dr = Math.sqrt(Math.abs((x2 - x1)*(x2 - x1)) + Math.abs((y2 - y1)*(y2 - y1))), | |
| D = x1*y2 - x2*y1; | |
| return b.radius*b.radius*dr*dr - D*D >= 0; | |
| } | |
| function CircleAndRectangle(a, b) { | |
| var lines = convertRectangleToLines(b); | |
| for (var i in lines) if (LineAndCircle(lines[i], a)) return true; | |
| return false; | |
| } | |
| function CircleAndCircle(a, b) { | |
| var d = Math.sqrt(Math.pow(a.position.x - b.position.x, 2) + | |
| Math.pow(a.position.y - b.position.y, 2)); | |
| return d <= a.radius + b.radius && d >= Math.abs(a.radius - b.radius); | |
| } | |
| return { | |
| doIntersect: function(a, b) { | |
| if (!(a instanceof Figure && b instanceof Figure)) { | |
| return false; | |
| } | |
| return a.name.length < b.name.length ? | |
| eval(composeFunction(a, b, "(a, b)")) : | |
| eval(composeFunction(b, a, "(b, a)")); | |
| } | |
| } | |
| function composeFunction(a, b, args) { | |
| return a.name + "And" + b.name + args; | |
| } | |
| })(); |
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| <!DOCTYPE HTML> | |
| <html> | |
| <head> | |
| <meta charset="UTF-8"> | |
| <title>Figures</title> | |
| <script type="text/javascript" src="figures.js"></script> | |
| <script type="text/javascript"> | |
| var line = new Line(new Point(0, 0), new Point(2, 2)); | |
| var line1 = new Line(new Point(2, 0), new Point(1, 10)); | |
| var rectangle = new Rectangle(new Point(1, 1), new Point(4, 3)); | |
| var rectangle1 = new Rectangle(new Point(10, 10), new Point(20, 20)); | |
| var circle = new Circle(new Point(2, 2), 3); | |
| var circle1 = new Circle(new Point(0, 0), 1); | |
| document.write(Intersection.doIntersect(line, line1)); | |
| </script> | |
| </head> | |
| <body> | |
| </body> | |
| </html> |
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