defineSuite([ 'Core/CatmullRomSpline', 'Core/Cartesian3', 'Core/HermiteSpline', 'Core/Math' ], function( CatmullRomSpline, Cartesian3, HermiteSpline, CesiumMath) { 'use strict'; var points; var times; beforeEach(function() { points = [ new Cartesian3(-1.0, -1.0, 0.0), new Cartesian3(-0.5, -0.125, 0.0), new Cartesian3(0.5, 0.125, 0.0), new Cartesian3(1.0, 1.0, 0.0) ]; times = [0.0, 1.0, 2.0, 3.0]; }); it('constructor throws without points or times', function() { expect(function() { return new CatmullRomSpline(); }).toThrowDeveloperError(); }); it('constructor throws when control points length is less than 2', function() { expect(function() { return new CatmullRomSpline({ points : [Cartesian3.ZERO] }); }).toThrowDeveloperError(); }); it('constructor throws when times.length is not equal to points.length', function() { expect(function() { return new CatmullRomSpline({ points : points, times : [0.0, 1.0] }); }).toThrowDeveloperError(); }); it('sets start and end tangents', function() { var start = Cartesian3.subtract(points[1], points[0], new Cartesian3()); var end = Cartesian3.subtract(points[points.length - 1], points[points.length - 2], new Cartesian3()); var crs = new CatmullRomSpline({ points : points, times : times, firstTangent : start, lastTangent : end }); expect(start).toEqual(crs.firstTangent); expect(end).toEqual(crs.lastTangent); }); it('computes start and end tangents', function() { var controlPoint0 = Cartesian3.clone(points[0]); var controlPoint1 = Cartesian3.clone(points[1]); var controlPoint2 = Cartesian3.clone(points[2]); var start = new Cartesian3(); start = Cartesian3.multiplyByScalar(Cartesian3.subtract(Cartesian3.subtract(Cartesian3.multiplyByScalar(controlPoint1, 2.0, start), controlPoint2, start), controlPoint0, start), 0.5, start); var controlPointn0 = Cartesian3.clone(points[points.length - 1]); var controlPointn1 = Cartesian3.clone(points[points.length - 2]); var controlPointn2 = Cartesian3.clone(points[points.length - 3]); var end = new Cartesian3(); end = Cartesian3.multiplyByScalar(Cartesian3.add(Cartesian3.subtract(controlPointn0, Cartesian3.multiplyByScalar(controlPointn1, 2.0, end), end), controlPointn2, end), 0.5, end); var crs = new CatmullRomSpline({ points : points, times : times }); expect(start).toEqual(crs.firstTangent); expect(end).toEqual(crs.lastTangent); }); it('evaluate throws without time', function() { var crs = new CatmullRomSpline({ points : points, times : times }); expect(function() { crs.evaluate(); }).toThrowDeveloperError(); }); it('evaluate throws when time is out of range', function() { var crs = new CatmullRomSpline({ points : points, times : times }); expect(function() { crs.evaluate(times[0] - 1.0); }).toThrowDeveloperError(); }); it('check Catmull-Rom spline against a Hermite spline', function() { var crs = new CatmullRomSpline({ points : points, times : times }); var tangents = [crs.firstTangent]; for ( var i = 1; i < points.length - 1; ++i) { tangents.push(Cartesian3.multiplyByScalar(Cartesian3.subtract(points[i + 1], points[i - 1], new Cartesian3()), 0.5, new Cartesian3())); } tangents.push(crs.lastTangent); var hs = HermiteSpline.createC1({ points : points, tangents : tangents, times : times }); var granularity = 0.5; for ( var j = times[0]; j <= times[points.length - 1]; j = j + granularity) { expect(hs.evaluate(j)).toEqualEpsilon(crs.evaluate(j), CesiumMath.EPSILON4); } }); it('evaluate with result parameter', function() { var crs = new CatmullRomSpline({ points : points, times : times }); var result = new Cartesian3(); var point = crs.evaluate(times[0], result); expect(point).toBe(result); expect(result).toEqual(points[0]); }); it('spline with 2 control points defaults to lerp', function() { points = points.slice(0, 2); times = times.slice(0, 2); var crs = new CatmullRomSpline({ points : points, times : times }); var t = (times[0] + times[1]) * 0.5; expect(crs.evaluate(t)).toEqual(Cartesian3.lerp(points[0], points[1], t, new Cartesian3())); }); it('spline with 2 control points defaults to lerp and result parameter', function() { points = points.slice(0, 2); times = times.slice(0, 2); var crs = new CatmullRomSpline({ points : points, times : times }); var t = (times[0] + times[1]) * 0.5; var result = new Cartesian3(); var actual = crs.evaluate(t, result); expect(actual).toBe(result); expect(actual).toEqual(Cartesian3.lerp(points[0], points[1], t, new Cartesian3())); }); });