/** * @author moraxy / https://github.com/moraxy */ QUnit.module( "CubicBezierCurve3", { before: function () { // modified from the docs this.curve = new THREE.CubicBezierCurve3( new THREE.Vector3( - 10, 0, 2 ), new THREE.Vector3( - 5, 15, 4 ), new THREE.Vector3( 20, 15, - 5 ), new THREE.Vector3( 10, 0, 10 ) ); } } ); QUnit.test( "Simple curve", function ( assert ) { var curve = this.curve; var expectedPoints = [ new THREE.Vector3( - 10, 0, 2 ), new THREE.Vector3( - 3.359375, 8.4375, 1.984375 ), new THREE.Vector3( 5.625, 11.25, 1.125 ), new THREE.Vector3( 11.796875, 8.4375, 2.703125 ), new THREE.Vector3( 10, 0, 10 ) ]; var points = curve.getPoints( expectedPoints.length - 1 ); assert.strictEqual( points.length, expectedPoints.length, "Correct number of points" ); assert.deepEqual( points, expectedPoints, "Correct points calculated" ); // symmetry var curveRev = new THREE.CubicBezierCurve3( curve.v3, curve.v2, curve.v1, curve.v0 ); points = curveRev.getPoints( expectedPoints.length - 1 ); assert.strictEqual( points.length, expectedPoints.length, "Reversed: Correct number of points" ); assert.deepEqual( points, expectedPoints.reverse(), "Reversed: Correct points curve" ); } ); QUnit.test( "getLength/getLengths", function ( assert ) { var curve = this.curve; var length = curve.getLength(); var expectedLength = 39.58103024989427; assert.numEqual( length, expectedLength, "Correct length of curve" ); var expectedLengths = [ 0, 10.73729718231036, 20.19074500737662, 27.154413277853756, 38.453287150114214 ]; var lengths = curve.getLengths( expectedLengths.length - 1 ); assert.strictEqual( lengths.length, expectedLengths.length, "Correct number of segments" ); lengths.forEach( function ( segment, i ) { assert.numEqual( segment, expectedLengths[ i ], "segment[" + i + "] correct" ); } ); } ); QUnit.test( "getPointAt", function ( assert ) { var curve = this.curve; var expectedPoints = [ new THREE.Vector3( - 10, 0, 2 ), new THREE.Vector3( - 2.591880240484318, 8.908333501170798, 1.8953420625251136 ), new THREE.Vector3( 4.866251460832755, 11.22787914038507, 1.150832855206874 ), new THREE.Vector3( 10, 0, 10 ) ]; var points = [ curve.getPointAt( 0 ), curve.getPointAt( 0.3 ), curve.getPointAt( 0.5 ), curve.getPointAt( 1 ) ]; assert.deepEqual( points, expectedPoints, "Correct points" ); } ); QUnit.test( "getTangent/getTangentAt", function ( assert ) { var curve = this.curve; var expectedTangents = [ new THREE.Vector3( 0.3138715439944244, 0.9411440474105875, 0.12542940601858074 ), new THREE.Vector3( 0.8351825262580098, 0.54174002562179, - 0.09480449605683638 ), new THREE.Vector3( 0.9997531780538501, 0, - 0.02221672728433752 ), new THREE.Vector3( 0.40693407933981185, - 0.7512629496079668, 0.5196235518317053 ), new THREE.Vector3( - 0.42632467075185815, - 0.6396469221230213, 0.6396085444448543 ) ]; var tangents = [ curve.getTangent( 0 ), curve.getTangent( 0.25 ), curve.getTangent( 0.5 ), curve.getTangent( 0.75 ), curve.getTangent( 1 ) ]; expectedTangents.forEach( function ( exp, i ) { var tangent = tangents[ i ]; assert.numEqual( tangent.x, exp.x, "getTangent #" + i + ": x correct" ); assert.numEqual( tangent.y, exp.y, "getTangent #" + i + ": y correct" ); } ); // expectedTangents = [ new THREE.Vector3( 0.3138715439944244, 0.9411440474105875, 0.12542940601858074 ), new THREE.Vector3( 0.8016539573770751, 0.5918626760037707, - 0.08396133262002324 ), new THREE.Vector3( 0.997337559412928, 0.05740742907719314, - 0.044968652092444425 ), new THREE.Vector3( 0.1389373097746809, - 0.7882209938358005, 0.5995032016837588 ), new THREE.Vector3( - 0.42632467075185815, - 0.6396469221230213, 0.6396085444448543 ) ]; tangents = [ curve.getTangentAt( 0 ), curve.getTangentAt( 0.25 ), curve.getTangentAt( 0.5 ), curve.getTangentAt( 0.75 ), curve.getTangentAt( 1 ) ]; expectedTangents.forEach( function ( exp, i ) { var tangent = tangents[ i ]; assert.numEqual( tangent.x, exp.x, "getTangentAt #" + i + ": x correct" ); assert.numEqual( tangent.y, exp.y, "getTangentAt #" + i + ": y correct" ); } ); } ); QUnit.test( "getUtoTmapping", function ( assert ) { var curve = this.curve; var start = curve.getUtoTmapping( 0, 0 ); var end = curve.getUtoTmapping( 0, curve.getLength() ); var somewhere = curve.getUtoTmapping( 0.5, 1 ); var expectedSomewhere = 0.021163245321323316; assert.strictEqual( start, 0, "getUtoTmapping( 0, 0 ) is the starting point" ); assert.strictEqual( end, 1, "getUtoTmapping( 0, length ) is the ending point" ); assert.numEqual( somewhere, expectedSomewhere, "getUtoTmapping( 0.5, 1 ) is correct" ); } ); QUnit.test( "getSpacedPoints", function ( assert ) { var curve = this.curve; var expectedPoints = [ new THREE.Vector3( - 10, 0, 2 ), new THREE.Vector3( - 5.756524515061918, 6.568020242700483, 2.22116711170301 ), new THREE.Vector3( 1.0003511895116906, 10.49656064587831, 1.4727101010850698 ), new THREE.Vector3( 8.767656412295171, 10.784286845278622, 1.2873599519775174 ), new THREE.Vector3( 12.306772513558396, 5.545103788071547, 4.909948454535794 ), new THREE.Vector3( 10, 0, 10 ) ]; var points = curve.getSpacedPoints(); assert.strictEqual( points.length, expectedPoints.length, "Correct number of points" ); assert.deepEqual( points, expectedPoints, "Correct points calculated" ); } ); QUnit.test( "computeFrenetFrames", function ( assert ) { var curve = this.curve; var expected = { binormals: [ new THREE.Vector3( - 0.9486358543207215, 0.316370061632252, - 6.938893903907228e-18 ), new THREE.Vector3( - 0.05491430765311864, 0.9969838307670049, 0.054842137122173326 ), new THREE.Vector3( 0.5944656510461876, 0.334836503700931, 0.7310917216844742 ) ], normals: [ new THREE.Vector3( 0.03968210891259515, 0.11898683173537697, - 0.9921025471723304 ), new THREE.Vector3( - 0.047981365124836806, 0.05222670079466692, - 0.9974819097732357 ), new THREE.Vector3( 0.6818048583242511, - 0.6919077473246573, - 0.23749906180354932 ) ], tangents: [ new THREE.Vector3( 0.3138715439944244, 0.9411440474105875, 0.12542940601858074 ), new THREE.Vector3( 0.9973375594129282, 0.05740742907719315, - 0.04496865209244443 ), new THREE.Vector3( - 0.42632467075185815, - 0.6396469221230213, 0.6396085444448543 ) ] }; var frames = curve.computeFrenetFrames( 2, false ); Object.keys( expected ).forEach( function ( group, i ) { expected[ group ].forEach( function ( vec, j ) { assert.numEqual( frames[ group ][ j ].x, vec.x, "Frenet frames [" + i + ", " + j + "].x correct" ); assert.numEqual( frames[ group ][ j ].y, vec.y, "Frenet frames [" + i + ", " + j + "].y correct" ); assert.numEqual( frames[ group ][ j ].z, vec.z, "Frenet frames [" + i + ", " + j + "].z correct" ); } ); } ); } );