/** * @author moraxy / https://github.com/moraxy */ QUnit.module( "QuadraticBezierCurve3", { before: function () { // modified from the docs this.curve = new THREE.QuadraticBezierCurve3( new THREE.Vector3( - 10, 0, 2 ), 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( 2.5, 5.625, - 0.125 ), new THREE.Vector3( 10, 7.5, 0.5 ), new THREE.Vector3( 12.5, 5.625, 3.875 ), 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.QuadraticBezierCurve3( 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 = 35.47294274967861; assert.numEqual( length, expectedLength, "Correct length of curve" ); var expectedLengths = [ 0, 13.871057998581074, 21.62710402732536, 26.226696400568883, 34.91037361704809 ]; 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( - 0.4981634504454243, 4.427089043881476, 0.19308849757196012 ), new THREE.Vector3( 6.149415812887238, 6.838853310980195, - 0.20278120208668637 ), 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( 0.8755715084258769, 0.4377711603816079, - 0.2042815331129452 ), new THREE.Vector3( 0.9340289249885844, 0.3502608468707904, - 0.07005216937416067 ), new THREE.Vector3( 0.9284766908853163, 0, 0.37139067635396156 ), new THREE.Vector3( - 3.669031233375946e-13, - 0.6196442885791218, 0.7848827655333463 ), new THREE.Vector3( - 0.4263618889888853, - 0.6396068005601663, 0.6396238584473043 ) ]; 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( 0.8755715084258769, 0.4377711603816079, - 0.2042815331129452 ), new THREE.Vector3( 0.9060725703490549, 0.3984742932857448, - 0.14230507668907377 ), new THREE.Vector3( 0.9621604167456882, 0.2688562845452628, 0.044312872940942424 ), new THREE.Vector3( 0.016586454041780826, - 0.6163270940470614, 0.7873155674098058 ), new THREE.Vector3( - 0.4263618889888853, - 0.6396068005601663, 0.6396238584473043 ) ]; 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 = 0.014760890927167196; 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( - 3.712652983516992, 3.015179001762753, 0.6957120710270492 ), new THREE.Vector3( 2.7830973773262975, 5.730399338061483, - 0.1452668772806931 ), new THREE.Vector3( 9.575825284074465, 7.48754187603603, 0.3461104039841496 ), new THREE.Vector3( 12.345199937734154, 4.575759904730531, 5.142117429101656 ), 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( - 0.447201668889759, 0.8944331542056199, 0 ), new THREE.Vector3( - 0.2684231751110917, 0.9631753839815436, - 0.01556209353802903 ), new THREE.Vector3( 0.3459273556592433, 0.53807011680075, 0.7686447905324219 ) ], normals: [ new THREE.Vector3( - 0.18271617600817133, - 0.09135504253146765, - 0.9789121795283909 ), new THREE.Vector3( 0.046865035058597876, - 0.003078628350883253, - 0.9988964863970807 ), new THREE.Vector3( 0.8357929194629689, - 0.5489842348221077, 0.008155102228190641 ) ], tangents: [ new THREE.Vector3( 0.8755715084258767, 0.4377711603816078, - 0.20428153311294514 ), new THREE.Vector3( 0.9621604167456884, 0.26885628454526284, 0.04431287294094243 ), new THREE.Vector3( - 0.4263618889888853, - 0.6396068005601663, 0.6396238584473043 ) ] }; 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" ); } ); } ); } );