three.js/test/unit/src/math/Vector3.js

/**
 * @author bhouston / http://exocortex.com
 */

QUnit.module( "Vector3" );

QUnit.test( "constructor" , function( assert ) {
	var a = new THREE.Vector3();
	assert.ok( a.x == 0, "Passed!" );
	assert.ok( a.y == 0, "Passed!" );
	assert.ok( a.z == 0, "Passed!" );

	a = new THREE.Vector3( x, y, z );
	assert.ok( a.x === x, "Passed!" );
	assert.ok( a.y === y, "Passed!" );
	assert.ok( a.z === z, "Passed!" );
});

QUnit.test( "copy" , function( assert ) {
	var a = new THREE.Vector3( x, y, z );
	var b = new THREE.Vector3().copy( a );
	assert.ok( b.x == x, "Passed!" );
	assert.ok( b.y == y, "Passed!" );
	assert.ok( b.z == z, "Passed!" );

	// ensure that it is a true copy
	a.x = 0;
	a.y = -1;
	a.z = -2;
	assert.ok( b.x == x, "Passed!" );
	assert.ok( b.y == y, "Passed!" );
	assert.ok( b.z == z, "Passed!" );
});

QUnit.test( "set" , function( assert ) {
	var a = new THREE.Vector3();
	assert.ok( a.x == 0, "Passed!" );
	assert.ok( a.y == 0, "Passed!" );
	assert.ok( a.z == 0, "Passed!" );

	a.set( x, y, z );
	assert.ok( a.x == x, "Passed!" );
	assert.ok( a.y == y, "Passed!" );
	assert.ok( a.z == z, "Passed!" );
});

QUnit.test( "setX,setY,setZ", function( assert ) {
	var a = new THREE.Vector3();
	assert.ok( a.x == 0, "Passed!" );
	assert.ok( a.y == 0, "Passed!" );
	assert.ok( a.z == 0, "Passed!" );

	a.setX( x );
	a.setY( y );
	a.setZ( z );

	assert.ok( a.x == x, "Passed!" );
	assert.ok( a.y == y, "Passed!" );
	assert.ok( a.z == z, "Passed!" );
});

QUnit.test( "setComponent,getComponent", function( assert ) {
	var a = new THREE.Vector3();
	assert.ok( a.x == 0, "Passed!" );
	assert.ok( a.y == 0, "Passed!" );
	assert.ok( a.z == 0, "Passed!" );

	a.setComponent( 0, 1 );
	a.setComponent( 1, 2 );
	a.setComponent( 2, 3 );
	assert.ok( a.getComponent( 0 ) == 1, "Passed!" );
	assert.ok( a.getComponent( 1 ) == 2, "Passed!" );
	assert.ok( a.getComponent( 2 ) == 3, "Passed!" );
});

QUnit.test( "add" , function( assert ) {
	var a = new THREE.Vector3( x, y, z );
	var b = new THREE.Vector3( -x, -y, -z );

	a.add( b );
	assert.ok( a.x == 0, "Passed!" );
	assert.ok( a.y == 0, "Passed!" );
	assert.ok( a.z == 0, "Passed!" );

	var c = new THREE.Vector3().addVectors( b, b );
	assert.ok( c.x == -2*x, "Passed!" );
	assert.ok( c.y == -2*y, "Passed!" );
	assert.ok( c.z == -2*z, "Passed!" );
});

QUnit.test( "sub" , function( assert ) {
	var a = new THREE.Vector3( x, y, z );
	var b = new THREE.Vector3( -x, -y, -z );

	a.sub( b );
	assert.ok( a.x == 2*x, "Passed!" );
	assert.ok( a.y == 2*y, "Passed!" );
	assert.ok( a.z == 2*z, "Passed!" );

	var c = new THREE.Vector3().subVectors( a, a );
	assert.ok( c.x == 0, "Passed!" );
	assert.ok( c.y == 0, "Passed!" );
	assert.ok( c.z == 0, "Passed!" );
});

QUnit.test( "multiply/divide", function( assert ) {
	var a = new THREE.Vector3( x, y, z );
	var b = new THREE.Vector3( -x, -y, -z );

	a.multiplyScalar( -2 );
	assert.ok( a.x == x*-2, "Passed!" );
	assert.ok( a.y == y*-2, "Passed!" );
	assert.ok( a.z == z*-2, "Passed!" );

	b.multiplyScalar( -2 );
	assert.ok( b.x == 2*x, "Passed!" );
	assert.ok( b.y == 2*y, "Passed!" );
	assert.ok( b.z == 2*z, "Passed!" );

	a.divideScalar( -2 );
	assert.ok( a.x == x, "Passed!" );
	assert.ok( a.y == y, "Passed!" );
	assert.ok( a.z == z, "Passed!" );

	b.divideScalar( -2 );
	assert.ok( b.x == -x, "Passed!" );
	assert.ok( b.y == -y, "Passed!" );
	assert.ok( b.z == -z, "Passed!" );
});

QUnit.test( "min/max/clamp", function( assert ) {
	var a = new THREE.Vector3( x, y, z );
	var b = new THREE.Vector3( -x, -y, -z );
	var c = new THREE.Vector3();

	c.copy( a ).min( b );
	assert.ok( c.x == -x, "Passed!" );
	assert.ok( c.y == -y, "Passed!" );
	assert.ok( c.z == -z, "Passed!" );

	c.copy( a ).max( b );
	assert.ok( c.x == x, "Passed!" );
	assert.ok( c.y == y, "Passed!" );
	assert.ok( c.z == z, "Passed!" );

	c.set( -2*x, 2*y, -2*z );
	c.clamp( b, a );
	assert.ok( c.x == -x, "Passed!" );
	assert.ok( c.y == y, "Passed!" );
	assert.ok( c.z == -z, "Passed!" );
});

QUnit.test( "negate" , function( assert ) {
	var a = new THREE.Vector3( x, y, z );

	a.negate();
	assert.ok( a.x == -x, "Passed!" );
	assert.ok( a.y == -y, "Passed!" );
	assert.ok( a.z == -z, "Passed!" );
});

QUnit.test( "dot" , function( assert ) {
	var a = new THREE.Vector3( x, y, z );
	var b = new THREE.Vector3( -x, -y, -z );
	var c = new THREE.Vector3();

	var result = a.dot( b );
	assert.ok( result == (-x*x-y*y-z*z), "Passed!" );

	result = a.dot( c );
	assert.ok( result == 0, "Passed!" );
});

QUnit.test( "length/lengthSq", function( assert ) {
	var a = new THREE.Vector3( x, 0, 0 );
	var b = new THREE.Vector3( 0, -y, 0 );
	var c = new THREE.Vector3( 0, 0, z );
	var d = new THREE.Vector3();

	assert.ok( a.length() == x, "Passed!" );
	assert.ok( a.lengthSq() == x*x, "Passed!" );
	assert.ok( b.length() == y, "Passed!" );
	assert.ok( b.lengthSq() == y*y, "Passed!" );
	assert.ok( c.length() == z, "Passed!" );
	assert.ok( c.lengthSq() == z*z, "Passed!" );
	assert.ok( d.length() == 0, "Passed!" );
	assert.ok( d.lengthSq() == 0, "Passed!" );

	a.set( x, y, z );
	assert.ok( a.length() == Math.sqrt( x*x + y*y + z*z ), "Passed!" );
	assert.ok( a.lengthSq() == ( x*x + y*y + z*z ), "Passed!" );
});

QUnit.test( "normalize" , function( assert ) {
	var a = new THREE.Vector3( x, 0, 0 );
	var b = new THREE.Vector3( 0, -y, 0 );
	var c = new THREE.Vector3( 0, 0, z );

	a.normalize();
	assert.ok( a.length() == 1, "Passed!" );
	assert.ok( a.x == 1, "Passed!" );

	b.normalize();
	assert.ok( b.length() == 1, "Passed!" );
	assert.ok( b.y == -1, "Passed!" );

	c.normalize();
	assert.ok( c.length() == 1, "Passed!" );
	assert.ok( c.z == 1, "Passed!" );
});

QUnit.test( "distanceTo/distanceToSquared", function( assert ) {
	var a = new THREE.Vector3( x, 0, 0 );
	var b = new THREE.Vector3( 0, -y, 0 );
	var c = new THREE.Vector3( 0, 0, z );
	var d = new THREE.Vector3();

	assert.ok( a.distanceTo( d ) == x, "Passed!" );
	assert.ok( a.distanceToSquared( d ) == x*x, "Passed!" );

	assert.ok( b.distanceTo( d ) == y, "Passed!" );
	assert.ok( b.distanceToSquared( d ) == y*y, "Passed!" );

	assert.ok( c.distanceTo( d ) == z, "Passed!" );
	assert.ok( c.distanceToSquared( d ) == z*z, "Passed!" );
});

QUnit.test( "setLength" , function( assert ) {
	var a = new THREE.Vector3( x, 0, 0 );

	assert.ok( a.length() == x, "Passed!" );
	a.setLength( y );
	assert.ok( a.length() == y, "Passed!" );

	a = new THREE.Vector3( 0, 0, 0 );
	assert.ok( a.length() == 0, "Passed!" );
	a.setLength( y );
	assert.ok( a.length() == 0, "Passed!" );
	a.setLength();
	assert.ok( isNaN( a.length() ), "Passed!" );

});

QUnit.test( "projectOnVector" , function( assert ) {
	var a = new THREE.Vector3( 1, 0, 0 );
	var b = new THREE.Vector3();
	var normal = new THREE.Vector3( 10, 0, 0 );

	assert.ok( b.copy( a ).projectOnVector( normal ).equals( new THREE.Vector3( 1, 0, 0 ) ), "Passed!" );

	a.set( 0, 1, 0 );
	assert.ok( b.copy( a ).projectOnVector( normal ).equals( new THREE.Vector3( 0, 0, 0 ) ), "Passed!" );

	a.set( 0, 0, -1 );
	assert.ok( b.copy( a ).projectOnVector( normal ).equals( new THREE.Vector3( 0, 0, 0 ) ), "Passed!" );

	a.set( -1, 0, 0 );
	assert.ok( b.copy( a ).projectOnVector( normal ).equals( new THREE.Vector3( -1, 0, 0 ) ), "Passed!" );

});

QUnit.test( "projectOnPlane" , function( assert ) {
	var a = new THREE.Vector3( 1, 0, 0 );
	var b = new THREE.Vector3();
	var normal = new THREE.Vector3( 1, 0, 0 );

	assert.ok( b.copy( a ).projectOnPlane( normal ).equals( new THREE.Vector3( 0, 0, 0 ) ), "Passed!" );

	a.set( 0, 1, 0 );
	assert.ok( b.copy( a ).projectOnPlane( normal ).equals( new THREE.Vector3( 0, 1, 0 ) ), "Passed!" );

	a.set( 0, 0, -1 );
	assert.ok( b.copy( a ).projectOnPlane( normal ).equals( new THREE.Vector3( 0, 0, -1 ) ), "Passed!" );

	a.set( -1, 0, 0 );
	assert.ok( b.copy( a ).projectOnPlane( normal ).equals( new THREE.Vector3( 0, 0, 0 ) ), "Passed!" );

});

QUnit.test( "reflect" , function( assert ) {
	var a = new THREE.Vector3();
	var normal = new THREE.Vector3( 0, 1, 0 );
	var b = new THREE.Vector3();

	a.set( 0, -1, 0 );
	assert.ok( b.copy( a ).reflect( normal ).equals( new THREE.Vector3( 0, 1, 0 ) ), "Passed!" );

	a.set( 1, -1, 0 );
	assert.ok( b.copy( a ).reflect( normal ).equals( new THREE.Vector3( 1, 1, 0 ) ), "Passed!" );

	a.set( 1, -1, 0 );
	normal.set( 0, -1, 0 );
	assert.ok( b.copy( a ).reflect( normal ).equals( new THREE.Vector3( 1, 1, 0 ) ), "Passed!" );
});

QUnit.test( "angleTo" , function( assert ) {
	var a = new THREE.Vector3( 0, -0.18851655680720186, 0.9820700116639124 );
	var b = new THREE.Vector3( 0, 0.18851655680720186, -0.9820700116639124 );

	assert.equal( a.angleTo( a ), 0 );
	assert.equal( a.angleTo( b ), Math.PI );

	var x = new THREE.Vector3( 1, 0, 0 );
	var y = new THREE.Vector3( 0, 1, 0 );
	var z = new THREE.Vector3( 0, 0, 1 );

	assert.equal( x.angleTo( y ), Math.PI / 2 );
	assert.equal( x.angleTo( z ), Math.PI / 2 );
	assert.equal( z.angleTo( x ), Math.PI / 2 );

	assert.ok( Math.abs( x.angleTo( new THREE.Vector3( 1, 1, 0 ) ) - ( Math.PI / 4 ) ) < 0.0000001 );
});

QUnit.test( "lerp/clone", function( assert ) {
	var a = new THREE.Vector3( x, 0, z );
	var b = new THREE.Vector3( 0, -y, 0 );

	assert.ok( a.lerp( a, 0 ).equals( a.lerp( a, 0.5 ) ), "Passed!" );
	assert.ok( a.lerp( a, 0 ).equals( a.lerp( a, 1 ) ), "Passed!" );

	assert.ok( a.clone().lerp( b, 0 ).equals( a ), "Passed!" );

	assert.ok( a.clone().lerp( b, 0.5 ).x == x*0.5, "Passed!" );
	assert.ok( a.clone().lerp( b, 0.5 ).y == -y*0.5, "Passed!" );
	assert.ok( a.clone().lerp( b, 0.5 ).z == z*0.5, "Passed!" );

	assert.ok( a.clone().lerp( b, 1 ).equals( b ), "Passed!" );
});

QUnit.test( "equals" , function( assert ) {
	var a = new THREE.Vector3( x, 0, z );
	var b = new THREE.Vector3( 0, -y, 0 );

	assert.ok( a.x != b.x, "Passed!" );
	assert.ok( a.y != b.y, "Passed!" );
	assert.ok( a.z != b.z, "Passed!" );

	assert.ok( ! a.equals( b ), "Passed!" );
	assert.ok( ! b.equals( a ), "Passed!" );

	a.copy( b );
	assert.ok( a.x == b.x, "Passed!" );
	assert.ok( a.y == b.y, "Passed!" );
	assert.ok( a.z == b.z, "Passed!" );

	assert.ok( a.equals( b ), "Passed!" );
	assert.ok( b.equals( a ), "Passed!" );
});

QUnit.test( "applyMatrix4" , function( assert ) {

	var a = new THREE.Vector3( x, y, z );
	var b = new THREE.Vector4( x, y, z, 1 );

	var m = new THREE.Matrix4().makeRotationX( Math.PI );
	a.applyMatrix4( m );
	b.applyMatrix4( m );
	assert.ok( a.x == b.x / b.w, "Passed!" );
	assert.ok( a.y == b.y / b.w, "Passed!" );
	assert.ok( a.z == b.z / b.w, "Passed!" );

	m = new THREE.Matrix4().makeTranslation( 3, 2, 1 );
	a.applyMatrix4( m );
	b.applyMatrix4( m );
	assert.ok( a.x == b.x / b.w, "Passed!" );
	assert.ok( a.y == b.y / b.w, "Passed!" );
	assert.ok( a.z == b.z / b.w, "Passed!" );

	m = new THREE.Matrix4().set(
		1, 0, 0, 0,
		0, 1, 0, 0,
		0, 0, 1, 0,
		0, 0, 1, 0
	);
	a.applyMatrix4( m );
	b.applyMatrix4( m );
	assert.ok( a.x == b.x / b.w, "Passed!" );
	assert.ok( a.y == b.y / b.w, "Passed!" );
	assert.ok( a.z == b.z / b.w, "Passed!" );

});

QUnit.test( "setComponent/getComponent exceptions", function ( assert ) {

	var a = new THREE.Vector3();

	assert.throws(
		function () {

			a.setComponent( 3, 0 );

		},
		/index is out of range/,
		"setComponent with an out of range index throws Error"
	);
	assert.throws(
		function () {

			a.getComponent( 3 );

		},
		/index is out of range/,
		"getComponent with an out of range index throws Error"
	);

} );

QUnit.test( "lengthManhattan", function ( assert ) {

	var a = new THREE.Vector3( x, 0, 0 );
	var b = new THREE.Vector3( 0, - y, 0 );
	var c = new THREE.Vector3( 0, 0, z );
	var d = new THREE.Vector3();

	assert.ok( a.lengthManhattan() == x, "Positive x" );
	assert.ok( b.lengthManhattan() == y, "Negative y" );
	assert.ok( c.lengthManhattan() == z, "Positive z" );
	assert.ok( d.lengthManhattan() == 0, "Empty initialization" );

	a.set( x, y, z );
	assert.ok( a.lengthManhattan() == Math.abs( x ) + Math.abs( y ) + Math.abs( z ), "All components" );

} );

QUnit.test( "setScalar/addScalar/subScalar", function ( assert ) {

	var a = new THREE.Vector3();
	var s = 3;

	a.setScalar( s );
	assert.strictEqual( a.x, s, "setScalar: check x" );
	assert.strictEqual( a.y, s, "setScalar: check y" );
	assert.strictEqual( a.z, s, "setScalar: check z" );

	a.addScalar( s );
	assert.strictEqual( a.x, 2 * s, "addScalar: check x" );
	assert.strictEqual( a.y, 2 * s, "addScalar: check y" );
	assert.strictEqual( a.z, 2 * s, "addScalar: check z" );

	a.subScalar( 2 * s );
	assert.strictEqual( a.x, 0, "subScalar: check x" );
	assert.strictEqual( a.y, 0, "subScalar: check y" );
	assert.strictEqual( a.z, 0, "subScalar: check z" );

} );

QUnit.test( "addScaledVector", function ( assert ) {

	var a = new THREE.Vector3( x, y, z );
	var b = new THREE.Vector3( 2, 3, 4 );
	var s = 3;

	a.addScaledVector( b, s );
	assert.strictEqual( a.x, x + b.x * s, "Check x" );
	assert.strictEqual( a.y, y + b.y * s, "Check y" );
	assert.strictEqual( a.z, z + b.z * s, "Check z" );

} );

QUnit.test( "multiply/divide", function ( assert ) {

	var a = new THREE.Vector3( x, y, z );
	var b = new THREE.Vector3( 2 * x, 2 * y, 2 * z );
	var c = new THREE.Vector3( 4 * x, 4 * y, 4 * z );

	a.multiply( b );
	assert.strictEqual( a.x, x * b.x, "multiply: check x" );
	assert.strictEqual( a.y, y * b.y, "multiply: check y" );
	assert.strictEqual( a.z, z * b.z, "multiply: check z" );

	b.divide( c );
	assert.ok( Math.abs( b.x - 0.5 ) <= eps, "divide: check z" );
	assert.ok( Math.abs( b.y - 0.5 ) <= eps, "divide: check z" );
	assert.ok( Math.abs( b.z - 0.5 ) <= eps, "divide: check z" );

} );

QUnit.test( "multiplyVectors", function ( assert ) {

	var a = new THREE.Vector3( x, y, z );
	var b = new THREE.Vector3( 2, 3, - 5 );

	var c = new THREE.Vector3().multiplyVectors( a, b );
	assert.strictEqual( c.x, x * 2, "Check x" );
	assert.strictEqual( c.y, y * 3, "Check y" );
	assert.strictEqual( c.z, z * - 5, "Check z" );

} );

QUnit.test( "applyMatrix3", function ( assert ) {

	var a = new THREE.Vector3( x, y, z );
	var m = new THREE.Matrix3().set( 2, 3, 5, 7, 11, 13, 17, 19, 23 );

	a.applyMatrix3( m );
	assert.strictEqual( a.x, 33, "Check x" );
	assert.strictEqual( a.y, 99, "Check y" );
	assert.strictEqual( a.z, 183, "Check z" );

} );

QUnit.test( "applyQuaternion", function ( assert ) {

	var a = new THREE.Vector3( x, y, z );

	a.applyQuaternion( new THREE.Quaternion() );
	assert.strictEqual( a.x, x, "Identity rotation: check x" );
	assert.strictEqual( a.y, y, "Identity rotation: check y" );
	assert.strictEqual( a.z, z, "Identity rotation: check z" );

	a.applyQuaternion( new THREE.Quaternion( x, y, z, w ) );
	assert.strictEqual( a.x, 108, "Normal rotation: check x" );
	assert.strictEqual( a.y, 162, "Normal rotation: check y" );
	assert.strictEqual( a.z, 216, "Normal rotation: check z" );

} );

QUnit.test( "project/unproject", function ( assert ) {

	var a = new THREE.Vector3( x, y, z );
	var camera = new THREE.PerspectiveCamera( 75, 16 / 9, 0.1, 300.0 );
	var projected = new THREE.Vector3( - 0.36653213611158914, - 0.9774190296309043, 1.0506835611870624 );

	a.project( camera );
	assert.ok( Math.abs( a.x - projected.x ) <= eps, "project: check x" );
	assert.ok( Math.abs( a.y - projected.y ) <= eps, "project: check y" );
	assert.ok( Math.abs( a.z - projected.z ) <= eps, "project: check z" );

	a.unproject( camera );
	assert.ok( Math.abs( a.x - x ) <= eps, "unproject: check x" );
	assert.ok( Math.abs( a.y - y ) <= eps, "unproject: check y" );
	assert.ok( Math.abs( a.z - z ) <= eps, "unproject: check z" );

} );

QUnit.test( "transformDirection", function ( assert ) {

	var a = new THREE.Vector3( x, y, z );
	var m = new THREE.Matrix4();
	var transformed = new THREE.Vector3( 0.3713906763541037, 0.5570860145311556, 0.7427813527082074 );

	a.transformDirection( m );
	assert.ok( Math.abs( a.x - transformed.x ) <= eps, "Check x" );
	assert.ok( Math.abs( a.y - transformed.y ) <= eps, "Check y" );
	assert.ok( Math.abs( a.z - transformed.z ) <= eps, "Check z" );

} );

QUnit.test( "applyEuler", function ( assert ) {

	var a = new THREE.Vector3( x, y, z );
	var euler = new THREE.Euler( 90, - 45, 0 );
	var expected = new THREE.Vector3( - 2.352970120501014, - 4.7441750936226645, 0.9779234597246458 );

	a.applyEuler( euler );
	assert.ok( Math.abs( a.x - expected.x ) <= eps, "Check x" );
	assert.ok( Math.abs( a.y - expected.y ) <= eps, "Check y" );
	assert.ok( Math.abs( a.z - expected.z ) <= eps, "Check z" );

} );

QUnit.test( "applyAxisAngle", function ( assert ) {

	var a = new THREE.Vector3( x, y, z );
	var axis = new THREE.Vector3( 0, 1, 0 );
	var angle = Math.PI / 4.0;
	var expected = new THREE.Vector3( 3 * Math.sqrt( 2 ), 3, Math.sqrt( 2 ) );

	a.applyAxisAngle( axis, angle );
	assert.ok( Math.abs( a.x - expected.x ) <= eps, "Check x" );
	assert.ok( Math.abs( a.y - expected.y ) <= eps, "Check y" );
	assert.ok( Math.abs( a.z - expected.z ) <= eps, "Check z" );

} );

QUnit.test( "clampScalar", function ( assert ) {

	var a = new THREE.Vector3( - 0.01, 0.5, 1.5 );
	var clamped = new THREE.Vector3( 0.1, 0.5, 1.0 );

	a.clampScalar( 0.1, 1.0 );
	assert.ok( Math.abs( a.x - clamped.x ) <= 0.001, "Check x" );
	assert.ok( Math.abs( a.y - clamped.y ) <= 0.001, "Check y" );
	assert.ok( Math.abs( a.z - clamped.z ) <= 0.001, "Check z" );

} );

QUnit.test( "cross", function ( assert ) {

	var a = new THREE.Vector3( x, y, z );
	var b = new THREE.Vector3( 2 * x, - y, 0.5 * z );
	var crossed = new THREE.Vector3( 18, 12, - 18 );

	a.cross( b );
	assert.ok( Math.abs( a.x - crossed.x ) <= eps, "Check x" );
	assert.ok( Math.abs( a.y - crossed.y ) <= eps, "Check y" );
	assert.ok( Math.abs( a.z - crossed.z ) <= eps, "Check z" );

} );

QUnit.test( "crossVectors", function ( assert ) {

	var a = new THREE.Vector3( x, y, z );
	var b = new THREE.Vector3( x, - y, z );
	var c = new THREE.Vector3();
	var crossed = new THREE.Vector3( 24, 0, - 12 );

	c.crossVectors( a, b );
	assert.ok( Math.abs( c.x - crossed.x ) <= eps, "Check x" );
	assert.ok( Math.abs( c.y - crossed.y ) <= eps, "Check y" );
	assert.ok( Math.abs( c.z - crossed.z ) <= eps, "Check z" );

} );

QUnit.test( "setFromSpherical", function ( assert ) {

	var a = new THREE.Vector3();
	var phi = Math.acos( - 0.5 );
	var theta = Math.sqrt( Math.PI ) * phi;
	var sph = new THREE.Spherical( 10, phi, theta );
	var expected = new THREE.Vector3( - 4.677914006701843, - 5, - 7.288149322420796 );

	a.setFromSpherical( sph );
	assert.ok( Math.abs( a.x - expected.x ) <= eps, "Check x" );
	assert.ok( Math.abs( a.y - expected.y ) <= eps, "Check y" );
	assert.ok( Math.abs( a.z - expected.z ) <= eps, "Check z" );

} );

QUnit.test( "setFromCylindrical", function ( assert ) {

	var a = new THREE.Vector3();
	var cyl = new THREE.Cylindrical( 10, Math.PI * 0.125, 20 );
	var expected = new THREE.Vector3( 3.826834323650898, 20, 9.238795325112868 );

	a.setFromCylindrical( cyl );
	assert.ok( Math.abs( a.x - expected.x ) <= eps, "Check x" );
	assert.ok( Math.abs( a.y - expected.y ) <= eps, "Check y" );
	assert.ok( Math.abs( a.z - expected.z ) <= eps, "Check z" );

} );

QUnit.test( "setFromMatrixPosition", function ( assert ) {

	var a = new THREE.Vector3();
	var m = new THREE.Matrix4().set( 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53 );

	a.setFromMatrixPosition( m );
	assert.strictEqual( a.x, 7, "Check x" );
	assert.strictEqual( a.y, 19, "Check y" );
	assert.strictEqual( a.z, 37, "Check z" );

} );

QUnit.test( "setFromMatrixScale", function ( assert ) {

	var a = new THREE.Vector3();
	var m = new THREE.Matrix4().set( 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53 );
	var expected = new THREE.Vector3( 25.573423705088842, 31.921779399024736, 35.70714214271425 );

	a.setFromMatrixScale( m );
	assert.ok( Math.abs( a.x - expected.x ) <= eps, "Check x" );
	assert.ok( Math.abs( a.y - expected.y ) <= eps, "Check y" );
	assert.ok( Math.abs( a.z - expected.z ) <= eps, "Check z" );

} );

QUnit.test( "setFromMatrixColumn", function ( assert ) {

	var a = new THREE.Vector3();
	var m = new THREE.Matrix4().set( 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53 );

	a.setFromMatrixColumn( m, 0 );
	assert.strictEqual( a.x, 2, "Index 0: check x" );
	assert.strictEqual( a.y, 11, "Index 0: check y" );
	assert.strictEqual( a.z, 23, "Index 0: check z" );

	a.setFromMatrixColumn( m, 2 );
	assert.strictEqual( a.x, 5, "Index 2: check x" );
	assert.strictEqual( a.y, 17, "Index 2: check y" );
	assert.strictEqual( a.z, 31, "Index 2: check z" );

} );

QUnit.test( "fromArray", function ( assert ) {

	var a = new THREE.Vector3();
	var array = [ 1, 2, 3, 4, 5, 6 ];

	a.fromArray( array );
	assert.strictEqual( a.x, 1, "No offset: check x" );
	assert.strictEqual( a.y, 2, "No offset: check y" );
	assert.strictEqual( a.z, 3, "No offset: check z" );

	a.fromArray( array, 3 );
	assert.strictEqual( a.x, 4, "With offset: check x" );
	assert.strictEqual( a.y, 5, "With offset: check y" );
	assert.strictEqual( a.z, 6, "With offset: check z" );

} );

QUnit.test( "toArray", function ( assert ) {

	var a = new THREE.Vector3( x, y, z );

	var array = a.toArray();
	assert.strictEqual( array[ 0 ], x, "No array, no offset: check x" );
	assert.strictEqual( array[ 1 ], y, "No array, no offset: check y" );
	assert.strictEqual( array[ 2 ], z, "No array, no offset: check z" );

	array = [];
	a.toArray( array );
	assert.strictEqual( array[ 0 ], x, "With array, no offset: check x" );
	assert.strictEqual( array[ 1 ], y, "With array, no offset: check y" );
	assert.strictEqual( array[ 2 ], z, "With array, no offset: check z" );

	array = [];
	a.toArray( array, 1 );
	assert.strictEqual( array[ 0 ], undefined, "With array and offset: check [0]" );
	assert.strictEqual( array[ 1 ], x, "With array and offset: check x" );
	assert.strictEqual( array[ 2 ], y, "With array and offset: check y" );
	assert.strictEqual( array[ 3 ], z, "With array and offset: check z" );

} );

QUnit.test( "fromBufferAttribute", function ( assert ) {

	var a = new THREE.Vector3();
	var attr = new THREE.BufferAttribute( new Float32Array( [ 1, 2, 3, 4, 5, 6 ] ), 3 );

	a.fromBufferAttribute( attr, 0 );
	assert.strictEqual( a.x, 1, "Offset 0: check x" );
	assert.strictEqual( a.y, 2, "Offset 0: check y" );
	assert.strictEqual( a.z, 3, "Offset 0: check z" );

	a.fromBufferAttribute( attr, 1 );
	assert.strictEqual( a.x, 4, "Offset 1: check x" );
	assert.strictEqual( a.y, 5, "Offset 1: check y" );
	assert.strictEqual( a.z, 6, "Offset 1: check z" );

} );