Doodle3D-Slicer/three.js-master/test/unit/math/Matrix4.js

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2015-06-12 15:58:26 +02:00
/**
* @author bhouston / http://exocortex.com
*/
module( "Matrix4" );
var matrixEquals4 = function( a, b, tolerance ) {
tolerance = tolerance || 0.0001;
if( a.elements.length != b.elements.length ) {
return false;
}
for( var i = 0, il = a.elements.length; i < il; i ++ ) {
var delta = a.elements[i] - b.elements[i];
if( delta > tolerance ) {
return false;
}
}
return true;
};
test( "constructor", function() {
var a = new THREE.Matrix4();
ok( a.determinant() == 1, "Passed!" );
var b = new THREE.Matrix4().set( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
ok( b.elements[0] == 0 );
ok( b.elements[1] == 4 );
ok( b.elements[2] == 8 );
ok( b.elements[3] == 12 );
ok( b.elements[4] == 1 );
ok( b.elements[5] == 5 );
ok( b.elements[6] == 9 );
ok( b.elements[7] == 13 );
ok( b.elements[8] == 2 );
ok( b.elements[9] == 6 );
ok( b.elements[10] == 10 );
ok( b.elements[11] == 14 );
ok( b.elements[12] == 3 );
ok( b.elements[13] == 7 );
ok( b.elements[14] == 11 );
ok( b.elements[15] == 15 );
ok( ! matrixEquals4( a, b ), "Passed!" );
});
test( "copy", function() {
var a = new THREE.Matrix4().set( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
var b = new THREE.Matrix4().copy( a );
ok( matrixEquals4( a, b ), "Passed!" );
// ensure that it is a true copy
a.elements[0] = 2;
ok( ! matrixEquals4( a, b ), "Passed!" );
});
test( "set", function() {
var b = new THREE.Matrix4();
ok( b.determinant() == 1, "Passed!" );
b.set( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
ok( b.elements[0] == 0 );
ok( b.elements[1] == 4 );
ok( b.elements[2] == 8 );
ok( b.elements[3] == 12 );
ok( b.elements[4] == 1 );
ok( b.elements[5] == 5 );
ok( b.elements[6] == 9 );
ok( b.elements[7] == 13 );
ok( b.elements[8] == 2 );
ok( b.elements[9] == 6 );
ok( b.elements[10] == 10 );
ok( b.elements[11] == 14 );
ok( b.elements[12] == 3 );
ok( b.elements[13] == 7 );
ok( b.elements[14] == 11 );
ok( b.elements[15] == 15 );
});
test( "identity", function() {
var b = new THREE.Matrix4().set( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
ok( b.elements[0] == 0 );
ok( b.elements[1] == 4 );
ok( b.elements[2] == 8 );
ok( b.elements[3] == 12 );
ok( b.elements[4] == 1 );
ok( b.elements[5] == 5 );
ok( b.elements[6] == 9 );
ok( b.elements[7] == 13 );
ok( b.elements[8] == 2 );
ok( b.elements[9] == 6 );
ok( b.elements[10] == 10 );
ok( b.elements[11] == 14 );
ok( b.elements[12] == 3 );
ok( b.elements[13] == 7 );
ok( b.elements[14] == 11 );
ok( b.elements[15] == 15 );
var a = new THREE.Matrix4();
ok( ! matrixEquals4( a, b ), "Passed!" );
b.identity();
ok( matrixEquals4( a, b ), "Passed!" );
});
test( "multiplyScalar", function() {
var b = new THREE.Matrix4().set( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
ok( b.elements[0] == 0 );
ok( b.elements[1] == 4 );
ok( b.elements[2] == 8 );
ok( b.elements[3] == 12 );
ok( b.elements[4] == 1 );
ok( b.elements[5] == 5 );
ok( b.elements[6] == 9 );
ok( b.elements[7] == 13 );
ok( b.elements[8] == 2 );
ok( b.elements[9] == 6 );
ok( b.elements[10] == 10 );
ok( b.elements[11] == 14 );
ok( b.elements[12] == 3 );
ok( b.elements[13] == 7 );
ok( b.elements[14] == 11 );
ok( b.elements[15] == 15 );
b.multiplyScalar( 2 );
ok( b.elements[0] == 0*2 );
ok( b.elements[1] == 4*2 );
ok( b.elements[2] == 8*2 );
ok( b.elements[3] == 12*2 );
ok( b.elements[4] == 1*2 );
ok( b.elements[5] == 5*2 );
ok( b.elements[6] == 9*2 );
ok( b.elements[7] == 13*2 );
ok( b.elements[8] == 2*2 );
ok( b.elements[9] == 6*2 );
ok( b.elements[10] == 10*2 );
ok( b.elements[11] == 14*2 );
ok( b.elements[12] == 3*2 );
ok( b.elements[13] == 7*2 );
ok( b.elements[14] == 11*2 );
ok( b.elements[15] == 15*2 );
});
test( "determinant", function() {
var a = new THREE.Matrix4();
ok( a.determinant() == 1, "Passed!" );
a.elements[0] = 2;
ok( a.determinant() == 2, "Passed!" );
a.elements[0] = 0;
ok( a.determinant() == 0, "Passed!" );
// calculated via http://www.euclideanspace.com/maths/algebra/matrix/functions/determinant/fourD/index.htm
a.set( 2, 3, 4, 5, -1, -21, -3, -4, 6, 7, 8, 10, -8, -9, -10, -12 );
ok( a.determinant() == 76, "Passed!" );
});
test( "getInverse", function() {
var identity = new THREE.Matrix4();
var a = new THREE.Matrix4();
var b = new THREE.Matrix4().set( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 );
var c = new THREE.Matrix4().set( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 );
ok( ! matrixEquals4( a, b ), "Passed!" );
b.getInverse( a, false );
ok( matrixEquals4( b, new THREE.Matrix4() ), "Passed!" );
try {
b.getInverse( c, true );
ok( false, "Passed!" ); // should never get here.
}
catch( err ) {
ok( true, "Passed!" );
}
var testMatrices = [
new THREE.Matrix4().makeRotationX( 0.3 ),
new THREE.Matrix4().makeRotationX( -0.3 ),
new THREE.Matrix4().makeRotationY( 0.3 ),
new THREE.Matrix4().makeRotationY( -0.3 ),
new THREE.Matrix4().makeRotationZ( 0.3 ),
new THREE.Matrix4().makeRotationZ( -0.3 ),
new THREE.Matrix4().makeScale( 1, 2, 3 ),
new THREE.Matrix4().makeScale( 1/8, 1/2, 1/3 ),
new THREE.Matrix4().makeFrustum( -1, 1, -1, 1, 1, 1000 ),
new THREE.Matrix4().makeFrustum( -16, 16, -9, 9, 0.1, 10000 ),
new THREE.Matrix4().makeTranslation( 1, 2, 3 )
];
for( var i = 0, il = testMatrices.length; i < il; i ++ ) {
var m = testMatrices[i];
var mInverse = new THREE.Matrix4().getInverse( m );
var mSelfInverse = m.clone();
mSelfInverse.getInverse( mSelfInverse );
// self-inverse should the same as inverse
ok( matrixEquals4( mSelfInverse, mInverse ), "Passed!" );
// the determinant of the inverse should be the reciprocal
ok( Math.abs( m.determinant() * mInverse.determinant() - 1 ) < 0.0001, "Passed!" );
var mProduct = new THREE.Matrix4().multiplyMatrices( m, mInverse );
// the determinant of the identity matrix is 1
ok( Math.abs( mProduct.determinant() - 1 ) < 0.0001, "Passed!" );
ok( matrixEquals4( mProduct, identity ), "Passed!" );
}
});
test( "makeBasis/extractBasis", function() {
var identityBasis = [ new THREE.Vector3( 1, 0, 0 ), new THREE.Vector3( 0, 1, 0 ), new THREE.Vector3( 0, 0, 1 ) ];
var a = new THREE.Matrix4().makeBasis( identityBasis[0], identityBasis[1], identityBasis[2] );
var identity = new THREE.Matrix4();
ok( matrixEquals4( a, identity ), "Passed!" );
var testBases = [ [ new THREE.Vector3( 0, 1, 0 ), new THREE.Vector3( -1, 0, 0 ), new THREE.Vector3( 0, 0, 1 ) ] ]
for( var i = 0; i < testBases.length; i ++ ) {
var testBasis = testBases[i];
var b = new THREE.Matrix4().makeBasis( testBasis[0], testBasis[1], testBasis[2] );
var outBasis = [ new THREE.Vector3(), new THREE.Vector3(), new THREE.Vector3() ];
b.extractBasis( outBasis[0], outBasis[1], outBasis[2] );
// check what goes in, is what comes out.
for( var j = 0; j < outBasis.length; j ++ ) {
console.log( outBasis[j], testBasis[j] );
ok( outBasis[j].equals( testBasis[j] ), "Passed!" );
}
// get the basis out the hard war
for( var j = 0; j < identityBasis.length; j ++ ) {
outBasis[j].copy( identityBasis[j] );
outBasis[j].applyMatrix4( b );
}
// did the multiply method of basis extraction work?
for( var j = 0; j < outBasis.length; j ++ ) {
ok( outBasis[j].equals( testBasis[j] ), "Passed!" );
}
}
});
test( "transpose", function() {
var a = new THREE.Matrix4();
var b = a.clone().transpose();
ok( matrixEquals4( a, b ), "Passed!" );
b = new THREE.Matrix4().set( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
var c = b.clone().transpose();
ok( ! matrixEquals4( b, c ), "Passed!" );
c.transpose();
ok( matrixEquals4( b, c ), "Passed!" );
});
test( "clone", function() {
var a = new THREE.Matrix4().set( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
var b = a.clone();
ok( matrixEquals4( a, b ), "Passed!" );
// ensure that it is a true copy
a.elements[0] = 2;
ok( ! matrixEquals4( a, b ), "Passed!" );
});
test( "compose/decompose", function() {
var tValues = [
new THREE.Vector3(),
new THREE.Vector3( 3, 0, 0 ),
new THREE.Vector3( 0, 4, 0 ),
new THREE.Vector3( 0, 0, 5 ),
new THREE.Vector3( -6, 0, 0 ),
new THREE.Vector3( 0, -7, 0 ),
new THREE.Vector3( 0, 0, -8 ),
new THREE.Vector3( -2, 5, -9 ),
new THREE.Vector3( -2, -5, -9 )
];
var sValues = [
new THREE.Vector3( 1, 1, 1 ),
new THREE.Vector3( 2, 2, 2 ),
new THREE.Vector3( 1, -1, 1 ),
new THREE.Vector3( -1, 1, 1 ),
new THREE.Vector3( 1, 1, -1 ),
new THREE.Vector3( 2, -2, 1 ),
new THREE.Vector3( -1, 2, -2 ),
new THREE.Vector3( -1, -1, -1 ),
new THREE.Vector3( -2, -2, -2 )
];
var rValues = [
new THREE.Quaternion(),
new THREE.Quaternion().setFromEuler( new THREE.Euler( 1, 1, 0 ) ),
new THREE.Quaternion().setFromEuler( new THREE.Euler( 1, -1, 1 ) ),
new THREE.Quaternion( 0, 0.9238795292366128, 0, 0.38268342717215614 )
];
for( var ti = 0; ti < tValues.length; ti ++ ) {
for( var si = 0; si < sValues.length; si ++ ) {
for( var ri = 0; ri < rValues.length; ri ++ ) {
var t = tValues[ti];
var s = sValues[si];
var r = rValues[ri];
var m = new THREE.Matrix4().compose( t, r, s );
var t2 = new THREE.Vector3();
var r2 = new THREE.Quaternion();
var s2 = new THREE.Vector3();
m.decompose( t2, r2, s2 );
var m2 = new THREE.Matrix4().compose( t2, r2, s2 );
var matrixIsSame = matrixEquals4( m, m2 );
/* debug code
if( ! matrixIsSame ) {
console.log( t, s, r );
console.log( t2, s2, r2 );
console.log( m, m2 );
}*/
ok( matrixEquals4( m, m2 ), "Passed!" );
}
}
}
});