mirror of
https://github.com/Doodle3D/Doodle3D-Slicer.git
synced 2024-07-08 19:50:43 +02:00
329 lines
9.4 KiB
JavaScript
Executable File
329 lines
9.4 KiB
JavaScript
Executable File
/**
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* @author bhouston / http://exocortex.com
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*/
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module( "Matrix4" );
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var matrixEquals4 = function( a, b, tolerance ) {
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tolerance = tolerance || 0.0001;
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if( a.elements.length != b.elements.length ) {
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return false;
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}
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for( var i = 0, il = a.elements.length; i < il; i ++ ) {
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var delta = a.elements[i] - b.elements[i];
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if( delta > tolerance ) {
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return false;
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}
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}
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return true;
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};
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test( "constructor", function() {
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var a = new THREE.Matrix4();
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ok( a.determinant() == 1, "Passed!" );
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var b = new THREE.Matrix4().set( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
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ok( b.elements[0] == 0 );
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ok( b.elements[1] == 4 );
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ok( b.elements[2] == 8 );
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ok( b.elements[3] == 12 );
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ok( b.elements[4] == 1 );
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ok( b.elements[5] == 5 );
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ok( b.elements[6] == 9 );
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ok( b.elements[7] == 13 );
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ok( b.elements[8] == 2 );
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ok( b.elements[9] == 6 );
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ok( b.elements[10] == 10 );
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ok( b.elements[11] == 14 );
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ok( b.elements[12] == 3 );
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ok( b.elements[13] == 7 );
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ok( b.elements[14] == 11 );
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ok( b.elements[15] == 15 );
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ok( ! matrixEquals4( a, b ), "Passed!" );
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});
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test( "copy", function() {
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var a = new THREE.Matrix4().set( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
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var b = new THREE.Matrix4().copy( a );
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ok( matrixEquals4( a, b ), "Passed!" );
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// ensure that it is a true copy
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a.elements[0] = 2;
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ok( ! matrixEquals4( a, b ), "Passed!" );
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});
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test( "set", function() {
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var b = new THREE.Matrix4();
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ok( b.determinant() == 1, "Passed!" );
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b.set( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
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ok( b.elements[0] == 0 );
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ok( b.elements[1] == 4 );
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ok( b.elements[2] == 8 );
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ok( b.elements[3] == 12 );
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ok( b.elements[4] == 1 );
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ok( b.elements[5] == 5 );
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ok( b.elements[6] == 9 );
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ok( b.elements[7] == 13 );
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ok( b.elements[8] == 2 );
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ok( b.elements[9] == 6 );
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ok( b.elements[10] == 10 );
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ok( b.elements[11] == 14 );
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ok( b.elements[12] == 3 );
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ok( b.elements[13] == 7 );
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ok( b.elements[14] == 11 );
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ok( b.elements[15] == 15 );
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});
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test( "identity", function() {
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var b = new THREE.Matrix4().set( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
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ok( b.elements[0] == 0 );
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ok( b.elements[1] == 4 );
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ok( b.elements[2] == 8 );
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ok( b.elements[3] == 12 );
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ok( b.elements[4] == 1 );
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ok( b.elements[5] == 5 );
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ok( b.elements[6] == 9 );
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ok( b.elements[7] == 13 );
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ok( b.elements[8] == 2 );
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ok( b.elements[9] == 6 );
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ok( b.elements[10] == 10 );
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ok( b.elements[11] == 14 );
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ok( b.elements[12] == 3 );
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ok( b.elements[13] == 7 );
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ok( b.elements[14] == 11 );
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ok( b.elements[15] == 15 );
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var a = new THREE.Matrix4();
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ok( ! matrixEquals4( a, b ), "Passed!" );
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b.identity();
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ok( matrixEquals4( a, b ), "Passed!" );
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});
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test( "multiplyScalar", function() {
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var b = new THREE.Matrix4().set( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
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ok( b.elements[0] == 0 );
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ok( b.elements[1] == 4 );
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ok( b.elements[2] == 8 );
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ok( b.elements[3] == 12 );
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ok( b.elements[4] == 1 );
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ok( b.elements[5] == 5 );
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ok( b.elements[6] == 9 );
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ok( b.elements[7] == 13 );
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ok( b.elements[8] == 2 );
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ok( b.elements[9] == 6 );
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ok( b.elements[10] == 10 );
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ok( b.elements[11] == 14 );
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ok( b.elements[12] == 3 );
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ok( b.elements[13] == 7 );
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ok( b.elements[14] == 11 );
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ok( b.elements[15] == 15 );
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b.multiplyScalar( 2 );
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ok( b.elements[0] == 0*2 );
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ok( b.elements[1] == 4*2 );
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ok( b.elements[2] == 8*2 );
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ok( b.elements[3] == 12*2 );
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ok( b.elements[4] == 1*2 );
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ok( b.elements[5] == 5*2 );
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ok( b.elements[6] == 9*2 );
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ok( b.elements[7] == 13*2 );
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ok( b.elements[8] == 2*2 );
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ok( b.elements[9] == 6*2 );
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ok( b.elements[10] == 10*2 );
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ok( b.elements[11] == 14*2 );
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ok( b.elements[12] == 3*2 );
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ok( b.elements[13] == 7*2 );
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ok( b.elements[14] == 11*2 );
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ok( b.elements[15] == 15*2 );
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});
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test( "determinant", function() {
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var a = new THREE.Matrix4();
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ok( a.determinant() == 1, "Passed!" );
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a.elements[0] = 2;
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ok( a.determinant() == 2, "Passed!" );
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a.elements[0] = 0;
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ok( a.determinant() == 0, "Passed!" );
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// calculated via http://www.euclideanspace.com/maths/algebra/matrix/functions/determinant/fourD/index.htm
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a.set( 2, 3, 4, 5, -1, -21, -3, -4, 6, 7, 8, 10, -8, -9, -10, -12 );
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ok( a.determinant() == 76, "Passed!" );
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});
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test( "getInverse", function() {
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var identity = new THREE.Matrix4();
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var a = new THREE.Matrix4();
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var b = new THREE.Matrix4().set( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 );
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var c = new THREE.Matrix4().set( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 );
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ok( ! matrixEquals4( a, b ), "Passed!" );
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b.getInverse( a, false );
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ok( matrixEquals4( b, new THREE.Matrix4() ), "Passed!" );
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try {
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b.getInverse( c, true );
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ok( false, "Passed!" ); // should never get here.
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}
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catch( err ) {
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ok( true, "Passed!" );
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}
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var testMatrices = [
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new THREE.Matrix4().makeRotationX( 0.3 ),
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new THREE.Matrix4().makeRotationX( -0.3 ),
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new THREE.Matrix4().makeRotationY( 0.3 ),
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new THREE.Matrix4().makeRotationY( -0.3 ),
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new THREE.Matrix4().makeRotationZ( 0.3 ),
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new THREE.Matrix4().makeRotationZ( -0.3 ),
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new THREE.Matrix4().makeScale( 1, 2, 3 ),
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new THREE.Matrix4().makeScale( 1/8, 1/2, 1/3 ),
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new THREE.Matrix4().makeFrustum( -1, 1, -1, 1, 1, 1000 ),
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new THREE.Matrix4().makeFrustum( -16, 16, -9, 9, 0.1, 10000 ),
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new THREE.Matrix4().makeTranslation( 1, 2, 3 )
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];
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for( var i = 0, il = testMatrices.length; i < il; i ++ ) {
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var m = testMatrices[i];
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var mInverse = new THREE.Matrix4().getInverse( m );
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var mSelfInverse = m.clone();
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mSelfInverse.getInverse( mSelfInverse );
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// self-inverse should the same as inverse
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ok( matrixEquals4( mSelfInverse, mInverse ), "Passed!" );
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// the determinant of the inverse should be the reciprocal
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ok( Math.abs( m.determinant() * mInverse.determinant() - 1 ) < 0.0001, "Passed!" );
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var mProduct = new THREE.Matrix4().multiplyMatrices( m, mInverse );
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// the determinant of the identity matrix is 1
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ok( Math.abs( mProduct.determinant() - 1 ) < 0.0001, "Passed!" );
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ok( matrixEquals4( mProduct, identity ), "Passed!" );
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}
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});
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test( "makeBasis/extractBasis", function() {
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var identityBasis = [ new THREE.Vector3( 1, 0, 0 ), new THREE.Vector3( 0, 1, 0 ), new THREE.Vector3( 0, 0, 1 ) ];
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var a = new THREE.Matrix4().makeBasis( identityBasis[0], identityBasis[1], identityBasis[2] );
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var identity = new THREE.Matrix4();
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ok( matrixEquals4( a, identity ), "Passed!" );
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var testBases = [ [ new THREE.Vector3( 0, 1, 0 ), new THREE.Vector3( -1, 0, 0 ), new THREE.Vector3( 0, 0, 1 ) ] ]
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for( var i = 0; i < testBases.length; i ++ ) {
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var testBasis = testBases[i];
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var b = new THREE.Matrix4().makeBasis( testBasis[0], testBasis[1], testBasis[2] );
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var outBasis = [ new THREE.Vector3(), new THREE.Vector3(), new THREE.Vector3() ];
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b.extractBasis( outBasis[0], outBasis[1], outBasis[2] );
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// check what goes in, is what comes out.
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for( var j = 0; j < outBasis.length; j ++ ) {
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console.log( outBasis[j], testBasis[j] );
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ok( outBasis[j].equals( testBasis[j] ), "Passed!" );
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}
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// get the basis out the hard war
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for( var j = 0; j < identityBasis.length; j ++ ) {
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outBasis[j].copy( identityBasis[j] );
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outBasis[j].applyMatrix4( b );
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}
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// did the multiply method of basis extraction work?
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for( var j = 0; j < outBasis.length; j ++ ) {
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ok( outBasis[j].equals( testBasis[j] ), "Passed!" );
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}
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}
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});
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test( "transpose", function() {
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var a = new THREE.Matrix4();
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var b = a.clone().transpose();
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ok( matrixEquals4( a, b ), "Passed!" );
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b = new THREE.Matrix4().set( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
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var c = b.clone().transpose();
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ok( ! matrixEquals4( b, c ), "Passed!" );
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c.transpose();
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ok( matrixEquals4( b, c ), "Passed!" );
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});
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test( "clone", function() {
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var a = new THREE.Matrix4().set( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
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var b = a.clone();
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ok( matrixEquals4( a, b ), "Passed!" );
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// ensure that it is a true copy
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a.elements[0] = 2;
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ok( ! matrixEquals4( a, b ), "Passed!" );
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});
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test( "compose/decompose", function() {
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var tValues = [
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new THREE.Vector3(),
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new THREE.Vector3( 3, 0, 0 ),
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new THREE.Vector3( 0, 4, 0 ),
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new THREE.Vector3( 0, 0, 5 ),
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new THREE.Vector3( -6, 0, 0 ),
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new THREE.Vector3( 0, -7, 0 ),
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new THREE.Vector3( 0, 0, -8 ),
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new THREE.Vector3( -2, 5, -9 ),
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new THREE.Vector3( -2, -5, -9 )
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];
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var sValues = [
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new THREE.Vector3( 1, 1, 1 ),
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new THREE.Vector3( 2, 2, 2 ),
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new THREE.Vector3( 1, -1, 1 ),
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new THREE.Vector3( -1, 1, 1 ),
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new THREE.Vector3( 1, 1, -1 ),
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new THREE.Vector3( 2, -2, 1 ),
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new THREE.Vector3( -1, 2, -2 ),
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new THREE.Vector3( -1, -1, -1 ),
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new THREE.Vector3( -2, -2, -2 )
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];
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var rValues = [
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new THREE.Quaternion(),
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new THREE.Quaternion().setFromEuler( new THREE.Euler( 1, 1, 0 ) ),
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new THREE.Quaternion().setFromEuler( new THREE.Euler( 1, -1, 1 ) ),
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new THREE.Quaternion( 0, 0.9238795292366128, 0, 0.38268342717215614 )
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];
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for( var ti = 0; ti < tValues.length; ti ++ ) {
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for( var si = 0; si < sValues.length; si ++ ) {
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for( var ri = 0; ri < rValues.length; ri ++ ) {
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var t = tValues[ti];
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var s = sValues[si];
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var r = rValues[ri];
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var m = new THREE.Matrix4().compose( t, r, s );
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var t2 = new THREE.Vector3();
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var r2 = new THREE.Quaternion();
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var s2 = new THREE.Vector3();
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m.decompose( t2, r2, s2 );
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var m2 = new THREE.Matrix4().compose( t2, r2, s2 );
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var matrixIsSame = matrixEquals4( m, m2 );
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/* debug code
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if( ! matrixIsSame ) {
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console.log( t, s, r );
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console.log( t2, s2, r2 );
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console.log( m, m2 );
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}*/
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ok( matrixEquals4( m, m2 ), "Passed!" );
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}
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}
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}
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}); |