mirror of
https://github.com/Doodle3D/Doodle3D-Slicer.git
synced 2024-08-21 21:00:45 +02:00
211 lines
5.3 KiB
JavaScript
211 lines
5.3 KiB
JavaScript
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/**
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* @author bhouston / http://exocortex.com
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*/
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module( "Matrix3" );
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var matrixEquals3 = 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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var toMatrix4 = function( m3 ) {
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var result = new THREE.Matrix4();
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var re = result.elements;
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var me = m3.elements;
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re[0] = me[0];
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re[1] = me[1];
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re[2] = me[2];
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re[4] = me[3];
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re[5] = me[4];
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re[6] = me[5];
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re[8] = me[6];
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re[9] = me[7];
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re[10] = me[8];
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return result;
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};
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test( "constructor", function() {
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var a = new THREE.Matrix3();
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ok( a.determinant() == 1, "Passed!" );
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var b = new THREE.Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 );
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ok( b.elements[0] == 0 );
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ok( b.elements[1] == 3 );
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ok( b.elements[2] == 6 );
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ok( b.elements[3] == 1 );
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ok( b.elements[4] == 4 );
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ok( b.elements[5] == 7 );
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ok( b.elements[6] == 2 );
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ok( b.elements[7] == 5 );
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ok( b.elements[8] == 8 );
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ok( ! matrixEquals3( a, b ), "Passed!" );
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});
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test( "copy", function() {
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var a = new THREE.Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 );
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var b = new THREE.Matrix3().copy( a );
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ok( matrixEquals3( 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( ! matrixEquals3( a, b ), "Passed!" );
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});
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test( "set", function() {
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var b = new THREE.Matrix3();
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ok( b.determinant() == 1, "Passed!" );
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b.set( 0, 1, 2, 3, 4, 5, 6, 7, 8 );
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ok( b.elements[0] == 0 );
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ok( b.elements[1] == 3 );
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ok( b.elements[2] == 6 );
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ok( b.elements[3] == 1 );
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ok( b.elements[4] == 4 );
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ok( b.elements[5] == 7 );
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ok( b.elements[6] == 2 );
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ok( b.elements[7] == 5 );
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ok( b.elements[8] == 8 );
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});
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test( "identity", function() {
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var b = new THREE.Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 );
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ok( b.elements[0] == 0 );
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ok( b.elements[1] == 3 );
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ok( b.elements[2] == 6 );
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ok( b.elements[3] == 1 );
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ok( b.elements[4] == 4 );
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ok( b.elements[5] == 7 );
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ok( b.elements[6] == 2 );
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ok( b.elements[7] == 5 );
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ok( b.elements[8] == 8 );
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var a = new THREE.Matrix3();
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ok( ! matrixEquals3( a, b ), "Passed!" );
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b.identity();
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ok( matrixEquals3( a, b ), "Passed!" );
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});
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test( "multiplyScalar", function() {
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var b = new THREE.Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 );
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ok( b.elements[0] == 0 );
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ok( b.elements[1] == 3 );
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ok( b.elements[2] == 6 );
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ok( b.elements[3] == 1 );
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ok( b.elements[4] == 4 );
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ok( b.elements[5] == 7 );
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ok( b.elements[6] == 2 );
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ok( b.elements[7] == 5 );
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ok( b.elements[8] == 8 );
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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] == 3*2 );
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ok( b.elements[2] == 6*2 );
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ok( b.elements[3] == 1*2 );
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ok( b.elements[4] == 4*2 );
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ok( b.elements[5] == 7*2 );
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ok( b.elements[6] == 2*2 );
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ok( b.elements[7] == 5*2 );
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ok( b.elements[8] == 8*2 );
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});
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test( "determinant", function() {
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var a = new THREE.Matrix3();
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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/threeD/index.htm
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a.set( 2, 3, 4, 5, 13, 7, 8, 9, 11 );
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ok( a.determinant() == -73, "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.Matrix3().set( 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 );
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ok( ! matrixEquals3( a, b ), "Passed!" );
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b.getInverse( a, false );
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ok( matrixEquals3( b, new THREE.Matrix3() ), "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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];
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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 mInverse3 = new THREE.Matrix3().getInverse( m );
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var mInverse = toMatrix4( mInverse3 );
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// the determinant of the inverse should be the reciprocal
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ok( Math.abs( m.determinant() * mInverse3.determinant() - 1 ) < 0.0001, "Passed!" );
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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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ok( Math.abs( mProduct.determinant() - 1 ) < 0.0001, "Passed!" );
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ok( matrixEquals3( mProduct, identity ), "Passed!" );
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}
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});
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test( "transpose", function() {
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var a = new THREE.Matrix3();
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var b = a.clone().transpose();
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ok( matrixEquals3( a, b ), "Passed!" );
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b = new THREE.Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 );
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var c = b.clone().transpose();
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ok( ! matrixEquals3( b, c ), "Passed!" );
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c.transpose();
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ok( matrixEquals3( b, c ), "Passed!" );
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});
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test( "clone", function() {
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var a = new THREE.Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 );
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var b = a.clone();
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ok( matrixEquals3( 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( ! matrixEquals3( a, b ), "Passed!" );
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});
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