[28897] | 1 | /**
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| 2 | * @author bhouston / http://exocortex.com
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| 3 | */
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| 4 |
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| 5 | module( "Matrix4" );
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| 6 |
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| 7 | var matrixEquals4 = function( a, b, tolerance ) {
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| 8 | tolerance = tolerance || 0.0001;
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| 9 | if( a.elements.length != b.elements.length ) {
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| 10 | return false;
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| 11 | }
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| 12 | for( var i = 0, il = a.elements.length; i < il; i ++ ) {
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| 13 | var delta = a.elements[i] - b.elements[i];
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| 14 | if( delta > tolerance ) {
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| 15 | return false;
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| 16 | }
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| 17 | }
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| 18 | return true;
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| 19 | };
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| 20 |
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| 21 | test( "constructor", function() {
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| 22 | var a = new THREE.Matrix4();
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| 23 | ok( a.determinant() == 1, "Passed!" );
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| 24 |
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| 25 | var b = new THREE.Matrix4( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
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| 26 | ok( b.elements[0] == 0 );
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| 27 | ok( b.elements[1] == 4 );
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| 28 | ok( b.elements[2] == 8 );
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| 29 | ok( b.elements[3] == 12 );
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| 30 | ok( b.elements[4] == 1 );
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| 31 | ok( b.elements[5] == 5 );
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| 32 | ok( b.elements[6] == 9 );
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| 33 | ok( b.elements[7] == 13 );
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| 34 | ok( b.elements[8] == 2 );
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| 35 | ok( b.elements[9] == 6 );
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| 36 | ok( b.elements[10] == 10 );
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| 37 | ok( b.elements[11] == 14 );
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| 38 | ok( b.elements[12] == 3 );
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| 39 | ok( b.elements[13] == 7 );
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| 40 | ok( b.elements[14] == 11 );
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| 41 | ok( b.elements[15] == 15 );
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| 42 |
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| 43 | ok( ! matrixEquals4( a, b ), "Passed!" );
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| 44 | });
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| 45 |
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| 46 | test( "copy", function() {
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| 47 | var a = new THREE.Matrix4( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
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| 48 | var b = new THREE.Matrix4().copy( a );
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| 49 |
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| 50 | ok( matrixEquals4( a, b ), "Passed!" );
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| 51 |
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| 52 | // ensure that it is a true copy
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| 53 | a.elements[0] = 2;
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| 54 | ok( ! matrixEquals4( a, b ), "Passed!" );
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| 55 | });
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| 56 |
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| 57 | test( "set", function() {
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| 58 | var b = new THREE.Matrix4();
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| 59 | ok( b.determinant() == 1, "Passed!" );
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| 60 |
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| 61 | b.set( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
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| 62 | ok( b.elements[0] == 0 );
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| 63 | ok( b.elements[1] == 4 );
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| 64 | ok( b.elements[2] == 8 );
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| 65 | ok( b.elements[3] == 12 );
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| 66 | ok( b.elements[4] == 1 );
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| 67 | ok( b.elements[5] == 5 );
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| 68 | ok( b.elements[6] == 9 );
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| 69 | ok( b.elements[7] == 13 );
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| 70 | ok( b.elements[8] == 2 );
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| 71 | ok( b.elements[9] == 6 );
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| 72 | ok( b.elements[10] == 10 );
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| 73 | ok( b.elements[11] == 14 );
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| 74 | ok( b.elements[12] == 3 );
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| 75 | ok( b.elements[13] == 7 );
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| 76 | ok( b.elements[14] == 11 );
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| 77 | ok( b.elements[15] == 15 );
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| 78 | });
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| 79 |
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| 80 | test( "identity", function() {
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| 81 | var b = new THREE.Matrix4( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
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| 82 | ok( b.elements[0] == 0 );
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| 83 | ok( b.elements[1] == 4 );
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| 84 | ok( b.elements[2] == 8 );
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| 85 | ok( b.elements[3] == 12 );
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| 86 | ok( b.elements[4] == 1 );
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| 87 | ok( b.elements[5] == 5 );
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| 88 | ok( b.elements[6] == 9 );
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| 89 | ok( b.elements[7] == 13 );
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| 90 | ok( b.elements[8] == 2 );
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| 91 | ok( b.elements[9] == 6 );
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| 92 | ok( b.elements[10] == 10 );
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| 93 | ok( b.elements[11] == 14 );
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| 94 | ok( b.elements[12] == 3 );
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| 95 | ok( b.elements[13] == 7 );
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| 96 | ok( b.elements[14] == 11 );
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| 97 | ok( b.elements[15] == 15 );
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| 98 |
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| 99 | var a = new THREE.Matrix4();
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| 100 | ok( ! matrixEquals4( a, b ), "Passed!" );
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| 101 |
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| 102 | b.identity();
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| 103 | ok( matrixEquals4( a, b ), "Passed!" );
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| 104 | });
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| 105 |
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| 106 | test( "multiplyScalar", function() {
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| 107 | var b = new THREE.Matrix4( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
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| 108 | ok( b.elements[0] == 0 );
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| 109 | ok( b.elements[1] == 4 );
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| 110 | ok( b.elements[2] == 8 );
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| 111 | ok( b.elements[3] == 12 );
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| 112 | ok( b.elements[4] == 1 );
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| 113 | ok( b.elements[5] == 5 );
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| 114 | ok( b.elements[6] == 9 );
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| 115 | ok( b.elements[7] == 13 );
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| 116 | ok( b.elements[8] == 2 );
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| 117 | ok( b.elements[9] == 6 );
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| 118 | ok( b.elements[10] == 10 );
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| 119 | ok( b.elements[11] == 14 );
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| 120 | ok( b.elements[12] == 3 );
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| 121 | ok( b.elements[13] == 7 );
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| 122 | ok( b.elements[14] == 11 );
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| 123 | ok( b.elements[15] == 15 );
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| 124 |
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| 125 | b.multiplyScalar( 2 );
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| 126 | ok( b.elements[0] == 0*2 );
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| 127 | ok( b.elements[1] == 4*2 );
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| 128 | ok( b.elements[2] == 8*2 );
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| 129 | ok( b.elements[3] == 12*2 );
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| 130 | ok( b.elements[4] == 1*2 );
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| 131 | ok( b.elements[5] == 5*2 );
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| 132 | ok( b.elements[6] == 9*2 );
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| 133 | ok( b.elements[7] == 13*2 );
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| 134 | ok( b.elements[8] == 2*2 );
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| 135 | ok( b.elements[9] == 6*2 );
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| 136 | ok( b.elements[10] == 10*2 );
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| 137 | ok( b.elements[11] == 14*2 );
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| 138 | ok( b.elements[12] == 3*2 );
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| 139 | ok( b.elements[13] == 7*2 );
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| 140 | ok( b.elements[14] == 11*2 );
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| 141 | ok( b.elements[15] == 15*2 );
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| 142 | });
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| 143 |
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| 144 | test( "determinant", function() {
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| 145 | var a = new THREE.Matrix4();
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| 146 | ok( a.determinant() == 1, "Passed!" );
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| 147 |
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| 148 | a.elements[0] = 2;
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| 149 | ok( a.determinant() == 2, "Passed!" );
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| 150 |
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| 151 | a.elements[0] = 0;
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| 152 | ok( a.determinant() == 0, "Passed!" );
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| 153 |
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| 154 | // calculated via http://www.euclideanspace.com/maths/algebra/matrix/functions/determinant/fourD/index.htm
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| 155 | a.set( 2, 3, 4, 5, -1, -21, -3, -4, 6, 7, 8, 10, -8, -9, -10, -12 );
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| 156 | ok( a.determinant() == 76, "Passed!" );
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| 157 | });
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| 158 |
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| 159 | test( "getInverse", function() {
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| 160 | var identity = new THREE.Matrix4();
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| 161 |
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| 162 | var a = new THREE.Matrix4();
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| 163 | var b = new THREE.Matrix4( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 );
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| 164 | var c = new THREE.Matrix4( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 );
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| 165 |
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| 166 | ok( ! matrixEquals4( a, b ), "Passed!" );
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| 167 | b.getInverse( a, false );
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| 168 | ok( matrixEquals4( b, new THREE.Matrix4() ), "Passed!" );
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| 169 |
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| 170 | try {
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| 171 | b.getInverse( c, true );
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| 172 | ok( false, "Passed!" ); // should never get here.
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| 173 | }
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| 174 | catch( err ) {
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| 175 | ok( true, "Passed!" );
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| 176 | }
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| 177 |
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| 178 | var testMatrices = [
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| 179 | new THREE.Matrix4().makeRotationX( 0.3 ),
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| 180 | new THREE.Matrix4().makeRotationX( -0.3 ),
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| 181 | new THREE.Matrix4().makeRotationY( 0.3 ),
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| 182 | new THREE.Matrix4().makeRotationY( -0.3 ),
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| 183 | new THREE.Matrix4().makeRotationZ( 0.3 ),
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| 184 | new THREE.Matrix4().makeRotationZ( -0.3 ),
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| 185 | new THREE.Matrix4().makeScale( 1, 2, 3 ),
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| 186 | new THREE.Matrix4().makeScale( 1/8, 1/2, 1/3 ),
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| 187 | new THREE.Matrix4().makeFrustum( -1, 1, -1, 1, 1, 1000 ),
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| 188 | new THREE.Matrix4().makeFrustum( -16, 16, -9, 9, 0.1, 10000 ),
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| 189 | new THREE.Matrix4().makeTranslation( 1, 2, 3 )
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| 190 | ];
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| 191 |
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| 192 | for( var i = 0, il = testMatrices.length; i < il; i ++ ) {
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| 193 | var m = testMatrices[i];
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| 194 |
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| 195 | var mInverse = new THREE.Matrix4().getInverse( m );
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| 196 | var mSelfInverse = m.clone();
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| 197 | mSelfInverse.getInverse( mSelfInverse );
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| 198 |
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| 199 |
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| 200 | // self-inverse should the same as inverse
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| 201 | ok( matrixEquals4( mSelfInverse, mInverse ), "Passed!" );
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| 202 |
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| 203 | // the determinant of the inverse should be the reciprocal
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| 204 | ok( Math.abs( m.determinant() * mInverse.determinant() - 1 ) < 0.0001, "Passed!" );
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| 205 |
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| 206 | var mProduct = new THREE.Matrix4().multiplyMatrices( m, mInverse );
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| 207 |
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| 208 | // the determinant of the identity matrix is 1
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| 209 | ok( Math.abs( mProduct.determinant() - 1 ) < 0.0001, "Passed!" );
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| 210 | ok( matrixEquals4( mProduct, identity ), "Passed!" );
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| 211 | }
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| 212 | });
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| 213 |
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| 214 | test( "transpose", function() {
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| 215 | var a = new THREE.Matrix4();
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| 216 | var b = a.clone().transpose();
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| 217 | ok( matrixEquals4( a, b ), "Passed!" );
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| 218 |
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| 219 | b = new THREE.Matrix4( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
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| 220 | var c = b.clone().transpose();
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| 221 | ok( ! matrixEquals4( b, c ), "Passed!" );
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| 222 | c.transpose();
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| 223 | ok( matrixEquals4( b, c ), "Passed!" );
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| 224 | });
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| 225 |
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| 226 | test( "clone", function() {
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| 227 | var a = new THREE.Matrix4( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 );
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| 228 | var b = a.clone();
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| 229 |
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| 230 | ok( matrixEquals4( a, b ), "Passed!" );
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| 231 |
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| 232 | // ensure that it is a true copy
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| 233 | a.elements[0] = 2;
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| 234 | ok( ! matrixEquals4( a, b ), "Passed!" );
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| 235 | });
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| 236 |
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| 237 |
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| 238 | test( "compose/decompose", function() {
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| 239 | var tValues = [
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| 240 | new THREE.Vector3(),
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| 241 | new THREE.Vector3( 3, 0, 0 ),
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| 242 | new THREE.Vector3( 0, 4, 0 ),
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| 243 | new THREE.Vector3( 0, 0, 5 ),
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| 244 | new THREE.Vector3( -6, 0, 0 ),
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| 245 | new THREE.Vector3( 0, -7, 0 ),
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| 246 | new THREE.Vector3( 0, 0, -8 ),
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| 247 | new THREE.Vector3( -2, 5, -9 ),
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| 248 | new THREE.Vector3( -2, -5, -9 )
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| 249 | ];
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| 250 |
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| 251 | var sValues = [
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| 252 | new THREE.Vector3( 1, 1, 1 ),
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| 253 | new THREE.Vector3( 2, 2, 2 ),
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| 254 | new THREE.Vector3( 1, -1, 1 ),
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| 255 | new THREE.Vector3( -1, 1, 1 ),
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| 256 | new THREE.Vector3( 1, 1, -1 ),
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| 257 | new THREE.Vector3( 2, -2, 1 ),
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| 258 | new THREE.Vector3( -1, 2, -2 ),
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| 259 | new THREE.Vector3( -1, -1, -1 ),
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| 260 | new THREE.Vector3( -2, -2, -2 )
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| 261 | ];
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| 262 |
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| 263 | var rValues = [
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| 264 | new THREE.Quaternion(),
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| 265 | new THREE.Quaternion().setFromEuler( new THREE.Euler( 1, 1, 0 ) ),
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| 266 | new THREE.Quaternion().setFromEuler( new THREE.Euler( 1, -1, 1 ) ),
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| 267 | new THREE.Quaternion( 0, 0.9238795292366128, 0, 0.38268342717215614 )
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| 268 | ];
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| 269 |
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| 270 |
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| 271 | for( var ti = 0; ti < tValues.length; ti ++ ) {
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| 272 | for( var si = 0; si < sValues.length; si ++ ) {
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| 273 | for( var ri = 0; ri < rValues.length; ri ++ ) {
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| 274 | var t = tValues[ti];
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| 275 | var s = sValues[si];
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| 276 | var r = rValues[ri];
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| 277 |
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| 278 | var m = new THREE.Matrix4().compose( t, r, s );
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| 279 | var t2 = new THREE.Vector3();
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| 280 | var r2 = new THREE.Quaternion();
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| 281 | var s2 = new THREE.Vector3();
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| 282 |
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| 283 | m.decompose( t2, r2, s2 );
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| 284 |
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| 285 | var m2 = new THREE.Matrix4().compose( t2, r2, s2 );
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| 286 |
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| 287 | var matrixIsSame = matrixEquals4( m, m2 );
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| 288 | /* debug code
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| 289 | if( ! matrixIsSame ) {
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| 290 | console.log( t, s, r );
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| 291 | console.log( t2, s2, r2 );
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| 292 | console.log( m, m2 );
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| 293 | }*/
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| 294 | ok( matrixEquals4( m, m2 ), "Passed!" );
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| 295 |
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| 296 | }
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| 297 | }
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| 298 | }
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| 299 | }); |
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