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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