| 1 | /**
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| 2 | * @author supereggbert / http://www.paulbrunt.co.uk/
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| 3 | * @author philogb / http://blog.thejit.org/
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| 4 | * @author mikael emtinger / http://gomo.se/
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| 5 | * @author egraether / http://egraether.com/
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| 6 | * @author WestLangley / http://github.com/WestLangley
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| 7 | */
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| 8 |
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| 9 | THREE.Vector4 = function ( x, y, z, w ) {
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| 10 |
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| 11 | this.x = x || 0;
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| 12 | this.y = y || 0;
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| 13 | this.z = z || 0;
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| 14 | this.w = ( w !== undefined ) ? w : 1;
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| 15 |
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| 16 | };
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| 17 |
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| 18 | THREE.Vector4.prototype = {
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| 19 |
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| 20 | constructor: THREE.Vector4,
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| 21 |
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| 22 | set: function ( x, y, z, w ) {
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| 23 |
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| 24 | this.x = x;
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| 25 | this.y = y;
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| 26 | this.z = z;
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| 27 | this.w = w;
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| 28 |
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| 29 | return this;
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| 30 |
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| 31 | },
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| 32 |
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| 33 | setX: function ( x ) {
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| 34 |
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| 35 | this.x = x;
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| 36 |
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| 37 | return this;
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| 38 |
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| 39 | },
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| 40 |
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| 41 | setY: function ( y ) {
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| 42 |
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| 43 | this.y = y;
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| 44 |
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| 45 | return this;
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| 46 |
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| 47 | },
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| 48 |
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| 49 | setZ: function ( z ) {
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| 50 |
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| 51 | this.z = z;
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| 52 |
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| 53 | return this;
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| 54 |
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| 55 | },
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| 56 |
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| 57 | setW: function ( w ) {
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| 58 |
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| 59 | this.w = w;
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| 60 |
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| 61 | return this;
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| 62 |
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| 63 | },
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| 64 |
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| 65 | setComponent: function ( index, value ) {
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| 66 |
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| 67 | switch ( index ) {
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| 68 |
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| 69 | case 0: this.x = value; break;
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| 70 | case 1: this.y = value; break;
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| 71 | case 2: this.z = value; break;
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| 72 | case 3: this.w = value; break;
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| 73 | default: throw new Error( "index is out of range: " + index );
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| 74 |
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| 75 | }
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| 76 |
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| 77 | },
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| 78 |
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| 79 | getComponent: function ( index ) {
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| 80 |
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| 81 | switch ( index ) {
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| 82 |
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| 83 | case 0: return this.x;
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| 84 | case 1: return this.y;
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| 85 | case 2: return this.z;
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| 86 | case 3: return this.w;
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| 87 | default: throw new Error( "index is out of range: " + index );
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| 88 |
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| 89 | }
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| 90 |
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| 91 | },
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| 92 |
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| 93 | copy: function ( v ) {
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| 94 |
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| 95 | this.x = v.x;
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| 96 | this.y = v.y;
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| 97 | this.z = v.z;
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| 98 | this.w = ( v.w !== undefined ) ? v.w : 1;
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| 99 |
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| 100 | return this;
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| 101 |
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| 102 | },
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| 103 |
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| 104 | add: function ( v, w ) {
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| 105 |
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| 106 | if ( w !== undefined ) {
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| 107 |
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| 108 | console.warn( 'DEPRECATED: Vector4\'s .add() now only accepts one argument. Use .addVectors( a, b ) instead.' );
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| 109 | return this.addVectors( v, w );
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| 110 |
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| 111 | }
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| 112 |
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| 113 | this.x += v.x;
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| 114 | this.y += v.y;
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| 115 | this.z += v.z;
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| 116 | this.w += v.w;
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| 117 |
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| 118 | return this;
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| 119 |
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| 120 | },
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| 121 |
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| 122 | addScalar: function ( s ) {
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| 123 |
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| 124 | this.x += s;
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| 125 | this.y += s;
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| 126 | this.z += s;
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| 127 | this.w += s;
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| 128 |
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| 129 | return this;
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| 130 |
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| 131 | },
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| 132 |
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| 133 | addVectors: function ( a, b ) {
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| 134 |
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| 135 | this.x = a.x + b.x;
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| 136 | this.y = a.y + b.y;
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| 137 | this.z = a.z + b.z;
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| 138 | this.w = a.w + b.w;
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| 139 |
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| 140 | return this;
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| 141 |
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| 142 | },
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| 143 |
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| 144 | sub: function ( v, w ) {
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| 145 |
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| 146 | if ( w !== undefined ) {
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| 147 |
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| 148 | console.warn( 'DEPRECATED: Vector4\'s .sub() now only accepts one argument. Use .subVectors( a, b ) instead.' );
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| 149 | return this.subVectors( v, w );
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| 150 |
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| 151 | }
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| 152 |
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| 153 | this.x -= v.x;
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| 154 | this.y -= v.y;
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| 155 | this.z -= v.z;
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| 156 | this.w -= v.w;
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| 157 |
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| 158 | return this;
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| 159 |
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| 160 | },
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| 161 |
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| 162 | subVectors: function ( a, b ) {
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| 163 |
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| 164 | this.x = a.x - b.x;
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| 165 | this.y = a.y - b.y;
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| 166 | this.z = a.z - b.z;
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| 167 | this.w = a.w - b.w;
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| 168 |
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| 169 | return this;
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| 170 |
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| 171 | },
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| 172 |
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| 173 | multiplyScalar: function ( scalar ) {
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| 174 |
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| 175 | this.x *= scalar;
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| 176 | this.y *= scalar;
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| 177 | this.z *= scalar;
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| 178 | this.w *= scalar;
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| 179 |
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| 180 | return this;
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| 181 |
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| 182 | },
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| 183 |
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| 184 | applyMatrix4: function ( m ) {
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| 185 |
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| 186 | var x = this.x;
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| 187 | var y = this.y;
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| 188 | var z = this.z;
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| 189 | var w = this.w;
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| 190 |
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| 191 | var e = m.elements;
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| 192 |
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| 193 | this.x = e[0] * x + e[4] * y + e[8] * z + e[12] * w;
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| 194 | this.y = e[1] * x + e[5] * y + e[9] * z + e[13] * w;
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| 195 | this.z = e[2] * x + e[6] * y + e[10] * z + e[14] * w;
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| 196 | this.w = e[3] * x + e[7] * y + e[11] * z + e[15] * w;
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| 197 |
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| 198 | return this;
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| 199 |
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| 200 | },
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| 201 |
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| 202 | divideScalar: function ( scalar ) {
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| 203 |
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| 204 | if ( scalar !== 0 ) {
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| 205 |
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| 206 | var invScalar = 1 / scalar;
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| 207 |
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| 208 | this.x *= invScalar;
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| 209 | this.y *= invScalar;
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| 210 | this.z *= invScalar;
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| 211 | this.w *= invScalar;
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| 212 |
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| 213 | } else {
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| 214 |
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| 215 | this.x = 0;
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| 216 | this.y = 0;
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| 217 | this.z = 0;
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| 218 | this.w = 1;
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| 219 |
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| 220 | }
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| 221 |
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| 222 | return this;
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| 223 |
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| 224 | },
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| 225 |
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| 226 | setAxisAngleFromQuaternion: function ( q ) {
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| 227 |
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| 228 | // http://www.euclideanspace.com/maths/geometry/rotations/conversions/quaternionToAngle/index.htm
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| 229 |
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| 230 | // q is assumed to be normalized
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| 231 |
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| 232 | this.w = 2 * Math.acos( q.w );
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| 233 |
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| 234 | var s = Math.sqrt( 1 - q.w * q.w );
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| 235 |
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| 236 | if ( s < 0.0001 ) {
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| 237 |
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| 238 | this.x = 1;
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| 239 | this.y = 0;
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| 240 | this.z = 0;
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| 241 |
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| 242 | } else {
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| 243 |
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| 244 | this.x = q.x / s;
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| 245 | this.y = q.y / s;
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| 246 | this.z = q.z / s;
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| 247 |
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| 248 | }
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| 249 |
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| 250 | return this;
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| 251 |
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| 252 | },
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| 253 |
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| 254 | setAxisAngleFromRotationMatrix: function ( m ) {
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| 255 |
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| 256 | // http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToAngle/index.htm
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| 257 |
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| 258 | // assumes the upper 3x3 of m is a pure rotation matrix (i.e, unscaled)
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| 259 |
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| 260 | var angle, x, y, z, // variables for result
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| 261 | epsilon = 0.01, // margin to allow for rounding errors
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| 262 | epsilon2 = 0.1, // margin to distinguish between 0 and 180 degrees
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| 263 |
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| 264 | te = m.elements,
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| 265 |
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| 266 | m11 = te[0], m12 = te[4], m13 = te[8],
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| 267 | m21 = te[1], m22 = te[5], m23 = te[9],
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| 268 | m31 = te[2], m32 = te[6], m33 = te[10];
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| 269 |
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| 270 | if ( ( Math.abs( m12 - m21 ) < epsilon )
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| 271 | && ( Math.abs( m13 - m31 ) < epsilon )
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| 272 | && ( Math.abs( m23 - m32 ) < epsilon ) ) {
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| 273 |
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| 274 | // singularity found
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| 275 | // first check for identity matrix which must have +1 for all terms
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| 276 | // in leading diagonal and zero in other terms
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| 277 |
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| 278 | if ( ( Math.abs( m12 + m21 ) < epsilon2 )
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| 279 | && ( Math.abs( m13 + m31 ) < epsilon2 )
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| 280 | && ( Math.abs( m23 + m32 ) < epsilon2 )
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| 281 | && ( Math.abs( m11 + m22 + m33 - 3 ) < epsilon2 ) ) {
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| 282 |
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| 283 | // this singularity is identity matrix so angle = 0
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| 284 |
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| 285 | this.set( 1, 0, 0, 0 );
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| 286 |
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| 287 | return this; // zero angle, arbitrary axis
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| 288 |
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| 289 | }
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| 290 |
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| 291 | // otherwise this singularity is angle = 180
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| 292 |
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| 293 | angle = Math.PI;
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| 294 |
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| 295 | var xx = ( m11 + 1 ) / 2;
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| 296 | var yy = ( m22 + 1 ) / 2;
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| 297 | var zz = ( m33 + 1 ) / 2;
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| 298 | var xy = ( m12 + m21 ) / 4;
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| 299 | var xz = ( m13 + m31 ) / 4;
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| 300 | var yz = ( m23 + m32 ) / 4;
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| 301 |
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| 302 | if ( ( xx > yy ) && ( xx > zz ) ) { // m11 is the largest diagonal term
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| 303 |
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| 304 | if ( xx < epsilon ) {
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| 305 |
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| 306 | x = 0;
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| 307 | y = 0.707106781;
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| 308 | z = 0.707106781;
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| 309 |
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| 310 | } else {
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| 311 |
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| 312 | x = Math.sqrt( xx );
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| 313 | y = xy / x;
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| 314 | z = xz / x;
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| 315 |
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| 316 | }
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| 317 |
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| 318 | } else if ( yy > zz ) { // m22 is the largest diagonal term
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| 319 |
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| 320 | if ( yy < epsilon ) {
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| 321 |
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| 322 | x = 0.707106781;
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| 323 | y = 0;
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| 324 | z = 0.707106781;
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| 325 |
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| 326 | } else {
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| 327 |
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| 328 | y = Math.sqrt( yy );
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| 329 | x = xy / y;
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| 330 | z = yz / y;
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| 331 |
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| 332 | }
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| 333 |
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| 334 | } else { // m33 is the largest diagonal term so base result on this
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| 335 |
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| 336 | if ( zz < epsilon ) {
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| 337 |
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| 338 | x = 0.707106781;
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| 339 | y = 0.707106781;
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| 340 | z = 0;
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| 341 |
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| 342 | } else {
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| 343 |
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| 344 | z = Math.sqrt( zz );
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| 345 | x = xz / z;
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| 346 | y = yz / z;
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| 347 |
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| 348 | }
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| 349 |
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| 350 | }
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| 351 |
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| 352 | this.set( x, y, z, angle );
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| 353 |
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| 354 | return this; // return 180 deg rotation
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| 355 |
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| 356 | }
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| 357 |
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| 358 | // as we have reached here there are no singularities so we can handle normally
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| 359 |
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| 360 | var s = Math.sqrt( ( m32 - m23 ) * ( m32 - m23 )
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| 361 | + ( m13 - m31 ) * ( m13 - m31 )
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| 362 | + ( m21 - m12 ) * ( m21 - m12 ) ); // used to normalize
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| 363 |
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| 364 | if ( Math.abs( s ) < 0.001 ) s = 1;
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| 365 |
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| 366 | // prevent divide by zero, should not happen if matrix is orthogonal and should be
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| 367 | // caught by singularity test above, but I've left it in just in case
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| 368 |
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| 369 | this.x = ( m32 - m23 ) / s;
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| 370 | this.y = ( m13 - m31 ) / s;
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| 371 | this.z = ( m21 - m12 ) / s;
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| 372 | this.w = Math.acos( ( m11 + m22 + m33 - 1 ) / 2 );
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| 373 |
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| 374 | return this;
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| 375 |
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| 376 | },
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| 377 |
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| 378 | min: function ( v ) {
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| 379 |
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| 380 | if ( this.x > v.x ) {
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| 381 |
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| 382 | this.x = v.x;
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| 383 |
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| 384 | }
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| 385 |
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| 386 | if ( this.y > v.y ) {
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| 387 |
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| 388 | this.y = v.y;
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| 389 |
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| 390 | }
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| 391 |
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| 392 | if ( this.z > v.z ) {
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| 393 |
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| 394 | this.z = v.z;
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| 395 |
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| 396 | }
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| 397 |
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| 398 | if ( this.w > v.w ) {
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| 399 |
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| 400 | this.w = v.w;
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| 401 |
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| 402 | }
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| 403 |
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| 404 | return this;
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| 405 |
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| 406 | },
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| 407 |
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| 408 | max: function ( v ) {
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| 409 |
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| 410 | if ( this.x < v.x ) {
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| 411 |
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| 412 | this.x = v.x;
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| 413 |
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| 414 | }
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| 415 |
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| 416 | if ( this.y < v.y ) {
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| 417 |
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| 418 | this.y = v.y;
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| 419 |
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| 420 | }
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| 421 |
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| 422 | if ( this.z < v.z ) {
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| 423 |
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| 424 | this.z = v.z;
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| 425 |
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| 426 | }
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| 427 |
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| 428 | if ( this.w < v.w ) {
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| 429 |
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| 430 | this.w = v.w;
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| 431 |
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| 432 | }
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| 433 |
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| 434 | return this;
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| 435 |
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| 436 | },
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| 437 |
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| 438 | clamp: function ( min, max ) {
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| 439 |
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| 440 | // This function assumes min < max, if this assumption isn't true it will not operate correctly
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| 441 |
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| 442 | if ( this.x < min.x ) {
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| 443 |
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| 444 | this.x = min.x;
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| 445 |
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| 446 | } else if ( this.x > max.x ) {
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| 447 |
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| 448 | this.x = max.x;
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| 449 |
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| 450 | }
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| 451 |
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| 452 | if ( this.y < min.y ) {
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| 453 |
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| 454 | this.y = min.y;
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| 455 |
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| 456 | } else if ( this.y > max.y ) {
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| 457 |
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| 458 | this.y = max.y;
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| 459 |
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| 460 | }
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| 461 |
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| 462 | if ( this.z < min.z ) {
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| 463 |
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| 464 | this.z = min.z;
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| 465 |
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| 466 | } else if ( this.z > max.z ) {
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| 467 |
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| 468 | this.z = max.z;
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| 469 |
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| 470 | }
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| 471 |
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| 472 | if ( this.w < min.w ) {
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|---|
| 473 |
|
|---|
| 474 | this.w = min.w;
|
|---|
| 475 |
|
|---|
| 476 | } else if ( this.w > max.w ) {
|
|---|
| 477 |
|
|---|
| 478 | this.w = max.w;
|
|---|
| 479 |
|
|---|
| 480 | }
|
|---|
| 481 |
|
|---|
| 482 | return this;
|
|---|
| 483 |
|
|---|
| 484 | },
|
|---|
| 485 |
|
|---|
| 486 | negate: function() {
|
|---|
| 487 |
|
|---|
| 488 | return this.multiplyScalar( -1 );
|
|---|
| 489 |
|
|---|
| 490 | },
|
|---|
| 491 |
|
|---|
| 492 | dot: function ( v ) {
|
|---|
| 493 |
|
|---|
| 494 | return this.x * v.x + this.y * v.y + this.z * v.z + this.w * v.w;
|
|---|
| 495 |
|
|---|
| 496 | },
|
|---|
| 497 |
|
|---|
| 498 | lengthSq: function () {
|
|---|
| 499 |
|
|---|
| 500 | return this.x * this.x + this.y * this.y + this.z * this.z + this.w * this.w;
|
|---|
| 501 |
|
|---|
| 502 | },
|
|---|
| 503 |
|
|---|
| 504 | length: function () {
|
|---|
| 505 |
|
|---|
| 506 | return Math.sqrt( this.x * this.x + this.y * this.y + this.z * this.z + this.w * this.w );
|
|---|
| 507 |
|
|---|
| 508 | },
|
|---|
| 509 |
|
|---|
| 510 | lengthManhattan: function () {
|
|---|
| 511 |
|
|---|
| 512 | return Math.abs( this.x ) + Math.abs( this.y ) + Math.abs( this.z ) + Math.abs( this.w );
|
|---|
| 513 |
|
|---|
| 514 | },
|
|---|
| 515 |
|
|---|
| 516 | normalize: function () {
|
|---|
| 517 |
|
|---|
| 518 | return this.divideScalar( this.length() );
|
|---|
| 519 |
|
|---|
| 520 | },
|
|---|
| 521 |
|
|---|
| 522 | setLength: function ( l ) {
|
|---|
| 523 |
|
|---|
| 524 | var oldLength = this.length();
|
|---|
| 525 |
|
|---|
| 526 | if ( oldLength !== 0 && l !== oldLength ) {
|
|---|
| 527 |
|
|---|
| 528 | this.multiplyScalar( l / oldLength );
|
|---|
| 529 |
|
|---|
| 530 | }
|
|---|
| 531 |
|
|---|
| 532 | return this;
|
|---|
| 533 |
|
|---|
| 534 | },
|
|---|
| 535 |
|
|---|
| 536 | lerp: function ( v, alpha ) {
|
|---|
| 537 |
|
|---|
| 538 | this.x += ( v.x - this.x ) * alpha;
|
|---|
| 539 | this.y += ( v.y - this.y ) * alpha;
|
|---|
| 540 | this.z += ( v.z - this.z ) * alpha;
|
|---|
| 541 | this.w += ( v.w - this.w ) * alpha;
|
|---|
| 542 |
|
|---|
| 543 | return this;
|
|---|
| 544 |
|
|---|
| 545 | },
|
|---|
| 546 |
|
|---|
| 547 | equals: function ( v ) {
|
|---|
| 548 |
|
|---|
| 549 | return ( ( v.x === this.x ) && ( v.y === this.y ) && ( v.z === this.z ) && ( v.w === this.w ) );
|
|---|
| 550 |
|
|---|
| 551 | },
|
|---|
| 552 |
|
|---|
| 553 | fromArray: function ( array ) {
|
|---|
| 554 |
|
|---|
| 555 | this.x = array[ 0 ];
|
|---|
| 556 | this.y = array[ 1 ];
|
|---|
| 557 | this.z = array[ 2 ];
|
|---|
| 558 | this.w = array[ 3 ];
|
|---|
| 559 |
|
|---|
| 560 | return this;
|
|---|
| 561 |
|
|---|
| 562 | },
|
|---|
| 563 |
|
|---|
| 564 | toArray: function () {
|
|---|
| 565 |
|
|---|
| 566 | return [ this.x, this.y, this.z, this.w ];
|
|---|
| 567 |
|
|---|
| 568 | },
|
|---|
| 569 |
|
|---|
| 570 | clone: function () {
|
|---|
| 571 |
|
|---|
| 572 | return new THREE.Vector4( this.x, this.y, this.z, this.w );
|
|---|
| 573 |
|
|---|
| 574 | }
|
|---|
| 575 |
|
|---|
| 576 | };
|
|---|
