| [483] | 1 | define(["dojo/_base/lang", "./_base"], function(lang, gfx3d){ |
|---|
| 2 | |
|---|
| 3 | // candidates for dojox.math: |
|---|
| 4 | gfx3d.matrix = { |
|---|
| 5 | _degToRad : function(degree){ return Math.PI * degree / 180; }, |
|---|
| 6 | _radToDeg : function(radian){ return radian / Math.PI * 180; } |
|---|
| 7 | }; |
|---|
| 8 | |
|---|
| 9 | gfx3d.matrix.Matrix3D = function(arg){ |
|---|
| 10 | // summary: |
|---|
| 11 | // a 3D matrix object |
|---|
| 12 | // description: |
|---|
| 13 | // Normalizes a 3D matrix-like object. If arrays is passed, |
|---|
| 14 | // all objects of the array are normalized and multiplied sequentially. |
|---|
| 15 | // arg: Object |
|---|
| 16 | // a 3D matrix-like object, a number, or an array of such objects |
|---|
| 17 | if(arg){ |
|---|
| 18 | if(typeof arg == "number"){ |
|---|
| 19 | this.xx = this.yy = this.zz = arg; |
|---|
| 20 | }else if(arg instanceof Array){ |
|---|
| 21 | if(arg.length > 0){ |
|---|
| 22 | var m = gfx3d.matrix.normalize(arg[0]); |
|---|
| 23 | // combine matrices |
|---|
| 24 | for(var i = 1; i < arg.length; ++i){ |
|---|
| 25 | var l = m; |
|---|
| 26 | var r = gfx3d.matrix.normalize(arg[i]); |
|---|
| 27 | m = new gfx3d.matrix.Matrix3D(); |
|---|
| 28 | m.xx = l.xx * r.xx + l.xy * r.yx + l.xz * r.zx; |
|---|
| 29 | m.xy = l.xx * r.xy + l.xy * r.yy + l.xz * r.zy; |
|---|
| 30 | m.xz = l.xx * r.xz + l.xy * r.yz + l.xz * r.zz; |
|---|
| 31 | m.yx = l.yx * r.xx + l.yy * r.yx + l.yz * r.zx; |
|---|
| 32 | m.yy = l.yx * r.xy + l.yy * r.yy + l.yz * r.zy; |
|---|
| 33 | m.yz = l.yx * r.xz + l.yy * r.yz + l.yz * r.zz; |
|---|
| 34 | m.zx = l.zx * r.xx + l.zy * r.yx + l.zz * r.zx; |
|---|
| 35 | m.zy = l.zx * r.xy + l.zy * r.yy + l.zz * r.zy; |
|---|
| 36 | m.zz = l.zx * r.xz + l.zy * r.yz + l.zz * r.zz; |
|---|
| 37 | m.dx = l.xx * r.dx + l.xy * r.dy + l.xz * r.dz + l.dx; |
|---|
| 38 | m.dy = l.yx * r.dx + l.yy * r.dy + l.yz * r.dz + l.dy; |
|---|
| 39 | m.dz = l.zx * r.dx + l.zy * r.dy + l.zz * r.dz + l.dz; |
|---|
| 40 | } |
|---|
| 41 | lang.mixin(this, m); |
|---|
| 42 | } |
|---|
| 43 | }else{ |
|---|
| 44 | lang.mixin(this, arg); |
|---|
| 45 | } |
|---|
| 46 | } |
|---|
| 47 | }; |
|---|
| 48 | |
|---|
| 49 | // the default (identity) matrix, which is used to fill in missing values |
|---|
| 50 | lang.extend(gfx3d.matrix.Matrix3D, {xx: 1, xy: 0, xz: 0, yx: 0, yy: 1, yz: 0, zx: 0, zy: 0, zz: 1, dx: 0, dy: 0, dz: 0}); |
|---|
| 51 | |
|---|
| 52 | lang.mixin(gfx3d.matrix, { |
|---|
| 53 | // summary: |
|---|
| 54 | // class constants, and methods of dojox.gfx3d.matrix |
|---|
| 55 | |
|---|
| 56 | // matrix constants |
|---|
| 57 | |
|---|
| 58 | // identity: dojox.gfx3d.matrix.Matrix3D |
|---|
| 59 | // an identity matrix constant: identity * (x, y, z) == (x, y, z) |
|---|
| 60 | identity: new gfx3d.matrix.Matrix3D(), |
|---|
| 61 | |
|---|
| 62 | // matrix creators |
|---|
| 63 | |
|---|
| 64 | translate: function(a, b, c){ |
|---|
| 65 | // summary: |
|---|
| 66 | // forms a translation matrix |
|---|
| 67 | // description: |
|---|
| 68 | // The resulting matrix is used to translate (move) points by specified offsets. |
|---|
| 69 | // a: Number|Object |
|---|
| 70 | // an x coordinate value, or a point-like object, which specifies offsets for 3 dimensions |
|---|
| 71 | // b: Number? |
|---|
| 72 | // a y coordinate value |
|---|
| 73 | // c: Number? |
|---|
| 74 | // a z coordinate value |
|---|
| 75 | |
|---|
| 76 | if(arguments.length > 1){ |
|---|
| 77 | return new gfx3d.matrix.Matrix3D({dx: a, dy: b, dz: c}); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 78 | } |
|---|
| 79 | |
|---|
| 80 | return new gfx3d.matrix.Matrix3D({dx: a.x, dy: a.y, dz: a.z}); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 81 | }, |
|---|
| 82 | scale: function(a, b, c){ |
|---|
| 83 | // summary: |
|---|
| 84 | // forms a scaling matrix |
|---|
| 85 | // description: |
|---|
| 86 | // The resulting matrix is used to scale (magnify) points by specified offsets. |
|---|
| 87 | // a: Number|Object |
|---|
| 88 | // a scaling factor used for the x coordinate, or a uniform scaling factor used for the all coordinates, |
|---|
| 89 | // or a point-like object, which specifies scale factors for 3 dimensions |
|---|
| 90 | // b: Number? |
|---|
| 91 | // a scaling factor used for the y coordinate |
|---|
| 92 | // c: Number? |
|---|
| 93 | // a scaling factor used for the z coordinate |
|---|
| 94 | if(arguments.length > 1){ |
|---|
| 95 | return new gfx3d.matrix.Matrix3D({xx: a, yy: b, zz: c}); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 96 | } |
|---|
| 97 | if(typeof a == "number"){ |
|---|
| 98 | return new gfx3d.matrix.Matrix3D({xx: a, yy: a, zz: a}); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 99 | } |
|---|
| 100 | return new gfx3d.matrix.Matrix3D({xx: a.x, yy: a.y, zz: a.z}); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 101 | }, |
|---|
| 102 | rotateX: function(angle){ |
|---|
| 103 | // summary: |
|---|
| 104 | // forms a rotating matrix (about the x axis) |
|---|
| 105 | // description: |
|---|
| 106 | // The resulting matrix is used to rotate points |
|---|
| 107 | // around the origin of coordinates (0, 0) by specified angle. |
|---|
| 108 | // angle: Number |
|---|
| 109 | // an angle of rotation in radians (>0 for CW) |
|---|
| 110 | var c = Math.cos(angle); |
|---|
| 111 | var s = Math.sin(angle); |
|---|
| 112 | return new gfx3d.matrix.Matrix3D({yy: c, yz: -s, zy: s, zz: c}); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 113 | }, |
|---|
| 114 | rotateXg: function(degree){ |
|---|
| 115 | // summary: |
|---|
| 116 | // forms a rotating matrix (about the x axis) |
|---|
| 117 | // description: |
|---|
| 118 | // The resulting matrix is used to rotate points |
|---|
| 119 | // around the origin of coordinates (0, 0) by specified degree. |
|---|
| 120 | // See dojox.gfx3d.matrix.rotateX() for comparison. |
|---|
| 121 | // degree: Number |
|---|
| 122 | // an angle of rotation in degrees (>0 for CW) |
|---|
| 123 | return gfx3d.matrix.rotateX(gfx3d.matrix._degToRad(degree)); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 124 | }, |
|---|
| 125 | rotateY: function(angle){ |
|---|
| 126 | // summary: |
|---|
| 127 | // forms a rotating matrix (about the y axis) |
|---|
| 128 | // description: |
|---|
| 129 | // The resulting matrix is used to rotate points |
|---|
| 130 | // around the origin of coordinates (0, 0) by specified angle. |
|---|
| 131 | // angle: Number |
|---|
| 132 | // an angle of rotation in radians (>0 for CW) |
|---|
| 133 | var c = Math.cos(angle); |
|---|
| 134 | var s = Math.sin(angle); |
|---|
| 135 | return new gfx3d.matrix.Matrix3D({xx: c, xz: s, zx: -s, zz: c}); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 136 | }, |
|---|
| 137 | rotateYg: function(degree){ |
|---|
| 138 | // summary: |
|---|
| 139 | // forms a rotating matrix (about the y axis) |
|---|
| 140 | // description: |
|---|
| 141 | // The resulting matrix is used to rotate points |
|---|
| 142 | // around the origin of coordinates (0, 0) by specified degree. |
|---|
| 143 | // See dojox.gfx3d.matrix.rotateY() for comparison. |
|---|
| 144 | // degree: Number |
|---|
| 145 | // an angle of rotation in degrees (>0 for CW) |
|---|
| 146 | return gfx3d.matrix.rotateY(gfx3d.matrix._degToRad(degree)); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 147 | }, |
|---|
| 148 | rotateZ: function(angle){ |
|---|
| 149 | // summary: |
|---|
| 150 | // forms a rotating matrix (about the z axis) |
|---|
| 151 | // description: |
|---|
| 152 | // The resulting matrix is used to rotate points |
|---|
| 153 | // around the origin of coordinates (0, 0) by specified angle. |
|---|
| 154 | // angle: Number |
|---|
| 155 | // an angle of rotation in radians (>0 for CW) |
|---|
| 156 | var c = Math.cos(angle); |
|---|
| 157 | var s = Math.sin(angle); |
|---|
| 158 | return new gfx3d.matrix.Matrix3D({xx: c, xy: -s, yx: s, yy: c}); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 159 | }, |
|---|
| 160 | rotateZg: function(degree){ |
|---|
| 161 | // summary: |
|---|
| 162 | // forms a rotating matrix (about the z axis) |
|---|
| 163 | // description: |
|---|
| 164 | // The resulting matrix is used to rotate points |
|---|
| 165 | // around the origin of coordinates (0, 0) by specified degree. |
|---|
| 166 | // See dojox.gfx3d.matrix.rotateZ() for comparison. |
|---|
| 167 | // degree: Number |
|---|
| 168 | // an angle of rotation in degrees (>0 for CW) |
|---|
| 169 | return gfx3d.matrix.rotateZ(gfx3d.matrix._degToRad(degree)); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 170 | }, |
|---|
| 171 | |
|---|
| 172 | // camera transformation |
|---|
| 173 | cameraTranslate: function(a, b, c){ |
|---|
| 174 | // summary: |
|---|
| 175 | // forms a translation matrix |
|---|
| 176 | // description: |
|---|
| 177 | // The resulting matrix is used to translate (move) points by specified offsets. |
|---|
| 178 | // a: Number|Object |
|---|
| 179 | // an x coordinate value, or a point-like object, which specifies offsets for 3 dimensions |
|---|
| 180 | // b: Number? |
|---|
| 181 | // a y coordinate value |
|---|
| 182 | // c: Number? |
|---|
| 183 | // a z coordinate value |
|---|
| 184 | if(arguments.length > 1){ |
|---|
| 185 | return new gfx3d.matrix.Matrix3D({dx: -a, dy: -b, dz: -c}); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 186 | } |
|---|
| 187 | return new gfx3d.matrix.Matrix3D({dx: -a.x, dy: -a.y, dz: -a.z}); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 188 | }, |
|---|
| 189 | cameraRotateX: function(angle){ |
|---|
| 190 | // summary: |
|---|
| 191 | // forms a rotating matrix (about the x axis) in cameraTransform manner |
|---|
| 192 | // description: |
|---|
| 193 | // The resulting matrix is used to rotate points |
|---|
| 194 | // around the origin of coordinates (0, 0) by specified angle. |
|---|
| 195 | // angle: Number |
|---|
| 196 | // an angle of rotation in radians (>0 for CW) |
|---|
| 197 | var c = Math.cos(-angle); |
|---|
| 198 | var s = Math.sin(-angle); |
|---|
| 199 | return new gfx3d.matrix.Matrix3D({yy: c, yz: -s, zy: s, zz: c}); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 200 | }, |
|---|
| 201 | cameraRotateXg: function(degree){ |
|---|
| 202 | // summary: |
|---|
| 203 | // forms a rotating matrix (about the x axis)in cameraTransform manner |
|---|
| 204 | // description: |
|---|
| 205 | // The resulting matrix is used to rotate points |
|---|
| 206 | // around the origin of coordinates (0, 0) by specified degree. |
|---|
| 207 | // See dojox.gfx3d.matrix.rotateX() for comparison. |
|---|
| 208 | // degree: Number |
|---|
| 209 | // an angle of rotation in degrees (>0 for CW) |
|---|
| 210 | return gfx3d.matrix.rotateX(gfx3d.matrix._degToRad(degree)); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 211 | }, |
|---|
| 212 | cameraRotateY: function(angle){ |
|---|
| 213 | // summary: |
|---|
| 214 | // forms a rotating matrix (about the y axis) in cameraTransform manner |
|---|
| 215 | // description: |
|---|
| 216 | // The resulting matrix is used to rotate points |
|---|
| 217 | // around the origin of coordinates (0, 0) by specified angle. |
|---|
| 218 | // angle: Number |
|---|
| 219 | // an angle of rotation in radians (>0 for CW) |
|---|
| 220 | var c = Math.cos(-angle); |
|---|
| 221 | var s = Math.sin(-angle); |
|---|
| 222 | return new gfx3d.matrix.Matrix3D({xx: c, xz: s, zx: -s, zz: c}); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 223 | }, |
|---|
| 224 | cameraRotateYg: function(degree){ |
|---|
| 225 | // summary: |
|---|
| 226 | // forms a rotating matrix (about the y axis) in cameraTransform manner |
|---|
| 227 | // description: |
|---|
| 228 | // The resulting matrix is used to rotate points |
|---|
| 229 | // around the origin of coordinates (0, 0) by specified degree. |
|---|
| 230 | // See dojox.gfx3d.matrix.rotateY() for comparison. |
|---|
| 231 | // degree: Number |
|---|
| 232 | // an angle of rotation in degrees (>0 for CW) |
|---|
| 233 | return gfx3d.matrix.rotateY(dojox.gfx3d.matrix._degToRad(degree)); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 234 | }, |
|---|
| 235 | cameraRotateZ: function(angle){ |
|---|
| 236 | // summary: |
|---|
| 237 | // forms a rotating matrix (about the z axis) in cameraTransform manner |
|---|
| 238 | // description: |
|---|
| 239 | // The resulting matrix is used to rotate points |
|---|
| 240 | // around the origin of coordinates (0, 0) by specified angle. |
|---|
| 241 | // angle: Number |
|---|
| 242 | // an angle of rotation in radians (>0 for CW) |
|---|
| 243 | var c = Math.cos(-angle); |
|---|
| 244 | var s = Math.sin(-angle); |
|---|
| 245 | return new gfx3d.matrix.Matrix3D({xx: c, xy: -s, yx: s, yy: c}); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 246 | }, |
|---|
| 247 | cameraRotateZg: function(degree){ |
|---|
| 248 | // summary: |
|---|
| 249 | // forms a rotating matrix (about the z axis) in cameraTransform manner |
|---|
| 250 | // description: |
|---|
| 251 | // The resulting matrix is used to rotate points |
|---|
| 252 | // around the origin of coordinates (0, 0) by specified degree. |
|---|
| 253 | // See dojox.gfx3d.matrix.rotateZ() for comparison. |
|---|
| 254 | // degree: Number |
|---|
| 255 | // an angle of rotation in degrees (>0 for CW) |
|---|
| 256 | return gfx3d.matrix.rotateZ(gfx3d.matrix._degToRad(degree)); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 257 | }, |
|---|
| 258 | |
|---|
| 259 | // ensure matrix 3D conformance |
|---|
| 260 | normalize: function(matrix){ |
|---|
| 261 | // summary: |
|---|
| 262 | // converts an object to a matrix, if necessary |
|---|
| 263 | // description: |
|---|
| 264 | // Converts any 3D matrix-like object or an array of |
|---|
| 265 | // such objects to a valid dojox.gfx3d.matrix.Matrix3D object. |
|---|
| 266 | // matrix: Object |
|---|
| 267 | // an object, which is converted to a matrix, if necessary |
|---|
| 268 | return (matrix instanceof gfx3d.matrix.Matrix3D) ? matrix : new gfx3d.matrix.Matrix3D(matrix); // dojox.gfx3d.matrix.Matrix3D |
|---|
| 269 | }, |
|---|
| 270 | |
|---|
| 271 | // common operations |
|---|
| 272 | |
|---|
| 273 | clone: function(matrix){ |
|---|
| 274 | // summary: |
|---|
| 275 | // creates a copy of a 3D matrix |
|---|
| 276 | // matrix: dojox.gfx3d.matrix.Matrix3D |
|---|
| 277 | // a 3D matrix-like object to be cloned |
|---|
| 278 | var obj = new gfx3d.matrix.Matrix3D(); |
|---|
| 279 | for(var i in matrix){ |
|---|
| 280 | if(typeof(matrix[i]) == "number" && typeof(obj[i]) == "number" && obj[i] != matrix[i]) obj[i] = matrix[i]; |
|---|
| 281 | } |
|---|
| 282 | return obj; // dojox.gfx3d.matrix.Matrix3D |
|---|
| 283 | }, |
|---|
| 284 | invert: function(matrix){ |
|---|
| 285 | // summary: |
|---|
| 286 | // inverts a 2D matrix |
|---|
| 287 | // matrix: dojox.gfx.matrix.Matrix3D |
|---|
| 288 | // a 2D matrix-like object to be inverted |
|---|
| 289 | var m = gfx3d.matrix.normalize(matrix); |
|---|
| 290 | var D = m.xx * m.yy * m.zz + m.xy * m.yz * m.zx + m.xz * m.yx * m.zy - m.xx * m.yz * m.zy - m.xy * m.yx * m.zz - m.xz * m.yy * m.zx; |
|---|
| 291 | var M = new gfx3d.matrix.Matrix3D({ |
|---|
| 292 | xx: (m.yy * m.zz - m.yz * m.zy) / D, |
|---|
| 293 | xy: (m.xz * m.zy - m.xy * m.zz) / D, |
|---|
| 294 | xz: (m.xy * m.yz - m.xz * m.yy) / D, |
|---|
| 295 | yx: (m.yz * m.zx - m.yx * m.zz) / D, |
|---|
| 296 | yy: (m.xx * m.zz - m.xz * m.zx) / D, |
|---|
| 297 | yz: (m.xz * m.yx - m.xx * m.yz) / D, |
|---|
| 298 | zx: (m.yx * m.zy - m.yy * m.zx) / D, |
|---|
| 299 | zy: (m.xy * m.zx - m.xx * m.zy) / D, |
|---|
| 300 | zz: (m.xx * m.yy - m.xy * m.yx) / D, |
|---|
| 301 | dx: -1 * (m.xy * m.yz * m.dz + m.xz * m.dy * m.zy + m.dx * m.yy * m.zz - m.xy * m.dy * m.zz - m.xz * m.yy * m.dz - m.dx * m.yz * m.zy) / D, |
|---|
| 302 | dy: (m.xx * m.yz * m.dz + m.xz * m.dy * m.zx + m.dx * m.yx * m.zz - m.xx * m.dy * m.zz - m.xz * m.yx * m.dz - m.dx * m.yz * m.zx) / D, |
|---|
| 303 | dz: -1 * (m.xx * m.yy * m.dz + m.xy * m.dy * m.zx + m.dx * m.yx * m.zy - m.xx * m.dy * m.zy - m.xy * m.yx * m.dz - m.dx * m.yy * m.zx) / D |
|---|
| 304 | }); |
|---|
| 305 | return M; // dojox.gfx3d.matrix.Matrix3D |
|---|
| 306 | }, |
|---|
| 307 | _multiplyPoint: function(m, x, y, z){ |
|---|
| 308 | // summary: |
|---|
| 309 | // applies a matrix to a point |
|---|
| 310 | // matrix: dojox.gfx3d.matrix.Matrix3D |
|---|
| 311 | // a 3D matrix object to be applied |
|---|
| 312 | // x: Number |
|---|
| 313 | // an x coordinate of a point |
|---|
| 314 | // y: Number |
|---|
| 315 | // a y coordinate of a point |
|---|
| 316 | // z: Number |
|---|
| 317 | // a z coordinate of a point |
|---|
| 318 | return {x: m.xx * x + m.xy * y + m.xz * z + m.dx, y: m.yx * x + m.yy * y + m.yz * z + m.dy, z: m.zx * x + m.zy * y + m.zz * z + m.dz}; // Object |
|---|
| 319 | }, |
|---|
| 320 | multiplyPoint: function(matrix, a, b, c){ |
|---|
| 321 | // summary: |
|---|
| 322 | // applies a matrix to a point |
|---|
| 323 | // matrix: dojox.gfx3d.matrix.Matrix3D |
|---|
| 324 | // a 3D matrix object to be applied |
|---|
| 325 | // a: Number|Object |
|---|
| 326 | // an x coordinate of a point, or an Object specifying the whole point |
|---|
| 327 | // b: Number? |
|---|
| 328 | // a y coordinate of a point |
|---|
| 329 | // c: Number? |
|---|
| 330 | // a z coordinate of a point |
|---|
| 331 | var m = gfx3d.matrix.normalize(matrix); |
|---|
| 332 | if(typeof a == "number" && typeof b == "number" && typeof c == "number"){ |
|---|
| 333 | return gfx3d.matrix._multiplyPoint(m, a, b, c); // Object |
|---|
| 334 | } |
|---|
| 335 | return gfx3d.matrix._multiplyPoint(m, a.x, a.y, a.z); // Object |
|---|
| 336 | }, |
|---|
| 337 | multiply: function(matrix){ |
|---|
| 338 | // summary: |
|---|
| 339 | // combines matrices by multiplying them sequentially in the given order |
|---|
| 340 | // matrix: dojox.gfx3d.matrix.Matrix3D |
|---|
| 341 | // a 3D matrix-like object, |
|---|
| 342 | // all subsequent arguments are matrix-like objects too |
|---|
| 343 | var m = gfx3d.matrix.normalize(matrix); |
|---|
| 344 | // combine matrices |
|---|
| 345 | for(var i = 1; i < arguments.length; ++i){ |
|---|
| 346 | var l = m; |
|---|
| 347 | var r = gfx3d.matrix.normalize(arguments[i]); |
|---|
| 348 | m = new gfx3d.matrix.Matrix3D(); |
|---|
| 349 | m.xx = l.xx * r.xx + l.xy * r.yx + l.xz * r.zx; |
|---|
| 350 | m.xy = l.xx * r.xy + l.xy * r.yy + l.xz * r.zy; |
|---|
| 351 | m.xz = l.xx * r.xz + l.xy * r.yz + l.xz * r.zz; |
|---|
| 352 | m.yx = l.yx * r.xx + l.yy * r.yx + l.yz * r.zx; |
|---|
| 353 | m.yy = l.yx * r.xy + l.yy * r.yy + l.yz * r.zy; |
|---|
| 354 | m.yz = l.yx * r.xz + l.yy * r.yz + l.yz * r.zz; |
|---|
| 355 | m.zx = l.zx * r.xx + l.zy * r.yx + l.zz * r.zx; |
|---|
| 356 | m.zy = l.zx * r.xy + l.zy * r.yy + l.zz * r.zy; |
|---|
| 357 | m.zz = l.zx * r.xz + l.zy * r.yz + l.zz * r.zz; |
|---|
| 358 | m.dx = l.xx * r.dx + l.xy * r.dy + l.xz * r.dz + l.dx; |
|---|
| 359 | m.dy = l.yx * r.dx + l.yy * r.dy + l.yz * r.dz + l.dy; |
|---|
| 360 | m.dz = l.zx * r.dx + l.zy * r.dy + l.zz * r.dz + l.dz; |
|---|
| 361 | } |
|---|
| 362 | return m; // dojox.gfx3d.matrix.Matrix3D |
|---|
| 363 | }, |
|---|
| 364 | |
|---|
| 365 | _project: function(m, x, y, z){ |
|---|
| 366 | // summary: |
|---|
| 367 | // applies a matrix to a point |
|---|
| 368 | // matrix: dojox.gfx3d.matrix.Matrix3D |
|---|
| 369 | // a 3D matrix object to be applied |
|---|
| 370 | // x: Number |
|---|
| 371 | // an x coordinate of a point |
|---|
| 372 | // y: Number |
|---|
| 373 | // a y coordinate of a point |
|---|
| 374 | // z: Number |
|---|
| 375 | // a z coordinate of a point |
|---|
| 376 | return { // Object |
|---|
| 377 | x: m.xx * x + m.xy * y + m.xz * z + m.dx, |
|---|
| 378 | y: m.yx * x + m.yy * y + m.yz * z + m.dy, |
|---|
| 379 | z: m.zx * x + m.zy * y + m.zz * z + m.dz}; |
|---|
| 380 | }, |
|---|
| 381 | project: function(matrix, a, b, c){ |
|---|
| 382 | // summary: |
|---|
| 383 | // applies a matrix to a point |
|---|
| 384 | // matrix: dojox.gfx3d.matrix.Matrix3D |
|---|
| 385 | // a 3D matrix object to be applied |
|---|
| 386 | // a: Number|Point |
|---|
| 387 | // an x coordinate of a point, or an Object specifying the whole point |
|---|
| 388 | // b: Number? |
|---|
| 389 | // a y coordinate of a point |
|---|
| 390 | // c: Number? |
|---|
| 391 | // a z coordinate of a point |
|---|
| 392 | var m = gfx3d.matrix.normalize(matrix); |
|---|
| 393 | if(typeof a == "number" && typeof b == "number" && typeof c == "number"){ |
|---|
| 394 | return gfx3d.matrix._project(m, a, b, c); // Object |
|---|
| 395 | } |
|---|
| 396 | return gfx3d.matrix._project(m, a.x, a.y, a.z); // Object |
|---|
| 397 | } |
|---|
| 398 | }); |
|---|
| 399 | |
|---|
| 400 | // propagate matrix up |
|---|
| 401 | gfx3d.Matrix3D = gfx3d.matrix.Matrix3D; |
|---|
| 402 | |
|---|
| 403 | return gfx3d.matrix; |
|---|
| 404 | }); |
|---|
