| New file |
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| 0,0 → 1,339 |
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| if(!dojo._hasResource["dojox.gfx3d.matrix"]){ //_hasResource checks added by build. Do not use _hasResource directly in your code. |
| dojo._hasResource["dojox.gfx3d.matrix"] = true; |
| dojo.provide("dojox.gfx3d.matrix"); |
| |
| // candidates for dojox.math: |
| dojox.gfx3d.matrix._degToRad = function(degree){ return Math.PI * degree / 180; }; |
| dojox.gfx3d.matrix._radToDeg = function(radian){ return radian / Math.PI * 180; }; |
| |
| dojox.gfx3d.matrix.Matrix3D = function(arg){ |
| // summary: a 3D matrix object |
| // description: Normalizes a 3D matrix-like object. If arrays is passed, |
| // all objects of the array are normalized and multiplied sequentially. |
| // arg: Object |
| // a 3D matrix-like object, a number, or an array of such objects |
| if(arg){ |
| if(typeof arg == "number"){ |
| this.xx = this.yy = this.zz = arg; |
| }else if(arg instanceof Array){ |
| if(arg.length > 0){ |
| var m = dojox.gfx3d.matrix.normalize(arg[0]); |
| // combine matrices |
| for(var i = 1; i < arg.length; ++i){ |
| var l = m; |
| var r = dojox.gfx3d.matrix.normalize(arg[i]); |
| m = new dojox.gfx3d.matrix.Matrix3D(); |
| m.xx = l.xx * r.xx + l.xy * r.yx + l.xz * r.zx; |
| m.xy = l.xx * r.xy + l.xy * r.yy + l.xz * r.zy; |
| m.xz = l.xx * r.xz + l.xy * r.yz + l.xz * r.zz; |
| m.yx = l.yx * r.xx + l.yy * r.yx + l.yz * r.zx; |
| m.yy = l.yx * r.xy + l.yy * r.yy + l.yz * r.zy; |
| m.yz = l.yx * r.xz + l.yy * r.yz + l.yz * r.zz; |
| m.zx = l.zx * r.xx + l.zy * r.yx + l.zz * r.zx; |
| m.zy = l.zx * r.xy + l.zy * r.yy + l.zz * r.zy; |
| m.zz = l.zx * r.xz + l.zy * r.yz + l.zz * r.zz; |
| m.dx = l.xx * r.dx + l.xy * r.dy + l.xz * r.dz + l.dx; |
| m.dy = l.yx * r.dx + l.yy * r.dy + l.yz * r.dz + l.dy; |
| m.dz = l.zx * r.dx + l.zy * r.dy + l.zz * r.dz + l.dz; |
| } |
| dojo.mixin(this, m); |
| } |
| }else{ |
| dojo.mixin(this, arg); |
| } |
| } |
| }; |
| |
| // the default (identity) matrix, which is used to fill in missing values |
| dojo.extend(dojox.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}); |
| |
| dojo.mixin(dojox.gfx3d.matrix, { |
| // summary: class constants, and methods of dojox.gfx3d.matrix |
| |
| // matrix constants |
| |
| // identity: dojox.gfx3d.matrix.Matrix3D |
| // an identity matrix constant: identity * (x, y, z) == (x, y, z) |
| identity: new dojox.gfx3d.matrix.Matrix3D(), |
| |
| // matrix creators |
| |
| translate: function(a, b, c){ |
| // summary: forms a translation matrix |
| // description: The resulting matrix is used to translate (move) points by specified offsets. |
| // a: Number: an x coordinate value |
| // b: Number: a y coordinate value |
| // c: Number: a z coordinate value |
| if(arguments.length > 1){ |
| return new dojox.gfx3d.matrix.Matrix3D({dx: a, dy: b, dz: c}); // dojox.gfx3d.matrix.Matrix3D |
| } |
| // branch |
| // a: Object: a point-like object, which specifies offsets for 3 dimensions |
| // b: null |
| return new dojox.gfx3d.matrix.Matrix3D({dx: a.x, dy: a.y, dz: a.z}); // dojox.gfx3d.matrix.Matrix3D |
| }, |
| scale: function(a, b, c){ |
| // summary: forms a scaling matrix |
| // description: The resulting matrix is used to scale (magnify) points by specified offsets. |
| // a: Number: a scaling factor used for the x coordinate |
| // b: Number: a scaling factor used for the y coordinate |
| // c: Number: a scaling factor used for the z coordinate |
| if(arguments.length > 1){ |
| return new dojox.gfx3d.matrix.Matrix3D({xx: a, yy: b, zz: c}); // dojox.gfx3d.matrix.Matrix3D |
| } |
| if(typeof a == "number"){ |
| // branch |
| // a: Number: a uniform scaling factor used for the all coordinates |
| // b: null |
| return new dojox.gfx3d.matrix.Matrix3D({xx: a, yy: a, zz: a}); // dojox.gfx3d.matrix.Matrix3D |
| } |
| // branch |
| // a: Object: a point-like object, which specifies scale factors for 3 dimensions |
| // b: null |
| return new dojox.gfx3d.matrix.Matrix3D({xx: a.x, yy: a.y, zz: a.z}); // dojox.gfx3d.matrix.Matrix3D |
| }, |
| rotateX: function(angle){ |
| // summary: forms a rotating matrix (about the x axis) |
| // description: The resulting matrix is used to rotate points |
| // around the origin of coordinates (0, 0) by specified angle. |
| // angle: Number: an angle of rotation in radians (>0 for CW) |
| var c = Math.cos(angle); |
| var s = Math.sin(angle); |
| return new dojox.gfx3d.matrix.Matrix3D({yy: c, yz: -s, zy: s, zz: c}); // dojox.gfx3d.matrix.Matrix3D |
| }, |
| rotateXg: function(degree){ |
| // summary: forms a rotating matrix (about the x axis) |
| // description: The resulting matrix is used to rotate points |
| // around the origin of coordinates (0, 0) by specified degree. |
| // See dojox.gfx3d.matrix.rotateX() for comparison. |
| // degree: Number: an angle of rotation in degrees (>0 for CW) |
| return dojox.gfx3d.matrix.rotateX(dojox.gfx3d.matrix._degToRad(degree)); // dojox.gfx3d.matrix.Matrix3D |
| }, |
| rotateY: function(angle){ |
| // summary: forms a rotating matrix (about the y axis) |
| // description: The resulting matrix is used to rotate points |
| // around the origin of coordinates (0, 0) by specified angle. |
| // angle: Number: an angle of rotation in radians (>0 for CW) |
| var c = Math.cos(angle); |
| var s = Math.sin(angle); |
| return new dojox.gfx3d.matrix.Matrix3D({xx: c, xz: s, zx: -s, zz: c}); // dojox.gfx3d.matrix.Matrix3D |
| }, |
| rotateYg: function(degree){ |
| // summary: forms a rotating matrix (about the y axis) |
| // description: The resulting matrix is used to rotate points |
| // around the origin of coordinates (0, 0) by specified degree. |
| // See dojox.gfx3d.matrix.rotateY() for comparison. |
| // degree: Number: an angle of rotation in degrees (>0 for CW) |
| return dojox.gfx3d.matrix.rotateY(dojox.gfx3d.matrix._degToRad(degree)); // dojox.gfx3d.matrix.Matrix3D |
| }, |
| rotateZ: function(angle){ |
| // summary: forms a rotating matrix (about the z axis) |
| // description: The resulting matrix is used to rotate points |
| // around the origin of coordinates (0, 0) by specified angle. |
| // angle: Number: an angle of rotation in radians (>0 for CW) |
| var c = Math.cos(angle); |
| var s = Math.sin(angle); |
| return new dojox.gfx3d.matrix.Matrix3D({xx: c, xy: -s, yx: s, yy: c}); // dojox.gfx3d.matrix.Matrix3D |
| }, |
| rotateZg: function(degree){ |
| // summary: forms a rotating matrix (about the z axis) |
| // description: The resulting matrix is used to rotate points |
| // around the origin of coordinates (0, 0) by specified degree. |
| // See dojox.gfx3d.matrix.rotateZ() for comparison. |
| // degree: Number: an angle of rotation in degrees (>0 for CW) |
| return dojox.gfx3d.matrix.rotateZ(dojox.gfx3d.matrix._degToRad(degree)); // dojox.gfx3d.matrix.Matrix3D |
| }, |
| |
| // camera transformation |
| cameraTranslate: function(a, b, c){ |
| // summary: forms a translation matrix |
| // description: The resulting matrix is used to translate (move) points by specified offsets. |
| // a: Number: an x coordinate value |
| // b: Number: a y coordinate value |
| // c: Number: a z coordinate value |
| if(arguments.length > 1){ |
| return new dojox.gfx3d.matrix.Matrix3D({dx: -a, dy: -b, dz: -c}); // dojox.gfx3d.matrix.Matrix3D |
| } |
| // branch |
| // a: Object: a point-like object, which specifies offsets for 3 dimensions |
| // b: null |
| return new dojox.gfx3d.matrix.Matrix3D({dx: -a.x, dy: -a.y, dz: -a.z}); // dojox.gfx3d.matrix.Matrix3D |
| }, |
| cameraRotateX: function(angle){ |
| // summary: forms a rotating matrix (about the x axis) in cameraTransform manner |
| // description: The resulting matrix is used to rotate points |
| // around the origin of coordinates (0, 0) by specified angle. |
| // angle: Number: an angle of rotation in radians (>0 for CW) |
| var c = Math.cos(-angle); |
| var s = Math.sin(-angle); |
| return new dojox.gfx3d.matrix.Matrix3D({yy: c, yz: -s, zy: s, zz: c}); // dojox.gfx3d.matrix.Matrix3D |
| }, |
| cameraRotateXg: function(degree){ |
| // summary: forms a rotating matrix (about the x axis)in cameraTransform manner |
| // description: The resulting matrix is used to rotate points |
| // around the origin of coordinates (0, 0) by specified degree. |
| // See dojox.gfx3d.matrix.rotateX() for comparison. |
| // degree: Number: an angle of rotation in degrees (>0 for CW) |
| return dojox.gfx3d.matrix.rotateX(dojox.gfx3d.matrix._degToRad(degree)); // dojox.gfx3d.matrix.Matrix3D |
| }, |
| cameraRotateY: function(angle){ |
| // summary: forms a rotating matrix (about the y axis) in cameraTransform manner |
| // description: The resulting matrix is used to rotate points |
| // around the origin of coordinates (0, 0) by specified angle. |
| // angle: Number: an angle of rotation in radians (>0 for CW) |
| var c = Math.cos(-angle); |
| var s = Math.sin(-angle); |
| return new dojox.gfx3d.matrix.Matrix3D({xx: c, xz: s, zx: -s, zz: c}); // dojox.gfx3d.matrix.Matrix3D |
| }, |
| cameraRotateYg: function(degree){ |
| // summary: forms a rotating matrix (about the y axis) in cameraTransform manner |
| // description: The resulting matrix is used to rotate points |
| // around the origin of coordinates (0, 0) by specified degree. |
| // See dojox.gfx3d.matrix.rotateY() for comparison. |
| // degree: Number: an angle of rotation in degrees (>0 for CW) |
| return dojox.gfx3d.matrix.rotateY(dojox.gfx3d.matrix._degToRad(degree)); // dojox.gfx3d.matrix.Matrix3D |
| }, |
| cameraRotateZ: function(angle){ |
| // summary: forms a rotating matrix (about the z axis) in cameraTransform manner |
| // description: The resulting matrix is used to rotate points |
| // around the origin of coordinates (0, 0) by specified angle. |
| // angle: Number: an angle of rotation in radians (>0 for CW) |
| var c = Math.cos(-angle); |
| var s = Math.sin(-angle); |
| return new dojox.gfx3d.matrix.Matrix3D({xx: c, xy: -s, yx: s, yy: c}); // dojox.gfx3d.matrix.Matrix3D |
| }, |
| cameraRotateZg: function(degree){ |
| // summary: forms a rotating matrix (about the z axis) in cameraTransform manner |
| // description: The resulting matrix is used to rotate points |
| // around the origin of coordinates (0, 0) by specified degree. |
| // See dojox.gfx3d.matrix.rotateZ() for comparison. |
| // degree: Number: an angle of rotation in degrees (>0 for CW) |
| return dojox.gfx3d.matrix.rotateZ(dojox.gfx3d.matrix._degToRad(degree)); // dojox.gfx3d.matrix.Matrix3D |
| }, |
| |
| // ensure matrix 3D conformance |
| normalize: function(matrix){ |
| // summary: converts an object to a matrix, if necessary |
| // description: Converts any 3D matrix-like object or an array of |
| // such objects to a valid dojox.gfx3d.matrix.Matrix3D object. |
| // matrix: Object: an object, which is converted to a matrix, if necessary |
| return (matrix instanceof dojox.gfx3d.matrix.Matrix3D) ? matrix : new dojox.gfx3d.matrix.Matrix3D(matrix); // dojox.gfx3d.matrix.Matrix3D |
| }, |
| |
| // common operations |
| |
| clone: function(matrix){ |
| // summary: creates a copy of a 3D matrix |
| // matrix: dojox.gfx3d.matrix.Matrix3D: a 3D matrix-like object to be cloned |
| var obj = new dojox.gfx3d.matrix.Matrix3D(); |
| for(var i in matrix){ |
| if(typeof(matrix[i]) == "number" && typeof(obj[i]) == "number" && obj[i] != matrix[i]) obj[i] = matrix[i]; |
| } |
| return obj; // dojox.gfx3d.matrix.Matrix3D |
| }, |
| invert: function(matrix){ |
| // summary: inverts a 2D matrix |
| // matrix: dojox.gfx.matrix.Matrix3D: a 2D matrix-like object to be inverted |
| var m = dojox.gfx3d.matrix.normalize(matrix); |
| 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; |
| var M = new dojox.gfx3d.matrix.Matrix3D({ |
| xx: (m.yy * m.zz - m.yz * m.zy) / D, |
| xy: (m.xz * m.zy - m.xy * m.zz) / D, |
| xz: (m.xy * m.yz - m.xz * m.yy) / D, |
| yx: (m.yz * m.zx - m.yx * m.zz) / D, |
| yy: (m.xx * m.zz - m.xz * m.zx) / D, |
| yz: (m.xz * m.yx - m.xx * m.yz) / D, |
| zx: (m.yx * m.zy - m.yy * m.zx) / D, |
| zy: (m.xy * m.zx - m.xx * m.zy) / D, |
| zz: (m.xx * m.yy - m.xy * m.yx) / D, |
| 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, |
| 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, |
| 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 |
| }); |
| return M; // dojox.gfx3d.matrix.Matrix3D |
| }, |
| _multiplyPoint: function(m, x, y, z){ |
| // summary: applies a matrix to a point |
| // matrix: dojox.gfx3d.matrix.Matrix3D: a 3D matrix object to be applied |
| // x: Number: an x coordinate of a point |
| // y: Number: a y coordinate of a point |
| // z: Number: a z coordinate of a point |
| 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 |
| }, |
| multiplyPoint: function(matrix, /* Number||Point */ a, /* Number, optional */ b, /* Number, optional */ c){ |
| // summary: applies a matrix to a point |
| // matrix: dojox.gfx3d.matrix.Matrix3D: a 3D matrix object to be applied |
| // a: Number: an x coordinate of a point |
| // b: Number: a y coordinate of a point |
| // c: Number: a z coordinate of a point |
| var m = dojox.gfx3d.matrix.normalize(matrix); |
| if(typeof a == "number" && typeof b == "number" && typeof c == "number"){ |
| return dojox.gfx3d.matrix._multiplyPoint(m, a, b, c); // Object |
| } |
| // branch |
| // matrix: dojox.gfx3d.matrix.Matrix3D: a 3D matrix object to be applied |
| // a: Object: a point |
| // b: null |
| // c: null |
| return dojox.gfx3d.matrix._multiplyPoint(m, a.x, a.y, a.z); // Object |
| }, |
| multiply: function(matrix){ |
| // summary: combines matrices by multiplying them sequentially in the given order |
| // matrix: dojox.gfx3d.matrix.Matrix3D...: a 3D matrix-like object, |
| // all subsequent arguments are matrix-like objects too |
| var m = dojox.gfx3d.matrix.normalize(matrix); |
| // combine matrices |
| for(var i = 1; i < arguments.length; ++i){ |
| var l = m; |
| var r = dojox.gfx3d.matrix.normalize(arguments[i]); |
| m = new dojox.gfx3d.matrix.Matrix3D(); |
| m.xx = l.xx * r.xx + l.xy * r.yx + l.xz * r.zx; |
| m.xy = l.xx * r.xy + l.xy * r.yy + l.xz * r.zy; |
| m.xz = l.xx * r.xz + l.xy * r.yz + l.xz * r.zz; |
| m.yx = l.yx * r.xx + l.yy * r.yx + l.yz * r.zx; |
| m.yy = l.yx * r.xy + l.yy * r.yy + l.yz * r.zy; |
| m.yz = l.yx * r.xz + l.yy * r.yz + l.yz * r.zz; |
| m.zx = l.zx * r.xx + l.zy * r.yx + l.zz * r.zx; |
| m.zy = l.zx * r.xy + l.zy * r.yy + l.zz * r.zy; |
| m.zz = l.zx * r.xz + l.zy * r.yz + l.zz * r.zz; |
| m.dx = l.xx * r.dx + l.xy * r.dy + l.xz * r.dz + l.dx; |
| m.dy = l.yx * r.dx + l.yy * r.dy + l.yz * r.dz + l.dy; |
| m.dz = l.zx * r.dx + l.zy * r.dy + l.zz * r.dz + l.dz; |
| } |
| return m; // dojox.gfx3d.matrix.Matrix3D |
| }, |
| |
| _project: function(m, x, y, z){ |
| // summary: applies a matrix to a point |
| // matrix: dojox.gfx3d.matrix.Matrix3D: a 3D matrix object to be applied |
| // x: Number: an x coordinate of a point |
| // y: Number: a y coordinate of a point |
| // z: Number: a z coordinate of a point |
| return { // Object |
| 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}; |
| }, |
| project: function(matrix, /* Number||Point */ a, /* Number, optional */ b, /* Number, optional */ c){ |
| // summary: applies a matrix to a point |
| // matrix: dojox.gfx3d.matrix.Matrix3D: a 3D matrix object to be applied |
| // a: Number: an x coordinate of a point |
| // b: Number: a y coordinate of a point |
| // c: Number: a z coordinate of a point |
| var m = dojox.gfx3d.matrix.normalize(matrix); |
| if(typeof a == "number" && typeof b == "number" && typeof c == "number"){ |
| return dojox.gfx3d.matrix._project(m, a, b, c); // Object |
| } |
| // branch |
| // matrix: dojox.gfx3d.matrix.Matrix3D: a 3D matrix object to be applied |
| // a: Object: a point |
| // b: null |
| // c: null |
| return dojox.gfx3d.matrix._project(m, a.x, a.y, a.z); // Object |
| } |
| }); |
| |
| // propagate matrix up |
| dojox.gfx3d.Matrix3D = dojox.gfx3d.matrix.Matrix3D; |
| |
| } |