diff options
Diffstat (limited to 'includes/js/dojox/gfx/matrix.js')
| -rw-r--r-- | includes/js/dojox/gfx/matrix.js | 444 |
1 files changed, 444 insertions, 0 deletions
diff --git a/includes/js/dojox/gfx/matrix.js b/includes/js/dojox/gfx/matrix.js new file mode 100644 index 0000000..f3402b1 --- /dev/null +++ b/includes/js/dojox/gfx/matrix.js @@ -0,0 +1,444 @@ +if(!dojo._hasResource["dojox.gfx.matrix"]){ //_hasResource checks added by build. Do not use _hasResource directly in your code. +dojo._hasResource["dojox.gfx.matrix"] = true; +dojo.provide("dojox.gfx.matrix"); + +(function(){ + var m = dojox.gfx.matrix; + + // candidates for dojox.math: + m._degToRad = function(degree){ return Math.PI * degree / 180; }; + m._radToDeg = function(radian){ return radian / Math.PI * 180; }; + + m.Matrix2D = function(arg){ + // summary: a 2D matrix object + // description: Normalizes a 2D matrix-like object. If arrays is passed, + // all objects of the array are normalized and multiplied sequentially. + // arg: Object + // a 2D matrix-like object, a number, or an array of such objects + if(arg){ + if(typeof arg == "number"){ + this.xx = this.yy = arg; + }else if(arg instanceof Array){ + if(arg.length > 0){ + var matrix = m.normalize(arg[0]); + // combine matrices + for(var i = 1; i < arg.length; ++i){ + var l = matrix, r = dojox.gfx.matrix.normalize(arg[i]); + matrix = new m.Matrix2D(); + matrix.xx = l.xx * r.xx + l.xy * r.yx; + matrix.xy = l.xx * r.xy + l.xy * r.yy; + matrix.yx = l.yx * r.xx + l.yy * r.yx; + matrix.yy = l.yx * r.xy + l.yy * r.yy; + matrix.dx = l.xx * r.dx + l.xy * r.dy + l.dx; + matrix.dy = l.yx * r.dx + l.yy * r.dy + l.dy; + } + dojo.mixin(this, matrix); + } + }else{ + dojo.mixin(this, arg); + } + } + }; + + // the default (identity) matrix, which is used to fill in missing values + dojo.extend(m.Matrix2D, {xx: 1, xy: 0, yx: 0, yy: 1, dx: 0, dy: 0}); + + dojo.mixin(m, { + // summary: class constants, and methods of dojox.gfx.matrix + + // matrix constants + + // identity: dojox.gfx.matrix.Matrix2D + // an identity matrix constant: identity * (x, y) == (x, y) + identity: new m.Matrix2D(), + + // flipX: dojox.gfx.matrix.Matrix2D + // a matrix, which reflects points at x = 0 line: flipX * (x, y) == (-x, y) + flipX: new m.Matrix2D({xx: -1}), + + // flipY: dojox.gfx.matrix.Matrix2D + // a matrix, which reflects points at y = 0 line: flipY * (x, y) == (x, -y) + flipY: new m.Matrix2D({yy: -1}), + + // flipXY: dojox.gfx.matrix.Matrix2D + // a matrix, which reflects points at the origin of coordinates: flipXY * (x, y) == (-x, -y) + flipXY: new m.Matrix2D({xx: -1, yy: -1}), + + // matrix creators + + translate: function(a, b){ + // 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 + if(arguments.length > 1){ + return new m.Matrix2D({dx: a, dy: b}); // dojox.gfx.matrix.Matrix2D + } + // branch + // a: dojox.gfx.Point: a point-like object, which specifies offsets for both dimensions + // b: null + return new m.Matrix2D({dx: a.x, dy: a.y}); // dojox.gfx.matrix.Matrix2D + }, + scale: function(a, b){ + // 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 + if(arguments.length > 1){ + return new m.Matrix2D({xx: a, yy: b}); // dojox.gfx.matrix.Matrix2D + } + if(typeof a == "number"){ + // branch + // a: Number: a uniform scaling factor used for the both coordinates + // b: null + return new m.Matrix2D({xx: a, yy: a}); // dojox.gfx.matrix.Matrix2D + } + // branch + // a: dojox.gfx.Point: a point-like object, which specifies scale factors for both dimensions + // b: null + return new m.Matrix2D({xx: a.x, yy: a.y}); // dojox.gfx.matrix.Matrix2D + }, + rotate: function(angle){ + // summary: forms a rotating matrix + // 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 m.Matrix2D({xx: c, xy: -s, yx: s, yy: c}); // dojox.gfx.matrix.Matrix2D + }, + rotateg: function(degree){ + // summary: forms a rotating matrix + // description: The resulting matrix is used to rotate points + // around the origin of coordinates (0, 0) by specified degree. + // See dojox.gfx.matrix.rotate() for comparison. + // degree: Number: an angle of rotation in degrees (>0 for CW) + return m.rotate(m._degToRad(degree)); // dojox.gfx.matrix.Matrix2D + }, + skewX: function(angle) { + // summary: forms an x skewing matrix + // description: The resulting matrix is used to skew points in the x dimension + // around the origin of coordinates (0, 0) by specified angle. + // angle: Number: an skewing angle in radians + return new m.Matrix2D({xy: -Math.tan(angle)}); // dojox.gfx.matrix.Matrix2D + }, + skewXg: function(degree){ + // summary: forms an x skewing matrix + // description: The resulting matrix is used to skew points in the x dimension + // around the origin of coordinates (0, 0) by specified degree. + // See dojox.gfx.matrix.skewX() for comparison. + // degree: Number: an skewing angle in degrees + return m.skewX(m._degToRad(degree)); // dojox.gfx.matrix.Matrix2D + }, + skewY: function(angle){ + // summary: forms a y skewing matrix + // description: The resulting matrix is used to skew points in the y dimension + // around the origin of coordinates (0, 0) by specified angle. + // angle: Number: an skewing angle in radians + return new m.Matrix2D({yx: Math.tan(angle)}); // dojox.gfx.matrix.Matrix2D + }, + skewYg: function(degree){ + // summary: forms a y skewing matrix + // description: The resulting matrix is used to skew points in the y dimension + // around the origin of coordinates (0, 0) by specified degree. + // See dojox.gfx.matrix.skewY() for comparison. + // degree: Number: an skewing angle in degrees + return m.skewY(m._degToRad(degree)); // dojox.gfx.matrix.Matrix2D + }, + reflect: function(a, b){ + // summary: forms a reflection matrix + // description: The resulting matrix is used to reflect points around a vector, + // which goes through the origin. + // a: dojox.gfx.Point: a point-like object, which specifies a vector of reflection + // b: null + if(arguments.length == 1){ + b = a.y; + a = a.x; + } + // branch + // a: Number: an x coordinate value + // b: Number: a y coordinate value + + // make a unit vector + var a2 = a * a, b2 = b * b, n2 = a2 + b2, xy = 2 * a * b / n2; + return new m.Matrix2D({xx: 2 * a2 / n2 - 1, xy: xy, yx: xy, yy: 2 * b2 / n2 - 1}); // dojox.gfx.matrix.Matrix2D + }, + project: function(a, b){ + // summary: forms an orthogonal projection matrix + // description: The resulting matrix is used to project points orthogonally on a vector, + // which goes through the origin. + // a: dojox.gfx.Point: a point-like object, which specifies a vector of projection + // b: null + if(arguments.length == 1){ + b = a.y; + a = a.x; + } + // branch + // a: Number: an x coordinate value + // b: Number: a y coordinate value + + // make a unit vector + var a2 = a * a, b2 = b * b, n2 = a2 + b2, xy = a * b / n2; + return new m.Matrix2D({xx: a2 / n2, xy: xy, yx: xy, yy: b2 / n2}); // dojox.gfx.matrix.Matrix2D + }, + + // ensure matrix 2D conformance + normalize: function(matrix){ + // summary: converts an object to a matrix, if necessary + // description: Converts any 2D matrix-like object or an array of + // such objects to a valid dojox.gfx.matrix.Matrix2D object. + // matrix: Object: an object, which is converted to a matrix, if necessary + return (matrix instanceof m.Matrix2D) ? matrix : new m.Matrix2D(matrix); // dojox.gfx.matrix.Matrix2D + }, + + // common operations + + clone: function(matrix){ + // summary: creates a copy of a 2D matrix + // matrix: dojox.gfx.matrix.Matrix2D: a 2D matrix-like object to be cloned + var obj = new m.Matrix2D(); + 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.gfx.matrix.Matrix2D + }, + invert: function(matrix){ + // summary: inverts a 2D matrix + // matrix: dojox.gfx.matrix.Matrix2D: a 2D matrix-like object to be inverted + var M = m.normalize(matrix), + D = M.xx * M.yy - M.xy * M.yx, + M = new m.Matrix2D({ + xx: M.yy/D, xy: -M.xy/D, + yx: -M.yx/D, yy: M.xx/D, + dx: (M.xy * M.dy - M.yy * M.dx) / D, + dy: (M.yx * M.dx - M.xx * M.dy) / D + }); + return M; // dojox.gfx.matrix.Matrix2D + }, + _multiplyPoint: function(matrix, x, y){ + // summary: applies a matrix to a point + // matrix: dojox.gfx.matrix.Matrix2D: a 2D matrix object to be applied + // x: Number: an x coordinate of a point + // y: Number: a y coordinate of a point + return {x: matrix.xx * x + matrix.xy * y + matrix.dx, y: matrix.yx * x + matrix.yy * y + matrix.dy}; // dojox.gfx.Point + }, + multiplyPoint: function(matrix, /* Number||Point */ a, /* Number, optional */ b){ + // summary: applies a matrix to a point + // matrix: dojox.gfx.matrix.Matrix2D: a 2D matrix object to be applied + // a: Number: an x coordinate of a point + // b: Number: a y coordinate of a point + var M = m.normalize(matrix); + if(typeof a == "number" && typeof b == "number"){ + return m._multiplyPoint(M, a, b); // dojox.gfx.Point + } + // branch + // matrix: dojox.gfx.matrix.Matrix2D: a 2D matrix object to be applied + // a: dojox.gfx.Point: a point + // b: null + return m._multiplyPoint(M, a.x, a.y); // dojox.gfx.Point + }, + multiply: function(matrix){ + // summary: combines matrices by multiplying them sequentially in the given order + // matrix: dojox.gfx.matrix.Matrix2D...: a 2D matrix-like object, + // all subsequent arguments are matrix-like objects too + var M = m.normalize(matrix); + // combine matrices + for(var i = 1; i < arguments.length; ++i){ + var l = M, r = m.normalize(arguments[i]); + M = new m.Matrix2D(); + M.xx = l.xx * r.xx + l.xy * r.yx; + M.xy = l.xx * r.xy + l.xy * r.yy; + M.yx = l.yx * r.xx + l.yy * r.yx; + M.yy = l.yx * r.xy + l.yy * r.yy; + M.dx = l.xx * r.dx + l.xy * r.dy + l.dx; + M.dy = l.yx * r.dx + l.yy * r.dy + l.dy; + } + return M; // dojox.gfx.matrix.Matrix2D + }, + + // high level operations + + _sandwich: function(matrix, x, y){ + // summary: applies a matrix at a centrtal point + // matrix: dojox.gfx.matrix.Matrix2D: a 2D matrix-like object, which is applied at a central point + // x: Number: an x component of the central point + // y: Number: a y component of the central point + return m.multiply(m.translate(x, y), matrix, m.translate(-x, -y)); // dojox.gfx.matrix.Matrix2D + }, + scaleAt: function(a, b, c, d){ + // summary: scales a picture using a specified point as a center of scaling + // description: Compare with dojox.gfx.matrix.scale(). + // a: Number: a scaling factor used for the x coordinate + // b: Number: a scaling factor used for the y coordinate + // c: Number: an x component of a central point + // d: Number: a y component of a central point + + // accepts several signatures: + // 1) uniform scale factor, Point + // 2) uniform scale factor, x, y + // 3) x scale, y scale, Point + // 4) x scale, y scale, x, y + + switch(arguments.length){ + case 4: + // a and b are scale factor components, c and d are components of a point + return m._sandwich(m.scale(a, b), c, d); // dojox.gfx.matrix.Matrix2D + case 3: + if(typeof c == "number"){ + // branch + // a: Number: a uniform scaling factor used for both coordinates + // b: Number: an x component of a central point + // c: Number: a y component of a central point + // d: null + return m._sandwich(m.scale(a), b, c); // dojox.gfx.matrix.Matrix2D + } + // branch + // a: Number: a scaling factor used for the x coordinate + // b: Number: a scaling factor used for the y coordinate + // c: dojox.gfx.Point: a central point + // d: null + return m._sandwich(m.scale(a, b), c.x, c.y); // dojox.gfx.matrix.Matrix2D + } + // branch + // a: Number: a uniform scaling factor used for both coordinates + // b: dojox.gfx.Point: a central point + // c: null + // d: null + return m._sandwich(m.scale(a), b.x, b.y); // dojox.gfx.matrix.Matrix2D + }, + rotateAt: function(angle, a, b){ + // summary: rotates a picture using a specified point as a center of rotation + // description: Compare with dojox.gfx.matrix.rotate(). + // angle: Number: an angle of rotation in radians (>0 for CW) + // a: Number: an x component of a central point + // b: Number: a y component of a central point + + // accepts several signatures: + // 1) rotation angle in radians, Point + // 2) rotation angle in radians, x, y + + if(arguments.length > 2){ + return m._sandwich(m.rotate(angle), a, b); // dojox.gfx.matrix.Matrix2D + } + + // branch + // angle: Number: an angle of rotation in radians (>0 for CCW) + // a: dojox.gfx.Point: a central point + // b: null + return m._sandwich(m.rotate(angle), a.x, a.y); // dojox.gfx.matrix.Matrix2D + }, + rotategAt: function(degree, a, b){ + // summary: rotates a picture using a specified point as a center of rotation + // description: Compare with dojox.gfx.matrix.rotateg(). + // degree: Number: an angle of rotation in degrees (>0 for CW) + // a: Number: an x component of a central point + // b: Number: a y component of a central point + + // accepts several signatures: + // 1) rotation angle in degrees, Point + // 2) rotation angle in degrees, x, y + + if(arguments.length > 2){ + return m._sandwich(m.rotateg(degree), a, b); // dojox.gfx.matrix.Matrix2D + } + + // branch + // degree: Number: an angle of rotation in degrees (>0 for CCW) + // a: dojox.gfx.Point: a central point + // b: null + return m._sandwich(m.rotateg(degree), a.x, a.y); // dojox.gfx.matrix.Matrix2D + }, + skewXAt: function(angle, a, b){ + // summary: skews a picture along the x axis using a specified point as a center of skewing + // description: Compare with dojox.gfx.matrix.skewX(). + // angle: Number: an skewing angle in radians + // a: Number: an x component of a central point + // b: Number: a y component of a central point + + // accepts several signatures: + // 1) skew angle in radians, Point + // 2) skew angle in radians, x, y + + if(arguments.length > 2){ + return m._sandwich(m.skewX(angle), a, b); // dojox.gfx.matrix.Matrix2D + } + + // branch + // angle: Number: an skewing angle in radians + // a: dojox.gfx.Point: a central point + // b: null + return m._sandwich(m.skewX(angle), a.x, a.y); // dojox.gfx.matrix.Matrix2D + }, + skewXgAt: function(degree, a, b){ + // summary: skews a picture along the x axis using a specified point as a center of skewing + // description: Compare with dojox.gfx.matrix.skewXg(). + // degree: Number: an skewing angle in degrees + // a: Number: an x component of a central point + // b: Number: a y component of a central point + + // accepts several signatures: + // 1) skew angle in degrees, Point + // 2) skew angle in degrees, x, y + + if(arguments.length > 2){ + return m._sandwich(m.skewXg(degree), a, b); // dojox.gfx.matrix.Matrix2D + } + + // branch + // degree: Number: an skewing angle in degrees + // a: dojox.gfx.Point: a central point + // b: null + return m._sandwich(m.skewXg(degree), a.x, a.y); // dojox.gfx.matrix.Matrix2D + }, + skewYAt: function(angle, a, b){ + // summary: skews a picture along the y axis using a specified point as a center of skewing + // description: Compare with dojox.gfx.matrix.skewY(). + // angle: Number: an skewing angle in radians + // a: Number: an x component of a central point + // b: Number: a y component of a central point + + // accepts several signatures: + // 1) skew angle in radians, Point + // 2) skew angle in radians, x, y + + if(arguments.length > 2){ + return m._sandwich(m.skewY(angle), a, b); // dojox.gfx.matrix.Matrix2D + } + + // branch + // angle: Number: an skewing angle in radians + // a: dojox.gfx.Point: a central point + // b: null + return m._sandwich(m.skewY(angle), a.x, a.y); // dojox.gfx.matrix.Matrix2D + }, + skewYgAt: function(/* Number */ degree, /* Number||Point */ a, /* Number, optional */ b){ + // summary: skews a picture along the y axis using a specified point as a center of skewing + // description: Compare with dojox.gfx.matrix.skewYg(). + // degree: Number: an skewing angle in degrees + // a: Number: an x component of a central point + // b: Number: a y component of a central point + + // accepts several signatures: + // 1) skew angle in degrees, Point + // 2) skew angle in degrees, x, y + + if(arguments.length > 2){ + return m._sandwich(m.skewYg(degree), a, b); // dojox.gfx.matrix.Matrix2D + } + + // branch + // degree: Number: an skewing angle in degrees + // a: dojox.gfx.Point: a central point + // b: null + return m._sandwich(m.skewYg(degree), a.x, a.y); // dojox.gfx.matrix.Matrix2D + } + + //TODO: rect-to-rect mapping, scale-to-fit (isotropic and anisotropic versions) + + }); +})(); + +// propagate Matrix2D up +dojox.gfx.Matrix2D = dojox.gfx.matrix.Matrix2D; + +} |