--- /dev/null
+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;
+
+}
projects / eow / blobdiff