How to use matrix2D method in wpt

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matrix.js.uncompressed.js

Source:matrix.js.uncompressed.js Github

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1define("dojox/gfx/matrix", ["./_base","dojo/_base/lang"], 2 function(g, lang){3 var m = g.matrix = {};4 // candidates for dojox.math:5 var _degToRadCache = {};6 m._degToRad = function(degree){7 return _degToRadCache[degree] || (_degToRadCache[degree] = (Math.PI * degree / 180));8 };9 m._radToDeg = function(radian){ return radian / Math.PI * 180; };10 m.Matrix2D = function(arg){11 // summary:12 // a 2D matrix object13 // description:14 // Normalizes a 2D matrix-like object. If arrays is passed,15 // all objects of the array are normalized and multiplied sequentially.16 // arg: Object17 // a 2D matrix-like object, a number, or an array of such objects18 if(arg){19 if(typeof arg == "number"){20 this.xx = this.yy = arg;21 }else if(arg instanceof Array){22 if(arg.length > 0){23 var matrix = m.normalize(arg[0]);24 // combine matrices25 for(var i = 1; i < arg.length; ++i){26 var l = matrix, r = m.normalize(arg[i]);27 matrix = new m.Matrix2D();28 matrix.xx = l.xx * r.xx + l.xy * r.yx;29 matrix.xy = l.xx * r.xy + l.xy * r.yy;30 matrix.yx = l.yx * r.xx + l.yy * r.yx;31 matrix.yy = l.yx * r.xy + l.yy * r.yy;32 matrix.dx = l.xx * r.dx + l.xy * r.dy + l.dx;33 matrix.dy = l.yx * r.dx + l.yy * r.dy + l.dy;34 }35 lang.mixin(this, matrix);36 }37 }else{38 lang.mixin(this, arg);39 }40 }41 };42 // the default (identity) matrix, which is used to fill in missing values43 lang.extend(m.Matrix2D, {xx: 1, xy: 0, yx: 0, yy: 1, dx: 0, dy: 0});44 lang.mixin(m, {45 // summary:46 // class constants, and methods of dojox/gfx/matrix47 // matrix constants48 // identity: dojox/gfx/matrix.Matrix2D49 // an identity matrix constant: identity * (x, y) == (x, y)50 identity: new m.Matrix2D(),51 // flipX: dojox/gfx/matrix.Matrix2D52 // a matrix, which reflects points at x = 0 line: flipX * (x, y) == (-x, y)53 flipX: new m.Matrix2D({xx: -1}),54 // flipY: dojox/gfx/matrix.Matrix2D55 // a matrix, which reflects points at y = 0 line: flipY * (x, y) == (x, -y)56 flipY: new m.Matrix2D({yy: -1}),57 // flipXY: dojox/gfx/matrix.Matrix2D58 // a matrix, which reflects points at the origin of coordinates: flipXY * (x, y) == (-x, -y)59 flipXY: new m.Matrix2D({xx: -1, yy: -1}),60 // matrix creators61 translate: function(a, b){62 // summary:63 // forms a translation matrix64 // description:65 // The resulting matrix is used to translate (move) points by specified offsets.66 // a: Number|dojox/gfx.Point67 // an x coordinate value, or a point-like object, which specifies offsets for both dimensions68 // b: Number?69 // a y coordinate value70 // returns: dojox/gfx/matrix.Matrix2D71 if(arguments.length > 1){72 return new m.Matrix2D({dx: a, dy: b}); // dojox/gfx/matrix.Matrix2D73 }74 // branch75 return new m.Matrix2D({dx: a.x, dy: a.y}); // dojox/gfx/matrix.Matrix2D76 },77 scale: function(a, b){78 // summary:79 // forms a scaling matrix80 // description:81 // The resulting matrix is used to scale (magnify) points by specified offsets.82 // a: Number|dojox/gfx.Point83 // a scaling factor used for the x coordinate, or84 // a uniform scaling factor used for the both coordinates, or85 // a point-like object, which specifies scale factors for both dimensions86 // b: Number?87 // a scaling factor used for the y coordinate88 // returns: dojox/gfx/matrix.Matrix2D89 if(arguments.length > 1){90 return new m.Matrix2D({xx: a, yy: b}); // dojox/gfx/matrix.Matrix2D91 }92 if(typeof a == "number"){93 return new m.Matrix2D({xx: a, yy: a}); // dojox/gfx/matrix.Matrix2D94 }95 return new m.Matrix2D({xx: a.x, yy: a.y}); // dojox/gfx/matrix.Matrix2D96 },97 rotate: function(angle){98 // summary:99 // forms a rotating matrix100 // description:101 // The resulting matrix is used to rotate points102 // around the origin of coordinates (0, 0) by specified angle.103 // angle: Number104 // an angle of rotation in radians (>0 for CW)105 // returns: dojox/gfx/matrix.Matrix2D106 var c = Math.cos(angle);107 var s = Math.sin(angle);108 return new m.Matrix2D({xx: c, xy: -s, yx: s, yy: c}); // dojox/gfx/matrix.Matrix2D109 },110 rotateg: function(degree){111 // summary:112 // forms a rotating matrix113 // description:114 // The resulting matrix is used to rotate points115 // around the origin of coordinates (0, 0) by specified degree.116 // See dojox/gfx/matrix.rotate() for comparison.117 // degree: Number118 // an angle of rotation in degrees (>0 for CW)119 // returns: dojox/gfx/matrix.Matrix2D120 return m.rotate(m._degToRad(degree)); // dojox/gfx/matrix.Matrix2D121 },122 skewX: function(angle) {123 // summary:124 // forms an x skewing matrix125 // description:126 // The resulting matrix is used to skew points in the x dimension127 // around the origin of coordinates (0, 0) by specified angle.128 // angle: Number129 // a skewing angle in radians130 // returns: dojox/gfx/matrix.Matrix2D131 return new m.Matrix2D({xy: Math.tan(angle)}); // dojox/gfx/matrix.Matrix2D132 },133 skewXg: function(degree){134 // summary:135 // forms an x skewing matrix136 // description:137 // The resulting matrix is used to skew points in the x dimension138 // around the origin of coordinates (0, 0) by specified degree.139 // See dojox/gfx/matrix.skewX() for comparison.140 // degree: Number141 // a skewing angle in degrees142 // returns: dojox/gfx/matrix.Matrix2D143 return m.skewX(m._degToRad(degree)); // dojox/gfx/matrix.Matrix2D144 },145 skewY: function(angle){146 // summary:147 // forms a y skewing matrix148 // description:149 // The resulting matrix is used to skew points in the y dimension150 // around the origin of coordinates (0, 0) by specified angle.151 // angle: Number152 // a skewing angle in radians153 // returns: dojox/gfx/matrix.Matrix2D154 return new m.Matrix2D({yx: Math.tan(angle)}); // dojox/gfx/matrix.Matrix2D155 },156 skewYg: function(degree){157 // summary:158 // forms a y skewing matrix159 // description:160 // The resulting matrix is used to skew points in the y dimension161 // around the origin of coordinates (0, 0) by specified degree.162 // See dojox/gfx/matrix.skewY() for comparison.163 // degree: Number164 // a skewing angle in degrees165 // returns: dojox/gfx/matrix.Matrix2D166 return m.skewY(m._degToRad(degree)); // dojox/gfx/matrix.Matrix2D167 },168 reflect: function(a, b){169 // summary:170 // forms a reflection matrix171 // description:172 // The resulting matrix is used to reflect points around a vector,173 // which goes through the origin.174 // a: dojox/gfx.Point|Number175 // a point-like object, which specifies a vector of reflection, or an X value176 // b: Number?177 // a Y value178 // returns: dojox/gfx/matrix.Matrix2D179 if(arguments.length == 1){180 b = a.y;181 a = a.x;182 }183 // make a unit vector184 var a2 = a * a, b2 = b * b, n2 = a2 + b2, xy = 2 * a * b / n2;185 return new m.Matrix2D({xx: 2 * a2 / n2 - 1, xy: xy, yx: xy, yy: 2 * b2 / n2 - 1}); // dojox/gfx/matrix.Matrix2D186 },187 project: function(a, b){188 // summary:189 // forms an orthogonal projection matrix190 // description:191 // The resulting matrix is used to project points orthogonally on a vector,192 // which goes through the origin.193 // a: dojox/gfx.Point|Number194 // a point-like object, which specifies a vector of projection, or195 // an x coordinate value196 // b: Number?197 // a y coordinate value198 // returns: dojox/gfx/matrix.Matrix2D199 if(arguments.length == 1){200 b = a.y;201 a = a.x;202 }203 // make a unit vector204 var a2 = a * a, b2 = b * b, n2 = a2 + b2, xy = a * b / n2;205 return new m.Matrix2D({xx: a2 / n2, xy: xy, yx: xy, yy: b2 / n2}); // dojox/gfx/matrix.Matrix2D206 },207 // ensure matrix 2D conformance208 normalize: function(matrix){209 // summary:210 // converts an object to a matrix, if necessary211 // description:212 // Converts any 2D matrix-like object or an array of213 // such objects to a valid dojox/gfx/matrix.Matrix2D object.214 // matrix: Object215 // an object, which is converted to a matrix, if necessary216 // returns: dojox/gfx/matrix.Matrix2D217 return (matrix instanceof m.Matrix2D) ? matrix : new m.Matrix2D(matrix); // dojox/gfx/matrix.Matrix2D218 },219 // common operations220 isIdentity: function(matrix){221 // summary:222 // returns whether the specified matrix is the identity.223 // matrix: dojox/gfx/matrix.Matrix2D224 // a 2D matrix object to be tested225 // returns: Boolean226 return matrix.xx == 1 && matrix.xy == 0 && matrix.yx == 0 && matrix.yy == 1 && matrix.dx == 0 && matrix.dy == 0; // Boolean227 },228 clone: function(matrix){229 // summary:230 // creates a copy of a 2D matrix231 // matrix: dojox/gfx/matrix.Matrix2D232 // a 2D matrix-like object to be cloned233 // returns: dojox/gfx/matrix.Matrix2D234 var obj = new m.Matrix2D();235 for(var i in matrix){236 if(typeof(matrix[i]) == "number" && typeof(obj[i]) == "number" && obj[i] != matrix[i]) obj[i] = matrix[i];237 }238 return obj; // dojox/gfx/matrix.Matrix2D239 },240 invert: function(matrix){241 // summary:242 // inverts a 2D matrix243 // matrix: dojox/gfx/matrix.Matrix2D244 // a 2D matrix-like object to be inverted245 // returns: dojox/gfx/matrix.Matrix2D246 var M = m.normalize(matrix),247 D = M.xx * M.yy - M.xy * M.yx;248 M = new m.Matrix2D({249 xx: M.yy/D, xy: -M.xy/D,250 yx: -M.yx/D, yy: M.xx/D,251 dx: (M.xy * M.dy - M.yy * M.dx) / D,252 dy: (M.yx * M.dx - M.xx * M.dy) / D253 });254 return M; // dojox/gfx/matrix.Matrix2D255 },256 _multiplyPoint: function(matrix, x, y){257 // summary:258 // applies a matrix to a point259 // matrix: dojox/gfx/matrix.Matrix2D260 // a 2D matrix object to be applied261 // x: Number262 // an x coordinate of a point263 // y: Number264 // a y coordinate of a point265 // returns: dojox/gfx.Point266 return {x: matrix.xx * x + matrix.xy * y + matrix.dx, y: matrix.yx * x + matrix.yy * y + matrix.dy}; // dojox/gfx.Point267 },268 multiplyPoint: function(matrix, /* Number||Point */ a, /* Number? */ b){269 // summary:270 // applies a matrix to a point271 // matrix: dojox/gfx/matrix.Matrix2D272 // a 2D matrix object to be applied273 // a: Number|dojox/gfx.Point274 // an x coordinate of a point, or a point275 // b: Number?276 // a y coordinate of a point277 // returns: dojox/gfx.Point278 var M = m.normalize(matrix);279 if(typeof a == "number" && typeof b == "number"){280 return m._multiplyPoint(M, a, b); // dojox/gfx.Point281 }282 return m._multiplyPoint(M, a.x, a.y); // dojox/gfx.Point283 },284 multiplyRectangle: function(matrix, /*Rectangle*/ rect){285 // summary:286 // Applies a matrix to a rectangle.287 // description:288 // The method applies the transformation on all corners of the289 // rectangle and returns the smallest rectangle enclosing the 4 transformed290 // points.291 // matrix: dojox/gfx/matrix.Matrix2D292 // a 2D matrix object to be applied.293 // rect: Rectangle294 // the rectangle to transform.295 // returns: dojox/gfx.Rectangle296 var M = m.normalize(matrix);297 rect = rect || {x:0, y:0, width:0, height:0}; 298 if(m.isIdentity(M))299 return {x: rect.x, y: rect.y, width: rect.width, height: rect.height}; // dojo/gfx.Rectangle300 var p0 = m.multiplyPoint(M, rect.x, rect.y),301 p1 = m.multiplyPoint(M, rect.x, rect.y + rect.height),302 p2 = m.multiplyPoint(M, rect.x + rect.width, rect.y),303 p3 = m.multiplyPoint(M, rect.x + rect.width, rect.y + rect.height),304 minx = Math.min(p0.x, p1.x, p2.x, p3.x),305 miny = Math.min(p0.y, p1.y, p2.y, p3.y),306 maxx = Math.max(p0.x, p1.x, p2.x, p3.x),307 maxy = Math.max(p0.y, p1.y, p2.y, p3.y);308 return{ // dojo/gfx.Rectangle309 x: minx,310 y: miny,311 width: maxx - minx,312 height: maxy - miny313 };314 },315 multiply: function(matrix){316 // summary:317 // combines matrices by multiplying them sequentially in the given order318 // matrix: dojox/gfx/matrix.Matrix2D319 // a 2D matrix-like object,320 // all subsequent arguments are matrix-like objects too321 var M = m.normalize(matrix);322 // combine matrices323 for(var i = 1; i < arguments.length; ++i){324 var l = M, r = m.normalize(arguments[i]);325 M = new m.Matrix2D();326 M.xx = l.xx * r.xx + l.xy * r.yx;327 M.xy = l.xx * r.xy + l.xy * r.yy;328 M.yx = l.yx * r.xx + l.yy * r.yx;329 M.yy = l.yx * r.xy + l.yy * r.yy;330 M.dx = l.xx * r.dx + l.xy * r.dy + l.dx;331 M.dy = l.yx * r.dx + l.yy * r.dy + l.dy;332 }333 return M; // dojox/gfx/matrix.Matrix2D334 },335 // high level operations336 _sandwich: function(matrix, x, y){337 // summary:338 // applies a matrix at a central point339 // matrix: dojox/gfx/matrix.Matrix2D340 // a 2D matrix-like object, which is applied at a central point341 // x: Number342 // an x component of the central point343 // y: Number344 // a y component of the central point345 return m.multiply(m.translate(x, y), matrix, m.translate(-x, -y)); // dojox/gfx/matrix.Matrix2D346 },347 scaleAt: function(a, b, c, d){348 // summary:349 // scales a picture using a specified point as a center of scaling350 // description:351 // Compare with dojox/gfx/matrix.scale().352 // a: Number353 // a scaling factor used for the x coordinate, or a uniform scaling factor used for both coordinates354 // b: Number?355 // a scaling factor used for the y coordinate356 // c: Number|Point357 // an x component of a central point, or a central point358 // d: Number359 // a y component of a central point360 // returns: dojox/gfx/matrix.Matrix2D361 switch(arguments.length){362 case 4:363 // a and b are scale factor components, c and d are components of a point364 return m._sandwich(m.scale(a, b), c, d); // dojox/gfx/matrix.Matrix2D365 case 3:366 if(typeof c == "number"){367 return m._sandwich(m.scale(a), b, c); // dojox/gfx/matrix.Matrix2D368 }369 return m._sandwich(m.scale(a, b), c.x, c.y); // dojox/gfx/matrix.Matrix2D370 }371 return m._sandwich(m.scale(a), b.x, b.y); // dojox/gfx/matrix.Matrix2D372 },373 rotateAt: function(angle, a, b){374 // summary:375 // rotates a picture using a specified point as a center of rotation376 // description:377 // Compare with dojox/gfx/matrix.rotate().378 // angle: Number379 // an angle of rotation in radians (>0 for CW)380 // a: Number|dojox/gfx.Point381 // an x component of a central point, or a central point382 // b: Number?383 // a y component of a central point384 // returns: dojox/gfx/matrix.Matrix2D385 if(arguments.length > 2){386 return m._sandwich(m.rotate(angle), a, b); // dojox/gfx/matrix.Matrix2D387 }388 return m._sandwich(m.rotate(angle), a.x, a.y); // dojox/gfx/matrix.Matrix2D389 },390 rotategAt: function(degree, a, b){391 // summary:392 // rotates a picture using a specified point as a center of rotation393 // description:394 // Compare with dojox/gfx/matrix.rotateg().395 // degree: Number396 // an angle of rotation in degrees (>0 for CW)397 // a: Number|dojox/gfx.Point398 // an x component of a central point, or a central point399 // b: Number?400 // a y component of a central point401 // returns: dojox/gfx/matrix.Matrix2D402 if(arguments.length > 2){403 return m._sandwich(m.rotateg(degree), a, b); // dojox/gfx/matrix.Matrix2D404 }405 return m._sandwich(m.rotateg(degree), a.x, a.y); // dojox/gfx/matrix.Matrix2D406 },407 skewXAt: function(angle, a, b){408 // summary:409 // skews a picture along the x axis using a specified point as a center of skewing410 // description:411 // Compare with dojox/gfx/matrix.skewX().412 // angle: Number413 // a skewing angle in radians414 // a: Number|dojox/gfx.Point415 // an x component of a central point, or a central point416 // b: Number?417 // a y component of a central point418 // returns: dojox/gfx/matrix.Matrix2D419 if(arguments.length > 2){420 return m._sandwich(m.skewX(angle), a, b); // dojox/gfx/matrix.Matrix2D421 }422 return m._sandwich(m.skewX(angle), a.x, a.y); // dojox/gfx/matrix.Matrix2D423 },424 skewXgAt: function(degree, a, b){425 // summary:426 // skews a picture along the x axis using a specified point as a center of skewing427 // description:428 // Compare with dojox/gfx/matrix.skewXg().429 // degree: Number430 // a skewing angle in degrees431 // a: Number|dojox/gfx.Point432 // an x component of a central point, or a central point433 // b: Number?434 // a y component of a central point435 // returns: dojox/gfx/matrix.Matrix2D436 if(arguments.length > 2){437 return m._sandwich(m.skewXg(degree), a, b); // dojox/gfx/matrix.Matrix2D438 }439 return m._sandwich(m.skewXg(degree), a.x, a.y); // dojox/gfx/matrix.Matrix2D440 },441 skewYAt: function(angle, a, b){442 // summary:443 // skews a picture along the y axis using a specified point as a center of skewing444 // description:445 // Compare with dojox/gfx/matrix.skewY().446 // angle: Number447 // a skewing angle in radians448 // a: Number|dojox/gfx.Point449 // an x component of a central point, or a central point450 // b: Number?451 // a y component of a central point452 // returns: dojox/gfx/matrix.Matrix2D453 if(arguments.length > 2){454 return m._sandwich(m.skewY(angle), a, b); // dojox/gfx/matrix.Matrix2D455 }456 return m._sandwich(m.skewY(angle), a.x, a.y); // dojox/gfx/matrix.Matrix2D457 },458 skewYgAt: function(/* Number */ degree, /* Number||Point */ a, /* Number? */ b){459 // summary:460 // skews a picture along the y axis using a specified point as a center of skewing461 // description:462 // Compare with dojox/gfx/matrix.skewYg().463 // degree: Number464 // a skewing angle in degrees465 // a: Number|dojox/gfx.Point466 // an x component of a central point, or a central point467 // b: Number?468 // a y component of a central point469 // returns: dojox/gfx/matrix.Matrix2D470 if(arguments.length > 2){471 return m._sandwich(m.skewYg(degree), a, b); // dojox/gfx/matrix.Matrix2D472 }473 return m._sandwich(m.skewYg(degree), a.x, a.y); // dojox/gfx/matrix.Matrix2D474 }475 //TODO: rect-to-rect mapping, scale-to-fit (isotropic and anisotropic versions)476 });477 // propagate Matrix2D up478 g.Matrix2D = m.Matrix2D;479 return m;...

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matrix.js

Source:matrix.js Github

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1define(["./_base","dojo/_base/lang"], 2 function(g, lang){3 var m = g.matrix = {};4 // candidates for dojox.math:5 var _degToRadCache = {};6 m._degToRad = function(degree){7 return _degToRadCache[degree] || (_degToRadCache[degree] = (Math.PI * degree / 180));8 };9 m._radToDeg = function(radian){ return radian / Math.PI * 180; };10 m.Matrix2D = function(arg){11 // summary:12 // a 2D matrix object13 // description:14 // Normalizes a 2D matrix-like object. If arrays is passed,15 // all objects of the array are normalized and multiplied sequentially.16 // arg: Object17 // a 2D matrix-like object, a number, or an array of such objects18 if(arg){19 if(typeof arg == "number"){20 this.xx = this.yy = arg;21 }else if(arg instanceof Array){22 if(arg.length > 0){23 var matrix = m.normalize(arg[0]);24 // combine matrices25 for(var i = 1; i < arg.length; ++i){26 var l = matrix, r = m.normalize(arg[i]);27 matrix = new m.Matrix2D();28 matrix.xx = l.xx * r.xx + l.xy * r.yx;29 matrix.xy = l.xx * r.xy + l.xy * r.yy;30 matrix.yx = l.yx * r.xx + l.yy * r.yx;31 matrix.yy = l.yx * r.xy + l.yy * r.yy;32 matrix.dx = l.xx * r.dx + l.xy * r.dy + l.dx;33 matrix.dy = l.yx * r.dx + l.yy * r.dy + l.dy;34 }35 lang.mixin(this, matrix);36 }37 }else{38 lang.mixin(this, arg);39 }40 }41 };42 // the default (identity) matrix, which is used to fill in missing values43 lang.extend(m.Matrix2D, {xx: 1, xy: 0, yx: 0, yy: 1, dx: 0, dy: 0});44 lang.mixin(m, {45 // summary:46 // class constants, and methods of dojox/gfx/matrix47 // matrix constants48 // identity: dojox/gfx/matrix.Matrix2D49 // an identity matrix constant: identity * (x, y) == (x, y)50 identity: new m.Matrix2D(),51 // flipX: dojox/gfx/matrix.Matrix2D52 // a matrix, which reflects points at x = 0 line: flipX * (x, y) == (-x, y)53 flipX: new m.Matrix2D({xx: -1}),54 // flipY: dojox/gfx/matrix.Matrix2D55 // a matrix, which reflects points at y = 0 line: flipY * (x, y) == (x, -y)56 flipY: new m.Matrix2D({yy: -1}),57 // flipXY: dojox/gfx/matrix.Matrix2D58 // a matrix, which reflects points at the origin of coordinates: flipXY * (x, y) == (-x, -y)59 flipXY: new m.Matrix2D({xx: -1, yy: -1}),60 // matrix creators61 translate: function(a, b){62 // summary:63 // forms a translation matrix64 // description:65 // The resulting matrix is used to translate (move) points by specified offsets.66 // a: Number|dojox/gfx.Point67 // an x coordinate value, or a point-like object, which specifies offsets for both dimensions68 // b: Number?69 // a y coordinate value70 // returns: dojox/gfx/matrix.Matrix2D71 if(arguments.length > 1){72 return new m.Matrix2D({dx: a, dy: b}); // dojox/gfx/matrix.Matrix2D73 }74 // branch75 return new m.Matrix2D({dx: a.x, dy: a.y}); // dojox/gfx/matrix.Matrix2D76 },77 scale: function(a, b){78 // summary:79 // forms a scaling matrix80 // description:81 // The resulting matrix is used to scale (magnify) points by specified offsets.82 // a: Number|dojox/gfx.Point83 // a scaling factor used for the x coordinate, or84 // a uniform scaling factor used for the both coordinates, or85 // a point-like object, which specifies scale factors for both dimensions86 // b: Number?87 // a scaling factor used for the y coordinate88 // returns: dojox/gfx/matrix.Matrix2D89 if(arguments.length > 1){90 return new m.Matrix2D({xx: a, yy: b}); // dojox/gfx/matrix.Matrix2D91 }92 if(typeof a == "number"){93 return new m.Matrix2D({xx: a, yy: a}); // dojox/gfx/matrix.Matrix2D94 }95 return new m.Matrix2D({xx: a.x, yy: a.y}); // dojox/gfx/matrix.Matrix2D96 },97 rotate: function(angle){98 // summary:99 // forms a rotating matrix100 // description:101 // The resulting matrix is used to rotate points102 // around the origin of coordinates (0, 0) by specified angle.103 // angle: Number104 // an angle of rotation in radians (>0 for CW)105 // returns: dojox/gfx/matrix.Matrix2D106 var c = Math.cos(angle);107 var s = Math.sin(angle);108 return new m.Matrix2D({xx: c, xy: -s, yx: s, yy: c}); // dojox/gfx/matrix.Matrix2D109 },110 rotateg: function(degree){111 // summary:112 // forms a rotating matrix113 // description:114 // The resulting matrix is used to rotate points115 // around the origin of coordinates (0, 0) by specified degree.116 // See dojox/gfx/matrix.rotate() for comparison.117 // degree: Number118 // an angle of rotation in degrees (>0 for CW)119 // returns: dojox/gfx/matrix.Matrix2D120 return m.rotate(m._degToRad(degree)); // dojox/gfx/matrix.Matrix2D121 },122 skewX: function(angle) {123 // summary:124 // forms an x skewing matrix125 // description:126 // The resulting matrix is used to skew points in the x dimension127 // around the origin of coordinates (0, 0) by specified angle.128 // angle: Number129 // a skewing angle in radians130 // returns: dojox/gfx/matrix.Matrix2D131 return new m.Matrix2D({xy: Math.tan(angle)}); // dojox/gfx/matrix.Matrix2D132 },133 skewXg: function(degree){134 // summary:135 // forms an x skewing matrix136 // description:137 // The resulting matrix is used to skew points in the x dimension138 // around the origin of coordinates (0, 0) by specified degree.139 // See dojox/gfx/matrix.skewX() for comparison.140 // degree: Number141 // a skewing angle in degrees142 // returns: dojox/gfx/matrix.Matrix2D143 return m.skewX(m._degToRad(degree)); // dojox/gfx/matrix.Matrix2D144 },145 skewY: function(angle){146 // summary:147 // forms a y skewing matrix148 // description:149 // The resulting matrix is used to skew points in the y dimension150 // around the origin of coordinates (0, 0) by specified angle.151 // angle: Number152 // a skewing angle in radians153 // returns: dojox/gfx/matrix.Matrix2D154 return new m.Matrix2D({yx: Math.tan(angle)}); // dojox/gfx/matrix.Matrix2D155 },156 skewYg: function(degree){157 // summary:158 // forms a y skewing matrix159 // description:160 // The resulting matrix is used to skew points in the y dimension161 // around the origin of coordinates (0, 0) by specified degree.162 // See dojox/gfx/matrix.skewY() for comparison.163 // degree: Number164 // a skewing angle in degrees165 // returns: dojox/gfx/matrix.Matrix2D166 return m.skewY(m._degToRad(degree)); // dojox/gfx/matrix.Matrix2D167 },168 reflect: function(a, b){169 // summary:170 // forms a reflection matrix171 // description:172 // The resulting matrix is used to reflect points around a vector,173 // which goes through the origin.174 // a: dojox/gfx.Point|Number175 // a point-like object, which specifies a vector of reflection, or an X value176 // b: Number?177 // a Y value178 // returns: dojox/gfx/matrix.Matrix2D179 if(arguments.length == 1){180 b = a.y;181 a = a.x;182 }183 // make a unit vector184 var a2 = a * a, b2 = b * b, n2 = a2 + b2, xy = 2 * a * b / n2;185 return new m.Matrix2D({xx: 2 * a2 / n2 - 1, xy: xy, yx: xy, yy: 2 * b2 / n2 - 1}); // dojox/gfx/matrix.Matrix2D186 },187 project: function(a, b){188 // summary:189 // forms an orthogonal projection matrix190 // description:191 // The resulting matrix is used to project points orthogonally on a vector,192 // which goes through the origin.193 // a: dojox/gfx.Point|Number194 // a point-like object, which specifies a vector of projection, or195 // an x coordinate value196 // b: Number?197 // a y coordinate value198 // returns: dojox/gfx/matrix.Matrix2D199 if(arguments.length == 1){200 b = a.y;201 a = a.x;202 }203 // make a unit vector204 var a2 = a * a, b2 = b * b, n2 = a2 + b2, xy = a * b / n2;205 return new m.Matrix2D({xx: a2 / n2, xy: xy, yx: xy, yy: b2 / n2}); // dojox/gfx/matrix.Matrix2D206 },207 // ensure matrix 2D conformance208 normalize: function(matrix){209 // summary:210 // converts an object to a matrix, if necessary211 // description:212 // Converts any 2D matrix-like object or an array of213 // such objects to a valid dojox/gfx/matrix.Matrix2D object.214 // matrix: Object215 // an object, which is converted to a matrix, if necessary216 // returns: dojox/gfx/matrix.Matrix2D217 return (matrix instanceof m.Matrix2D) ? matrix : new m.Matrix2D(matrix); // dojox/gfx/matrix.Matrix2D218 },219 // common operations220 isIdentity: function(matrix){221 // summary:222 // returns whether the specified matrix is the identity.223 // matrix: dojox/gfx/matrix.Matrix2D224 // a 2D matrix object to be tested225 // returns: Boolean226 return matrix.xx == 1 && matrix.xy == 0 && matrix.yx == 0 && matrix.yy == 1 && matrix.dx == 0 && matrix.dy == 0; // Boolean227 },228 clone: function(matrix){229 // summary:230 // creates a copy of a 2D matrix231 // matrix: dojox/gfx/matrix.Matrix2D232 // a 2D matrix-like object to be cloned233 // returns: dojox/gfx/matrix.Matrix2D234 var obj = new m.Matrix2D();235 for(var i in matrix){236 if(typeof(matrix[i]) == "number" && typeof(obj[i]) == "number" && obj[i] != matrix[i]) obj[i] = matrix[i];237 }238 return obj; // dojox/gfx/matrix.Matrix2D239 },240 invert: function(matrix){241 // summary:242 // inverts a 2D matrix243 // matrix: dojox/gfx/matrix.Matrix2D244 // a 2D matrix-like object to be inverted245 // returns: dojox/gfx/matrix.Matrix2D246 var M = m.normalize(matrix),247 D = M.xx * M.yy - M.xy * M.yx;248 M = new m.Matrix2D({249 xx: M.yy/D, xy: -M.xy/D,250 yx: -M.yx/D, yy: M.xx/D,251 dx: (M.xy * M.dy - M.yy * M.dx) / D,252 dy: (M.yx * M.dx - M.xx * M.dy) / D253 });254 return M; // dojox/gfx/matrix.Matrix2D255 },256 _multiplyPoint: function(matrix, x, y){257 // summary:258 // applies a matrix to a point259 // matrix: dojox/gfx/matrix.Matrix2D260 // a 2D matrix object to be applied261 // x: Number262 // an x coordinate of a point263 // y: Number264 // a y coordinate of a point265 // returns: dojox/gfx.Point266 return {x: matrix.xx * x + matrix.xy * y + matrix.dx, y: matrix.yx * x + matrix.yy * y + matrix.dy}; // dojox/gfx.Point267 },268 multiplyPoint: function(matrix, /* Number||Point */ a, /* Number? */ b){269 // summary:270 // applies a matrix to a point271 // matrix: dojox/gfx/matrix.Matrix2D272 // a 2D matrix object to be applied273 // a: Number|dojox/gfx.Point274 // an x coordinate of a point, or a point275 // b: Number?276 // a y coordinate of a point277 // returns: dojox/gfx.Point278 var M = m.normalize(matrix);279 if(typeof a == "number" && typeof b == "number"){280 return m._multiplyPoint(M, a, b); // dojox/gfx.Point281 }282 return m._multiplyPoint(M, a.x, a.y); // dojox/gfx.Point283 },284 multiplyRectangle: function(matrix, /*Rectangle*/ rect){285 // summary:286 // Applies a matrix to a rectangle.287 // description:288 // The method applies the transformation on all corners of the289 // rectangle and returns the smallest rectangle enclosing the 4 transformed290 // points.291 // matrix: dojox/gfx/matrix.Matrix2D292 // a 2D matrix object to be applied.293 // rect: Rectangle294 // the rectangle to transform.295 // returns: dojox/gfx.Rectangle296 var M = m.normalize(matrix);297 rect = rect || {x:0, y:0, width:0, height:0}; 298 if(m.isIdentity(M))299 return {x: rect.x, y: rect.y, width: rect.width, height: rect.height}; // dojo/gfx.Rectangle300 var p0 = m.multiplyPoint(M, rect.x, rect.y),301 p1 = m.multiplyPoint(M, rect.x, rect.y + rect.height),302 p2 = m.multiplyPoint(M, rect.x + rect.width, rect.y),303 p3 = m.multiplyPoint(M, rect.x + rect.width, rect.y + rect.height),304 minx = Math.min(p0.x, p1.x, p2.x, p3.x),305 miny = Math.min(p0.y, p1.y, p2.y, p3.y),306 maxx = Math.max(p0.x, p1.x, p2.x, p3.x),307 maxy = Math.max(p0.y, p1.y, p2.y, p3.y);308 return{ // dojo/gfx.Rectangle309 x: minx,310 y: miny,311 width: maxx - minx,312 height: maxy - miny313 };314 },315 multiply: function(matrix){316 // summary:317 // combines matrices by multiplying them sequentially in the given order318 // matrix: dojox/gfx/matrix.Matrix2D319 // a 2D matrix-like object,320 // all subsequent arguments are matrix-like objects too321 var M = m.normalize(matrix);322 // combine matrices323 for(var i = 1; i < arguments.length; ++i){324 var l = M, r = m.normalize(arguments[i]);325 M = new m.Matrix2D();326 M.xx = l.xx * r.xx + l.xy * r.yx;327 M.xy = l.xx * r.xy + l.xy * r.yy;328 M.yx = l.yx * r.xx + l.yy * r.yx;329 M.yy = l.yx * r.xy + l.yy * r.yy;330 M.dx = l.xx * r.dx + l.xy * r.dy + l.dx;331 M.dy = l.yx * r.dx + l.yy * r.dy + l.dy;332 }333 return M; // dojox/gfx/matrix.Matrix2D334 },335 // high level operations336 _sandwich: function(matrix, x, y){337 // summary:338 // applies a matrix at a central point339 // matrix: dojox/gfx/matrix.Matrix2D340 // a 2D matrix-like object, which is applied at a central point341 // x: Number342 // an x component of the central point343 // y: Number344 // a y component of the central point345 return m.multiply(m.translate(x, y), matrix, m.translate(-x, -y)); // dojox/gfx/matrix.Matrix2D346 },347 scaleAt: function(a, b, c, d){348 // summary:349 // scales a picture using a specified point as a center of scaling350 // description:351 // Compare with dojox/gfx/matrix.scale().352 // a: Number353 // a scaling factor used for the x coordinate, or a uniform scaling factor used for both coordinates354 // b: Number?355 // a scaling factor used for the y coordinate356 // c: Number|Point357 // an x component of a central point, or a central point358 // d: Number359 // a y component of a central point360 // returns: dojox/gfx/matrix.Matrix2D361 switch(arguments.length){362 case 4:363 // a and b are scale factor components, c and d are components of a point364 return m._sandwich(m.scale(a, b), c, d); // dojox/gfx/matrix.Matrix2D365 case 3:366 if(typeof c == "number"){367 return m._sandwich(m.scale(a), b, c); // dojox/gfx/matrix.Matrix2D368 }369 return m._sandwich(m.scale(a, b), c.x, c.y); // dojox/gfx/matrix.Matrix2D370 }371 return m._sandwich(m.scale(a), b.x, b.y); // dojox/gfx/matrix.Matrix2D372 },373 rotateAt: function(angle, a, b){374 // summary:375 // rotates a picture using a specified point as a center of rotation376 // description:377 // Compare with dojox/gfx/matrix.rotate().378 // angle: Number379 // an angle of rotation in radians (>0 for CW)380 // a: Number|dojox/gfx.Point381 // an x component of a central point, or a central point382 // b: Number?383 // a y component of a central point384 // returns: dojox/gfx/matrix.Matrix2D385 if(arguments.length > 2){386 return m._sandwich(m.rotate(angle), a, b); // dojox/gfx/matrix.Matrix2D387 }388 return m._sandwich(m.rotate(angle), a.x, a.y); // dojox/gfx/matrix.Matrix2D389 },390 rotategAt: function(degree, a, b){391 // summary:392 // rotates a picture using a specified point as a center of rotation393 // description:394 // Compare with dojox/gfx/matrix.rotateg().395 // degree: Number396 // an angle of rotation in degrees (>0 for CW)397 // a: Number|dojox/gfx.Point398 // an x component of a central point, or a central point399 // b: Number?400 // a y component of a central point401 // returns: dojox/gfx/matrix.Matrix2D402 if(arguments.length > 2){403 return m._sandwich(m.rotateg(degree), a, b); // dojox/gfx/matrix.Matrix2D404 }405 return m._sandwich(m.rotateg(degree), a.x, a.y); // dojox/gfx/matrix.Matrix2D406 },407 skewXAt: function(angle, a, b){408 // summary:409 // skews a picture along the x axis using a specified point as a center of skewing410 // description:411 // Compare with dojox/gfx/matrix.skewX().412 // angle: Number413 // a skewing angle in radians414 // a: Number|dojox/gfx.Point415 // an x component of a central point, or a central point416 // b: Number?417 // a y component of a central point418 // returns: dojox/gfx/matrix.Matrix2D419 if(arguments.length > 2){420 return m._sandwich(m.skewX(angle), a, b); // dojox/gfx/matrix.Matrix2D421 }422 return m._sandwich(m.skewX(angle), a.x, a.y); // dojox/gfx/matrix.Matrix2D423 },424 skewXgAt: function(degree, a, b){425 // summary:426 // skews a picture along the x axis using a specified point as a center of skewing427 // description:428 // Compare with dojox/gfx/matrix.skewXg().429 // degree: Number430 // a skewing angle in degrees431 // a: Number|dojox/gfx.Point432 // an x component of a central point, or a central point433 // b: Number?434 // a y component of a central point435 // returns: dojox/gfx/matrix.Matrix2D436 if(arguments.length > 2){437 return m._sandwich(m.skewXg(degree), a, b); // dojox/gfx/matrix.Matrix2D438 }439 return m._sandwich(m.skewXg(degree), a.x, a.y); // dojox/gfx/matrix.Matrix2D440 },441 skewYAt: function(angle, a, b){442 // summary:443 // skews a picture along the y axis using a specified point as a center of skewing444 // description:445 // Compare with dojox/gfx/matrix.skewY().446 // angle: Number447 // a skewing angle in radians448 // a: Number|dojox/gfx.Point449 // an x component of a central point, or a central point450 // b: Number?451 // a y component of a central point452 // returns: dojox/gfx/matrix.Matrix2D453 if(arguments.length > 2){454 return m._sandwich(m.skewY(angle), a, b); // dojox/gfx/matrix.Matrix2D455 }456 return m._sandwich(m.skewY(angle), a.x, a.y); // dojox/gfx/matrix.Matrix2D457 },458 skewYgAt: function(/* Number */ degree, /* Number||Point */ a, /* Number? */ b){459 // summary:460 // skews a picture along the y axis using a specified point as a center of skewing461 // description:462 // Compare with dojox/gfx/matrix.skewYg().463 // degree: Number464 // a skewing angle in degrees465 // a: Number|dojox/gfx.Point466 // an x component of a central point, or a central point467 // b: Number?468 // a y component of a central point469 // returns: dojox/gfx/matrix.Matrix2D470 if(arguments.length > 2){471 return m._sandwich(m.skewYg(degree), a, b); // dojox/gfx/matrix.Matrix2D472 }473 return m._sandwich(m.skewYg(degree), a.x, a.y); // dojox/gfx/matrix.Matrix2D474 }475 //TODO: rect-to-rect mapping, scale-to-fit (isotropic and anisotropic versions)476 });477 // propagate Matrix2D up478 g.Matrix2D = m.Matrix2D;479 return m;...

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math.js

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1(function() {2 var module = QUnit.module;3 var test = QUnit.test;4 var Matrix2D = Crafty.math.Matrix2D;5 var Vector2D = Crafty.math.Vector2D;6 // tests for general functions should go here (.abs(), .amountOf(), etc)7 module("Math - Vector2D");8 test("constructor", function(_) {9 var v0 = new Vector2D();10 var v00 = new Vector2D(0, 0);11 var v12 = new Vector2D(1, 2);12 var v12_2 = new Vector2D(v12);13 _.strictEqual(v0.equals(v00), true, "new Vector2D() equals new Vector2D(0, 0)");14 _.strictEqual(v12.equals(v12_2), true, "new Vector2D(1, 2) equals new Vector2D(new Vector2D(1,2))");15 });16 test("add()", function(_) {17 var v12 = new Vector2D(1, 2);18 var v34 = new Vector2D(3, 4);19 var v = new Vector2D(4, 6);20 _.strictEqual(v12.add(v34).equals(v), true, "<1,2> + <3,4> = <4,6>");21 });22 test("angleBetween()", function(_) {23 var v10 = new Vector2D(1, 0);24 var v_11 = new Vector2D(-1, 1);25 var v1_1 = new Vector2D(1, -1);26 _.strictEqual(v10.angleBetween(v_11), 3 * Math.PI / 4, "<1,0>.angleBetween(<0,1>) = 3*PI/4");27 _.strictEqual(v10.angleBetween(v1_1), -Math.PI / 4, "<1,0>.angleBetween(<1,-1>) = -PI/4");28 });29 test("angleTo()", function(_) {30 var v0 = new Vector2D();31 var v11 = new Vector2D(1, 1);32 var v10 = new Vector2D(1, 0);33 var v0_1 = new Vector2D(0, -1);34 _.strictEqual(v0.angleTo(v11), Math.PI / 4, "<0,0>.angleTo(<1,1>) = PI/4");35 _.strictEqual(v10.angleTo(v0_1), -3 * Math.PI / 4, "<1,0>.angleTo(<0,-1>) = -3*PI/4");36 });37 test("clone()", function(_) {38 var v0 = new Vector2D();39 var v3_7 = new Vector2D(3, -7);40 _.strictEqual(v0.equals(v0.clone()), true, "<0,0> = <0,0>.clone()");41 _.strictEqual(v3_7.clone().equals(v3_7), true, "<3,-7>.clone() = <3,-7>");42 });43 test("distance()", function(_) {44 var v0 = new Vector2D();45 var v10 = new Vector2D(1, 0);46 var v11 = new Vector2D(1, 1);47 _.strictEqual(v10.distance(v11), 1, "<1,0>.distance(<1,1>) = 1");48 _.strictEqual(v0.distance(v11), Math.sqrt(2), "<0,0>.distance(<1,1>) = sqrt(2)");49 });50 test("distanceSq()", function(_) {51 var v0 = new Vector2D();52 var v10 = new Vector2D(1, 0);53 var v11 = new Vector2D(1, 1);54 _.strictEqual(v10.distanceSq(v11), 1, "<1,0>.distanceSq(<1,1>) = 1");55 _.strictEqual(v0.distanceSq(v11), 2, "<0,0>.distanceSq(<1,1>) = 2");56 });57 test("divide()", function(_) {58 var v12 = new Vector2D(1, 2);59 var v34 = new Vector2D(3, 4);60 var v = new Vector2D(1 / 3, 2 / 4);61 _.strictEqual(v12.divide(v34).equals(v), true, "<1,2> / <3,4> = <1/3,1/2>");62 });63 test("dotProduct()", function(_) {64 var v12 = new Vector2D(1, 2);65 var v34 = new Vector2D(3, 4);66 var v46 = new Vector2D(4, 6);67 _.strictEqual(v12.dotProduct(v34), 11, "<1,2>.dotProduct(<3,4>) = 11");68 _.strictEqual(v34.dotProduct(v46), 36, "<3,4>.dotProduct(<4,6>) = 36");69 _.strictEqual(v46.dotProduct(v12), 16, "<4,6>.dotProduct(<1,2>) = 16");70 });71 test("crossProduct()", function(_) {72 var v12 = new Vector2D(1, 2);73 var v34 = new Vector2D(3, 4);74 var v46 = new Vector2D(4, 6);75 _.strictEqual(v12.crossProduct(v34), -2, "<1,2>.crossProduct(<3,4>) = -2");76 _.strictEqual(v34.crossProduct(v46), 2, "<3,4>.crossProduct(<4,6>) = 2");77 _.strictEqual(v46.crossProduct(v12), 2, "<4,6>.crossProduct(<1,2>) = 2");78 });79 test("equals()", function(_) {80 var v12 = new Vector2D(1, 2);81 var v34 = new Vector2D(3, 4);82 var v46 = new Vector2D(4, 6);83 _.strictEqual(v12.equals(new Vector2D(1, 2)), true, "<1,2>.equals(<1,2>) = true");84 _.strictEqual(v34.equals(new Vector2D(3, 4)), true, "<3,4>.equals(<3,4>) = true");85 _.strictEqual(v46.equals(new Vector2D(4, 6)), true, "<4,6>.equals(<4,6>) = true");86 });87 test("perpendicular()", function(_) {88 var v10 = new Vector2D(1, 0);89 _.strictEqual(v10.perpendicular().equals(new Vector2D(0, 1)), true, "<1,0>.perpendicular() = <0,1>");90 });91 test("getNormal()", function(_) {92 var v10 = new Vector2D(1, 0);93 var v32 = new Vector2D(3, 2);94 _.strictEqual(v10.getNormal(v32).equals((new Vector2D(1, -1)).normalize()), true, "<1,0>.getNormal(<3,2>) = <sqrt(2)/2,-sqrt(2)/2>");95 });96 test("isZero()", function(_) {97 var v0 = new Vector2D();98 var v10 = new Vector2D(1, 0);99 _.strictEqual(v0.isZero(), true, "<0,0>.isZero() = true");100 _.strictEqual(v10.isZero(), false, "<1,0>.isZero() = false");101 });102 test("magnitude()", function(_) {103 var v0 = new Vector2D();104 var v10 = new Vector2D(1, 0);105 var v_79 = new Vector2D(-7, 9);106 _.strictEqual(v0.magnitude(), 0, "<0,0>.magnitude() = 0");107 _.strictEqual(v10.magnitude(), 1, "<1,0>.magnitude() = 1");108 _.strictEqual(v_79.magnitude(), 11.40175425099138, "<-7,9>.magnitude() = 11.40175425099138");109 });110 test("magnitudeSq()", function(_) {111 var v0 = new Vector2D();112 var v10 = new Vector2D(1, 0);113 var v_79 = new Vector2D(-7, 9);114 _.strictEqual(v0.magnitudeSq(), 0, "<0,0>.magnitudeSq() = 0");115 _.strictEqual(v10.magnitudeSq(), 1, "<1,0>.magnitudeSq() = 1");116 _.strictEqual(v_79.magnitudeSq(), 130, "<-7,9>.magnitudeSq() = 130");117 });118 test("multiply()", function(_) {119 var v12 = new Vector2D(1, 2);120 var v34 = new Vector2D(3, 4);121 var v = new Vector2D(3, 8);122 _.strictEqual(v12.multiply(v34).equals(v), true, "<1,2> * <3,4> = <3,8>");123 });124 test("negate()", function(_) {125 var v_79 = new Vector2D(-7, 9);126 var v7_9 = new Vector2D(7, -9);127 _.strictEqual(v_79.negate().equals(v7_9), true, "<-7,9>.negate() = <7,-9>");128 });129 test("normalize()", function(_) {130 var v0 = new Vector2D();131 var v01 = new Vector2D(0, 1);132 var v_79 = new Vector2D(-7, 9);133 _.strictEqual(v0.normalize().equals(new Vector2D(1, 0)), true, "<0,0>.normalize() = <1,0>");134 _.strictEqual(v01.normalize().equals(new Vector2D(0, 1)), true, "<0,1>.normalize() = <0,1>");135 _.strictEqual(v_79.normalize().equals(new Vector2D(-0.6139406135149205, 0.7893522173763263)), true, "<-7,9>.normalize() = <-0.6139406135149205,0.7893522173763263>");136 });137 test("scale()", function(_) {138 var v11 = new Vector2D(1, 1);139 _.strictEqual(v11.scale(2).equals(new Vector2D(2, 2)), true, "<1,1>.scale(2) = <2,2>");140 _.strictEqual(v11.scale(2, -3).equals(new Vector2D(4, -6)), true, "<2,2>.scale(2, -3) = <4,-6>");141 });142 test("scaleToMagnitude()", function(_) {143 var v34 = new Vector2D(3, 4);144 _.strictEqual(v34.normalize().scaleToMagnitude(5).equals(new Vector2D(3, 4)), true, "<3,4>.normalize().scaleToMagnitude(5) = <3,4>");145 });146 test("setValues", function(_) {147 var v0 = new Vector2D();148 var v12 = new Vector2D(1, 2);149 var v44 = new Vector2D(4, 4);150 _.strictEqual(v0.setValues(1, 2).equals(v12), true, "<0,0>.setValues(<1,2>) = <1,2>");151 _.strictEqual(v0.setValues(v44).equals(v44), true, "<1,2>.setValues(<4,4>) = <4,4>");152 });153 test("subtract()", function(_) {154 var v12 = new Vector2D(1, 2);155 var v34 = new Vector2D(3, 4);156 var v = new Vector2D(-2, -2);157 _.strictEqual(v12.subtract(v34).equals(v), true, "<1,2> - <3,4> = <-2,-2>");158 });159 test("toString()", function(_) {160 var v12 = new Vector2D(1, 2);161 _.strictEqual(v12.toString(), "Vector2D(1, 2)", "<1,2> = \"Vector2D(1, 2)\"");162 });163 test("translate()", function(_) {164 var v11 = new Vector2D(1, 1);165 _.strictEqual(v11.translate(2).equals(new Vector2D(3, 3)), true, "<1,1>.translate(2) = <3,3>");166 _.strictEqual(v11.translate(2, -3).equals(new Vector2D(5, 0)), true, "<3,3>.translate(2, -3) = <5,0>");167 });168 test("tripleProduct()", function(_) {169 var va = new Vector2D(1, 2);170 var vb = new Vector2D(3, 4);171 var vc = new Vector2D(5, 6);172 var vtp = new Vector2D(12, -10);173 _.strictEqual(Vector2D.tripleProduct(va, vb, vc).equals(vtp), true, "tripleProduct(<1,2>, <3,4>, <5,6>) = <10,-12>");174 });175 module("Math - Matrix2D");176 test("apply()", function(_) {177 _.strictEqual((new Matrix2D()).rotate(Math.PI / 2).apply(new Vector2D(1, 2)).equals(new Vector2D(-2, 1.0000000000000002)),178 true, "(new Matrix2D()).rotate(Math.PI/2).apply(new Vector2D(1, 2)).equals(new Vector2D(-2, 1.0000000000000002))");179 });180 test("clone()", function(_) {181 _.strictEqual((new Matrix2D(1, 2, 3, 4, 5, 6)).clone().equals(new Matrix2D(1, 2, 3, 4, 5, 6)),182 true, "(new Matrix2D(1, 2, 3, 4, 5, 6)).clone().equals(new Matrix2D(1, 2, 3, 4, 5, 6))");183 });184 test("combine()", function(_) {185 _.strictEqual((new Matrix2D()).scale(2).combine((new Matrix2D()).rotate(0.75)).equals((new Matrix2D()).scale(2).rotate(0.75)),186 true, "(new Matrix2D()).scale(2).combine((new Matrix2D()).rotate(0.75)).equals((new Matrix2D()).scale(2).rotate(0.75))");187 });188 test("equals()", function(_) {189 _.strictEqual((new Matrix2D()).equals(new Matrix2D()),190 true, "(new Matrix2D()).equals(new Matrix2D())");191 _.strictEqual((new Matrix2D()).scale(2).equals(new Matrix2D()),192 false, "(new Matrix2D()).scale(2).equals(new Matrix2D())");193 });194 test("determinant()", function(_) {195 _.strictEqual((new Matrix2D()).scale(2, 3).rotate(Math.PI / 2).determinant(),196 6, "(new Matrix2D()).scale(2, 3).rotate(Math.PI / 2).determinant()");197 });198 test("invert()", function(_) {199 var m = new Matrix2D(4, 3, 3, 2, 0, 0);200 var m2 = new Matrix2D(-2, 3, 3, -4, 0, 0);201 _.ok( m.invert().equals(m2), "Matrix (4,3,3,2) inverts to (-2,3,3,-4)");202 });203 test("isIdentity()", function(_) {204 _.strictEqual((new Matrix2D()).isIdentity(),205 true, "(new Matrix2D()).isIdentity()");206 _.strictEqual((new Matrix2D()).scale(2).isIdentity(),207 false, "(new Matrix2D()).scale(2).isIdentity()");208 });209 test("isInvertible()", function(_) {210 _.strictEqual((new Matrix2D()).scale(2, 3).rotate(Math.PI / 2).isInvertible(),211 true, "(new Matrix2D()).scale(2, 3).rotate(Math.PI / 2).isInvertible()");212 _.strictEqual((new Matrix2D()).scale(0, 3).rotate(Math.PI / 2).isInvertible(),213 false, "(new Matrix2D()).scale(0, 3).rotate(Math.PI / 2).isInvertible()");214 });215 test("preRotate()", function(_) {216 _.strictEqual((new Matrix2D()).preRotate(0).equals(new Matrix2D()),217 true, "(new Matrix2D()).preRotate(0).equals(new Matrix2D())");218 _.strictEqual((new Matrix2D()).preRotate(Math.PI / 2).equals((new Matrix2D()).rotate(Math.PI / 2)),219 true, "(new Matrix2D()).preRotate(Math.PI / 2).equals((new Matrix2D()).rotate(Math.PI / 2))");220 });221 test("preScale()", function(_) {222 _.strictEqual((new Matrix2D()).preScale(2).equals(new Matrix2D(2, 0, 0, 2, 0, 0)),223 true, "(new Matrix2D()).preScale(2).equals(new Matrix2D(2, 0, 0, 2, 0, 0))");224 _.strictEqual((new Matrix2D()).preScale(2.5).equals((new Matrix2D()).scale(2.5)),225 true, "(new Matrix2D()).preScale(2.5).equals((new Matrix2D()).scale(2.5))");226 });227 test("preTranslate()", function(_) {228 _.strictEqual((new Matrix2D()).preTranslate(1, 2).equals(new Matrix2D(1, 0, 0, 1, 1, 2)),229 true, "(new Matrix2D()).preTranslate(1, 2).equals(new Matrix2D(1, 0, 0, 1, 1, 2)");230 _.strictEqual((new Matrix2D()).preTranslate(1, 2).equals((new Matrix2D()).translate(new Vector2D(1, 2))),231 true, "(new Matrix2D()).preTranslate(1, 2).equals((new Matrix2D()).translate(new Vector2D(1, 2)))");232 _.strictEqual((new Matrix2D()).preTranslate(new Vector2D(1, 2)).equals(new Matrix2D(1, 0, 0, 1, 1, 2)),233 true, "(new Matrix2D()).preTranslate(new Vector2D(1, 2)).equals(new Matrix2D(1, 0, 0, 1, 1, 2))");234 _.strictEqual((new Matrix2D()).preTranslate(new Vector2D(1, 2)).equals((new Matrix2D()).translate(new Vector2D(1, 2))),235 true, "(new Matrix2D()).preTranslate(new Vector2D(1, 2)).equals((new Matrix2D()).translate(new Vector2D(1, 2)))");236 });237 test("rotate()", function(_) {238 _.strictEqual((new Matrix2D()).rotate(0).equals(new Matrix2D()),239 true, "(new Matrix2D()).rotate(0).equals(new Matrix2D())");240 });241 test("scale()", function(_) {242 _.strictEqual((new Matrix2D()).scale(2, 3).equals(new Matrix2D(2, 0, 0, 3, 0, 0)),243 true, "(new Matrix2D()).scale(2, 3).equals(new Matrix2D(2, 0, 0, 3, 0, 0))");244 });245 test("setValues()", function(_) {246 _.strictEqual((new Matrix2D()).setValues(1, 2, 3, 4, 5, 6).equals(new Matrix2D(1, 2, 3, 4, 5, 6)),247 true, "(new Matrix2D()).setValues(1, 2, 3, 4, 5, 6).equals(new Matrix2D(1, 2, 3, 4, 5, 6))");248 });249 test("toString()", function(_) {250 _.strictEqual((new Matrix2D()).toString(),251 "Matrix2D([1, 0, 0] [0, 1, 0] [0, 0, 1])", "(new Matrix2D()).toString()");252 });253 test("translate()", function(_) {254 _.strictEqual((new Matrix2D()).translate(1, 2).equals(new Matrix2D(1, 0, 0, 1, 1, 2)),255 true, "(new Matrix2D()).translate(1, 2).equals(new Matrix2D(1, 0, 0, 1, 1, 2))");256 _.strictEqual((new Matrix2D()).translate(new Vector2D(1, 2)).equals(new Matrix2D(1, 0, 0, 1, 1, 2)),257 true, "(new Matrix2D()).translate(new Vector2D(1, 2)).equals(new Matrix2D(1, 0, 0, 1, 1, 2))");258 });...

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1var wptoolbox = require('wptoolbox');2var matrix2D = wptoolbox.matrix2D;3var matrix = matrix2D.create(2,2);4matrix2D.set(matrix, 0, 0, 1);5matrix2D.set(matrix, 0, 1, 2);6matrix2D.set(matrix, 1, 0, 3);7matrix2D.set(matrix, 1, 1, 4);8console.log(matrix2D.get(matrix, 0, 0));9console.log(matrix2D.get(matrix, 0, 1));10console.log(matrix2D.get(matrix, 1, 0));11console.log(matrix2D.get(matrix, 1, 1));12console.log(matrix2D.get(matrix, 2, 0));13console.log(matrix2D.get(matrix, 2, 1));14console.log(matrix2D.get(matrix, 3, 0));15console.log(matrix2D.get(matrix, 3, 1));16console.log(matrix2D.get(matrix, 4, 4));17console.log(matrix2D.get(matrix, 5, 5));18console.log(matrix2D.get(matrix, 6, 6));19console.log(matrix2D.get(matrix, 7, 7));20console.log(matrix2D.get(matrix, 8, 8));21console.log(matrix2D.get(matrix, 9, 9));22console.log(matrix2D.get(matrix, 10, 10));23console.log(matrix2D.get(matrix, 11, 11));24console.log(matrix2D.get(matrix, 12, 12));25console.log(matrix2D.get(matrix, 13, 13));26console.log(matrix2D.get(matrix, 14, 14));27console.log(matrix2D.get(matrix, 15, 15));28console.log(matrix2D.get(matrix, 16, 16));29console.log(matrix2D.get(matrix, 17, 17));30console.log(matrix2D.get(matrix, 18, 18));31console.log(matrix2D.get(matrix, 19, 19));32console.log(matrix2D.get(matrix, 20, 20));33console.log(matrix2D.get(matrix, 21, 21));34console.log(matrix2D.get(matrix, 22, 22));35console.log(matrix2D.get(matrix, 23, 23));36console.log(matrix2D.get

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1var wpt = require('webpagetest');2var options = {3};4 if (err) return console.error(err);5 console.log(data.data.median.firstView.SpeedIndex);6 console.log(data.data.median.firstView.TTFB);7 console.log(data.data.median.firstView.render);8 console.log(data.data.median.firstView.fullyLoaded);9 console.log(data.data.median.firstView.loadTime);10 console.log(data.data.median.firstView.docTime);11 console.log(data.data.median.firstView.domTime);12 console.log(data.data.median.firstView.domElements);13 console.log(data.data.median.firstView.bytesIn);14 console.log(data.data.median.firstView.bytesOut);15 console.log(data.data.median.firstView.bytesInDoc);16 console.log(data.data.median.firstView.requests);17 console.log(data.data.median.firstView.requestsDoc);18 console.log(data.data.median.firstView.responses_200);19 console.log(data.data.median.firstView.responses_404);20 console.log(data.data.median.firstView.responses_other);21 console.log(data.data.median.firstView.result);22 console.log(data.data.median.firstView.testId);23 console.log(data.data

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1var matrix = new wptoolkit.matrix2D();2matrix.create(3,3);3matrix.set(1,1,1);4matrix.set(2,2,2);5matrix.set(3,3,3);6matrix.set(1,2,4);7matrix.set(2,1,4);8matrix.set(1,3,5);9matrix.set(3,1,5);10matrix.set(2,3,6);11matrix.set(3,2,6);12matrix.print();13matrix.printMatrix();14matrix.printMatrix('html');15matrix.printMatrix('csv');

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1var matrix2D = require('../wptoolkit').matrix2D;2var a = matrix2D(2, 3, 4, 5, 6, 7);3var b = matrix2D(2, 3, 4, 5, 6, 7);4var c = matrix2D(2, 3, 4, 5, 6, 7);5var d = matrix2D(2, 3, 4, 5, 6, 7);6var e = matrix2D(2, 3, 4, 5, 6, 7);7var f = matrix2D(2, 3, 4, 5, 6, 7);8var g = matrix2D(2, 3, 4, 5, 6, 7);9var h = matrix2D(2, 3, 4, 5, 6, 7);10var i = matrix2D(2, 3, 4, 5, 6, 7);11var j = matrix2D(2, 3, 4, 5, 6, 7);12var k = matrix2D(2, 3, 4, 5, 6, 7);13var l = matrix2D(2, 3, 4, 5, 6, 7);14var m = matrix2D(2, 3, 4, 5, 6, 7);15var n = matrix2D(2, 3, 4, 5, 6, 7);16var o = matrix2D(2, 3, 4, 5, 6, 7);17var p = matrix2D(2, 3, 4, 5, 6, 7);18var q = matrix2D(2, 3, 4, 5, 6, 7);19var r = matrix2D(2, 3, 4, 5, 6, 7);20var s = matrix2D(2, 3, 4, 5, 6, 7);21var t = matrix2D(

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1var wptMatrix = require('./wptMatrix.js');2var matrix = wptMatrix.matrix2D;3var myMatrix = new matrix(2,2,[[1,2],[3,4]]);4console.log(myMatrix);5console.log(myMatrix.get(1,1));6myMatrix.set(1,1,5);7console.log(myMatrix.get(1,1));8console.log(myMatrix.add(5));9console.log(myMatrix.add(myMatrix));10console.log(myMatrix.subtract(5));11console.log(myMatrix.subtract(myMatrix));12console.log(myMatrix.multiply(5));13console.log(myMatrix.multiply(myMatrix));14console.log(myMatrix.divide(5));15console.log(myMatrix.divide(myMatrix));16console.log(myMatrix.transpose());17console.log(myMatrix.determinant());18console.log(myMatrix.inverse());19console.log(myMatrix.toString());20var matrix2D = function(rows,cols,values){21 var matrix = [];22 var matrix2D = function(rows,cols,values){23 this.rows = rows;24 this.cols = cols;25 this.values = values;26 this.get = function(row,col){27 return this.values[row][col];28 };29 this.set = function(row,col,value){30 this.values[row][col] = value;31 };32 this.add = function(value){33 var result = [];34 if(typeof(value) === 'number'){35 for(var i=0;i<this.rows;i++){36 result[i] = [];37 for(var j=0;j<this.cols;j++){38 result[i][j] = this.values[i][j] + value;39 }40 }41 }else if(value instanceof matrix2D){42 for(var i=0;i<this.rows;i++){43 result[i] = [];44 for(var j=0;j<this.cols;j++){45 result[i][j] = this.values[i][j] + value.values[i][j];46 }47 }48 }49 return result;50 };51 this.subtract = function(value){52 var result = [];53 if(typeof(value) === 'number'){54 for(var i=0;i<this.rows;i++){55 result[i] = [];56 for(var j=0;j<this.cols;j++){57 result[i][j] = this.values[i][j] - value;58 }59 }60 }else if(value instanceof matrix2D){61 for(var i

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1var wpt = require('./index.js');2var wpt2 = require('wpt');3var wpt3 = require('./index.js');4var wpt4 = require('wpt');5var wpt5 = require('./index.js');6var wpt6 = require('wpt');7var wpt7 = require('./index.js');8var wpt8 = require('wpt');9var wpt9 = require('./index.js');10var wpt10 = require('wpt');11var wpt11 = require('./index.js');12var wpt12 = require('wpt');13var wpt13 = require('./index.js');14var wpt14 = require('wpt');15var wpt15 = require('./index.js');16var wpt16 = require('wpt');17var wpt17 = require('./index.js');18var wpt18 = require('wpt');19var wpt19 = require('./index.js');20var wpt20 = require('wpt');21var wpt21 = require('./index.js');22var wpt22 = require('wpt');23var wpt23 = require('./index.js');24var wpt24 = require('wpt');25var wpt25 = require('./index.js');26var wpt26 = require('wpt');27var wpt27 = require('./index.js');28var wpt28 = require('wpt');29var wpt29 = require('./index.js');30var wpt30 = require('wpt');31var wpt31 = require('./index.js');32var wpt32 = require('wpt');33var wpt33 = require('./index.js');34var wpt34 = require('wpt');35var wpt35 = require('./index.js');36var wpt36 = require('wpt');37var wpt37 = require('./index.js');38var wpt38 = require('wpt');39var wpt39 = require('./index.js');40var wpt40 = require('wpt');41var wpt41 = require('./index.js');42var wpt42 = require('wpt');43var wpt43 = require('./index.js');44var wpt44 = require('wpt');45var wpt45 = require('./index.js');46var wpt46 = require('wpt');47var wpt47 = require('./index.js');48var wpt48 = require('wpt');49var wpt49 = require('./index.js

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1var wptools = require('wptools');2});3var wptools = require('wptools');4});5var wptools = require('wptools');6});7var wptools = require('wptools');8});9var wptools = require('wptools');10});11var wptools = require('wptools');12});13var wptools = require('wptools');14});15var wptools = require('wptools');

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1var wpt = require("wpt");2var wpt = new wpt("API_KEY");3var testScript = "TestScript";4var testLocation = "Dulles:Chrome";5var testRuns = 3;6wpt.test(testUrl, testScript, testLocation, testRuns, function(err, data) {7 if (err) console.log(err);8 console.log(data);9});10var wpt = require("wpt");11var wpt = new wpt("API_KEY");12var testScript = "TestScript";13var testLocation = "Dulles:Chrome";14var testRuns = 3;15wpt.test(testUrl, testScript, testLocation, testRuns, function(err, data) {16 if (err) console.log(err);17 console.log(data);18});19var wpt = require("wpt");20var wpt = new wpt("API_KEY");21var testScript = "TestScript";22var testLocation = "Dulles:Chrome";23var testRuns = 3;24wpt.test(testUrl, testScript, testLocation, testRuns, function(err, data) {25 if (err) console.log(err);26 console.log(data);27});28var wpt = require("wpt");29var wpt = new wpt("API_KEY");30var testScript = "TestScript";31var testLocation = "Dulles:Chrome";32var testRuns = 3;33wpt.test(testUrl, testScript, testLocation, testRuns, function(err, data) {34 if (err) console.log(err);35 console.log(data);36});

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1var wpt = require('./wpt.js');2var matrix = wpt.matrix2D(1,2,3,4,5,6);3console.log(matrix);4### wpt.matrix2D.translate(x, y)5var wpt = require('./wpt.js');6var matrix = wpt.matrix2D.translate(5, 6);7console.log(matrix);8### wpt.matrix2D.scale(x, y)9var wpt = require('./wpt.js');10var matrix = wpt.matrix2D.scale(5, 6);11console.log(matrix);12### wpt.matrix2D.rotate(angle)13var wpt = require('./wpt.js');14var matrix = wpt.matrix2D.rotate(90);15console.log(matrix);

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