1 /**************************************************************************** 2 Copyright (c) 2008-2010 Ricardo Quesada 3 Copyright (c) 2011-2012 cocos2d-x.org 4 Copyright (c) 2013-2014 Chukong Technologies Inc. 5 6 http://www.cocos2d-x.org 7 8 Permission is hereby granted, free of charge, to any person obtaining a copy 9 of this software and associated documentation files (the "Software"), to deal 10 in the Software without restriction, including without limitation the rights 11 to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 12 copies of the Software, and to permit persons to whom the Software is 13 furnished to do so, subject to the following conditions: 14 15 The above copyright notice and this permission notice shall be included in 16 all copies or substantial portions of the Software. 17 18 THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 19 IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 20 FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 21 AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 22 LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 23 OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN 24 THE SOFTWARE. 25 ****************************************************************************/ 26 27 /** 28 * <p>cc.AffineTransform class represent an affine transform matrix. It's composed basically by translation, rotation, scale transformations.<br/> 29 * Please do not use its constructor directly, use cc.affineTransformMake alias function instead. 30 * </p> 31 * @class cc.AffineTransform 32 * @param {Number} a 33 * @param {Number} b 34 * @param {Number} c 35 * @param {Number} d 36 * @param {Number} tx 37 * @param {Number} ty 38 * @see cc.affineTransformMake 39 */ 40 cc.AffineTransform = function (a, b, c, d, tx, ty) { 41 this.a = a; 42 this.b = b; 43 this.c = c; 44 this.d = d; 45 this.tx = tx; 46 this.ty = ty; 47 }; 48 49 /** 50 * Create a cc.AffineTransform object with all contents in the matrix 51 * @function 52 * 53 * @param {Number} a 54 * @param {Number} b 55 * @param {Number} c 56 * @param {Number} d 57 * @param {Number} tx 58 * @param {Number} ty 59 * @return {cc.AffineTransform} 60 */ 61 cc.affineTransformMake = function (a, b, c, d, tx, ty) { 62 return {a: a, b: b, c: c, d: d, tx: tx, ty: ty}; 63 }; 64 65 /** 66 * Apply the affine transformation on a point. 67 * @function 68 * 69 * @param {cc.Point|Number} point or x 70 * @param {cc.AffineTransform|Number} transOrY transform matrix or y 71 * @param {cc.AffineTransform} t transform matrix or y 72 * @return {cc.Point} 73 */ 74 cc.pointApplyAffineTransform = function (point, transOrY, t) { 75 var x, y; 76 if (t === undefined) { 77 t = transOrY; 78 x = point.x; 79 y = point.y; 80 } else { 81 x = point; 82 y = transOrY; 83 } 84 return {x: t.a * x + t.c * y + t.tx, y: t.b * x + t.d * y + t.ty}; 85 }; 86 87 cc._pointApplyAffineTransform = function (x, y, t) { //it will remove. 88 return cc.pointApplyAffineTransform(x, y, t); 89 }; 90 91 /** 92 * Apply the affine transformation on a size. 93 * @function 94 * 95 * @param {cc.Size} size 96 * @param {cc.AffineTransform} t 97 * @return {cc.Size} 98 */ 99 cc.sizeApplyAffineTransform = function (size, t) { 100 return {width: t.a * size.width + t.c * size.height, height: t.b * size.width + t.d * size.height}; 101 }; 102 103 /** 104 * <p>Create a identity transformation matrix: <br/> 105 * [ 1, 0, 0, <br/> 106 * 0, 1, 0 ]</p> 107 * @function 108 * 109 * @return {cc.AffineTransform} 110 */ 111 cc.affineTransformMakeIdentity = function () { 112 return {a: 1.0, b: 0.0, c: 0.0, d: 1.0, tx: 0.0, ty: 0.0}; 113 }; 114 115 /** 116 * <p>Create a identity transformation matrix: <br/> 117 * [ 1, 0, 0, <br/> 118 * 0, 1, 0 ]</p> 119 * @function 120 * 121 * @return {cc.AffineTransform} 122 * @deprecated since v3.0, please use cc.affineTransformMakeIdentity() instead 123 * @see cc.affineTransformMakeIdentity 124 */ 125 cc.affineTransformIdentity = function () { 126 return {a: 1.0, b: 0.0, c: 0.0, d: 1.0, tx: 0.0, ty: 0.0}; 127 }; 128 129 /** 130 * Apply the affine transformation on a rect. 131 * @function 132 * 133 * @param {cc.Rect} rect 134 * @param {cc.AffineTransform} anAffineTransform 135 * @return {cc.Rect} 136 */ 137 cc.rectApplyAffineTransform = function (rect, anAffineTransform) { 138 var top = cc.rectGetMinY(rect); 139 var left = cc.rectGetMinX(rect); 140 var right = cc.rectGetMaxX(rect); 141 var bottom = cc.rectGetMaxY(rect); 142 143 var topLeft = cc.pointApplyAffineTransform(left, top, anAffineTransform); 144 var topRight = cc.pointApplyAffineTransform(right, top, anAffineTransform); 145 var bottomLeft = cc.pointApplyAffineTransform(left, bottom, anAffineTransform); 146 var bottomRight = cc.pointApplyAffineTransform(right, bottom, anAffineTransform); 147 148 var minX = Math.min(topLeft.x, topRight.x, bottomLeft.x, bottomRight.x); 149 var maxX = Math.max(topLeft.x, topRight.x, bottomLeft.x, bottomRight.x); 150 var minY = Math.min(topLeft.y, topRight.y, bottomLeft.y, bottomRight.y); 151 var maxY = Math.max(topLeft.y, topRight.y, bottomLeft.y, bottomRight.y); 152 153 return cc.rect(minX, minY, (maxX - minX), (maxY - minY)); 154 }; 155 156 cc._rectApplyAffineTransformIn = function(rect, anAffineTransform){ 157 var top = cc.rectGetMinY(rect); 158 var left = cc.rectGetMinX(rect); 159 var right = cc.rectGetMaxX(rect); 160 var bottom = cc.rectGetMaxY(rect); 161 162 var topLeft = cc.pointApplyAffineTransform(left, top, anAffineTransform); 163 var topRight = cc.pointApplyAffineTransform(right, top, anAffineTransform); 164 var bottomLeft = cc.pointApplyAffineTransform(left, bottom, anAffineTransform); 165 var bottomRight = cc.pointApplyAffineTransform(right, bottom, anAffineTransform); 166 167 var minX = Math.min(topLeft.x, topRight.x, bottomLeft.x, bottomRight.x); 168 var maxX = Math.max(topLeft.x, topRight.x, bottomLeft.x, bottomRight.x); 169 var minY = Math.min(topLeft.y, topRight.y, bottomLeft.y, bottomRight.y); 170 var maxY = Math.max(topLeft.y, topRight.y, bottomLeft.y, bottomRight.y); 171 172 rect.x = minX; 173 rect.y = minY; 174 rect.width = maxX - minX; 175 rect.height = maxY - minY; 176 return rect; 177 }; 178 179 /** 180 * Create a new affine transformation with a base transformation matrix and a translation based on it. 181 * @function 182 * 183 * @param {cc.AffineTransform} t The base affine transform object 184 * @param {Number} tx The translation on x axis 185 * @param {Number} ty The translation on y axis 186 * @return {cc.AffineTransform} 187 */ 188 cc.affineTransformTranslate = function (t, tx, ty) { 189 return { 190 a: t.a, 191 b: t.b, 192 c: t.c, 193 d: t.d, 194 tx: t.tx + t.a * tx + t.c * ty, 195 ty: t.ty + t.b * tx + t.d * ty 196 }; 197 }; 198 199 /** 200 * Create a new affine transformation with a base transformation matrix and a scale based on it. 201 * @function 202 * @param {cc.AffineTransform} t The base affine transform object 203 * @param {Number} sx The scale on x axis 204 * @param {Number} sy The scale on y axis 205 * @return {cc.AffineTransform} 206 */ 207 cc.affineTransformScale = function (t, sx, sy) { 208 return {a: t.a * sx, b: t.b * sx, c: t.c * sy, d: t.d * sy, tx: t.tx, ty: t.ty}; 209 }; 210 211 /** 212 * Create a new affine transformation with a base transformation matrix and a rotation based on it. 213 * @function 214 * @param {cc.AffineTransform} aTransform The base affine transform object 215 * @param {Number} anAngle The angle to rotate 216 * @return {cc.AffineTransform} 217 */ 218 cc.affineTransformRotate = function (aTransform, anAngle) { 219 var fSin = Math.sin(anAngle); 220 var fCos = Math.cos(anAngle); 221 222 return {a: aTransform.a * fCos + aTransform.c * fSin, 223 b: aTransform.b * fCos + aTransform.d * fSin, 224 c: aTransform.c * fCos - aTransform.a * fSin, 225 d: aTransform.d * fCos - aTransform.b * fSin, 226 tx: aTransform.tx, 227 ty: aTransform.ty}; 228 }; 229 230 /** 231 * Concatenate a transform matrix to another and return the result:<br/> 232 * t' = t1 * t2 233 * @function 234 * @param {cc.AffineTransform} t1 The first transform object 235 * @param {cc.AffineTransform} t2 The transform object to concatenate 236 * @return {cc.AffineTransform} The result of concatenation 237 */ 238 cc.affineTransformConcat = function (t1, t2) { 239 return {a: t1.a * t2.a + t1.b * t2.c, //a 240 b: t1.a * t2.b + t1.b * t2.d, //b 241 c: t1.c * t2.a + t1.d * t2.c, //c 242 d: t1.c * t2.b + t1.d * t2.d, //d 243 tx: t1.tx * t2.a + t1.ty * t2.c + t2.tx, //tx 244 ty: t1.tx * t2.b + t1.ty * t2.d + t2.ty}; //ty 245 }; 246 247 /** 248 * Concatenate a transform matrix to another<br/> 249 * The results are reflected in the first matrix.<br/> 250 * t' = t1 * t2 251 * @function 252 * @param {cc.AffineTransform} t1 The first transform object 253 * @param {cc.AffineTransform} t2 The transform object to concatenate 254 * @return {cc.AffineTransform} The result of concatenation 255 */ 256 cc.affineTransformConcatIn = function (t1, t2) { 257 var a = t1.a, b = t1.b, c = t1.c, d = t1.d, tx = t1.tx, ty = t1.ty; 258 t1.a = a * t2.a + b * t2.c; 259 t1.b = a * t2.b + b * t2.d; 260 t1.c = c * t2.a + d * t2.c; 261 t1.d = c * t2.b + d * t2.d; 262 t1.tx = tx * t2.a + ty * t2.c + t2.tx; 263 t1.ty = tx * t2.b + ty * t2.d + t2.ty; 264 return t1; 265 }; 266 267 /** 268 * Return true if an affine transform equals to another, false otherwise. 269 * @function 270 * @param {cc.AffineTransform} t1 271 * @param {cc.AffineTransform} t2 272 * @return {Boolean} 273 */ 274 cc.affineTransformEqualToTransform = function (t1, t2) { 275 return ((t1.a === t2.a) && (t1.b === t2.b) && (t1.c === t2.c) && (t1.d === t2.d) && (t1.tx === t2.tx) && (t1.ty === t2.ty)); 276 }; 277 278 /** 279 * Get the invert transform of an AffineTransform object 280 * @function 281 * @param {cc.AffineTransform} t 282 * @return {cc.AffineTransform} The inverted transform object 283 */ 284 cc.affineTransformInvert = function (t) { 285 var determinant = 1 / (t.a * t.d - t.b * t.c); 286 return {a: determinant * t.d, b: -determinant * t.b, c: -determinant * t.c, d: determinant * t.a, 287 tx: determinant * (t.c * t.ty - t.d * t.tx), ty: determinant * (t.b * t.tx - t.a * t.ty)}; 288 }; 289