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| 1 /* libs/corecg/SkMatrix.cpp | |
| 2 ** | |
| 3 ** Copyright 2006, The Android Open Source Project | |
| 4 ** | |
| 5 ** Licensed under the Apache License, Version 2.0 (the "License"); | |
| 6 ** you may not use this file except in compliance with the License. | |
| 7 ** You may obtain a copy of the License at | |
| 8 ** | |
| 9 ** http://www.apache.org/licenses/LICENSE-2.0 | |
| 10 ** | |
| 11 ** Unless required by applicable law or agreed to in writing, software | |
| 12 ** distributed under the License is distributed on an "AS IS" BASIS, | |
| 13 ** WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | |
| 14 ** See the License for the specific language governing permissions and | |
| 15 ** limitations under the License. | |
| 16 */ | |
| 17 | |
| 18 #include "SkMatrix.h" | |
| 19 #include "Sk64.h" | |
| 20 #include "SkFloatBits.h" | |
| 21 | |
| 22 #ifdef SK_SCALAR_IS_FLOAT | |
| 23 #define kMatrix22Elem SK_Scalar1 | |
| 24 #else | |
| 25 #define kMatrix22Elem SK_Fract1 | |
| 26 #endif | |
| 27 | |
| 28 /* [scale-x skew-x trans-x] [X] [X'] | |
| 29 [skew-y scale-y trans-y] * [Y] = [Y'] | |
| 30 [persp-0 persp-1 persp-2] [1] [1 ] | |
| 31 */ | |
| 32 | |
| 33 void SkMatrix::reset() { | |
| 34 fMat[kMScaleX] = fMat[kMScaleY] = SK_Scalar1; | |
| 35 fMat[kMSkewX] = fMat[kMSkewY] = | |
| 36 fMat[kMTransX] = fMat[kMTransY] = | |
| 37 fMat[kMPersp0] = fMat[kMPersp1] = 0; | |
| 38 fMat[kMPersp2] = kMatrix22Elem; | |
| 39 | |
| 40 this->setTypeMask(kIdentity_Mask | kRectStaysRect_Mask); | |
| 41 } | |
| 42 | |
| 43 static inline int has_perspective(const SkMatrix& matrix) { | |
| 44 return matrix.getType() & SkMatrix::kPerspective_Mask; | |
| 45 } | |
| 46 | |
| 47 // this guy aligns with the masks, so we can compute a mask from a varaible 0/1 | |
| 48 enum { | |
| 49 kTranslate_Shift, | |
| 50 kScale_Shift, | |
| 51 kAffine_Shift, | |
| 52 kPerspective_Shift, | |
| 53 kRectStaysRect_Shift | |
| 54 }; | |
| 55 | |
| 56 #ifdef SK_SCALAR_IS_FLOAT | |
| 57 static const int32_t kScalar1Int = 0x3f800000; | |
| 58 static const int32_t kPersp1Int = 0x3f800000; | |
| 59 #else | |
| 60 #define scalarAsInt(x) (x) | |
| 61 static const int32_t kScalar1Int = (1 << 16); | |
| 62 static const int32_t kPersp1Int = (1 << 30); | |
| 63 #endif | |
| 64 | |
| 65 uint8_t SkMatrix::computeTypeMask() const { | |
| 66 unsigned mask = 0; | |
| 67 | |
| 68 if (SkScalarAs2sCompliment(fMat[kMPersp0]) | | |
| 69 SkScalarAs2sCompliment(fMat[kMPersp1]) | | |
| 70 (SkScalarAs2sCompliment(fMat[kMPersp2]) - kPersp1Int)) { | |
| 71 mask |= kPerspective_Mask; | |
| 72 } | |
| 73 | |
| 74 if (SkScalarAs2sCompliment(fMat[kMTransX]) | | |
| 75 SkScalarAs2sCompliment(fMat[kMTransY])) { | |
| 76 mask |= kTranslate_Mask; | |
| 77 } | |
| 78 | |
| 79 int m00 = SkScalarAs2sCompliment(fMat[SkMatrix::kMScaleX]); | |
| 80 int m01 = SkScalarAs2sCompliment(fMat[SkMatrix::kMSkewX]); | |
| 81 int m10 = SkScalarAs2sCompliment(fMat[SkMatrix::kMSkewY]); | |
| 82 int m11 = SkScalarAs2sCompliment(fMat[SkMatrix::kMScaleY]); | |
| 83 | |
| 84 if (m01 | m10) { | |
| 85 mask |= kAffine_Mask; | |
| 86 } | |
| 87 | |
| 88 if ((m00 - kScalar1Int) | (m11 - kScalar1Int)) { | |
| 89 mask |= kScale_Mask; | |
| 90 } | |
| 91 | |
| 92 if ((mask & kPerspective_Mask) == 0) { | |
| 93 // map non-zero to 1 | |
| 94 m00 = m00 != 0; | |
| 95 m01 = m01 != 0; | |
| 96 m10 = m10 != 0; | |
| 97 m11 = m11 != 0; | |
| 98 | |
| 99 // record if the (p)rimary and (s)econdary diagonals are all 0 or | |
| 100 // all non-zero (answer is 0 or 1) | |
| 101 int dp0 = (m00 | m11) ^ 1; // true if both are 0 | |
| 102 int dp1 = m00 & m11; // true if both are 1 | |
| 103 int ds0 = (m01 | m10) ^ 1; // true if both are 0 | |
| 104 int ds1 = m01 & m10; // true if both are 1 | |
| 105 | |
| 106 // return 1 if primary is 1 and secondary is 0 or | |
| 107 // primary is 0 and secondary is 1 | |
| 108 mask |= ((dp0 & ds1) | (dp1 & ds0)) << kRectStaysRect_Shift; | |
| 109 } | |
| 110 | |
| 111 return SkToU8(mask); | |
| 112 } | |
| 113 | |
| 114 /////////////////////////////////////////////////////////////////////////////// | |
| 115 | |
| 116 void SkMatrix::setTranslate(SkScalar dx, SkScalar dy) { | |
| 117 if (SkScalarAs2sCompliment(dx) | SkScalarAs2sCompliment(dy)) { | |
| 118 fMat[kMTransX] = dx; | |
| 119 fMat[kMTransY] = dy; | |
| 120 | |
| 121 fMat[kMScaleX] = fMat[kMScaleY] = SK_Scalar1; | |
| 122 fMat[kMSkewX] = fMat[kMSkewY] = | |
| 123 fMat[kMPersp0] = fMat[kMPersp1] = 0; | |
| 124 fMat[kMPersp2] = kMatrix22Elem; | |
| 125 | |
| 126 this->setTypeMask(kTranslate_Mask | kRectStaysRect_Mask); | |
| 127 } else { | |
| 128 this->reset(); | |
| 129 } | |
| 130 } | |
| 131 | |
| 132 bool SkMatrix::preTranslate(SkScalar dx, SkScalar dy) { | |
| 133 if (has_perspective(*this)) { | |
| 134 SkMatrix m; | |
| 135 m.setTranslate(dx, dy); | |
| 136 return this->preConcat(m); | |
| 137 } | |
| 138 | |
| 139 if (SkScalarAs2sCompliment(dx) | SkScalarAs2sCompliment(dy)) { | |
| 140 fMat[kMTransX] += SkScalarMul(fMat[kMScaleX], dx) + | |
| 141 SkScalarMul(fMat[kMSkewX], dy); | |
| 142 fMat[kMTransY] += SkScalarMul(fMat[kMSkewY], dx) + | |
| 143 SkScalarMul(fMat[kMScaleY], dy); | |
| 144 | |
| 145 this->setTypeMask(kUnknown_Mask); | |
| 146 } | |
| 147 return true; | |
| 148 } | |
| 149 | |
| 150 bool SkMatrix::postTranslate(SkScalar dx, SkScalar dy) { | |
| 151 if (has_perspective(*this)) { | |
| 152 SkMatrix m; | |
| 153 m.setTranslate(dx, dy); | |
| 154 return this->postConcat(m); | |
| 155 } | |
| 156 | |
| 157 if (SkScalarAs2sCompliment(dx) | SkScalarAs2sCompliment(dy)) { | |
| 158 fMat[kMTransX] += dx; | |
| 159 fMat[kMTransY] += dy; | |
| 160 this->setTypeMask(kUnknown_Mask); | |
| 161 } | |
| 162 return true; | |
| 163 } | |
| 164 | |
| 165 /////////////////////////////////////////////////////////////////////////////// | |
| 166 | |
| 167 void SkMatrix::setScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { | |
| 168 fMat[kMScaleX] = sx; | |
| 169 fMat[kMScaleY] = sy; | |
| 170 fMat[kMTransX] = px - SkScalarMul(sx, px); | |
| 171 fMat[kMTransY] = py - SkScalarMul(sy, py); | |
| 172 fMat[kMPersp2] = kMatrix22Elem; | |
| 173 | |
| 174 fMat[kMSkewX] = fMat[kMSkewY] = | |
| 175 fMat[kMPersp0] = fMat[kMPersp1] = 0; | |
| 176 | |
| 177 this->setTypeMask(kScale_Mask | kTranslate_Mask | kRectStaysRect_Mask); | |
| 178 } | |
| 179 | |
| 180 void SkMatrix::setScale(SkScalar sx, SkScalar sy) { | |
| 181 fMat[kMScaleX] = sx; | |
| 182 fMat[kMScaleY] = sy; | |
| 183 fMat[kMPersp2] = kMatrix22Elem; | |
| 184 | |
| 185 fMat[kMTransX] = fMat[kMTransY] = | |
| 186 fMat[kMSkewX] = fMat[kMSkewY] = | |
| 187 fMat[kMPersp0] = fMat[kMPersp1] = 0; | |
| 188 | |
| 189 this->setTypeMask(kScale_Mask | kRectStaysRect_Mask); | |
| 190 } | |
| 191 | |
| 192 bool SkMatrix::preScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { | |
| 193 SkMatrix m; | |
| 194 m.setScale(sx, sy, px, py); | |
| 195 return this->preConcat(m); | |
| 196 } | |
| 197 | |
| 198 bool SkMatrix::preScale(SkScalar sx, SkScalar sy) { | |
| 199 SkMatrix m; | |
| 200 m.setScale(sx, sy); | |
| 201 return this->preConcat(m); | |
| 202 } | |
| 203 | |
| 204 bool SkMatrix::postScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { | |
| 205 SkMatrix m; | |
| 206 m.setScale(sx, sy, px, py); | |
| 207 return this->postConcat(m); | |
| 208 } | |
| 209 | |
| 210 bool SkMatrix::postScale(SkScalar sx, SkScalar sy) { | |
| 211 SkMatrix m; | |
| 212 m.setScale(sx, sy); | |
| 213 return this->postConcat(m); | |
| 214 } | |
| 215 | |
| 216 #ifdef SK_SCALAR_IS_FIXED | |
| 217 static inline SkFixed roundidiv(SkFixed numer, int denom) { | |
| 218 int ns = numer >> 31; | |
| 219 int ds = denom >> 31; | |
| 220 numer = (numer ^ ns) - ns; | |
| 221 denom = (denom ^ ds) - ds; | |
| 222 | |
| 223 SkFixed answer = (numer + (denom >> 1)) / denom; | |
| 224 int as = ns ^ ds; | |
| 225 return (answer ^ as) - as; | |
| 226 } | |
| 227 #endif | |
| 228 | |
| 229 // this guy perhaps can go away, if we have a fract/high-precision way to | |
| 230 // scale matrices | |
| 231 bool SkMatrix::postIDiv(int divx, int divy) { | |
| 232 if (divx == 0 || divy == 0) { | |
| 233 return false; | |
| 234 } | |
| 235 | |
| 236 #ifdef SK_SCALAR_IS_FIXED | |
| 237 fMat[kMScaleX] = roundidiv(fMat[kMScaleX], divx); | |
| 238 fMat[kMSkewX] = roundidiv(fMat[kMSkewX], divx); | |
| 239 fMat[kMTransX] = roundidiv(fMat[kMTransX], divx); | |
| 240 | |
| 241 fMat[kMScaleY] = roundidiv(fMat[kMScaleY], divy); | |
| 242 fMat[kMSkewY] = roundidiv(fMat[kMSkewY], divy); | |
| 243 fMat[kMTransY] = roundidiv(fMat[kMTransY], divy); | |
| 244 #else | |
| 245 const float invX = 1.f / divx; | |
| 246 const float invY = 1.f / divy; | |
| 247 | |
| 248 fMat[kMScaleX] *= invX; | |
| 249 fMat[kMSkewX] *= invX; | |
| 250 fMat[kMTransX] *= invX; | |
| 251 | |
| 252 fMat[kMScaleY] *= invY; | |
| 253 fMat[kMSkewY] *= invY; | |
| 254 fMat[kMTransY] *= invY; | |
| 255 #endif | |
| 256 | |
| 257 this->setTypeMask(kUnknown_Mask); | |
| 258 return true; | |
| 259 } | |
| 260 | |
| 261 ////////////////////////////////////////////////////////////////////////////////
//// | |
| 262 | |
| 263 void SkMatrix::setSinCos(SkScalar sinV, SkScalar cosV, | |
| 264 SkScalar px, SkScalar py) { | |
| 265 const SkScalar oneMinusCosV = SK_Scalar1 - cosV; | |
| 266 | |
| 267 fMat[kMScaleX] = cosV; | |
| 268 fMat[kMSkewX] = -sinV; | |
| 269 fMat[kMTransX] = SkScalarMul(sinV, py) + SkScalarMul(oneMinusCosV, px); | |
| 270 | |
| 271 fMat[kMSkewY] = sinV; | |
| 272 fMat[kMScaleY] = cosV; | |
| 273 fMat[kMTransY] = SkScalarMul(-sinV, px) + SkScalarMul(oneMinusCosV, py); | |
| 274 | |
| 275 fMat[kMPersp0] = fMat[kMPersp1] = 0; | |
| 276 fMat[kMPersp2] = kMatrix22Elem; | |
| 277 | |
| 278 this->setTypeMask(kUnknown_Mask); | |
| 279 } | |
| 280 | |
| 281 void SkMatrix::setSinCos(SkScalar sinV, SkScalar cosV) { | |
| 282 fMat[kMScaleX] = cosV; | |
| 283 fMat[kMSkewX] = -sinV; | |
| 284 fMat[kMTransX] = 0; | |
| 285 | |
| 286 fMat[kMSkewY] = sinV; | |
| 287 fMat[kMScaleY] = cosV; | |
| 288 fMat[kMTransY] = 0; | |
| 289 | |
| 290 fMat[kMPersp0] = fMat[kMPersp1] = 0; | |
| 291 fMat[kMPersp2] = kMatrix22Elem; | |
| 292 | |
| 293 this->setTypeMask(kUnknown_Mask); | |
| 294 } | |
| 295 | |
| 296 void SkMatrix::setRotate(SkScalar degrees, SkScalar px, SkScalar py) { | |
| 297 SkScalar sinV, cosV; | |
| 298 sinV = SkScalarSinCos(SkDegreesToRadians(degrees), &cosV); | |
| 299 this->setSinCos(sinV, cosV, px, py); | |
| 300 } | |
| 301 | |
| 302 void SkMatrix::setRotate(SkScalar degrees) { | |
| 303 SkScalar sinV, cosV; | |
| 304 sinV = SkScalarSinCos(SkDegreesToRadians(degrees), &cosV); | |
| 305 this->setSinCos(sinV, cosV); | |
| 306 } | |
| 307 | |
| 308 bool SkMatrix::preRotate(SkScalar degrees, SkScalar px, SkScalar py) { | |
| 309 SkMatrix m; | |
| 310 m.setRotate(degrees, px, py); | |
| 311 return this->preConcat(m); | |
| 312 } | |
| 313 | |
| 314 bool SkMatrix::preRotate(SkScalar degrees) { | |
| 315 SkMatrix m; | |
| 316 m.setRotate(degrees); | |
| 317 return this->preConcat(m); | |
| 318 } | |
| 319 | |
| 320 bool SkMatrix::postRotate(SkScalar degrees, SkScalar px, SkScalar py) { | |
| 321 SkMatrix m; | |
| 322 m.setRotate(degrees, px, py); | |
| 323 return this->postConcat(m); | |
| 324 } | |
| 325 | |
| 326 bool SkMatrix::postRotate(SkScalar degrees) { | |
| 327 SkMatrix m; | |
| 328 m.setRotate(degrees); | |
| 329 return this->postConcat(m); | |
| 330 } | |
| 331 | |
| 332 ////////////////////////////////////////////////////////////////////////////////
//// | |
| 333 | |
| 334 void SkMatrix::setSkew(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { | |
| 335 fMat[kMScaleX] = SK_Scalar1; | |
| 336 fMat[kMSkewX] = sx; | |
| 337 fMat[kMTransX] = SkScalarMul(-sx, py); | |
| 338 | |
| 339 fMat[kMSkewY] = sy; | |
| 340 fMat[kMScaleY] = SK_Scalar1; | |
| 341 fMat[kMTransY] = SkScalarMul(-sy, px); | |
| 342 | |
| 343 fMat[kMPersp0] = fMat[kMPersp1] = 0; | |
| 344 fMat[kMPersp2] = kMatrix22Elem; | |
| 345 | |
| 346 this->setTypeMask(kUnknown_Mask); | |
| 347 } | |
| 348 | |
| 349 void SkMatrix::setSkew(SkScalar sx, SkScalar sy) { | |
| 350 fMat[kMScaleX] = SK_Scalar1; | |
| 351 fMat[kMSkewX] = sx; | |
| 352 fMat[kMTransX] = 0; | |
| 353 | |
| 354 fMat[kMSkewY] = sy; | |
| 355 fMat[kMScaleY] = SK_Scalar1; | |
| 356 fMat[kMTransY] = 0; | |
| 357 | |
| 358 fMat[kMPersp0] = fMat[kMPersp1] = 0; | |
| 359 fMat[kMPersp2] = kMatrix22Elem; | |
| 360 | |
| 361 this->setTypeMask(kUnknown_Mask); | |
| 362 } | |
| 363 | |
| 364 bool SkMatrix::preSkew(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { | |
| 365 SkMatrix m; | |
| 366 m.setSkew(sx, sy, px, py); | |
| 367 return this->preConcat(m); | |
| 368 } | |
| 369 | |
| 370 bool SkMatrix::preSkew(SkScalar sx, SkScalar sy) { | |
| 371 SkMatrix m; | |
| 372 m.setSkew(sx, sy); | |
| 373 return this->preConcat(m); | |
| 374 } | |
| 375 | |
| 376 bool SkMatrix::postSkew(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { | |
| 377 SkMatrix m; | |
| 378 m.setSkew(sx, sy, px, py); | |
| 379 return this->postConcat(m); | |
| 380 } | |
| 381 | |
| 382 bool SkMatrix::postSkew(SkScalar sx, SkScalar sy) { | |
| 383 SkMatrix m; | |
| 384 m.setSkew(sx, sy); | |
| 385 return this->postConcat(m); | |
| 386 } | |
| 387 | |
| 388 /////////////////////////////////////////////////////////////////////////////// | |
| 389 | |
| 390 bool SkMatrix::setRectToRect(const SkRect& src, const SkRect& dst, | |
| 391 ScaleToFit align) | |
| 392 { | |
| 393 if (src.isEmpty()) { | |
| 394 this->reset(); | |
| 395 return false; | |
| 396 } | |
| 397 | |
| 398 if (dst.isEmpty()) { | |
| 399 bzero(fMat, 8 * sizeof(SkScalar)); | |
| 400 this->setTypeMask(kScale_Mask | kRectStaysRect_Mask); | |
| 401 } else { | |
| 402 SkScalar tx, sx = SkScalarDiv(dst.width(), src.width()); | |
| 403 SkScalar ty, sy = SkScalarDiv(dst.height(), src.height()); | |
| 404 bool xLarger = false; | |
| 405 | |
| 406 if (align != kFill_ScaleToFit) { | |
| 407 if (sx > sy) { | |
| 408 xLarger = true; | |
| 409 sx = sy; | |
| 410 } else { | |
| 411 sy = sx; | |
| 412 } | |
| 413 } | |
| 414 | |
| 415 tx = dst.fLeft - SkScalarMul(src.fLeft, sx); | |
| 416 ty = dst.fTop - SkScalarMul(src.fTop, sy); | |
| 417 if (align == kCenter_ScaleToFit || align == kEnd_ScaleToFit) { | |
| 418 SkScalar diff; | |
| 419 | |
| 420 if (xLarger) { | |
| 421 diff = dst.width() - SkScalarMul(src.width(), sy); | |
| 422 } else { | |
| 423 diff = dst.height() - SkScalarMul(src.height(), sy); | |
| 424 } | |
| 425 | |
| 426 if (align == kCenter_ScaleToFit) { | |
| 427 diff = SkScalarHalf(diff); | |
| 428 } | |
| 429 | |
| 430 if (xLarger) { | |
| 431 tx += diff; | |
| 432 } else { | |
| 433 ty += diff; | |
| 434 } | |
| 435 } | |
| 436 | |
| 437 fMat[kMScaleX] = sx; | |
| 438 fMat[kMScaleY] = sy; | |
| 439 fMat[kMTransX] = tx; | |
| 440 fMat[kMTransY] = ty; | |
| 441 fMat[kMSkewX] = fMat[kMSkewY] = | |
| 442 fMat[kMPersp0] = fMat[kMPersp1] = 0; | |
| 443 | |
| 444 this->setTypeMask(kScale_Mask | kTranslate_Mask | kRectStaysRect_Mask); | |
| 445 } | |
| 446 // shared cleanup | |
| 447 fMat[kMPersp2] = kMatrix22Elem; | |
| 448 return true; | |
| 449 } | |
| 450 | |
| 451 /////////////////////////////////////////////////////////////////////////////// | |
| 452 | |
| 453 #ifdef SK_SCALAR_IS_FLOAT | |
| 454 static inline int fixmuladdmul(float a, float b, float c, float d, | |
| 455 float* result) { | |
| 456 *result = a * b + c * d; | |
| 457 return true; | |
| 458 } | |
| 459 | |
| 460 static inline int fixmuladdmulshiftmul(float a, float b, float c, float d, | |
| 461 int /*shift not used*/, float scale, float* result) { | |
| 462 *result = (a * b + c * d) * scale; | |
| 463 return true; | |
| 464 } | |
| 465 | |
| 466 static inline bool rowcol3(const float row[], const float col[], | |
| 467 float* result) { | |
| 468 *result = row[0] * col[0] + row[1] * col[3] + row[2] * col[6]; | |
| 469 return true; | |
| 470 } | |
| 471 | |
| 472 static inline int negifaddoverflows(float& result, float a, float b) { | |
| 473 result = a + b; | |
| 474 return 0; | |
| 475 } | |
| 476 #else | |
| 477 static inline bool fixmuladdmul(SkFixed a, SkFixed b, SkFixed c, SkFixed d, | |
| 478 SkFixed* result) { | |
| 479 Sk64 tmp1, tmp2; | |
| 480 tmp1.setMul(a, b); | |
| 481 tmp2.setMul(c, d); | |
| 482 tmp1.add(tmp2); | |
| 483 if (tmp1.isFixed()) { | |
| 484 *result = tmp1.getFixed(); | |
| 485 return true; | |
| 486 } | |
| 487 return false; | |
| 488 } | |
| 489 | |
| 490 static inline bool fixmuladdmulshiftmul(SkFixed a, SkFixed b, SkFixed c, | |
| 491 SkFixed d, int shift, SkFixed scale, SkFixed* result) { | |
| 492 Sk64 tmp1, tmp2; | |
| 493 tmp1.setMul(a, b); | |
| 494 tmp2.setMul(c, d); | |
| 495 tmp1.add(tmp2); | |
| 496 | |
| 497 int32_t hi = SkAbs32(tmp1.fHi); | |
| 498 int afterShift = 16; | |
| 499 if (hi >> 15) { | |
| 500 int clz = 17 - SkCLZ(hi); | |
| 501 SkASSERT(clz > 0 && clz <= 16); | |
| 502 afterShift -= clz; | |
| 503 shift += clz; | |
| 504 } | |
| 505 | |
| 506 tmp1.roundRight(shift + 16); | |
| 507 SkASSERT(tmp1.is32()); | |
| 508 | |
| 509 tmp1.setMul(tmp1.get32(), scale); | |
| 510 tmp1.roundRight(afterShift); | |
| 511 if (tmp1.is32()) { | |
| 512 *result = tmp1.get32(); | |
| 513 return true; | |
| 514 } | |
| 515 return false; | |
| 516 } | |
| 517 | |
| 518 static inline SkFixed fracmuladdmul(SkFixed a, SkFract b, SkFixed c, | |
| 519 SkFract d) { | |
| 520 Sk64 tmp1, tmp2; | |
| 521 tmp1.setMul(a, b); | |
| 522 tmp2.setMul(c, d); | |
| 523 tmp1.add(tmp2); | |
| 524 return tmp1.getFract(); | |
| 525 } | |
| 526 | |
| 527 static inline bool rowcol3(const SkFixed row[], const SkFixed col[], | |
| 528 SkFixed* result) { | |
| 529 Sk64 tmp1, tmp2; | |
| 530 | |
| 531 tmp1.setMul(row[0], col[0]); // N * fixed | |
| 532 tmp2.setMul(row[1], col[3]); // N * fixed | |
| 533 tmp1.add(tmp2); | |
| 534 | |
| 535 tmp2.setMul(row[2], col[6]); // N * fract | |
| 536 tmp2.roundRight(14); // make it fixed | |
| 537 tmp1.add(tmp2); | |
| 538 | |
| 539 if (tmp1.isFixed()) { | |
| 540 *result = tmp1.getFixed(); | |
| 541 return true; | |
| 542 } | |
| 543 return false; | |
| 544 } | |
| 545 | |
| 546 static inline int negifaddoverflows(SkFixed& result, SkFixed a, SkFixed b) { | |
| 547 SkFixed c = a + b; | |
| 548 result = c; | |
| 549 return (c ^ a) & (c ^ b); | |
| 550 } | |
| 551 #endif | |
| 552 | |
| 553 static void normalize_perspective(SkScalar mat[9]) { | |
| 554 if (SkScalarAbs(mat[SkMatrix::kMPersp2]) > kMatrix22Elem) { | |
| 555 for (int i = 0; i < 9; i++) | |
| 556 mat[i] = SkScalarHalf(mat[i]); | |
| 557 } | |
| 558 } | |
| 559 | |
| 560 bool SkMatrix::setConcat(const SkMatrix& a, const SkMatrix& b) { | |
| 561 TypeMask aType = a.getType(); | |
| 562 TypeMask bType = b.getType(); | |
| 563 | |
| 564 if (0 == aType) { | |
| 565 *this = b; | |
| 566 } else if (0 == bType) { | |
| 567 *this = a; | |
| 568 } else { | |
| 569 SkMatrix tmp; | |
| 570 | |
| 571 if ((aType | bType) & kPerspective_Mask) { | |
| 572 if (!rowcol3(&a.fMat[0], &b.fMat[0], &tmp.fMat[kMScaleX])) { | |
| 573 return false; | |
| 574 } | |
| 575 if (!rowcol3(&a.fMat[0], &b.fMat[1], &tmp.fMat[kMSkewX])) { | |
| 576 return false; | |
| 577 } | |
| 578 if (!rowcol3(&a.fMat[0], &b.fMat[2], &tmp.fMat[kMTransX])) { | |
| 579 return false; | |
| 580 } | |
| 581 | |
| 582 if (!rowcol3(&a.fMat[3], &b.fMat[0], &tmp.fMat[kMSkewY])) { | |
| 583 return false; | |
| 584 } | |
| 585 if (!rowcol3(&a.fMat[3], &b.fMat[1], &tmp.fMat[kMScaleY])) { | |
| 586 return false; | |
| 587 } | |
| 588 if (!rowcol3(&a.fMat[3], &b.fMat[2], &tmp.fMat[kMTransY])) { | |
| 589 return false; | |
| 590 } | |
| 591 | |
| 592 if (!rowcol3(&a.fMat[6], &b.fMat[0], &tmp.fMat[kMPersp0])) { | |
| 593 return false; | |
| 594 } | |
| 595 if (!rowcol3(&a.fMat[6], &b.fMat[1], &tmp.fMat[kMPersp1])) { | |
| 596 return false; | |
| 597 } | |
| 598 if (!rowcol3(&a.fMat[6], &b.fMat[2], &tmp.fMat[kMPersp2])) { | |
| 599 return false; | |
| 600 } | |
| 601 | |
| 602 normalize_perspective(tmp.fMat); | |
| 603 } else { // not perspective | |
| 604 if (!fixmuladdmul(a.fMat[kMScaleX], b.fMat[kMScaleX], | |
| 605 a.fMat[kMSkewX], b.fMat[kMSkewY], &tmp.fMat[kMScaleX])) { | |
| 606 return false; | |
| 607 } | |
| 608 if (!fixmuladdmul(a.fMat[kMScaleX], b.fMat[kMSkewX], | |
| 609 a.fMat[kMSkewX], b.fMat[kMScaleY], &tmp.fMat[kMSkewX])) { | |
| 610 return false; | |
| 611 } | |
| 612 if (!fixmuladdmul(a.fMat[kMScaleX], b.fMat[kMTransX], | |
| 613 a.fMat[kMSkewX], b.fMat[kMTransY], &tmp.fMat[kMTransX])) { | |
| 614 return false; | |
| 615 } | |
| 616 if (negifaddoverflows(tmp.fMat[kMTransX], tmp.fMat[kMTransX], | |
| 617 a.fMat[kMTransX]) < 0) { | |
| 618 return false; | |
| 619 } | |
| 620 | |
| 621 if (!fixmuladdmul(a.fMat[kMSkewY], b.fMat[kMScaleX], | |
| 622 a.fMat[kMScaleY], b.fMat[kMSkewY], &tmp.fMat[kMSkewY])) { | |
| 623 return false; | |
| 624 } | |
| 625 if (!fixmuladdmul(a.fMat[kMSkewY], b.fMat[kMSkewX], | |
| 626 a.fMat[kMScaleY], b.fMat[kMScaleY], &tmp.fMat[kMScaleY])) { | |
| 627 return false; | |
| 628 } | |
| 629 if (!fixmuladdmul(a.fMat[kMSkewY], b.fMat[kMTransX], | |
| 630 a.fMat[kMScaleY], b.fMat[kMTransY], &tmp.fMat[kMTransY])) { | |
| 631 return false; | |
| 632 } | |
| 633 if (negifaddoverflows(tmp.fMat[kMTransY], tmp.fMat[kMTransY], | |
| 634 a.fMat[kMTransY]) < 0) { | |
| 635 return false; | |
| 636 } | |
| 637 | |
| 638 tmp.fMat[kMPersp0] = tmp.fMat[kMPersp1] = 0; | |
| 639 tmp.fMat[kMPersp2] = kMatrix22Elem; | |
| 640 } | |
| 641 *this = tmp; | |
| 642 } | |
| 643 this->setTypeMask(kUnknown_Mask); | |
| 644 return true; | |
| 645 } | |
| 646 | |
| 647 bool SkMatrix::preConcat(const SkMatrix& mat) { | |
| 648 // check for identity first, so we don't do a needless copy of ourselves | |
| 649 // to ourselves inside setConcat() | |
| 650 return mat.isIdentity() || this->setConcat(*this, mat); | |
| 651 } | |
| 652 | |
| 653 bool SkMatrix::postConcat(const SkMatrix& mat) { | |
| 654 // check for identity first, so we don't do a needless copy of ourselves | |
| 655 // to ourselves inside setConcat() | |
| 656 return mat.isIdentity() || this->setConcat(mat, *this); | |
| 657 } | |
| 658 | |
| 659 /////////////////////////////////////////////////////////////////////////////// | |
| 660 | |
| 661 #ifdef SK_SCALAR_IS_FLOAT | |
| 662 #define SkPerspMul(a, b) SkScalarMul(a, b) | |
| 663 #define SkScalarMulShift(a, b, s) SkScalarMul(a, b) | |
| 664 static float sk_inv_determinant(const float mat[9], int isPerspective, | |
| 665 int* /* (only used in Fixed case) */) { | |
| 666 double det; | |
| 667 | |
| 668 if (isPerspective) { | |
| 669 det = mat[SkMatrix::kMScaleX] * ((double)mat[SkMatrix::kMScaleY] *
mat[SkMatrix::kMPersp2] - (double)mat[SkMatrix::kMTransY] * mat[SkMatrix::kMPer
sp1]) + | |
| 670 mat[SkMatrix::kMSkewX] * ((double)mat[SkMatrix::kMTransY] *
mat[SkMatrix::kMPersp0] - (double)mat[SkMatrix::kMSkewY] * mat[SkMatrix::kMPersp
2]) + | |
| 671 mat[SkMatrix::kMTransX] * ((double)mat[SkMatrix::kMSkewY] *
mat[SkMatrix::kMPersp1] - (double)mat[SkMatrix::kMScaleY] * mat[SkMatrix::kMPers
p0]); | |
| 672 } else { | |
| 673 det = (double)mat[SkMatrix::kMScaleX] * mat[SkMatrix::kMScaleY] -
(double)mat[SkMatrix::kMSkewX] * mat[SkMatrix::kMSkewY]; | |
| 674 } | |
| 675 | |
| 676 // Since the determinant is on the order of the square of the matrix mem
bers, | |
| 677 // compare to the square of the default nearly-zero constant | |
| 678 if (SkScalarNearlyZero((float)det, SK_ScalarNearlyZero * SK_ScalarNearly
Zero)) { | |
| 679 return 0; | |
| 680 } | |
| 681 return (float)(1.0 / det); | |
| 682 } | |
| 683 #else | |
| 684 #define SkPerspMul(a, b) SkFractMul(a, b) | |
| 685 #define SkScalarMulShift(a, b, s) SkMulShift(a, b, s) | |
| 686 static void set_muladdmul(Sk64* dst, int32_t a, int32_t b, int32_t c, | |
| 687 int32_t d) { | |
| 688 Sk64 tmp; | |
| 689 dst->setMul(a, b); | |
| 690 tmp.setMul(c, d); | |
| 691 dst->add(tmp); | |
| 692 } | |
| 693 | |
| 694 static SkFixed sk_inv_determinant(const SkFixed mat[9], int isPerspective, | |
| 695 int* shift) { | |
| 696 Sk64 tmp1, tmp2; | |
| 697 | |
| 698 if (isPerspective) { | |
| 699 tmp1.setMul(mat[SkMatrix::kMScaleX], fracmuladdmul(mat[SkMatrix::kMS
caleY], mat[SkMatrix::kMPersp2], -mat[SkMatrix::kMTransY], mat[SkMatrix::kMPersp
1])); | |
| 700 tmp2.setMul(mat[SkMatrix::kMSkewX], fracmuladdmul(mat[SkMatrix::kMTr
ansY], mat[SkMatrix::kMPersp0], -mat[SkMatrix::kMSkewY], mat[SkMatrix::kMPersp2]
)); | |
| 701 tmp1.add(tmp2); | |
| 702 tmp2.setMul(mat[SkMatrix::kMTransX], fracmuladdmul(mat[SkMatrix::kMS
kewY], mat[SkMatrix::kMPersp1], -mat[SkMatrix::kMScaleY], mat[SkMatrix::kMPersp0
])); | |
| 703 tmp1.add(tmp2); | |
| 704 } else { | |
| 705 tmp1.setMul(mat[SkMatrix::kMScaleX], mat[SkMatrix::kMScaleY]); | |
| 706 tmp2.setMul(mat[SkMatrix::kMSkewX], mat[SkMatrix::kMSkewY]); | |
| 707 tmp1.sub(tmp2); | |
| 708 } | |
| 709 | |
| 710 int s = tmp1.getClzAbs(); | |
| 711 *shift = s; | |
| 712 | |
| 713 SkFixed denom; | |
| 714 if (s <= 32) { | |
| 715 denom = tmp1.getShiftRight(33 - s); | |
| 716 } else { | |
| 717 denom = (int32_t)tmp1.fLo << (s - 33); | |
| 718 } | |
| 719 | |
| 720 if (denom == 0) { | |
| 721 return 0; | |
| 722 } | |
| 723 /** This could perhaps be a special fractdiv function, since both of its | |
| 724 arguments are known to have bit 31 clear and bit 30 set (when they | |
| 725 are made positive), thus eliminating the need for calling clz() | |
| 726 */ | |
| 727 return SkFractDiv(SK_Fract1, denom); | |
| 728 } | |
| 729 #endif | |
| 730 | |
| 731 bool SkMatrix::invert(SkMatrix* inv) const { | |
| 732 int isPersp = has_perspective(*this); | |
| 733 int shift; | |
| 734 SkScalar scale = sk_inv_determinant(fMat, isPersp, &shift); | |
| 735 | |
| 736 if (scale == 0) { // underflow | |
| 737 return false; | |
| 738 } | |
| 739 | |
| 740 if (inv) { | |
| 741 SkMatrix tmp; | |
| 742 if (inv == this) | |
| 743 inv = &tmp; | |
| 744 | |
| 745 if (isPersp) { | |
| 746 shift = 61 - shift; | |
| 747 inv->fMat[kMScaleX] = SkScalarMulShift(SkPerspMul(fMat[kMScaleY], fM
at[kMPersp2]) - SkPerspMul(fMat[kMTransY], fMat[kMPersp1]), scale, shift); | |
| 748 inv->fMat[kMSkewX] = SkScalarMulShift(SkPerspMul(fMat[kMTransX], fM
at[kMPersp1]) - SkPerspMul(fMat[kMSkewX], fMat[kMPersp2]), scale, shift); | |
| 749 inv->fMat[kMTransX] = SkScalarMulShift(SkScalarMul(fMat[kMSkewX], fM
at[kMTransY]) - SkScalarMul(fMat[kMTransX], fMat[kMScaleY]), scale, shift); | |
| 750 | |
| 751 inv->fMat[kMSkewY] = SkScalarMulShift(SkPerspMul(fMat[kMTransY], fM
at[kMPersp0]) - SkPerspMul(fMat[kMSkewY], fMat[kMPersp2]), scale, shift); | |
| 752 inv->fMat[kMScaleY] = SkScalarMulShift(SkPerspMul(fMat[kMScaleX], fM
at[kMPersp2]) - SkPerspMul(fMat[kMTransX], fMat[kMPersp0]), scale, shift); | |
| 753 inv->fMat[kMTransY] = SkScalarMulShift(SkScalarMul(fMat[kMTransX], f
Mat[kMSkewY]) - SkScalarMul(fMat[kMScaleX], fMat[kMTransY]), scale, shift); | |
| 754 | |
| 755 inv->fMat[kMPersp0] = SkScalarMulShift(SkScalarMul(fMat[kMSkewY], fM
at[kMPersp1]) - SkScalarMul(fMat[kMScaleY], fMat[kMPersp0]), scale, shift);
| |
| 756 inv->fMat[kMPersp1] = SkScalarMulShift(SkScalarMul(fMat[kMSkewX], fM
at[kMPersp0]) - SkScalarMul(fMat[kMScaleX], fMat[kMPersp1]), scale, shift); | |
| 757 inv->fMat[kMPersp2] = SkScalarMulShift(SkScalarMul(fMat[kMScaleX], f
Mat[kMScaleY]) - SkScalarMul(fMat[kMSkewX], fMat[kMSkewY]), scale, shift); | |
| 758 #ifdef SK_SCALAR_IS_FIXED | |
| 759 if (SkAbs32(inv->fMat[kMPersp2]) > SK_Fixed1) { | |
| 760 Sk64 tmp; | |
| 761 | |
| 762 tmp.set(SK_Fract1); | |
| 763 tmp.shiftLeft(16); | |
| 764 tmp.div(inv->fMat[kMPersp2], Sk64::kRound_DivOption); | |
| 765 | |
| 766 SkFract scale = tmp.get32(); | |
| 767 | |
| 768 for (int i = 0; i < 9; i++) { | |
| 769 inv->fMat[i] = SkFractMul(inv->fMat[i], scale); | |
| 770 } | |
| 771 } | |
| 772 inv->fMat[kMPersp2] = SkFixedToFract(inv->fMat[kMPersp2]); | |
| 773 #endif | |
| 774 } else { // not perspective | |
| 775 #ifdef SK_SCALAR_IS_FIXED | |
| 776 Sk64 tx, ty; | |
| 777 int clzNumer; | |
| 778 | |
| 779 // check the 2x2 for overflow | |
| 780 { | |
| 781 int32_t value = SkAbs32(fMat[kMScaleY]); | |
| 782 value |= SkAbs32(fMat[kMSkewX]); | |
| 783 value |= SkAbs32(fMat[kMScaleX]); | |
| 784 value |= SkAbs32(fMat[kMSkewY]); | |
| 785 clzNumer = SkCLZ(value); | |
| 786 if (shift - clzNumer > 31) | |
| 787 return false; // overflow | |
| 788 } | |
| 789 | |
| 790 set_muladdmul(&tx, fMat[kMSkewX], fMat[kMTransY], -fMat[kMScaleY], f
Mat[kMTransX]); | |
| 791 set_muladdmul(&ty, fMat[kMSkewY], fMat[kMTransX], -fMat[kMScaleX], f
Mat[kMTransY]); | |
| 792 // check tx,ty for overflow | |
| 793 clzNumer = SkCLZ(SkAbs32(tx.fHi) | SkAbs32(ty.fHi)); | |
| 794 if (shift - clzNumer > 14) { | |
| 795 return false; // overflow | |
| 796 } | |
| 797 | |
| 798 int fixedShift = 61 - shift; | |
| 799 int sk64shift = 44 - shift + clzNumer; | |
| 800 | |
| 801 inv->fMat[kMScaleX] = SkMulShift(fMat[kMScaleY], scale, fixedShift); | |
| 802 inv->fMat[kMSkewX] = SkMulShift(-fMat[kMSkewX], scale, fixedShift); | |
| 803 inv->fMat[kMTransX] = SkMulShift(tx.getShiftRight(33 - clzNumer), sc
ale, sk64shift); | |
| 804 | |
| 805 inv->fMat[kMSkewY] = SkMulShift(-fMat[kMSkewY], scale, fixedShift); | |
| 806 inv->fMat[kMScaleY] = SkMulShift(fMat[kMScaleX], scale, fixedShift); | |
| 807 inv->fMat[kMTransY] = SkMulShift(ty.getShiftRight(33 - clzNumer), sc
ale, sk64shift); | |
| 808 #else | |
| 809 inv->fMat[kMScaleX] = SkScalarMul(fMat[kMScaleY], scale); | |
| 810 inv->fMat[kMSkewX] = SkScalarMul(-fMat[kMSkewX], scale); | |
| 811 if (!fixmuladdmulshiftmul(fMat[kMSkewX], fMat[kMTransY], -fMat[kMSca
leY], fMat[kMTransX], shift, scale, &inv->fMat[kMTransX])) { | |
| 812 return false; | |
| 813 } | |
| 814 | |
| 815 inv->fMat[kMSkewY] = SkScalarMul(-fMat[kMSkewY], scale); | |
| 816 inv->fMat[kMScaleY] = SkScalarMul(fMat[kMScaleX], scale); | |
| 817 if (!fixmuladdmulshiftmul(fMat[kMSkewY], fMat[kMTransX], -fMat[kMSca
leX], fMat[kMTransY], shift, scale, &inv->fMat[kMTransY])) { | |
| 818 return false; | |
| 819 } | |
| 820 #endif | |
| 821 inv->fMat[kMPersp0] = 0; | |
| 822 inv->fMat[kMPersp1] = 0; | |
| 823 inv->fMat[kMPersp2] = kMatrix22Elem; | |
| 824 } | |
| 825 | |
| 826 if (inv == &tmp) { | |
| 827 *(SkMatrix*)this = tmp; | |
| 828 } | |
| 829 inv->setTypeMask(kUnknown_Mask); | |
| 830 } | |
| 831 return true; | |
| 832 } | |
| 833 | |
| 834 /////////////////////////////////////////////////////////////////////////////// | |
| 835 | |
| 836 void SkMatrix::Identity_pts(const SkMatrix& m, SkPoint dst[], | |
| 837 const SkPoint src[], int count) { | |
| 838 SkASSERT(m.getType() == 0); | |
| 839 | |
| 840 if (dst != src && count > 0) | |
| 841 memcpy(dst, src, count * sizeof(SkPoint)); | |
| 842 } | |
| 843 | |
| 844 void SkMatrix::Trans_pts(const SkMatrix& m, SkPoint dst[], | |
| 845 const SkPoint src[], int count) { | |
| 846 SkASSERT(m.getType() == kTranslate_Mask); | |
| 847 | |
| 848 if (count > 0) { | |
| 849 SkScalar tx = m.fMat[kMTransX]; | |
| 850 SkScalar ty = m.fMat[kMTransY]; | |
| 851 do { | |
| 852 dst->fY = src->fY + ty; | |
| 853 dst->fX = src->fX + tx; | |
| 854 src += 1; | |
| 855 dst += 1; | |
| 856 } while (--count); | |
| 857 } | |
| 858 } | |
| 859 | |
| 860 void SkMatrix::Scale_pts(const SkMatrix& m, SkPoint dst[], | |
| 861 const SkPoint src[], int count) { | |
| 862 SkASSERT(m.getType() == kScale_Mask); | |
| 863 | |
| 864 if (count > 0) { | |
| 865 SkScalar mx = m.fMat[kMScaleX]; | |
| 866 SkScalar my = m.fMat[kMScaleY]; | |
| 867 do { | |
| 868 dst->fY = SkScalarMul(src->fY, my); | |
| 869 dst->fX = SkScalarMul(src->fX, mx); | |
| 870 src += 1; | |
| 871 dst += 1; | |
| 872 } while (--count); | |
| 873 } | |
| 874 } | |
| 875 | |
| 876 void SkMatrix::ScaleTrans_pts(const SkMatrix& m, SkPoint dst[], | |
| 877 const SkPoint src[], int count) { | |
| 878 SkASSERT(m.getType() == (kScale_Mask | kTranslate_Mask)); | |
| 879 | |
| 880 if (count > 0) { | |
| 881 SkScalar mx = m.fMat[kMScaleX]; | |
| 882 SkScalar my = m.fMat[kMScaleY]; | |
| 883 SkScalar tx = m.fMat[kMTransX]; | |
| 884 SkScalar ty = m.fMat[kMTransY]; | |
| 885 do { | |
| 886 dst->fY = SkScalarMulAdd(src->fY, my, ty); | |
| 887 dst->fX = SkScalarMulAdd(src->fX, mx, tx); | |
| 888 src += 1; | |
| 889 dst += 1; | |
| 890 } while (--count); | |
| 891 } | |
| 892 } | |
| 893 | |
| 894 void SkMatrix::Rot_pts(const SkMatrix& m, SkPoint dst[], | |
| 895 const SkPoint src[], int count) { | |
| 896 SkASSERT((m.getType() & (kPerspective_Mask | kTranslate_Mask)) == 0); | |
| 897 | |
| 898 if (count > 0) { | |
| 899 SkScalar mx = m.fMat[kMScaleX]; | |
| 900 SkScalar my = m.fMat[kMScaleY]; | |
| 901 SkScalar kx = m.fMat[kMSkewX]; | |
| 902 SkScalar ky = m.fMat[kMSkewY]; | |
| 903 do { | |
| 904 SkScalar sy = src->fY; | |
| 905 SkScalar sx = src->fX; | |
| 906 src += 1; | |
| 907 dst->fY = SkScalarMul(sx, ky) + SkScalarMul(sy, my); | |
| 908 dst->fX = SkScalarMul(sx, mx) + SkScalarMul(sy, kx); | |
| 909 dst += 1; | |
| 910 } while (--count); | |
| 911 } | |
| 912 } | |
| 913 | |
| 914 void SkMatrix::RotTrans_pts(const SkMatrix& m, SkPoint dst[], | |
| 915 const SkPoint src[], int count) { | |
| 916 SkASSERT((m.getType() & kPerspective_Mask) == 0); | |
| 917 | |
| 918 if (count > 0) { | |
| 919 SkScalar mx = m.fMat[kMScaleX]; | |
| 920 SkScalar my = m.fMat[kMScaleY]; | |
| 921 SkScalar kx = m.fMat[kMSkewX]; | |
| 922 SkScalar ky = m.fMat[kMSkewY]; | |
| 923 SkScalar tx = m.fMat[kMTransX]; | |
| 924 SkScalar ty = m.fMat[kMTransY]; | |
| 925 do { | |
| 926 SkScalar sy = src->fY; | |
| 927 SkScalar sx = src->fX; | |
| 928 src += 1; | |
| 929 dst->fY = SkScalarMul(sx, ky) + SkScalarMulAdd(sy, my, ty); | |
| 930 dst->fX = SkScalarMul(sx, mx) + SkScalarMulAdd(sy, kx, tx); | |
| 931 dst += 1; | |
| 932 } while (--count); | |
| 933 } | |
| 934 } | |
| 935 | |
| 936 void SkMatrix::Persp_pts(const SkMatrix& m, SkPoint dst[], | |
| 937 const SkPoint src[], int count) { | |
| 938 SkASSERT(m.getType() & kPerspective_Mask); | |
| 939 | |
| 940 #ifdef SK_SCALAR_IS_FIXED | |
| 941 SkFixed persp2 = SkFractToFixed(m.fMat[kMPersp2]); | |
| 942 #endif | |
| 943 | |
| 944 if (count > 0) { | |
| 945 do { | |
| 946 SkScalar sy = src->fY; | |
| 947 SkScalar sx = src->fX; | |
| 948 src += 1; | |
| 949 | |
| 950 SkScalar x = SkScalarMul(sx, m.fMat[kMScaleX]) + | |
| 951 SkScalarMul(sy, m.fMat[kMSkewX]) + m.fMat[kMTransX]; | |
| 952 SkScalar y = SkScalarMul(sx, m.fMat[kMSkewY]) + | |
| 953 SkScalarMul(sy, m.fMat[kMScaleY]) + m.fMat[kMTransY]; | |
| 954 #ifdef SK_SCALAR_IS_FIXED | |
| 955 SkFixed z = SkFractMul(sx, m.fMat[kMPersp0]) + | |
| 956 SkFractMul(sy, m.fMat[kMPersp1]) + persp2; | |
| 957 #else | |
| 958 float z = SkScalarMul(sx, m.fMat[kMPersp0]) + | |
| 959 SkScalarMulAdd(sy, m.fMat[kMPersp1], m.fMat[kMPersp2]); | |
| 960 #endif | |
| 961 if (z) { | |
| 962 z = SkScalarFastInvert(z); | |
| 963 } | |
| 964 | |
| 965 dst->fY = SkScalarMul(y, z); | |
| 966 dst->fX = SkScalarMul(x, z); | |
| 967 dst += 1; | |
| 968 } while (--count); | |
| 969 } | |
| 970 } | |
| 971 | |
| 972 const SkMatrix::MapPtsProc SkMatrix::gMapPtsProcs[] = { | |
| 973 SkMatrix::Identity_pts, SkMatrix::Trans_pts, | |
| 974 SkMatrix::Scale_pts, SkMatrix::ScaleTrans_pts, | |
| 975 SkMatrix::Rot_pts, SkMatrix::RotTrans_pts, | |
| 976 SkMatrix::Rot_pts, SkMatrix::RotTrans_pts, | |
| 977 // repeat the persp proc 8 times | |
| 978 SkMatrix::Persp_pts, SkMatrix::Persp_pts, | |
| 979 SkMatrix::Persp_pts, SkMatrix::Persp_pts, | |
| 980 SkMatrix::Persp_pts, SkMatrix::Persp_pts, | |
| 981 SkMatrix::Persp_pts, SkMatrix::Persp_pts | |
| 982 }; | |
| 983 | |
| 984 void SkMatrix::mapPoints(SkPoint dst[], const SkPoint src[], int count) const { | |
| 985 SkASSERT((dst && src && count > 0) || count == 0); | |
| 986 // no partial overlap | |
| 987 SkASSERT(src == dst || SkAbs32((int32_t)(src - dst)) >= count); | |
| 988 | |
| 989 this->getMapPtsProc()(*this, dst, src, count); | |
| 990 } | |
| 991 | |
| 992 /////////////////////////////////////////////////////////////////////////////// | |
| 993 | |
| 994 void SkMatrix::mapVectors(SkPoint dst[], const SkPoint src[], int count) const { | |
| 995 if (this->getType() & kPerspective_Mask) { | |
| 996 SkPoint origin; | |
| 997 | |
| 998 MapXYProc proc = this->getMapXYProc(); | |
| 999 proc(*this, 0, 0, &origin); | |
| 1000 | |
| 1001 for (int i = count - 1; i >= 0; --i) { | |
| 1002 SkPoint tmp; | |
| 1003 | |
| 1004 proc(*this, src[i].fX, src[i].fY, &tmp); | |
| 1005 dst[i].set(tmp.fX - origin.fX, tmp.fY - origin.fY); | |
| 1006 } | |
| 1007 } else { | |
| 1008 SkMatrix tmp = *this; | |
| 1009 | |
| 1010 tmp.fMat[kMTransX] = tmp.fMat[kMTransY] = 0; | |
| 1011 tmp.clearTypeMask(kTranslate_Mask); | |
| 1012 tmp.mapPoints(dst, src, count); | |
| 1013 } | |
| 1014 } | |
| 1015 | |
| 1016 bool SkMatrix::mapRect(SkRect* dst, const SkRect& src) const { | |
| 1017 SkASSERT(dst && &src); | |
| 1018 | |
| 1019 if (this->rectStaysRect()) { | |
| 1020 this->mapPoints((SkPoint*)dst, (const SkPoint*)&src, 2); | |
| 1021 dst->sort(); | |
| 1022 return true; | |
| 1023 } else { | |
| 1024 SkPoint quad[4]; | |
| 1025 | |
| 1026 src.toQuad(quad); | |
| 1027 this->mapPoints(quad, quad, 4); | |
| 1028 dst->set(quad, 4); | |
| 1029 return false; | |
| 1030 } | |
| 1031 } | |
| 1032 | |
| 1033 SkScalar SkMatrix::mapRadius(SkScalar radius) const { | |
| 1034 SkVector vec[2]; | |
| 1035 | |
| 1036 vec[0].set(radius, 0); | |
| 1037 vec[1].set(0, radius); | |
| 1038 this->mapVectors(vec, 2); | |
| 1039 | |
| 1040 SkScalar d0 = vec[0].length(); | |
| 1041 SkScalar d1 = vec[1].length(); | |
| 1042 | |
| 1043 return SkScalarMean(d0, d1); | |
| 1044 } | |
| 1045 | |
| 1046 /////////////////////////////////////////////////////////////////////////////// | |
| 1047 | |
| 1048 void SkMatrix::Persp_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, | |
| 1049 SkPoint* pt) { | |
| 1050 SkASSERT(m.getType() & kPerspective_Mask); | |
| 1051 | |
| 1052 SkScalar x = SkScalarMul(sx, m.fMat[kMScaleX]) + | |
| 1053 SkScalarMul(sy, m.fMat[kMSkewX]) + m.fMat[kMTransX]; | |
| 1054 SkScalar y = SkScalarMul(sx, m.fMat[kMSkewY]) + | |
| 1055 SkScalarMul(sy, m.fMat[kMScaleY]) + m.fMat[kMTransY]; | |
| 1056 #ifdef SK_SCALAR_IS_FIXED | |
| 1057 SkFixed z = SkFractMul(sx, m.fMat[kMPersp0]) + | |
| 1058 SkFractMul(sy, m.fMat[kMPersp1]) + | |
| 1059 SkFractToFixed(m.fMat[kMPersp2]); | |
| 1060 #else | |
| 1061 float z = SkScalarMul(sx, m.fMat[kMPersp0]) + | |
| 1062 SkScalarMul(sy, m.fMat[kMPersp1]) + m.fMat[kMPersp2]; | |
| 1063 #endif | |
| 1064 if (z) { | |
| 1065 z = SkScalarFastInvert(z); | |
| 1066 } | |
| 1067 pt->fX = SkScalarMul(x, z); | |
| 1068 pt->fY = SkScalarMul(y, z); | |
| 1069 } | |
| 1070 | |
| 1071 #ifdef SK_SCALAR_IS_FIXED | |
| 1072 static SkFixed fixmuladdmul(SkFixed a, SkFixed b, SkFixed c, SkFixed d) { | |
| 1073 Sk64 tmp, tmp1; | |
| 1074 | |
| 1075 tmp.setMul(a, b); | |
| 1076 tmp1.setMul(c, d); | |
| 1077 return tmp.addGetFixed(tmp1); | |
| 1078 // tmp.add(tmp1); | |
| 1079 // return tmp.getFixed(); | |
| 1080 } | |
| 1081 #endif | |
| 1082 | |
| 1083 void SkMatrix::RotTrans_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, | |
| 1084 SkPoint* pt) { | |
| 1085 SkASSERT((m.getType() & (kAffine_Mask | kPerspective_Mask)) == kAffine_Mask)
; | |
| 1086 | |
| 1087 #ifdef SK_SCALAR_IS_FIXED | |
| 1088 pt->fX = fixmuladdmul(sx, m.fMat[kMScaleX], sy, m.fMat[kMSkewX]) + | |
| 1089 m.fMat[kMTransX]; | |
| 1090 pt->fY = fixmuladdmul(sx, m.fMat[kMSkewY], sy, m.fMat[kMScaleY]) + | |
| 1091 m.fMat[kMTransY]; | |
| 1092 #else | |
| 1093 pt->fX = SkScalarMul(sx, m.fMat[kMScaleX]) + | |
| 1094 SkScalarMulAdd(sy, m.fMat[kMSkewX], m.fMat[kMTransX]); | |
| 1095 pt->fY = SkScalarMul(sx, m.fMat[kMSkewY]) + | |
| 1096 SkScalarMulAdd(sy, m.fMat[kMScaleY], m.fMat[kMTransY]); | |
| 1097 #endif | |
| 1098 } | |
| 1099 | |
| 1100 void SkMatrix::Rot_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, | |
| 1101 SkPoint* pt) { | |
| 1102 SkASSERT((m.getType() & (kAffine_Mask | kPerspective_Mask))== kAffine_Mask); | |
| 1103 SkASSERT(0 == m.fMat[kMTransX]); | |
| 1104 SkASSERT(0 == m.fMat[kMTransY]); | |
| 1105 | |
| 1106 #ifdef SK_SCALAR_IS_FIXED | |
| 1107 pt->fX = fixmuladdmul(sx, m.fMat[kMScaleX], sy, m.fMat[kMSkewX]); | |
| 1108 pt->fY = fixmuladdmul(sx, m.fMat[kMSkewY], sy, m.fMat[kMScaleY]); | |
| 1109 #else | |
| 1110 pt->fX = SkScalarMul(sx, m.fMat[kMScaleX]) + | |
| 1111 SkScalarMulAdd(sy, m.fMat[kMSkewX], m.fMat[kMTransX]); | |
| 1112 pt->fY = SkScalarMul(sx, m.fMat[kMSkewY]) + | |
| 1113 SkScalarMulAdd(sy, m.fMat[kMScaleY], m.fMat[kMTransY]); | |
| 1114 #endif | |
| 1115 } | |
| 1116 | |
| 1117 void SkMatrix::ScaleTrans_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, | |
| 1118 SkPoint* pt) { | |
| 1119 SkASSERT((m.getType() & (kScale_Mask | kAffine_Mask | kPerspective_Mask)) | |
| 1120 == kScale_Mask); | |
| 1121 | |
| 1122 pt->fX = SkScalarMulAdd(sx, m.fMat[kMScaleX], m.fMat[kMTransX]); | |
| 1123 pt->fY = SkScalarMulAdd(sy, m.fMat[kMScaleY], m.fMat[kMTransY]); | |
| 1124 } | |
| 1125 | |
| 1126 void SkMatrix::Scale_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, | |
| 1127 SkPoint* pt) { | |
| 1128 SkASSERT((m.getType() & (kScale_Mask | kAffine_Mask | kPerspective_Mask)) | |
| 1129 == kScale_Mask); | |
| 1130 SkASSERT(0 == m.fMat[kMTransX]); | |
| 1131 SkASSERT(0 == m.fMat[kMTransY]); | |
| 1132 | |
| 1133 pt->fX = SkScalarMul(sx, m.fMat[kMScaleX]); | |
| 1134 pt->fY = SkScalarMul(sy, m.fMat[kMScaleY]); | |
| 1135 } | |
| 1136 | |
| 1137 void SkMatrix::Trans_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, | |
| 1138 SkPoint* pt) { | |
| 1139 SkASSERT(m.getType() == kTranslate_Mask); | |
| 1140 | |
| 1141 pt->fX = sx + m.fMat[kMTransX]; | |
| 1142 pt->fY = sy + m.fMat[kMTransY]; | |
| 1143 } | |
| 1144 | |
| 1145 void SkMatrix::Identity_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, | |
| 1146 SkPoint* pt) { | |
| 1147 SkASSERT(0 == m.getType()); | |
| 1148 | |
| 1149 pt->fX = sx; | |
| 1150 pt->fY = sy; | |
| 1151 } | |
| 1152 | |
| 1153 const SkMatrix::MapXYProc SkMatrix::gMapXYProcs[] = { | |
| 1154 SkMatrix::Identity_xy, SkMatrix::Trans_xy, | |
| 1155 SkMatrix::Scale_xy, SkMatrix::ScaleTrans_xy, | |
| 1156 SkMatrix::Rot_xy, SkMatrix::RotTrans_xy, | |
| 1157 SkMatrix::Rot_xy, SkMatrix::RotTrans_xy, | |
| 1158 // repeat the persp proc 8 times | |
| 1159 SkMatrix::Persp_xy, SkMatrix::Persp_xy, | |
| 1160 SkMatrix::Persp_xy, SkMatrix::Persp_xy, | |
| 1161 SkMatrix::Persp_xy, SkMatrix::Persp_xy, | |
| 1162 SkMatrix::Persp_xy, SkMatrix::Persp_xy | |
| 1163 }; | |
| 1164 | |
| 1165 /////////////////////////////////////////////////////////////////////////////// | |
| 1166 | |
| 1167 // if its nearly zero (just made up 26, perhaps it should be bigger or smaller) | |
| 1168 #ifdef SK_SCALAR_IS_FIXED | |
| 1169 typedef SkFract SkPerspElemType; | |
| 1170 #define PerspNearlyZero(x) (SkAbs32(x) < (SK_Fract1 >> 26)) | |
| 1171 #else | |
| 1172 typedef float SkPerspElemType; | |
| 1173 #define PerspNearlyZero(x) SkScalarNearlyZero(x, (1.0f / (1 << 26))) | |
| 1174 #endif | |
| 1175 | |
| 1176 bool SkMatrix::fixedStepInX(SkScalar y, SkFixed* stepX, SkFixed* stepY) const { | |
| 1177 if (PerspNearlyZero(fMat[kMPersp0])) { | |
| 1178 if (stepX || stepY) { | |
| 1179 if (PerspNearlyZero(fMat[kMPersp1]) && | |
| 1180 PerspNearlyZero(fMat[kMPersp2] - kMatrix22Elem)) { | |
| 1181 if (stepX) { | |
| 1182 *stepX = SkScalarToFixed(fMat[kMScaleX]); | |
| 1183 } | |
| 1184 if (stepY) { | |
| 1185 *stepY = SkScalarToFixed(fMat[kMSkewY]); | |
| 1186 } | |
| 1187 } else { | |
| 1188 #ifdef SK_SCALAR_IS_FIXED | |
| 1189 SkFixed z = SkFractMul(y, fMat[kMPersp1]) + | |
| 1190 SkFractToFixed(fMat[kMPersp2]); | |
| 1191 #else | |
| 1192 float z = y * fMat[kMPersp1] + fMat[kMPersp2]; | |
| 1193 #endif | |
| 1194 if (stepX) { | |
| 1195 *stepX = SkScalarToFixed(SkScalarDiv(fMat[kMScaleX], z)); | |
| 1196 } | |
| 1197 if (stepY) { | |
| 1198 *stepY = SkScalarToFixed(SkScalarDiv(fMat[kMSkewY], z)); | |
| 1199 } | |
| 1200 } | |
| 1201 } | |
| 1202 return true; | |
| 1203 } | |
| 1204 return false; | |
| 1205 } | |
| 1206 | |
| 1207 /////////////////////////////////////////////////////////////////////////////// | |
| 1208 | |
| 1209 #include "SkPerspIter.h" | |
| 1210 | |
| 1211 SkPerspIter::SkPerspIter(const SkMatrix& m, SkScalar x0, SkScalar y0, int count) | |
| 1212 : fMatrix(m), fSX(x0), fSY(y0), fCount(count) { | |
| 1213 SkPoint pt; | |
| 1214 | |
| 1215 SkMatrix::Persp_xy(m, x0, y0, &pt); | |
| 1216 fX = SkScalarToFixed(pt.fX); | |
| 1217 fY = SkScalarToFixed(pt.fY); | |
| 1218 } | |
| 1219 | |
| 1220 int SkPerspIter::next() { | |
| 1221 int n = fCount; | |
| 1222 | |
| 1223 if (0 == n) { | |
| 1224 return 0; | |
| 1225 } | |
| 1226 SkPoint pt; | |
| 1227 SkFixed x = fX; | |
| 1228 SkFixed y = fY; | |
| 1229 SkFixed dx, dy; | |
| 1230 | |
| 1231 if (n >= kCount) { | |
| 1232 n = kCount; | |
| 1233 fSX += SkIntToScalar(kCount); | |
| 1234 SkMatrix::Persp_xy(fMatrix, fSX, fSY, &pt); | |
| 1235 fX = SkScalarToFixed(pt.fX); | |
| 1236 fY = SkScalarToFixed(pt.fY); | |
| 1237 dx = (fX - x) >> kShift; | |
| 1238 dy = (fY - y) >> kShift; | |
| 1239 } else { | |
| 1240 fSX += SkIntToScalar(n); | |
| 1241 SkMatrix::Persp_xy(fMatrix, fSX, fSY, &pt); | |
| 1242 fX = SkScalarToFixed(pt.fX); | |
| 1243 fY = SkScalarToFixed(pt.fY); | |
| 1244 dx = (fX - x) / n; | |
| 1245 dy = (fY - y) / n; | |
| 1246 } | |
| 1247 | |
| 1248 SkFixed* p = fStorage; | |
| 1249 for (int i = 0; i < n; i++) { | |
| 1250 *p++ = x; x += dx; | |
| 1251 *p++ = y; y += dy; | |
| 1252 } | |
| 1253 | |
| 1254 fCount -= n; | |
| 1255 return n; | |
| 1256 } | |
| 1257 | |
| 1258 /////////////////////////////////////////////////////////////////////////////// | |
| 1259 | |
| 1260 #ifdef SK_SCALAR_IS_FIXED | |
| 1261 | |
| 1262 static inline bool poly_to_point(SkPoint* pt, const SkPoint poly[], int count) { | |
| 1263 SkFixed x = SK_Fixed1, y = SK_Fixed1; | |
| 1264 SkPoint pt1, pt2; | |
| 1265 Sk64 w1, w2; | |
| 1266 | |
| 1267 if (count > 1) { | |
| 1268 pt1.fX = poly[1].fX - poly[0].fX; | |
| 1269 pt1.fY = poly[1].fY - poly[0].fY; | |
| 1270 y = SkPoint::Length(pt1.fX, pt1.fY); | |
| 1271 if (y == 0) { | |
| 1272 return false; | |
| 1273 } | |
| 1274 switch (count) { | |
| 1275 case 2: | |
| 1276 break; | |
| 1277 case 3: | |
| 1278 pt2.fX = poly[0].fY - poly[2].fY; | |
| 1279 pt2.fY = poly[2].fX - poly[0].fX; | |
| 1280 goto CALC_X; | |
| 1281 default: | |
| 1282 pt2.fX = poly[0].fY - poly[3].fY; | |
| 1283 pt2.fY = poly[3].fX - poly[0].fX; | |
| 1284 CALC_X: | |
| 1285 w1.setMul(pt1.fX, pt2.fX); | |
| 1286 w2.setMul(pt1.fY, pt2.fY); | |
| 1287 w1.add(w2); | |
| 1288 w1.div(y, Sk64::kRound_DivOption); | |
| 1289 if (!w1.is32()) { | |
| 1290 return false; | |
| 1291 } | |
| 1292 x = w1.get32(); | |
| 1293 break; | |
| 1294 } | |
| 1295 } | |
| 1296 pt->set(x, y); | |
| 1297 return true; | |
| 1298 } | |
| 1299 | |
| 1300 bool SkMatrix::Poly2Proc(const SkPoint srcPt[], SkMatrix* dst, | |
| 1301 const SkPoint& scalePt) { | |
| 1302 // need to check if SkFixedDiv overflows... | |
| 1303 | |
| 1304 const SkFixed scale = scalePt.fY; | |
| 1305 dst->fMat[kMScaleX] = SkFixedDiv(srcPt[1].fY - srcPt[0].fY, scale); | |
| 1306 dst->fMat[kMSkewY] = SkFixedDiv(srcPt[0].fX - srcPt[1].fX, scale); | |
| 1307 dst->fMat[kMPersp0] = 0; | |
| 1308 dst->fMat[kMSkewX] = SkFixedDiv(srcPt[1].fX - srcPt[0].fX, scale); | |
| 1309 dst->fMat[kMScaleY] = SkFixedDiv(srcPt[1].fY - srcPt[0].fY, scale); | |
| 1310 dst->fMat[kMPersp1] = 0; | |
| 1311 dst->fMat[kMTransX] = srcPt[0].fX; | |
| 1312 dst->fMat[kMTransY] = srcPt[0].fY; | |
| 1313 dst->fMat[kMPersp2] = SK_Fract1; | |
| 1314 dst->setTypeMask(kUnknown_Mask); | |
| 1315 return true; | |
| 1316 } | |
| 1317 | |
| 1318 bool SkMatrix::Poly3Proc(const SkPoint srcPt[], SkMatrix* dst, | |
| 1319 const SkPoint& scale) { | |
| 1320 // really, need to check if SkFixedDiv overflow'd | |
| 1321 | |
| 1322 dst->fMat[kMScaleX] = SkFixedDiv(srcPt[2].fX - srcPt[0].fX, scale.fX); | |
| 1323 dst->fMat[kMSkewY] = SkFixedDiv(srcPt[2].fY - srcPt[0].fY, scale.fX); | |
| 1324 dst->fMat[kMPersp0] = 0; | |
| 1325 dst->fMat[kMSkewX] = SkFixedDiv(srcPt[1].fX - srcPt[0].fX, scale.fY); | |
| 1326 dst->fMat[kMScaleY] = SkFixedDiv(srcPt[1].fY - srcPt[0].fY, scale.fY); | |
| 1327 dst->fMat[kMPersp1] = 0; | |
| 1328 dst->fMat[kMTransX] = srcPt[0].fX; | |
| 1329 dst->fMat[kMTransY] = srcPt[0].fY; | |
| 1330 dst->fMat[kMPersp2] = SK_Fract1; | |
| 1331 dst->setTypeMask(kUnknown_Mask); | |
| 1332 return true; | |
| 1333 } | |
| 1334 | |
| 1335 bool SkMatrix::Poly4Proc(const SkPoint srcPt[], SkMatrix* dst, | |
| 1336 const SkPoint& scale) { | |
| 1337 SkFract a1, a2; | |
| 1338 SkFixed x0, y0, x1, y1, x2, y2; | |
| 1339 | |
| 1340 x0 = srcPt[2].fX - srcPt[0].fX; | |
| 1341 y0 = srcPt[2].fY - srcPt[0].fY; | |
| 1342 x1 = srcPt[2].fX - srcPt[1].fX; | |
| 1343 y1 = srcPt[2].fY - srcPt[1].fY; | |
| 1344 x2 = srcPt[2].fX - srcPt[3].fX; | |
| 1345 y2 = srcPt[2].fY - srcPt[3].fY; | |
| 1346 | |
| 1347 /* check if abs(x2) > abs(y2) */ | |
| 1348 if ( x2 > 0 ? y2 > 0 ? x2 > y2 : x2 > -y2 : y2 > 0 ? -x2 > y2 : x2 < y2) { | |
| 1349 SkFixed denom = SkMulDiv(x1, y2, x2) - y1; | |
| 1350 if (0 == denom) { | |
| 1351 return false; | |
| 1352 } | |
| 1353 a1 = SkFractDiv(SkMulDiv(x0 - x1, y2, x2) - y0 + y1, denom); | |
| 1354 } else { | |
| 1355 SkFixed denom = x1 - SkMulDiv(y1, x2, y2); | |
| 1356 if (0 == denom) { | |
| 1357 return false; | |
| 1358 } | |
| 1359 a1 = SkFractDiv(x0 - x1 - SkMulDiv(y0 - y1, x2, y2), denom); | |
| 1360 } | |
| 1361 | |
| 1362 /* check if abs(x1) > abs(y1) */ | |
| 1363 if ( x1 > 0 ? y1 > 0 ? x1 > y1 : x1 > -y1 : y1 > 0 ? -x1 > y1 : x1 < y1) { | |
| 1364 SkFixed denom = y2 - SkMulDiv(x2, y1, x1); | |
| 1365 if (0 == denom) { | |
| 1366 return false; | |
| 1367 } | |
| 1368 a2 = SkFractDiv(y0 - y2 - SkMulDiv(x0 - x2, y1, x1), denom); | |
| 1369 } else { | |
| 1370 SkFixed denom = SkMulDiv(y2, x1, y1) - x2; | |
| 1371 if (0 == denom) { | |
| 1372 return false; | |
| 1373 } | |
| 1374 a2 = SkFractDiv(SkMulDiv(y0 - y2, x1, y1) - x0 + x2, denom); | |
| 1375 } | |
| 1376 | |
| 1377 // need to check if SkFixedDiv overflows... | |
| 1378 dst->fMat[kMScaleX] = SkFixedDiv(SkFractMul(a2, srcPt[3].fX) + | |
| 1379 srcPt[3].fX - srcPt[0].fX, scale.fX); | |
| 1380 dst->fMat[kMSkewY] = SkFixedDiv(SkFractMul(a2, srcPt[3].fY) + | |
| 1381 srcPt[3].fY - srcPt[0].fY, scale.fX); | |
| 1382 dst->fMat[kMPersp0] = SkFixedDiv(a2, scale.fX); | |
| 1383 dst->fMat[kMSkewX] = SkFixedDiv(SkFractMul(a1, srcPt[1].fX) + | |
| 1384 srcPt[1].fX - srcPt[0].fX, scale.fY); | |
| 1385 dst->fMat[kMScaleY] = SkFixedDiv(SkFractMul(a1, srcPt[1].fY) + | |
| 1386 srcPt[1].fY - srcPt[0].fY, scale.fY); | |
| 1387 dst->fMat[kMPersp1] = SkFixedDiv(a1, scale.fY); | |
| 1388 dst->fMat[kMTransX] = srcPt[0].fX; | |
| 1389 dst->fMat[kMTransY] = srcPt[0].fY; | |
| 1390 dst->fMat[kMPersp2] = SK_Fract1; | |
| 1391 dst->setTypeMask(kUnknown_Mask); | |
| 1392 return true; | |
| 1393 } | |
| 1394 | |
| 1395 #else /* Scalar is float */ | |
| 1396 | |
| 1397 static inline bool checkForZero(float x) { | |
| 1398 return x*x == 0; | |
| 1399 } | |
| 1400 | |
| 1401 static inline bool poly_to_point(SkPoint* pt, const SkPoint poly[], int count) { | |
| 1402 float x = 1, y = 1; | |
| 1403 SkPoint pt1, pt2; | |
| 1404 | |
| 1405 if (count > 1) { | |
| 1406 pt1.fX = poly[1].fX - poly[0].fX; | |
| 1407 pt1.fY = poly[1].fY - poly[0].fY; | |
| 1408 y = SkPoint::Length(pt1.fX, pt1.fY); | |
| 1409 if (checkForZero(y)) { | |
| 1410 return false; | |
| 1411 } | |
| 1412 switch (count) { | |
| 1413 case 2: | |
| 1414 break; | |
| 1415 case 3: | |
| 1416 pt2.fX = poly[0].fY - poly[2].fY; | |
| 1417 pt2.fY = poly[2].fX - poly[0].fX; | |
| 1418 goto CALC_X; | |
| 1419 default: | |
| 1420 pt2.fX = poly[0].fY - poly[3].fY; | |
| 1421 pt2.fY = poly[3].fX - poly[0].fX; | |
| 1422 CALC_X: | |
| 1423 x = SkScalarDiv(SkScalarMul(pt1.fX, pt2.fX) + | |
| 1424 SkScalarMul(pt1.fY, pt2.fY), y); | |
| 1425 break; | |
| 1426 } | |
| 1427 } | |
| 1428 pt->set(x, y); | |
| 1429 return true; | |
| 1430 } | |
| 1431 | |
| 1432 bool SkMatrix::Poly2Proc(const SkPoint srcPt[], SkMatrix* dst, | |
| 1433 const SkPoint& scale) { | |
| 1434 float invScale = 1 / scale.fY; | |
| 1435 | |
| 1436 dst->fMat[kMScaleX] = (srcPt[1].fY - srcPt[0].fY) * invScale; | |
| 1437 dst->fMat[kMSkewY] = (srcPt[0].fX - srcPt[1].fX) * invScale; | |
| 1438 dst->fMat[kMPersp0] = 0; | |
| 1439 dst->fMat[kMSkewX] = (srcPt[1].fX - srcPt[0].fX) * invScale; | |
| 1440 dst->fMat[kMScaleY] = (srcPt[1].fY - srcPt[0].fY) * invScale; | |
| 1441 dst->fMat[kMPersp1] = 0; | |
| 1442 dst->fMat[kMTransX] = srcPt[0].fX; | |
| 1443 dst->fMat[kMTransY] = srcPt[0].fY; | |
| 1444 dst->fMat[kMPersp2] = 1; | |
| 1445 dst->setTypeMask(kUnknown_Mask); | |
| 1446 return true; | |
| 1447 } | |
| 1448 | |
| 1449 bool SkMatrix::Poly3Proc(const SkPoint srcPt[], SkMatrix* dst, | |
| 1450 const SkPoint& scale) { | |
| 1451 float invScale = 1 / scale.fX; | |
| 1452 dst->fMat[kMScaleX] = (srcPt[2].fX - srcPt[0].fX) * invScale; | |
| 1453 dst->fMat[kMSkewY] = (srcPt[2].fY - srcPt[0].fY) * invScale; | |
| 1454 dst->fMat[kMPersp0] = 0; | |
| 1455 | |
| 1456 invScale = 1 / scale.fY; | |
| 1457 dst->fMat[kMSkewX] = (srcPt[1].fX - srcPt[0].fX) * invScale; | |
| 1458 dst->fMat[kMScaleY] = (srcPt[1].fY - srcPt[0].fY) * invScale; | |
| 1459 dst->fMat[kMPersp1] = 0; | |
| 1460 | |
| 1461 dst->fMat[kMTransX] = srcPt[0].fX; | |
| 1462 dst->fMat[kMTransY] = srcPt[0].fY; | |
| 1463 dst->fMat[kMPersp2] = 1; | |
| 1464 dst->setTypeMask(kUnknown_Mask); | |
| 1465 return true; | |
| 1466 } | |
| 1467 | |
| 1468 bool SkMatrix::Poly4Proc(const SkPoint srcPt[], SkMatrix* dst, | |
| 1469 const SkPoint& scale) { | |
| 1470 float a1, a2; | |
| 1471 float x0, y0, x1, y1, x2, y2; | |
| 1472 | |
| 1473 x0 = srcPt[2].fX - srcPt[0].fX; | |
| 1474 y0 = srcPt[2].fY - srcPt[0].fY; | |
| 1475 x1 = srcPt[2].fX - srcPt[1].fX; | |
| 1476 y1 = srcPt[2].fY - srcPt[1].fY; | |
| 1477 x2 = srcPt[2].fX - srcPt[3].fX; | |
| 1478 y2 = srcPt[2].fY - srcPt[3].fY; | |
| 1479 | |
| 1480 /* check if abs(x2) > abs(y2) */ | |
| 1481 if ( x2 > 0 ? y2 > 0 ? x2 > y2 : x2 > -y2 : y2 > 0 ? -x2 > y2 : x2 < y2) { | |
| 1482 float denom = SkScalarMulDiv(x1, y2, x2) - y1; | |
| 1483 if (checkForZero(denom)) { | |
| 1484 return false; | |
| 1485 } | |
| 1486 a1 = SkScalarDiv(SkScalarMulDiv(x0 - x1, y2, x2) - y0 + y1, denom); | |
| 1487 } else { | |
| 1488 float denom = x1 - SkScalarMulDiv(y1, x2, y2); | |
| 1489 if (checkForZero(denom)) { | |
| 1490 return false; | |
| 1491 } | |
| 1492 a1 = SkScalarDiv(x0 - x1 - SkScalarMulDiv(y0 - y1, x2, y2), denom); | |
| 1493 } | |
| 1494 | |
| 1495 /* check if abs(x1) > abs(y1) */ | |
| 1496 if ( x1 > 0 ? y1 > 0 ? x1 > y1 : x1 > -y1 : y1 > 0 ? -x1 > y1 : x1 < y1) { | |
| 1497 float denom = y2 - SkScalarMulDiv(x2, y1, x1); | |
| 1498 if (checkForZero(denom)) { | |
| 1499 return false; | |
| 1500 } | |
| 1501 a2 = SkScalarDiv(y0 - y2 - SkScalarMulDiv(x0 - x2, y1, x1), denom); | |
| 1502 } else { | |
| 1503 float denom = SkScalarMulDiv(y2, x1, y1) - x2; | |
| 1504 if (checkForZero(denom)) { | |
| 1505 return false; | |
| 1506 } | |
| 1507 a2 = SkScalarDiv(SkScalarMulDiv(y0 - y2, x1, y1) - x0 + x2, denom); | |
| 1508 } | |
| 1509 | |
| 1510 float invScale = 1 / scale.fX; | |
| 1511 dst->fMat[kMScaleX] = SkScalarMul(SkScalarMul(a2, srcPt[3].fX) + | |
| 1512 srcPt[3].fX - srcPt[0].fX, invScale); | |
| 1513 dst->fMat[kMSkewY] = SkScalarMul(SkScalarMul(a2, srcPt[3].fY) + | |
| 1514 srcPt[3].fY - srcPt[0].fY, invScale); | |
| 1515 dst->fMat[kMPersp0] = SkScalarMul(a2, invScale); | |
| 1516 invScale = 1 / scale.fY; | |
| 1517 dst->fMat[kMSkewX] = SkScalarMul(SkScalarMul(a1, srcPt[1].fX) + | |
| 1518 srcPt[1].fX - srcPt[0].fX, invScale); | |
| 1519 dst->fMat[kMScaleY] = SkScalarMul(SkScalarMul(a1, srcPt[1].fY) + | |
| 1520 srcPt[1].fY - srcPt[0].fY, invScale); | |
| 1521 dst->fMat[kMPersp1] = SkScalarMul(a1, invScale); | |
| 1522 dst->fMat[kMTransX] = srcPt[0].fX; | |
| 1523 dst->fMat[kMTransY] = srcPt[0].fY; | |
| 1524 dst->fMat[kMPersp2] = 1; | |
| 1525 dst->setTypeMask(kUnknown_Mask); | |
| 1526 return true; | |
| 1527 } | |
| 1528 | |
| 1529 #endif | |
| 1530 | |
| 1531 typedef bool (*PolyMapProc)(const SkPoint[], SkMatrix*, const SkPoint&); | |
| 1532 | |
| 1533 /* Taken from Rob Johnson's original sample code in QuickDraw GX | |
| 1534 */ | |
| 1535 bool SkMatrix::setPolyToPoly(const SkPoint src[], const SkPoint dst[], | |
| 1536 int count) { | |
| 1537 if ((unsigned)count > 4) { | |
| 1538 SkDebugf("--- SkMatrix::setPolyToPoly count out of range %d\n", count); | |
| 1539 return false; | |
| 1540 } | |
| 1541 | |
| 1542 if (0 == count) { | |
| 1543 this->reset(); | |
| 1544 return true; | |
| 1545 } | |
| 1546 if (1 == count) { | |
| 1547 this->setTranslate(dst[0].fX - src[0].fX, dst[0].fY - src[0].fY); | |
| 1548 return true; | |
| 1549 } | |
| 1550 | |
| 1551 SkPoint scale; | |
| 1552 if (!poly_to_point(&scale, src, count) || | |
| 1553 SkScalarNearlyZero(scale.fX) || | |
| 1554 SkScalarNearlyZero(scale.fY)) { | |
| 1555 return false; | |
| 1556 } | |
| 1557 | |
| 1558 static const PolyMapProc gPolyMapProcs[] = { | |
| 1559 SkMatrix::Poly2Proc, SkMatrix::Poly3Proc, SkMatrix::Poly4Proc | |
| 1560 }; | |
| 1561 PolyMapProc proc = gPolyMapProcs[count - 2]; | |
| 1562 | |
| 1563 SkMatrix tempMap, result; | |
| 1564 tempMap.setTypeMask(kUnknown_Mask); | |
| 1565 | |
| 1566 if (!proc(src, &tempMap, scale)) { | |
| 1567 return false; | |
| 1568 } | |
| 1569 if (!tempMap.invert(&result)) { | |
| 1570 return false; | |
| 1571 } | |
| 1572 if (!proc(dst, &tempMap, scale)) { | |
| 1573 return false; | |
| 1574 } | |
| 1575 if (!result.setConcat(tempMap, result)) { | |
| 1576 return false; | |
| 1577 } | |
| 1578 *this = result; | |
| 1579 return true; | |
| 1580 } | |
| 1581 | |
| 1582 /////////////////////////////////////////////////////////////////////////////// | |
| 1583 | |
| 1584 void SkMatrix::dump() const { | |
| 1585 // Note: We don't use this so it's #if 0'd out. If turned back on, there | |
| 1586 // is an #ifdef parsing difference between gcc and msvc where msvc incorrectly | |
| 1587 // allows a missing #endif. Attempts to reconcile proved unfruitful thus we | |
| 1588 // just turned it off. | |
| 1589 #if 0 | |
| 1590 // ensure the fTypeMask is up2date | |
| 1591 (void)this->getType(); | |
| 1592 #ifdef SK_DEBUG | |
| 1593 int mask = this->computeTypeMask(); | |
| 1594 SkASSERT(mask == fTypeMask); | |
| 1595 #endif | |
| 1596 | |
| 1597 #ifdef SK_CAN_USE_FLOAT | |
| 1598 SkDebugf("[%8.4f %8.4f %8.4f] [%8.4f %8.4f %8.4f] [%8.4f %8.4f %8.4f] %x\n", | |
| 1599 #ifdef SK_SCALAR_IS_FLOAT | |
| 1600 fMat[0], fMat[1], fMat[2], fMat[3], fMat[4], fMat[5], | |
| 1601 fMat[6], fMat[7], fMat[8], fTypeMask); | |
| 1602 #else | |
| 1603 SkFixedToFloat(fMat[0]), SkFixedToFloat(fMat[1]), SkFixedToFloat(fMat[2]), | |
| 1604 SkFixedToFloat(fMat[3]), SkFixedToFloat(fMat[4]), SkFixedToFloat(fMat[5]), | |
| 1605 SkFractToFloat(fMat[6]), SkFractToFloat(fMat[7]), SkFractToFloat(fMat[8]), | |
| 1606 fTypeMask); | |
| 1607 #endif | |
| 1608 #endif | |
| 1609 #endif | |
| 1610 } | |
| 1611 | |
| 1612 /////////////////////////////////////////////////////////////////////////////// | |
| 1613 | |
| 1614 #ifdef SK_DEBUG | |
| 1615 | |
| 1616 void SkMatrix::UnitTest() { | |
| 1617 #ifdef SK_SUPPORT_UNITTEST | |
| 1618 SkMatrix mat, inverse, iden1, iden2; | |
| 1619 | |
| 1620 mat.reset(); | |
| 1621 mat.setTranslate(SK_Scalar1, SK_Scalar1); | |
| 1622 mat.invert(&inverse); | |
| 1623 inverse.dump(); | |
| 1624 iden1.setConcat(mat, inverse); | |
| 1625 iden1.dump(); | |
| 1626 | |
| 1627 mat.setScale(SkIntToScalar(2), SkIntToScalar(2)); | |
| 1628 mat.invert(&inverse); | |
| 1629 inverse.dump(); | |
| 1630 iden1.setConcat(mat, inverse); | |
| 1631 iden1.dump(); | |
| 1632 | |
| 1633 mat.setScale(SK_Scalar1/2, SK_Scalar1/2); | |
| 1634 mat.invert(&inverse); | |
| 1635 inverse.dump(); | |
| 1636 iden1.setConcat(mat, inverse); | |
| 1637 iden1.dump(); | |
| 1638 SkASSERT(iden1.isIdentity()); | |
| 1639 | |
| 1640 mat.setScale(SkIntToScalar(3), SkIntToScalar(5), SkIntToScalar(20), 0); | |
| 1641 mat.postRotate(SkIntToScalar(25)); | |
| 1642 | |
| 1643 SkASSERT(mat.invert(NULL)); | |
| 1644 mat.invert(&inverse); | |
| 1645 | |
| 1646 iden1.setConcat(mat, inverse); | |
| 1647 iden2.setConcat(inverse, mat); | |
| 1648 | |
| 1649 iden1.dump(); | |
| 1650 // SkASSERT(iden1.isIdentity()); | |
| 1651 iden2.dump(); | |
| 1652 // SkASSERT(iden2.isIdentity()); | |
| 1653 | |
| 1654 // rectStaysRect test | |
| 1655 { | |
| 1656 static const struct { | |
| 1657 SkScalar m00, m01, m10, m11; | |
| 1658 bool mStaysRect; | |
| 1659 } | |
| 1660 gRectStaysRectSamples[] = { | |
| 1661 { 0, 0, 0, 0, false }, | |
| 1662 { 0, 0, 0, SK_Scalar1, false }, | |
| 1663 { 0, 0, SK_Scalar1, 0, false }, | |
| 1664 { 0, 0, SK_Scalar1, SK_Scalar1, false }, | |
| 1665 { 0, SK_Scalar1, 0, 0, false }, | |
| 1666 { 0, SK_Scalar1, 0, SK_Scalar1, false }, | |
| 1667 { 0, SK_Scalar1, SK_Scalar1, 0, true }, | |
| 1668 { 0, SK_Scalar1, SK_Scalar1, SK_Scalar1, false }, | |
| 1669 { SK_Scalar1, 0, 0, 0, false }, | |
| 1670 { SK_Scalar1, 0, 0, SK_Scalar1, true }, | |
| 1671 { SK_Scalar1, 0, SK_Scalar1, 0, false }, | |
| 1672 { SK_Scalar1, 0, SK_Scalar1, SK_Scalar1, false }, | |
| 1673 { SK_Scalar1, SK_Scalar1, 0, 0, false }, | |
| 1674 { SK_Scalar1, SK_Scalar1, 0, SK_Scalar1, false }, | |
| 1675 { SK_Scalar1, SK_Scalar1, SK_Scalar1, 0, false }, | |
| 1676 { SK_Scalar1, SK_Scalar1, SK_Scalar1, SK_Scalar1, false } | |
| 1677 }; | |
| 1678 | |
| 1679 for (size_t i = 0; i < SK_ARRAY_COUNT(gRectStaysRectSamples); i++) { | |
| 1680 SkMatrix m; | |
| 1681 | |
| 1682 m.reset(); | |
| 1683 m.set(SkMatrix::kMScaleX, gRectStaysRectSamples[i].m00); | |
| 1684 m.set(SkMatrix::kMSkewX, gRectStaysRectSamples[i].m01); | |
| 1685 m.set(SkMatrix::kMSkewY, gRectStaysRectSamples[i].m10); | |
| 1686 m.set(SkMatrix::kMScaleY, gRectStaysRectSamples[i].m11); | |
| 1687 SkASSERT(m.rectStaysRect() == gRectStaysRectSamples[i].mStaysRect); | |
| 1688 } | |
| 1689 } | |
| 1690 #endif | |
| 1691 } | |
| 1692 | |
| 1693 #endif | |
| OLD | NEW |
|---|
Chromium Code Reviews
Issue 113827:
Remove the remainder of the skia source code from the Chromium repo.... (Closed)
Base URL: svn://chrome-svn/chrome/trunk/src/