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| 1 /* | |
| 2 * Copyright 2011 Google Inc. | |
| 3 * | |
| 4 * Use of this source code is governed by a BSD-style license that can be | |
| 5 * found in the LICENSE file. | |
| 6 */ | |
| 7 | |
| 8 #include "SkMatrix44.h" | |
| 9 | |
| 10 static inline bool eq4(const SkMScalar* SK_RESTRICT a, | |
| 11 const SkMScalar* SK_RESTRICT b) { | |
| 12 return (a[0] == b[0]) & (a[1] == b[1]) & (a[2] == b[2]) & (a[3] == b[3]); | |
| 13 } | |
| 14 | |
| 15 bool SkMatrix44::operator==(const SkMatrix44& other) const { | |
| 16 if (this == &other) { | |
| 17 return true; | |
| 18 } | |
| 19 | |
| 20 if (this->isTriviallyIdentity() && other.isTriviallyIdentity()) { | |
| 21 return true; | |
| 22 } | |
| 23 | |
| 24 const SkMScalar* SK_RESTRICT a = &fMat[0][0]; | |
| 25 const SkMScalar* SK_RESTRICT b = &other.fMat[0][0]; | |
| 26 | |
| 27 #if 0 | |
| 28 for (int i = 0; i < 16; ++i) { | |
| 29 if (a[i] != b[i]) { | |
| 30 return false; | |
| 31 } | |
| 32 } | |
| 33 return true; | |
| 34 #else | |
| 35 // to reduce branch instructions, we compare 4 at a time. | |
| 36 // see bench/Matrix44Bench.cpp for test. | |
| 37 if (!eq4(&a[0], &b[0])) { | |
| 38 return false; | |
| 39 } | |
| 40 if (!eq4(&a[4], &b[4])) { | |
| 41 return false; | |
| 42 } | |
| 43 if (!eq4(&a[8], &b[8])) { | |
| 44 return false; | |
| 45 } | |
| 46 return eq4(&a[12], &b[12]); | |
| 47 #endif | |
| 48 } | |
| 49 | |
| 50 /////////////////////////////////////////////////////////////////////////////// | |
| 51 | |
| 52 int SkMatrix44::computeTypeMask() const { | |
| 53 unsigned mask = 0; | |
| 54 | |
| 55 if (0 != perspX() || 0 != perspY() || 0 != perspZ() || 1 != fMat[3][3]) { | |
| 56 return kTranslate_Mask | kScale_Mask | kAffine_Mask | kPerspective_Mask; | |
| 57 } | |
| 58 | |
| 59 if (0 != transX() || 0 != transY() || 0 != transZ()) { | |
| 60 mask |= kTranslate_Mask; | |
| 61 } | |
| 62 | |
| 63 if (1 != scaleX() || 1 != scaleY() || 1 != scaleZ()) { | |
| 64 mask |= kScale_Mask; | |
| 65 } | |
| 66 | |
| 67 if (0 != fMat[1][0] || 0 != fMat[0][1] || 0 != fMat[0][2] || | |
| 68 0 != fMat[2][0] || 0 != fMat[1][2] || 0 != fMat[2][1]) { | |
| 69 mask |= kAffine_Mask; | |
| 70 } | |
| 71 | |
| 72 return mask; | |
| 73 } | |
| 74 | |
| 75 /////////////////////////////////////////////////////////////////////////////// | |
| 76 | |
| 77 void SkMatrix44::asColMajorf(float dst[]) const { | |
| 78 const SkMScalar* src = &fMat[0][0]; | |
| 79 #ifdef SK_MSCALAR_IS_DOUBLE | |
| 80 for (int i = 0; i < 16; ++i) { | |
| 81 dst[i] = SkMScalarToFloat(src[i]); | |
| 82 } | |
| 83 #elif defined SK_MSCALAR_IS_FLOAT | |
| 84 memcpy(dst, src, 16 * sizeof(float)); | |
| 85 #endif | |
| 86 } | |
| 87 | |
| 88 void SkMatrix44::asColMajord(double dst[]) const { | |
| 89 const SkMScalar* src = &fMat[0][0]; | |
| 90 #ifdef SK_MSCALAR_IS_DOUBLE | |
| 91 memcpy(dst, src, 16 * sizeof(double)); | |
| 92 #elif defined SK_MSCALAR_IS_FLOAT | |
| 93 for (int i = 0; i < 16; ++i) { | |
| 94 dst[i] = SkMScalarToDouble(src[i]); | |
| 95 } | |
| 96 #endif | |
| 97 } | |
| 98 | |
| 99 void SkMatrix44::asRowMajorf(float dst[]) const { | |
| 100 const SkMScalar* src = &fMat[0][0]; | |
| 101 for (int i = 0; i < 4; ++i) { | |
| 102 dst[0] = SkMScalarToFloat(src[0]); | |
| 103 dst[4] = SkMScalarToFloat(src[1]); | |
| 104 dst[8] = SkMScalarToFloat(src[2]); | |
| 105 dst[12] = SkMScalarToFloat(src[3]); | |
| 106 src += 4; | |
| 107 dst += 1; | |
| 108 } | |
| 109 } | |
| 110 | |
| 111 void SkMatrix44::asRowMajord(double dst[]) const { | |
| 112 const SkMScalar* src = &fMat[0][0]; | |
| 113 for (int i = 0; i < 4; ++i) { | |
| 114 dst[0] = SkMScalarToDouble(src[0]); | |
| 115 dst[4] = SkMScalarToDouble(src[1]); | |
| 116 dst[8] = SkMScalarToDouble(src[2]); | |
| 117 dst[12] = SkMScalarToDouble(src[3]); | |
| 118 src += 4; | |
| 119 dst += 1; | |
| 120 } | |
| 121 } | |
| 122 | |
| 123 void SkMatrix44::setColMajorf(const float src[]) { | |
| 124 SkMScalar* dst = &fMat[0][0]; | |
| 125 #ifdef SK_MSCALAR_IS_DOUBLE | |
| 126 for (int i = 0; i < 16; ++i) { | |
| 127 dst[i] = SkMScalarToFloat(src[i]); | |
| 128 } | |
| 129 #elif defined SK_MSCALAR_IS_FLOAT | |
| 130 memcpy(dst, src, 16 * sizeof(float)); | |
| 131 #endif | |
| 132 | |
| 133 this->dirtyTypeMask(); | |
| 134 } | |
| 135 | |
| 136 void SkMatrix44::setColMajord(const double src[]) { | |
| 137 SkMScalar* dst = &fMat[0][0]; | |
| 138 #ifdef SK_MSCALAR_IS_DOUBLE | |
| 139 memcpy(dst, src, 16 * sizeof(double)); | |
| 140 #elif defined SK_MSCALAR_IS_FLOAT | |
| 141 for (int i = 0; i < 16; ++i) { | |
| 142 dst[i] = SkDoubleToMScalar(src[i]); | |
| 143 } | |
| 144 #endif | |
| 145 | |
| 146 this->dirtyTypeMask(); | |
| 147 } | |
| 148 | |
| 149 void SkMatrix44::setRowMajorf(const float src[]) { | |
| 150 SkMScalar* dst = &fMat[0][0]; | |
| 151 for (int i = 0; i < 4; ++i) { | |
| 152 dst[0] = SkMScalarToFloat(src[0]); | |
| 153 dst[4] = SkMScalarToFloat(src[1]); | |
| 154 dst[8] = SkMScalarToFloat(src[2]); | |
| 155 dst[12] = SkMScalarToFloat(src[3]); | |
| 156 src += 4; | |
| 157 dst += 1; | |
| 158 } | |
| 159 this->dirtyTypeMask(); | |
| 160 } | |
| 161 | |
| 162 void SkMatrix44::setRowMajord(const double src[]) { | |
| 163 SkMScalar* dst = &fMat[0][0]; | |
| 164 for (int i = 0; i < 4; ++i) { | |
| 165 dst[0] = SkDoubleToMScalar(src[0]); | |
| 166 dst[4] = SkDoubleToMScalar(src[1]); | |
| 167 dst[8] = SkDoubleToMScalar(src[2]); | |
| 168 dst[12] = SkDoubleToMScalar(src[3]); | |
| 169 src += 4; | |
| 170 dst += 1; | |
| 171 } | |
| 172 this->dirtyTypeMask(); | |
| 173 } | |
| 174 | |
| 175 /////////////////////////////////////////////////////////////////////////////// | |
| 176 | |
| 177 const SkMatrix44& SkMatrix44::I() { | |
| 178 static const SkMatrix44 gIdentity44(kIdentity_Constructor); | |
| 179 return gIdentity44; | |
| 180 } | |
| 181 | |
| 182 void SkMatrix44::setIdentity() { | |
| 183 fMat[0][0] = 1; | |
| 184 fMat[0][1] = 0; | |
| 185 fMat[0][2] = 0; | |
| 186 fMat[0][3] = 0; | |
| 187 fMat[1][0] = 0; | |
| 188 fMat[1][1] = 1; | |
| 189 fMat[1][2] = 0; | |
| 190 fMat[1][3] = 0; | |
| 191 fMat[2][0] = 0; | |
| 192 fMat[2][1] = 0; | |
| 193 fMat[2][2] = 1; | |
| 194 fMat[2][3] = 0; | |
| 195 fMat[3][0] = 0; | |
| 196 fMat[3][1] = 0; | |
| 197 fMat[3][2] = 0; | |
| 198 fMat[3][3] = 1; | |
| 199 this->setTypeMask(kIdentity_Mask); | |
| 200 } | |
| 201 | |
| 202 void SkMatrix44::set3x3(SkMScalar m00, SkMScalar m01, SkMScalar m02, | |
| 203 SkMScalar m10, SkMScalar m11, SkMScalar m12, | |
| 204 SkMScalar m20, SkMScalar m21, SkMScalar m22) { | |
| 205 fMat[0][0] = m00; fMat[0][1] = m01; fMat[0][2] = m02; fMat[0][3] = 0; | |
| 206 fMat[1][0] = m10; fMat[1][1] = m11; fMat[1][2] = m12; fMat[1][3] = 0; | |
| 207 fMat[2][0] = m20; fMat[2][1] = m21; fMat[2][2] = m22; fMat[2][3] = 0; | |
| 208 fMat[3][0] = 0; fMat[3][1] = 0; fMat[3][2] = 0; fMat[3][3] = 1; | |
| 209 this->dirtyTypeMask(); | |
| 210 } | |
| 211 | |
| 212 /////////////////////////////////////////////////////////////////////////////// | |
| 213 | |
| 214 void SkMatrix44::setTranslate(SkMScalar dx, SkMScalar dy, SkMScalar dz) { | |
| 215 this->setIdentity(); | |
| 216 | |
| 217 if (!dx && !dy && !dz) { | |
| 218 return; | |
| 219 } | |
| 220 | |
| 221 fMat[3][0] = dx; | |
| 222 fMat[3][1] = dy; | |
| 223 fMat[3][2] = dz; | |
| 224 this->setTypeMask(kTranslate_Mask); | |
| 225 } | |
| 226 | |
| 227 void SkMatrix44::preTranslate(SkMScalar dx, SkMScalar dy, SkMScalar dz) { | |
| 228 if (!dx && !dy && !dz) { | |
| 229 return; | |
| 230 } | |
| 231 | |
| 232 for (int i = 0; i < 4; ++i) { | |
| 233 fMat[3][i] = fMat[0][i] * dx + fMat[1][i] * dy + fMat[2][i] * dz + fMat[
3][i]; | |
| 234 } | |
| 235 this->dirtyTypeMask(); | |
| 236 } | |
| 237 | |
| 238 void SkMatrix44::postTranslate(SkMScalar dx, SkMScalar dy, SkMScalar dz) { | |
| 239 if (!dx && !dy && !dz) { | |
| 240 return; | |
| 241 } | |
| 242 | |
| 243 if (this->getType() & kPerspective_Mask) { | |
| 244 for (int i = 0; i < 4; ++i) { | |
| 245 fMat[i][0] += fMat[i][3] * dx; | |
| 246 fMat[i][1] += fMat[i][3] * dy; | |
| 247 fMat[i][2] += fMat[i][3] * dz; | |
| 248 } | |
| 249 } else { | |
| 250 fMat[3][0] += dx; | |
| 251 fMat[3][1] += dy; | |
| 252 fMat[3][2] += dz; | |
| 253 this->dirtyTypeMask(); | |
| 254 } | |
| 255 } | |
| 256 | |
| 257 /////////////////////////////////////////////////////////////////////////////// | |
| 258 | |
| 259 void SkMatrix44::setScale(SkMScalar sx, SkMScalar sy, SkMScalar sz) { | |
| 260 this->setIdentity(); | |
| 261 | |
| 262 if (1 == sx && 1 == sy && 1 == sz) { | |
| 263 return; | |
| 264 } | |
| 265 | |
| 266 fMat[0][0] = sx; | |
| 267 fMat[1][1] = sy; | |
| 268 fMat[2][2] = sz; | |
| 269 this->setTypeMask(kScale_Mask); | |
| 270 } | |
| 271 | |
| 272 void SkMatrix44::preScale(SkMScalar sx, SkMScalar sy, SkMScalar sz) { | |
| 273 if (1 == sx && 1 == sy && 1 == sz) { | |
| 274 return; | |
| 275 } | |
| 276 | |
| 277 // The implementation matrix * pureScale can be shortcut | |
| 278 // by knowing that pureScale components effectively scale | |
| 279 // the columns of the original matrix. | |
| 280 for (int i = 0; i < 4; i++) { | |
| 281 fMat[0][i] *= sx; | |
| 282 fMat[1][i] *= sy; | |
| 283 fMat[2][i] *= sz; | |
| 284 } | |
| 285 this->dirtyTypeMask(); | |
| 286 } | |
| 287 | |
| 288 void SkMatrix44::postScale(SkMScalar sx, SkMScalar sy, SkMScalar sz) { | |
| 289 if (1 == sx && 1 == sy && 1 == sz) { | |
| 290 return; | |
| 291 } | |
| 292 | |
| 293 for (int i = 0; i < 4; i++) { | |
| 294 fMat[i][0] *= sx; | |
| 295 fMat[i][1] *= sy; | |
| 296 fMat[i][2] *= sz; | |
| 297 } | |
| 298 this->dirtyTypeMask(); | |
| 299 } | |
| 300 | |
| 301 /////////////////////////////////////////////////////////////////////////////// | |
| 302 | |
| 303 void SkMatrix44::setRotateAbout(SkMScalar x, SkMScalar y, SkMScalar z, | |
| 304 SkMScalar radians) { | |
| 305 double len2 = (double)x * x + (double)y * y + (double)z * z; | |
| 306 if (1 != len2) { | |
| 307 if (0 == len2) { | |
| 308 this->setIdentity(); | |
| 309 return; | |
| 310 } | |
| 311 double scale = 1 / sqrt(len2); | |
| 312 x = SkDoubleToMScalar(x * scale); | |
| 313 y = SkDoubleToMScalar(y * scale); | |
| 314 z = SkDoubleToMScalar(z * scale); | |
| 315 } | |
| 316 this->setRotateAboutUnit(x, y, z, radians); | |
| 317 } | |
| 318 | |
| 319 void SkMatrix44::setRotateAboutUnit(SkMScalar x, SkMScalar y, SkMScalar z, | |
| 320 SkMScalar radians) { | |
| 321 double c = cos(radians); | |
| 322 double s = sin(radians); | |
| 323 double C = 1 - c; | |
| 324 double xs = x * s; | |
| 325 double ys = y * s; | |
| 326 double zs = z * s; | |
| 327 double xC = x * C; | |
| 328 double yC = y * C; | |
| 329 double zC = z * C; | |
| 330 double xyC = x * yC; | |
| 331 double yzC = y * zC; | |
| 332 double zxC = z * xC; | |
| 333 | |
| 334 // if you're looking at wikipedia, remember that we're column major. | |
| 335 this->set3x3(SkDoubleToMScalar(x * xC + c), // scale x | |
| 336 SkDoubleToMScalar(xyC + zs), // skew x | |
| 337 SkDoubleToMScalar(zxC - ys), // trans x | |
| 338 | |
| 339 SkDoubleToMScalar(xyC - zs), // skew y | |
| 340 SkDoubleToMScalar(y * yC + c), // scale y | |
| 341 SkDoubleToMScalar(yzC + xs), // trans y | |
| 342 | |
| 343 SkDoubleToMScalar(zxC + ys), // persp x | |
| 344 SkDoubleToMScalar(yzC - xs), // persp y | |
| 345 SkDoubleToMScalar(z * zC + c)); // persp 2 | |
| 346 } | |
| 347 | |
| 348 /////////////////////////////////////////////////////////////////////////////// | |
| 349 | |
| 350 static bool bits_isonly(int value, int mask) { | |
| 351 return 0 == (value & ~mask); | |
| 352 } | |
| 353 | |
| 354 void SkMatrix44::setConcat(const SkMatrix44& a, const SkMatrix44& b) { | |
| 355 const SkMatrix44::TypeMask a_mask = a.getType(); | |
| 356 const SkMatrix44::TypeMask b_mask = b.getType(); | |
| 357 | |
| 358 if (kIdentity_Mask == a_mask) { | |
| 359 *this = b; | |
| 360 return; | |
| 361 } | |
| 362 if (kIdentity_Mask == b_mask) { | |
| 363 *this = a; | |
| 364 return; | |
| 365 } | |
| 366 | |
| 367 bool useStorage = (this == &a || this == &b); | |
| 368 SkMScalar storage[16]; | |
| 369 SkMScalar* result = useStorage ? storage : &fMat[0][0]; | |
| 370 | |
| 371 // Both matrices are at most scale+translate | |
| 372 if (bits_isonly(a_mask | b_mask, kScale_Mask | kTranslate_Mask)) { | |
| 373 result[0] = a.fMat[0][0] * b.fMat[0][0]; | |
| 374 result[1] = result[2] = result[3] = result[4] = 0; | |
| 375 result[5] = a.fMat[1][1] * b.fMat[1][1]; | |
| 376 result[6] = result[7] = result[8] = result[9] = 0; | |
| 377 result[10] = a.fMat[2][2] * b.fMat[2][2]; | |
| 378 result[11] = 0; | |
| 379 result[12] = a.fMat[0][0] * b.fMat[3][0] + a.fMat[3][0]; | |
| 380 result[13] = a.fMat[1][1] * b.fMat[3][1] + a.fMat[3][1]; | |
| 381 result[14] = a.fMat[2][2] * b.fMat[3][2] + a.fMat[3][2]; | |
| 382 result[15] = 1; | |
| 383 } else { | |
| 384 for (int j = 0; j < 4; j++) { | |
| 385 for (int i = 0; i < 4; i++) { | |
| 386 double value = 0; | |
| 387 for (int k = 0; k < 4; k++) { | |
| 388 value += SkMScalarToDouble(a.fMat[k][i]) * b.fMat[j][k]; | |
| 389 } | |
| 390 *result++ = SkDoubleToMScalar(value); | |
| 391 } | |
| 392 } | |
| 393 } | |
| 394 | |
| 395 if (useStorage) { | |
| 396 memcpy(fMat, storage, sizeof(storage)); | |
| 397 } | |
| 398 this->dirtyTypeMask(); | |
| 399 } | |
| 400 | |
| 401 /////////////////////////////////////////////////////////////////////////////// | |
| 402 | |
| 403 /** We always perform the calculation in doubles, to avoid prematurely losing | |
| 404 precision along the way. This relies on the compiler automatically | |
| 405 promoting our SkMScalar values to double (if needed). | |
| 406 */ | |
| 407 double SkMatrix44::determinant() const { | |
| 408 if (this->isIdentity()) { | |
| 409 return 1; | |
| 410 } | |
| 411 if (this->isScaleTranslate()) { | |
| 412 return fMat[0][0] * fMat[1][1] * fMat[2][2] * fMat[3][3]; | |
| 413 } | |
| 414 | |
| 415 double a00 = fMat[0][0]; | |
| 416 double a01 = fMat[0][1]; | |
| 417 double a02 = fMat[0][2]; | |
| 418 double a03 = fMat[0][3]; | |
| 419 double a10 = fMat[1][0]; | |
| 420 double a11 = fMat[1][1]; | |
| 421 double a12 = fMat[1][2]; | |
| 422 double a13 = fMat[1][3]; | |
| 423 double a20 = fMat[2][0]; | |
| 424 double a21 = fMat[2][1]; | |
| 425 double a22 = fMat[2][2]; | |
| 426 double a23 = fMat[2][3]; | |
| 427 double a30 = fMat[3][0]; | |
| 428 double a31 = fMat[3][1]; | |
| 429 double a32 = fMat[3][2]; | |
| 430 double a33 = fMat[3][3]; | |
| 431 | |
| 432 double b00 = a00 * a11 - a01 * a10; | |
| 433 double b01 = a00 * a12 - a02 * a10; | |
| 434 double b02 = a00 * a13 - a03 * a10; | |
| 435 double b03 = a01 * a12 - a02 * a11; | |
| 436 double b04 = a01 * a13 - a03 * a11; | |
| 437 double b05 = a02 * a13 - a03 * a12; | |
| 438 double b06 = a20 * a31 - a21 * a30; | |
| 439 double b07 = a20 * a32 - a22 * a30; | |
| 440 double b08 = a20 * a33 - a23 * a30; | |
| 441 double b09 = a21 * a32 - a22 * a31; | |
| 442 double b10 = a21 * a33 - a23 * a31; | |
| 443 double b11 = a22 * a33 - a23 * a32; | |
| 444 | |
| 445 // Calculate the determinant | |
| 446 return b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06
; | |
| 447 } | |
| 448 | |
| 449 /////////////////////////////////////////////////////////////////////////////// | |
| 450 | |
| 451 static bool is_matrix_finite(const SkMatrix44& matrix) { | |
| 452 SkMScalar accumulator = 0; | |
| 453 for (int row = 0; row < 4; ++row) { | |
| 454 for (int col = 0; col < 4; ++col) { | |
| 455 accumulator *= matrix.get(row, col); | |
| 456 } | |
| 457 } | |
| 458 return accumulator == 0; | |
| 459 } | |
| 460 | |
| 461 bool SkMatrix44::invert(SkMatrix44* storage) const { | |
| 462 if (this->isIdentity()) { | |
| 463 if (storage) { | |
| 464 storage->setIdentity(); | |
| 465 } | |
| 466 return true; | |
| 467 } | |
| 468 | |
| 469 if (this->isTranslate()) { | |
| 470 if (storage) { | |
| 471 storage->setTranslate(-fMat[3][0], -fMat[3][1], -fMat[3][2]); | |
| 472 } | |
| 473 return true; | |
| 474 } | |
| 475 | |
| 476 SkMatrix44 tmp(kUninitialized_Constructor); | |
| 477 // Use storage if it's available and distinct from this matrix. | |
| 478 SkMatrix44* inverse = (storage && storage != this) ? storage : &tmp; | |
| 479 if (this->isScaleTranslate()) { | |
| 480 if (0 == fMat[0][0] * fMat[1][1] * fMat[2][2]) { | |
| 481 return false; | |
| 482 } | |
| 483 | |
| 484 double invXScale = 1 / fMat[0][0]; | |
| 485 double invYScale = 1 / fMat[1][1]; | |
| 486 double invZScale = 1 / fMat[2][2]; | |
| 487 | |
| 488 inverse->fMat[0][0] = SkDoubleToMScalar(invXScale); | |
| 489 inverse->fMat[0][1] = 0; | |
| 490 inverse->fMat[0][2] = 0; | |
| 491 inverse->fMat[0][3] = 0; | |
| 492 | |
| 493 inverse->fMat[1][0] = 0; | |
| 494 inverse->fMat[1][1] = SkDoubleToMScalar(invYScale); | |
| 495 inverse->fMat[1][2] = 0; | |
| 496 inverse->fMat[1][3] = 0; | |
| 497 | |
| 498 inverse->fMat[2][0] = 0; | |
| 499 inverse->fMat[2][1] = 0; | |
| 500 inverse->fMat[2][2] = SkDoubleToMScalar(invZScale); | |
| 501 inverse->fMat[2][3] = 0; | |
| 502 | |
| 503 inverse->fMat[3][0] = SkDoubleToMScalar(-fMat[3][0] * invXScale); | |
| 504 inverse->fMat[3][1] = SkDoubleToMScalar(-fMat[3][1] * invYScale); | |
| 505 inverse->fMat[3][2] = SkDoubleToMScalar(-fMat[3][2] * invZScale); | |
| 506 inverse->fMat[3][3] = 1; | |
| 507 | |
| 508 inverse->setTypeMask(this->getType()); | |
| 509 | |
| 510 if (!is_matrix_finite(*inverse)) { | |
| 511 return false; | |
| 512 } | |
| 513 if (storage && inverse != storage) { | |
| 514 *storage = *inverse; | |
| 515 } | |
| 516 return true; | |
| 517 } | |
| 518 | |
| 519 double a00 = fMat[0][0]; | |
| 520 double a01 = fMat[0][1]; | |
| 521 double a02 = fMat[0][2]; | |
| 522 double a03 = fMat[0][3]; | |
| 523 double a10 = fMat[1][0]; | |
| 524 double a11 = fMat[1][1]; | |
| 525 double a12 = fMat[1][2]; | |
| 526 double a13 = fMat[1][3]; | |
| 527 double a20 = fMat[2][0]; | |
| 528 double a21 = fMat[2][1]; | |
| 529 double a22 = fMat[2][2]; | |
| 530 double a23 = fMat[2][3]; | |
| 531 double a30 = fMat[3][0]; | |
| 532 double a31 = fMat[3][1]; | |
| 533 double a32 = fMat[3][2]; | |
| 534 double a33 = fMat[3][3]; | |
| 535 | |
| 536 if (!(this->getType() & kPerspective_Mask)) { | |
| 537 // If we know the matrix has no perspective, then the perspective | |
| 538 // component is (0, 0, 0, 1). We can use this information to save a lot | |
| 539 // of arithmetic that would otherwise be spent to compute the inverse | |
| 540 // of a general matrix. | |
| 541 | |
| 542 SkASSERT(a03 == 0); | |
| 543 SkASSERT(a13 == 0); | |
| 544 SkASSERT(a23 == 0); | |
| 545 SkASSERT(a33 == 1); | |
| 546 | |
| 547 double b00 = a00 * a11 - a01 * a10; | |
| 548 double b01 = a00 * a12 - a02 * a10; | |
| 549 double b03 = a01 * a12 - a02 * a11; | |
| 550 double b06 = a20 * a31 - a21 * a30; | |
| 551 double b07 = a20 * a32 - a22 * a30; | |
| 552 double b08 = a20; | |
| 553 double b09 = a21 * a32 - a22 * a31; | |
| 554 double b10 = a21; | |
| 555 double b11 = a22; | |
| 556 | |
| 557 // Calculate the determinant | |
| 558 double det = b00 * b11 - b01 * b10 + b03 * b08; | |
| 559 | |
| 560 double invdet = 1.0 / det; | |
| 561 // If det is zero, we want to return false. However, we also want to ret
urn false | |
| 562 // if 1/det overflows to infinity (i.e. det is denormalized). Both of th
ese are | |
| 563 // handled by checking that 1/det is finite. | |
| 564 if (!sk_float_isfinite(invdet)) { | |
| 565 return false; | |
| 566 } | |
| 567 | |
| 568 b00 *= invdet; | |
| 569 b01 *= invdet; | |
| 570 b03 *= invdet; | |
| 571 b06 *= invdet; | |
| 572 b07 *= invdet; | |
| 573 b08 *= invdet; | |
| 574 b09 *= invdet; | |
| 575 b10 *= invdet; | |
| 576 b11 *= invdet; | |
| 577 | |
| 578 inverse->fMat[0][0] = SkDoubleToMScalar(a11 * b11 - a12 * b10); | |
| 579 inverse->fMat[0][1] = SkDoubleToMScalar(a02 * b10 - a01 * b11); | |
| 580 inverse->fMat[0][2] = SkDoubleToMScalar(b03); | |
| 581 inverse->fMat[0][3] = 0; | |
| 582 inverse->fMat[1][0] = SkDoubleToMScalar(a12 * b08 - a10 * b11); | |
| 583 inverse->fMat[1][1] = SkDoubleToMScalar(a00 * b11 - a02 * b08); | |
| 584 inverse->fMat[1][2] = SkDoubleToMScalar(-b01); | |
| 585 inverse->fMat[1][3] = 0; | |
| 586 inverse->fMat[2][0] = SkDoubleToMScalar(a10 * b10 - a11 * b08); | |
| 587 inverse->fMat[2][1] = SkDoubleToMScalar(a01 * b08 - a00 * b10); | |
| 588 inverse->fMat[2][2] = SkDoubleToMScalar(b00); | |
| 589 inverse->fMat[2][3] = 0; | |
| 590 inverse->fMat[3][0] = SkDoubleToMScalar(a11 * b07 - a10 * b09 - a12 * b0
6); | |
| 591 inverse->fMat[3][1] = SkDoubleToMScalar(a00 * b09 - a01 * b07 + a02 * b0
6); | |
| 592 inverse->fMat[3][2] = SkDoubleToMScalar(a31 * b01 - a30 * b03 - a32 * b0
0); | |
| 593 inverse->fMat[3][3] = 1; | |
| 594 | |
| 595 inverse->setTypeMask(this->getType()); | |
| 596 if (!is_matrix_finite(*inverse)) { | |
| 597 return false; | |
| 598 } | |
| 599 if (storage && inverse != storage) { | |
| 600 *storage = *inverse; | |
| 601 } | |
| 602 return true; | |
| 603 } | |
| 604 | |
| 605 double b00 = a00 * a11 - a01 * a10; | |
| 606 double b01 = a00 * a12 - a02 * a10; | |
| 607 double b02 = a00 * a13 - a03 * a10; | |
| 608 double b03 = a01 * a12 - a02 * a11; | |
| 609 double b04 = a01 * a13 - a03 * a11; | |
| 610 double b05 = a02 * a13 - a03 * a12; | |
| 611 double b06 = a20 * a31 - a21 * a30; | |
| 612 double b07 = a20 * a32 - a22 * a30; | |
| 613 double b08 = a20 * a33 - a23 * a30; | |
| 614 double b09 = a21 * a32 - a22 * a31; | |
| 615 double b10 = a21 * a33 - a23 * a31; | |
| 616 double b11 = a22 * a33 - a23 * a32; | |
| 617 | |
| 618 // Calculate the determinant | |
| 619 double det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05
* b06; | |
| 620 | |
| 621 double invdet = 1.0 / det; | |
| 622 // If det is zero, we want to return false. However, we also want to return
false | |
| 623 // if 1/det overflows to infinity (i.e. det is denormalized). Both of these
are | |
| 624 // handled by checking that 1/det is finite. | |
| 625 if (!sk_float_isfinite(invdet)) { | |
| 626 return false; | |
| 627 } | |
| 628 | |
| 629 b00 *= invdet; | |
| 630 b01 *= invdet; | |
| 631 b02 *= invdet; | |
| 632 b03 *= invdet; | |
| 633 b04 *= invdet; | |
| 634 b05 *= invdet; | |
| 635 b06 *= invdet; | |
| 636 b07 *= invdet; | |
| 637 b08 *= invdet; | |
| 638 b09 *= invdet; | |
| 639 b10 *= invdet; | |
| 640 b11 *= invdet; | |
| 641 | |
| 642 inverse->fMat[0][0] = SkDoubleToMScalar(a11 * b11 - a12 * b10 + a13 * b09); | |
| 643 inverse->fMat[0][1] = SkDoubleToMScalar(a02 * b10 - a01 * b11 - a03 * b09); | |
| 644 inverse->fMat[0][2] = SkDoubleToMScalar(a31 * b05 - a32 * b04 + a33 * b03); | |
| 645 inverse->fMat[0][3] = SkDoubleToMScalar(a22 * b04 - a21 * b05 - a23 * b03); | |
| 646 inverse->fMat[1][0] = SkDoubleToMScalar(a12 * b08 - a10 * b11 - a13 * b07); | |
| 647 inverse->fMat[1][1] = SkDoubleToMScalar(a00 * b11 - a02 * b08 + a03 * b07); | |
| 648 inverse->fMat[1][2] = SkDoubleToMScalar(a32 * b02 - a30 * b05 - a33 * b01); | |
| 649 inverse->fMat[1][3] = SkDoubleToMScalar(a20 * b05 - a22 * b02 + a23 * b01); | |
| 650 inverse->fMat[2][0] = SkDoubleToMScalar(a10 * b10 - a11 * b08 + a13 * b06); | |
| 651 inverse->fMat[2][1] = SkDoubleToMScalar(a01 * b08 - a00 * b10 - a03 * b06); | |
| 652 inverse->fMat[2][2] = SkDoubleToMScalar(a30 * b04 - a31 * b02 + a33 * b00); | |
| 653 inverse->fMat[2][3] = SkDoubleToMScalar(a21 * b02 - a20 * b04 - a23 * b00); | |
| 654 inverse->fMat[3][0] = SkDoubleToMScalar(a11 * b07 - a10 * b09 - a12 * b06); | |
| 655 inverse->fMat[3][1] = SkDoubleToMScalar(a00 * b09 - a01 * b07 + a02 * b06); | |
| 656 inverse->fMat[3][2] = SkDoubleToMScalar(a31 * b01 - a30 * b03 - a32 * b00); | |
| 657 inverse->fMat[3][3] = SkDoubleToMScalar(a20 * b03 - a21 * b01 + a22 * b00); | |
| 658 inverse->dirtyTypeMask(); | |
| 659 | |
| 660 inverse->setTypeMask(this->getType()); | |
| 661 if (!is_matrix_finite(*inverse)) { | |
| 662 return false; | |
| 663 } | |
| 664 if (storage && inverse != storage) { | |
| 665 *storage = *inverse; | |
| 666 } | |
| 667 return true; | |
| 668 } | |
| 669 | |
| 670 /////////////////////////////////////////////////////////////////////////////// | |
| 671 | |
| 672 void SkMatrix44::transpose() { | |
| 673 SkTSwap(fMat[0][1], fMat[1][0]); | |
| 674 SkTSwap(fMat[0][2], fMat[2][0]); | |
| 675 SkTSwap(fMat[0][3], fMat[3][0]); | |
| 676 SkTSwap(fMat[1][2], fMat[2][1]); | |
| 677 SkTSwap(fMat[1][3], fMat[3][1]); | |
| 678 SkTSwap(fMat[2][3], fMat[3][2]); | |
| 679 | |
| 680 if (!this->isTriviallyIdentity()) { | |
| 681 this->dirtyTypeMask(); | |
| 682 } | |
| 683 } | |
| 684 | |
| 685 /////////////////////////////////////////////////////////////////////////////// | |
| 686 | |
| 687 void SkMatrix44::mapScalars(const SkScalar src[4], SkScalar dst[4]) const { | |
| 688 SkScalar storage[4]; | |
| 689 SkScalar* result = (src == dst) ? storage : dst; | |
| 690 | |
| 691 for (int i = 0; i < 4; i++) { | |
| 692 SkMScalar value = 0; | |
| 693 for (int j = 0; j < 4; j++) { | |
| 694 value += fMat[j][i] * src[j]; | |
| 695 } | |
| 696 result[i] = SkMScalarToScalar(value); | |
| 697 } | |
| 698 | |
| 699 if (storage == result) { | |
| 700 memcpy(dst, storage, sizeof(storage)); | |
| 701 } | |
| 702 } | |
| 703 | |
| 704 #ifdef SK_MSCALAR_IS_DOUBLE | |
| 705 | |
| 706 void SkMatrix44::mapMScalars(const SkMScalar src[4], SkMScalar dst[4]) const { | |
| 707 SkMScalar storage[4]; | |
| 708 SkMScalar* result = (src == dst) ? storage : dst; | |
| 709 | |
| 710 for (int i = 0; i < 4; i++) { | |
| 711 SkMScalar value = 0; | |
| 712 for (int j = 0; j < 4; j++) { | |
| 713 value += fMat[j][i] * src[j]; | |
| 714 } | |
| 715 result[i] = value; | |
| 716 } | |
| 717 | |
| 718 if (storage == result) { | |
| 719 memcpy(dst, storage, sizeof(storage)); | |
| 720 } | |
| 721 } | |
| 722 | |
| 723 #endif | |
| 724 | |
| 725 typedef void (*Map2Procf)(const SkMScalar mat[][4], const float src2[], int coun
t, float dst4[]); | |
| 726 typedef void (*Map2Procd)(const SkMScalar mat[][4], const double src2[], int cou
nt, double dst4[]); | |
| 727 | |
| 728 static void map2_if(const SkMScalar mat[][4], const float* SK_RESTRICT src2, | |
| 729 int count, float* SK_RESTRICT dst4) { | |
| 730 for (int i = 0; i < count; ++i) { | |
| 731 dst4[0] = src2[0]; | |
| 732 dst4[1] = src2[1]; | |
| 733 dst4[2] = 0; | |
| 734 dst4[3] = 1; | |
| 735 src2 += 2; | |
| 736 dst4 += 4; | |
| 737 } | |
| 738 } | |
| 739 | |
| 740 static void map2_id(const SkMScalar mat[][4], const double* SK_RESTRICT src2, | |
| 741 int count, double* SK_RESTRICT dst4) { | |
| 742 for (int i = 0; i < count; ++i) { | |
| 743 dst4[0] = src2[0]; | |
| 744 dst4[1] = src2[1]; | |
| 745 dst4[2] = 0; | |
| 746 dst4[3] = 1; | |
| 747 src2 += 2; | |
| 748 dst4 += 4; | |
| 749 } | |
| 750 } | |
| 751 | |
| 752 static void map2_tf(const SkMScalar mat[][4], const float* SK_RESTRICT src2, | |
| 753 int count, float* SK_RESTRICT dst4) { | |
| 754 const float mat30 = SkMScalarToFloat(mat[3][0]); | |
| 755 const float mat31 = SkMScalarToFloat(mat[3][1]); | |
| 756 const float mat32 = SkMScalarToFloat(mat[3][2]); | |
| 757 for (int n = 0; n < count; ++n) { | |
| 758 dst4[0] = src2[0] + mat30; | |
| 759 dst4[1] = src2[1] + mat31; | |
| 760 dst4[2] = mat32; | |
| 761 dst4[3] = 1; | |
| 762 src2 += 2; | |
| 763 dst4 += 4; | |
| 764 } | |
| 765 } | |
| 766 | |
| 767 static void map2_td(const SkMScalar mat[][4], const double* SK_RESTRICT src2, | |
| 768 int count, double* SK_RESTRICT dst4) { | |
| 769 for (int n = 0; n < count; ++n) { | |
| 770 dst4[0] = src2[0] + mat[3][0]; | |
| 771 dst4[1] = src2[1] + mat[3][1]; | |
| 772 dst4[2] = mat[3][2]; | |
| 773 dst4[3] = 1; | |
| 774 src2 += 2; | |
| 775 dst4 += 4; | |
| 776 } | |
| 777 } | |
| 778 | |
| 779 static void map2_sf(const SkMScalar mat[][4], const float* SK_RESTRICT src2, | |
| 780 int count, float* SK_RESTRICT dst4) { | |
| 781 const float mat32 = SkMScalarToFloat(mat[3][2]); | |
| 782 for (int n = 0; n < count; ++n) { | |
| 783 dst4[0] = SkMScalarToFloat(mat[0][0] * src2[0] + mat[3][0]); | |
| 784 dst4[1] = SkMScalarToFloat(mat[1][1] * src2[1] + mat[3][1]); | |
| 785 dst4[2] = mat32; | |
| 786 dst4[3] = 1; | |
| 787 src2 += 2; | |
| 788 dst4 += 4; | |
| 789 } | |
| 790 } | |
| 791 | |
| 792 static void map2_sd(const SkMScalar mat[][4], const double* SK_RESTRICT src2, | |
| 793 int count, double* SK_RESTRICT dst4) { | |
| 794 for (int n = 0; n < count; ++n) { | |
| 795 dst4[0] = mat[0][0] * src2[0] + mat[3][0]; | |
| 796 dst4[1] = mat[1][1] * src2[1] + mat[3][1]; | |
| 797 dst4[2] = mat[3][2]; | |
| 798 dst4[3] = 1; | |
| 799 src2 += 2; | |
| 800 dst4 += 4; | |
| 801 } | |
| 802 } | |
| 803 | |
| 804 static void map2_af(const SkMScalar mat[][4], const float* SK_RESTRICT src2, | |
| 805 int count, float* SK_RESTRICT dst4) { | |
| 806 SkMScalar r; | |
| 807 for (int n = 0; n < count; ++n) { | |
| 808 SkMScalar sx = SkFloatToMScalar(src2[0]); | |
| 809 SkMScalar sy = SkFloatToMScalar(src2[1]); | |
| 810 r = mat[0][0] * sx + mat[1][0] * sy + mat[3][0]; | |
| 811 dst4[0] = SkMScalarToFloat(r); | |
| 812 r = mat[0][1] * sx + mat[1][1] * sy + mat[3][1]; | |
| 813 dst4[1] = SkMScalarToFloat(r); | |
| 814 r = mat[0][2] * sx + mat[1][2] * sy + mat[3][2]; | |
| 815 dst4[2] = SkMScalarToFloat(r); | |
| 816 dst4[3] = 1; | |
| 817 src2 += 2; | |
| 818 dst4 += 4; | |
| 819 } | |
| 820 } | |
| 821 | |
| 822 static void map2_ad(const SkMScalar mat[][4], const double* SK_RESTRICT src2, | |
| 823 int count, double* SK_RESTRICT dst4) { | |
| 824 for (int n = 0; n < count; ++n) { | |
| 825 double sx = src2[0]; | |
| 826 double sy = src2[1]; | |
| 827 dst4[0] = mat[0][0] * sx + mat[1][0] * sy + mat[3][0]; | |
| 828 dst4[1] = mat[0][1] * sx + mat[1][1] * sy + mat[3][1]; | |
| 829 dst4[2] = mat[0][2] * sx + mat[1][2] * sy + mat[3][2]; | |
| 830 dst4[3] = 1; | |
| 831 src2 += 2; | |
| 832 dst4 += 4; | |
| 833 } | |
| 834 } | |
| 835 | |
| 836 static void map2_pf(const SkMScalar mat[][4], const float* SK_RESTRICT src2, | |
| 837 int count, float* SK_RESTRICT dst4) { | |
| 838 SkMScalar r; | |
| 839 for (int n = 0; n < count; ++n) { | |
| 840 SkMScalar sx = SkFloatToMScalar(src2[0]); | |
| 841 SkMScalar sy = SkFloatToMScalar(src2[1]); | |
| 842 for (int i = 0; i < 4; i++) { | |
| 843 r = mat[0][i] * sx + mat[1][i] * sy + mat[3][i]; | |
| 844 dst4[i] = SkMScalarToFloat(r); | |
| 845 } | |
| 846 src2 += 2; | |
| 847 dst4 += 4; | |
| 848 } | |
| 849 } | |
| 850 | |
| 851 static void map2_pd(const SkMScalar mat[][4], const double* SK_RESTRICT src2, | |
| 852 int count, double* SK_RESTRICT dst4) { | |
| 853 for (int n = 0; n < count; ++n) { | |
| 854 double sx = src2[0]; | |
| 855 double sy = src2[1]; | |
| 856 for (int i = 0; i < 4; i++) { | |
| 857 dst4[i] = mat[0][i] * sx + mat[1][i] * sy + mat[3][i]; | |
| 858 } | |
| 859 src2 += 2; | |
| 860 dst4 += 4; | |
| 861 } | |
| 862 } | |
| 863 | |
| 864 void SkMatrix44::map2(const float src2[], int count, float dst4[]) const { | |
| 865 static const Map2Procf gProc[] = { | |
| 866 map2_if, map2_tf, map2_sf, map2_sf, map2_af, map2_af, map2_af, map2_af | |
| 867 }; | |
| 868 | |
| 869 TypeMask mask = this->getType(); | |
| 870 Map2Procf proc = (mask & kPerspective_Mask) ? map2_pf : gProc[mask]; | |
| 871 proc(fMat, src2, count, dst4); | |
| 872 } | |
| 873 | |
| 874 void SkMatrix44::map2(const double src2[], int count, double dst4[]) const { | |
| 875 static const Map2Procd gProc[] = { | |
| 876 map2_id, map2_td, map2_sd, map2_sd, map2_ad, map2_ad, map2_ad, map2_ad | |
| 877 }; | |
| 878 | |
| 879 TypeMask mask = this->getType(); | |
| 880 Map2Procd proc = (mask & kPerspective_Mask) ? map2_pd : gProc[mask]; | |
| 881 proc(fMat, src2, count, dst4); | |
| 882 } | |
| 883 | |
| 884 bool SkMatrix44::preserves2dAxisAlignment (SkMScalar epsilon) const { | |
| 885 | |
| 886 // Can't check (mask & kPerspective_Mask) because Z isn't relevant here. | |
| 887 if (0 != perspX() || 0 != perspY()) return false; | |
| 888 | |
| 889 // A matrix with two non-zeroish values in any of the upper right | |
| 890 // rows or columns will skew. If only one value in each row or | |
| 891 // column is non-zeroish, we get a scale plus perhaps a 90-degree | |
| 892 // rotation. | |
| 893 int col0 = 0; | |
| 894 int col1 = 0; | |
| 895 int row0 = 0; | |
| 896 int row1 = 0; | |
| 897 | |
| 898 // Must test against epsilon, not 0, because we can get values | |
| 899 // around 6e-17 in the matrix that "should" be 0. | |
| 900 | |
| 901 if (SkMScalarAbs(fMat[0][0]) > epsilon) { | |
| 902 col0++; | |
| 903 row0++; | |
| 904 } | |
| 905 if (SkMScalarAbs(fMat[0][1]) > epsilon) { | |
| 906 col1++; | |
| 907 row0++; | |
| 908 } | |
| 909 if (SkMScalarAbs(fMat[1][0]) > epsilon) { | |
| 910 col0++; | |
| 911 row1++; | |
| 912 } | |
| 913 if (SkMScalarAbs(fMat[1][1]) > epsilon) { | |
| 914 col1++; | |
| 915 row1++; | |
| 916 } | |
| 917 if (col0 > 1 || col1 > 1 || row0 > 1 || row1 > 1) { | |
| 918 return false; | |
| 919 } | |
| 920 | |
| 921 return true; | |
| 922 } | |
| 923 | |
| 924 /////////////////////////////////////////////////////////////////////////////// | |
| 925 | |
| 926 void SkMatrix44::dump() const { | |
| 927 static const char* format = | |
| 928 "[%g %g %g %g][%g %g %g %g][%g %g %g %g][%g %g %g %g]\n"; | |
| 929 #if 0 | |
| 930 SkDebugf(format, | |
| 931 fMat[0][0], fMat[1][0], fMat[2][0], fMat[3][0], | |
| 932 fMat[0][1], fMat[1][1], fMat[2][1], fMat[3][1], | |
| 933 fMat[0][2], fMat[1][2], fMat[2][2], fMat[3][2], | |
| 934 fMat[0][3], fMat[1][3], fMat[2][3], fMat[3][3]); | |
| 935 #else | |
| 936 SkDebugf(format, | |
| 937 fMat[0][0], fMat[0][1], fMat[0][2], fMat[0][3], | |
| 938 fMat[1][0], fMat[1][1], fMat[1][2], fMat[1][3], | |
| 939 fMat[2][0], fMat[2][1], fMat[2][2], fMat[2][3], | |
| 940 fMat[3][0], fMat[3][1], fMat[3][2], fMat[3][3]); | |
| 941 #endif | |
| 942 } | |
| 943 | |
| 944 /////////////////////////////////////////////////////////////////////////////// | |
| 945 | |
| 946 static void initFromMatrix(SkMScalar dst[4][4], const SkMatrix& src) { | |
| 947 dst[0][0] = SkScalarToMScalar(src[SkMatrix::kMScaleX]); | |
| 948 dst[1][0] = SkScalarToMScalar(src[SkMatrix::kMSkewX]); | |
| 949 dst[2][0] = 0; | |
| 950 dst[3][0] = SkScalarToMScalar(src[SkMatrix::kMTransX]); | |
| 951 dst[0][1] = SkScalarToMScalar(src[SkMatrix::kMSkewY]); | |
| 952 dst[1][1] = SkScalarToMScalar(src[SkMatrix::kMScaleY]); | |
| 953 dst[2][1] = 0; | |
| 954 dst[3][1] = SkScalarToMScalar(src[SkMatrix::kMTransY]); | |
| 955 dst[0][2] = 0; | |
| 956 dst[1][2] = 0; | |
| 957 dst[2][2] = 1; | |
| 958 dst[3][2] = 0; | |
| 959 dst[0][3] = SkScalarToMScalar(src[SkMatrix::kMPersp0]); | |
| 960 dst[1][3] = SkScalarToMScalar(src[SkMatrix::kMPersp1]); | |
| 961 dst[2][3] = 0; | |
| 962 dst[3][3] = SkScalarToMScalar(src[SkMatrix::kMPersp2]); | |
| 963 } | |
| 964 | |
| 965 SkMatrix44::SkMatrix44(const SkMatrix& src) { | |
| 966 this->operator=(src); | |
| 967 } | |
| 968 | |
| 969 SkMatrix44& SkMatrix44::operator=(const SkMatrix& src) { | |
| 970 initFromMatrix(fMat, src); | |
| 971 | |
| 972 if (src.isIdentity()) { | |
| 973 this->setTypeMask(kIdentity_Mask); | |
| 974 } else { | |
| 975 this->dirtyTypeMask(); | |
| 976 } | |
| 977 return *this; | |
| 978 } | |
| 979 | |
| 980 SkMatrix44::operator SkMatrix() const { | |
| 981 SkMatrix dst; | |
| 982 | |
| 983 dst[SkMatrix::kMScaleX] = SkMScalarToScalar(fMat[0][0]); | |
| 984 dst[SkMatrix::kMSkewX] = SkMScalarToScalar(fMat[1][0]); | |
| 985 dst[SkMatrix::kMTransX] = SkMScalarToScalar(fMat[3][0]); | |
| 986 | |
| 987 dst[SkMatrix::kMSkewY] = SkMScalarToScalar(fMat[0][1]); | |
| 988 dst[SkMatrix::kMScaleY] = SkMScalarToScalar(fMat[1][1]); | |
| 989 dst[SkMatrix::kMTransY] = SkMScalarToScalar(fMat[3][1]); | |
| 990 | |
| 991 dst[SkMatrix::kMPersp0] = SkMScalarToScalar(fMat[0][3]); | |
| 992 dst[SkMatrix::kMPersp1] = SkMScalarToScalar(fMat[1][3]); | |
| 993 dst[SkMatrix::kMPersp2] = SkMScalarToScalar(fMat[3][3]); | |
| 994 | |
| 995 return dst; | |
| 996 } | |
| OLD | NEW |