gfx/skia/trunk/src/utils/SkMatrix44.cpp

Sat, 03 Jan 2015 20:18:00 +0100

author
Michael Schloh von Bennewitz <michael@schloh.com>
date
Sat, 03 Jan 2015 20:18:00 +0100
branch
TOR_BUG_3246
changeset 7
129ffea94266
permissions
-rw-r--r--

Conditionally enable double key logic according to:
private browsing mode or privacy.thirdparty.isolate preference and
implement in GetCookieStringCommon and FindCookie where it counts...
With some reservations of how to convince FindCookie users to test
condition and pass a nullptr when disabling double key logic.

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

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