1.1 --- /dev/null Thu Jan 01 00:00:00 1970 +0000
1.2 +++ b/gfx/skia/trunk/src/utils/SkMatrix44.cpp Wed Dec 31 06:09:35 2014 +0100
1.3 @@ -0,0 +1,932 @@
1.4 +/*
1.5 + * Copyright 2011 Google Inc.
1.6 + *
1.7 + * Use of this source code is governed by a BSD-style license that can be
1.8 + * found in the LICENSE file.
1.9 + */
1.10 +
1.11 +#include "SkMatrix44.h"
1.12 +
1.13 +static inline bool eq4(const SkMScalar* SK_RESTRICT a,
1.14 + const SkMScalar* SK_RESTRICT b) {
1.15 + return (a[0] == b[0]) & (a[1] == b[1]) & (a[2] == b[2]) & (a[3] == b[3]);
1.16 +}
1.17 +
1.18 +bool SkMatrix44::operator==(const SkMatrix44& other) const {
1.19 + if (this == &other) {
1.20 + return true;
1.21 + }
1.22 +
1.23 + if (this->isTriviallyIdentity() && other.isTriviallyIdentity()) {
1.24 + return true;
1.25 + }
1.26 +
1.27 + const SkMScalar* SK_RESTRICT a = &fMat[0][0];
1.28 + const SkMScalar* SK_RESTRICT b = &other.fMat[0][0];
1.29 +
1.30 +#if 0
1.31 + for (int i = 0; i < 16; ++i) {
1.32 + if (a[i] != b[i]) {
1.33 + return false;
1.34 + }
1.35 + }
1.36 + return true;
1.37 +#else
1.38 + // to reduce branch instructions, we compare 4 at a time.
1.39 + // see bench/Matrix44Bench.cpp for test.
1.40 + if (!eq4(&a[0], &b[0])) {
1.41 + return false;
1.42 + }
1.43 + if (!eq4(&a[4], &b[4])) {
1.44 + return false;
1.45 + }
1.46 + if (!eq4(&a[8], &b[8])) {
1.47 + return false;
1.48 + }
1.49 + return eq4(&a[12], &b[12]);
1.50 +#endif
1.51 +}
1.52 +
1.53 +///////////////////////////////////////////////////////////////////////////////
1.54 +
1.55 +int SkMatrix44::computeTypeMask() const {
1.56 + unsigned mask = 0;
1.57 +
1.58 + if (0 != perspX() || 0 != perspY() || 0 != perspZ() || 1 != fMat[3][3]) {
1.59 + return kTranslate_Mask | kScale_Mask | kAffine_Mask | kPerspective_Mask;
1.60 + }
1.61 +
1.62 + if (0 != transX() || 0 != transY() || 0 != transZ()) {
1.63 + mask |= kTranslate_Mask;
1.64 + }
1.65 +
1.66 + if (1 != scaleX() || 1 != scaleY() || 1 != scaleZ()) {
1.67 + mask |= kScale_Mask;
1.68 + }
1.69 +
1.70 + if (0 != fMat[1][0] || 0 != fMat[0][1] || 0 != fMat[0][2] ||
1.71 + 0 != fMat[2][0] || 0 != fMat[1][2] || 0 != fMat[2][1]) {
1.72 + mask |= kAffine_Mask;
1.73 + }
1.74 +
1.75 + return mask;
1.76 +}
1.77 +
1.78 +///////////////////////////////////////////////////////////////////////////////
1.79 +
1.80 +void SkMatrix44::asColMajorf(float dst[]) const {
1.81 + const SkMScalar* src = &fMat[0][0];
1.82 +#ifdef SK_MSCALAR_IS_DOUBLE
1.83 + for (int i = 0; i < 16; ++i) {
1.84 + dst[i] = SkMScalarToFloat(src[i]);
1.85 + }
1.86 +#elif defined SK_MSCALAR_IS_FLOAT
1.87 + memcpy(dst, src, 16 * sizeof(float));
1.88 +#endif
1.89 +}
1.90 +
1.91 +void SkMatrix44::asColMajord(double dst[]) const {
1.92 + const SkMScalar* src = &fMat[0][0];
1.93 +#ifdef SK_MSCALAR_IS_DOUBLE
1.94 + memcpy(dst, src, 16 * sizeof(double));
1.95 +#elif defined SK_MSCALAR_IS_FLOAT
1.96 + for (int i = 0; i < 16; ++i) {
1.97 + dst[i] = SkMScalarToDouble(src[i]);
1.98 + }
1.99 +#endif
1.100 +}
1.101 +
1.102 +void SkMatrix44::asRowMajorf(float dst[]) const {
1.103 + const SkMScalar* src = &fMat[0][0];
1.104 + for (int i = 0; i < 4; ++i) {
1.105 + dst[0] = SkMScalarToFloat(src[0]);
1.106 + dst[4] = SkMScalarToFloat(src[1]);
1.107 + dst[8] = SkMScalarToFloat(src[2]);
1.108 + dst[12] = SkMScalarToFloat(src[3]);
1.109 + src += 4;
1.110 + dst += 1;
1.111 + }
1.112 +}
1.113 +
1.114 +void SkMatrix44::asRowMajord(double dst[]) const {
1.115 + const SkMScalar* src = &fMat[0][0];
1.116 + for (int i = 0; i < 4; ++i) {
1.117 + dst[0] = SkMScalarToDouble(src[0]);
1.118 + dst[4] = SkMScalarToDouble(src[1]);
1.119 + dst[8] = SkMScalarToDouble(src[2]);
1.120 + dst[12] = SkMScalarToDouble(src[3]);
1.121 + src += 4;
1.122 + dst += 1;
1.123 + }
1.124 +}
1.125 +
1.126 +void SkMatrix44::setColMajorf(const float src[]) {
1.127 + SkMScalar* dst = &fMat[0][0];
1.128 +#ifdef SK_MSCALAR_IS_DOUBLE
1.129 + for (int i = 0; i < 16; ++i) {
1.130 + dst[i] = SkMScalarToFloat(src[i]);
1.131 + }
1.132 +#elif defined SK_MSCALAR_IS_FLOAT
1.133 + memcpy(dst, src, 16 * sizeof(float));
1.134 +#endif
1.135 +
1.136 + this->dirtyTypeMask();
1.137 +}
1.138 +
1.139 +void SkMatrix44::setColMajord(const double src[]) {
1.140 + SkMScalar* dst = &fMat[0][0];
1.141 +#ifdef SK_MSCALAR_IS_DOUBLE
1.142 + memcpy(dst, src, 16 * sizeof(double));
1.143 +#elif defined SK_MSCALAR_IS_FLOAT
1.144 + for (int i = 0; i < 16; ++i) {
1.145 + dst[i] = SkDoubleToMScalar(src[i]);
1.146 + }
1.147 +#endif
1.148 +
1.149 + this->dirtyTypeMask();
1.150 +}
1.151 +
1.152 +void SkMatrix44::setRowMajorf(const float src[]) {
1.153 + SkMScalar* dst = &fMat[0][0];
1.154 + for (int i = 0; i < 4; ++i) {
1.155 + dst[0] = SkMScalarToFloat(src[0]);
1.156 + dst[4] = SkMScalarToFloat(src[1]);
1.157 + dst[8] = SkMScalarToFloat(src[2]);
1.158 + dst[12] = SkMScalarToFloat(src[3]);
1.159 + src += 4;
1.160 + dst += 1;
1.161 + }
1.162 + this->dirtyTypeMask();
1.163 +}
1.164 +
1.165 +void SkMatrix44::setRowMajord(const double src[]) {
1.166 + SkMScalar* dst = &fMat[0][0];
1.167 + for (int i = 0; i < 4; ++i) {
1.168 + dst[0] = SkDoubleToMScalar(src[0]);
1.169 + dst[4] = SkDoubleToMScalar(src[1]);
1.170 + dst[8] = SkDoubleToMScalar(src[2]);
1.171 + dst[12] = SkDoubleToMScalar(src[3]);
1.172 + src += 4;
1.173 + dst += 1;
1.174 + }
1.175 + this->dirtyTypeMask();
1.176 +}
1.177 +
1.178 +///////////////////////////////////////////////////////////////////////////////
1.179 +
1.180 +const SkMatrix44& SkMatrix44::I() {
1.181 + static const SkMatrix44 gIdentity44(kIdentity_Constructor);
1.182 + return gIdentity44;
1.183 +}
1.184 +
1.185 +void SkMatrix44::setIdentity() {
1.186 + fMat[0][0] = 1;
1.187 + fMat[0][1] = 0;
1.188 + fMat[0][2] = 0;
1.189 + fMat[0][3] = 0;
1.190 + fMat[1][0] = 0;
1.191 + fMat[1][1] = 1;
1.192 + fMat[1][2] = 0;
1.193 + fMat[1][3] = 0;
1.194 + fMat[2][0] = 0;
1.195 + fMat[2][1] = 0;
1.196 + fMat[2][2] = 1;
1.197 + fMat[2][3] = 0;
1.198 + fMat[3][0] = 0;
1.199 + fMat[3][1] = 0;
1.200 + fMat[3][2] = 0;
1.201 + fMat[3][3] = 1;
1.202 + this->setTypeMask(kIdentity_Mask);
1.203 +}
1.204 +
1.205 +void SkMatrix44::set3x3(SkMScalar m00, SkMScalar m01, SkMScalar m02,
1.206 + SkMScalar m10, SkMScalar m11, SkMScalar m12,
1.207 + SkMScalar m20, SkMScalar m21, SkMScalar m22) {
1.208 + fMat[0][0] = m00; fMat[0][1] = m01; fMat[0][2] = m02; fMat[0][3] = 0;
1.209 + fMat[1][0] = m10; fMat[1][1] = m11; fMat[1][2] = m12; fMat[1][3] = 0;
1.210 + fMat[2][0] = m20; fMat[2][1] = m21; fMat[2][2] = m22; fMat[2][3] = 0;
1.211 + fMat[3][0] = 0; fMat[3][1] = 0; fMat[3][2] = 0; fMat[3][3] = 1;
1.212 + this->dirtyTypeMask();
1.213 +}
1.214 +
1.215 +///////////////////////////////////////////////////////////////////////////////
1.216 +
1.217 +void SkMatrix44::setTranslate(SkMScalar dx, SkMScalar dy, SkMScalar dz) {
1.218 + this->setIdentity();
1.219 +
1.220 + if (!dx && !dy && !dz) {
1.221 + return;
1.222 + }
1.223 +
1.224 + fMat[3][0] = dx;
1.225 + fMat[3][1] = dy;
1.226 + fMat[3][2] = dz;
1.227 + this->setTypeMask(kTranslate_Mask);
1.228 +}
1.229 +
1.230 +void SkMatrix44::preTranslate(SkMScalar dx, SkMScalar dy, SkMScalar dz) {
1.231 + if (!dx && !dy && !dz) {
1.232 + return;
1.233 + }
1.234 +
1.235 + for (int i = 0; i < 4; ++i) {
1.236 + fMat[3][i] = fMat[0][i] * dx + fMat[1][i] * dy + fMat[2][i] * dz + fMat[3][i];
1.237 + }
1.238 + this->dirtyTypeMask();
1.239 +}
1.240 +
1.241 +void SkMatrix44::postTranslate(SkMScalar dx, SkMScalar dy, SkMScalar dz) {
1.242 + if (!dx && !dy && !dz) {
1.243 + return;
1.244 + }
1.245 +
1.246 + if (this->getType() & kPerspective_Mask) {
1.247 + for (int i = 0; i < 4; ++i) {
1.248 + fMat[i][0] += fMat[i][3] * dx;
1.249 + fMat[i][1] += fMat[i][3] * dy;
1.250 + fMat[i][2] += fMat[i][3] * dz;
1.251 + }
1.252 + } else {
1.253 + fMat[3][0] += dx;
1.254 + fMat[3][1] += dy;
1.255 + fMat[3][2] += dz;
1.256 + this->dirtyTypeMask();
1.257 + }
1.258 +}
1.259 +
1.260 +///////////////////////////////////////////////////////////////////////////////
1.261 +
1.262 +void SkMatrix44::setScale(SkMScalar sx, SkMScalar sy, SkMScalar sz) {
1.263 + this->setIdentity();
1.264 +
1.265 + if (1 == sx && 1 == sy && 1 == sz) {
1.266 + return;
1.267 + }
1.268 +
1.269 + fMat[0][0] = sx;
1.270 + fMat[1][1] = sy;
1.271 + fMat[2][2] = sz;
1.272 + this->setTypeMask(kScale_Mask);
1.273 +}
1.274 +
1.275 +void SkMatrix44::preScale(SkMScalar sx, SkMScalar sy, SkMScalar sz) {
1.276 + if (1 == sx && 1 == sy && 1 == sz) {
1.277 + return;
1.278 + }
1.279 +
1.280 + // The implementation matrix * pureScale can be shortcut
1.281 + // by knowing that pureScale components effectively scale
1.282 + // the columns of the original matrix.
1.283 + for (int i = 0; i < 4; i++) {
1.284 + fMat[0][i] *= sx;
1.285 + fMat[1][i] *= sy;
1.286 + fMat[2][i] *= sz;
1.287 + }
1.288 + this->dirtyTypeMask();
1.289 +}
1.290 +
1.291 +void SkMatrix44::postScale(SkMScalar sx, SkMScalar sy, SkMScalar sz) {
1.292 + if (1 == sx && 1 == sy && 1 == sz) {
1.293 + return;
1.294 + }
1.295 +
1.296 + for (int i = 0; i < 4; i++) {
1.297 + fMat[i][0] *= sx;
1.298 + fMat[i][1] *= sy;
1.299 + fMat[i][2] *= sz;
1.300 + }
1.301 + this->dirtyTypeMask();
1.302 +}
1.303 +
1.304 +///////////////////////////////////////////////////////////////////////////////
1.305 +
1.306 +void SkMatrix44::setRotateAbout(SkMScalar x, SkMScalar y, SkMScalar z,
1.307 + SkMScalar radians) {
1.308 + double len2 = (double)x * x + (double)y * y + (double)z * z;
1.309 + if (1 != len2) {
1.310 + if (0 == len2) {
1.311 + this->setIdentity();
1.312 + return;
1.313 + }
1.314 + double scale = 1 / sqrt(len2);
1.315 + x = SkDoubleToMScalar(x * scale);
1.316 + y = SkDoubleToMScalar(y * scale);
1.317 + z = SkDoubleToMScalar(z * scale);
1.318 + }
1.319 + this->setRotateAboutUnit(x, y, z, radians);
1.320 +}
1.321 +
1.322 +void SkMatrix44::setRotateAboutUnit(SkMScalar x, SkMScalar y, SkMScalar z,
1.323 + SkMScalar radians) {
1.324 + double c = cos(radians);
1.325 + double s = sin(radians);
1.326 + double C = 1 - c;
1.327 + double xs = x * s;
1.328 + double ys = y * s;
1.329 + double zs = z * s;
1.330 + double xC = x * C;
1.331 + double yC = y * C;
1.332 + double zC = z * C;
1.333 + double xyC = x * yC;
1.334 + double yzC = y * zC;
1.335 + double zxC = z * xC;
1.336 +
1.337 + // if you're looking at wikipedia, remember that we're column major.
1.338 + this->set3x3(SkDoubleToMScalar(x * xC + c), // scale x
1.339 + SkDoubleToMScalar(xyC + zs), // skew x
1.340 + SkDoubleToMScalar(zxC - ys), // trans x
1.341 +
1.342 + SkDoubleToMScalar(xyC - zs), // skew y
1.343 + SkDoubleToMScalar(y * yC + c), // scale y
1.344 + SkDoubleToMScalar(yzC + xs), // trans y
1.345 +
1.346 + SkDoubleToMScalar(zxC + ys), // persp x
1.347 + SkDoubleToMScalar(yzC - xs), // persp y
1.348 + SkDoubleToMScalar(z * zC + c)); // persp 2
1.349 +}
1.350 +
1.351 +///////////////////////////////////////////////////////////////////////////////
1.352 +
1.353 +static bool bits_isonly(int value, int mask) {
1.354 + return 0 == (value & ~mask);
1.355 +}
1.356 +
1.357 +void SkMatrix44::setConcat(const SkMatrix44& a, const SkMatrix44& b) {
1.358 + const SkMatrix44::TypeMask a_mask = a.getType();
1.359 + const SkMatrix44::TypeMask b_mask = b.getType();
1.360 +
1.361 + if (kIdentity_Mask == a_mask) {
1.362 + *this = b;
1.363 + return;
1.364 + }
1.365 + if (kIdentity_Mask == b_mask) {
1.366 + *this = a;
1.367 + return;
1.368 + }
1.369 +
1.370 + bool useStorage = (this == &a || this == &b);
1.371 + SkMScalar storage[16];
1.372 + SkMScalar* result = useStorage ? storage : &fMat[0][0];
1.373 +
1.374 + // Both matrices are at most scale+translate
1.375 + if (bits_isonly(a_mask | b_mask, kScale_Mask | kTranslate_Mask)) {
1.376 + result[0] = a.fMat[0][0] * b.fMat[0][0];
1.377 + result[1] = result[2] = result[3] = result[4] = 0;
1.378 + result[5] = a.fMat[1][1] * b.fMat[1][1];
1.379 + result[6] = result[7] = result[8] = result[9] = 0;
1.380 + result[10] = a.fMat[2][2] * b.fMat[2][2];
1.381 + result[11] = 0;
1.382 + result[12] = a.fMat[0][0] * b.fMat[3][0] + a.fMat[3][0];
1.383 + result[13] = a.fMat[1][1] * b.fMat[3][1] + a.fMat[3][1];
1.384 + result[14] = a.fMat[2][2] * b.fMat[3][2] + a.fMat[3][2];
1.385 + result[15] = 1;
1.386 + } else {
1.387 + for (int j = 0; j < 4; j++) {
1.388 + for (int i = 0; i < 4; i++) {
1.389 + double value = 0;
1.390 + for (int k = 0; k < 4; k++) {
1.391 + value += SkMScalarToDouble(a.fMat[k][i]) * b.fMat[j][k];
1.392 + }
1.393 + *result++ = SkDoubleToMScalar(value);
1.394 + }
1.395 + }
1.396 + }
1.397 +
1.398 + if (useStorage) {
1.399 + memcpy(fMat, storage, sizeof(storage));
1.400 + }
1.401 + this->dirtyTypeMask();
1.402 +}
1.403 +
1.404 +///////////////////////////////////////////////////////////////////////////////
1.405 +
1.406 +/** We always perform the calculation in doubles, to avoid prematurely losing
1.407 + precision along the way. This relies on the compiler automatically
1.408 + promoting our SkMScalar values to double (if needed).
1.409 + */
1.410 +double SkMatrix44::determinant() const {
1.411 + if (this->isIdentity()) {
1.412 + return 1;
1.413 + }
1.414 + if (this->isScaleTranslate()) {
1.415 + return fMat[0][0] * fMat[1][1] * fMat[2][2] * fMat[3][3];
1.416 + }
1.417 +
1.418 + double a00 = fMat[0][0];
1.419 + double a01 = fMat[0][1];
1.420 + double a02 = fMat[0][2];
1.421 + double a03 = fMat[0][3];
1.422 + double a10 = fMat[1][0];
1.423 + double a11 = fMat[1][1];
1.424 + double a12 = fMat[1][2];
1.425 + double a13 = fMat[1][3];
1.426 + double a20 = fMat[2][0];
1.427 + double a21 = fMat[2][1];
1.428 + double a22 = fMat[2][2];
1.429 + double a23 = fMat[2][3];
1.430 + double a30 = fMat[3][0];
1.431 + double a31 = fMat[3][1];
1.432 + double a32 = fMat[3][2];
1.433 + double a33 = fMat[3][3];
1.434 +
1.435 + double b00 = a00 * a11 - a01 * a10;
1.436 + double b01 = a00 * a12 - a02 * a10;
1.437 + double b02 = a00 * a13 - a03 * a10;
1.438 + double b03 = a01 * a12 - a02 * a11;
1.439 + double b04 = a01 * a13 - a03 * a11;
1.440 + double b05 = a02 * a13 - a03 * a12;
1.441 + double b06 = a20 * a31 - a21 * a30;
1.442 + double b07 = a20 * a32 - a22 * a30;
1.443 + double b08 = a20 * a33 - a23 * a30;
1.444 + double b09 = a21 * a32 - a22 * a31;
1.445 + double b10 = a21 * a33 - a23 * a31;
1.446 + double b11 = a22 * a33 - a23 * a32;
1.447 +
1.448 + // Calculate the determinant
1.449 + return b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
1.450 +}
1.451 +
1.452 +///////////////////////////////////////////////////////////////////////////////
1.453 +
1.454 +bool SkMatrix44::invert(SkMatrix44* inverse) const {
1.455 + if (this->isIdentity()) {
1.456 + if (inverse) {
1.457 + inverse->setIdentity();
1.458 + }
1.459 + return true;
1.460 + }
1.461 +
1.462 + if (this->isTranslate()) {
1.463 + if (inverse) {
1.464 + inverse->setTranslate(-fMat[3][0], -fMat[3][1], -fMat[3][2]);
1.465 + }
1.466 + return true;
1.467 + }
1.468 +
1.469 + if (this->isScaleTranslate()) {
1.470 + if (0 == fMat[0][0] * fMat[1][1] * fMat[2][2]) {
1.471 + return false;
1.472 + }
1.473 +
1.474 + if (inverse) {
1.475 + double invXScale = 1 / fMat[0][0];
1.476 + double invYScale = 1 / fMat[1][1];
1.477 + double invZScale = 1 / fMat[2][2];
1.478 +
1.479 + inverse->fMat[0][0] = invXScale;
1.480 + inverse->fMat[0][1] = 0;
1.481 + inverse->fMat[0][2] = 0;
1.482 + inverse->fMat[0][3] = 0;
1.483 +
1.484 + inverse->fMat[1][0] = 0;
1.485 + inverse->fMat[1][1] = invYScale;
1.486 + inverse->fMat[1][2] = 0;
1.487 + inverse->fMat[1][3] = 0;
1.488 +
1.489 + inverse->fMat[2][0] = 0;
1.490 + inverse->fMat[2][1] = 0;
1.491 + inverse->fMat[2][2] = invZScale;
1.492 + inverse->fMat[2][3] = 0;
1.493 +
1.494 + inverse->fMat[3][0] = -fMat[3][0] * invXScale;
1.495 + inverse->fMat[3][1] = -fMat[3][1] * invYScale;
1.496 + inverse->fMat[3][2] = -fMat[3][2] * invZScale;
1.497 + inverse->fMat[3][3] = 1;
1.498 +
1.499 + inverse->setTypeMask(this->getType());
1.500 + }
1.501 +
1.502 + return true;
1.503 + }
1.504 +
1.505 + double a00 = fMat[0][0];
1.506 + double a01 = fMat[0][1];
1.507 + double a02 = fMat[0][2];
1.508 + double a03 = fMat[0][3];
1.509 + double a10 = fMat[1][0];
1.510 + double a11 = fMat[1][1];
1.511 + double a12 = fMat[1][2];
1.512 + double a13 = fMat[1][3];
1.513 + double a20 = fMat[2][0];
1.514 + double a21 = fMat[2][1];
1.515 + double a22 = fMat[2][2];
1.516 + double a23 = fMat[2][3];
1.517 + double a30 = fMat[3][0];
1.518 + double a31 = fMat[3][1];
1.519 + double a32 = fMat[3][2];
1.520 + double a33 = fMat[3][3];
1.521 +
1.522 + if (!(this->getType() & kPerspective_Mask)) {
1.523 + // If we know the matrix has no perspective, then the perspective
1.524 + // component is (0, 0, 0, 1). We can use this information to save a lot
1.525 + // of arithmetic that would otherwise be spent to compute the inverse
1.526 + // of a general matrix.
1.527 +
1.528 + SkASSERT(a03 == 0);
1.529 + SkASSERT(a13 == 0);
1.530 + SkASSERT(a23 == 0);
1.531 + SkASSERT(a33 == 1);
1.532 +
1.533 + double b00 = a00 * a11 - a01 * a10;
1.534 + double b01 = a00 * a12 - a02 * a10;
1.535 + double b03 = a01 * a12 - a02 * a11;
1.536 + double b06 = a20 * a31 - a21 * a30;
1.537 + double b07 = a20 * a32 - a22 * a30;
1.538 + double b08 = a20;
1.539 + double b09 = a21 * a32 - a22 * a31;
1.540 + double b10 = a21;
1.541 + double b11 = a22;
1.542 +
1.543 + // Calculate the determinant
1.544 + double det = b00 * b11 - b01 * b10 + b03 * b08;
1.545 +
1.546 + double invdet = 1.0 / det;
1.547 + // If det is zero, we want to return false. However, we also want to return false
1.548 + // if 1/det overflows to infinity (i.e. det is denormalized). Both of these are
1.549 + // handled by checking that 1/det is finite.
1.550 + if (!sk_float_isfinite(invdet)) {
1.551 + return false;
1.552 + }
1.553 + if (NULL == inverse) {
1.554 + return true;
1.555 + }
1.556 +
1.557 + b00 *= invdet;
1.558 + b01 *= invdet;
1.559 + b03 *= invdet;
1.560 + b06 *= invdet;
1.561 + b07 *= invdet;
1.562 + b08 *= invdet;
1.563 + b09 *= invdet;
1.564 + b10 *= invdet;
1.565 + b11 *= invdet;
1.566 +
1.567 + inverse->fMat[0][0] = SkDoubleToMScalar(a11 * b11 - a12 * b10);
1.568 + inverse->fMat[0][1] = SkDoubleToMScalar(a02 * b10 - a01 * b11);
1.569 + inverse->fMat[0][2] = SkDoubleToMScalar(b03);
1.570 + inverse->fMat[0][3] = 0;
1.571 + inverse->fMat[1][0] = SkDoubleToMScalar(a12 * b08 - a10 * b11);
1.572 + inverse->fMat[1][1] = SkDoubleToMScalar(a00 * b11 - a02 * b08);
1.573 + inverse->fMat[1][2] = SkDoubleToMScalar(-b01);
1.574 + inverse->fMat[1][3] = 0;
1.575 + inverse->fMat[2][0] = SkDoubleToMScalar(a10 * b10 - a11 * b08);
1.576 + inverse->fMat[2][1] = SkDoubleToMScalar(a01 * b08 - a00 * b10);
1.577 + inverse->fMat[2][2] = SkDoubleToMScalar(b00);
1.578 + inverse->fMat[2][3] = 0;
1.579 + inverse->fMat[3][0] = SkDoubleToMScalar(a11 * b07 - a10 * b09 - a12 * b06);
1.580 + inverse->fMat[3][1] = SkDoubleToMScalar(a00 * b09 - a01 * b07 + a02 * b06);
1.581 + inverse->fMat[3][2] = SkDoubleToMScalar(a31 * b01 - a30 * b03 - a32 * b00);
1.582 + inverse->fMat[3][3] = 1;
1.583 +
1.584 + inverse->setTypeMask(this->getType());
1.585 + return true;
1.586 + }
1.587 +
1.588 + double b00 = a00 * a11 - a01 * a10;
1.589 + double b01 = a00 * a12 - a02 * a10;
1.590 + double b02 = a00 * a13 - a03 * a10;
1.591 + double b03 = a01 * a12 - a02 * a11;
1.592 + double b04 = a01 * a13 - a03 * a11;
1.593 + double b05 = a02 * a13 - a03 * a12;
1.594 + double b06 = a20 * a31 - a21 * a30;
1.595 + double b07 = a20 * a32 - a22 * a30;
1.596 + double b08 = a20 * a33 - a23 * a30;
1.597 + double b09 = a21 * a32 - a22 * a31;
1.598 + double b10 = a21 * a33 - a23 * a31;
1.599 + double b11 = a22 * a33 - a23 * a32;
1.600 +
1.601 + // Calculate the determinant
1.602 + double det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
1.603 +
1.604 + double invdet = 1.0 / det;
1.605 + // If det is zero, we want to return false. However, we also want to return false
1.606 + // if 1/det overflows to infinity (i.e. det is denormalized). Both of these are
1.607 + // handled by checking that 1/det is finite.
1.608 + if (!sk_float_isfinite(invdet)) {
1.609 + return false;
1.610 + }
1.611 + if (NULL == inverse) {
1.612 + return true;
1.613 + }
1.614 +
1.615 + b00 *= invdet;
1.616 + b01 *= invdet;
1.617 + b02 *= invdet;
1.618 + b03 *= invdet;
1.619 + b04 *= invdet;
1.620 + b05 *= invdet;
1.621 + b06 *= invdet;
1.622 + b07 *= invdet;
1.623 + b08 *= invdet;
1.624 + b09 *= invdet;
1.625 + b10 *= invdet;
1.626 + b11 *= invdet;
1.627 +
1.628 + inverse->fMat[0][0] = SkDoubleToMScalar(a11 * b11 - a12 * b10 + a13 * b09);
1.629 + inverse->fMat[0][1] = SkDoubleToMScalar(a02 * b10 - a01 * b11 - a03 * b09);
1.630 + inverse->fMat[0][2] = SkDoubleToMScalar(a31 * b05 - a32 * b04 + a33 * b03);
1.631 + inverse->fMat[0][3] = SkDoubleToMScalar(a22 * b04 - a21 * b05 - a23 * b03);
1.632 + inverse->fMat[1][0] = SkDoubleToMScalar(a12 * b08 - a10 * b11 - a13 * b07);
1.633 + inverse->fMat[1][1] = SkDoubleToMScalar(a00 * b11 - a02 * b08 + a03 * b07);
1.634 + inverse->fMat[1][2] = SkDoubleToMScalar(a32 * b02 - a30 * b05 - a33 * b01);
1.635 + inverse->fMat[1][3] = SkDoubleToMScalar(a20 * b05 - a22 * b02 + a23 * b01);
1.636 + inverse->fMat[2][0] = SkDoubleToMScalar(a10 * b10 - a11 * b08 + a13 * b06);
1.637 + inverse->fMat[2][1] = SkDoubleToMScalar(a01 * b08 - a00 * b10 - a03 * b06);
1.638 + inverse->fMat[2][2] = SkDoubleToMScalar(a30 * b04 - a31 * b02 + a33 * b00);
1.639 + inverse->fMat[2][3] = SkDoubleToMScalar(a21 * b02 - a20 * b04 - a23 * b00);
1.640 + inverse->fMat[3][0] = SkDoubleToMScalar(a11 * b07 - a10 * b09 - a12 * b06);
1.641 + inverse->fMat[3][1] = SkDoubleToMScalar(a00 * b09 - a01 * b07 + a02 * b06);
1.642 + inverse->fMat[3][2] = SkDoubleToMScalar(a31 * b01 - a30 * b03 - a32 * b00);
1.643 + inverse->fMat[3][3] = SkDoubleToMScalar(a20 * b03 - a21 * b01 + a22 * b00);
1.644 + inverse->dirtyTypeMask();
1.645 +
1.646 + return true;
1.647 +}
1.648 +
1.649 +///////////////////////////////////////////////////////////////////////////////
1.650 +
1.651 +void SkMatrix44::transpose() {
1.652 + SkTSwap(fMat[0][1], fMat[1][0]);
1.653 + SkTSwap(fMat[0][2], fMat[2][0]);
1.654 + SkTSwap(fMat[0][3], fMat[3][0]);
1.655 + SkTSwap(fMat[1][2], fMat[2][1]);
1.656 + SkTSwap(fMat[1][3], fMat[3][1]);
1.657 + SkTSwap(fMat[2][3], fMat[3][2]);
1.658 +
1.659 + if (!this->isTriviallyIdentity()) {
1.660 + this->dirtyTypeMask();
1.661 + }
1.662 +}
1.663 +
1.664 +///////////////////////////////////////////////////////////////////////////////
1.665 +
1.666 +void SkMatrix44::mapScalars(const SkScalar src[4], SkScalar dst[4]) const {
1.667 + SkScalar storage[4];
1.668 + SkScalar* result = (src == dst) ? storage : dst;
1.669 +
1.670 + for (int i = 0; i < 4; i++) {
1.671 + SkMScalar value = 0;
1.672 + for (int j = 0; j < 4; j++) {
1.673 + value += fMat[j][i] * src[j];
1.674 + }
1.675 + result[i] = SkMScalarToScalar(value);
1.676 + }
1.677 +
1.678 + if (storage == result) {
1.679 + memcpy(dst, storage, sizeof(storage));
1.680 + }
1.681 +}
1.682 +
1.683 +#ifdef SK_MSCALAR_IS_DOUBLE
1.684 +
1.685 +void SkMatrix44::mapMScalars(const SkMScalar src[4], SkMScalar dst[4]) const {
1.686 + SkMScalar storage[4];
1.687 + SkMScalar* result = (src == dst) ? storage : dst;
1.688 +
1.689 + for (int i = 0; i < 4; i++) {
1.690 + SkMScalar value = 0;
1.691 + for (int j = 0; j < 4; j++) {
1.692 + value += fMat[j][i] * src[j];
1.693 + }
1.694 + result[i] = value;
1.695 + }
1.696 +
1.697 + if (storage == result) {
1.698 + memcpy(dst, storage, sizeof(storage));
1.699 + }
1.700 +}
1.701 +
1.702 +#endif
1.703 +
1.704 +typedef void (*Map2Procf)(const SkMScalar mat[][4], const float src2[], int count, float dst4[]);
1.705 +typedef void (*Map2Procd)(const SkMScalar mat[][4], const double src2[], int count, double dst4[]);
1.706 +
1.707 +static void map2_if(const SkMScalar mat[][4], const float* SK_RESTRICT src2,
1.708 + int count, float* SK_RESTRICT dst4) {
1.709 + for (int i = 0; i < count; ++i) {
1.710 + dst4[0] = src2[0];
1.711 + dst4[1] = src2[1];
1.712 + dst4[2] = 0;
1.713 + dst4[3] = 1;
1.714 + src2 += 2;
1.715 + dst4 += 4;
1.716 + }
1.717 +}
1.718 +
1.719 +static void map2_id(const SkMScalar mat[][4], const double* SK_RESTRICT src2,
1.720 + int count, double* SK_RESTRICT dst4) {
1.721 + for (int i = 0; i < count; ++i) {
1.722 + dst4[0] = src2[0];
1.723 + dst4[1] = src2[1];
1.724 + dst4[2] = 0;
1.725 + dst4[3] = 1;
1.726 + src2 += 2;
1.727 + dst4 += 4;
1.728 + }
1.729 +}
1.730 +
1.731 +static void map2_tf(const SkMScalar mat[][4], const float* SK_RESTRICT src2,
1.732 + int count, float* SK_RESTRICT dst4) {
1.733 + const float mat30 = SkMScalarToFloat(mat[3][0]);
1.734 + const float mat31 = SkMScalarToFloat(mat[3][1]);
1.735 + const float mat32 = SkMScalarToFloat(mat[3][2]);
1.736 + for (int n = 0; n < count; ++n) {
1.737 + dst4[0] = src2[0] + mat30;
1.738 + dst4[1] = src2[1] + mat31;
1.739 + dst4[2] = mat32;
1.740 + dst4[3] = 1;
1.741 + src2 += 2;
1.742 + dst4 += 4;
1.743 + }
1.744 +}
1.745 +
1.746 +static void map2_td(const SkMScalar mat[][4], const double* SK_RESTRICT src2,
1.747 + int count, double* SK_RESTRICT dst4) {
1.748 + for (int n = 0; n < count; ++n) {
1.749 + dst4[0] = src2[0] + mat[3][0];
1.750 + dst4[1] = src2[1] + mat[3][1];
1.751 + dst4[2] = mat[3][2];
1.752 + dst4[3] = 1;
1.753 + src2 += 2;
1.754 + dst4 += 4;
1.755 + }
1.756 +}
1.757 +
1.758 +static void map2_sf(const SkMScalar mat[][4], const float* SK_RESTRICT src2,
1.759 + int count, float* SK_RESTRICT dst4) {
1.760 + const float mat32 = SkMScalarToFloat(mat[3][2]);
1.761 + for (int n = 0; n < count; ++n) {
1.762 + dst4[0] = SkMScalarToFloat(mat[0][0] * src2[0] + mat[3][0]);
1.763 + dst4[1] = SkMScalarToFloat(mat[1][1] * src2[1] + mat[3][1]);
1.764 + dst4[2] = mat32;
1.765 + dst4[3] = 1;
1.766 + src2 += 2;
1.767 + dst4 += 4;
1.768 + }
1.769 +}
1.770 +
1.771 +static void map2_sd(const SkMScalar mat[][4], const double* SK_RESTRICT src2,
1.772 + int count, double* SK_RESTRICT dst4) {
1.773 + for (int n = 0; n < count; ++n) {
1.774 + dst4[0] = mat[0][0] * src2[0] + mat[3][0];
1.775 + dst4[1] = mat[1][1] * src2[1] + mat[3][1];
1.776 + dst4[2] = mat[3][2];
1.777 + dst4[3] = 1;
1.778 + src2 += 2;
1.779 + dst4 += 4;
1.780 + }
1.781 +}
1.782 +
1.783 +static void map2_af(const SkMScalar mat[][4], const float* SK_RESTRICT src2,
1.784 + int count, float* SK_RESTRICT dst4) {
1.785 + SkMScalar r;
1.786 + for (int n = 0; n < count; ++n) {
1.787 + SkMScalar sx = SkFloatToMScalar(src2[0]);
1.788 + SkMScalar sy = SkFloatToMScalar(src2[1]);
1.789 + r = mat[0][0] * sx + mat[1][0] * sy + mat[3][0];
1.790 + dst4[0] = SkMScalarToFloat(r);
1.791 + r = mat[0][1] * sx + mat[1][1] * sy + mat[3][1];
1.792 + dst4[1] = SkMScalarToFloat(r);
1.793 + r = mat[0][2] * sx + mat[1][2] * sy + mat[3][2];
1.794 + dst4[2] = SkMScalarToFloat(r);
1.795 + dst4[3] = 1;
1.796 + src2 += 2;
1.797 + dst4 += 4;
1.798 + }
1.799 +}
1.800 +
1.801 +static void map2_ad(const SkMScalar mat[][4], const double* SK_RESTRICT src2,
1.802 + int count, double* SK_RESTRICT dst4) {
1.803 + for (int n = 0; n < count; ++n) {
1.804 + double sx = src2[0];
1.805 + double sy = src2[1];
1.806 + dst4[0] = mat[0][0] * sx + mat[1][0] * sy + mat[3][0];
1.807 + dst4[1] = mat[0][1] * sx + mat[1][1] * sy + mat[3][1];
1.808 + dst4[2] = mat[0][2] * sx + mat[1][2] * sy + mat[3][2];
1.809 + dst4[3] = 1;
1.810 + src2 += 2;
1.811 + dst4 += 4;
1.812 + }
1.813 +}
1.814 +
1.815 +static void map2_pf(const SkMScalar mat[][4], const float* SK_RESTRICT src2,
1.816 + int count, float* SK_RESTRICT dst4) {
1.817 + SkMScalar r;
1.818 + for (int n = 0; n < count; ++n) {
1.819 + SkMScalar sx = SkFloatToMScalar(src2[0]);
1.820 + SkMScalar sy = SkFloatToMScalar(src2[1]);
1.821 + for (int i = 0; i < 4; i++) {
1.822 + r = mat[0][i] * sx + mat[1][i] * sy + mat[3][i];
1.823 + dst4[i] = SkMScalarToFloat(r);
1.824 + }
1.825 + src2 += 2;
1.826 + dst4 += 4;
1.827 + }
1.828 +}
1.829 +
1.830 +static void map2_pd(const SkMScalar mat[][4], const double* SK_RESTRICT src2,
1.831 + int count, double* SK_RESTRICT dst4) {
1.832 + for (int n = 0; n < count; ++n) {
1.833 + double sx = src2[0];
1.834 + double sy = src2[1];
1.835 + for (int i = 0; i < 4; i++) {
1.836 + dst4[i] = mat[0][i] * sx + mat[1][i] * sy + mat[3][i];
1.837 + }
1.838 + src2 += 2;
1.839 + dst4 += 4;
1.840 + }
1.841 +}
1.842 +
1.843 +void SkMatrix44::map2(const float src2[], int count, float dst4[]) const {
1.844 + static const Map2Procf gProc[] = {
1.845 + map2_if, map2_tf, map2_sf, map2_sf, map2_af, map2_af, map2_af, map2_af
1.846 + };
1.847 +
1.848 + TypeMask mask = this->getType();
1.849 + Map2Procf proc = (mask & kPerspective_Mask) ? map2_pf : gProc[mask];
1.850 + proc(fMat, src2, count, dst4);
1.851 +}
1.852 +
1.853 +void SkMatrix44::map2(const double src2[], int count, double dst4[]) const {
1.854 + static const Map2Procd gProc[] = {
1.855 + map2_id, map2_td, map2_sd, map2_sd, map2_ad, map2_ad, map2_ad, map2_ad
1.856 + };
1.857 +
1.858 + TypeMask mask = this->getType();
1.859 + Map2Procd proc = (mask & kPerspective_Mask) ? map2_pd : gProc[mask];
1.860 + proc(fMat, src2, count, dst4);
1.861 +}
1.862 +
1.863 +///////////////////////////////////////////////////////////////////////////////
1.864 +
1.865 +void SkMatrix44::dump() const {
1.866 + static const char* format =
1.867 + "[%g %g %g %g][%g %g %g %g][%g %g %g %g][%g %g %g %g]\n";
1.868 +#if 0
1.869 + SkDebugf(format,
1.870 + fMat[0][0], fMat[1][0], fMat[2][0], fMat[3][0],
1.871 + fMat[0][1], fMat[1][1], fMat[2][1], fMat[3][1],
1.872 + fMat[0][2], fMat[1][2], fMat[2][2], fMat[3][2],
1.873 + fMat[0][3], fMat[1][3], fMat[2][3], fMat[3][3]);
1.874 +#else
1.875 + SkDebugf(format,
1.876 + fMat[0][0], fMat[0][1], fMat[0][2], fMat[0][3],
1.877 + fMat[1][0], fMat[1][1], fMat[1][2], fMat[1][3],
1.878 + fMat[2][0], fMat[2][1], fMat[2][2], fMat[2][3],
1.879 + fMat[3][0], fMat[3][1], fMat[3][2], fMat[3][3]);
1.880 +#endif
1.881 +}
1.882 +
1.883 +///////////////////////////////////////////////////////////////////////////////
1.884 +
1.885 +static void initFromMatrix(SkMScalar dst[4][4], const SkMatrix& src) {
1.886 + dst[0][0] = SkScalarToMScalar(src[SkMatrix::kMScaleX]);
1.887 + dst[1][0] = SkScalarToMScalar(src[SkMatrix::kMSkewX]);
1.888 + dst[2][0] = 0;
1.889 + dst[3][0] = SkScalarToMScalar(src[SkMatrix::kMTransX]);
1.890 + dst[0][1] = SkScalarToMScalar(src[SkMatrix::kMSkewY]);
1.891 + dst[1][1] = SkScalarToMScalar(src[SkMatrix::kMScaleY]);
1.892 + dst[2][1] = 0;
1.893 + dst[3][1] = SkScalarToMScalar(src[SkMatrix::kMTransY]);
1.894 + dst[0][2] = 0;
1.895 + dst[1][2] = 0;
1.896 + dst[2][2] = 1;
1.897 + dst[3][2] = 0;
1.898 + dst[0][3] = SkScalarToMScalar(src[SkMatrix::kMPersp0]);
1.899 + dst[1][3] = SkScalarToMScalar(src[SkMatrix::kMPersp1]);
1.900 + dst[2][3] = 0;
1.901 + dst[3][3] = SkScalarToMScalar(src[SkMatrix::kMPersp2]);
1.902 +}
1.903 +
1.904 +SkMatrix44::SkMatrix44(const SkMatrix& src) {
1.905 + initFromMatrix(fMat, src);
1.906 +}
1.907 +
1.908 +SkMatrix44& SkMatrix44::operator=(const SkMatrix& src) {
1.909 + initFromMatrix(fMat, src);
1.910 +
1.911 + if (src.isIdentity()) {
1.912 + this->setTypeMask(kIdentity_Mask);
1.913 + } else {
1.914 + this->dirtyTypeMask();
1.915 + }
1.916 + return *this;
1.917 +}
1.918 +
1.919 +SkMatrix44::operator SkMatrix() const {
1.920 + SkMatrix dst;
1.921 +
1.922 + dst[SkMatrix::kMScaleX] = SkMScalarToScalar(fMat[0][0]);
1.923 + dst[SkMatrix::kMSkewX] = SkMScalarToScalar(fMat[1][0]);
1.924 + dst[SkMatrix::kMTransX] = SkMScalarToScalar(fMat[3][0]);
1.925 +
1.926 + dst[SkMatrix::kMSkewY] = SkMScalarToScalar(fMat[0][1]);
1.927 + dst[SkMatrix::kMScaleY] = SkMScalarToScalar(fMat[1][1]);
1.928 + dst[SkMatrix::kMTransY] = SkMScalarToScalar(fMat[3][1]);
1.929 +
1.930 + dst[SkMatrix::kMPersp0] = SkMScalarToScalar(fMat[0][3]);
1.931 + dst[SkMatrix::kMPersp1] = SkMScalarToScalar(fMat[1][3]);
1.932 + dst[SkMatrix::kMPersp2] = SkMScalarToScalar(fMat[3][3]);
1.933 +
1.934 + return dst;
1.935 +}
