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Unified Diff: src/utils/SkMatrix44.cpp

Issue 1943833002: return 4x4 matrix from SkColorSpace (Closed) Base URL: https://skia.googlesource.com/skia.git@master
Patch Set: fix redirect header Created 4 years, 8 months ago
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Index: src/utils/SkMatrix44.cpp
diff --git a/src/utils/SkMatrix44.cpp b/src/utils/SkMatrix44.cpp
deleted file mode 100644
index 71cd74002b87450e23662f2efc82d6594007901b..0000000000000000000000000000000000000000
--- a/src/utils/SkMatrix44.cpp
+++ /dev/null
@@ -1,996 +0,0 @@
-/*
- * Copyright 2011 Google Inc.
- *
- * Use of this source code is governed by a BSD-style license that can be
- * found in the LICENSE file.
- */
-
-#include "SkMatrix44.h"
-
-static inline bool eq4(const SkMScalar* SK_RESTRICT a,
- const SkMScalar* SK_RESTRICT b) {
- return (a[0] == b[0]) & (a[1] == b[1]) & (a[2] == b[2]) & (a[3] == b[3]);
-}
-
-bool SkMatrix44::operator==(const SkMatrix44& other) const {
- if (this == &other) {
- return true;
- }
-
- if (this->isTriviallyIdentity() && other.isTriviallyIdentity()) {
- return true;
- }
-
- const SkMScalar* SK_RESTRICT a = &fMat[0][0];
- const SkMScalar* SK_RESTRICT b = &other.fMat[0][0];
-
-#if 0
- for (int i = 0; i < 16; ++i) {
- if (a[i] != b[i]) {
- return false;
- }
- }
- return true;
-#else
- // to reduce branch instructions, we compare 4 at a time.
- // see bench/Matrix44Bench.cpp for test.
- if (!eq4(&a[0], &b[0])) {
- return false;
- }
- if (!eq4(&a[4], &b[4])) {
- return false;
- }
- if (!eq4(&a[8], &b[8])) {
- return false;
- }
- return eq4(&a[12], &b[12]);
-#endif
-}
-
-///////////////////////////////////////////////////////////////////////////////
-
-int SkMatrix44::computeTypeMask() const {
- unsigned mask = 0;
-
- if (0 != perspX() || 0 != perspY() || 0 != perspZ() || 1 != fMat[3][3]) {
- return kTranslate_Mask | kScale_Mask | kAffine_Mask | kPerspective_Mask;
- }
-
- if (0 != transX() || 0 != transY() || 0 != transZ()) {
- mask |= kTranslate_Mask;
- }
-
- if (1 != scaleX() || 1 != scaleY() || 1 != scaleZ()) {
- mask |= kScale_Mask;
- }
-
- if (0 != fMat[1][0] || 0 != fMat[0][1] || 0 != fMat[0][2] ||
- 0 != fMat[2][0] || 0 != fMat[1][2] || 0 != fMat[2][1]) {
- mask |= kAffine_Mask;
- }
-
- return mask;
-}
-
-///////////////////////////////////////////////////////////////////////////////
-
-void SkMatrix44::asColMajorf(float dst[]) const {
- const SkMScalar* src = &fMat[0][0];
-#ifdef SK_MSCALAR_IS_DOUBLE
- for (int i = 0; i < 16; ++i) {
- dst[i] = SkMScalarToFloat(src[i]);
- }
-#elif defined SK_MSCALAR_IS_FLOAT
- memcpy(dst, src, 16 * sizeof(float));
-#endif
-}
-
-void SkMatrix44::asColMajord(double dst[]) const {
- const SkMScalar* src = &fMat[0][0];
-#ifdef SK_MSCALAR_IS_DOUBLE
- memcpy(dst, src, 16 * sizeof(double));
-#elif defined SK_MSCALAR_IS_FLOAT
- for (int i = 0; i < 16; ++i) {
- dst[i] = SkMScalarToDouble(src[i]);
- }
-#endif
-}
-
-void SkMatrix44::asRowMajorf(float dst[]) const {
- const SkMScalar* src = &fMat[0][0];
- for (int i = 0; i < 4; ++i) {
- dst[0] = SkMScalarToFloat(src[0]);
- dst[4] = SkMScalarToFloat(src[1]);
- dst[8] = SkMScalarToFloat(src[2]);
- dst[12] = SkMScalarToFloat(src[3]);
- src += 4;
- dst += 1;
- }
-}
-
-void SkMatrix44::asRowMajord(double dst[]) const {
- const SkMScalar* src = &fMat[0][0];
- for (int i = 0; i < 4; ++i) {
- dst[0] = SkMScalarToDouble(src[0]);
- dst[4] = SkMScalarToDouble(src[1]);
- dst[8] = SkMScalarToDouble(src[2]);
- dst[12] = SkMScalarToDouble(src[3]);
- src += 4;
- dst += 1;
- }
-}
-
-void SkMatrix44::setColMajorf(const float src[]) {
- SkMScalar* dst = &fMat[0][0];
-#ifdef SK_MSCALAR_IS_DOUBLE
- for (int i = 0; i < 16; ++i) {
- dst[i] = SkMScalarToFloat(src[i]);
- }
-#elif defined SK_MSCALAR_IS_FLOAT
- memcpy(dst, src, 16 * sizeof(float));
-#endif
-
- this->dirtyTypeMask();
-}
-
-void SkMatrix44::setColMajord(const double src[]) {
- SkMScalar* dst = &fMat[0][0];
-#ifdef SK_MSCALAR_IS_DOUBLE
- memcpy(dst, src, 16 * sizeof(double));
-#elif defined SK_MSCALAR_IS_FLOAT
- for (int i = 0; i < 16; ++i) {
- dst[i] = SkDoubleToMScalar(src[i]);
- }
-#endif
-
- this->dirtyTypeMask();
-}
-
-void SkMatrix44::setRowMajorf(const float src[]) {
- SkMScalar* dst = &fMat[0][0];
- for (int i = 0; i < 4; ++i) {
- dst[0] = SkMScalarToFloat(src[0]);
- dst[4] = SkMScalarToFloat(src[1]);
- dst[8] = SkMScalarToFloat(src[2]);
- dst[12] = SkMScalarToFloat(src[3]);
- src += 4;
- dst += 1;
- }
- this->dirtyTypeMask();
-}
-
-void SkMatrix44::setRowMajord(const double src[]) {
- SkMScalar* dst = &fMat[0][0];
- for (int i = 0; i < 4; ++i) {
- dst[0] = SkDoubleToMScalar(src[0]);
- dst[4] = SkDoubleToMScalar(src[1]);
- dst[8] = SkDoubleToMScalar(src[2]);
- dst[12] = SkDoubleToMScalar(src[3]);
- src += 4;
- dst += 1;
- }
- this->dirtyTypeMask();
-}
-
-///////////////////////////////////////////////////////////////////////////////
-
-const SkMatrix44& SkMatrix44::I() {
- static const SkMatrix44 gIdentity44(kIdentity_Constructor);
- return gIdentity44;
-}
-
-void SkMatrix44::setIdentity() {
- fMat[0][0] = 1;
- fMat[0][1] = 0;
- fMat[0][2] = 0;
- fMat[0][3] = 0;
- fMat[1][0] = 0;
- fMat[1][1] = 1;
- fMat[1][2] = 0;
- fMat[1][3] = 0;
- fMat[2][0] = 0;
- fMat[2][1] = 0;
- fMat[2][2] = 1;
- fMat[2][3] = 0;
- fMat[3][0] = 0;
- fMat[3][1] = 0;
- fMat[3][2] = 0;
- fMat[3][3] = 1;
- this->setTypeMask(kIdentity_Mask);
-}
-
-void SkMatrix44::set3x3(SkMScalar m00, SkMScalar m01, SkMScalar m02,
- SkMScalar m10, SkMScalar m11, SkMScalar m12,
- SkMScalar m20, SkMScalar m21, SkMScalar m22) {
- fMat[0][0] = m00; fMat[0][1] = m01; fMat[0][2] = m02; fMat[0][3] = 0;
- fMat[1][0] = m10; fMat[1][1] = m11; fMat[1][2] = m12; fMat[1][3] = 0;
- fMat[2][0] = m20; fMat[2][1] = m21; fMat[2][2] = m22; fMat[2][3] = 0;
- fMat[3][0] = 0; fMat[3][1] = 0; fMat[3][2] = 0; fMat[3][3] = 1;
- this->dirtyTypeMask();
-}
-
-///////////////////////////////////////////////////////////////////////////////
-
-void SkMatrix44::setTranslate(SkMScalar dx, SkMScalar dy, SkMScalar dz) {
- this->setIdentity();
-
- if (!dx && !dy && !dz) {
- return;
- }
-
- fMat[3][0] = dx;
- fMat[3][1] = dy;
- fMat[3][2] = dz;
- this->setTypeMask(kTranslate_Mask);
-}
-
-void SkMatrix44::preTranslate(SkMScalar dx, SkMScalar dy, SkMScalar dz) {
- if (!dx && !dy && !dz) {
- return;
- }
-
- for (int i = 0; i < 4; ++i) {
- fMat[3][i] = fMat[0][i] * dx + fMat[1][i] * dy + fMat[2][i] * dz + fMat[3][i];
- }
- this->dirtyTypeMask();
-}
-
-void SkMatrix44::postTranslate(SkMScalar dx, SkMScalar dy, SkMScalar dz) {
- if (!dx && !dy && !dz) {
- return;
- }
-
- if (this->getType() & kPerspective_Mask) {
- for (int i = 0; i < 4; ++i) {
- fMat[i][0] += fMat[i][3] * dx;
- fMat[i][1] += fMat[i][3] * dy;
- fMat[i][2] += fMat[i][3] * dz;
- }
- } else {
- fMat[3][0] += dx;
- fMat[3][1] += dy;
- fMat[3][2] += dz;
- this->dirtyTypeMask();
- }
-}
-
-///////////////////////////////////////////////////////////////////////////////
-
-void SkMatrix44::setScale(SkMScalar sx, SkMScalar sy, SkMScalar sz) {
- this->setIdentity();
-
- if (1 == sx && 1 == sy && 1 == sz) {
- return;
- }
-
- fMat[0][0] = sx;
- fMat[1][1] = sy;
- fMat[2][2] = sz;
- this->setTypeMask(kScale_Mask);
-}
-
-void SkMatrix44::preScale(SkMScalar sx, SkMScalar sy, SkMScalar sz) {
- if (1 == sx && 1 == sy && 1 == sz) {
- return;
- }
-
- // The implementation matrix * pureScale can be shortcut
- // by knowing that pureScale components effectively scale
- // the columns of the original matrix.
- for (int i = 0; i < 4; i++) {
- fMat[0][i] *= sx;
- fMat[1][i] *= sy;
- fMat[2][i] *= sz;
- }
- this->dirtyTypeMask();
-}
-
-void SkMatrix44::postScale(SkMScalar sx, SkMScalar sy, SkMScalar sz) {
- if (1 == sx && 1 == sy && 1 == sz) {
- return;
- }
-
- for (int i = 0; i < 4; i++) {
- fMat[i][0] *= sx;
- fMat[i][1] *= sy;
- fMat[i][2] *= sz;
- }
- this->dirtyTypeMask();
-}
-
-///////////////////////////////////////////////////////////////////////////////
-
-void SkMatrix44::setRotateAbout(SkMScalar x, SkMScalar y, SkMScalar z,
- SkMScalar radians) {
- double len2 = (double)x * x + (double)y * y + (double)z * z;
- if (1 != len2) {
- if (0 == len2) {
- this->setIdentity();
- return;
- }
- double scale = 1 / sqrt(len2);
- x = SkDoubleToMScalar(x * scale);
- y = SkDoubleToMScalar(y * scale);
- z = SkDoubleToMScalar(z * scale);
- }
- this->setRotateAboutUnit(x, y, z, radians);
-}
-
-void SkMatrix44::setRotateAboutUnit(SkMScalar x, SkMScalar y, SkMScalar z,
- SkMScalar radians) {
- double c = cos(radians);
- double s = sin(radians);
- double C = 1 - c;
- double xs = x * s;
- double ys = y * s;
- double zs = z * s;
- double xC = x * C;
- double yC = y * C;
- double zC = z * C;
- double xyC = x * yC;
- double yzC = y * zC;
- double zxC = z * xC;
-
- // if you're looking at wikipedia, remember that we're column major.
- this->set3x3(SkDoubleToMScalar(x * xC + c), // scale x
- SkDoubleToMScalar(xyC + zs), // skew x
- SkDoubleToMScalar(zxC - ys), // trans x
-
- SkDoubleToMScalar(xyC - zs), // skew y
- SkDoubleToMScalar(y * yC + c), // scale y
- SkDoubleToMScalar(yzC + xs), // trans y
-
- SkDoubleToMScalar(zxC + ys), // persp x
- SkDoubleToMScalar(yzC - xs), // persp y
- SkDoubleToMScalar(z * zC + c)); // persp 2
-}
-
-///////////////////////////////////////////////////////////////////////////////
-
-static bool bits_isonly(int value, int mask) {
- return 0 == (value & ~mask);
-}
-
-void SkMatrix44::setConcat(const SkMatrix44& a, const SkMatrix44& b) {
- const SkMatrix44::TypeMask a_mask = a.getType();
- const SkMatrix44::TypeMask b_mask = b.getType();
-
- if (kIdentity_Mask == a_mask) {
- *this = b;
- return;
- }
- if (kIdentity_Mask == b_mask) {
- *this = a;
- return;
- }
-
- bool useStorage = (this == &a || this == &b);
- SkMScalar storage[16];
- SkMScalar* result = useStorage ? storage : &fMat[0][0];
-
- // Both matrices are at most scale+translate
- if (bits_isonly(a_mask | b_mask, kScale_Mask | kTranslate_Mask)) {
- result[0] = a.fMat[0][0] * b.fMat[0][0];
- result[1] = result[2] = result[3] = result[4] = 0;
- result[5] = a.fMat[1][1] * b.fMat[1][1];
- result[6] = result[7] = result[8] = result[9] = 0;
- result[10] = a.fMat[2][2] * b.fMat[2][2];
- result[11] = 0;
- result[12] = a.fMat[0][0] * b.fMat[3][0] + a.fMat[3][0];
- result[13] = a.fMat[1][1] * b.fMat[3][1] + a.fMat[3][1];
- result[14] = a.fMat[2][2] * b.fMat[3][2] + a.fMat[3][2];
- result[15] = 1;
- } else {
- for (int j = 0; j < 4; j++) {
- for (int i = 0; i < 4; i++) {
- double value = 0;
- for (int k = 0; k < 4; k++) {
- value += SkMScalarToDouble(a.fMat[k][i]) * b.fMat[j][k];
- }
- *result++ = SkDoubleToMScalar(value);
- }
- }
- }
-
- if (useStorage) {
- memcpy(fMat, storage, sizeof(storage));
- }
- this->dirtyTypeMask();
-}
-
-///////////////////////////////////////////////////////////////////////////////
-
-/** We always perform the calculation in doubles, to avoid prematurely losing
- precision along the way. This relies on the compiler automatically
- promoting our SkMScalar values to double (if needed).
- */
-double SkMatrix44::determinant() const {
- if (this->isIdentity()) {
- return 1;
- }
- if (this->isScaleTranslate()) {
- return fMat[0][0] * fMat[1][1] * fMat[2][2] * fMat[3][3];
- }
-
- double a00 = fMat[0][0];
- double a01 = fMat[0][1];
- double a02 = fMat[0][2];
- double a03 = fMat[0][3];
- double a10 = fMat[1][0];
- double a11 = fMat[1][1];
- double a12 = fMat[1][2];
- double a13 = fMat[1][3];
- double a20 = fMat[2][0];
- double a21 = fMat[2][1];
- double a22 = fMat[2][2];
- double a23 = fMat[2][3];
- double a30 = fMat[3][0];
- double a31 = fMat[3][1];
- double a32 = fMat[3][2];
- double a33 = fMat[3][3];
-
- double b00 = a00 * a11 - a01 * a10;
- double b01 = a00 * a12 - a02 * a10;
- double b02 = a00 * a13 - a03 * a10;
- double b03 = a01 * a12 - a02 * a11;
- double b04 = a01 * a13 - a03 * a11;
- double b05 = a02 * a13 - a03 * a12;
- double b06 = a20 * a31 - a21 * a30;
- double b07 = a20 * a32 - a22 * a30;
- double b08 = a20 * a33 - a23 * a30;
- double b09 = a21 * a32 - a22 * a31;
- double b10 = a21 * a33 - a23 * a31;
- double b11 = a22 * a33 - a23 * a32;
-
- // Calculate the determinant
- return b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
-}
-
-///////////////////////////////////////////////////////////////////////////////
-
-static bool is_matrix_finite(const SkMatrix44& matrix) {
- SkMScalar accumulator = 0;
- for (int row = 0; row < 4; ++row) {
- for (int col = 0; col < 4; ++col) {
- accumulator *= matrix.get(row, col);
- }
- }
- return accumulator == 0;
-}
-
-bool SkMatrix44::invert(SkMatrix44* storage) const {
- if (this->isIdentity()) {
- if (storage) {
- storage->setIdentity();
- }
- return true;
- }
-
- if (this->isTranslate()) {
- if (storage) {
- storage->setTranslate(-fMat[3][0], -fMat[3][1], -fMat[3][2]);
- }
- return true;
- }
-
- SkMatrix44 tmp(kUninitialized_Constructor);
- // Use storage if it's available and distinct from this matrix.
- SkMatrix44* inverse = (storage && storage != this) ? storage : &tmp;
- if (this->isScaleTranslate()) {
- if (0 == fMat[0][0] * fMat[1][1] * fMat[2][2]) {
- return false;
- }
-
- double invXScale = 1 / fMat[0][0];
- double invYScale = 1 / fMat[1][1];
- double invZScale = 1 / fMat[2][2];
-
- inverse->fMat[0][0] = SkDoubleToMScalar(invXScale);
- inverse->fMat[0][1] = 0;
- inverse->fMat[0][2] = 0;
- inverse->fMat[0][3] = 0;
-
- inverse->fMat[1][0] = 0;
- inverse->fMat[1][1] = SkDoubleToMScalar(invYScale);
- inverse->fMat[1][2] = 0;
- inverse->fMat[1][3] = 0;
-
- inverse->fMat[2][0] = 0;
- inverse->fMat[2][1] = 0;
- inverse->fMat[2][2] = SkDoubleToMScalar(invZScale);
- inverse->fMat[2][3] = 0;
-
- inverse->fMat[3][0] = SkDoubleToMScalar(-fMat[3][0] * invXScale);
- inverse->fMat[3][1] = SkDoubleToMScalar(-fMat[3][1] * invYScale);
- inverse->fMat[3][2] = SkDoubleToMScalar(-fMat[3][2] * invZScale);
- inverse->fMat[3][3] = 1;
-
- inverse->setTypeMask(this->getType());
-
- if (!is_matrix_finite(*inverse)) {
- return false;
- }
- if (storage && inverse != storage) {
- *storage = *inverse;
- }
- return true;
- }
-
- double a00 = fMat[0][0];
- double a01 = fMat[0][1];
- double a02 = fMat[0][2];
- double a03 = fMat[0][3];
- double a10 = fMat[1][0];
- double a11 = fMat[1][1];
- double a12 = fMat[1][2];
- double a13 = fMat[1][3];
- double a20 = fMat[2][0];
- double a21 = fMat[2][1];
- double a22 = fMat[2][2];
- double a23 = fMat[2][3];
- double a30 = fMat[3][0];
- double a31 = fMat[3][1];
- double a32 = fMat[3][2];
- double a33 = fMat[3][3];
-
- if (!(this->getType() & kPerspective_Mask)) {
- // If we know the matrix has no perspective, then the perspective
- // component is (0, 0, 0, 1). We can use this information to save a lot
- // of arithmetic that would otherwise be spent to compute the inverse
- // of a general matrix.
-
- SkASSERT(a03 == 0);
- SkASSERT(a13 == 0);
- SkASSERT(a23 == 0);
- SkASSERT(a33 == 1);
-
- double b00 = a00 * a11 - a01 * a10;
- double b01 = a00 * a12 - a02 * a10;
- double b03 = a01 * a12 - a02 * a11;
- double b06 = a20 * a31 - a21 * a30;
- double b07 = a20 * a32 - a22 * a30;
- double b08 = a20;
- double b09 = a21 * a32 - a22 * a31;
- double b10 = a21;
- double b11 = a22;
-
- // Calculate the determinant
- double det = b00 * b11 - b01 * b10 + b03 * b08;
-
- double invdet = 1.0 / det;
- // If det is zero, we want to return false. However, we also want to return false
- // if 1/det overflows to infinity (i.e. det is denormalized). Both of these are
- // handled by checking that 1/det is finite.
- if (!sk_float_isfinite(invdet)) {
- return false;
- }
-
- b00 *= invdet;
- b01 *= invdet;
- b03 *= invdet;
- b06 *= invdet;
- b07 *= invdet;
- b08 *= invdet;
- b09 *= invdet;
- b10 *= invdet;
- b11 *= invdet;
-
- inverse->fMat[0][0] = SkDoubleToMScalar(a11 * b11 - a12 * b10);
- inverse->fMat[0][1] = SkDoubleToMScalar(a02 * b10 - a01 * b11);
- inverse->fMat[0][2] = SkDoubleToMScalar(b03);
- inverse->fMat[0][3] = 0;
- inverse->fMat[1][0] = SkDoubleToMScalar(a12 * b08 - a10 * b11);
- inverse->fMat[1][1] = SkDoubleToMScalar(a00 * b11 - a02 * b08);
- inverse->fMat[1][2] = SkDoubleToMScalar(-b01);
- inverse->fMat[1][3] = 0;
- inverse->fMat[2][0] = SkDoubleToMScalar(a10 * b10 - a11 * b08);
- inverse->fMat[2][1] = SkDoubleToMScalar(a01 * b08 - a00 * b10);
- inverse->fMat[2][2] = SkDoubleToMScalar(b00);
- inverse->fMat[2][3] = 0;
- inverse->fMat[3][0] = SkDoubleToMScalar(a11 * b07 - a10 * b09 - a12 * b06);
- inverse->fMat[3][1] = SkDoubleToMScalar(a00 * b09 - a01 * b07 + a02 * b06);
- inverse->fMat[3][2] = SkDoubleToMScalar(a31 * b01 - a30 * b03 - a32 * b00);
- inverse->fMat[3][3] = 1;
-
- inverse->setTypeMask(this->getType());
- if (!is_matrix_finite(*inverse)) {
- return false;
- }
- if (storage && inverse != storage) {
- *storage = *inverse;
- }
- return true;
- }
-
- double b00 = a00 * a11 - a01 * a10;
- double b01 = a00 * a12 - a02 * a10;
- double b02 = a00 * a13 - a03 * a10;
- double b03 = a01 * a12 - a02 * a11;
- double b04 = a01 * a13 - a03 * a11;
- double b05 = a02 * a13 - a03 * a12;
- double b06 = a20 * a31 - a21 * a30;
- double b07 = a20 * a32 - a22 * a30;
- double b08 = a20 * a33 - a23 * a30;
- double b09 = a21 * a32 - a22 * a31;
- double b10 = a21 * a33 - a23 * a31;
- double b11 = a22 * a33 - a23 * a32;
-
- // Calculate the determinant
- double det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
-
- double invdet = 1.0 / det;
- // If det is zero, we want to return false. However, we also want to return false
- // if 1/det overflows to infinity (i.e. det is denormalized). Both of these are
- // handled by checking that 1/det is finite.
- if (!sk_float_isfinite(invdet)) {
- return false;
- }
-
- b00 *= invdet;
- b01 *= invdet;
- b02 *= invdet;
- b03 *= invdet;
- b04 *= invdet;
- b05 *= invdet;
- b06 *= invdet;
- b07 *= invdet;
- b08 *= invdet;
- b09 *= invdet;
- b10 *= invdet;
- b11 *= invdet;
-
- inverse->fMat[0][0] = SkDoubleToMScalar(a11 * b11 - a12 * b10 + a13 * b09);
- inverse->fMat[0][1] = SkDoubleToMScalar(a02 * b10 - a01 * b11 - a03 * b09);
- inverse->fMat[0][2] = SkDoubleToMScalar(a31 * b05 - a32 * b04 + a33 * b03);
- inverse->fMat[0][3] = SkDoubleToMScalar(a22 * b04 - a21 * b05 - a23 * b03);
- inverse->fMat[1][0] = SkDoubleToMScalar(a12 * b08 - a10 * b11 - a13 * b07);
- inverse->fMat[1][1] = SkDoubleToMScalar(a00 * b11 - a02 * b08 + a03 * b07);
- inverse->fMat[1][2] = SkDoubleToMScalar(a32 * b02 - a30 * b05 - a33 * b01);
- inverse->fMat[1][3] = SkDoubleToMScalar(a20 * b05 - a22 * b02 + a23 * b01);
- inverse->fMat[2][0] = SkDoubleToMScalar(a10 * b10 - a11 * b08 + a13 * b06);
- inverse->fMat[2][1] = SkDoubleToMScalar(a01 * b08 - a00 * b10 - a03 * b06);
- inverse->fMat[2][2] = SkDoubleToMScalar(a30 * b04 - a31 * b02 + a33 * b00);
- inverse->fMat[2][3] = SkDoubleToMScalar(a21 * b02 - a20 * b04 - a23 * b00);
- inverse->fMat[3][0] = SkDoubleToMScalar(a11 * b07 - a10 * b09 - a12 * b06);
- inverse->fMat[3][1] = SkDoubleToMScalar(a00 * b09 - a01 * b07 + a02 * b06);
- inverse->fMat[3][2] = SkDoubleToMScalar(a31 * b01 - a30 * b03 - a32 * b00);
- inverse->fMat[3][3] = SkDoubleToMScalar(a20 * b03 - a21 * b01 + a22 * b00);
- inverse->dirtyTypeMask();
-
- inverse->setTypeMask(this->getType());
- if (!is_matrix_finite(*inverse)) {
- return false;
- }
- if (storage && inverse != storage) {
- *storage = *inverse;
- }
- return true;
-}
-
-///////////////////////////////////////////////////////////////////////////////
-
-void SkMatrix44::transpose() {
- SkTSwap(fMat[0][1], fMat[1][0]);
- SkTSwap(fMat[0][2], fMat[2][0]);
- SkTSwap(fMat[0][3], fMat[3][0]);
- SkTSwap(fMat[1][2], fMat[2][1]);
- SkTSwap(fMat[1][3], fMat[3][1]);
- SkTSwap(fMat[2][3], fMat[3][2]);
-
- if (!this->isTriviallyIdentity()) {
- this->dirtyTypeMask();
- }
-}
-
-///////////////////////////////////////////////////////////////////////////////
-
-void SkMatrix44::mapScalars(const SkScalar src[4], SkScalar dst[4]) const {
- SkScalar storage[4];
- SkScalar* result = (src == dst) ? storage : dst;
-
- for (int i = 0; i < 4; i++) {
- SkMScalar value = 0;
- for (int j = 0; j < 4; j++) {
- value += fMat[j][i] * src[j];
- }
- result[i] = SkMScalarToScalar(value);
- }
-
- if (storage == result) {
- memcpy(dst, storage, sizeof(storage));
- }
-}
-
-#ifdef SK_MSCALAR_IS_DOUBLE
-
-void SkMatrix44::mapMScalars(const SkMScalar src[4], SkMScalar dst[4]) const {
- SkMScalar storage[4];
- SkMScalar* result = (src == dst) ? storage : dst;
-
- for (int i = 0; i < 4; i++) {
- SkMScalar value = 0;
- for (int j = 0; j < 4; j++) {
- value += fMat[j][i] * src[j];
- }
- result[i] = value;
- }
-
- if (storage == result) {
- memcpy(dst, storage, sizeof(storage));
- }
-}
-
-#endif
-
-typedef void (*Map2Procf)(const SkMScalar mat[][4], const float src2[], int count, float dst4[]);
-typedef void (*Map2Procd)(const SkMScalar mat[][4], const double src2[], int count, double dst4[]);
-
-static void map2_if(const SkMScalar mat[][4], const float* SK_RESTRICT src2,
- int count, float* SK_RESTRICT dst4) {
- for (int i = 0; i < count; ++i) {
- dst4[0] = src2[0];
- dst4[1] = src2[1];
- dst4[2] = 0;
- dst4[3] = 1;
- src2 += 2;
- dst4 += 4;
- }
-}
-
-static void map2_id(const SkMScalar mat[][4], const double* SK_RESTRICT src2,
- int count, double* SK_RESTRICT dst4) {
- for (int i = 0; i < count; ++i) {
- dst4[0] = src2[0];
- dst4[1] = src2[1];
- dst4[2] = 0;
- dst4[3] = 1;
- src2 += 2;
- dst4 += 4;
- }
-}
-
-static void map2_tf(const SkMScalar mat[][4], const float* SK_RESTRICT src2,
- int count, float* SK_RESTRICT dst4) {
- const float mat30 = SkMScalarToFloat(mat[3][0]);
- const float mat31 = SkMScalarToFloat(mat[3][1]);
- const float mat32 = SkMScalarToFloat(mat[3][2]);
- for (int n = 0; n < count; ++n) {
- dst4[0] = src2[0] + mat30;
- dst4[1] = src2[1] + mat31;
- dst4[2] = mat32;
- dst4[3] = 1;
- src2 += 2;
- dst4 += 4;
- }
-}
-
-static void map2_td(const SkMScalar mat[][4], const double* SK_RESTRICT src2,
- int count, double* SK_RESTRICT dst4) {
- for (int n = 0; n < count; ++n) {
- dst4[0] = src2[0] + mat[3][0];
- dst4[1] = src2[1] + mat[3][1];
- dst4[2] = mat[3][2];
- dst4[3] = 1;
- src2 += 2;
- dst4 += 4;
- }
-}
-
-static void map2_sf(const SkMScalar mat[][4], const float* SK_RESTRICT src2,
- int count, float* SK_RESTRICT dst4) {
- const float mat32 = SkMScalarToFloat(mat[3][2]);
- for (int n = 0; n < count; ++n) {
- dst4[0] = SkMScalarToFloat(mat[0][0] * src2[0] + mat[3][0]);
- dst4[1] = SkMScalarToFloat(mat[1][1] * src2[1] + mat[3][1]);
- dst4[2] = mat32;
- dst4[3] = 1;
- src2 += 2;
- dst4 += 4;
- }
-}
-
-static void map2_sd(const SkMScalar mat[][4], const double* SK_RESTRICT src2,
- int count, double* SK_RESTRICT dst4) {
- for (int n = 0; n < count; ++n) {
- dst4[0] = mat[0][0] * src2[0] + mat[3][0];
- dst4[1] = mat[1][1] * src2[1] + mat[3][1];
- dst4[2] = mat[3][2];
- dst4[3] = 1;
- src2 += 2;
- dst4 += 4;
- }
-}
-
-static void map2_af(const SkMScalar mat[][4], const float* SK_RESTRICT src2,
- int count, float* SK_RESTRICT dst4) {
- SkMScalar r;
- for (int n = 0; n < count; ++n) {
- SkMScalar sx = SkFloatToMScalar(src2[0]);
- SkMScalar sy = SkFloatToMScalar(src2[1]);
- r = mat[0][0] * sx + mat[1][0] * sy + mat[3][0];
- dst4[0] = SkMScalarToFloat(r);
- r = mat[0][1] * sx + mat[1][1] * sy + mat[3][1];
- dst4[1] = SkMScalarToFloat(r);
- r = mat[0][2] * sx + mat[1][2] * sy + mat[3][2];
- dst4[2] = SkMScalarToFloat(r);
- dst4[3] = 1;
- src2 += 2;
- dst4 += 4;
- }
-}
-
-static void map2_ad(const SkMScalar mat[][4], const double* SK_RESTRICT src2,
- int count, double* SK_RESTRICT dst4) {
- for (int n = 0; n < count; ++n) {
- double sx = src2[0];
- double sy = src2[1];
- dst4[0] = mat[0][0] * sx + mat[1][0] * sy + mat[3][0];
- dst4[1] = mat[0][1] * sx + mat[1][1] * sy + mat[3][1];
- dst4[2] = mat[0][2] * sx + mat[1][2] * sy + mat[3][2];
- dst4[3] = 1;
- src2 += 2;
- dst4 += 4;
- }
-}
-
-static void map2_pf(const SkMScalar mat[][4], const float* SK_RESTRICT src2,
- int count, float* SK_RESTRICT dst4) {
- SkMScalar r;
- for (int n = 0; n < count; ++n) {
- SkMScalar sx = SkFloatToMScalar(src2[0]);
- SkMScalar sy = SkFloatToMScalar(src2[1]);
- for (int i = 0; i < 4; i++) {
- r = mat[0][i] * sx + mat[1][i] * sy + mat[3][i];
- dst4[i] = SkMScalarToFloat(r);
- }
- src2 += 2;
- dst4 += 4;
- }
-}
-
-static void map2_pd(const SkMScalar mat[][4], const double* SK_RESTRICT src2,
- int count, double* SK_RESTRICT dst4) {
- for (int n = 0; n < count; ++n) {
- double sx = src2[0];
- double sy = src2[1];
- for (int i = 0; i < 4; i++) {
- dst4[i] = mat[0][i] * sx + mat[1][i] * sy + mat[3][i];
- }
- src2 += 2;
- dst4 += 4;
- }
-}
-
-void SkMatrix44::map2(const float src2[], int count, float dst4[]) const {
- static const Map2Procf gProc[] = {
- map2_if, map2_tf, map2_sf, map2_sf, map2_af, map2_af, map2_af, map2_af
- };
-
- TypeMask mask = this->getType();
- Map2Procf proc = (mask & kPerspective_Mask) ? map2_pf : gProc[mask];
- proc(fMat, src2, count, dst4);
-}
-
-void SkMatrix44::map2(const double src2[], int count, double dst4[]) const {
- static const Map2Procd gProc[] = {
- map2_id, map2_td, map2_sd, map2_sd, map2_ad, map2_ad, map2_ad, map2_ad
- };
-
- TypeMask mask = this->getType();
- Map2Procd proc = (mask & kPerspective_Mask) ? map2_pd : gProc[mask];
- proc(fMat, src2, count, dst4);
-}
-
-bool SkMatrix44::preserves2dAxisAlignment (SkMScalar epsilon) const {
-
- // Can't check (mask & kPerspective_Mask) because Z isn't relevant here.
- if (0 != perspX() || 0 != perspY()) return false;
-
- // A matrix with two non-zeroish values in any of the upper right
- // rows or columns will skew. If only one value in each row or
- // column is non-zeroish, we get a scale plus perhaps a 90-degree
- // rotation.
- int col0 = 0;
- int col1 = 0;
- int row0 = 0;
- int row1 = 0;
-
- // Must test against epsilon, not 0, because we can get values
- // around 6e-17 in the matrix that "should" be 0.
-
- if (SkMScalarAbs(fMat[0][0]) > epsilon) {
- col0++;
- row0++;
- }
- if (SkMScalarAbs(fMat[0][1]) > epsilon) {
- col1++;
- row0++;
- }
- if (SkMScalarAbs(fMat[1][0]) > epsilon) {
- col0++;
- row1++;
- }
- if (SkMScalarAbs(fMat[1][1]) > epsilon) {
- col1++;
- row1++;
- }
- if (col0 > 1 || col1 > 1 || row0 > 1 || row1 > 1) {
- return false;
- }
-
- return true;
-}
-
-///////////////////////////////////////////////////////////////////////////////
-
-void SkMatrix44::dump() const {
- static const char* format =
- "[%g %g %g %g][%g %g %g %g][%g %g %g %g][%g %g %g %g]\n";
-#if 0
- SkDebugf(format,
- fMat[0][0], fMat[1][0], fMat[2][0], fMat[3][0],
- fMat[0][1], fMat[1][1], fMat[2][1], fMat[3][1],
- fMat[0][2], fMat[1][2], fMat[2][2], fMat[3][2],
- fMat[0][3], fMat[1][3], fMat[2][3], fMat[3][3]);
-#else
- SkDebugf(format,
- fMat[0][0], fMat[0][1], fMat[0][2], fMat[0][3],
- fMat[1][0], fMat[1][1], fMat[1][2], fMat[1][3],
- fMat[2][0], fMat[2][1], fMat[2][2], fMat[2][3],
- fMat[3][0], fMat[3][1], fMat[3][2], fMat[3][3]);
-#endif
-}
-
-///////////////////////////////////////////////////////////////////////////////
-
-static void initFromMatrix(SkMScalar dst[4][4], const SkMatrix& src) {
- dst[0][0] = SkScalarToMScalar(src[SkMatrix::kMScaleX]);
- dst[1][0] = SkScalarToMScalar(src[SkMatrix::kMSkewX]);
- dst[2][0] = 0;
- dst[3][0] = SkScalarToMScalar(src[SkMatrix::kMTransX]);
- dst[0][1] = SkScalarToMScalar(src[SkMatrix::kMSkewY]);
- dst[1][1] = SkScalarToMScalar(src[SkMatrix::kMScaleY]);
- dst[2][1] = 0;
- dst[3][1] = SkScalarToMScalar(src[SkMatrix::kMTransY]);
- dst[0][2] = 0;
- dst[1][2] = 0;
- dst[2][2] = 1;
- dst[3][2] = 0;
- dst[0][3] = SkScalarToMScalar(src[SkMatrix::kMPersp0]);
- dst[1][3] = SkScalarToMScalar(src[SkMatrix::kMPersp1]);
- dst[2][3] = 0;
- dst[3][3] = SkScalarToMScalar(src[SkMatrix::kMPersp2]);
-}
-
-SkMatrix44::SkMatrix44(const SkMatrix& src) {
- this->operator=(src);
-}
-
-SkMatrix44& SkMatrix44::operator=(const SkMatrix& src) {
- initFromMatrix(fMat, src);
-
- if (src.isIdentity()) {
- this->setTypeMask(kIdentity_Mask);
- } else {
- this->dirtyTypeMask();
- }
- return *this;
-}
-
-SkMatrix44::operator SkMatrix() const {
- SkMatrix dst;
-
- dst[SkMatrix::kMScaleX] = SkMScalarToScalar(fMat[0][0]);
- dst[SkMatrix::kMSkewX] = SkMScalarToScalar(fMat[1][0]);
- dst[SkMatrix::kMTransX] = SkMScalarToScalar(fMat[3][0]);
-
- dst[SkMatrix::kMSkewY] = SkMScalarToScalar(fMat[0][1]);
- dst[SkMatrix::kMScaleY] = SkMScalarToScalar(fMat[1][1]);
- dst[SkMatrix::kMTransY] = SkMScalarToScalar(fMat[3][1]);
-
- dst[SkMatrix::kMPersp0] = SkMScalarToScalar(fMat[0][3]);
- dst[SkMatrix::kMPersp1] = SkMScalarToScalar(fMat[1][3]);
- dst[SkMatrix::kMPersp2] = SkMScalarToScalar(fMat[3][3]);
-
- return dst;
-}
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