return 4x4 matrix from SkColorSpace
move SkMatrix44 into core (with alias in utils to transition chrome)
BUG=skia:
GOLD_TRYBOT_URL= https://gold.skia.org/search2?unt=true&query=source_type%3Dgm&master=false&issue=1943833002
Review-Url: https://codereview.chromium.org/1943833002
diff --git a/src/core/SkMatrix44.cpp b/src/core/SkMatrix44.cpp
new file mode 100644
index 0000000..34b5327
--- /dev/null
+++ b/src/core/SkMatrix44.cpp
@@ -0,0 +1,1004 @@
+/*
+ * 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::set3x3ColMajorf(const float src[]) {
+ fMat[0][0] = src[0]; fMat[0][1] = src[3]; fMat[0][2] = src[6]; fMat[0][3] = 0;
+ fMat[1][0] = src[1]; fMat[1][1] = src[4]; fMat[1][2] = src[7]; fMat[1][3] = 0;
+ fMat[2][0] = src[2]; fMat[2][1] = src[5]; fMat[2][2] = src[8]; 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;
+}