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Diffstat (limited to 'utils/SkMatrix44.cpp')
-rw-r--r-- | utils/SkMatrix44.cpp | 854 |
1 files changed, 854 insertions, 0 deletions
diff --git a/utils/SkMatrix44.cpp b/utils/SkMatrix44.cpp new file mode 100644 index 00000000..92c8715f --- /dev/null +++ b/utils/SkMatrix44.cpp @@ -0,0 +1,854 @@ +/* + * 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() { + sk_bzero(fMat, sizeof(fMat)); + fMat[0][0] = fMat[1][1] = fMat[2][2] = 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; + } + + const double X = SkMScalarToDouble(dx); + const double Y = SkMScalarToDouble(dy); + const double Z = SkMScalarToDouble(dz); + + double tmp; + for (int i = 0; i < 4; ++i) { + tmp = fMat[0][i] * X + fMat[1][i] * Y + fMat[2][i] * Z + fMat[3][i]; + fMat[3][i] = SkDoubleToMScalar(tmp); + } + 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(); +} + +/////////////////////////////////////////////////////////////////////////////// + +static inline SkMScalar det2x2(double m00, double m01, double m10, double m11) { + return SkDoubleToMScalar(m00 * m11 - m10 * m01); +} + +static inline double det3x3(double m00, double m01, double m02, + double m10, double m11, double m12, + double m20, double m21, double m22) { + return m00 * det2x2(m11, m12, m21, m22) - + m10 * det2x2(m01, m02, m21, m22) + + m20 * det2x2(m01, m02, m11, m12); +} + +/** 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; +} + +/////////////////////////////////////////////////////////////////////////////// + +// just picked a small value. not sure how to pick the "right" one +#define TOO_SMALL_FOR_DETERMINANT (1.e-8) + +static inline double dabs(double x) { + if (x < 0) { + x = -x; + } + return x; +} + +bool SkMatrix44::invert(SkMatrix44* inverse) const { + if (this->isIdentity()) { + if (inverse) { + *inverse = *this; + return true; + } + } + if (this->isTranslate()) { + if (inverse) { + inverse->setTranslate(-fMat[3][0], -fMat[3][1], -fMat[3][2]); + } + return true; + } + if (this->isScaleTranslate()) { + if (0 == fMat[0][0] * fMat[1][1] * fMat[2][2]) { + return false; + } + if (inverse) { + sk_bzero(inverse->fMat, sizeof(inverse->fMat)); + + inverse->fMat[3][0] = -fMat[3][0] / fMat[0][0]; + inverse->fMat[3][1] = -fMat[3][1] / fMat[1][1]; + inverse->fMat[3][2] = -fMat[3][2] / fMat[2][2]; + + inverse->fMat[0][0] = 1 / fMat[0][0]; + inverse->fMat[1][1] = 1 / fMat[1][1]; + inverse->fMat[2][2] = 1 / fMat[2][2]; + inverse->fMat[3][3] = 1; + + inverse->setTypeMask(this->getType()); + } + 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]; + + 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; + + if (dabs(det) < TOO_SMALL_FOR_DETERMINANT) { + return false; + } + if (NULL == inverse) { + return true; + } + double invdet = 1.0 / det; + + 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->dirtyTypeMask(); + 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) { + double r; + for (int n = 0; n < count; ++n) { + double sx = src2[0]; + double sy = 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) { + double r; + for (int n = 0; n < count; ++n) { + double sx = src2[0]; + double sy = 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); +} + +/////////////////////////////////////////////////////////////////////////////// + +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 +} + +/////////////////////////////////////////////////////////////////////////////// + +// TODO: make this support src' perspective elements +// +static void initFromMatrix(SkMScalar dst[4][4], const SkMatrix& src) { + sk_bzero(dst, 16 * sizeof(SkMScalar)); + dst[0][0] = SkScalarToMScalar(src[SkMatrix::kMScaleX]); + dst[1][0] = SkScalarToMScalar(src[SkMatrix::kMSkewX]); + dst[3][0] = SkScalarToMScalar(src[SkMatrix::kMTransX]); + dst[0][1] = SkScalarToMScalar(src[SkMatrix::kMSkewY]); + dst[1][1] = SkScalarToMScalar(src[SkMatrix::kMScaleY]); + dst[3][1] = SkScalarToMScalar(src[SkMatrix::kMTransY]); + dst[2][2] = dst[3][3] = 1; +} + +SkMatrix44::SkMatrix44(const SkMatrix& src) { + initFromMatrix(fMat, src); +} + +SkMatrix44& SkMatrix44::operator=(const SkMatrix& src) { + initFromMatrix(fMat, src); + + if (src.isIdentity()) { + this->setTypeMask(kIdentity_Mask); + } else { + this->dirtyTypeMask(); + } + return *this; +} + +// TODO: make this support our perspective elements +// +SkMatrix44::operator SkMatrix() const { + SkMatrix dst; + dst.reset(); // setup our perspective correctly for identity + + 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]); + + return dst; +} |