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author | The Android Open Source Project <initial-contribution@android.com> | 2009-01-09 17:51:21 -0800 |
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committer | The Android Open Source Project <initial-contribution@android.com> | 2009-01-09 17:51:21 -0800 |
commit | 03202c9c3dfbf8c4feb0a1ee9b3680817e633f58 (patch) | |
tree | 1d0ba7cbf3e77c239527697ac455312b216c434e /src/core/SkMatrix.cpp | |
parent | 37df15a82319228ae28fe5d99c010b288aad7091 (diff) | |
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auto import from //branches/cupcake/...@125939
Diffstat (limited to 'src/core/SkMatrix.cpp')
-rw-r--r-- | src/core/SkMatrix.cpp | 1690 |
1 files changed, 1690 insertions, 0 deletions
diff --git a/src/core/SkMatrix.cpp b/src/core/SkMatrix.cpp new file mode 100644 index 0000000..893aea1 --- /dev/null +++ b/src/core/SkMatrix.cpp @@ -0,0 +1,1690 @@ +/* libs/corecg/SkMatrix.cpp +** +** Copyright 2006, The Android Open Source Project +** +** Licensed under the Apache License, Version 2.0 (the "License"); +** you may not use this file except in compliance with the License. +** You may obtain a copy of the License at +** +** http://www.apache.org/licenses/LICENSE-2.0 +** +** Unless required by applicable law or agreed to in writing, software +** distributed under the License is distributed on an "AS IS" BASIS, +** WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +** See the License for the specific language governing permissions and +** limitations under the License. +*/ + +#include "SkMatrix.h" +#include "Sk64.h" +#include "SkFloatBits.h" +#include "SkString.h" + +#ifdef SK_SCALAR_IS_FLOAT + #define kMatrix22Elem SK_Scalar1 +#else + #define kMatrix22Elem SK_Fract1 +#endif + +/* [scale-x skew-x trans-x] [X] [X'] + [skew-y scale-y trans-y] * [Y] = [Y'] + [persp-0 persp-1 persp-2] [1] [1 ] +*/ + +void SkMatrix::reset() { + fMat[kMScaleX] = fMat[kMScaleY] = SK_Scalar1; + fMat[kMSkewX] = fMat[kMSkewY] = + fMat[kMTransX] = fMat[kMTransY] = + fMat[kMPersp0] = fMat[kMPersp1] = 0; + fMat[kMPersp2] = kMatrix22Elem; + + this->setTypeMask(kIdentity_Mask | kRectStaysRect_Mask); +} + +static inline int has_perspective(const SkMatrix& matrix) { + return matrix.getType() & SkMatrix::kPerspective_Mask; +} + +// this guy aligns with the masks, so we can compute a mask from a varaible 0/1 +enum { + kTranslate_Shift, + kScale_Shift, + kAffine_Shift, + kPerspective_Shift, + kRectStaysRect_Shift +}; + +#ifdef SK_SCALAR_IS_FLOAT + static const int32_t kScalar1Int = 0x3f800000; + static const int32_t kPersp1Int = 0x3f800000; +#else + #define scalarAsInt(x) (x) + static const int32_t kScalar1Int = (1 << 16); + static const int32_t kPersp1Int = (1 << 30); +#endif + +uint8_t SkMatrix::computeTypeMask() const { + unsigned mask = 0; + + if (SkScalarAs2sCompliment(fMat[kMPersp0]) | + SkScalarAs2sCompliment(fMat[kMPersp1]) | + (SkScalarAs2sCompliment(fMat[kMPersp2]) - kPersp1Int)) { + mask |= kPerspective_Mask; + } + + if (SkScalarAs2sCompliment(fMat[kMTransX]) | + SkScalarAs2sCompliment(fMat[kMTransY])) { + mask |= kTranslate_Mask; + } + + int m00 = SkScalarAs2sCompliment(fMat[SkMatrix::kMScaleX]); + int m01 = SkScalarAs2sCompliment(fMat[SkMatrix::kMSkewX]); + int m10 = SkScalarAs2sCompliment(fMat[SkMatrix::kMSkewY]); + int m11 = SkScalarAs2sCompliment(fMat[SkMatrix::kMScaleY]); + + if (m01 | m10) { + mask |= kAffine_Mask; + } + + if ((m00 - kScalar1Int) | (m11 - kScalar1Int)) { + mask |= kScale_Mask; + } + + if ((mask & kPerspective_Mask) == 0) { + // map non-zero to 1 + m00 = m00 != 0; + m01 = m01 != 0; + m10 = m10 != 0; + m11 = m11 != 0; + + // record if the (p)rimary and (s)econdary diagonals are all 0 or + // all non-zero (answer is 0 or 1) + int dp0 = (m00 | m11) ^ 1; // true if both are 0 + int dp1 = m00 & m11; // true if both are 1 + int ds0 = (m01 | m10) ^ 1; // true if both are 0 + int ds1 = m01 & m10; // true if both are 1 + + // return 1 if primary is 1 and secondary is 0 or + // primary is 0 and secondary is 1 + mask |= ((dp0 & ds1) | (dp1 & ds0)) << kRectStaysRect_Shift; + } + + return SkToU8(mask); +} + +/////////////////////////////////////////////////////////////////////////////// + +void SkMatrix::setTranslate(SkScalar dx, SkScalar dy) { + if (SkScalarAs2sCompliment(dx) | SkScalarAs2sCompliment(dy)) { + fMat[kMTransX] = dx; + fMat[kMTransY] = dy; + + fMat[kMScaleX] = fMat[kMScaleY] = SK_Scalar1; + fMat[kMSkewX] = fMat[kMSkewY] = + fMat[kMPersp0] = fMat[kMPersp1] = 0; + fMat[kMPersp2] = kMatrix22Elem; + + this->setTypeMask(kTranslate_Mask | kRectStaysRect_Mask); + } else { + this->reset(); + } +} + +bool SkMatrix::preTranslate(SkScalar dx, SkScalar dy) { + if (has_perspective(*this)) { + SkMatrix m; + m.setTranslate(dx, dy); + return this->preConcat(m); + } + + if (SkScalarAs2sCompliment(dx) | SkScalarAs2sCompliment(dy)) { + fMat[kMTransX] += SkScalarMul(fMat[kMScaleX], dx) + + SkScalarMul(fMat[kMSkewX], dy); + fMat[kMTransY] += SkScalarMul(fMat[kMSkewY], dx) + + SkScalarMul(fMat[kMScaleY], dy); + + this->setTypeMask(kUnknown_Mask); + } + return true; +} + +bool SkMatrix::postTranslate(SkScalar dx, SkScalar dy) { + if (has_perspective(*this)) { + SkMatrix m; + m.setTranslate(dx, dy); + return this->postConcat(m); + } + + if (SkScalarAs2sCompliment(dx) | SkScalarAs2sCompliment(dy)) { + fMat[kMTransX] += dx; + fMat[kMTransY] += dy; + this->setTypeMask(kUnknown_Mask); + } + return true; +} + +/////////////////////////////////////////////////////////////////////////////// + +void SkMatrix::setScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { + fMat[kMScaleX] = sx; + fMat[kMScaleY] = sy; + fMat[kMTransX] = px - SkScalarMul(sx, px); + fMat[kMTransY] = py - SkScalarMul(sy, py); + fMat[kMPersp2] = kMatrix22Elem; + + fMat[kMSkewX] = fMat[kMSkewY] = + fMat[kMPersp0] = fMat[kMPersp1] = 0; + + this->setTypeMask(kScale_Mask | kTranslate_Mask | kRectStaysRect_Mask); +} + +void SkMatrix::setScale(SkScalar sx, SkScalar sy) { + fMat[kMScaleX] = sx; + fMat[kMScaleY] = sy; + fMat[kMPersp2] = kMatrix22Elem; + + fMat[kMTransX] = fMat[kMTransY] = + fMat[kMSkewX] = fMat[kMSkewY] = + fMat[kMPersp0] = fMat[kMPersp1] = 0; + + this->setTypeMask(kScale_Mask | kRectStaysRect_Mask); +} + +bool SkMatrix::preScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { + SkMatrix m; + m.setScale(sx, sy, px, py); + return this->preConcat(m); +} + +bool SkMatrix::preScale(SkScalar sx, SkScalar sy) { + SkMatrix m; + m.setScale(sx, sy); + return this->preConcat(m); +} + +bool SkMatrix::postScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { + SkMatrix m; + m.setScale(sx, sy, px, py); + return this->postConcat(m); +} + +bool SkMatrix::postScale(SkScalar sx, SkScalar sy) { + SkMatrix m; + m.setScale(sx, sy); + return this->postConcat(m); +} + +#ifdef SK_SCALAR_IS_FIXED + static inline SkFixed roundidiv(SkFixed numer, int denom) { + int ns = numer >> 31; + int ds = denom >> 31; + numer = (numer ^ ns) - ns; + denom = (denom ^ ds) - ds; + + SkFixed answer = (numer + (denom >> 1)) / denom; + int as = ns ^ ds; + return (answer ^ as) - as; + } +#endif + +// this guy perhaps can go away, if we have a fract/high-precision way to +// scale matrices +bool SkMatrix::postIDiv(int divx, int divy) { + if (divx == 0 || divy == 0) { + return false; + } + +#ifdef SK_SCALAR_IS_FIXED + fMat[kMScaleX] = roundidiv(fMat[kMScaleX], divx); + fMat[kMSkewX] = roundidiv(fMat[kMSkewX], divx); + fMat[kMTransX] = roundidiv(fMat[kMTransX], divx); + + fMat[kMScaleY] = roundidiv(fMat[kMScaleY], divy); + fMat[kMSkewY] = roundidiv(fMat[kMSkewY], divy); + fMat[kMTransY] = roundidiv(fMat[kMTransY], divy); +#else + const float invX = 1.f / divx; + const float invY = 1.f / divy; + + fMat[kMScaleX] *= invX; + fMat[kMSkewX] *= invX; + fMat[kMTransX] *= invX; + + fMat[kMScaleY] *= invY; + fMat[kMSkewY] *= invY; + fMat[kMTransY] *= invY; +#endif + + this->setTypeMask(kUnknown_Mask); + return true; +} + +//////////////////////////////////////////////////////////////////////////////////// + +void SkMatrix::setSinCos(SkScalar sinV, SkScalar cosV, + SkScalar px, SkScalar py) { + const SkScalar oneMinusCosV = SK_Scalar1 - cosV; + + fMat[kMScaleX] = cosV; + fMat[kMSkewX] = -sinV; + fMat[kMTransX] = SkScalarMul(sinV, py) + SkScalarMul(oneMinusCosV, px); + + fMat[kMSkewY] = sinV; + fMat[kMScaleY] = cosV; + fMat[kMTransY] = SkScalarMul(-sinV, px) + SkScalarMul(oneMinusCosV, py); + + fMat[kMPersp0] = fMat[kMPersp1] = 0; + fMat[kMPersp2] = kMatrix22Elem; + + this->setTypeMask(kUnknown_Mask); +} + +void SkMatrix::setSinCos(SkScalar sinV, SkScalar cosV) { + fMat[kMScaleX] = cosV; + fMat[kMSkewX] = -sinV; + fMat[kMTransX] = 0; + + fMat[kMSkewY] = sinV; + fMat[kMScaleY] = cosV; + fMat[kMTransY] = 0; + + fMat[kMPersp0] = fMat[kMPersp1] = 0; + fMat[kMPersp2] = kMatrix22Elem; + + this->setTypeMask(kUnknown_Mask); +} + +void SkMatrix::setRotate(SkScalar degrees, SkScalar px, SkScalar py) { + SkScalar sinV, cosV; + sinV = SkScalarSinCos(SkDegreesToRadians(degrees), &cosV); + this->setSinCos(sinV, cosV, px, py); +} + +void SkMatrix::setRotate(SkScalar degrees) { + SkScalar sinV, cosV; + sinV = SkScalarSinCos(SkDegreesToRadians(degrees), &cosV); + this->setSinCos(sinV, cosV); +} + +bool SkMatrix::preRotate(SkScalar degrees, SkScalar px, SkScalar py) { + SkMatrix m; + m.setRotate(degrees, px, py); + return this->preConcat(m); +} + +bool SkMatrix::preRotate(SkScalar degrees) { + SkMatrix m; + m.setRotate(degrees); + return this->preConcat(m); +} + +bool SkMatrix::postRotate(SkScalar degrees, SkScalar px, SkScalar py) { + SkMatrix m; + m.setRotate(degrees, px, py); + return this->postConcat(m); +} + +bool SkMatrix::postRotate(SkScalar degrees) { + SkMatrix m; + m.setRotate(degrees); + return this->postConcat(m); +} + +//////////////////////////////////////////////////////////////////////////////////// + +void SkMatrix::setSkew(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { + fMat[kMScaleX] = SK_Scalar1; + fMat[kMSkewX] = sx; + fMat[kMTransX] = SkScalarMul(-sx, py); + + fMat[kMSkewY] = sy; + fMat[kMScaleY] = SK_Scalar1; + fMat[kMTransY] = SkScalarMul(-sy, px); + + fMat[kMPersp0] = fMat[kMPersp1] = 0; + fMat[kMPersp2] = kMatrix22Elem; + + this->setTypeMask(kUnknown_Mask); +} + +void SkMatrix::setSkew(SkScalar sx, SkScalar sy) { + fMat[kMScaleX] = SK_Scalar1; + fMat[kMSkewX] = sx; + fMat[kMTransX] = 0; + + fMat[kMSkewY] = sy; + fMat[kMScaleY] = SK_Scalar1; + fMat[kMTransY] = 0; + + fMat[kMPersp0] = fMat[kMPersp1] = 0; + fMat[kMPersp2] = kMatrix22Elem; + + this->setTypeMask(kUnknown_Mask); +} + +bool SkMatrix::preSkew(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { + SkMatrix m; + m.setSkew(sx, sy, px, py); + return this->preConcat(m); +} + +bool SkMatrix::preSkew(SkScalar sx, SkScalar sy) { + SkMatrix m; + m.setSkew(sx, sy); + return this->preConcat(m); +} + +bool SkMatrix::postSkew(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { + SkMatrix m; + m.setSkew(sx, sy, px, py); + return this->postConcat(m); +} + +bool SkMatrix::postSkew(SkScalar sx, SkScalar sy) { + SkMatrix m; + m.setSkew(sx, sy); + return this->postConcat(m); +} + +/////////////////////////////////////////////////////////////////////////////// + +bool SkMatrix::setRectToRect(const SkRect& src, const SkRect& dst, + ScaleToFit align) +{ + if (src.isEmpty()) { + this->reset(); + return false; + } + + if (dst.isEmpty()) { + bzero(fMat, 8 * sizeof(SkScalar)); + this->setTypeMask(kScale_Mask | kRectStaysRect_Mask); + } else { + SkScalar tx, sx = SkScalarDiv(dst.width(), src.width()); + SkScalar ty, sy = SkScalarDiv(dst.height(), src.height()); + bool xLarger = false; + + if (align != kFill_ScaleToFit) { + if (sx > sy) { + xLarger = true; + sx = sy; + } else { + sy = sx; + } + } + + tx = dst.fLeft - SkScalarMul(src.fLeft, sx); + ty = dst.fTop - SkScalarMul(src.fTop, sy); + if (align == kCenter_ScaleToFit || align == kEnd_ScaleToFit) { + SkScalar diff; + + if (xLarger) { + diff = dst.width() - SkScalarMul(src.width(), sy); + } else { + diff = dst.height() - SkScalarMul(src.height(), sy); + } + + if (align == kCenter_ScaleToFit) { + diff = SkScalarHalf(diff); + } + + if (xLarger) { + tx += diff; + } else { + ty += diff; + } + } + + fMat[kMScaleX] = sx; + fMat[kMScaleY] = sy; + fMat[kMTransX] = tx; + fMat[kMTransY] = ty; + fMat[kMSkewX] = fMat[kMSkewY] = + fMat[kMPersp0] = fMat[kMPersp1] = 0; + + this->setTypeMask(kScale_Mask | kTranslate_Mask | kRectStaysRect_Mask); + } + // shared cleanup + fMat[kMPersp2] = kMatrix22Elem; + return true; +} + +/////////////////////////////////////////////////////////////////////////////// + +#ifdef SK_SCALAR_IS_FLOAT + static inline int fixmuladdmul(float a, float b, float c, float d, + float* result) { + *result = a * b + c * d; + return true; + } + + static inline int fixmuladdmulshiftmul(float a, float b, float c, float d, + int /*shift not used*/, float scale, float* result) { + *result = (a * b + c * d) * scale; + return true; + } + + static inline bool rowcol3(const float row[], const float col[], + float* result) { + *result = row[0] * col[0] + row[1] * col[3] + row[2] * col[6]; + return true; + } + + static inline int negifaddoverflows(float& result, float a, float b) { + result = a + b; + return 0; + } +#else + static inline bool fixmuladdmul(SkFixed a, SkFixed b, SkFixed c, SkFixed d, + SkFixed* result) { + Sk64 tmp1, tmp2; + tmp1.setMul(a, b); + tmp2.setMul(c, d); + tmp1.add(tmp2); + if (tmp1.isFixed()) { + *result = tmp1.getFixed(); + return true; + } + return false; + } + + static inline bool fixmuladdmulshiftmul(SkFixed a, SkFixed b, SkFixed c, + SkFixed d, int shift, SkFixed scale, SkFixed* result) { + Sk64 tmp1, tmp2; + tmp1.setMul(a, b); + tmp2.setMul(c, d); + tmp1.add(tmp2); + + int32_t hi = SkAbs32(tmp1.fHi); + int afterShift = 16; + if (hi >> 15) { + int clz = 17 - SkCLZ(hi); + SkASSERT(clz > 0 && clz <= 16); + afterShift -= clz; + shift += clz; + } + + tmp1.roundRight(shift + 16); + SkASSERT(tmp1.is32()); + + tmp1.setMul(tmp1.get32(), scale); + tmp1.roundRight(afterShift); + if (tmp1.is32()) { + *result = tmp1.get32(); + return true; + } + return false; + } + + static inline SkFixed fracmuladdmul(SkFixed a, SkFract b, SkFixed c, + SkFract d) { + Sk64 tmp1, tmp2; + tmp1.setMul(a, b); + tmp2.setMul(c, d); + tmp1.add(tmp2); + return tmp1.getFract(); + } + + static inline bool rowcol3(const SkFixed row[], const SkFixed col[], + SkFixed* result) { + Sk64 tmp1, tmp2; + + tmp1.setMul(row[0], col[0]); // N * fixed + tmp2.setMul(row[1], col[3]); // N * fixed + tmp1.add(tmp2); + + tmp2.setMul(row[2], col[6]); // N * fract + tmp2.roundRight(14); // make it fixed + tmp1.add(tmp2); + + if (tmp1.isFixed()) { + *result = tmp1.getFixed(); + return true; + } + return false; + } + + static inline int negifaddoverflows(SkFixed& result, SkFixed a, SkFixed b) { + SkFixed c = a + b; + result = c; + return (c ^ a) & (c ^ b); + } +#endif + +static void normalize_perspective(SkScalar mat[9]) { + if (SkScalarAbs(mat[SkMatrix::kMPersp2]) > kMatrix22Elem) { + for (int i = 0; i < 9; i++) + mat[i] = SkScalarHalf(mat[i]); + } +} + +bool SkMatrix::setConcat(const SkMatrix& a, const SkMatrix& b) { + TypeMask aType = a.getType(); + TypeMask bType = b.getType(); + + if (0 == aType) { + *this = b; + } else if (0 == bType) { + *this = a; + } else { + SkMatrix tmp; + + if ((aType | bType) & kPerspective_Mask) { + if (!rowcol3(&a.fMat[0], &b.fMat[0], &tmp.fMat[kMScaleX])) { + return false; + } + if (!rowcol3(&a.fMat[0], &b.fMat[1], &tmp.fMat[kMSkewX])) { + return false; + } + if (!rowcol3(&a.fMat[0], &b.fMat[2], &tmp.fMat[kMTransX])) { + return false; + } + + if (!rowcol3(&a.fMat[3], &b.fMat[0], &tmp.fMat[kMSkewY])) { + return false; + } + if (!rowcol3(&a.fMat[3], &b.fMat[1], &tmp.fMat[kMScaleY])) { + return false; + } + if (!rowcol3(&a.fMat[3], &b.fMat[2], &tmp.fMat[kMTransY])) { + return false; + } + + if (!rowcol3(&a.fMat[6], &b.fMat[0], &tmp.fMat[kMPersp0])) { + return false; + } + if (!rowcol3(&a.fMat[6], &b.fMat[1], &tmp.fMat[kMPersp1])) { + return false; + } + if (!rowcol3(&a.fMat[6], &b.fMat[2], &tmp.fMat[kMPersp2])) { + return false; + } + + normalize_perspective(tmp.fMat); + } else { // not perspective + if (!fixmuladdmul(a.fMat[kMScaleX], b.fMat[kMScaleX], + a.fMat[kMSkewX], b.fMat[kMSkewY], &tmp.fMat[kMScaleX])) { + return false; + } + if (!fixmuladdmul(a.fMat[kMScaleX], b.fMat[kMSkewX], + a.fMat[kMSkewX], b.fMat[kMScaleY], &tmp.fMat[kMSkewX])) { + return false; + } + if (!fixmuladdmul(a.fMat[kMScaleX], b.fMat[kMTransX], + a.fMat[kMSkewX], b.fMat[kMTransY], &tmp.fMat[kMTransX])) { + return false; + } + if (negifaddoverflows(tmp.fMat[kMTransX], tmp.fMat[kMTransX], + a.fMat[kMTransX]) < 0) { + return false; + } + + if (!fixmuladdmul(a.fMat[kMSkewY], b.fMat[kMScaleX], + a.fMat[kMScaleY], b.fMat[kMSkewY], &tmp.fMat[kMSkewY])) { + return false; + } + if (!fixmuladdmul(a.fMat[kMSkewY], b.fMat[kMSkewX], + a.fMat[kMScaleY], b.fMat[kMScaleY], &tmp.fMat[kMScaleY])) { + return false; + } + if (!fixmuladdmul(a.fMat[kMSkewY], b.fMat[kMTransX], + a.fMat[kMScaleY], b.fMat[kMTransY], &tmp.fMat[kMTransY])) { + return false; + } + if (negifaddoverflows(tmp.fMat[kMTransY], tmp.fMat[kMTransY], + a.fMat[kMTransY]) < 0) { + return false; + } + + tmp.fMat[kMPersp0] = tmp.fMat[kMPersp1] = 0; + tmp.fMat[kMPersp2] = kMatrix22Elem; + } + *this = tmp; + } + this->setTypeMask(kUnknown_Mask); + return true; +} + +bool SkMatrix::preConcat(const SkMatrix& mat) { + // check for identity first, so we don't do a needless copy of ourselves + // to ourselves inside setConcat() + return mat.isIdentity() || this->setConcat(*this, mat); +} + +bool SkMatrix::postConcat(const SkMatrix& mat) { + // check for identity first, so we don't do a needless copy of ourselves + // to ourselves inside setConcat() + return mat.isIdentity() || this->setConcat(mat, *this); +} + +/////////////////////////////////////////////////////////////////////////////// + +#ifdef SK_SCALAR_IS_FLOAT + #define SkPerspMul(a, b) SkScalarMul(a, b) + #define SkScalarMulShift(a, b, s) SkScalarMul(a, b) + static float sk_inv_determinant(const float mat[9], int isPerspective, + int* /* (only used in Fixed case) */) { + double det; + + if (isPerspective) { + det = mat[SkMatrix::kMScaleX] * ((double)mat[SkMatrix::kMScaleY] * mat[SkMatrix::kMPersp2] - (double)mat[SkMatrix::kMTransY] * mat[SkMatrix::kMPersp1]) + + mat[SkMatrix::kMSkewX] * ((double)mat[SkMatrix::kMTransY] * mat[SkMatrix::kMPersp0] - (double)mat[SkMatrix::kMSkewY] * mat[SkMatrix::kMPersp2]) + + mat[SkMatrix::kMTransX] * ((double)mat[SkMatrix::kMSkewY] * mat[SkMatrix::kMPersp1] - (double)mat[SkMatrix::kMScaleY] * mat[SkMatrix::kMPersp0]); + } else { + det = (double)mat[SkMatrix::kMScaleX] * mat[SkMatrix::kMScaleY] - (double)mat[SkMatrix::kMSkewX] * mat[SkMatrix::kMSkewY]; + } + + // Since the determinant is on the order of the square of the matrix members, + // compare to the square of the default nearly-zero constant + if (SkScalarNearlyZero((float)det, SK_ScalarNearlyZero * SK_ScalarNearlyZero)) { + return 0; + } + return (float)(1.0 / det); + } +#else + #define SkPerspMul(a, b) SkFractMul(a, b) + #define SkScalarMulShift(a, b, s) SkMulShift(a, b, s) + static void set_muladdmul(Sk64* dst, int32_t a, int32_t b, int32_t c, + int32_t d) { + Sk64 tmp; + dst->setMul(a, b); + tmp.setMul(c, d); + dst->add(tmp); + } + + static SkFixed sk_inv_determinant(const SkFixed mat[9], int isPerspective, + int* shift) { + Sk64 tmp1, tmp2; + + if (isPerspective) { + tmp1.setMul(mat[SkMatrix::kMScaleX], fracmuladdmul(mat[SkMatrix::kMScaleY], mat[SkMatrix::kMPersp2], -mat[SkMatrix::kMTransY], mat[SkMatrix::kMPersp1])); + tmp2.setMul(mat[SkMatrix::kMSkewX], fracmuladdmul(mat[SkMatrix::kMTransY], mat[SkMatrix::kMPersp0], -mat[SkMatrix::kMSkewY], mat[SkMatrix::kMPersp2])); + tmp1.add(tmp2); + tmp2.setMul(mat[SkMatrix::kMTransX], fracmuladdmul(mat[SkMatrix::kMSkewY], mat[SkMatrix::kMPersp1], -mat[SkMatrix::kMScaleY], mat[SkMatrix::kMPersp0])); + tmp1.add(tmp2); + } else { + tmp1.setMul(mat[SkMatrix::kMScaleX], mat[SkMatrix::kMScaleY]); + tmp2.setMul(mat[SkMatrix::kMSkewX], mat[SkMatrix::kMSkewY]); + tmp1.sub(tmp2); + } + + int s = tmp1.getClzAbs(); + *shift = s; + + SkFixed denom; + if (s <= 32) { + denom = tmp1.getShiftRight(33 - s); + } else { + denom = (int32_t)tmp1.fLo << (s - 33); + } + + if (denom == 0) { + return 0; + } + /** This could perhaps be a special fractdiv function, since both of its + arguments are known to have bit 31 clear and bit 30 set (when they + are made positive), thus eliminating the need for calling clz() + */ + return SkFractDiv(SK_Fract1, denom); + } +#endif + +bool SkMatrix::invert(SkMatrix* inv) const { + int isPersp = has_perspective(*this); + int shift; + SkScalar scale = sk_inv_determinant(fMat, isPersp, &shift); + + if (scale == 0) { // underflow + return false; + } + + if (inv) { + SkMatrix tmp; + if (inv == this) + inv = &tmp; + + if (isPersp) { + shift = 61 - shift; + inv->fMat[kMScaleX] = SkScalarMulShift(SkPerspMul(fMat[kMScaleY], fMat[kMPersp2]) - SkPerspMul(fMat[kMTransY], fMat[kMPersp1]), scale, shift); + inv->fMat[kMSkewX] = SkScalarMulShift(SkPerspMul(fMat[kMTransX], fMat[kMPersp1]) - SkPerspMul(fMat[kMSkewX], fMat[kMPersp2]), scale, shift); + inv->fMat[kMTransX] = SkScalarMulShift(SkScalarMul(fMat[kMSkewX], fMat[kMTransY]) - SkScalarMul(fMat[kMTransX], fMat[kMScaleY]), scale, shift); + + inv->fMat[kMSkewY] = SkScalarMulShift(SkPerspMul(fMat[kMTransY], fMat[kMPersp0]) - SkPerspMul(fMat[kMSkewY], fMat[kMPersp2]), scale, shift); + inv->fMat[kMScaleY] = SkScalarMulShift(SkPerspMul(fMat[kMScaleX], fMat[kMPersp2]) - SkPerspMul(fMat[kMTransX], fMat[kMPersp0]), scale, shift); + inv->fMat[kMTransY] = SkScalarMulShift(SkScalarMul(fMat[kMTransX], fMat[kMSkewY]) - SkScalarMul(fMat[kMScaleX], fMat[kMTransY]), scale, shift); + + inv->fMat[kMPersp0] = SkScalarMulShift(SkScalarMul(fMat[kMSkewY], fMat[kMPersp1]) - SkScalarMul(fMat[kMScaleY], fMat[kMPersp0]), scale, shift); + inv->fMat[kMPersp1] = SkScalarMulShift(SkScalarMul(fMat[kMSkewX], fMat[kMPersp0]) - SkScalarMul(fMat[kMScaleX], fMat[kMPersp1]), scale, shift); + inv->fMat[kMPersp2] = SkScalarMulShift(SkScalarMul(fMat[kMScaleX], fMat[kMScaleY]) - SkScalarMul(fMat[kMSkewX], fMat[kMSkewY]), scale, shift); +#ifdef SK_SCALAR_IS_FIXED + if (SkAbs32(inv->fMat[kMPersp2]) > SK_Fixed1) { + Sk64 tmp; + + tmp.set(SK_Fract1); + tmp.shiftLeft(16); + tmp.div(inv->fMat[kMPersp2], Sk64::kRound_DivOption); + + SkFract scale = tmp.get32(); + + for (int i = 0; i < 9; i++) { + inv->fMat[i] = SkFractMul(inv->fMat[i], scale); + } + } + inv->fMat[kMPersp2] = SkFixedToFract(inv->fMat[kMPersp2]); +#endif + } else { // not perspective +#ifdef SK_SCALAR_IS_FIXED + Sk64 tx, ty; + int clzNumer; + + // check the 2x2 for overflow + { + int32_t value = SkAbs32(fMat[kMScaleY]); + value |= SkAbs32(fMat[kMSkewX]); + value |= SkAbs32(fMat[kMScaleX]); + value |= SkAbs32(fMat[kMSkewY]); + clzNumer = SkCLZ(value); + if (shift - clzNumer > 31) + return false; // overflow + } + + set_muladdmul(&tx, fMat[kMSkewX], fMat[kMTransY], -fMat[kMScaleY], fMat[kMTransX]); + set_muladdmul(&ty, fMat[kMSkewY], fMat[kMTransX], -fMat[kMScaleX], fMat[kMTransY]); + // check tx,ty for overflow + clzNumer = SkCLZ(SkAbs32(tx.fHi) | SkAbs32(ty.fHi)); + if (shift - clzNumer > 14) { + return false; // overflow + } + + int fixedShift = 61 - shift; + int sk64shift = 44 - shift + clzNumer; + + inv->fMat[kMScaleX] = SkMulShift(fMat[kMScaleY], scale, fixedShift); + inv->fMat[kMSkewX] = SkMulShift(-fMat[kMSkewX], scale, fixedShift); + inv->fMat[kMTransX] = SkMulShift(tx.getShiftRight(33 - clzNumer), scale, sk64shift); + + inv->fMat[kMSkewY] = SkMulShift(-fMat[kMSkewY], scale, fixedShift); + inv->fMat[kMScaleY] = SkMulShift(fMat[kMScaleX], scale, fixedShift); + inv->fMat[kMTransY] = SkMulShift(ty.getShiftRight(33 - clzNumer), scale, sk64shift); +#else + inv->fMat[kMScaleX] = SkScalarMul(fMat[kMScaleY], scale); + inv->fMat[kMSkewX] = SkScalarMul(-fMat[kMSkewX], scale); + if (!fixmuladdmulshiftmul(fMat[kMSkewX], fMat[kMTransY], -fMat[kMScaleY], fMat[kMTransX], shift, scale, &inv->fMat[kMTransX])) { + return false; + } + + inv->fMat[kMSkewY] = SkScalarMul(-fMat[kMSkewY], scale); + inv->fMat[kMScaleY] = SkScalarMul(fMat[kMScaleX], scale); + if (!fixmuladdmulshiftmul(fMat[kMSkewY], fMat[kMTransX], -fMat[kMScaleX], fMat[kMTransY], shift, scale, &inv->fMat[kMTransY])) { + return false; + } +#endif + inv->fMat[kMPersp0] = 0; + inv->fMat[kMPersp1] = 0; + inv->fMat[kMPersp2] = kMatrix22Elem; + } + + if (inv == &tmp) { + *(SkMatrix*)this = tmp; + } + inv->setTypeMask(kUnknown_Mask); + } + return true; +} + +/////////////////////////////////////////////////////////////////////////////// + +void SkMatrix::Identity_pts(const SkMatrix& m, SkPoint dst[], + const SkPoint src[], int count) { + SkASSERT(m.getType() == 0); + + if (dst != src && count > 0) + memcpy(dst, src, count * sizeof(SkPoint)); +} + +void SkMatrix::Trans_pts(const SkMatrix& m, SkPoint dst[], + const SkPoint src[], int count) { + SkASSERT(m.getType() == kTranslate_Mask); + + if (count > 0) { + SkScalar tx = m.fMat[kMTransX]; + SkScalar ty = m.fMat[kMTransY]; + do { + dst->fY = src->fY + ty; + dst->fX = src->fX + tx; + src += 1; + dst += 1; + } while (--count); + } +} + +void SkMatrix::Scale_pts(const SkMatrix& m, SkPoint dst[], + const SkPoint src[], int count) { + SkASSERT(m.getType() == kScale_Mask); + + if (count > 0) { + SkScalar mx = m.fMat[kMScaleX]; + SkScalar my = m.fMat[kMScaleY]; + do { + dst->fY = SkScalarMul(src->fY, my); + dst->fX = SkScalarMul(src->fX, mx); + src += 1; + dst += 1; + } while (--count); + } +} + +void SkMatrix::ScaleTrans_pts(const SkMatrix& m, SkPoint dst[], + const SkPoint src[], int count) { + SkASSERT(m.getType() == (kScale_Mask | kTranslate_Mask)); + + if (count > 0) { + SkScalar mx = m.fMat[kMScaleX]; + SkScalar my = m.fMat[kMScaleY]; + SkScalar tx = m.fMat[kMTransX]; + SkScalar ty = m.fMat[kMTransY]; + do { + dst->fY = SkScalarMulAdd(src->fY, my, ty); + dst->fX = SkScalarMulAdd(src->fX, mx, tx); + src += 1; + dst += 1; + } while (--count); + } +} + +void SkMatrix::Rot_pts(const SkMatrix& m, SkPoint dst[], + const SkPoint src[], int count) { + SkASSERT((m.getType() & (kPerspective_Mask | kTranslate_Mask)) == 0); + + if (count > 0) { + SkScalar mx = m.fMat[kMScaleX]; + SkScalar my = m.fMat[kMScaleY]; + SkScalar kx = m.fMat[kMSkewX]; + SkScalar ky = m.fMat[kMSkewY]; + do { + SkScalar sy = src->fY; + SkScalar sx = src->fX; + src += 1; + dst->fY = SkScalarMul(sx, ky) + SkScalarMul(sy, my); + dst->fX = SkScalarMul(sx, mx) + SkScalarMul(sy, kx); + dst += 1; + } while (--count); + } +} + +void SkMatrix::RotTrans_pts(const SkMatrix& m, SkPoint dst[], + const SkPoint src[], int count) { + SkASSERT((m.getType() & kPerspective_Mask) == 0); + + if (count > 0) { + SkScalar mx = m.fMat[kMScaleX]; + SkScalar my = m.fMat[kMScaleY]; + SkScalar kx = m.fMat[kMSkewX]; + SkScalar ky = m.fMat[kMSkewY]; + SkScalar tx = m.fMat[kMTransX]; + SkScalar ty = m.fMat[kMTransY]; + do { + SkScalar sy = src->fY; + SkScalar sx = src->fX; + src += 1; + dst->fY = SkScalarMul(sx, ky) + SkScalarMulAdd(sy, my, ty); + dst->fX = SkScalarMul(sx, mx) + SkScalarMulAdd(sy, kx, tx); + dst += 1; + } while (--count); + } +} + +void SkMatrix::Persp_pts(const SkMatrix& m, SkPoint dst[], + const SkPoint src[], int count) { + SkASSERT(m.getType() & kPerspective_Mask); + +#ifdef SK_SCALAR_IS_FIXED + SkFixed persp2 = SkFractToFixed(m.fMat[kMPersp2]); +#endif + + if (count > 0) { + do { + SkScalar sy = src->fY; + SkScalar sx = src->fX; + src += 1; + + SkScalar x = SkScalarMul(sx, m.fMat[kMScaleX]) + + SkScalarMul(sy, m.fMat[kMSkewX]) + m.fMat[kMTransX]; + SkScalar y = SkScalarMul(sx, m.fMat[kMSkewY]) + + SkScalarMul(sy, m.fMat[kMScaleY]) + m.fMat[kMTransY]; +#ifdef SK_SCALAR_IS_FIXED + SkFixed z = SkFractMul(sx, m.fMat[kMPersp0]) + + SkFractMul(sy, m.fMat[kMPersp1]) + persp2; +#else + float z = SkScalarMul(sx, m.fMat[kMPersp0]) + + SkScalarMulAdd(sy, m.fMat[kMPersp1], m.fMat[kMPersp2]); +#endif + if (z) { + z = SkScalarFastInvert(z); + } + + dst->fY = SkScalarMul(y, z); + dst->fX = SkScalarMul(x, z); + dst += 1; + } while (--count); + } +} + +const SkMatrix::MapPtsProc SkMatrix::gMapPtsProcs[] = { + SkMatrix::Identity_pts, SkMatrix::Trans_pts, + SkMatrix::Scale_pts, SkMatrix::ScaleTrans_pts, + SkMatrix::Rot_pts, SkMatrix::RotTrans_pts, + SkMatrix::Rot_pts, SkMatrix::RotTrans_pts, + // repeat the persp proc 8 times + SkMatrix::Persp_pts, SkMatrix::Persp_pts, + SkMatrix::Persp_pts, SkMatrix::Persp_pts, + SkMatrix::Persp_pts, SkMatrix::Persp_pts, + SkMatrix::Persp_pts, SkMatrix::Persp_pts +}; + +void SkMatrix::mapPoints(SkPoint dst[], const SkPoint src[], int count) const { + SkASSERT((dst && src && count > 0) || count == 0); + // no partial overlap + SkASSERT(src == dst || SkAbs32((int32_t)(src - dst)) >= count); + + this->getMapPtsProc()(*this, dst, src, count); +} + +/////////////////////////////////////////////////////////////////////////////// + +void SkMatrix::mapVectors(SkPoint dst[], const SkPoint src[], int count) const { + if (this->getType() & kPerspective_Mask) { + SkPoint origin; + + MapXYProc proc = this->getMapXYProc(); + proc(*this, 0, 0, &origin); + + for (int i = count - 1; i >= 0; --i) { + SkPoint tmp; + + proc(*this, src[i].fX, src[i].fY, &tmp); + dst[i].set(tmp.fX - origin.fX, tmp.fY - origin.fY); + } + } else { + SkMatrix tmp = *this; + + tmp.fMat[kMTransX] = tmp.fMat[kMTransY] = 0; + tmp.clearTypeMask(kTranslate_Mask); + tmp.mapPoints(dst, src, count); + } +} + +bool SkMatrix::mapRect(SkRect* dst, const SkRect& src) const { + SkASSERT(dst && &src); + + if (this->rectStaysRect()) { + this->mapPoints((SkPoint*)dst, (const SkPoint*)&src, 2); + dst->sort(); + return true; + } else { + SkPoint quad[4]; + + src.toQuad(quad); + this->mapPoints(quad, quad, 4); + dst->set(quad, 4); + return false; + } +} + +SkScalar SkMatrix::mapRadius(SkScalar radius) const { + SkVector vec[2]; + + vec[0].set(radius, 0); + vec[1].set(0, radius); + this->mapVectors(vec, 2); + + SkScalar d0 = vec[0].length(); + SkScalar d1 = vec[1].length(); + + return SkScalarMean(d0, d1); +} + +/////////////////////////////////////////////////////////////////////////////// + +void SkMatrix::Persp_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, + SkPoint* pt) { + SkASSERT(m.getType() & kPerspective_Mask); + + SkScalar x = SkScalarMul(sx, m.fMat[kMScaleX]) + + SkScalarMul(sy, m.fMat[kMSkewX]) + m.fMat[kMTransX]; + SkScalar y = SkScalarMul(sx, m.fMat[kMSkewY]) + + SkScalarMul(sy, m.fMat[kMScaleY]) + m.fMat[kMTransY]; +#ifdef SK_SCALAR_IS_FIXED + SkFixed z = SkFractMul(sx, m.fMat[kMPersp0]) + + SkFractMul(sy, m.fMat[kMPersp1]) + + SkFractToFixed(m.fMat[kMPersp2]); +#else + float z = SkScalarMul(sx, m.fMat[kMPersp0]) + + SkScalarMul(sy, m.fMat[kMPersp1]) + m.fMat[kMPersp2]; +#endif + if (z) { + z = SkScalarFastInvert(z); + } + pt->fX = SkScalarMul(x, z); + pt->fY = SkScalarMul(y, z); +} + +#ifdef SK_SCALAR_IS_FIXED +static SkFixed fixmuladdmul(SkFixed a, SkFixed b, SkFixed c, SkFixed d) { + Sk64 tmp, tmp1; + + tmp.setMul(a, b); + tmp1.setMul(c, d); + return tmp.addGetFixed(tmp1); +// tmp.add(tmp1); +// return tmp.getFixed(); +} +#endif + +void SkMatrix::RotTrans_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, + SkPoint* pt) { + SkASSERT((m.getType() & (kAffine_Mask | kPerspective_Mask)) == kAffine_Mask); + +#ifdef SK_SCALAR_IS_FIXED + pt->fX = fixmuladdmul(sx, m.fMat[kMScaleX], sy, m.fMat[kMSkewX]) + + m.fMat[kMTransX]; + pt->fY = fixmuladdmul(sx, m.fMat[kMSkewY], sy, m.fMat[kMScaleY]) + + m.fMat[kMTransY]; +#else + pt->fX = SkScalarMul(sx, m.fMat[kMScaleX]) + + SkScalarMulAdd(sy, m.fMat[kMSkewX], m.fMat[kMTransX]); + pt->fY = SkScalarMul(sx, m.fMat[kMSkewY]) + + SkScalarMulAdd(sy, m.fMat[kMScaleY], m.fMat[kMTransY]); +#endif +} + +void SkMatrix::Rot_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, + SkPoint* pt) { + SkASSERT((m.getType() & (kAffine_Mask | kPerspective_Mask))== kAffine_Mask); + SkASSERT(0 == m.fMat[kMTransX]); + SkASSERT(0 == m.fMat[kMTransY]); + +#ifdef SK_SCALAR_IS_FIXED + pt->fX = fixmuladdmul(sx, m.fMat[kMScaleX], sy, m.fMat[kMSkewX]); + pt->fY = fixmuladdmul(sx, m.fMat[kMSkewY], sy, m.fMat[kMScaleY]); +#else + pt->fX = SkScalarMul(sx, m.fMat[kMScaleX]) + + SkScalarMulAdd(sy, m.fMat[kMSkewX], m.fMat[kMTransX]); + pt->fY = SkScalarMul(sx, m.fMat[kMSkewY]) + + SkScalarMulAdd(sy, m.fMat[kMScaleY], m.fMat[kMTransY]); +#endif +} + +void SkMatrix::ScaleTrans_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, + SkPoint* pt) { + SkASSERT((m.getType() & (kScale_Mask | kAffine_Mask | kPerspective_Mask)) + == kScale_Mask); + + pt->fX = SkScalarMulAdd(sx, m.fMat[kMScaleX], m.fMat[kMTransX]); + pt->fY = SkScalarMulAdd(sy, m.fMat[kMScaleY], m.fMat[kMTransY]); +} + +void SkMatrix::Scale_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, + SkPoint* pt) { + SkASSERT((m.getType() & (kScale_Mask | kAffine_Mask | kPerspective_Mask)) + == kScale_Mask); + SkASSERT(0 == m.fMat[kMTransX]); + SkASSERT(0 == m.fMat[kMTransY]); + + pt->fX = SkScalarMul(sx, m.fMat[kMScaleX]); + pt->fY = SkScalarMul(sy, m.fMat[kMScaleY]); +} + +void SkMatrix::Trans_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, + SkPoint* pt) { + SkASSERT(m.getType() == kTranslate_Mask); + + pt->fX = sx + m.fMat[kMTransX]; + pt->fY = sy + m.fMat[kMTransY]; +} + +void SkMatrix::Identity_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, + SkPoint* pt) { + SkASSERT(0 == m.getType()); + + pt->fX = sx; + pt->fY = sy; +} + +const SkMatrix::MapXYProc SkMatrix::gMapXYProcs[] = { + SkMatrix::Identity_xy, SkMatrix::Trans_xy, + SkMatrix::Scale_xy, SkMatrix::ScaleTrans_xy, + SkMatrix::Rot_xy, SkMatrix::RotTrans_xy, + SkMatrix::Rot_xy, SkMatrix::RotTrans_xy, + // repeat the persp proc 8 times + SkMatrix::Persp_xy, SkMatrix::Persp_xy, + SkMatrix::Persp_xy, SkMatrix::Persp_xy, + SkMatrix::Persp_xy, SkMatrix::Persp_xy, + SkMatrix::Persp_xy, SkMatrix::Persp_xy +}; + +/////////////////////////////////////////////////////////////////////////////// + +// if its nearly zero (just made up 26, perhaps it should be bigger or smaller) +#ifdef SK_SCALAR_IS_FIXED + typedef SkFract SkPerspElemType; + #define PerspNearlyZero(x) (SkAbs32(x) < (SK_Fract1 >> 26)) +#else + typedef float SkPerspElemType; + #define PerspNearlyZero(x) SkScalarNearlyZero(x, (1.0f / (1 << 26))) +#endif + +bool SkMatrix::fixedStepInX(SkScalar y, SkFixed* stepX, SkFixed* stepY) const { + if (PerspNearlyZero(fMat[kMPersp0])) { + if (stepX || stepY) { + if (PerspNearlyZero(fMat[kMPersp1]) && + PerspNearlyZero(fMat[kMPersp2] - kMatrix22Elem)) { + if (stepX) { + *stepX = SkScalarToFixed(fMat[kMScaleX]); + } + if (stepY) { + *stepY = SkScalarToFixed(fMat[kMSkewY]); + } + } else { +#ifdef SK_SCALAR_IS_FIXED + SkFixed z = SkFractMul(y, fMat[kMPersp1]) + + SkFractToFixed(fMat[kMPersp2]); +#else + float z = y * fMat[kMPersp1] + fMat[kMPersp2]; +#endif + if (stepX) { + *stepX = SkScalarToFixed(SkScalarDiv(fMat[kMScaleX], z)); + } + if (stepY) { + *stepY = SkScalarToFixed(SkScalarDiv(fMat[kMSkewY], z)); + } + } + } + return true; + } + return false; +} + +/////////////////////////////////////////////////////////////////////////////// + +#include "SkPerspIter.h" + +SkPerspIter::SkPerspIter(const SkMatrix& m, SkScalar x0, SkScalar y0, int count) + : fMatrix(m), fSX(x0), fSY(y0), fCount(count) { + SkPoint pt; + + SkMatrix::Persp_xy(m, x0, y0, &pt); + fX = SkScalarToFixed(pt.fX); + fY = SkScalarToFixed(pt.fY); +} + +int SkPerspIter::next() { + int n = fCount; + + if (0 == n) { + return 0; + } + SkPoint pt; + SkFixed x = fX; + SkFixed y = fY; + SkFixed dx, dy; + + if (n >= kCount) { + n = kCount; + fSX += SkIntToScalar(kCount); + SkMatrix::Persp_xy(fMatrix, fSX, fSY, &pt); + fX = SkScalarToFixed(pt.fX); + fY = SkScalarToFixed(pt.fY); + dx = (fX - x) >> kShift; + dy = (fY - y) >> kShift; + } else { + fSX += SkIntToScalar(n); + SkMatrix::Persp_xy(fMatrix, fSX, fSY, &pt); + fX = SkScalarToFixed(pt.fX); + fY = SkScalarToFixed(pt.fY); + dx = (fX - x) / n; + dy = (fY - y) / n; + } + + SkFixed* p = fStorage; + for (int i = 0; i < n; i++) { + *p++ = x; x += dx; + *p++ = y; y += dy; + } + + fCount -= n; + return n; +} + +/////////////////////////////////////////////////////////////////////////////// + +#ifdef SK_SCALAR_IS_FIXED + +static inline bool poly_to_point(SkPoint* pt, const SkPoint poly[], int count) { + SkFixed x = SK_Fixed1, y = SK_Fixed1; + SkPoint pt1, pt2; + Sk64 w1, w2; + + if (count > 1) { + pt1.fX = poly[1].fX - poly[0].fX; + pt1.fY = poly[1].fY - poly[0].fY; + y = SkPoint::Length(pt1.fX, pt1.fY); + if (y == 0) { + return false; + } + switch (count) { + case 2: + break; + case 3: + pt2.fX = poly[0].fY - poly[2].fY; + pt2.fY = poly[2].fX - poly[0].fX; + goto CALC_X; + default: + pt2.fX = poly[0].fY - poly[3].fY; + pt2.fY = poly[3].fX - poly[0].fX; + CALC_X: + w1.setMul(pt1.fX, pt2.fX); + w2.setMul(pt1.fY, pt2.fY); + w1.add(w2); + w1.div(y, Sk64::kRound_DivOption); + if (!w1.is32()) { + return false; + } + x = w1.get32(); + break; + } + } + pt->set(x, y); + return true; +} + +bool SkMatrix::Poly2Proc(const SkPoint srcPt[], SkMatrix* dst, + const SkPoint& scalePt) { + // need to check if SkFixedDiv overflows... + + const SkFixed scale = scalePt.fY; + dst->fMat[kMScaleX] = SkFixedDiv(srcPt[1].fY - srcPt[0].fY, scale); + dst->fMat[kMSkewY] = SkFixedDiv(srcPt[0].fX - srcPt[1].fX, scale); + dst->fMat[kMPersp0] = 0; + dst->fMat[kMSkewX] = SkFixedDiv(srcPt[1].fX - srcPt[0].fX, scale); + dst->fMat[kMScaleY] = SkFixedDiv(srcPt[1].fY - srcPt[0].fY, scale); + dst->fMat[kMPersp1] = 0; + dst->fMat[kMTransX] = srcPt[0].fX; + dst->fMat[kMTransY] = srcPt[0].fY; + dst->fMat[kMPersp2] = SK_Fract1; + dst->setTypeMask(kUnknown_Mask); + return true; +} + +bool SkMatrix::Poly3Proc(const SkPoint srcPt[], SkMatrix* dst, + const SkPoint& scale) { + // really, need to check if SkFixedDiv overflow'd + + dst->fMat[kMScaleX] = SkFixedDiv(srcPt[2].fX - srcPt[0].fX, scale.fX); + dst->fMat[kMSkewY] = SkFixedDiv(srcPt[2].fY - srcPt[0].fY, scale.fX); + dst->fMat[kMPersp0] = 0; + dst->fMat[kMSkewX] = SkFixedDiv(srcPt[1].fX - srcPt[0].fX, scale.fY); + dst->fMat[kMScaleY] = SkFixedDiv(srcPt[1].fY - srcPt[0].fY, scale.fY); + dst->fMat[kMPersp1] = 0; + dst->fMat[kMTransX] = srcPt[0].fX; + dst->fMat[kMTransY] = srcPt[0].fY; + dst->fMat[kMPersp2] = SK_Fract1; + dst->setTypeMask(kUnknown_Mask); + return true; +} + +bool SkMatrix::Poly4Proc(const SkPoint srcPt[], SkMatrix* dst, + const SkPoint& scale) { + SkFract a1, a2; + SkFixed x0, y0, x1, y1, x2, y2; + + x0 = srcPt[2].fX - srcPt[0].fX; + y0 = srcPt[2].fY - srcPt[0].fY; + x1 = srcPt[2].fX - srcPt[1].fX; + y1 = srcPt[2].fY - srcPt[1].fY; + x2 = srcPt[2].fX - srcPt[3].fX; + y2 = srcPt[2].fY - srcPt[3].fY; + + /* check if abs(x2) > abs(y2) */ + if ( x2 > 0 ? y2 > 0 ? x2 > y2 : x2 > -y2 : y2 > 0 ? -x2 > y2 : x2 < y2) { + SkFixed denom = SkMulDiv(x1, y2, x2) - y1; + if (0 == denom) { + return false; + } + a1 = SkFractDiv(SkMulDiv(x0 - x1, y2, x2) - y0 + y1, denom); + } else { + SkFixed denom = x1 - SkMulDiv(y1, x2, y2); + if (0 == denom) { + return false; + } + a1 = SkFractDiv(x0 - x1 - SkMulDiv(y0 - y1, x2, y2), denom); + } + + /* check if abs(x1) > abs(y1) */ + if ( x1 > 0 ? y1 > 0 ? x1 > y1 : x1 > -y1 : y1 > 0 ? -x1 > y1 : x1 < y1) { + SkFixed denom = y2 - SkMulDiv(x2, y1, x1); + if (0 == denom) { + return false; + } + a2 = SkFractDiv(y0 - y2 - SkMulDiv(x0 - x2, y1, x1), denom); + } else { + SkFixed denom = SkMulDiv(y2, x1, y1) - x2; + if (0 == denom) { + return false; + } + a2 = SkFractDiv(SkMulDiv(y0 - y2, x1, y1) - x0 + x2, denom); + } + + // need to check if SkFixedDiv overflows... + dst->fMat[kMScaleX] = SkFixedDiv(SkFractMul(a2, srcPt[3].fX) + + srcPt[3].fX - srcPt[0].fX, scale.fX); + dst->fMat[kMSkewY] = SkFixedDiv(SkFractMul(a2, srcPt[3].fY) + + srcPt[3].fY - srcPt[0].fY, scale.fX); + dst->fMat[kMPersp0] = SkFixedDiv(a2, scale.fX); + dst->fMat[kMSkewX] = SkFixedDiv(SkFractMul(a1, srcPt[1].fX) + + srcPt[1].fX - srcPt[0].fX, scale.fY); + dst->fMat[kMScaleY] = SkFixedDiv(SkFractMul(a1, srcPt[1].fY) + + srcPt[1].fY - srcPt[0].fY, scale.fY); + dst->fMat[kMPersp1] = SkFixedDiv(a1, scale.fY); + dst->fMat[kMTransX] = srcPt[0].fX; + dst->fMat[kMTransY] = srcPt[0].fY; + dst->fMat[kMPersp2] = SK_Fract1; + dst->setTypeMask(kUnknown_Mask); + return true; +} + +#else /* Scalar is float */ + +static inline bool checkForZero(float x) { + return x*x == 0; +} + +static inline bool poly_to_point(SkPoint* pt, const SkPoint poly[], int count) { + float x = 1, y = 1; + SkPoint pt1, pt2; + + if (count > 1) { + pt1.fX = poly[1].fX - poly[0].fX; + pt1.fY = poly[1].fY - poly[0].fY; + y = SkPoint::Length(pt1.fX, pt1.fY); + if (checkForZero(y)) { + return false; + } + switch (count) { + case 2: + break; + case 3: + pt2.fX = poly[0].fY - poly[2].fY; + pt2.fY = poly[2].fX - poly[0].fX; + goto CALC_X; + default: + pt2.fX = poly[0].fY - poly[3].fY; + pt2.fY = poly[3].fX - poly[0].fX; + CALC_X: + x = SkScalarDiv(SkScalarMul(pt1.fX, pt2.fX) + + SkScalarMul(pt1.fY, pt2.fY), y); + break; + } + } + pt->set(x, y); + return true; +} + +bool SkMatrix::Poly2Proc(const SkPoint srcPt[], SkMatrix* dst, + const SkPoint& scale) { + float invScale = 1 / scale.fY; + + dst->fMat[kMScaleX] = (srcPt[1].fY - srcPt[0].fY) * invScale; + dst->fMat[kMSkewY] = (srcPt[0].fX - srcPt[1].fX) * invScale; + dst->fMat[kMPersp0] = 0; + dst->fMat[kMSkewX] = (srcPt[1].fX - srcPt[0].fX) * invScale; + dst->fMat[kMScaleY] = (srcPt[1].fY - srcPt[0].fY) * invScale; + dst->fMat[kMPersp1] = 0; + dst->fMat[kMTransX] = srcPt[0].fX; + dst->fMat[kMTransY] = srcPt[0].fY; + dst->fMat[kMPersp2] = 1; + dst->setTypeMask(kUnknown_Mask); + return true; +} + +bool SkMatrix::Poly3Proc(const SkPoint srcPt[], SkMatrix* dst, + const SkPoint& scale) { + float invScale = 1 / scale.fX; + dst->fMat[kMScaleX] = (srcPt[2].fX - srcPt[0].fX) * invScale; + dst->fMat[kMSkewY] = (srcPt[2].fY - srcPt[0].fY) * invScale; + dst->fMat[kMPersp0] = 0; + + invScale = 1 / scale.fY; + dst->fMat[kMSkewX] = (srcPt[1].fX - srcPt[0].fX) * invScale; + dst->fMat[kMScaleY] = (srcPt[1].fY - srcPt[0].fY) * invScale; + dst->fMat[kMPersp1] = 0; + + dst->fMat[kMTransX] = srcPt[0].fX; + dst->fMat[kMTransY] = srcPt[0].fY; + dst->fMat[kMPersp2] = 1; + dst->setTypeMask(kUnknown_Mask); + return true; +} + +bool SkMatrix::Poly4Proc(const SkPoint srcPt[], SkMatrix* dst, + const SkPoint& scale) { + float a1, a2; + float x0, y0, x1, y1, x2, y2; + + x0 = srcPt[2].fX - srcPt[0].fX; + y0 = srcPt[2].fY - srcPt[0].fY; + x1 = srcPt[2].fX - srcPt[1].fX; + y1 = srcPt[2].fY - srcPt[1].fY; + x2 = srcPt[2].fX - srcPt[3].fX; + y2 = srcPt[2].fY - srcPt[3].fY; + + /* check if abs(x2) > abs(y2) */ + if ( x2 > 0 ? y2 > 0 ? x2 > y2 : x2 > -y2 : y2 > 0 ? -x2 > y2 : x2 < y2) { + float denom = SkScalarMulDiv(x1, y2, x2) - y1; + if (checkForZero(denom)) { + return false; + } + a1 = SkScalarDiv(SkScalarMulDiv(x0 - x1, y2, x2) - y0 + y1, denom); + } else { + float denom = x1 - SkScalarMulDiv(y1, x2, y2); + if (checkForZero(denom)) { + return false; + } + a1 = SkScalarDiv(x0 - x1 - SkScalarMulDiv(y0 - y1, x2, y2), denom); + } + + /* check if abs(x1) > abs(y1) */ + if ( x1 > 0 ? y1 > 0 ? x1 > y1 : x1 > -y1 : y1 > 0 ? -x1 > y1 : x1 < y1) { + float denom = y2 - SkScalarMulDiv(x2, y1, x1); + if (checkForZero(denom)) { + return false; + } + a2 = SkScalarDiv(y0 - y2 - SkScalarMulDiv(x0 - x2, y1, x1), denom); + } else { + float denom = SkScalarMulDiv(y2, x1, y1) - x2; + if (checkForZero(denom)) { + return false; + } + a2 = SkScalarDiv(SkScalarMulDiv(y0 - y2, x1, y1) - x0 + x2, denom); + } + + float invScale = 1 / scale.fX; + dst->fMat[kMScaleX] = SkScalarMul(SkScalarMul(a2, srcPt[3].fX) + + srcPt[3].fX - srcPt[0].fX, invScale); + dst->fMat[kMSkewY] = SkScalarMul(SkScalarMul(a2, srcPt[3].fY) + + srcPt[3].fY - srcPt[0].fY, invScale); + dst->fMat[kMPersp0] = SkScalarMul(a2, invScale); + invScale = 1 / scale.fY; + dst->fMat[kMSkewX] = SkScalarMul(SkScalarMul(a1, srcPt[1].fX) + + srcPt[1].fX - srcPt[0].fX, invScale); + dst->fMat[kMScaleY] = SkScalarMul(SkScalarMul(a1, srcPt[1].fY) + + srcPt[1].fY - srcPt[0].fY, invScale); + dst->fMat[kMPersp1] = SkScalarMul(a1, invScale); + dst->fMat[kMTransX] = srcPt[0].fX; + dst->fMat[kMTransY] = srcPt[0].fY; + dst->fMat[kMPersp2] = 1; + dst->setTypeMask(kUnknown_Mask); + return true; +} + +#endif + +typedef bool (*PolyMapProc)(const SkPoint[], SkMatrix*, const SkPoint&); + +/* Taken from Rob Johnson's original sample code in QuickDraw GX +*/ +bool SkMatrix::setPolyToPoly(const SkPoint src[], const SkPoint dst[], + int count) { + if ((unsigned)count > 4) { + SkDebugf("--- SkMatrix::setPolyToPoly count out of range %d\n", count); + return false; + } + + if (0 == count) { + this->reset(); + return true; + } + if (1 == count) { + this->setTranslate(dst[0].fX - src[0].fX, dst[0].fY - src[0].fY); + return true; + } + + SkPoint scale; + if (!poly_to_point(&scale, src, count) || + SkScalarNearlyZero(scale.fX) || + SkScalarNearlyZero(scale.fY)) { + return false; + } + + static const PolyMapProc gPolyMapProcs[] = { + SkMatrix::Poly2Proc, SkMatrix::Poly3Proc, SkMatrix::Poly4Proc + }; + PolyMapProc proc = gPolyMapProcs[count - 2]; + + SkMatrix tempMap, result; + tempMap.setTypeMask(kUnknown_Mask); + + if (!proc(src, &tempMap, scale)) { + return false; + } + if (!tempMap.invert(&result)) { + return false; + } + if (!proc(dst, &tempMap, scale)) { + return false; + } + if (!result.setConcat(tempMap, result)) { + return false; + } + *this = result; + return true; +} + +/////////////////////////////////////////////////////////////////////////////// + +void SkMatrix::dump() const { + SkString str; + this->toDumpString(&str); + SkDebugf("%s\n", str.c_str()); +} + +void SkMatrix::toDumpString(SkString* str) const { +#ifdef SK_CAN_USE_FLOAT + str->printf("[%8.4f %8.4f %8.4f][%8.4f %8.4f %8.4f][%8.4f %8.4f %8.4f]", +#ifdef SK_SCALAR_IS_FLOAT + fMat[0], fMat[1], fMat[2], fMat[3], fMat[4], fMat[5], + fMat[6], fMat[7], fMat[8]); +#else + SkFixedToFloat(fMat[0]), SkFixedToFloat(fMat[1]), SkFixedToFloat(fMat[2]), + SkFixedToFloat(fMat[3]), SkFixedToFloat(fMat[4]), SkFixedToFloat(fMat[5]), + SkFractToFloat(fMat[6]), SkFractToFloat(fMat[7]), SkFractToFloat(fMat[8])); +#endif +#else // can't use float + str->printf("[%x %x %x][%x %x %x][%x %x %x]", + fMat[0], fMat[1], fMat[2], fMat[3], fMat[4], fMat[5], + fMat[6], fMat[7], fMat[8]); +#endif +} + +/////////////////////////////////////////////////////////////////////////////// + +#ifdef SK_DEBUG + +void SkMatrix::UnitTest() { +#ifdef SK_SUPPORT_UNITTEST + SkMatrix mat, inverse, iden1, iden2; + + mat.reset(); + mat.setTranslate(SK_Scalar1, SK_Scalar1); + mat.invert(&inverse); + inverse.dump(); + iden1.setConcat(mat, inverse); + iden1.dump(); + + mat.setScale(SkIntToScalar(2), SkIntToScalar(2)); + mat.invert(&inverse); + inverse.dump(); + iden1.setConcat(mat, inverse); + iden1.dump(); + + mat.setScale(SK_Scalar1/2, SK_Scalar1/2); + mat.invert(&inverse); + inverse.dump(); + iden1.setConcat(mat, inverse); + iden1.dump(); + SkASSERT(iden1.isIdentity()); + + mat.setScale(SkIntToScalar(3), SkIntToScalar(5), SkIntToScalar(20), 0); + mat.postRotate(SkIntToScalar(25)); + + SkASSERT(mat.invert(NULL)); + mat.invert(&inverse); + + iden1.setConcat(mat, inverse); + iden2.setConcat(inverse, mat); + + iden1.dump(); +// SkASSERT(iden1.isIdentity()); + iden2.dump(); +// SkASSERT(iden2.isIdentity()); + + // rectStaysRect test + { + static const struct { + SkScalar m00, m01, m10, m11; + bool mStaysRect; + } + gRectStaysRectSamples[] = { + { 0, 0, 0, 0, false }, + { 0, 0, 0, SK_Scalar1, false }, + { 0, 0, SK_Scalar1, 0, false }, + { 0, 0, SK_Scalar1, SK_Scalar1, false }, + { 0, SK_Scalar1, 0, 0, false }, + { 0, SK_Scalar1, 0, SK_Scalar1, false }, + { 0, SK_Scalar1, SK_Scalar1, 0, true }, + { 0, SK_Scalar1, SK_Scalar1, SK_Scalar1, false }, + { SK_Scalar1, 0, 0, 0, false }, + { SK_Scalar1, 0, 0, SK_Scalar1, true }, + { SK_Scalar1, 0, SK_Scalar1, 0, false }, + { SK_Scalar1, 0, SK_Scalar1, SK_Scalar1, false }, + { SK_Scalar1, SK_Scalar1, 0, 0, false }, + { SK_Scalar1, SK_Scalar1, 0, SK_Scalar1, false }, + { SK_Scalar1, SK_Scalar1, SK_Scalar1, 0, false }, + { SK_Scalar1, SK_Scalar1, SK_Scalar1, SK_Scalar1, false } + }; + + for (size_t i = 0; i < SK_ARRAY_COUNT(gRectStaysRectSamples); i++) { + SkMatrix m; + + m.reset(); + m.set(SkMatrix::kMScaleX, gRectStaysRectSamples[i].m00); + m.set(SkMatrix::kMSkewX, gRectStaysRectSamples[i].m01); + m.set(SkMatrix::kMSkewY, gRectStaysRectSamples[i].m10); + m.set(SkMatrix::kMScaleY, gRectStaysRectSamples[i].m11); + SkASSERT(m.rectStaysRect() == gRectStaysRectSamples[i].mStaysRect); + } + } +#endif +} + +#endif |