| /* libs/corecg/SkMatrix.cpp |
| ** |
| ** Copyright 2006, Google Inc. |
| ** |
| ** 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" |
| |
| #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; |
| } |
| |
| static inline int has_perspective(const SkScalar mat[9]) |
| { |
| #ifdef SK_SCALAR_IS_FLOAT |
| return mat[SkMatrix::kMPersp0] || mat[SkMatrix::kMPersp1] || mat[SkMatrix::kMPersp2] != kMatrix22Elem; |
| #else |
| return mat[SkMatrix::kMPersp0] | mat[SkMatrix::kMPersp1] | (mat[SkMatrix::kMPersp2] - kMatrix22Elem); |
| #endif |
| } |
| |
| // 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 |
| }; |
| |
| SkMatrix::TypeMask SkMatrix::getType() const |
| { |
| unsigned type = 0; |
| |
| type |= (fMat[kMPersp0] || fMat[kMPersp1] || fMat[kMPersp2] != kMatrix22Elem) << kPerspective_Shift; |
| type |= (fMat[kMSkewX] || fMat[kMSkewY]) << kAffine_Shift; |
| type |= (fMat[kMScaleX] != SK_Scalar1 || fMat[kMScaleY] != SK_Scalar1) << kScale_Shift; |
| type |= (fMat[kMTransX] || fMat[kMTransY]) << kTranslate_Shift; |
| |
| return (TypeMask)type; |
| } |
| |
| static inline bool is_identity(const SkScalar fMat[9]) |
| { |
| #ifdef SK_SCALAR_IS_FLOAT |
| return fMat[SkMatrix::kMPersp0] == 0 && fMat[SkMatrix::kMPersp1] == 0 && fMat[SkMatrix::kMPersp2] == kMatrix22Elem && |
| fMat[SkMatrix::kMSkewX] == 0 && fMat[SkMatrix::kMSkewY] == 0 && fMat[SkMatrix::kMTransX] == 0 && fMat[SkMatrix::kMTransY] == 0 && |
| fMat[SkMatrix::kMScaleX] == SK_Scalar1 && fMat[SkMatrix::kMScaleY] == SK_Scalar1; |
| #else |
| return !(fMat[SkMatrix::kMPersp0] | fMat[SkMatrix::kMPersp1] | (fMat[SkMatrix::kMPersp2] - kMatrix22Elem) | |
| fMat[SkMatrix::kMSkewX] | fMat[SkMatrix::kMSkewY] | fMat[SkMatrix::kMTransX] | fMat[SkMatrix::kMTransY] | |
| (fMat[SkMatrix::kMScaleX] - SK_Scalar1) | (fMat[SkMatrix::kMScaleY] - SK_Scalar1)); |
| #endif |
| } |
| |
| bool SkMatrix::isIdentity() const |
| { |
| return is_identity(fMat); |
| } |
| |
| //////////////////////////////////////////////////////////////////////////////////// |
| |
| void SkMatrix::setTranslate(SkScalar dx, SkScalar 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; |
| } |
| |
| bool SkMatrix::preTranslate(SkScalar dx, SkScalar dy) |
| { |
| if (has_perspective(fMat)) |
| { |
| SkMatrix m; |
| m.setTranslate(dx, dy); |
| return this->preConcat(m); |
| } |
| else |
| { |
| fMat[kMTransX] += SkScalarMul(fMat[kMScaleX], dx) + SkScalarMul(fMat[kMSkewX], dy); |
| fMat[kMTransY] += SkScalarMul(fMat[kMSkewY], dx) + SkScalarMul(fMat[kMScaleY], dy); |
| return true; |
| } |
| } |
| |
| bool SkMatrix::postTranslate(SkScalar dx, SkScalar dy) |
| { |
| if (has_perspective(fMat)) |
| { |
| SkMatrix m; |
| m.setTranslate(dx, dy); |
| return this->postConcat(m); |
| } |
| else |
| { |
| fMat[kMTransX] += dx; |
| fMat[kMTransY] += dy; |
| 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; |
| } |
| |
| 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; |
| } |
| |
| 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; |
| } |
| #else |
| static inline float roundidiv(float numer, int denom) |
| { |
| return numer / denom; |
| } |
| #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; |
| |
| 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); |
| |
| return true; |
| } |
| |
| //////////////////////////////////////////////////////////////////////////////////// |
| |
| void SkMatrix::setSinCos(SkScalar sinV, SkScalar cosV, SkScalar px, SkScalar py) |
| { |
| fMat[kMScaleX] = cosV; |
| fMat[kMSkewX] = -sinV; |
| fMat[kMTransX] = SkScalarMul(sinV, py) + SkScalarMul(SK_Scalar1 - cosV, px); |
| |
| fMat[kMSkewY] = sinV; |
| fMat[kMScaleY] = cosV; |
| fMat[kMTransY] = SkScalarMul(-sinV, px) + SkScalarMul(SK_Scalar1 - cosV, py); |
| |
| fMat[kMPersp0] = fMat[kMPersp1] = 0; |
| fMat[kMPersp2] = kMatrix22Elem; |
| } |
| |
| 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; |
| } |
| |
| 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; |
| } |
| |
| 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; |
| } |
| |
| 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()) |
| memset(fMat, 0, 8 * sizeof(SkScalar)); |
| 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; |
| } |
| // 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 float rowcol3(const float row[], const float col[]) |
| { |
| return row[0] * col[0] + row[1] * col[3] + row[2] * col[6]; |
| } |
| 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); |
| |
| S32 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 SkFixed rowcol3(const SkFixed row[], const SkFixed col[]) |
| { |
| 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); |
| |
| return tmp1.getFixed(); |
| } |
| static inline int negifaddoverflows(SkFixed& result, SkFixed a, SkFixed b) |
| { |
| SkFixed c = a + b; |
| result = c; |
| SkASSERT(((c ^ a) & (c ^ b)) >= 0); |
| 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; |
| SkMatrix* c = this; |
| |
| if (this == &a || this == &b) |
| c = &tmp; |
| |
| if ((aType | bType) & kPerspective_Mask) |
| { |
| c->fMat[kMScaleX] = rowcol3(&a.fMat[0], &b.fMat[0]); |
| c->fMat[kMSkewX] = rowcol3(&a.fMat[0], &b.fMat[1]); |
| c->fMat[kMTransX] = rowcol3(&a.fMat[0], &b.fMat[2]); |
| |
| c->fMat[kMSkewY] = rowcol3(&a.fMat[3], &b.fMat[0]); |
| c->fMat[kMScaleY] = rowcol3(&a.fMat[3], &b.fMat[1]); |
| c->fMat[kMTransY] = rowcol3(&a.fMat[3], &b.fMat[2]); |
| |
| c->fMat[kMPersp0] = rowcol3(&a.fMat[6], &b.fMat[0]); |
| c->fMat[kMPersp1] = rowcol3(&a.fMat[6], &b.fMat[1]); |
| c->fMat[kMPersp2] = rowcol3(&a.fMat[6], &b.fMat[2]); |
| |
| normalize_perspective(c->fMat); |
| } |
| else // not perspective |
| { |
| if (!fixmuladdmul(a.fMat[kMScaleX], b.fMat[kMScaleX], a.fMat[kMSkewX], b.fMat[kMSkewY], &c->fMat[kMScaleX])) |
| return false; |
| if (!fixmuladdmul(a.fMat[kMScaleX], b.fMat[kMSkewX], a.fMat[kMSkewX], b.fMat[kMScaleY], &c->fMat[kMSkewX])) |
| return false; |
| if (!fixmuladdmul(a.fMat[kMScaleX], b.fMat[kMTransX], a.fMat[kMSkewX], b.fMat[kMTransY], &c->fMat[kMTransX])) |
| return false; |
| if (negifaddoverflows(c->fMat[kMTransX], c->fMat[kMTransX], a.fMat[kMTransX]) < 0) |
| return false; |
| |
| if (!fixmuladdmul(a.fMat[kMSkewY], b.fMat[kMScaleX], a.fMat[kMScaleY], b.fMat[kMSkewY], &c->fMat[kMSkewY])) |
| return false; |
| if (!fixmuladdmul(a.fMat[kMSkewY], b.fMat[kMSkewX], a.fMat[kMScaleY], b.fMat[kMScaleY], &c->fMat[kMScaleY])) |
| return false; |
| if (!fixmuladdmul(a.fMat[kMSkewY], b.fMat[kMTransX], a.fMat[kMScaleY], b.fMat[kMTransY], &c->fMat[kMTransY])) |
| return false; |
| if (negifaddoverflows(c->fMat[kMTransY], c->fMat[kMTransY], a.fMat[kMTransY]) < 0) |
| return false; |
| |
| c->fMat[kMPersp0] = c->fMat[kMPersp1] = 0; |
| c->fMat[kMPersp2] = kMatrix22Elem; |
| } |
| |
| if (c == &tmp) |
| *this = tmp; |
| } |
| return true; |
| } |
| |
| bool SkMatrix::preConcat(const SkMatrix& mat) |
| { |
| return this->setConcat(*this, mat); |
| } |
| |
| bool SkMatrix::postConcat(const SkMatrix& mat) |
| { |
| return 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]; |
| |
| if (SkScalarNearlyZero((float)det)) |
| 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, S32 a, S32 b, S32 c, S32 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 = (S32)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(fMat); |
| 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 |
| { |
| S32 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; |
| } |
| return true; |
| } |
| |
| //////////////////////////////////////////////////////////////////////////////////// |
| |
| bool SkMatrix::mapPoints(SkPoint dst[], const SkPoint src[], int count, TypeMask typeMask) const |
| { |
| SkASSERT(dst && src && count > 0 || count == 0); |
| SkASSERT(src == dst || SkAbs32((S32)(src - dst)) >= count); // no partial overlap |
| |
| if (count <= 0) |
| return true; |
| |
| bool ok = true; |
| |
| if (typeMask & kPerspective_Mask) |
| { |
| #ifdef SK_SCALAR_IS_FIXED |
| SkFixed persp2 = SkFractToFixed(fMat[kMPersp2]); |
| #endif |
| for (int i = count - 1; i >= 0; --i) |
| { |
| SkScalar sx = src[i].fX; |
| SkScalar sy = src[i].fY; |
| SkScalar x = SkScalarMul(sx, fMat[kMScaleX]) + SkScalarMul(sy, fMat[kMSkewX]) + fMat[kMTransX]; |
| SkScalar y = SkScalarMul(sx, fMat[kMSkewY]) + SkScalarMul(sy, fMat[kMScaleY]) + fMat[kMTransY]; |
| #ifdef SK_SCALAR_IS_FIXED |
| SkFixed z = SkFractMul(sx, fMat[kMPersp0]) + SkFractMul(sy, fMat[kMPersp1]) + persp2; |
| #else |
| float z = SkScalarMul(sx, fMat[kMPersp0]) + SkScalarMul(sy, fMat[kMPersp1]) + fMat[kMPersp2]; |
| #endif |
| if (z) |
| z = SkScalarFastInvert(z); |
| dst[i].fX = SkScalarMul(x, z); |
| dst[i].fY = SkScalarMul(y, z); |
| } |
| } |
| else if (typeMask & kAffine_Mask) |
| { |
| for (int i = count - 1; i >= 0; --i) |
| { |
| SkScalar sx = src[i].fX; |
| SkScalar sy = src[i].fY; |
| dst[i].fX = SkScalarMul(sx, fMat[kMScaleX]) + SkScalarMul(sy, fMat[kMSkewX]) + fMat[kMTransX]; |
| dst[i].fY = SkScalarMul(sx, fMat[kMSkewY]) + SkScalarMul(sy, fMat[kMScaleY]) + fMat[kMTransY]; |
| } |
| } |
| else if (typeMask & kScale_Mask) |
| { |
| for (int i = count - 1; i >= 0; --i) |
| { |
| dst[i].fX = SkScalarMul(src[i].fX, fMat[kMScaleX]) + fMat[kMTransX]; |
| dst[i].fY = SkScalarMul(src[i].fY, fMat[kMScaleY]) + fMat[kMTransY]; |
| } |
| } |
| else if (typeMask & kTranslate_Mask) |
| { |
| for (int i = count - 1; i >= 0; --i) |
| { |
| dst[i].fX = src[i].fX + fMat[kMTransX]; |
| dst[i].fY = src[i].fY + fMat[kMTransY]; |
| } |
| } |
| else |
| { |
| SkASSERT(typeMask == 0); |
| if (dst != src) |
| memcpy(dst, src, count * sizeof(SkPoint)); |
| } |
| return ok; |
| } |
| |
| bool SkMatrix::mapVectors(SkPoint dst[], const SkPoint src[], int count, TypeMask maskType) const |
| { |
| bool ok; |
| |
| if (maskType & kPerspective_Mask) |
| { |
| SkPoint origin; |
| |
| origin.set(0, 0); |
| ok = this->mapPoints(&origin, &origin, 1, maskType); |
| |
| for (int i = count - 1; i >= 0; --i) |
| { |
| SkPoint tmp; |
| |
| ok &= this->mapPoints(&tmp, &src[i], 1, maskType); |
| dst[i].set(tmp.fX - origin.fX, tmp.fY - origin.fY); |
| } |
| } |
| else |
| { |
| SkMatrix tmp = *this; |
| |
| tmp.fMat[kMTransX] = tmp.fMat[kMTransY] = 0; |
| ok = tmp.mapPoints(dst, src, count, maskType); |
| } |
| return ok; |
| } |
| |
| bool SkMatrix::mapRect(SkRect* dst, const SkRect& src, TypeMask maskType) const |
| { |
| SkASSERT(dst && &src); |
| |
| bool ok; |
| |
| if (RectStaysRect(maskType)) |
| { |
| ok = this->mapPoints((SkPoint*)dst, (const SkPoint*)&src, 2, maskType); |
| dst->sort(); |
| } |
| else |
| { |
| SkPoint quad[4]; |
| |
| src.toQuad(quad); |
| ok = this->mapPoints(quad, quad, 4, maskType); |
| dst->set(quad, 4); |
| } |
| return ok; |
| } |
| |
| 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::Perspective_ptProc(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::Affine_ptProc(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]) + SkScalarMul(sy, m.fMat[kMSkewX]) + m.fMat[kMTransX]; |
| pt->fY = SkScalarMul(sx, m.fMat[kMSkewY]) + SkScalarMul(sy, m.fMat[kMScaleY]) + m.fMat[kMTransY]; |
| #endif |
| } |
| |
| void SkMatrix::Scale_ptProc(const SkMatrix& m, SkScalar sx, SkScalar sy, SkPoint* pt) |
| { |
| SkASSERT((m.getType() & (kScale_Mask | kAffine_Mask | kPerspective_Mask)) == kScale_Mask); |
| |
| pt->fX = SkScalarMul(sx, m.fMat[kMScaleX]) + m.fMat[kMTransX]; |
| pt->fY = SkScalarMul(sy, m.fMat[kMScaleY]) + m.fMat[kMTransY]; |
| } |
| |
| void SkMatrix::Translate_ptProc(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_ptProc(const SkMatrix& m, SkScalar sx, SkScalar sy, SkPoint* pt) |
| { |
| SkASSERT(0 == m.getType()); |
| |
| pt->fX = sx; |
| pt->fY = sy; |
| } |
| |
| SkMatrix::MapPtProc SkMatrix::getMapPtProc() const |
| { |
| TypeMask typeMask = this->getType(); |
| |
| if (typeMask & kPerspective_Mask) |
| return Perspective_ptProc; |
| if (typeMask & kAffine_Mask) |
| return Affine_ptProc; |
| if (typeMask & kScale_Mask) |
| return Scale_ptProc; |
| if (typeMask & kTranslate_Mask) |
| return Translate_ptProc; |
| return Identity_ptProc; |
| } |
| |
| ////////////////////////////////////////////////////////////////////////////////////////// |
| |
| // if its nearly zero (just made up 24 for that, 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; |
| } |
| |
| #if 0 |
| void SkMatrix::perspectiveLine(SkScalar x, SkScalar y, SkFixed dst[], int count) const |
| { |
| if (count <= 0) |
| return; |
| |
| SkPoint start, stop; |
| SkMatrix::Perspective_ptProc(*this, x, y, &start); |
| |
| SkFixed fx = SkScalarToFixed(start.fX); |
| SkFixed fy = SkScalarToFixed(start.fY); |
| |
| *dst++ = fx; |
| *dst++ = fy; |
| if (1 == count) { |
| return; |
| } |
| |
| SkMatrix::Perspective_ptProc(*this, x + SkIntToScalar(count - 1), y, &stop); |
| |
| SkFixed dx = SkScalarToFixed(stop.fX - start.fX) / (count - 1); |
| SkFixed dy = SkScalarToFixed(stop.fY - start.fY) / (count - 1); |
| |
| for (int i = 1; i < count; i++) |
| { |
| fx += dx; |
| *dst++ = fx; |
| fy += dy; |
| *dst++ = fy; |
| } |
| } |
| #endif |
| |
| ///////////////////////////////////////////////////////////////////////////////////////// |
| |
| #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::Perspective_ptProc(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::Perspective_ptProc(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::Perspective_ptProc(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 void 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); |
| 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); |
| x = w1.get32(); |
| break; |
| } |
| } |
| pt->set(x, y); |
| } |
| |
| static inline void Map1Pt(const SkPoint source[], SkMatrix* dst) |
| { |
| dst->setTranslate(source[0].fX, source[0].fY); |
| } |
| |
| void SkMatrix::Map2Pt(const SkPoint srcPt[], SkMatrix* dst, SkFixed scale) |
| { |
| 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; |
| } |
| |
| void SkMatrix::Map3Pt(const SkPoint srcPt[], SkMatrix* dst, SkFixed scaleX, SkFixed scaleY) |
| { |
| dst->fMat[kMScaleX] = SkFixedDiv(srcPt[2].fX - srcPt[0].fX, scaleX); |
| dst->fMat[kMSkewY] = SkFixedDiv(srcPt[2].fY - srcPt[0].fY, scaleX); |
| dst->fMat[kMPersp0] = 0; |
| dst->fMat[kMSkewX] = SkFixedDiv(srcPt[1].fX - srcPt[0].fX, scaleY); |
| dst->fMat[kMScaleY] = SkFixedDiv(srcPt[1].fY - srcPt[0].fY, scaleY); |
| dst->fMat[kMPersp1] = 0; |
| dst->fMat[kMTransX] = srcPt[0].fX; |
| dst->fMat[kMTransY] = srcPt[0].fY; |
| dst->fMat[kMPersp2] = SK_Fract1; |
| } |
| |
| void SkMatrix::Map4Pt(const SkPoint srcPt[], SkMatrix* dst, SkFixed scaleX, SkFixed scaleY) |
| { |
| 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) |
| a1 = SkFractDiv(SkMulDiv(x0 - x1, y2, x2) - y0 + y1, SkMulDiv(x1, y2, x2) - y1); |
| else |
| a1 = SkFractDiv(x0 - x1 - SkMulDiv(y0 - y1, x2, y2), x1 - SkMulDiv(y1, x2, y2)); |
| |
| /* check if abs(x1) > abs(y1) */ |
| if ( x1 > 0 ? y1 > 0 ? x1 > y1 : x1 > -y1 : y1 > 0 ? -x1 > y1 : x1 < y1) |
| a2 = SkFractDiv(y0 - y2 - SkMulDiv(x0 - x2, y1, x1), y2 - SkMulDiv(x2, y1, x1)); |
| else |
| a2 = SkFractDiv(SkMulDiv(y0 - y2, x1, y1) - x0 + x2, SkMulDiv(y2, x1, y1) - x2); |
| |
| dst->fMat[kMScaleX] = SkFixedDiv(SkFractMul(a2, srcPt[3].fX) + srcPt[3].fX - srcPt[0].fX, scaleX); |
| dst->fMat[kMSkewY] = SkFixedDiv(SkFractMul(a2, srcPt[3].fY) + srcPt[3].fY - srcPt[0].fY, scaleX); |
| dst->fMat[kMPersp0] = SkFixedDiv(a2, scaleX); |
| dst->fMat[kMSkewX] = SkFixedDiv(SkFractMul(a1, srcPt[1].fX) + srcPt[1].fX - srcPt[0].fX, scaleY); |
| dst->fMat[kMScaleY] = SkFixedDiv(SkFractMul(a1, srcPt[1].fY) + srcPt[1].fY - srcPt[0].fY, scaleY); |
| dst->fMat[kMPersp1] = SkFixedDiv(a1, scaleY); |
| dst->fMat[kMTransX] = srcPt[0].fX; |
| dst->fMat[kMTransY] = srcPt[0].fY; |
| dst->fMat[kMPersp2] = SK_Fract1; |
| } |
| |
| #else /* Scalar is float */ |
| |
| static inline void 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); |
| 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); |
| } |
| |
| static inline void Map1Pt(const SkPoint source[], SkMatrix* dst) |
| { |
| dst->setTranslate(source[0].fX, source[0].fY); |
| } |
| |
| void SkMatrix::Map2Pt(const SkPoint srcPt[], SkMatrix* dst, float scale) |
| { |
| float invScale = 1 / scale; |
| |
| 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; |
| } |
| |
| void SkMatrix::Map3Pt(const SkPoint srcPt[], SkMatrix* dst, float scaleX, float scaleY) |
| { |
| float invScale = 1 / scaleX; |
| |
| 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 / scaleY; |
| 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; |
| } |
| |
| void SkMatrix::Map4Pt(const SkPoint srcPt[], SkMatrix* dst, float scaleX, float scaleY) |
| { |
| 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) |
| a1 = SkScalarDiv(SkScalarMulDiv(x0 - x1, y2, x2) - y0 + y1, SkScalarMulDiv(x1, y2, x2) - y1); |
| else |
| a1 = SkScalarDiv(x0 - x1 - SkScalarMulDiv(y0 - y1, x2, y2), x1 - SkScalarMulDiv(y1, x2, y2)); |
| |
| /* check if abs(x1) > abs(y1) */ |
| if ( x1 > 0 ? y1 > 0 ? x1 > y1 : x1 > -y1 : y1 > 0 ? -x1 > y1 : x1 < y1) |
| a2 = SkScalarDiv(y0 - y2 - SkScalarMulDiv(x0 - x2, y1, x1), y2 - SkScalarMulDiv(x2, y1, x1)); |
| else |
| a2 = SkScalarDiv(SkScalarMulDiv(y0 - y2, x1, y1) - x0 + x2, SkScalarMulDiv(y2, x1, y1) - x2); |
| |
| scaleX = 1 / scaleX; |
| dst->fMat[kMScaleX] = SkScalarMul(SkScalarMul(a2, srcPt[3].fX) + srcPt[3].fX - srcPt[0].fX, scaleX); |
| dst->fMat[kMSkewY] = SkScalarMul(SkScalarMul(a2, srcPt[3].fY) + srcPt[3].fY - srcPt[0].fY, scaleX); |
| dst->fMat[kMPersp0] = SkScalarMul(a2, scaleX); |
| scaleY = 1 / scaleY; |
| dst->fMat[kMSkewX] = SkScalarMul(SkScalarMul(a1, srcPt[1].fX) + srcPt[1].fX - srcPt[0].fX, scaleY); |
| dst->fMat[kMScaleY] = SkScalarMul(SkScalarMul(a1, srcPt[1].fY) + srcPt[1].fY - srcPt[0].fY, scaleY); |
| dst->fMat[kMPersp1] = SkScalarMul(a1, scaleY); |
| dst->fMat[kMTransX] = srcPt[0].fX; |
| dst->fMat[kMTransY] = srcPt[0].fY; |
| dst->fMat[kMPersp2] = 1; |
| } |
| |
| #endif |
| |
| /* Taken from Rob Johnson's original sample code in QuickDraw GX |
| */ |
| bool SkMatrix::setPolyToPoly(const SkPoint dst[], const SkPoint src[], int count) |
| { |
| SkASSERT((unsigned)count <= 4); |
| |
| SkPoint tempPt; |
| SkMatrix tempMap; |
| |
| poly_to_point(&tempPt, src, count); |
| switch (count) { |
| case 0: |
| this->reset(); |
| break; |
| case 1: |
| this->setTranslate(dst[0].fX - src[0].fX, dst[0].fY - src[0].fY); |
| break; |
| case 2: |
| Map2Pt(src, &tempMap, tempPt.fY); |
| if (tempMap.invert(this) == false) |
| return false; |
| Map2Pt(dst, &tempMap, tempPt.fY); |
| goto mapMap; |
| case 3: |
| Map3Pt(src, &tempMap, tempPt.fX, tempPt.fY); |
| if (tempMap.invert(this) == false) |
| return false; |
| Map3Pt(dst, &tempMap, tempPt.fX, tempPt.fY); |
| goto mapMap; |
| default: |
| Map4Pt(src, &tempMap, tempPt.fX, tempPt.fY); |
| if (tempMap.invert(this) == false) |
| return false; |
| Map4Pt(dst, &tempMap, tempPt.fX, tempPt.fY); |
| mapMap: |
| this->setConcat(tempMap, *this); |
| break; |
| } |
| return true; |
| } |
| |
| /////////////////////////////////////////////////////////////////////////////////////// |
| /////////////////////////////////////////////////////////////////////////////////////// |
| |
| #ifdef SK_DEBUG |
| |
| void SkMatrix::dump() const |
| { |
| SkDebugf("SkMatrix mask = "); |
| unsigned mask = this->getType(); |
| |
| #ifdef SK_CAN_USE_FLOAT |
| SkDebugf("[%8.4f %8.4f %8.4f]\n[%8.4f %8.4f %8.4f]\n[%8.4f %8.4f %8.4f]\n", |
| #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 |
| SkDebugf("[%x %x %x]\n[%x %x %x]\n[%x %x %x]\n", |
| fMat[0], fMat[1], fMat[2], fMat[3], fMat[4], fMat[5], |
| fMat[6], fMat[7], fMat[8]); |
| #endif |
| } |
| |
| 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(); |
| |
| mat.setScale(SkIntToScalar(3), SkIntToScalar(5), SkIntToScalar(20), 0); |
| mat.postRotate(SkIntToScalar(25)); |
| |
| SkASSERT(mat.invert(nil)); |
| mat.invert(&inverse); |
| |
| iden1.setConcat(mat, inverse); |
| iden2.setConcat(inverse, mat); |
| |
| iden1.dump(); |
| iden2.dump(); |
| #endif |
| } |
| |
| #endif |