grab from latest android

git-svn-id: http://skia.googlecode.com/svn/trunk@27 2bbb7eff-a529-9590-31e7-b0007b416f81

1 files changed, 1690 insertions, 0 deletions

diff --git a/src/core/SkMatrix.cpp b/src/core/SkMatrix.cpp
new file mode 100644
index 0000000000..893aea17d4
--- /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