include/core/SkMatrix.h - platform/external/skia - Git at Google

 /*
  * Copyright (C) 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.
  */

 #ifndef SkMatrix_DEFINED
 #define SkMatrix_DEFINED

 #include "SkRect.h"

 class SkString;

 /** \class SkMatrix

     The SkMatrix class holds a 3x3 matrix for transforming coordinates.
     SkMatrix does not have a constructor, so it must be explicitly initialized
     using either reset() - to construct an identity matrix, or one of the set
     functions (e.g. setTranslate, setRotate, etc.).
 */
 class SK_API SkMatrix {
 public:
     /** Enum of bit fields for the mask return by getType().
         Use this to identify the complexity of the matrix.
     */
     enum TypeMask {
         kIdentity_Mask      = 0,
         kTranslate_Mask     = 0x01,  //!< set if the matrix has translation
         kScale_Mask         = 0x02,  //!< set if the matrix has X or Y scale
         kAffine_Mask        = 0x04,  //!< set if the matrix skews or rotates
         kPerspective_Mask   = 0x08   //!< set if the matrix is in perspective
     };

     /** Returns a mask bitfield describing the types of transformations
         that the matrix will perform. This information is used by routines
         like mapPoints, to optimize its inner loops to only perform as much
         arithmetic as is necessary.
     */
     TypeMask getType() const {
         if (fTypeMask & kUnknown_Mask) {
             fTypeMask = this->computeTypeMask();
         }
         // only return the public masks
         return (TypeMask)(fTypeMask & 0xF);
     }

     /** Returns true if the matrix is identity.
     */
     bool isIdentity() const {
         return this->getType() == 0;
     }

     /** Returns true if will map a rectangle to another rectangle. This can be
         true if the matrix is identity, scale-only, or rotates a multiple of
         90 degrees.
     */
     bool rectStaysRect() const {
         if (fTypeMask & kUnknown_Mask) {
             fTypeMask = this->computeTypeMask();
         }
         return (fTypeMask & kRectStaysRect_Mask) != 0;
     }
     // alias for rectStaysRect()
     bool preservesAxisAlignment() const { return this->rectStaysRect(); }

     /**
      *  Returns true if the perspective contains perspective elements.
      */
     bool hasPerspective() const {
         return SkToBool(this->getType() & kPerspective_Mask);
     }

     enum {
         kMScaleX,
         kMSkewX,
         kMTransX,
         kMSkewY,
         kMScaleY,
         kMTransY,
         kMPersp0,
         kMPersp1,
         kMPersp2
     };

     SkScalar operator[](int index) const {
         SkASSERT((unsigned)index < 9);
         return fMat[index];
     }

     SkScalar get(int index) const {
         SkASSERT((unsigned)index < 9);
         return fMat[index];
     }

     SkScalar getScaleX() const { return fMat[kMScaleX]; }
     SkScalar getScaleY() const { return fMat[kMScaleY]; }
     SkScalar getSkewY() const { return fMat[kMSkewY]; }
     SkScalar getSkewX() const { return fMat[kMSkewX]; }
     SkScalar getTranslateX() const { return fMat[kMTransX]; }
     SkScalar getTranslateY() const { return fMat[kMTransY]; }
     SkScalar getPerspX() const { return fMat[kMPersp0]; }
     SkScalar getPerspY() const { return fMat[kMPersp1]; }

     SkScalar& operator[](int index) {
         SkASSERT((unsigned)index < 9);
         this->setTypeMask(kUnknown_Mask);
         return fMat[index];
     }

     void set(int index, SkScalar value) {
         SkASSERT((unsigned)index < 9);
         fMat[index] = value;
         this->setTypeMask(kUnknown_Mask);
     }

     void setScaleX(SkScalar v) { this->set(kMScaleX, v); }
     void setScaleY(SkScalar v) { this->set(kMScaleY, v); }
     void setSkewY(SkScalar v) { this->set(kMSkewY, v); }
     void setSkewX(SkScalar v) { this->set(kMSkewX, v); }
     void setTranslateX(SkScalar v) { this->set(kMTransX, v); }
     void setTranslateY(SkScalar v) { this->set(kMTransY, v); }
     void setPerspX(SkScalar v) { this->set(kMPersp0, v); }
     void setPerspY(SkScalar v) { this->set(kMPersp1, v); }

     void setAll(SkScalar scaleX, SkScalar skewX, SkScalar transX,
                 SkScalar skewY, SkScalar scaleY, SkScalar transY,
                 SkScalar persp0, SkScalar persp1, SkScalar persp2) {
         fMat[kMScaleX] = scaleX;
         fMat[kMSkewX]  = skewX;
         fMat[kMTransX] = transX;
         fMat[kMSkewY]  = skewY;
         fMat[kMScaleY] = scaleY;
         fMat[kMTransY] = transY;
         fMat[kMPersp0] = persp0;
         fMat[kMPersp1] = persp1;
         fMat[kMPersp2] = persp2;
         this->setTypeMask(kUnknown_Mask);
     }

     /** Set the matrix to identity
     */
     void reset();
     // alias for reset()
     void setIdentity() { this->reset(); }

     /** Set the matrix to translate by (dx, dy).
     */
     void setTranslate(SkScalar dx, SkScalar dy);
     /** Set the matrix to scale by sx and sy, with a pivot point at (px, py).
         The pivot point is the coordinate that should remain unchanged by the
         specified transformation.
     */
     void setScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py);
     /** Set the matrix to scale by sx and sy.
     */
     void setScale(SkScalar sx, SkScalar sy);
     /** Set the matrix to rotate by the specified number of degrees, with a
         pivot point at (px, py). The pivot point is the coordinate that should
         remain unchanged by the specified transformation.
     */
     void setRotate(SkScalar degrees, SkScalar px, SkScalar py);
     /** Set the matrix to rotate about (0,0) by the specified number of degrees.
     */
     void setRotate(SkScalar degrees);
     /** Set the matrix to rotate by the specified sine and cosine values, with
         a pivot point at (px, py). The pivot point is the coordinate that
         should remain unchanged by the specified transformation.
     */
     void setSinCos(SkScalar sinValue, SkScalar cosValue,
                    SkScalar px, SkScalar py);
     /** Set the matrix to rotate by the specified sine and cosine values.
     */
     void setSinCos(SkScalar sinValue, SkScalar cosValue);
     /** Set the matrix to skew by sx and sy, with a pivot point at (px, py).
         The pivot point is the coordinate that should remain unchanged by the
         specified transformation.
     */
     void setSkew(SkScalar kx, SkScalar ky, SkScalar px, SkScalar py);
     /** Set the matrix to skew by sx and sy.
     */
     void setSkew(SkScalar kx, SkScalar ky);
     /** Set the matrix to the concatenation of the two specified matrices,
         returning true if the the result can be represented. Either of the
         two matrices may also be the target matrix. *this = a * b;
     */
     bool setConcat(const SkMatrix& a, const SkMatrix& b);

     /** Preconcats the matrix with the specified translation.
         M' = M * T(dx, dy)
     */
     bool preTranslate(SkScalar dx, SkScalar dy);
     /** Preconcats the matrix with the specified scale.
         M' = M * S(sx, sy, px, py)
     */
     bool preScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py);
     /** Preconcats the matrix with the specified scale.
         M' = M * S(sx, sy)
     */
     bool preScale(SkScalar sx, SkScalar sy);
     /** Preconcats the matrix with the specified rotation.
         M' = M * R(degrees, px, py)
     */
     bool preRotate(SkScalar degrees, SkScalar px, SkScalar py);
     /** Preconcats the matrix with the specified rotation.
         M' = M * R(degrees)
     */
     bool preRotate(SkScalar degrees);
     /** Preconcats the matrix with the specified skew.
         M' = M * K(kx, ky, px, py)
     */
     bool preSkew(SkScalar kx, SkScalar ky, SkScalar px, SkScalar py);
     /** Preconcats the matrix with the specified skew.
         M' = M * K(kx, ky)
     */
     bool preSkew(SkScalar kx, SkScalar ky);
     /** Preconcats the matrix with the specified matrix.
         M' = M * other
     */
     bool preConcat(const SkMatrix& other);

     /** Postconcats the matrix with the specified translation.
         M' = T(dx, dy) * M
     */
     bool postTranslate(SkScalar dx, SkScalar dy);
     /** Postconcats the matrix with the specified scale.
         M' = S(sx, sy, px, py) * M
     */
     bool postScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py);
     /** Postconcats the matrix with the specified scale.
         M' = S(sx, sy) * M
     */
     bool postScale(SkScalar sx, SkScalar sy);
     /** Postconcats the matrix by dividing it by the specified integers.
         M' = S(1/divx, 1/divy, 0, 0) * M
     */
     bool postIDiv(int divx, int divy);
     /** Postconcats the matrix with the specified rotation.
         M' = R(degrees, px, py) * M
     */
     bool postRotate(SkScalar degrees, SkScalar px, SkScalar py);
     /** Postconcats the matrix with the specified rotation.
         M' = R(degrees) * M
     */
     bool postRotate(SkScalar degrees);
     /** Postconcats the matrix with the specified skew.
         M' = K(kx, ky, px, py) * M
     */
     bool postSkew(SkScalar kx, SkScalar ky, SkScalar px, SkScalar py);
     /** Postconcats the matrix with the specified skew.
         M' = K(kx, ky) * M
     */
     bool postSkew(SkScalar kx, SkScalar ky);
     /** Postconcats the matrix with the specified matrix.
         M' = other * M
     */
     bool postConcat(const SkMatrix& other);

     enum ScaleToFit {
         /**
          * Scale in X and Y independently, so that src matches dst exactly.
          * This may change the aspect ratio of the src.
          */
         kFill_ScaleToFit,
         /**
          * Compute a scale that will maintain the original src aspect ratio,
          * but will also ensure that src fits entirely inside dst. At least one
          * axis (X or Y) will fit exactly. kStart aligns the result to the
          * left and top edges of dst.
          */
         kStart_ScaleToFit,
         /**
          * Compute a scale that will maintain the original src aspect ratio,
          * but will also ensure that src fits entirely inside dst. At least one
          * axis (X or Y) will fit exactly. The result is centered inside dst.
          */
         kCenter_ScaleToFit,
         /**
          * Compute a scale that will maintain the original src aspect ratio,
          * but will also ensure that src fits entirely inside dst. At least one
          * axis (X or Y) will fit exactly. kEnd aligns the result to the
          * right and bottom edges of dst.
          */
         kEnd_ScaleToFit
     };

     /** Set the matrix to the scale and translate values that map the source
         rectangle to the destination rectangle, returning true if the the result
         can be represented.
         @param src the source rectangle to map from.
         @param dst the destination rectangle to map to.
         @param stf the ScaleToFit option
         @return true if the matrix can be represented by the rectangle mapping.
     */
     bool setRectToRect(const SkRect& src, const SkRect& dst, ScaleToFit stf);

     /** Set the matrix such that the specified src points would map to the
         specified dst points. count must be within [0..4].
         @param src  The array of src points
         @param dst  The array of dst points
         @param count The number of points to use for the transformation
         @return true if the matrix was set to the specified transformation
     */
     bool setPolyToPoly(const SkPoint src[], const SkPoint dst[], int count);

     /** If this matrix can be inverted, return true and if inverse is not null,
         set inverse to be the inverse of this matrix. If this matrix cannot be
         inverted, ignore inverse and return false
     */
     bool invert(SkMatrix* inverse) const;

     /** Fills the passed array with the tranform values in the right order
         for PDFs.  If the matrix is a perspective transform, returns false
         and fills the array with an identity transform.
         @param transform  The array to fill in.
     */
     bool pdfTransform(SkScalar transform[6]) const;

     /** Apply this matrix to the array of points specified by src, and write
         the transformed points into the array of points specified by dst.
         dst[] = M * src[]
         @param dst  Where the transformed coordinates are written. It must
                     contain at least count entries
         @param src  The original coordinates that are to be transformed. It
                     must contain at least count entries
         @param count The number of points in src to read, and then transform
                      into dst.
     */
     void mapPoints(SkPoint dst[], const SkPoint src[], int count) const;

     /** Apply this matrix to the array of points, overwriting it with the
         transformed values.
         dst[] = M * pts[]
         @param pts  The points to be transformed. It must contain at least
                     count entries
         @param count The number of points in pts.
     */
     void mapPoints(SkPoint pts[], int count) const {
         this->mapPoints(pts, pts, count);
     }

     void mapXY(SkScalar x, SkScalar y, SkPoint* result) const {
         SkASSERT(result);
         this->getMapXYProc()(*this, x, y, result);
     }

     /** Apply this matrix to the array of vectors specified by src, and write
         the transformed vectors into the array of vectors specified by dst.
         This is similar to mapPoints, but ignores any translation in the matrix.
         @param dst  Where the transformed coordinates are written. It must
                     contain at least count entries
         @param src  The original coordinates that are to be transformed. It
                     must contain at least count entries
         @param count The number of vectors in src to read, and then transform
                      into dst.
     */
     void mapVectors(SkVector dst[], const SkVector src[], int count) const;

     /** Apply this matrix to the array of vectors specified by src, and write
         the transformed vectors into the array of vectors specified by dst.
         This is similar to mapPoints, but ignores any translation in the matrix.
         @param vecs The vectors to be transformed. It must contain at least
                     count entries
         @param count The number of vectors in vecs.
     */
     void mapVectors(SkVector vecs[], int count) const {
         this->mapVectors(vecs, vecs, count);
     }

     /** Apply this matrix to the src rectangle, and write the transformed
         rectangle into dst. This is accomplished by transforming the 4 corners
         of src, and then setting dst to the bounds of those points.
         @param dst  Where the transformed rectangle is written.
         @param src  The original rectangle to be transformed.
         @return the result of calling rectStaysRect()
     */
     bool mapRect(SkRect* dst, const SkRect& src) const;

     /** Apply this matrix to the rectangle, and write the transformed rectangle
         back into it. This is accomplished by transforming the 4 corners of
         rect, and then setting it to the bounds of those points
         @param rect The rectangle to transform.
         @return the result of calling rectStaysRect()
     */
     bool mapRect(SkRect* rect) const {
         return this->mapRect(rect, *rect);
     }

     void mapPointsWithStride(SkPoint pts[], size_t stride, int count) const {
         for (int i = 0; i < count; ++i) {
             this->mapPoints(pts, pts, 1);
             pts = (SkPoint*)((intptr_t)pts + stride);
         }
     }

     /** Return the mean radius of a circle after it has been mapped by
         this matrix. NOTE: in perspective this value assumes the circle
         has its center at the origin.
     */
     SkScalar mapRadius(SkScalar radius) const;

     typedef void (*MapXYProc)(const SkMatrix& mat, SkScalar x, SkScalar y,
                                  SkPoint* result);

     static MapXYProc GetMapXYProc(TypeMask mask) {
         SkASSERT((mask & ~kAllMasks) == 0);
         return gMapXYProcs[mask & kAllMasks];
     }

     MapXYProc getMapXYProc() const {
         return GetMapXYProc(this->getType());
     }

     typedef void (*MapPtsProc)(const SkMatrix& mat, SkPoint dst[],
                                   const SkPoint src[], int count);

     static MapPtsProc GetMapPtsProc(TypeMask mask) {
         SkASSERT((mask & ~kAllMasks) == 0);
         return gMapPtsProcs[mask & kAllMasks];
     }

     MapPtsProc getMapPtsProc() const {
         return GetMapPtsProc(this->getType());
     }

     /** If the matrix can be stepped in X (not complex perspective)
         then return true and if step[XY] is not null, return the step[XY] value.
         If it cannot, return false and ignore step.
     */
     bool fixedStepInX(SkScalar y, SkFixed* stepX, SkFixed* stepY) const;

 #ifdef SK_SCALAR_IS_FIXED
     friend bool operator==(const SkMatrix& a, const SkMatrix& b) {
         return memcmp(a.fMat, b.fMat, sizeof(a.fMat)) == 0;
     }

     friend bool operator!=(const SkMatrix& a, const SkMatrix& b) {
         return memcmp(a.fMat, b.fMat, sizeof(a.fMat)) != 0;
     }
 #else
     friend bool operator==(const SkMatrix& a, const SkMatrix& b);
     friend bool operator!=(const SkMatrix& a, const SkMatrix& b) {
         return !(a == b);
     }
 #endif

     enum {
         // flatten/unflatten will never return a value larger than this
         kMaxFlattenSize = 9 * sizeof(SkScalar) + sizeof(uint32_t)
     };
     // return the number of bytes written, whether or not buffer is null
     uint32_t flatten(void* buffer) const;
     // return the number of bytes read
     uint32_t unflatten(const void* buffer);

     void dump() const;
     void toDumpString(SkString*) const;

     /**
      * Calculates the maximum stretching factor of the matrix. Only defined if
      * the matrix does not have perspective.
      *
      * @return maximum strecthing factor or negative if matrix has perspective.
      */
     SkScalar getMaxStretch() const;

     /**
      *  Return a reference to a const identity matrix
      */
     static const SkMatrix& I();

     /**
      *  Return a reference to a const matrix that is "invalid", one that could
      *  never be used.
      */
     static const SkMatrix& InvalidMatrix();

 private:
     enum {
         /** Set if the matrix will map a rectangle to another rectangle. This
             can be true if the matrix is scale-only, or rotates a multiple of
             90 degrees. This bit is not set if the matrix is identity.

             This bit will be set on identity matrices
         */
         kRectStaysRect_Mask = 0x10,

         kUnknown_Mask = 0x80,

         kORableMasks =  kTranslate_Mask |
                         kScale_Mask |
                         kAffine_Mask |
                         kPerspective_Mask,

         kAllMasks = kTranslate_Mask |
                     kScale_Mask |
                     kAffine_Mask |
                     kPerspective_Mask |
                     kRectStaysRect_Mask
     };

     SkScalar        fMat[9];
     mutable uint8_t fTypeMask;

     uint8_t computeTypeMask() const;

     void setTypeMask(int mask) {
         // allow kUnknown or a valid mask
         SkASSERT(kUnknown_Mask == mask || (mask & kAllMasks) == mask);
         fTypeMask = SkToU8(mask);
     }

     void orTypeMask(int mask) {
         SkASSERT((mask & kORableMasks) == mask);
         fTypeMask = SkToU8(fTypeMask | mask);
     }

     void clearTypeMask(int mask) {
         // only allow a valid mask
         SkASSERT((mask & kAllMasks) == mask);
         fTypeMask &= ~mask;
     }

     static bool Poly2Proc(const SkPoint[], SkMatrix*, const SkPoint& scale);
     static bool Poly3Proc(const SkPoint[], SkMatrix*, const SkPoint& scale);
     static bool Poly4Proc(const SkPoint[], SkMatrix*, const SkPoint& scale);

     static void Identity_xy(const SkMatrix&, SkScalar, SkScalar, SkPoint*);
     static void Trans_xy(const SkMatrix&, SkScalar, SkScalar, SkPoint*);
     static void Scale_xy(const SkMatrix&, SkScalar, SkScalar, SkPoint*);
     static void ScaleTrans_xy(const SkMatrix&, SkScalar, SkScalar, SkPoint*);
     static void Rot_xy(const SkMatrix&, SkScalar, SkScalar, SkPoint*);
     static void RotTrans_xy(const SkMatrix&, SkScalar, SkScalar, SkPoint*);
     static void Persp_xy(const SkMatrix&, SkScalar, SkScalar, SkPoint*);

     static const MapXYProc gMapXYProcs[];

     static void Identity_pts(const SkMatrix&, SkPoint[], const SkPoint[], int);
     static void Trans_pts(const SkMatrix&, SkPoint dst[], const SkPoint[], int);
     static void Scale_pts(const SkMatrix&, SkPoint dst[], const SkPoint[], int);
     static void ScaleTrans_pts(const SkMatrix&, SkPoint dst[], const SkPoint[],
                                int count);
     static void Rot_pts(const SkMatrix&, SkPoint dst[], const SkPoint[], int);
     static void RotTrans_pts(const SkMatrix&, SkPoint dst[], const SkPoint[],
                              int count);
     static void Persp_pts(const SkMatrix&, SkPoint dst[], const SkPoint[], int);

     static const MapPtsProc gMapPtsProcs[];

     friend class SkPerspIter;
 };

 #endif
	/*
	* Copyright (C) 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.
	*/

	#ifndef SkMatrix_DEFINED
	#define SkMatrix_DEFINED

	#include "SkRect.h"

	class SkString;

	/** \class SkMatrix

	The SkMatrix class holds a 3x3 matrix for transforming coordinates.
	SkMatrix does not have a constructor, so it must be explicitly initialized
	using either reset() - to construct an identity matrix, or one of the set
	functions (e.g. setTranslate, setRotate, etc.).
	*/
	class SK_API SkMatrix {
	public:
	/** Enum of bit fields for the mask return by getType().
	Use this to identify the complexity of the matrix.
	*/
	enum TypeMask {
	kIdentity_Mask = 0,
	kTranslate_Mask = 0x01, //!< set if the matrix has translation
	kScale_Mask = 0x02, //!< set if the matrix has X or Y scale
	kAffine_Mask = 0x04, //!< set if the matrix skews or rotates
	kPerspective_Mask = 0x08 //!< set if the matrix is in perspective
	};

	/** Returns a mask bitfield describing the types of transformations
	that the matrix will perform. This information is used by routines
	like mapPoints, to optimize its inner loops to only perform as much
	arithmetic as is necessary.
	*/
	TypeMask getType() const {
	if (fTypeMask & kUnknown_Mask) {
	fTypeMask = this->computeTypeMask();
	}
	// only return the public masks
	return (TypeMask)(fTypeMask & 0xF);
	}

	/** Returns true if the matrix is identity.
	*/
	bool isIdentity() const {
	return this->getType() == 0;
	}

	/** Returns true if will map a rectangle to another rectangle. This can be
	true if the matrix is identity, scale-only, or rotates a multiple of
	90 degrees.
	*/
	bool rectStaysRect() const {
	if (fTypeMask & kUnknown_Mask) {
	fTypeMask = this->computeTypeMask();
	}
	return (fTypeMask & kRectStaysRect_Mask) != 0;
	}
	// alias for rectStaysRect()
	bool preservesAxisAlignment() const { return this->rectStaysRect(); }

	/**
	* Returns true if the perspective contains perspective elements.
	*/
	bool hasPerspective() const {
	return SkToBool(this->getType() & kPerspective_Mask);
	}

	enum {
	kMScaleX,
	kMSkewX,
	kMTransX,
	kMSkewY,
	kMScaleY,
	kMTransY,
	kMPersp0,
	kMPersp1,
	kMPersp2
	};

	SkScalar operator[](int index) const {
	SkASSERT((unsigned)index < 9);
	return fMat[index];
	}

	SkScalar get(int index) const {
	SkASSERT((unsigned)index < 9);
	return fMat[index];
	}

	SkScalar getScaleX() const { return fMat[kMScaleX]; }
	SkScalar getScaleY() const { return fMat[kMScaleY]; }
	SkScalar getSkewY() const { return fMat[kMSkewY]; }
	SkScalar getSkewX() const { return fMat[kMSkewX]; }
	SkScalar getTranslateX() const { return fMat[kMTransX]; }
	SkScalar getTranslateY() const { return fMat[kMTransY]; }
	SkScalar getPerspX() const { return fMat[kMPersp0]; }
	SkScalar getPerspY() const { return fMat[kMPersp1]; }

	SkScalar& operator[](int index) {
	SkASSERT((unsigned)index < 9);
	this->setTypeMask(kUnknown_Mask);
	return fMat[index];
	}

	void set(int index, SkScalar value) {
	SkASSERT((unsigned)index < 9);
	fMat[index] = value;
	this->setTypeMask(kUnknown_Mask);
	}

	void setScaleX(SkScalar v) { this->set(kMScaleX, v); }
	void setScaleY(SkScalar v) { this->set(kMScaleY, v); }
	void setSkewY(SkScalar v) { this->set(kMSkewY, v); }
	void setSkewX(SkScalar v) { this->set(kMSkewX, v); }
	void setTranslateX(SkScalar v) { this->set(kMTransX, v); }
	void setTranslateY(SkScalar v) { this->set(kMTransY, v); }
	void setPerspX(SkScalar v) { this->set(kMPersp0, v); }
	void setPerspY(SkScalar v) { this->set(kMPersp1, v); }

	void setAll(SkScalar scaleX, SkScalar skewX, SkScalar transX,
	SkScalar skewY, SkScalar scaleY, SkScalar transY,
	SkScalar persp0, SkScalar persp1, SkScalar persp2) {
	fMat[kMScaleX] = scaleX;
	fMat[kMSkewX] = skewX;
	fMat[kMTransX] = transX;
	fMat[kMSkewY] = skewY;
	fMat[kMScaleY] = scaleY;
	fMat[kMTransY] = transY;
	fMat[kMPersp0] = persp0;
	fMat[kMPersp1] = persp1;
	fMat[kMPersp2] = persp2;
	this->setTypeMask(kUnknown_Mask);
	}

	/** Set the matrix to identity
	*/
	void reset();
	// alias for reset()
	void setIdentity() { this->reset(); }

	/** Set the matrix to translate by (dx, dy).
	*/
	void setTranslate(SkScalar dx, SkScalar dy);
	/** Set the matrix to scale by sx and sy, with a pivot point at (px, py).
	The pivot point is the coordinate that should remain unchanged by the
	specified transformation.
	*/
	void setScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py);
	/** Set the matrix to scale by sx and sy.
	*/
	void setScale(SkScalar sx, SkScalar sy);
	/** Set the matrix to rotate by the specified number of degrees, with a
	pivot point at (px, py). The pivot point is the coordinate that should
	remain unchanged by the specified transformation.
	*/
	void setRotate(SkScalar degrees, SkScalar px, SkScalar py);
	/** Set the matrix to rotate about (0,0) by the specified number of degrees.
	*/
	void setRotate(SkScalar degrees);
	/** Set the matrix to rotate by the specified sine and cosine values, with
	a pivot point at (px, py). The pivot point is the coordinate that
	should remain unchanged by the specified transformation.
	*/
	void setSinCos(SkScalar sinValue, SkScalar cosValue,
	SkScalar px, SkScalar py);
	/** Set the matrix to rotate by the specified sine and cosine values.
	*/
	void setSinCos(SkScalar sinValue, SkScalar cosValue);
	/** Set the matrix to skew by sx and sy, with a pivot point at (px, py).
	The pivot point is the coordinate that should remain unchanged by the
	specified transformation.
	*/
	void setSkew(SkScalar kx, SkScalar ky, SkScalar px, SkScalar py);
	/** Set the matrix to skew by sx and sy.
	*/
	void setSkew(SkScalar kx, SkScalar ky);
	/** Set the matrix to the concatenation of the two specified matrices,
	returning true if the the result can be represented. Either of the
	two matrices may also be the target matrix. this = a b;
	*/
	bool setConcat(const SkMatrix& a, const SkMatrix& b);

	/** Preconcats the matrix with the specified translation.
	M' = M * T(dx, dy)
	*/
	bool preTranslate(SkScalar dx, SkScalar dy);
	/** Preconcats the matrix with the specified scale.
	M' = M * S(sx, sy, px, py)
	*/
	bool preScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py);
	/** Preconcats the matrix with the specified scale.
	M' = M * S(sx, sy)
	*/
	bool preScale(SkScalar sx, SkScalar sy);
	/** Preconcats the matrix with the specified rotation.
	M' = M * R(degrees, px, py)
	*/
	bool preRotate(SkScalar degrees, SkScalar px, SkScalar py);
	/** Preconcats the matrix with the specified rotation.
	M' = M * R(degrees)
	*/
	bool preRotate(SkScalar degrees);
	/** Preconcats the matrix with the specified skew.
	M' = M * K(kx, ky, px, py)
	*/
	bool preSkew(SkScalar kx, SkScalar ky, SkScalar px, SkScalar py);
	/** Preconcats the matrix with the specified skew.
	M' = M * K(kx, ky)
	*/
	bool preSkew(SkScalar kx, SkScalar ky);
	/** Preconcats the matrix with the specified matrix.
	M' = M * other
	*/
	bool preConcat(const SkMatrix& other);

	/** Postconcats the matrix with the specified translation.
	M' = T(dx, dy) * M
	*/
	bool postTranslate(SkScalar dx, SkScalar dy);
	/** Postconcats the matrix with the specified scale.
	M' = S(sx, sy, px, py) * M
	*/
	bool postScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py);
	/** Postconcats the matrix with the specified scale.
	M' = S(sx, sy) * M
	*/
	bool postScale(SkScalar sx, SkScalar sy);
	/** Postconcats the matrix by dividing it by the specified integers.
	M' = S(1/divx, 1/divy, 0, 0) * M
	*/
	bool postIDiv(int divx, int divy);
	/** Postconcats the matrix with the specified rotation.
	M' = R(degrees, px, py) * M
	*/
	bool postRotate(SkScalar degrees, SkScalar px, SkScalar py);
	/** Postconcats the matrix with the specified rotation.
	M' = R(degrees) * M
	*/
	bool postRotate(SkScalar degrees);
	/** Postconcats the matrix with the specified skew.
	M' = K(kx, ky, px, py) * M
	*/
	bool postSkew(SkScalar kx, SkScalar ky, SkScalar px, SkScalar py);
	/** Postconcats the matrix with the specified skew.
	M' = K(kx, ky) * M
	*/
	bool postSkew(SkScalar kx, SkScalar ky);
	/** Postconcats the matrix with the specified matrix.
	M' = other * M
	*/
	bool postConcat(const SkMatrix& other);

	enum ScaleToFit {
	/**
	* Scale in X and Y independently, so that src matches dst exactly.
	* This may change the aspect ratio of the src.
	*/
	kFill_ScaleToFit,
	/**
	* Compute a scale that will maintain the original src aspect ratio,
	* but will also ensure that src fits entirely inside dst. At least one
	* axis (X or Y) will fit exactly. kStart aligns the result to the
	* left and top edges of dst.
	*/
	kStart_ScaleToFit,
	/**
	* Compute a scale that will maintain the original src aspect ratio,
	* but will also ensure that src fits entirely inside dst. At least one
	* axis (X or Y) will fit exactly. The result is centered inside dst.
	*/
	kCenter_ScaleToFit,
	/**
	* Compute a scale that will maintain the original src aspect ratio,
	* but will also ensure that src fits entirely inside dst. At least one
	* axis (X or Y) will fit exactly. kEnd aligns the result to the
	* right and bottom edges of dst.
	*/
	kEnd_ScaleToFit
	};

	/** Set the matrix to the scale and translate values that map the source
	rectangle to the destination rectangle, returning true if the the result
	can be represented.
	@param src the source rectangle to map from.
	@param dst the destination rectangle to map to.
	@param stf the ScaleToFit option
	@return true if the matrix can be represented by the rectangle mapping.
	*/
	bool setRectToRect(const SkRect& src, const SkRect& dst, ScaleToFit stf);

	/** Set the matrix such that the specified src points would map to the
	specified dst points. count must be within [0..4].
	@param src The array of src points
	@param dst The array of dst points
	@param count The number of points to use for the transformation
	@return true if the matrix was set to the specified transformation
	*/
	bool setPolyToPoly(const SkPoint src[], const SkPoint dst[], int count);

	/** If this matrix can be inverted, return true and if inverse is not null,
	set inverse to be the inverse of this matrix. If this matrix cannot be
	inverted, ignore inverse and return false
	*/
	bool invert(SkMatrix* inverse) const;

	/** Fills the passed array with the tranform values in the right order
	for PDFs. If the matrix is a perspective transform, returns false
	and fills the array with an identity transform.
	@param transform The array to fill in.
	*/
	bool pdfTransform(SkScalar transform[6]) const;

	/** Apply this matrix to the array of points specified by src, and write
	the transformed points into the array of points specified by dst.
	dst[] = M * src[]
	@param dst Where the transformed coordinates are written. It must
	contain at least count entries
	@param src The original coordinates that are to be transformed. It
	must contain at least count entries
	@param count The number of points in src to read, and then transform
	into dst.
	*/
	void mapPoints(SkPoint dst[], const SkPoint src[], int count) const;

	/** Apply this matrix to the array of points, overwriting it with the
	transformed values.
	dst[] = M * pts[]
	@param pts The points to be transformed. It must contain at least
	count entries
	@param count The number of points in pts.
	*/
	void mapPoints(SkPoint pts[], int count) const {
	this->mapPoints(pts, pts, count);
	}

	void mapXY(SkScalar x, SkScalar y, SkPoint* result) const {
	SkASSERT(result);
	this->getMapXYProc()(*this, x, y, result);
	}

	/** Apply this matrix to the array of vectors specified by src, and write
	the transformed vectors into the array of vectors specified by dst.
	This is similar to mapPoints, but ignores any translation in the matrix.
	@param dst Where the transformed coordinates are written. It must
	contain at least count entries
	@param src The original coordinates that are to be transformed. It
	must contain at least count entries
	@param count The number of vectors in src to read, and then transform
	into dst.
	*/
	void mapVectors(SkVector dst[], const SkVector src[], int count) const;

	/** Apply this matrix to the array of vectors specified by src, and write
	the transformed vectors into the array of vectors specified by dst.
	This is similar to mapPoints, but ignores any translation in the matrix.
	@param vecs The vectors to be transformed. It must contain at least
	count entries
	@param count The number of vectors in vecs.
	*/
	void mapVectors(SkVector vecs[], int count) const {
	this->mapVectors(vecs, vecs, count);
	}

	/** Apply this matrix to the src rectangle, and write the transformed
	rectangle into dst. This is accomplished by transforming the 4 corners
	of src, and then setting dst to the bounds of those points.
	@param dst Where the transformed rectangle is written.
	@param src The original rectangle to be transformed.
	@return the result of calling rectStaysRect()
	*/
	bool mapRect(SkRect* dst, const SkRect& src) const;

	/** Apply this matrix to the rectangle, and write the transformed rectangle
	back into it. This is accomplished by transforming the 4 corners of
	rect, and then setting it to the bounds of those points
	@param rect The rectangle to transform.
	@return the result of calling rectStaysRect()
	*/
	bool mapRect(SkRect* rect) const {
	return this->mapRect(rect, *rect);
	}

	void mapPointsWithStride(SkPoint pts[], size_t stride, int count) const {
	for (int i = 0; i < count; ++i) {
	this->mapPoints(pts, pts, 1);
	pts = (SkPoint*)((intptr_t)pts + stride);
	}
	}

	/** Return the mean radius of a circle after it has been mapped by
	this matrix. NOTE: in perspective this value assumes the circle
	has its center at the origin.
	*/
	SkScalar mapRadius(SkScalar radius) const;

	typedef void (*MapXYProc)(const SkMatrix& mat, SkScalar x, SkScalar y,
	SkPoint* result);

	static MapXYProc GetMapXYProc(TypeMask mask) {
	SkASSERT((mask & ~kAllMasks) == 0);
	return gMapXYProcs[mask & kAllMasks];
	}

	MapXYProc getMapXYProc() const {
	return GetMapXYProc(this->getType());
	}

	typedef void (*MapPtsProc)(const SkMatrix& mat, SkPoint dst[],
	const SkPoint src[], int count);

	static MapPtsProc GetMapPtsProc(TypeMask mask) {
	SkASSERT((mask & ~kAllMasks) == 0);
	return gMapPtsProcs[mask & kAllMasks];
	}

	MapPtsProc getMapPtsProc() const {
	return GetMapPtsProc(this->getType());
	}

	/** If the matrix can be stepped in X (not complex perspective)
	then return true and if step[XY] is not null, return the step[XY] value.
	If it cannot, return false and ignore step.
	*/
	bool fixedStepInX(SkScalar y, SkFixed* stepX, SkFixed* stepY) const;

	#ifdef SK_SCALAR_IS_FIXED
	friend bool operator==(const SkMatrix& a, const SkMatrix& b) {
	return memcmp(a.fMat, b.fMat, sizeof(a.fMat)) == 0;
	}

	friend bool operator!=(const SkMatrix& a, const SkMatrix& b) {
	return memcmp(a.fMat, b.fMat, sizeof(a.fMat)) != 0;
	}
	#else
	friend bool operator==(const SkMatrix& a, const SkMatrix& b);
	friend bool operator!=(const SkMatrix& a, const SkMatrix& b) {
	return !(a == b);
	}
	#endif

	enum {
	// flatten/unflatten will never return a value larger than this
	kMaxFlattenSize = 9 * sizeof(SkScalar) + sizeof(uint32_t)
	};
	// return the number of bytes written, whether or not buffer is null
	uint32_t flatten(void* buffer) const;
	// return the number of bytes read
	uint32_t unflatten(const void* buffer);

	void dump() const;
	void toDumpString(SkString*) const;

	/**
	* Calculates the maximum stretching factor of the matrix. Only defined if
	* the matrix does not have perspective.
	*
	* @return maximum strecthing factor or negative if matrix has perspective.
	*/
	SkScalar getMaxStretch() const;

	/**
	* Return a reference to a const identity matrix
	*/
	static const SkMatrix& I();

	/**
	* Return a reference to a const matrix that is "invalid", one that could
	* never be used.
	*/
	static const SkMatrix& InvalidMatrix();

	private:
	enum {
	/** Set if the matrix will map a rectangle to another rectangle. This
	can be true if the matrix is scale-only, or rotates a multiple of
	90 degrees. This bit is not set if the matrix is identity.

	This bit will be set on identity matrices
	*/
	kRectStaysRect_Mask = 0x10,

	kUnknown_Mask = 0x80,

	kORableMasks = kTranslate_Mask \|
	kScale_Mask \|
	kAffine_Mask \|
	kPerspective_Mask,

	kAllMasks = kTranslate_Mask \|
	kScale_Mask \|
	kAffine_Mask \|
	kPerspective_Mask \|
	kRectStaysRect_Mask
	};

	SkScalar fMat[9];
	mutable uint8_t fTypeMask;

	uint8_t computeTypeMask() const;

	void setTypeMask(int mask) {
	// allow kUnknown or a valid mask
	SkASSERT(kUnknown_Mask == mask \|\| (mask & kAllMasks) == mask);
	fTypeMask = SkToU8(mask);
	}

	void orTypeMask(int mask) {
	SkASSERT((mask & kORableMasks) == mask);
	fTypeMask = SkToU8(fTypeMask \| mask);
	}

	void clearTypeMask(int mask) {
	// only allow a valid mask
	SkASSERT((mask & kAllMasks) == mask);
	fTypeMask &= ~mask;
	}

	static bool Poly2Proc(const SkPoint[], SkMatrix*, const SkPoint& scale);
	static bool Poly3Proc(const SkPoint[], SkMatrix*, const SkPoint& scale);
	static bool Poly4Proc(const SkPoint[], SkMatrix*, const SkPoint& scale);

	static void Identity_xy(const SkMatrix&, SkScalar, SkScalar, SkPoint*);
	static void Trans_xy(const SkMatrix&, SkScalar, SkScalar, SkPoint*);
	static void Scale_xy(const SkMatrix&, SkScalar, SkScalar, SkPoint*);
	static void ScaleTrans_xy(const SkMatrix&, SkScalar, SkScalar, SkPoint*);
	static void Rot_xy(const SkMatrix&, SkScalar, SkScalar, SkPoint*);
	static void RotTrans_xy(const SkMatrix&, SkScalar, SkScalar, SkPoint*);
	static void Persp_xy(const SkMatrix&, SkScalar, SkScalar, SkPoint*);

	static const MapXYProc gMapXYProcs[];

	static void Identity_pts(const SkMatrix&, SkPoint[], const SkPoint[], int);
	static void Trans_pts(const SkMatrix&, SkPoint dst[], const SkPoint[], int);
	static void Scale_pts(const SkMatrix&, SkPoint dst[], const SkPoint[], int);
	static void ScaleTrans_pts(const SkMatrix&, SkPoint dst[], const SkPoint[],
	int count);
	static void Rot_pts(const SkMatrix&, SkPoint dst[], const SkPoint[], int);
	static void RotTrans_pts(const SkMatrix&, SkPoint dst[], const SkPoint[],
	int count);
	static void Persp_pts(const SkMatrix&, SkPoint dst[], const SkPoint[], int);

	static const MapPtsProc gMapPtsProcs[];

	friend class SkPerspIter;
	};

	#endif