7b7cdd147f
Review URL: https://codereview.appspot.com/6828043 git-svn-id: http://skia.googlecode.com/svn/trunk@6329 2bbb7eff-a529-9590-31e7-b0007b416f81
664 lines
24 KiB
C++
664 lines
24 KiB
C++
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/*
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* Copyright 2006 The Android Open Source Project
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*
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* Use of this source code is governed by a BSD-style license that can be
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* found in the LICENSE file.
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*/
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#ifndef SkMatrix_DEFINED
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#define SkMatrix_DEFINED
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#include "SkRect.h"
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class SkString;
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#ifdef SK_SCALAR_IS_FLOAT
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typedef SkScalar SkPersp;
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#define SkScalarToPersp(x) (x)
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#define SkPerspToScalar(x) (x)
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#else
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typedef SkFract SkPersp;
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#define SkScalarToPersp(x) SkFixedToFract(x)
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#define SkPerspToScalar(x) SkFractToFixed(x)
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#endif
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/** \class SkMatrix
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The SkMatrix class holds a 3x3 matrix for transforming coordinates.
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SkMatrix does not have a constructor, so it must be explicitly initialized
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using either reset() - to construct an identity matrix, or one of the set
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functions (e.g. setTranslate, setRotate, etc.).
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*/
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class SK_API SkMatrix {
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public:
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/** Enum of bit fields for the mask return by getType().
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Use this to identify the complexity of the matrix.
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*/
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enum TypeMask {
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kIdentity_Mask = 0,
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kTranslate_Mask = 0x01, //!< set if the matrix has translation
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kScale_Mask = 0x02, //!< set if the matrix has X or Y scale
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kAffine_Mask = 0x04, //!< set if the matrix skews or rotates
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kPerspective_Mask = 0x08 //!< set if the matrix is in perspective
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};
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/** Returns a bitfield describing the transformations the matrix may
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perform. The bitfield is computed conservatively, so it may include
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false positives. For example, when kPerspective_Mask is true, all
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other bits may be set to true even in the case of a pure perspective
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transform.
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*/
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TypeMask getType() const {
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if (fTypeMask & kUnknown_Mask) {
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fTypeMask = this->computeTypeMask();
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}
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// only return the public masks
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return (TypeMask)(fTypeMask & 0xF);
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}
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/** Returns true if the matrix is identity.
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*/
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bool isIdentity() const {
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return this->getType() == 0;
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}
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/** Returns true if will map a rectangle to another rectangle. This can be
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true if the matrix is identity, scale-only, or rotates a multiple of
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90 degrees.
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*/
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bool rectStaysRect() const {
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if (fTypeMask & kUnknown_Mask) {
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fTypeMask = this->computeTypeMask();
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}
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return (fTypeMask & kRectStaysRect_Mask) != 0;
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}
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// alias for rectStaysRect()
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bool preservesAxisAlignment() const { return this->rectStaysRect(); }
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/**
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* Returns true if the matrix contains perspective elements.
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*/
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bool hasPerspective() const {
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return SkToBool(this->getPerspectiveTypeMaskOnly() &
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kPerspective_Mask);
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}
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enum {
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kMScaleX,
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kMSkewX,
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kMTransX,
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kMSkewY,
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kMScaleY,
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kMTransY,
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kMPersp0,
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kMPersp1,
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kMPersp2
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};
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/** Affine arrays are in column major order
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because that's how PDF and XPS like it.
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*/
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enum {
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kAScaleX,
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kASkewY,
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kASkewX,
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kAScaleY,
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kATransX,
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kATransY
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};
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SkScalar operator[](int index) const {
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SkASSERT((unsigned)index < 9);
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return fMat[index];
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}
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SkScalar get(int index) const {
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SkASSERT((unsigned)index < 9);
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return fMat[index];
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}
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SkScalar getScaleX() const { return fMat[kMScaleX]; }
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SkScalar getScaleY() const { return fMat[kMScaleY]; }
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SkScalar getSkewY() const { return fMat[kMSkewY]; }
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SkScalar getSkewX() const { return fMat[kMSkewX]; }
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SkScalar getTranslateX() const { return fMat[kMTransX]; }
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SkScalar getTranslateY() const { return fMat[kMTransY]; }
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SkPersp getPerspX() const { return fMat[kMPersp0]; }
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SkPersp getPerspY() const { return fMat[kMPersp1]; }
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SkScalar& operator[](int index) {
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SkASSERT((unsigned)index < 9);
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this->setTypeMask(kUnknown_Mask);
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return fMat[index];
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}
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void set(int index, SkScalar value) {
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SkASSERT((unsigned)index < 9);
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fMat[index] = value;
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this->setTypeMask(kUnknown_Mask);
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}
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void setScaleX(SkScalar v) { this->set(kMScaleX, v); }
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void setScaleY(SkScalar v) { this->set(kMScaleY, v); }
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void setSkewY(SkScalar v) { this->set(kMSkewY, v); }
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void setSkewX(SkScalar v) { this->set(kMSkewX, v); }
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void setTranslateX(SkScalar v) { this->set(kMTransX, v); }
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void setTranslateY(SkScalar v) { this->set(kMTransY, v); }
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void setPerspX(SkPersp v) { this->set(kMPersp0, v); }
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void setPerspY(SkPersp v) { this->set(kMPersp1, v); }
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void setAll(SkScalar scaleX, SkScalar skewX, SkScalar transX,
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SkScalar skewY, SkScalar scaleY, SkScalar transY,
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SkPersp persp0, SkPersp persp1, SkPersp persp2) {
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fMat[kMScaleX] = scaleX;
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fMat[kMSkewX] = skewX;
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fMat[kMTransX] = transX;
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fMat[kMSkewY] = skewY;
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fMat[kMScaleY] = scaleY;
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fMat[kMTransY] = transY;
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fMat[kMPersp0] = persp0;
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fMat[kMPersp1] = persp1;
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fMat[kMPersp2] = persp2;
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this->setTypeMask(kUnknown_Mask);
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}
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/** Set the matrix to identity
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*/
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void reset();
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// alias for reset()
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void setIdentity() { this->reset(); }
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/** Set the matrix to translate by (dx, dy).
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*/
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void setTranslate(SkScalar dx, SkScalar dy);
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void setTranslate(const SkVector& v) { this->setTranslate(v.fX, v.fY); }
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/** Set the matrix to scale by sx and sy, with a pivot point at (px, py).
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The pivot point is the coordinate that should remain unchanged by the
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specified transformation.
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*/
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void setScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py);
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/** Set the matrix to scale by sx and sy.
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*/
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void setScale(SkScalar sx, SkScalar sy);
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/** Set the matrix to scale by 1/divx and 1/divy. Returns false and doesn't
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touch the matrix if either divx or divy is zero.
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*/
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bool setIDiv(int divx, int divy);
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/** Set the matrix to rotate by the specified number of degrees, with a
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pivot point at (px, py). The pivot point is the coordinate that should
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remain unchanged by the specified transformation.
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*/
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void setRotate(SkScalar degrees, SkScalar px, SkScalar py);
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/** Set the matrix to rotate about (0,0) by the specified number of degrees.
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*/
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void setRotate(SkScalar degrees);
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/** Set the matrix to rotate by the specified sine and cosine values, with
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a pivot point at (px, py). The pivot point is the coordinate that
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should remain unchanged by the specified transformation.
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*/
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void setSinCos(SkScalar sinValue, SkScalar cosValue,
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SkScalar px, SkScalar py);
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/** Set the matrix to rotate by the specified sine and cosine values.
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*/
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void setSinCos(SkScalar sinValue, SkScalar cosValue);
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/** Set the matrix to skew by sx and sy, with a pivot point at (px, py).
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The pivot point is the coordinate that should remain unchanged by the
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specified transformation.
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*/
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void setSkew(SkScalar kx, SkScalar ky, SkScalar px, SkScalar py);
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/** Set the matrix to skew by sx and sy.
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*/
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void setSkew(SkScalar kx, SkScalar ky);
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/** Set the matrix to the concatenation of the two specified matrices,
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returning true if the the result can be represented. Either of the
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two matrices may also be the target matrix. *this = a * b;
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*/
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bool setConcat(const SkMatrix& a, const SkMatrix& b);
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/** Preconcats the matrix with the specified translation.
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M' = M * T(dx, dy)
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*/
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bool preTranslate(SkScalar dx, SkScalar dy);
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/** Preconcats the matrix with the specified scale.
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M' = M * S(sx, sy, px, py)
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*/
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bool preScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py);
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/** Preconcats the matrix with the specified scale.
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M' = M * S(sx, sy)
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*/
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bool preScale(SkScalar sx, SkScalar sy);
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/** Preconcats the matrix with the specified rotation.
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M' = M * R(degrees, px, py)
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*/
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bool preRotate(SkScalar degrees, SkScalar px, SkScalar py);
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/** Preconcats the matrix with the specified rotation.
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M' = M * R(degrees)
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*/
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bool preRotate(SkScalar degrees);
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/** Preconcats the matrix with the specified skew.
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M' = M * K(kx, ky, px, py)
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*/
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bool preSkew(SkScalar kx, SkScalar ky, SkScalar px, SkScalar py);
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/** Preconcats the matrix with the specified skew.
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M' = M * K(kx, ky)
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*/
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bool preSkew(SkScalar kx, SkScalar ky);
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/** Preconcats the matrix with the specified matrix.
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M' = M * other
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*/
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bool preConcat(const SkMatrix& other);
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/** Postconcats the matrix with the specified translation.
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M' = T(dx, dy) * M
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*/
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bool postTranslate(SkScalar dx, SkScalar dy);
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/** Postconcats the matrix with the specified scale.
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M' = S(sx, sy, px, py) * M
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*/
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bool postScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py);
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/** Postconcats the matrix with the specified scale.
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M' = S(sx, sy) * M
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*/
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bool postScale(SkScalar sx, SkScalar sy);
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/** Postconcats the matrix by dividing it by the specified integers.
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M' = S(1/divx, 1/divy, 0, 0) * M
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*/
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bool postIDiv(int divx, int divy);
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/** Postconcats the matrix with the specified rotation.
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M' = R(degrees, px, py) * M
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*/
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bool postRotate(SkScalar degrees, SkScalar px, SkScalar py);
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/** Postconcats the matrix with the specified rotation.
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M' = R(degrees) * M
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*/
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bool postRotate(SkScalar degrees);
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/** Postconcats the matrix with the specified skew.
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M' = K(kx, ky, px, py) * M
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*/
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bool postSkew(SkScalar kx, SkScalar ky, SkScalar px, SkScalar py);
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/** Postconcats the matrix with the specified skew.
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M' = K(kx, ky) * M
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*/
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bool postSkew(SkScalar kx, SkScalar ky);
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/** Postconcats the matrix with the specified matrix.
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M' = other * M
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*/
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bool postConcat(const SkMatrix& other);
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enum ScaleToFit {
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/**
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* Scale in X and Y independently, so that src matches dst exactly.
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* This may change the aspect ratio of the src.
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*/
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kFill_ScaleToFit,
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/**
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* Compute a scale that will maintain the original src aspect ratio,
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* but will also ensure that src fits entirely inside dst. At least one
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* axis (X or Y) will fit exactly. kStart aligns the result to the
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* left and top edges of dst.
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*/
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kStart_ScaleToFit,
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/**
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* Compute a scale that will maintain the original src aspect ratio,
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* but will also ensure that src fits entirely inside dst. At least one
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* axis (X or Y) will fit exactly. The result is centered inside dst.
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*/
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kCenter_ScaleToFit,
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/**
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* Compute a scale that will maintain the original src aspect ratio,
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* but will also ensure that src fits entirely inside dst. At least one
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* axis (X or Y) will fit exactly. kEnd aligns the result to the
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* right and bottom edges of dst.
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*/
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kEnd_ScaleToFit
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};
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/** Set the matrix to the scale and translate values that map the source
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rectangle to the destination rectangle, returning true if the the result
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can be represented.
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@param src the source rectangle to map from.
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@param dst the destination rectangle to map to.
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@param stf the ScaleToFit option
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@return true if the matrix can be represented by the rectangle mapping.
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*/
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bool setRectToRect(const SkRect& src, const SkRect& dst, ScaleToFit stf);
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/** Set the matrix such that the specified src points would map to the
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specified dst points. count must be within [0..4].
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@param src The array of src points
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@param dst The array of dst points
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@param count The number of points to use for the transformation
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@return true if the matrix was set to the specified transformation
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*/
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bool setPolyToPoly(const SkPoint src[], const SkPoint dst[], int count);
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/** If this matrix can be inverted, return true and if inverse is not null,
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set inverse to be the inverse of this matrix. If this matrix cannot be
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inverted, ignore inverse and return false
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*/
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bool SK_WARN_UNUSED_RESULT invert(SkMatrix* inverse) const {
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// Allow the trivial case to be inlined.
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if (this->isIdentity()) {
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if (NULL != inverse) {
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inverse->reset();
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}
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return true;
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}
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return this->invertNonIdentity(inverse);
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}
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/** Fills the passed array with affine identity values
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in column major order.
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@param affine The array to fill with affine identity values.
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Must not be NULL.
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*/
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static void SetAffineIdentity(SkScalar affine[6]);
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/** Fills the passed array with the affine values in column major order.
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If the matrix is a perspective transform, returns false
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and does not change the passed array.
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@param affine The array to fill with affine values. Ignored if NULL.
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*/
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bool asAffine(SkScalar affine[6]) const;
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/** Apply this matrix to the array of points specified by src, and write
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the transformed points into the array of points specified by dst.
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dst[] = M * src[]
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@param dst Where the transformed coordinates are written. It must
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contain at least count entries
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@param src The original coordinates that are to be transformed. It
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must contain at least count entries
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@param count The number of points in src to read, and then transform
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into dst.
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*/
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void mapPoints(SkPoint dst[], const SkPoint src[], int count) const;
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/** Apply this matrix to the array of points, overwriting it with the
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transformed values.
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dst[] = M * pts[]
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@param pts The points to be transformed. It must contain at least
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count entries
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@param count The number of points in pts.
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*/
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void mapPoints(SkPoint pts[], int count) const {
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this->mapPoints(pts, pts, count);
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}
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/** Like mapPoints but with custom byte stride between the points. Stride
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* should be a multiple of sizeof(SkScalar).
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*/
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void mapPointsWithStride(SkPoint pts[], size_t stride, int count) const {
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SkASSERT(stride >= sizeof(SkPoint));
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SkASSERT(0 == stride % sizeof(SkScalar));
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for (int i = 0; i < count; ++i) {
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this->mapPoints(pts, pts, 1);
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pts = (SkPoint*)((intptr_t)pts + stride);
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}
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}
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/** Like mapPoints but with custom byte stride between the points.
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*/
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void mapPointsWithStride(SkPoint dst[], SkPoint src[],
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size_t stride, int count) const {
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SkASSERT(stride >= sizeof(SkPoint));
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SkASSERT(0 == stride % sizeof(SkScalar));
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for (int i = 0; i < count; ++i) {
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this->mapPoints(dst, src, 1);
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src = (SkPoint*)((intptr_t)src + stride);
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dst = (SkPoint*)((intptr_t)dst + stride);
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}
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}
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void mapXY(SkScalar x, SkScalar y, SkPoint* result) const {
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SkASSERT(result);
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this->getMapXYProc()(*this, x, y, result);
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}
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/** Apply this matrix to the array of vectors specified by src, and write
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the transformed vectors into the array of vectors specified by dst.
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This is similar to mapPoints, but ignores any translation in the matrix.
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@param dst Where the transformed coordinates are written. It must
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contain at least count entries
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@param src The original coordinates that are to be transformed. It
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must contain at least count entries
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@param count The number of vectors in src to read, and then transform
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into dst.
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*/
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void mapVectors(SkVector dst[], const SkVector src[], int count) const;
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/** Apply this matrix to the array of vectors specified by src, and write
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the transformed vectors into the array of vectors specified by dst.
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This is similar to mapPoints, but ignores any translation in the matrix.
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@param vecs The vectors to be transformed. It must contain at least
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count entries
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@param count The number of vectors in vecs.
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*/
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void mapVectors(SkVector vecs[], int count) const {
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this->mapVectors(vecs, vecs, count);
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}
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/** Apply this matrix to the src rectangle, and write the transformed
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rectangle into dst. This is accomplished by transforming the 4 corners
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of src, and then setting dst to the bounds of those points.
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@param dst Where the transformed rectangle is written.
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@param src The original rectangle to be transformed.
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@return the result of calling rectStaysRect()
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*/
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bool mapRect(SkRect* dst, const SkRect& src) const;
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/** Apply this matrix to the rectangle, and write the transformed rectangle
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back into it. This is accomplished by transforming the 4 corners of
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rect, and then setting it to the bounds of those points
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@param rect The rectangle to transform.
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@return the result of calling rectStaysRect()
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*/
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bool mapRect(SkRect* rect) const {
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return this->mapRect(rect, *rect);
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}
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/** Return the mean radius of a circle after it has been mapped by
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this matrix. NOTE: in perspective this value assumes the circle
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has its center at the origin.
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*/
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SkScalar mapRadius(SkScalar radius) const;
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typedef void (*MapXYProc)(const SkMatrix& mat, SkScalar x, SkScalar y,
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SkPoint* result);
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static MapXYProc GetMapXYProc(TypeMask mask) {
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SkASSERT((mask & ~kAllMasks) == 0);
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return gMapXYProcs[mask & kAllMasks];
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}
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MapXYProc getMapXYProc() const {
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return GetMapXYProc(this->getType());
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}
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typedef void (*MapPtsProc)(const SkMatrix& mat, SkPoint dst[],
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const SkPoint src[], int count);
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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;
|
|
|
|
/** Efficient comparison of two matrices. It distinguishes between zero and
|
|
* negative zero. It will return false when the sign of zero values is the
|
|
* only difference between the two matrices. It considers NaN values to be
|
|
* equal to themselves. So a matrix full of NaNs is "cheap equal" to
|
|
* another matrix full of NaNs iff the NaN values are bitwise identical
|
|
* while according to strict the strict == test a matrix with a NaN value
|
|
* is equal to nothing, including itself.
|
|
*/
|
|
bool cheapEqualTo(const SkMatrix& m) const {
|
|
return 0 == memcmp(fMat, m.fMat, sizeof(fMat));
|
|
}
|
|
|
|
#ifdef SK_SCALAR_IS_FIXED
|
|
friend bool operator==(const SkMatrix& a, const SkMatrix& b) {
|
|
return a.cheapEqualTo(b);
|
|
}
|
|
#else
|
|
friend bool operator==(const SkMatrix& a, const SkMatrix& b);
|
|
#endif
|
|
friend bool operator!=(const SkMatrix& a, const SkMatrix& b) {
|
|
return !(a == b);
|
|
}
|
|
|
|
enum {
|
|
// writeTo/readFromMemory 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 writeToMemory(void* buffer) const;
|
|
// return the number of bytes read
|
|
uint32_t readFromMemory(const void* buffer);
|
|
|
|
void dump() const;
|
|
void toDumpString(SkString*) const;
|
|
|
|
/**
|
|
* Calculates the maximum stretching factor of the matrix. If the matrix has
|
|
* perspective -1 is returned.
|
|
*
|
|
* @return maximum strecthing factor
|
|
*/
|
|
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();
|
|
|
|
/**
|
|
* Testing routine; the matrix's type cache should never need to be
|
|
* manually invalidated during normal use.
|
|
*/
|
|
void dirtyMatrixTypeCache() {
|
|
this->setTypeMask(kUnknown_Mask);
|
|
}
|
|
|
|
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 will be set on identity matrices
|
|
*/
|
|
kRectStaysRect_Mask = 0x10,
|
|
|
|
/** Set if the perspective bit is valid even though the rest of
|
|
the matrix is Unknown.
|
|
*/
|
|
kOnlyPerspectiveValid_Mask = 0x40,
|
|
|
|
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 uint32_t fTypeMask;
|
|
|
|
uint8_t computeTypeMask() const;
|
|
uint8_t computePerspectiveTypeMask() const;
|
|
|
|
void setTypeMask(int mask) {
|
|
// allow kUnknown or a valid mask
|
|
SkASSERT(kUnknown_Mask == mask || (mask & kAllMasks) == mask ||
|
|
((kUnknown_Mask | kOnlyPerspectiveValid_Mask) & mask)
|
|
== (kUnknown_Mask | kOnlyPerspectiveValid_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;
|
|
}
|
|
|
|
TypeMask getPerspectiveTypeMaskOnly() const {
|
|
if ((fTypeMask & kUnknown_Mask) &&
|
|
!(fTypeMask & kOnlyPerspectiveValid_Mask)) {
|
|
fTypeMask = this->computePerspectiveTypeMask();
|
|
}
|
|
return (TypeMask)(fTypeMask & 0xF);
|
|
}
|
|
|
|
/** Returns true if we already know that the matrix is identity;
|
|
false otherwise.
|
|
*/
|
|
bool isTriviallyIdentity() const {
|
|
if (fTypeMask & kUnknown_Mask) {
|
|
return false;
|
|
}
|
|
return ((fTypeMask & 0xF) == 0);
|
|
}
|
|
|
|
bool SK_WARN_UNUSED_RESULT invertNonIdentity(SkMatrix* inverse) const;
|
|
|
|
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
|