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496 lines
16 KiB
496 lines
16 KiB
/*
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* Copyright 2011 Google Inc.
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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 SkMatrix44_DEFINED
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#define SkMatrix44_DEFINED
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#include "SkMatrix.h"
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#include "SkScalar.h"
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#include <atomic>
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#include <cstring>
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#ifdef SK_MSCALAR_IS_DOUBLE
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#ifdef SK_MSCALAR_IS_FLOAT
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#error "can't define MSCALAR both as DOUBLE and FLOAT"
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#endif
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typedef double SkMScalar;
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static inline double SkFloatToMScalar(float x) {
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return static_cast<double>(x);
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}
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static inline float SkMScalarToFloat(double x) {
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return static_cast<float>(x);
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}
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static inline double SkDoubleToMScalar(double x) {
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return x;
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}
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static inline double SkMScalarToDouble(double x) {
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return x;
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}
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static inline double SkMScalarAbs(double x) {
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return fabs(x);
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}
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static const SkMScalar SK_MScalarPI = 3.141592653589793;
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#define SkMScalarFloor(x) sk_double_floor(x)
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#define SkMScalarCeil(x) sk_double_ceil(x)
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#define SkMScalarRound(x) sk_double_round(x)
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#define SkMScalarFloorToInt(x) sk_double_floor2int(x)
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#define SkMScalarCeilToInt(x) sk_double_ceil2int(x)
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#define SkMScalarRoundToInt(x) sk_double_round2int(x)
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#elif defined SK_MSCALAR_IS_FLOAT
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#ifdef SK_MSCALAR_IS_DOUBLE
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#error "can't define MSCALAR both as DOUBLE and FLOAT"
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#endif
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typedef float SkMScalar;
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static inline float SkFloatToMScalar(float x) {
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return x;
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}
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static inline float SkMScalarToFloat(float x) {
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return x;
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}
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static inline float SkDoubleToMScalar(double x) {
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return sk_double_to_float(x);
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}
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static inline double SkMScalarToDouble(float x) {
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return static_cast<double>(x);
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}
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static inline float SkMScalarAbs(float x) {
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return sk_float_abs(x);
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}
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static const SkMScalar SK_MScalarPI = 3.14159265f;
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#define SkMScalarFloor(x) sk_float_floor(x)
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#define SkMScalarCeil(x) sk_float_ceil(x)
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#define SkMScalarRound(x) sk_float_round(x)
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#define SkMScalarFloorToInt(x) sk_float_floor2int(x)
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#define SkMScalarCeilToInt(x) sk_float_ceil2int(x)
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#define SkMScalarRoundToInt(x) sk_float_round2int(x)
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#endif
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#define SkIntToMScalar(n) static_cast<SkMScalar>(n)
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#define SkMScalarToScalar(x) SkMScalarToFloat(x)
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#define SkScalarToMScalar(x) SkFloatToMScalar(x)
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static const SkMScalar SK_MScalar1 = 1;
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///////////////////////////////////////////////////////////////////////////////
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struct SkVector4 {
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SkScalar fData[4];
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SkVector4() {
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this->set(0, 0, 0, 1);
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}
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SkVector4(const SkVector4& src) {
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memcpy(fData, src.fData, sizeof(fData));
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}
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SkVector4(SkScalar x, SkScalar y, SkScalar z, SkScalar w = SK_Scalar1) {
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fData[0] = x;
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fData[1] = y;
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fData[2] = z;
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fData[3] = w;
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}
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SkVector4& operator=(const SkVector4& src) {
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memcpy(fData, src.fData, sizeof(fData));
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return *this;
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}
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bool operator==(const SkVector4& v) {
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return fData[0] == v.fData[0] && fData[1] == v.fData[1] &&
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fData[2] == v.fData[2] && fData[3] == v.fData[3];
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}
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bool operator!=(const SkVector4& v) {
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return !(*this == v);
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}
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bool equals(SkScalar x, SkScalar y, SkScalar z, SkScalar w = SK_Scalar1) {
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return fData[0] == x && fData[1] == y &&
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fData[2] == z && fData[3] == w;
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}
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void set(SkScalar x, SkScalar y, SkScalar z, SkScalar w = SK_Scalar1) {
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fData[0] = x;
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fData[1] = y;
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fData[2] = z;
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fData[3] = w;
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}
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};
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/** \class SkMatrix44
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The SkMatrix44 class holds a 4x4 matrix.
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SkMatrix44 is not thread safe unless you've first called SkMatrix44::getType().
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*/
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class SK_API SkMatrix44 {
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public:
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enum Uninitialized_Constructor {
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kUninitialized_Constructor
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};
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enum Identity_Constructor {
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kIdentity_Constructor
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};
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SkMatrix44(Uninitialized_Constructor) {} // ironically, cannot be constexpr
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constexpr SkMatrix44(Identity_Constructor)
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: fMat{{ 1, 0, 0, 0, },
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{ 0, 1, 0, 0, },
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{ 0, 0, 1, 0, },
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{ 0, 0, 0, 1, }}
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, fTypeMask(kIdentity_Mask)
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{}
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constexpr SkMatrix44() : SkMatrix44{kIdentity_Constructor} {}
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SkMatrix44(const SkMatrix44& src) {
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memcpy(fMat, src.fMat, sizeof(fMat));
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fTypeMask.store(src.fTypeMask, std::memory_order_relaxed);
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}
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SkMatrix44(const SkMatrix44& a, const SkMatrix44& b) {
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this->setConcat(a, b);
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}
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SkMatrix44& operator=(const SkMatrix44& src) {
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if (&src != this) {
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memcpy(fMat, src.fMat, sizeof(fMat));
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fTypeMask.store(src.fTypeMask, std::memory_order_relaxed);
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}
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return *this;
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}
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bool operator==(const SkMatrix44& other) const;
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bool operator!=(const SkMatrix44& other) const {
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return !(other == *this);
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}
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/* When converting from SkMatrix44 to SkMatrix, the third row and
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* column is dropped. When converting from SkMatrix to SkMatrix44
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* the third row and column remain as identity:
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* [ a b c ] [ a b 0 c ]
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* [ d e f ] -> [ d e 0 f ]
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* [ g h i ] [ 0 0 1 0 ]
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* [ g h 0 i ]
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*/
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SkMatrix44(const SkMatrix&);
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SkMatrix44& operator=(const SkMatrix& src);
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operator SkMatrix() const;
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/**
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* Return a reference to a const identity matrix
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*/
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static const SkMatrix44& I();
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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 any scale != 1
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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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/**
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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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inline TypeMask getType() const {
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if (fTypeMask.load(std::memory_order_relaxed) & kUnknown_Mask) {
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fTypeMask.store(this->computeTypeMask(), std::memory_order_relaxed);
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}
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SkASSERT(!(fTypeMask & kUnknown_Mask));
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return (TypeMask)fTypeMask.load(std::memory_order_relaxed);
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}
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/**
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* Return true if the matrix is identity.
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*/
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inline bool isIdentity() const {
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return kIdentity_Mask == this->getType();
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}
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/**
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* Return true if the matrix contains translate or is identity.
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*/
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inline bool isTranslate() const {
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return !(this->getType() & ~kTranslate_Mask);
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}
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/**
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* Return true if the matrix only contains scale or translate or is identity.
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*/
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inline bool isScaleTranslate() const {
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return !(this->getType() & ~(kScale_Mask | kTranslate_Mask));
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}
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/**
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* Returns true if the matrix only contains scale or is identity.
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*/
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inline bool isScale() const {
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return !(this->getType() & ~kScale_Mask);
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}
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inline bool hasPerspective() const {
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return SkToBool(this->getType() & kPerspective_Mask);
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}
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void setIdentity();
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inline void reset() { this->setIdentity();}
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/**
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* get a value from the matrix. The row,col parameters work as follows:
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* (0, 0) scale-x
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* (0, 3) translate-x
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* (3, 0) perspective-x
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*/
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inline SkMScalar get(int row, int col) const {
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SkASSERT((unsigned)row <= 3);
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SkASSERT((unsigned)col <= 3);
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return fMat[col][row];
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}
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/**
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* set a value in the matrix. The row,col parameters work as follows:
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* (0, 0) scale-x
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* (0, 3) translate-x
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* (3, 0) perspective-x
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*/
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inline void set(int row, int col, SkMScalar value) {
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SkASSERT((unsigned)row <= 3);
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SkASSERT((unsigned)col <= 3);
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fMat[col][row] = value;
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this->dirtyTypeMask();
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}
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inline double getDouble(int row, int col) const {
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return SkMScalarToDouble(this->get(row, col));
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}
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inline void setDouble(int row, int col, double value) {
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this->set(row, col, SkDoubleToMScalar(value));
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}
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inline float getFloat(int row, int col) const {
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return SkMScalarToFloat(this->get(row, col));
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}
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inline void setFloat(int row, int col, float value) {
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this->set(row, col, SkFloatToMScalar(value));
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}
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/** These methods allow one to efficiently read matrix entries into an
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* array. The given array must have room for exactly 16 entries. Whenever
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* possible, they will try to use memcpy rather than an entry-by-entry
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* copy.
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*
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* Col major indicates that consecutive elements of columns will be stored
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* contiguously in memory. Row major indicates that consecutive elements
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* of rows will be stored contiguously in memory.
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*/
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void asColMajorf(float[]) const;
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void asColMajord(double[]) const;
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void asRowMajorf(float[]) const;
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void asRowMajord(double[]) const;
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/** These methods allow one to efficiently set all matrix entries from an
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* array. The given array must have room for exactly 16 entries. Whenever
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* possible, they will try to use memcpy rather than an entry-by-entry
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* copy.
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*
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* Col major indicates that input memory will be treated as if consecutive
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* elements of columns are stored contiguously in memory. Row major
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* indicates that input memory will be treated as if consecutive elements
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* of rows are stored contiguously in memory.
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*/
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void setColMajorf(const float[]);
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void setColMajord(const double[]);
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void setRowMajorf(const float[]);
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void setRowMajord(const double[]);
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#ifdef SK_MSCALAR_IS_FLOAT
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void setColMajor(const SkMScalar data[]) { this->setColMajorf(data); }
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void setRowMajor(const SkMScalar data[]) { this->setRowMajorf(data); }
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#else
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void setColMajor(const SkMScalar data[]) { this->setColMajord(data); }
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void setRowMajor(const SkMScalar data[]) { this->setRowMajord(data); }
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#endif
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/* This sets the top-left of the matrix and clears the translation and
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* perspective components (with [3][3] set to 1). m_ij is interpreted
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* as the matrix entry at row = i, col = j. */
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void set3x3(SkMScalar m_00, SkMScalar m_10, SkMScalar m_20,
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SkMScalar m_01, SkMScalar m_11, SkMScalar m_21,
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SkMScalar m_02, SkMScalar m_12, SkMScalar m_22);
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void set3x3RowMajorf(const float[]);
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void setTranslate(SkMScalar dx, SkMScalar dy, SkMScalar dz);
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void preTranslate(SkMScalar dx, SkMScalar dy, SkMScalar dz);
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void postTranslate(SkMScalar dx, SkMScalar dy, SkMScalar dz);
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void setScale(SkMScalar sx, SkMScalar sy, SkMScalar sz);
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void preScale(SkMScalar sx, SkMScalar sy, SkMScalar sz);
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void postScale(SkMScalar sx, SkMScalar sy, SkMScalar sz);
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inline void setScale(SkMScalar scale) {
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this->setScale(scale, scale, scale);
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}
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inline void preScale(SkMScalar scale) {
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this->preScale(scale, scale, scale);
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}
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inline void postScale(SkMScalar scale) {
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this->postScale(scale, scale, scale);
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}
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void setRotateDegreesAbout(SkMScalar x, SkMScalar y, SkMScalar z,
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SkMScalar degrees) {
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this->setRotateAbout(x, y, z, degrees * SK_MScalarPI / 180);
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}
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/** Rotate about the vector [x,y,z]. If that vector is not unit-length,
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it will be automatically resized.
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*/
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void setRotateAbout(SkMScalar x, SkMScalar y, SkMScalar z,
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SkMScalar radians);
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/** Rotate about the vector [x,y,z]. Does not check the length of the
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vector, assuming it is unit-length.
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*/
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void setRotateAboutUnit(SkMScalar x, SkMScalar y, SkMScalar z,
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SkMScalar radians);
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void setConcat(const SkMatrix44& a, const SkMatrix44& b);
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inline void preConcat(const SkMatrix44& m) {
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this->setConcat(*this, m);
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}
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inline void postConcat(const SkMatrix44& m) {
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this->setConcat(m, *this);
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}
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friend SkMatrix44 operator*(const SkMatrix44& a, const SkMatrix44& b) {
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return SkMatrix44(a, b);
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}
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/** If this is invertible, return that in inverse and return true. If it is
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not invertible, return false and leave the inverse parameter in an
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unspecified state.
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*/
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bool invert(SkMatrix44* inverse) const;
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/** Transpose this matrix in place. */
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void transpose();
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/** Apply the matrix to the src vector, returning the new vector in dst.
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It is legal for src and dst to point to the same memory.
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*/
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void mapScalars(const SkScalar src[4], SkScalar dst[4]) const;
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inline void mapScalars(SkScalar vec[4]) const {
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this->mapScalars(vec, vec);
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}
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#ifdef SK_MSCALAR_IS_DOUBLE
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void mapMScalars(const SkMScalar src[4], SkMScalar dst[4]) const;
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#elif defined SK_MSCALAR_IS_FLOAT
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inline void mapMScalars(const SkMScalar src[4], SkMScalar dst[4]) const {
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this->mapScalars(src, dst);
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}
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#endif
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inline void mapMScalars(SkMScalar vec[4]) const {
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this->mapMScalars(vec, vec);
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}
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friend SkVector4 operator*(const SkMatrix44& m, const SkVector4& src) {
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SkVector4 dst;
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m.mapScalars(src.fData, dst.fData);
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return dst;
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}
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/**
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* map an array of [x, y, 0, 1] through the matrix, returning an array
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* of [x', y', z', w'].
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*
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* @param src2 array of [x, y] pairs, with implied z=0 and w=1
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* @param count number of [x, y] pairs in src2
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* @param dst4 array of [x', y', z', w'] quads as the output.
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*/
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void map2(const float src2[], int count, float dst4[]) const;
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void map2(const double src2[], int count, double dst4[]) const;
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/** Returns true if transformating an axis-aligned square in 2d by this matrix
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will produce another 2d axis-aligned square; typically means the matrix
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is a scale with perhaps a 90-degree rotation. A 3d rotation through 90
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degrees into a perpendicular plane collapses a square to a line, but
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is still considered to be axis-aligned.
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By default, tolerates very slight error due to float imprecisions;
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a 90-degree rotation can still end up with 10^-17 of
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"non-axis-aligned" result.
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*/
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bool preserves2dAxisAlignment(SkMScalar epsilon = SK_ScalarNearlyZero) const;
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void dump() const;
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double determinant() const;
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private:
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/* This is indexed by [col][row]. */
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SkMScalar fMat[4][4];
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mutable std::atomic<unsigned> fTypeMask;
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static constexpr int kUnknown_Mask = 0x80;
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static constexpr int kAllPublic_Masks = 0xF;
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void as3x4RowMajorf(float[]) const;
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void set3x4RowMajorf(const float[]);
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SkMScalar transX() const { return fMat[3][0]; }
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SkMScalar transY() const { return fMat[3][1]; }
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SkMScalar transZ() const { return fMat[3][2]; }
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SkMScalar scaleX() const { return fMat[0][0]; }
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SkMScalar scaleY() const { return fMat[1][1]; }
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SkMScalar scaleZ() const { return fMat[2][2]; }
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SkMScalar perspX() const { return fMat[0][3]; }
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SkMScalar perspY() const { return fMat[1][3]; }
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SkMScalar perspZ() const { return fMat[2][3]; }
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int computeTypeMask() const;
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inline void dirtyTypeMask() {
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fTypeMask.store(kUnknown_Mask, std::memory_order_relaxed);
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}
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inline void setTypeMask(int mask) {
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SkASSERT(0 == (~(kAllPublic_Masks | kUnknown_Mask) & mask));
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fTypeMask.store(mask, std::memory_order_relaxed);
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}
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/**
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* Does not take the time to 'compute' the typemask. Only returns true if
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* we already know that this matrix is identity.
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*/
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inline bool isTriviallyIdentity() const {
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return 0 == fTypeMask.load(std::memory_order_relaxed);
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}
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inline const SkMScalar* values() const { return &fMat[0][0]; }
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friend class SkColorSpace;
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};
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#endif
|