TransformationMatrix.h [plain text]
#ifndef TransformationMatrix_h
#define TransformationMatrix_h
#include "FloatPoint.h"
#include "FloatPoint3D.h"
#include "IntPoint.h"
#include <string.h> //for memcpy
#include <wtf/FastMalloc.h>
#if USE(CA)
typedef struct CATransform3D CATransform3D;
#endif
#if USE(CG)
typedef struct CGAffineTransform CGAffineTransform;
#elif USE(CAIRO)
#include <cairo.h>
#endif
#if PLATFORM(WIN) || (PLATFORM(GTK) && OS(WINDOWS))
#if COMPILER(MINGW) && !COMPILER(MINGW64)
typedef struct _XFORM XFORM;
#else
typedef struct tagXFORM XFORM;
#endif
#endif
namespace WebCore {
class AffineTransform;
class IntRect;
class LayoutRect;
class FloatRect;
class FloatQuad;
#if CPU(X86_64)
#define TRANSFORMATION_MATRIX_USE_X86_64_SSE2
#endif
class TransformationMatrix {
WTF_MAKE_FAST_ALLOCATED;
public:
#if CPU(APPLE_ARMV7S) || defined(TRANSFORMATION_MATRIX_USE_X86_64_SSE2)
#if COMPILER(MSVC)
__declspec(align(16)) typedef double Matrix4[4][4];
#else
typedef double Matrix4[4][4] __attribute__((aligned (16)));
#endif
#else
typedef double Matrix4[4][4];
#endif
TransformationMatrix() { makeIdentity(); }
TransformationMatrix(const AffineTransform& t);
TransformationMatrix(const TransformationMatrix& t) { *this = t; }
TransformationMatrix(double a, double b, double c, double d, double e, double f) { setMatrix(a, b, c, d, e, f); }
TransformationMatrix(double m11, double m12, double m13, double m14,
double m21, double m22, double m23, double m24,
double m31, double m32, double m33, double m34,
double m41, double m42, double m43, double m44)
{
setMatrix(m11, m12, m13, m14, m21, m22, m23, m24, m31, m32, m33, m34, m41, m42, m43, m44);
}
void setMatrix(double a, double b, double c, double d, double e, double f)
{
m_matrix[0][0] = a; m_matrix[0][1] = b; m_matrix[0][2] = 0; m_matrix[0][3] = 0;
m_matrix[1][0] = c; m_matrix[1][1] = d; m_matrix[1][2] = 0; m_matrix[1][3] = 0;
m_matrix[2][0] = 0; m_matrix[2][1] = 0; m_matrix[2][2] = 1; m_matrix[2][3] = 0;
m_matrix[3][0] = e; m_matrix[3][1] = f; m_matrix[3][2] = 0; m_matrix[3][3] = 1;
}
void setMatrix(double m11, double m12, double m13, double m14,
double m21, double m22, double m23, double m24,
double m31, double m32, double m33, double m34,
double m41, double m42, double m43, double m44)
{
m_matrix[0][0] = m11; m_matrix[0][1] = m12; m_matrix[0][2] = m13; m_matrix[0][3] = m14;
m_matrix[1][0] = m21; m_matrix[1][1] = m22; m_matrix[1][2] = m23; m_matrix[1][3] = m24;
m_matrix[2][0] = m31; m_matrix[2][1] = m32; m_matrix[2][2] = m33; m_matrix[2][3] = m34;
m_matrix[3][0] = m41; m_matrix[3][1] = m42; m_matrix[3][2] = m43; m_matrix[3][3] = m44;
}
TransformationMatrix& operator =(const TransformationMatrix &t)
{
setMatrix(t.m_matrix);
return *this;
}
TransformationMatrix& makeIdentity()
{
setMatrix(1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1);
return *this;
}
bool isIdentity() const
{
return m_matrix[0][0] == 1 && m_matrix[0][1] == 0 && m_matrix[0][2] == 0 && m_matrix[0][3] == 0 &&
m_matrix[1][0] == 0 && m_matrix[1][1] == 1 && m_matrix[1][2] == 0 && m_matrix[1][3] == 0 &&
m_matrix[2][0] == 0 && m_matrix[2][1] == 0 && m_matrix[2][2] == 1 && m_matrix[2][3] == 0 &&
m_matrix[3][0] == 0 && m_matrix[3][1] == 0 && m_matrix[3][2] == 0 && m_matrix[3][3] == 1;
}
void map(double x, double y, double& x2, double& y2) const { multVecMatrix(x, y, x2, y2); }
FloatPoint3D mapPoint(const FloatPoint3D&) const;
FloatPoint mapPoint(const FloatPoint&) const;
IntPoint mapPoint(const IntPoint& p) const
{
return roundedIntPoint(mapPoint(FloatPoint(p)));
}
WEBCORE_EXPORT FloatRect mapRect(const FloatRect&) const;
WEBCORE_EXPORT IntRect mapRect(const IntRect&) const;
LayoutRect mapRect(const LayoutRect&) const;
FloatQuad mapQuad(const FloatQuad&) const;
FloatPoint projectPoint(const FloatPoint&, bool* clamped = 0) const;
FloatQuad projectQuad(const FloatQuad&, bool* clamped = 0) const;
LayoutRect clampedBoundsOfProjectedQuad(const FloatQuad&) const;
double m11() const { return m_matrix[0][0]; }
void setM11(double f) { m_matrix[0][0] = f; }
double m12() const { return m_matrix[0][1]; }
void setM12(double f) { m_matrix[0][1] = f; }
double m13() const { return m_matrix[0][2]; }
void setM13(double f) { m_matrix[0][2] = f; }
double m14() const { return m_matrix[0][3]; }
void setM14(double f) { m_matrix[0][3] = f; }
double m21() const { return m_matrix[1][0]; }
void setM21(double f) { m_matrix[1][0] = f; }
double m22() const { return m_matrix[1][1]; }
void setM22(double f) { m_matrix[1][1] = f; }
double m23() const { return m_matrix[1][2]; }
void setM23(double f) { m_matrix[1][2] = f; }
double m24() const { return m_matrix[1][3]; }
void setM24(double f) { m_matrix[1][3] = f; }
double m31() const { return m_matrix[2][0]; }
void setM31(double f) { m_matrix[2][0] = f; }
double m32() const { return m_matrix[2][1]; }
void setM32(double f) { m_matrix[2][1] = f; }
double m33() const { return m_matrix[2][2]; }
void setM33(double f) { m_matrix[2][2] = f; }
double m34() const { return m_matrix[2][3]; }
void setM34(double f) { m_matrix[2][3] = f; }
double m41() const { return m_matrix[3][0]; }
void setM41(double f) { m_matrix[3][0] = f; }
double m42() const { return m_matrix[3][1]; }
void setM42(double f) { m_matrix[3][1] = f; }
double m43() const { return m_matrix[3][2]; }
void setM43(double f) { m_matrix[3][2] = f; }
double m44() const { return m_matrix[3][3]; }
void setM44(double f) { m_matrix[3][3] = f; }
double a() const { return m_matrix[0][0]; }
void setA(double a) { m_matrix[0][0] = a; }
double b() const { return m_matrix[0][1]; }
void setB(double b) { m_matrix[0][1] = b; }
double c() const { return m_matrix[1][0]; }
void setC(double c) { m_matrix[1][0] = c; }
double d() const { return m_matrix[1][1]; }
void setD(double d) { m_matrix[1][1] = d; }
double e() const { return m_matrix[3][0]; }
void setE(double e) { m_matrix[3][0] = e; }
double f() const { return m_matrix[3][1]; }
void setF(double f) { m_matrix[3][1] = f; }
TransformationMatrix& multiply(const TransformationMatrix&);
WEBCORE_EXPORT TransformationMatrix& scale(double);
TransformationMatrix& scaleNonUniform(double sx, double sy);
TransformationMatrix& scale3d(double sx, double sy, double sz);
TransformationMatrix& rotate(double d) { return rotate3d(0, 0, d); }
TransformationMatrix& rotateFromVector(double x, double y);
TransformationMatrix& rotate3d(double rx, double ry, double rz);
TransformationMatrix& rotate3d(double x, double y, double z, double angle);
WEBCORE_EXPORT TransformationMatrix& translate(double tx, double ty);
TransformationMatrix& translate3d(double tx, double ty, double tz);
TransformationMatrix& translateRight(double tx, double ty);
TransformationMatrix& translateRight3d(double tx, double ty, double tz);
TransformationMatrix& flipX();
TransformationMatrix& flipY();
TransformationMatrix& skew(double angleX, double angleY);
TransformationMatrix& skewX(double angle) { return skew(angle, 0); }
TransformationMatrix& skewY(double angle) { return skew(0, angle); }
TransformationMatrix& applyPerspective(double p);
bool hasPerspective() const { return m_matrix[2][3] != 0.0f; }
static TransformationMatrix rectToRect(const FloatRect&, const FloatRect&);
bool isInvertible() const;
WEBCORE_EXPORT TransformationMatrix inverse() const;
struct Decomposed2Type {
double scaleX, scaleY;
double translateX, translateY;
double angle;
double m11, m12, m21, m22;
bool operator==(const Decomposed2Type& other) const
{
return scaleX == other.scaleX && scaleY == other.scaleY
&& translateX == other.translateX && translateY == other.translateY
&& angle == other.angle
&& m11 == other.m11 && m12 == other.m12 && m21 == other.m21 && m22 == other.m22;
}
};
struct Decomposed4Type {
double scaleX, scaleY, scaleZ;
double skewXY, skewXZ, skewYZ;
double quaternionX, quaternionY, quaternionZ, quaternionW;
double translateX, translateY, translateZ;
double perspectiveX, perspectiveY, perspectiveZ, perspectiveW;
bool operator==(const Decomposed4Type& other) const
{
return scaleX == other.scaleX && scaleY == other.scaleY && scaleZ == other.scaleZ
&& skewXY == other.skewXY && skewXZ == other.skewXZ && skewYZ == other.skewYZ
&& quaternionX == other.quaternionX && quaternionY == other.quaternionY && quaternionZ == other.quaternionZ && quaternionW == other.quaternionW
&& translateX == other.translateX && translateY == other.translateY && translateZ == other.translateZ
&& perspectiveX == other.perspectiveX && perspectiveY == other.perspectiveY && perspectiveZ == other.perspectiveZ && perspectiveW == other.perspectiveW;
}
};
bool decompose2(Decomposed2Type&) const;
void recompose2(const Decomposed2Type&);
bool decompose4(Decomposed4Type&) const;
void recompose4(const Decomposed4Type&);
void blend(const TransformationMatrix& from, double progress);
void blend2(const TransformationMatrix& from, double progress);
void blend4(const TransformationMatrix& from, double progress);
bool isAffine() const
{
return (m13() == 0 && m14() == 0 && m23() == 0 && m24() == 0 &&
m31() == 0 && m32() == 0 && m33() == 1 && m34() == 0 && m43() == 0 && m44() == 1);
}
void makeAffine();
AffineTransform toAffineTransform() const;
bool operator==(const TransformationMatrix& m2) const
{
return (m_matrix[0][0] == m2.m_matrix[0][0] &&
m_matrix[0][1] == m2.m_matrix[0][1] &&
m_matrix[0][2] == m2.m_matrix[0][2] &&
m_matrix[0][3] == m2.m_matrix[0][3] &&
m_matrix[1][0] == m2.m_matrix[1][0] &&
m_matrix[1][1] == m2.m_matrix[1][1] &&
m_matrix[1][2] == m2.m_matrix[1][2] &&
m_matrix[1][3] == m2.m_matrix[1][3] &&
m_matrix[2][0] == m2.m_matrix[2][0] &&
m_matrix[2][1] == m2.m_matrix[2][1] &&
m_matrix[2][2] == m2.m_matrix[2][2] &&
m_matrix[2][3] == m2.m_matrix[2][3] &&
m_matrix[3][0] == m2.m_matrix[3][0] &&
m_matrix[3][1] == m2.m_matrix[3][1] &&
m_matrix[3][2] == m2.m_matrix[3][2] &&
m_matrix[3][3] == m2.m_matrix[3][3]);
}
bool operator!=(const TransformationMatrix& other) const { return !(*this == other); }
TransformationMatrix& operator*=(const TransformationMatrix& t)
{
return multiply(t);
}
TransformationMatrix operator*(const TransformationMatrix& t) const
{
TransformationMatrix result = *this;
result.multiply(t);
return result;
}
#if USE(CA)
TransformationMatrix(const CATransform3D&);
WEBCORE_EXPORT operator CATransform3D() const;
#endif
#if USE(CG)
TransformationMatrix(const CGAffineTransform&);
operator CGAffineTransform() const;
#elif USE(CAIRO)
operator cairo_matrix_t() const;
#endif
#if PLATFORM(WIN) || (PLATFORM(GTK) && OS(WINDOWS))
operator XFORM() const;
#endif
bool isIdentityOrTranslation() const
{
return m_matrix[0][0] == 1 && m_matrix[0][1] == 0 && m_matrix[0][2] == 0 && m_matrix[0][3] == 0
&& m_matrix[1][0] == 0 && m_matrix[1][1] == 1 && m_matrix[1][2] == 0 && m_matrix[1][3] == 0
&& m_matrix[2][0] == 0 && m_matrix[2][1] == 0 && m_matrix[2][2] == 1 && m_matrix[2][3] == 0
&& m_matrix[3][3] == 1;
}
bool isIntegerTranslation() const;
TransformationMatrix to2dTransform() const;
typedef float FloatMatrix4[16];
void toColumnMajorFloatArray(FloatMatrix4& result) const;
bool isBackFaceVisible() const;
private:
void multVecMatrix(double x, double y, double& dstX, double& dstY) const;
FloatPoint internalMapPoint(const FloatPoint& sourcePoint) const
{
double resultX;
double resultY;
multVecMatrix(sourcePoint.x(), sourcePoint.y(), resultX, resultY);
return FloatPoint(static_cast<float>(resultX), static_cast<float>(resultY));
}
void multVecMatrix(double x, double y, double z, double& dstX, double& dstY, double& dstZ) const;
FloatPoint3D internalMapPoint(const FloatPoint3D& sourcePoint) const
{
double resultX;
double resultY;
double resultZ;
multVecMatrix(sourcePoint.x(), sourcePoint.y(), sourcePoint.z(), resultX, resultY, resultZ);
return FloatPoint3D(static_cast<float>(resultX), static_cast<float>(resultY), static_cast<float>(resultZ));
}
void setMatrix(const Matrix4 m)
{
if (m && m != m_matrix)
memcpy(m_matrix, m, sizeof(Matrix4));
}
Matrix4 m_matrix;
};
}
#endif // TransformationMatrix_h