//////////////////////////////////////////////////////////////////////////////
//文件 Matrix2D.h
//主要功能: 
//
//程序编写:		2005-12-07
/////////////////////////////////////////////////////////////////////////////

#pragma once

//For any coordinates (x, y) in world space, the transformed coordinates in page
//space (x', y') can be determined by the following algorithm: 
//x' = x * eM11 + y * eM21 + eDx, 
//y' = x * eM12 + y * eM22 + eDy, 
//where the transformation matrix is represented by the following: 
//			 | eM11 eM12 |     | 1  0 |    | m[0]  m[1] |
//Matrix  =  | eM21 eM22 |  =  | 0  1 | =  | m[2]  m[3] |
//			 | eDx  eDy  |     | 0  0 |	   | m[4]  m[5] |

class CMatrix2D
{
public:
	CMatrix2D(void);
	virtual ~CMatrix2D(void);

	bool IsIdentity(void);
	void Reset(void);							// set identity matrix elements 
	void SetMatrix(double m11, double m12, double m21, double m22, double dx, double dy);
	void SetMatrix(double *pm);					//6个

	void RotateAt(double centerX, double centerY, double angle);
	void Rotate(double angle);
	void Translate(double dx, double dy);		//平移变换
	void Shear(double shearX, double shearY);	//错切变换
	void Scale(double scaleX, double scaleY);	//比例缩放

	double Determinant();
	CMatrix2D Invert(bool *invertible);

	void operator=(const CMatrix2D& md);
	void operator*=(const CMatrix2D& md);
	void Exchange(double& x, double& y, BOOL bUndo=FALSE);	//当bUndo=TRUE时进行反变换
	void Exchange(long& x, long& y, BOOL bUndo=FALSE);		//当bUndo=TRUE时进行反变换

	BOOL GetElements(double* pele);
	BOOL GetElements(float* pele);

protected:
	double mt[6];
};