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/********************************************************************************
* *
* D o u b l e - P r e c i s i o n 2 x 2 M a t r i x *
* *
*********************************************************************************
* Copyright (C) 2003,2022 by Jeroen van der Zijp. All Rights Reserved. *
*********************************************************************************
* This library is free software; you can redistribute it and/or modify *
* it under the terms of the GNU Lesser General Public License as published by *
* the Free Software Foundation; either version 3 of the License, or *
* (at your option) any later version. *
* *
* This library is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
* GNU Lesser General Public License for more details. *
* *
* You should have received a copy of the GNU Lesser General Public License *
* along with this program. If not, see <http://www.gnu.org/licenses/> *
********************************************************************************/
#ifndef FXMAT2D_H
#define FXMAT2D_H
namespace FX {
class FXMat3d;
/// Double-precision 2x2 matrix
class FXAPI FXMat2d {
protected:
FXVec2d m[2];
public:
/// Default constructor; value is not initialized
FXMat2d(){}
/// Initialize matrix from scalar
FXMat2d(FXdouble s);
/// Initialize matrix from another matrix
FXMat2d(const FXMat2d& s);
/// Initialize from rotation and scaling part of 3x3 matrix
FXMat2d(const FXMat3d& s);
/// Initialize matrix from array
FXMat2d(const FXdouble s[]);
/// Initialize diagonal matrix
FXMat2d(FXdouble a,FXdouble b);
/// Initialize matrix from components
FXMat2d(FXdouble a00,FXdouble a01,FXdouble a10,FXdouble a11);
/// Initialize matrix from two vectors
FXMat2d(const FXVec2d& a,const FXVec2d& b);
/// Assignment from scalar
FXMat2d& operator=(FXdouble s);
/// Assignment
FXMat2d& operator=(const FXMat2d& s);
FXMat2d& operator=(const FXMat3d& s);
/// Assignment from array
FXMat2d& operator=(const FXdouble s[]);
/// Set value from scalar
FXMat2d& set(FXdouble s);
/// Set value from another matrix
FXMat2d& set(const FXMat2d& s);
/// Set from rotation and scaling part of 3x3 matrix
FXMat2d& set(const FXMat3d& s);
/// Set value from array
FXMat2d& set(const FXdouble s[]);
/// Set diagonal matrix
FXMat2d& set(FXdouble a,FXdouble b);
/// Set value from components
FXMat2d& set(FXdouble a00,FXdouble a01,FXdouble a10,FXdouble a11);
/// Set value from two vectors
FXMat2d& set(const FXVec2d& a,const FXVec2d& b);
/// Assignment operators
FXMat2d& operator+=(const FXMat2d& s);
FXMat2d& operator-=(const FXMat2d& s);
FXMat2d& operator*=(const FXMat2d& s);
FXMat2d& operator*=(FXdouble s);
FXMat2d& operator/=(FXdouble s);
/// Indexing
FXVec2d& operator[](FXint i){return m[i];}
const FXVec2d& operator[](FXint i) const {return m[i];}
/// Conversion
operator FXdouble*(){return m[0];}
operator const FXdouble*() const {return m[0];}
/// Unary minus
FXMat2d operator-() const;
/// Set to identity matrix
FXMat2d& identity();
/// Return true if identity matrix
FXbool isIdentity() const;
/// Multiply by rotation of phi
FXMat2d& rot(FXdouble c,FXdouble s);
FXMat2d& rot(FXdouble phi);
/// Multiply by scaling
FXMat2d& scale(FXdouble sx,FXdouble sy);
FXMat2d& scale(FXdouble s);
/// Determinant
FXdouble det() const;
/// Transpose
FXMat2d transpose() const;
/// Invert
FXMat2d invert() const;
/// Destructor
~FXMat2d(){}
};
/// Matrix times vector
extern FXAPI FXVec2d operator*(const FXMat2d& m,const FXVec2d& v);
/// Vector times matrix
extern FXAPI FXVec2d operator*(const FXVec2d& v,const FXMat2d& m);
/// Matrix and matrix addition
extern FXAPI FXMat2d operator+(const FXMat2d& a,const FXMat2d& b);
extern FXAPI FXMat2d operator-(const FXMat2d& a,const FXMat2d& b);
/// Matrix and matrix multiply
extern FXAPI FXMat2d operator*(const FXMat2d& a,const FXMat2d& b);
/// Scaling
extern FXAPI FXMat2d operator*(FXdouble x,const FXMat2d& a);
extern FXAPI FXMat2d operator*(const FXMat2d& a,FXdouble x);
extern FXAPI FXMat2d operator/(const FXMat2d& a,FXdouble x);
extern FXAPI FXMat2d operator/(FXdouble x,const FXMat2d& a);
/// Equality tests
extern FXAPI FXbool operator==(const FXMat2d& a,const FXMat2d& b);
extern FXAPI FXbool operator!=(const FXMat2d& a,const FXMat2d& b);
extern FXAPI FXbool operator==(const FXMat2d& a,FXdouble n);
extern FXAPI FXbool operator!=(const FXMat2d& a,FXdouble n);
extern FXAPI FXbool operator==(FXdouble n,const FXMat2d& a);
extern FXAPI FXbool operator!=(FXdouble n,const FXMat2d& a);
/// Orthogonalize matrix
extern FXAPI FXMat2d orthogonalize(const FXMat2d& m);
/// Save matrix to a stream
extern FXAPI FXStream& operator<<(FXStream& store,const FXMat2d& m);
/// Load matrix from a stream
extern FXAPI FXStream& operator>>(FXStream& store,FXMat2d& m);
}
#endif
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