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TAPs 0.7.7.3
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TAPs 0.7.7.3
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00001 /****************************************************************************** 00002 TAPsMatrix2x2.hpp 00003 00004 Matrix2x2 class is a class for 2-by-2 matrices. 00005 00006 SUKITTI PUNAK (09/12/2004) 00007 UPDATE (07/30/2005) 00008 ******************************************************************************/ 00009 #ifndef TAPs_MATRIX2X2_H 00010 #define TAPs_MATRIX2X2_H 00011 00012 #include "TAPsMath.hpp" 00013 00014 template <typename T> class Vector2; 00015 00016 BEGIN_NAMESPACE_TAPs 00017 //============================================================================= 00018 template <typename T> 00019 class Matrix2x2 { 00020 //============================================================================= 00021 private: 00022 // Matrix Elements 00023 T e[4]; 00024 00025 public: 00026 //------------------------------------------------------------------------- 00027 // Output Operator << 00028 friend std::ostream & operator<< ( std::ostream &output, Matrix2x2<T> const &M ) 00029 { 00030 int width = 14; 00031 //output << typeid(*this).name() << "( "; 00032 output << "Matrix2x2<" << typeid(T).name() << "> =\n" 00033 << "| " << std::setw(width) << M.e[0] 00034 << std::setw(width) << M.e[1] << " |\n" 00035 << "| " << std::setw(width) << M.e[2] 00036 << std::setw(width) << M.e[3] << " |\n"; 00037 //output << std::endl; 00038 return output; 00039 } 00040 //------------------------------------------------------------------------- 00041 // Constructors and Destructor 00042 Matrix2x2 (); // default constructor (Identity Matrix) 00043 Matrix2x2 ( Matrix2x2<T> const &M ); // copy constructor 00044 Matrix2x2 ( T ); // constructor 00045 Matrix2x2 ( T, T, T, T ); // constructor 00046 Matrix2x2 ( T const af[4] ); // constructor from array 00047 ~Matrix2x2 (); // destructor 00048 //------------------------------------------------------------------------- 00049 // Member Access 00050 inline T & operator[] ( int i ); 00051 inline T const & operator[] ( int i ) const; 00052 inline T & operator() ( int r, int c ); 00053 inline T const & operator() ( int r, int c ) const; 00054 //------------------------------------------------------------------------- 00055 // Convert to one dimension array 00056 operator const T *() const; 00057 operator T *(); 00058 //------------------------------------------------------------------------- 00059 // Useful Functions 00060 inline void SetAllElements ( T ); // set all elements 00061 inline void SetAllElements ( T, T, T, T ); // set all elements 00062 inline void SetAllElements ( T const af[4] ); // set all elements 00063 inline void MakeIdentity (); // set to identity matrix 00064 inline void MakeDiagonal ( T d ); // set to diagonal matrix 00065 inline void MakeDiagonal ( T const af[4] ); // set to diagonal matrix 00066 inline void MakeZero (); // set all elements to zero 00067 inline bool IsIdentity () const; // Is it an identity matrix? 00068 inline bool IsSymmetric () const // Is it a symmetric matrix? 00069 { return e[1] == e[2]; } 00070 inline bool IsSquare () const // Is it a square matrix? 00071 { return true;} 00072 //------------------------------------------------------------------------- 00073 // Matrix Operations 00074 inline Matrix2x2<T> & Transposed (); 00075 inline Matrix2x2<T> GetTranspose () const; 00076 inline Matrix2x2<T> & Inversed (); 00077 Matrix2x2<T> GetInverse () const; 00078 inline T GetDeterminant () const; 00079 //------------------------------------------------------------------------- 00080 // Assignment Overloaded Operator 00081 Matrix2x2<T> & operator= ( Matrix2x2<T> const &M ); 00082 //------------------------------------------------------------------------- 00083 // Unary Overloaded Operators 00084 Matrix2x2<T> operator- (); // negation 00085 //------------------------------------------------------------------------- 00086 // Assign Overloaded Operators 00087 Matrix2x2<T> &operator+= ( Matrix2x2<T> const &M ); // += with matrix 00088 Matrix2x2<T> &operator-= ( Matrix2x2<T> const &M ); // -= with matrix 00089 Matrix2x2<T> &operator*= ( Matrix2x2<T> const &M ); // *= with matrix 00090 Matrix2x2<T> &operator*= ( T s ); // *= with scalar 00091 Matrix2x2<T> &operator/= ( T s ); // /= with scalar 00092 //------------------------------------------------------------------------- 00093 // Binary Overloaded Operators 00094 Matrix2x2<T> operator+ ( Matrix2x2<T> const &M ) const; // matrix + matrix 00095 Matrix2x2<T> operator- ( Matrix2x2<T> const &M ) const; // matrix - matrix 00096 Matrix2x2<T> operator* ( Matrix2x2<T> const &M ) const; // matrix * matrix 00097 Matrix2x2<T> operator* ( T s ) const; // matrix * scalar 00098 friend inline Matrix2x2<T> operator* ( T s, Matrix2x2<T> const &M ) // scalar * matrix 00099 { return M * s; } 00100 Matrix2x2<T> operator/ ( T s ) const; // matrix / scalar 00101 inline void MultLeft ( Matrix2x2<T> const &M ); // this matrix = matrix M * this matrix 00102 inline void MultRight ( Matrix2x2<T> const &M ); // this matrix = this matrix * matrix M 00103 //------------------------------------------------------------------------- 00104 // Matrix * Vector 00105 Vector2<T> operator* ( Vector2<T> const &V ) const; 00106 //------------------------------------------------------------------------- 00107 }; // END CLASS Matrix2x2 00108 //============================================================================= 00109 //----------------------------------------------------------------------------- 00110 // Define Matrix2x2s 00111 typedef Matrix2x2<int> Matrix2x2i; 00112 typedef Matrix2x2<float> Matrix2x2f; 00113 typedef Matrix2x2<double> Matrix2x2d; 00114 typedef Matrix2x2<long double> Matrix2x2ld; 00115 //============================================================================= 00116 END_NAMESPACE_TAPs 00117 //----------------------------------------------------------------------------- 00118 // Include definition if TAPs_USE_EXPORT is not defined 00119 //#if !defined( TAPs_USE_EXPORT ) 00120 #include "TAPsMatrix2x2.cpp" 00121 //#endif 00122 //----------------------------------------------------------------------------- 00123 #endif 00124 //345678901234567890123456789012345678901234567890123456789012345678901234567890 00125 //--+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
1.7.4 
