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zgematrix_small.hpp
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00001 //=============================================================================
00002 //! Samll Complex Double-precision General Dence Matrix Class
00003 template<long m, long n> class zgematrix_small
00004 {
00005 public:
00006   ///////////////////////////////////////////////
00007   /////////////////// objects ///////////////////
00008   ///////////////////////////////////////////////
00009   comple array[m*n];
00010   
00011   ///////////////////////////////////////////////
00012   ///////////////// constructors ////////////////
00013   ///////////////////////////////////////////////
00014   inline zgematrix_small();
00015   inline explicit zgematrix_small(const zgematrix&);
00016   inline zgematrix_small(const comple&);
00017   inline ~zgematrix_small();
00018   
00019   ///////////////////////////////////////////////
00020   ////////////////// functions //////////////////
00021   ///////////////////////////////////////////////
00022   //////// cast ////////
00023   inline _zgematrix to_zgematrix() const;
00024   
00025   //////// io ////////
00026   inline comple& operator()(const long& i, const long& j);
00027   inline comple  operator()(const long& i, const long& j) const;
00028   inline zgematrix_small<m,n>& set(const long& i, const long& j, const comple& v);
00029   template<long _m, long _n> inline friend std::ostream& operator<<(std::ostream&, const zgematrix_small<_m,_n>&);
00030   inline void read(const char* filename);
00031   inline void write(const char* filename) const;
00032   
00033   //////// calc ////////
00034   template<long _m, long _n> inline friend zgematrix_small<n,m> t(const zgematrix_small<m,n>&);
00035   
00036   //////// misc ////////
00037   inline zgematrix_small<m,n>& zero();
00038   inline zgematrix_small<m,n>& identity();
00039   inline zcovector_small<m> col(const long& j) const;
00040   inline zrovector_small<n> row(const long& i) const;
00041 
00042   ///////////////////////////////////////////////
00043   ///////////// numerical operators /////////////
00044   ///////////////////////////////////////////////
00045   //////// = ////////
00046   template<long M, long N> inline zgematrix_small<M,N>& operator= (const  zgematrix_small<M,N>&);
00047   //////// += ////////
00048   template<long M, long N> inline friend zgematrix_small<M,N>& operator+=(zgematrix_small<M,N>&, const zgematrix_small<M,N>&);
00049   //////// -= ////////
00050   template<long M, long N> inline friend zgematrix_small<M,N>& operator-=(zgematrix_small<M,N>&, const zgematrix_small<M,N>&);
00051   //////// *= ////////
00052   template<long M, long L, long N> inline friend zgematrix_small<M,N>& operator*=(zgematrix_small<M,L>&, const zgematrix_small<L,N>&);
00053   template<long M, long N> inline friend zgematrix_small<M,N>& operator*=(zgematrix_small<M,N>&, const               comple&);
00054   //////// /= ////////
00055   template<long M, long N> inline friend zgematrix_small<M,N>& operator/=(zgematrix_small<M,N>&, const               comple&);
00056   //////// unary ////////
00057   template<long M, long N> inline friend const zgematrix_small<M,N>& operator+(const zgematrix_small<M,N>&);
00058   template<long M, long N> inline friend zgematrix_small<M,N> operator-(const zgematrix_small<M,N>&);
00059   //////// + ////////
00060   template<long M, long N> inline friend zgematrix_small<M,N> operator+(const zgematrix_small<M,N>&, const zgematrix_small<M,N>&);
00061   template<long M, long N> inline friend zgematrix_small<M,N> operator+(const zgematrix_small<M,N>&, const zhematrix_small< N >&);
00062   //////// - ////////
00063   template<long M, long N> inline friend zgematrix_small<M,N> operator-(const zgematrix_small<M,N>&, const zgematrix_small<M,N>&);
00064   template<long M, long N> inline friend zgematrix_small<M,N> operator-(const zgematrix_small<M,N>&, const zhematrix_small< N >&);
00065   //////// * ////////
00066   template<long M, long N> inline friend zcovector_small< M > operator*(const zgematrix_small<M,N>&, const zcovector_small< N >&);
00067   template<long M, long L, long N> inline friend zgematrix_small<M,N> operator*(const zgematrix_small<M,L>&, const zgematrix_small<L,N>&);
00068   template<long M, long N> inline friend zgematrix_small<M,N> operator*(const zgematrix_small<M,N>&, const zhematrix_small< N >&);
00069   template<long M, long N> inline friend zgematrix_small<M,N> operator*(const zgematrix_small<M,N>&, const               comple&);
00070   //////// / ////////
00071   template<long M, long N> inline friend zgematrix_small<M,N> operator/(const zgematrix_small<M,N>&, const               comple&);
00072   //////// comple ////////
00073   template<long M, long N> inline friend zgematrix_small<M,N> operator*(const               comple&, const zgematrix_small<M,N>&);
00074 };
00075 
00076 ///////////////////////////////////////////////////////////////////////////////
00077 ///////////////////////////////////////////////////////////////////////////////
00078 ///////////////////////////////////////////////////////////////////////////////
00079 
00080 inline comple det(const zgemat2&);
00081 inline zgemat2 inv(const zgemat2&);
00082 inline comple det(const zgemat3&);
00083 inline zgemat3 inv(const zgemat3&);
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