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//=============================================================================
//! Complex Double-precision General Dence Matrix Class
class zgematrix
{
public:
///////////////////////////////////////////////
/////////////////// objects ///////////////////
///////////////////////////////////////////////
long m; //!< matrix row size
long n; //!< matrix column size
comple* array; //!< 1D array to store matrix data
comple** darray; //!< array of pointers of column head addresses
///////////////////////////////////////////////
///////////////// constructors ////////////////
///////////////////////////////////////////////
inline zgematrix();
inline zgematrix(const zgematrix&);
inline zgematrix(const _zgematrix&);
inline zgematrix(const long&, const long&);
inline zgematrix(const char*);
inline ~zgematrix(); //destructor
///////////////////////////////////////////////
////////////////// functions //////////////////
///////////////////////////////////////////////
//////// cast ////////
//////// io ////////
inline comple& operator()(const long&, const long&);
inline comple operator()(const long&, const long&) const;
inline zgematrix& set(const long&, const long&, const comple&);
inline friend std::ostream& operator<<(std::ostream&, const zgematrix&);
inline void write(const char*) const;
inline void read(const char*);
//////// misc ////////
inline void clear();
inline zgematrix& zero();
inline zgematrix& identity();
inline void chsign();
inline void copy(const zgematrix&);
inline void shallow_copy(const _zgematrix&);
inline void resize(const long&, const long&);
inline _zrovector row(const long&) const;
inline _zcovector col(const long&) const;
inline friend void swap(zgematrix&, zgematrix&);
inline friend _zgematrix _(zgematrix&);
//////// calc ////////
inline friend _zgematrix t(const zgematrix&);
inline friend _zgematrix i(const zgematrix&);
inline friend _zgematrix conj(const zgematrix&);
inline friend _zgematrix conjt(const zgematrix&);
inline friend void idamax(long&, long&, const zgematrix&);
inline friend comple damax(const zgematrix&);
//////// lapack ////////
inline long zgesv(zgematrix&);
inline long zgesv(zcovector&);
inline long zgels(zgematrix&);
inline long zgels(zcovector&);
inline long zgels(zgematrix&, drovector&);
inline long zgels(zcovector&, double&);
inline long zgelss(zcovector&, dcovector&, long&, const double);
inline long zgelss(zgematrix&, dcovector&, long&, const double);
inline long zgeev(std::vector< comple >&);
inline long zgeev(std::vector< comple >&, std::vector<zcovector>&);
inline long zgeev(std::vector< comple >&, std::vector<zrovector>&);
//inline long zgegv()
inline long zgesvd(dcovector&, zgematrix&, zgematrix&);
///////////////////////////////////////////////
///////////// numerical operators /////////////
///////////////////////////////////////////////
//////// = ////////
inline zgematrix& operator=(const zgematrix&);
inline zgematrix& operator=(const _zgematrix&);
//////// += ////////
inline zgematrix& operator+=(const zgematrix&);
inline zgematrix& operator+=(const _zgematrix&);
inline zgematrix& operator+=(const zhematrix&);
inline zgematrix& operator+=(const _zhematrix&);
inline zgematrix& operator+=(const zgbmatrix&);
inline zgematrix& operator+=(const _zgbmatrix&);
inline zgematrix& operator+=(const zgsmatrix&);
inline zgematrix& operator+=(const _zgsmatrix&);
inline zgematrix& operator+=(const zhsmatrix&);
inline zgematrix& operator+=(const _zhsmatrix&);
//////// -= ////////
inline zgematrix& operator-=(const zgematrix&);
inline zgematrix& operator-=(const _zgematrix&);
inline zgematrix& operator-=(const zhematrix&);
inline zgematrix& operator-=(const _zhematrix&);
inline zgematrix& operator-=(const zgbmatrix&);
inline zgematrix& operator-=(const _zgbmatrix&);
inline zgematrix& operator-=(const zgsmatrix&);
inline zgematrix& operator-=(const _zgsmatrix&);
inline zgematrix& operator-=(const zhsmatrix&);
inline zgematrix& operator-=(const _zhsmatrix&);
//////// *= ////////
inline zgematrix& operator*=(const zgematrix&);
inline zgematrix& operator*=(const _zgematrix&);
inline zgematrix& operator*=(const zhematrix&);
inline zgematrix& operator*=(const _zhematrix&);
inline zgematrix& operator*=(const zgbmatrix&);
inline zgematrix& operator*=(const _zgbmatrix&);
inline zgematrix& operator*=(const zgsmatrix&);
inline zgematrix& operator*=(const _zgsmatrix&);
inline zgematrix& operator*=(const zhsmatrix&);
inline zgematrix& operator*=(const _zhsmatrix&);
inline zgematrix& operator*=(const double&);
inline zgematrix& operator*=(const comple&);
//////// /= ////////
inline zgematrix& operator/=(const double&);
inline zgematrix& operator/=(const comple&);
//////// unary ////////
inline friend const zgematrix& operator+(const zgematrix&);
inline friend _zgematrix operator-(const zgematrix&);
//////// + ////////
inline friend _zgematrix operator+(const zgematrix&, const zgematrix&);
inline friend _zgematrix operator+(const zgematrix&, const _zgematrix&);
inline friend _zgematrix operator+(const zgematrix&, const zhematrix&);
inline friend _zgematrix operator+(const zgematrix&, const _zhematrix&);
inline friend _zgematrix operator+(const zgematrix&, const zgbmatrix&);
inline friend _zgematrix operator+(const zgematrix&, const _zgbmatrix&);
inline friend _zgematrix operator+(const zgematrix&, const zgsmatrix&);
inline friend _zgematrix operator+(const zgematrix&, const _zgsmatrix&);
inline friend _zgematrix operator+(const zgematrix&, const zhsmatrix&);
inline friend _zgematrix operator+(const zgematrix&, const _zhsmatrix&);
//////// - ////////
inline friend _zgematrix operator-(const zgematrix&, const zgematrix&);
inline friend _zgematrix operator-(const zgematrix&, const _zgematrix&);
inline friend _zgematrix operator-(const zgematrix&, const zhematrix&);
inline friend _zgematrix operator-(const zgematrix&, const _zhematrix&);
inline friend _zgematrix operator-(const zgematrix&, const zgbmatrix&);
inline friend _zgematrix operator-(const zgematrix&, const _zgbmatrix&);
inline friend _zgematrix operator-(const zgematrix&, const zgsmatrix&);
inline friend _zgematrix operator-(const zgematrix&, const _zgsmatrix&);
inline friend _zgematrix operator-(const zgematrix&, const zhsmatrix&);
inline friend _zgematrix operator-(const zgematrix&, const _zhsmatrix&);
//////// * ////////
inline friend _zcovector operator*(const zgematrix&, const zcovector&);
inline friend _zcovector operator*(const zgematrix&, const _zcovector&);
inline friend _zgematrix operator*(const zgematrix&, const zgematrix&);
inline friend _zgematrix operator*(const zgematrix&, const _zgematrix&);
inline friend _zgematrix operator*(const zgematrix&, const zhematrix&);
inline friend _zgematrix operator*(const zgematrix&, const _zhematrix&);
inline friend _zgematrix operator*(const zgematrix&, const zgbmatrix&);
inline friend _zgematrix operator*(const zgematrix&, const _zgbmatrix&);
inline friend _zgematrix operator*(const zgematrix&, const zgsmatrix&);
inline friend _zgematrix operator*(const zgematrix&, const _zgsmatrix&);
inline friend _zgematrix operator*(const zgematrix&, const zhsmatrix&);
inline friend _zgematrix operator*(const zgematrix&, const _zhsmatrix&);
inline friend _zgematrix operator*(const zgematrix&, const double&);
inline friend _zgematrix operator*(const zgematrix&, const comple&);
//////// / ////////
inline friend _zgematrix operator/(const zgematrix&, const double&);
inline friend _zgematrix operator/(const zgematrix&, const comple&);
//////// double, comple ////////
inline friend _zgematrix operator*(const double&, const zgematrix&);
inline friend _zgematrix operator*(const comple&, const zgematrix&);
//////// hadamard ////////
inline friend _zgematrix hadamard(const zgematrix&, const zgematrix&);
};
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