//=============================================================================
//! Real Double-precision General Dence Matrix Class
class dgematrix
{
public:
///////////////////////////////////////////////
/////////////////// objects ///////////////////
///////////////////////////////////////////////
long m; //!< matrix row size
long n; //!< matrix column size
double* array; //!< 1D array to store matrix data
double** darray; //!< array of pointers of column head addresses
///////////////////////////////////////////////
///////////////// constructors ////////////////
///////////////////////////////////////////////
inline dgematrix();
inline dgematrix(const dgematrix&);
inline dgematrix(const _dgematrix&);
inline dgematrix(const long&, const long&);
inline dgematrix(const char*);
inline ~dgematrix(); //destructor
///////////////////////////////////////////////
////////////////// functions //////////////////
///////////////////////////////////////////////
//////// cast ////////
inline _zgematrix to_zgematrix() const;
//////// io ////////
inline double& operator()(const long&, const long&);
inline double operator()(const long&, const long&) const;
inline dgematrix& set(const long&, const long&, const double&); //const;
inline friend std::ostream& operator<<(std::ostream&, const dgematrix&);
inline void write(const char*) const;
inline void read(const char*);
//////// misc ////////
inline void clear();
inline dgematrix& zero();
inline dgematrix& identity();
inline void chsign();
inline void copy(const dgematrix&);
inline void shallow_copy(const _dgematrix&);
inline dgematrix& resize(const long&, const long&);
inline _drovector row(const long&) const;
inline _dcovector col(const long&) const;
inline friend void swap(dgematrix&, dgematrix&);
inline friend _dgematrix _(dgematrix&);
//////// calc ////////
inline friend _dgematrix t(const dgematrix&);
inline friend _dgematrix i(const dgematrix&);
inline friend void idamax(long&, long&, const dgematrix&);
inline friend double damax(const dgematrix&);
//////// lapack ////////
inline long dgesv(dgematrix&);
inline long dgesv(dcovector&);
inline long dgels(dgematrix&);
inline long dgels(dcovector&);
inline long dgels(dgematrix&, drovector&);
inline long dgels(dcovector&, double&);
//inline long dgelss(dcovector&);
inline long dgelss(dcovector&, dcovector&, long&, const double);
inline long dgelss(dgematrix&, dcovector&, long&, const double);
inline long dgelsd(dcovector&, dcovector&, long&, const double);
//inline long dgelsd(dgematrix&, dcovector&, long&, const double);
inline long dgeev(std::vector<double>&, std::vector<double>&);
inline long dgeev(zcovector&);
inline long dgeev(std::vector<double>&, std::vector<double>&, std::vector<dcovector>&, std::vector<dcovector>&);
inline long dgeev(std::vector<double>&, std::vector<double>&, std::vector<drovector>&, std::vector<drovector>&);
inline long dggev(dgematrix&, std::vector<double>&, std::vector<double>&);
inline long dggev(dgematrix&, std::vector<double>&, std::vector<double>&, std::vector<dcovector>&, std::vector<dcovector>&);
inline long dggev(dgematrix&, std::vector<double>&, std::vector<double>&, std::vector<drovector>&, std::vector<drovector>&);
inline long dgesvd(dgbmatrix&);
inline long dgesvd(dcovector&, dgematrix&, dgematrix&);
inline long dgglse(dgematrix&, dcovector&, dcovector&, dcovector&);
///////////////////////////////////////////////
///////////// numerical operators /////////////
///////////////////////////////////////////////
//////// = ////////
inline dgematrix& operator=(const dgematrix&);
inline dgematrix& operator=(const _dgematrix&);
//////// += ////////
inline dgematrix& operator+=(const dgematrix&);
inline dgematrix& operator+=(const _dgematrix&);
inline dgematrix& operator+=(const dsymatrix&);
inline dgematrix& operator+=(const _dsymatrix&);
inline dgematrix& operator+=(const dgbmatrix&);
inline dgematrix& operator+=(const _dgbmatrix&);
inline dgematrix& operator+=(const dgsmatrix&);
inline dgematrix& operator+=(const _dgsmatrix&);
inline dgematrix& operator+=(const dssmatrix&);
inline dgematrix& operator+=(const _dssmatrix&);
//////// -= ////////
inline dgematrix& operator-=(const dgematrix&);
inline dgematrix& operator-=(const _dgematrix&);
inline dgematrix& operator-=(const dsymatrix&);
inline dgematrix& operator-=(const _dsymatrix&);
inline dgematrix& operator-=(const dgbmatrix&);
inline dgematrix& operator-=(const _dgbmatrix&);
inline dgematrix& operator-=(const dgsmatrix&);
inline dgematrix& operator-=(const _dgsmatrix&);
inline dgematrix& operator-=(const dssmatrix&);
inline dgematrix& operator-=(const _dssmatrix&);
//////// *= ////////
inline dgematrix& operator*=(const dgematrix&);
inline dgematrix& operator*=(const _dgematrix&);
inline dgematrix& operator*=(const dsymatrix&);
inline dgematrix& operator*=(const _dsymatrix&);
inline dgematrix& operator*=(const dgbmatrix&);
inline dgematrix& operator*=(const _dgbmatrix&);
inline dgematrix& operator*=(const dgsmatrix&);
inline dgematrix& operator*=(const _dgsmatrix&);
inline dgematrix& operator*=(const dssmatrix&);
inline dgematrix& operator*=(const _dssmatrix&);
inline dgematrix& operator*=(const double&);
//////// /= ////////
inline dgematrix& operator/=(const double&);
//////// unary ////////
inline friend const dgematrix& operator+(const dgematrix&);
inline friend _dgematrix operator-(const dgematrix&);
//////// + ////////
inline friend _dgematrix operator+(const dgematrix&, const dgematrix&);
inline friend _dgematrix operator+(const dgematrix&, const _dgematrix&);
inline friend _dgematrix operator+(const dgematrix&, const dsymatrix&);
inline friend _dgematrix operator+(const dgematrix&, const _dsymatrix&);
inline friend _dgematrix operator+(const dgematrix&, const dgbmatrix&);
inline friend _dgematrix operator+(const dgematrix&, const _dgbmatrix&);
inline friend _dgematrix operator+(const dgematrix&, const dgsmatrix&);
inline friend _dgematrix operator+(const dgematrix&, const _dgsmatrix&);
inline friend _dgematrix operator+(const dgematrix&, const dssmatrix&);
inline friend _dgematrix operator+(const dgematrix&, const _dssmatrix&);
//////// - ////////
inline friend _dgematrix operator-(const dgematrix&, const dgematrix&);
inline friend _dgematrix operator-(const dgematrix&, const _dgematrix&);
inline friend _dgematrix operator-(const dgematrix&, const dsymatrix&);
inline friend _dgematrix operator-(const dgematrix&, const _dsymatrix&);
inline friend _dgematrix operator-(const dgematrix&, const dgbmatrix&);
inline friend _dgematrix operator-(const dgematrix&, const _dgbmatrix&);
inline friend _dgematrix operator-(const dgematrix&, const dgsmatrix&);
inline friend _dgematrix operator-(const dgematrix&, const _dgsmatrix&);
inline friend _dgematrix operator-(const dgematrix&, const dssmatrix&);
inline friend _dgematrix operator-(const dgematrix&, const _dssmatrix&);
//////// * ////////
inline friend _dcovector operator*(const dgematrix&, const dcovector&);
inline friend _dcovector operator*(const dgematrix&, const _dcovector&);
inline friend _dgematrix operator*(const dgematrix&, const dgematrix&);
inline friend _dgematrix operator*(const dgematrix&, const _dgematrix&);
inline friend _dgematrix operator*(const dgematrix&, const dsymatrix&);
inline friend _dgematrix operator*(const dgematrix&, const _dsymatrix&);
inline friend _dgematrix operator*(const dgematrix&, const dgbmatrix&);
inline friend _dgematrix operator*(const dgematrix&, const _dgbmatrix&);
inline friend _dgematrix operator*(const dgematrix&, const dgsmatrix&);
inline friend _dgematrix operator*(const dgematrix&, const _dgsmatrix&);
inline friend _dgematrix operator*(const dgematrix&, const dssmatrix&);
inline friend _dgematrix operator*(const dgematrix&, const _dssmatrix&);
inline friend _dgematrix operator*(const dgematrix&, const double&);
//////// / ////////
inline friend _dgematrix operator/(const dgematrix&, const double&);
//////// % ////////
inline friend _drovector operator%(const dgematrix&, const dgematrix&);
//////// double ////////
inline friend _dgematrix operator*(const double&, const dgematrix&);
//////// hadamard ////////
inline friend _dgematrix hadamard(const dgematrix&, const dgematrix&);
};