//=============================================================================
//! Real Double-precision Symmetric Matrix Class [l-type (UPLO=l) Strage]
class dsymatrix
{
public:
///////////////////////////////////////////////
/////////////////// objects ///////////////////
///////////////////////////////////////////////
long const& 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 dsymatrix();
inline dsymatrix(const dsymatrix&);
inline dsymatrix(const _dsymatrix&);
inline dsymatrix(const long&);
inline dsymatrix(const char*);
inline ~dsymatrix(); //destructor
///////////////////////////////////////////////
////////////////// functions //////////////////
///////////////////////////////////////////////
//////// cast ////////
inline _zhematrix to_zhematrix() const;
inline _dgematrix to_dgematrix() const;
inline _dssmatrix to_dssmatrix(const double eps=-1) const;
//////// io ////////
inline double& operator()(const long&, const long&);
inline double operator()(const long&, const long&) const;
inline dsymatrix& set(const long&, const long&, const double&);
inline friend std::ostream& operator<<(std::ostream&, const dsymatrix&);
inline void write(const char*) const;
inline void read(const char*);
//////// misc ////////
inline void complete() const;
inline void clear();
inline dsymatrix& zero();
inline dsymatrix& identity();
inline void chsign();
inline void copy(const dsymatrix&);
inline void shallow_copy(const _dsymatrix&);
inline dsymatrix& resize(const long&);
inline _drovector row(const long&) const;
inline _dcovector col(const long&) const;
inline friend void swap(dsymatrix&, dsymatrix&);
inline friend _dsymatrix _(dsymatrix&);
//////// calc ////////
inline friend _dsymatrix t(const dsymatrix&);
inline friend _dsymatrix i(const dsymatrix&);
inline friend void idamax(long&, long&, const dsymatrix&);
inline friend double damax(const dsymatrix&);
//////// lapack ////////
inline long dsysv(dgematrix&);
inline long dsysv(dcovector&);
inline long dsyev(std::vector<double>&, const bool&);
inline long dsyev(std::vector<double>&, std::vector<dcovector>&);
inline long dsyev(std::vector<double>&, std::vector<drovector>&);
inline long dsygv(dsymatrix&, std::vector<double>&);
inline long dsygv(dsymatrix&, std::vector<double>&, std::vector<dcovector>&);
///////////////////////////////////////////////
///////////// numerical operators /////////////
///////////////////////////////////////////////
//////// = ////////
inline dsymatrix& operator=(const dsymatrix&);
inline dsymatrix& operator=(const _dsymatrix&);
//////// += ////////
inline dsymatrix& operator+=(const dsymatrix&);
inline dsymatrix& operator+=(const _dsymatrix&);
//////// -= ////////
inline dsymatrix& operator-=(const dsymatrix&);
inline dsymatrix& operator-=(const _dsymatrix&);
//////// *= ////////
inline dsymatrix& operator*=(const dsymatrix&);
inline dsymatrix& operator*=(const _dsymatrix&);
inline dsymatrix& operator*=(const double&);
//////// /= ////////
inline dsymatrix& operator/=(const double&);
//////// unary ////////
inline friend const dsymatrix& operator+(const dsymatrix&);
inline friend _dsymatrix operator-(const dsymatrix&);
//////// + ////////
inline friend _dgematrix operator+(const dsymatrix&, const dgematrix&);
inline friend _dgematrix operator+(const dsymatrix&, const _dgematrix&);
inline friend _dsymatrix operator+(const dsymatrix&, const dsymatrix&);
inline friend _dsymatrix operator+(const dsymatrix&, const _dsymatrix&);
inline friend _dgematrix operator+(const dsymatrix&, const dgbmatrix&);
inline friend _dgematrix operator+(const dsymatrix&, const _dgbmatrix&);
inline friend _dgematrix operator+(const dsymatrix&, const dgsmatrix&);
inline friend _dgematrix operator+(const dsymatrix&, const _dgsmatrix&);
inline friend _dsymatrix operator+(const dsymatrix&, const dssmatrix&);
inline friend _dsymatrix operator+(const dsymatrix&, const _dssmatrix&);
//////// - ////////
inline friend _dgematrix operator-(const dsymatrix&, const dgematrix&);
inline friend _dgematrix operator-(const dsymatrix&, const _dgematrix&);
inline friend _dsymatrix operator-(const dsymatrix&, const dsymatrix&);
inline friend _dsymatrix operator-(const dsymatrix&, const _dsymatrix&);
inline friend _dgematrix operator-(const dsymatrix&, const dgbmatrix&);
inline friend _dgematrix operator-(const dsymatrix&, const _dgbmatrix&);
inline friend _dgematrix operator-(const dsymatrix&, const dgsmatrix&);
inline friend _dgematrix operator-(const dsymatrix&, const _dgsmatrix&);
inline friend _dsymatrix operator-(const dsymatrix&, const dssmatrix&);
inline friend _dsymatrix operator-(const dsymatrix&, const _dssmatrix&);
//////// * ////////
inline friend _dcovector operator*(const dsymatrix&, const dcovector&);
inline friend _dcovector operator*(const dsymatrix&, const _dcovector&);
inline friend _dgematrix operator*(const dsymatrix&, const dgematrix&);
inline friend _dgematrix operator*(const dsymatrix&, const _dgematrix&);
inline friend _dgematrix operator*(const dsymatrix&, const dsymatrix&);
inline friend _dgematrix operator*(const dsymatrix&, const _dsymatrix&);
inline friend _dgematrix operator*(const dsymatrix&, const dgbmatrix&);
inline friend _dgematrix operator*(const dsymatrix&, const _dgbmatrix&);
inline friend _dgematrix operator*(const dsymatrix&, const dgsmatrix&);
inline friend _dgematrix operator*(const dsymatrix&, const _dgsmatrix&);
inline friend _dsymatrix operator*(const dsymatrix&, const dssmatrix&);
inline friend _dsymatrix operator*(const dsymatrix&, const _dssmatrix&);
inline friend _dsymatrix operator*(const dsymatrix&, const double&);
//////// / ////////
inline friend _dsymatrix operator/(const dsymatrix&, const double&);
//////// double ////////
inline friend _dsymatrix operator*(const double&, const dsymatrix&);
};