//=============================================================================
//! Real Double-precision Symmetric Matrix Class [L-type (UPLO=L) Strage]
class dsymatrix
{
private:
//// objects ////
long N; //!< matrix column size or row size (NOT accessible)
double* Array; //!< 1D array to store matrix data (NOT accessible)
double** Darray; //!< array of pointers of column head addresses(NOT accessible)
public:
//// const references ////
long const& n; //!< matrix column size or row size (readable)
double* const& array; //!< 1D array to store matrix data (readable)
double** const& darray; //!< array of pointers of column head addresses (readable)
long const& m; //!< matrix column size or row size (readable)
long const& M; //!< matrix column size or row size (readable)
//// constructor ////
inline dsymatrix();
inline dsymatrix(const dsymatrix&);
inline dsymatrix(const _dsymatrix&);
inline dsymatrix(const long&);
inline dsymatrix(const char*);
inline ~dsymatrix(); //destructor
//// 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>&);
//// unary ////
inline friend const dsymatrix& operator+(const dsymatrix&);
inline friend _dsymatrix operator-(const dsymatrix&);
//// operators with dsymatrix ////
inline dsymatrix& operator=(const dsymatrix&);
inline dsymatrix& operator+=(const dsymatrix&);
inline dsymatrix& operator-=(const dsymatrix&);
inline dsymatrix& operator*=(const dsymatrix&);
//// operators with _dsymatrix ////
inline dsymatrix& operator=(const _dsymatrix&);
inline dsymatrix& operator+=(const _dsymatrix&);
inline dsymatrix& operator-=(const _dsymatrix&);
inline dsymatrix& operator*=(const _dsymatrix&);
//// operators with double ////
inline dsymatrix& operator*=(const double&);
inline dsymatrix& operator/=(const double&);
//// + ////
inline friend _dsymatrix operator+(const dsymatrix&, const dsymatrix&);
inline friend _dsymatrix operator+(const dsymatrix&, const _dsymatrix&);
inline friend _dsymatrix operator+(const _dsymatrix&, const dsymatrix&);
inline friend _dgematrix operator+(const dsymatrix&, const dgematrix&);
inline friend _dgematrix operator+(const dsymatrix&, const _dgematrix&);
inline friend _dgematrix operator+(const dgematrix&, const dsymatrix&);
inline friend _dgematrix operator+(const _dgematrix&, const dsymatrix&);
inline friend _dgematrix operator+(const dsymatrix&, const dgbmatrix&);
inline friend _dgematrix operator+(const dsymatrix&, const _dgbmatrix&);
inline friend _dgematrix operator+(const dgbmatrix&, const dsymatrix&);
inline friend _dgematrix operator+(const _dgbmatrix&, const dsymatrix&);
inline friend _dgematrix operator+(const dsymatrix&, const dgsmatrix&);
inline friend _dgematrix operator+(const dsymatrix&, const _dgsmatrix&);
inline friend _dgematrix operator+(const dgsmatrix&, const dsymatrix&);
inline friend _dgematrix operator+(const _dgsmatrix&, const dsymatrix&);
//// - ////
inline friend _dsymatrix operator-(const dsymatrix&, const dsymatrix&);
inline friend _dsymatrix operator-(const dsymatrix&, const _dsymatrix&);
inline friend _dsymatrix operator-(const _dsymatrix&, const dsymatrix&);
inline friend _dgematrix operator-(const dsymatrix&, const dgematrix&);
inline friend _dgematrix operator-(const dsymatrix&, const _dgematrix&);
inline friend _dgematrix operator-(const dgematrix&, const dsymatrix&);
inline friend _dgematrix operator-(const _dgematrix&, const dsymatrix&);
inline friend _dgematrix operator-(const dsymatrix&, const dgbmatrix&);
inline friend _dgematrix operator-(const dsymatrix&, const _dgbmatrix&);
inline friend _dgematrix operator-(const dgbmatrix&, const dsymatrix&);
inline friend _dgematrix operator-(const _dgbmatrix&, const dsymatrix&);
inline friend _dgematrix operator-(const dsymatrix&, const dgsmatrix&);
inline friend _dgematrix operator-(const dsymatrix&, const _dgsmatrix&);
inline friend _dgematrix operator-(const dgsmatrix&, const dsymatrix&);
inline friend _dgematrix operator-(const _dgsmatrix&, const dsymatrix&);
//// * ////
inline friend _dgematrix operator*(const _dsymatrix&, const dsymatrix&);
inline friend _dgematrix operator*(const dsymatrix&, const _dsymatrix&);
inline friend _dgematrix operator*(const dsymatrix&, const dsymatrix&);
inline friend _dgematrix operator*(const dsymatrix&, const dgematrix&);
inline friend _dgematrix operator*(const dsymatrix&, const _dgematrix&);
inline friend _dgematrix operator*(const dgematrix&, const dsymatrix&);
inline friend _dgematrix operator*(const _dgematrix&, const dsymatrix&);
inline friend _dgematrix operator*(const dsymatrix&, const dgbmatrix&);
inline friend _dgematrix operator*(const dsymatrix&, const _dgbmatrix&);
inline friend _dgematrix operator*(const dgbmatrix&, const dsymatrix&);
inline friend _dgematrix operator*(const _dgbmatrix&, const dsymatrix&);
inline friend _dgematrix operator*(const dsymatrix&, const dgsmatrix&);
inline friend _dgematrix operator*(const dsymatrix&, const _dgsmatrix&);
inline friend _dgematrix operator*(const dgsmatrix&, const dsymatrix&);
inline friend _dgematrix operator*(const _dgsmatrix&, const dsymatrix&);
inline friend _dcovector operator*(const dsymatrix&, const dcovector&);
inline friend _dcovector operator*(const dsymatrix&, const _dcovector&);
inline friend _drovector operator*(const drovector&, const dsymatrix&);
inline friend _drovector operator*(const _drovector&, const dsymatrix&);
inline friend _dsymatrix operator*(const dsymatrix&, const double&);
inline friend _dsymatrix operator*(const double&, const dsymatrix&);
//// / ////
inline friend _dsymatrix operator/(const dsymatrix&, const double&);
//// friend classes ////
friend class dgematrix;
friend class _dgematrix;
friend class dgbmatrix;
friend class _dgbmatrix;
friend class _dsymatrix;
friend class dgsmatrix;
friend class _dgsmatrix;
friend class dssmatrix;
friend class _dssmatrix;
friend class dcovector;
friend class _dcovector;
friend class drovector;
friend class _drovector;
};