//=============================================================================
//! Real Double-precision General Band Matrix Class
class dgbmatrix
{
public:
///////////////////////////////////////////////
/////////////////// objects ///////////////////
///////////////////////////////////////////////
long m; //!< matrix row size
long n; //!< matrix column size
long kl; //!< lower band width
long ku; //!< upper band width
double* array; //!< 1D array to store matrix data
double** darray; //!< array of pointers of column head addresses
///////////////////////////////////////////////
///////////////// constructors ////////////////
///////////////////////////////////////////////
inline dgbmatrix();
inline dgbmatrix(const dgbmatrix&);
inline dgbmatrix(const _dgbmatrix&);
inline dgbmatrix(const long&, const long&, const long&, const long&);
inline dgbmatrix(const char *);
inline ~dgbmatrix(); //destructor
///////////////////////////////////////////////
////////////////// functions //////////////////
///////////////////////////////////////////////
//////// cast ////////
inline _zgbmatrix to_zgbmatrix() const;
inline _dgematrix to_dgematrix() const;
//////// io ////////
inline double& operator()(const long&, const long&);
inline double operator()(const long&, const long&) const;
inline dgbmatrix& set(const long&, const long&, const double&); //const;
inline friend std::ostream& operator<<(std::ostream&, const dgbmatrix&);
inline void write(const char*) const;
inline void read(const char*);
//////// misc ////////
inline void clear();
inline dgbmatrix& zero();
inline dgbmatrix& identity();
inline void chsign();
inline void copy(const dgbmatrix&);
inline void shallow_copy(const _dgbmatrix&);
inline dgbmatrix& resize(const long&, const long&, const long&, const long&);
inline _drovector row(const long&) const;
inline _dcovector col(const long&) const;
inline friend void swap(dgbmatrix&, dgbmatrix&);
inline friend _dgbmatrix _(dgbmatrix&);
//////// calc ////////
inline friend _dgbmatrix t(const dgbmatrix&);
inline friend _dgematrix i(const dgbmatrix&);
//////// lapack ////////
inline long dgbsv(dgematrix&);
inline long dgbsv(dcovector&);
///////////////////////////////////////////////
///////////// numerical operators /////////////
///////////////////////////////////////////////
//////// = ////////
inline dgbmatrix& operator=(const dgbmatrix&);
inline dgbmatrix& operator=(const _dgbmatrix&);
//////// += ////////
inline dgbmatrix& operator+=(const dgbmatrix&);
inline dgbmatrix& operator+=(const _dgbmatrix&);
//////// -= ////////
inline dgbmatrix& operator-=(const dgbmatrix&);
inline dgbmatrix& operator-=(const _dgbmatrix&);
//////// *= ////////
inline dgbmatrix& operator*=(const dgbmatrix&);
inline dgbmatrix& operator*=(const _dgbmatrix&);
inline dgbmatrix& operator*=(const double&);
//////// /= ////////
inline dgbmatrix& operator/=(const double&);
//////// unary ////////
inline friend const dgbmatrix& operator+(const dgbmatrix&);
inline friend _dgbmatrix operator-(const dgbmatrix&);
//////// + ////////
inline friend _dgematrix operator+(const dgbmatrix&, const dgematrix&);
inline friend _dgematrix operator+(const dgbmatrix&, const _dgematrix&);
inline friend _dgematrix operator+(const dgbmatrix&, const dsymatrix&);
inline friend _dgematrix operator+(const dgbmatrix&, const _dsymatrix&);
inline friend _dgbmatrix operator+(const dgbmatrix&, const dgbmatrix&);
inline friend _dgbmatrix operator+(const dgbmatrix&, const _dgbmatrix&);
inline friend _dgematrix operator+(const dgbmatrix&, const dgsmatrix&);
inline friend _dgematrix operator+(const dgbmatrix&, const _dgsmatrix&);
inline friend _dgematrix operator+(const dgbmatrix&, const dssmatrix&);
inline friend _dgematrix operator+(const dgbmatrix&, const _dssmatrix&);
//////// - ////////
inline friend _dgematrix operator-(const dgbmatrix&, const dgematrix&);
inline friend _dgematrix operator-(const dgbmatrix&, const _dgematrix&);
inline friend _dgematrix operator-(const dgbmatrix&, const dsymatrix&);
inline friend _dgematrix operator-(const dgbmatrix&, const _dsymatrix&);
inline friend _dgbmatrix operator-(const dgbmatrix&, const dgbmatrix&);
inline friend _dgbmatrix operator-(const dgbmatrix&, const _dgbmatrix&);
inline friend _dgematrix operator-(const dgbmatrix&, const dgsmatrix&);
inline friend _dgematrix operator-(const dgbmatrix&, const _dgsmatrix&);
inline friend _dgematrix operator-(const dgbmatrix&, const dssmatrix&);
inline friend _dgematrix operator-(const dgbmatrix&, const _dssmatrix&);
//////// * ////////
inline friend _dcovector operator*(const dgbmatrix&, const dcovector&);
inline friend _dcovector operator*(const dgbmatrix&, const _dcovector&);
inline friend _dgematrix operator*(const dgbmatrix&, const dgematrix&);
inline friend _dgematrix operator*(const dgbmatrix&, const _dgematrix&);
inline friend _dgematrix operator*(const dgbmatrix&, const dsymatrix&);
inline friend _dgematrix operator*(const dgbmatrix&, const _dsymatrix&);
inline friend _dgbmatrix operator*(const dgbmatrix&, const dgbmatrix&);
inline friend _dgbmatrix operator*(const dgbmatrix&, const _dgbmatrix&);
inline friend _dgematrix operator*(const dgbmatrix&, const dgsmatrix&);
inline friend _dgematrix operator*(const dgbmatrix&, const _dgsmatrix&);
inline friend _dgematrix operator*(const dgbmatrix&, const dssmatrix&);
inline friend _dgematrix operator*(const dgbmatrix&, const _dssmatrix&);
inline friend _dgbmatrix operator*(const dgbmatrix&, const double&);
//////// / ////////
inline friend _dgbmatrix operator/(const dgbmatrix&, const double&);
//////// double ////////
inline friend _dgbmatrix operator*(const double&, const dgbmatrix&);
};