//=============================================================================
//! Complex Double-precision General Band Matrix Class
class zgbmatrix
{
private:
//// objects ////
long M; //!< matrix row size (NOT accessible)
long N; //!< matrix column size (NOT accessible)
long KL; //!< lower band width (NOT accessible)
long KU; //!< upper band width (NOT accessible)
std::complex<double>* Array; //!< 1D array to store matrix data (NOT accessible)
std::complex<double>** Darray; //!< array of pointers of column head addresses(NOT accessible)
public:
//// const references ////
long const& m; //!< matrix row size (readable)
long const& n; //!< matrix column size (readable)
long const& kl; //!< lower band width (readable)
long const& ku; //!< upper band width (readable)
std::complex<double>* const& array; //!< 1D array to store matrix data (readable)
std::complex<double>** const& darray; //!< array of pointers of column head addresses (readable)
//// constructor ////
inline zgbmatrix();
inline zgbmatrix(const zgbmatrix&);
inline zgbmatrix(const _zgbmatrix&);
inline zgbmatrix(const long&, const long&, const long&, const long&);
inline zgbmatrix(const char*);
inline ~zgbmatrix(); //destructor
//// io ////
inline std::complex<double>& operator()(const long&, const long&);
inline std::complex<double> operator()(const long&, const long&) const;
inline void set(const long&, const long&, const std::complex<double>&) const;
inline friend std::ostream& operator<<(std::ostream&, const zgbmatrix&);
inline void write(const char *) const;
inline void read(const char *);
//// misc ////
inline void clear();
inline void zero();
inline void identity();
inline void chsign();
inline void copy(const zgbmatrix&);
inline void shallow_copy(const _zgbmatrix&);
inline void resize(const long&, const long&, const long&, const long&);
inline friend void swap(zgbmatrix&, zgbmatrix&);
inline friend _zgbmatrix _(zgbmatrix&);
//// calc ////
inline friend _zgbmatrix t(const zgbmatrix&);
inline friend _zgematrix i(const zgbmatrix&);
inline friend _zgbmatrix conj(const zgbmatrix&);
inline friend _zgbmatrix conjt(const zgbmatrix&);
//// lapack ////
inline long zgbsv(zgematrix&);
inline long zgbsv(zcovector&);
//// unary ////
inline friend const zgbmatrix& operator+(const zgbmatrix&);
inline friend _zgbmatrix operator-(const zgbmatrix&);
//// operators with zgbmatrix ////
inline zgbmatrix& operator=(const zgbmatrix&);
inline zgbmatrix& operator+=(const zgbmatrix&);
inline zgbmatrix& operator-=(const zgbmatrix&);
inline zgbmatrix& operator*=(const zgbmatrix&);
//// operators with _zgbmatrix ////
inline zgbmatrix& operator=(const _zgbmatrix&);
inline zgbmatrix& operator+=(const _zgbmatrix&);
inline zgbmatrix& operator-=(const _zgbmatrix&);
inline zgbmatrix& operator*=(const _zgbmatrix&);
//// operators with double ////
inline zgbmatrix& operator*=(const double&);
inline zgbmatrix& operator/=(const double&);
//// operators with std::complex<double> ////
inline zgbmatrix& operator*=(const std::complex<double>&);
inline zgbmatrix& operator/=(const std::complex<double>&);
//// + ////
inline friend _zgbmatrix operator+(const zgbmatrix&, const zgbmatrix&);
inline friend _zgbmatrix operator+(const zgbmatrix&, const _zgbmatrix&);
inline friend _zgbmatrix operator+(const _zgbmatrix&, const zgbmatrix&);
inline friend _zgematrix operator+(const zgbmatrix&, const zgematrix&);
inline friend _zgematrix operator+(const zgbmatrix&, const _zgematrix&);
inline friend _zgematrix operator+(const zgematrix&, const zgbmatrix&);
inline friend _zgematrix operator+(const _zgematrix&, const zgbmatrix&);
inline friend _zgematrix operator+(const zgbmatrix&, const zhematrix&);
inline friend _zgematrix operator+(const zgbmatrix&, const _zhematrix&);
inline friend _zgematrix operator+(const zhematrix&, const zgbmatrix&);
inline friend _zgematrix operator+(const _zhematrix&, const zgbmatrix&);
inline friend _zgematrix operator+(const zgbmatrix&, const zssmatrix&);
inline friend _zgematrix operator+(const zgbmatrix&, const _zssmatrix&);
inline friend _zgematrix operator+(const zssmatrix&, const zgbmatrix&);
inline friend _zgematrix operator+(const _zssmatrix&, const zgbmatrix&);
//// - ////
inline friend _zgbmatrix operator-(const zgbmatrix&, const zgbmatrix&);
inline friend _zgbmatrix operator-(const zgbmatrix&, const _zgbmatrix&);
inline friend _zgbmatrix operator-(const _zgbmatrix&, const zgbmatrix&);
inline friend _zgematrix operator-(const zgbmatrix&, const zgematrix&);
inline friend _zgematrix operator-(const zgbmatrix&, const _zgematrix&);
inline friend _zgematrix operator-(const zgematrix&, const zgbmatrix&);
inline friend _zgematrix operator-(const _zgematrix&, const zgbmatrix&);
inline friend _zgematrix operator-(const zgbmatrix&, const zhematrix&);
inline friend _zgematrix operator-(const zgbmatrix&, const _zhematrix&);
inline friend _zgematrix operator-(const zhematrix&, const zgbmatrix&);
inline friend _zgematrix operator-(const _zhematrix&, const zgbmatrix&);
inline friend _zgematrix operator-(const zgbmatrix&, const zssmatrix&);
inline friend _zgematrix operator-(const zgbmatrix&, const _zssmatrix&);
inline friend _zgematrix operator-(const zssmatrix&, const zgbmatrix&);
inline friend _zgematrix operator-(const _zssmatrix&, const zgbmatrix&);
//// * ////
inline friend _zgbmatrix operator*(const zgbmatrix&, const zgbmatrix&);
inline friend _zgbmatrix operator*(const zgbmatrix&, const _zgbmatrix&);
inline friend _zgbmatrix operator*(const _zgbmatrix&, const zgbmatrix&);
inline friend _zgematrix operator*(const zgbmatrix&, const zgematrix&);
inline friend _zgematrix operator*(const zgbmatrix&, const _zgematrix&);
inline friend _zgematrix operator*(const zgematrix&, const zgbmatrix&);
inline friend _zgematrix operator*(const _zgematrix&, const zgbmatrix&);
inline friend _zgematrix operator*(const zgbmatrix&, const zhematrix&);
inline friend _zgematrix operator*(const zgbmatrix&, const _zhematrix&);
inline friend _zgematrix operator*(const zhematrix&, const zgbmatrix&);
inline friend _zgematrix operator*(const _zhematrix&, const zgbmatrix&);
inline friend _zgematrix operator*(const zgbmatrix&, const zssmatrix&);
inline friend _zgematrix operator*(const zgbmatrix&, const _zssmatrix&);
inline friend _zgematrix operator*(const zssmatrix&, const zgbmatrix&);
inline friend _zgematrix operator*(const _zssmatrix&, const zgbmatrix&);
inline friend _zcovector operator*(const zgbmatrix&, const zcovector&);
inline friend _zcovector operator*(const zgbmatrix&, const _zcovector&);
inline friend _zrovector operator*(const zrovector&, const zgbmatrix&);
inline friend _zrovector operator*(const _zrovector&, const zgbmatrix&);
inline friend _zgbmatrix operator*(const zgbmatrix&, const double&);
inline friend _zgbmatrix operator*(const double&, const zgbmatrix&);
inline friend _zgbmatrix operator*(const zgbmatrix&, const std::complex<double>&);
inline friend _zgbmatrix operator*(const std::complex<double>&, const zgbmatrix&);
//// / ////
inline friend _zgbmatrix operator/(const zgbmatrix&, const double&);
inline friend _zgbmatrix operator/(const zgbmatrix&, const std::complex<double>&);
//// friend classes ////
friend class zgematrix;
friend class _zgematrix;
friend class _zgbmatrix;
friend class zhematrix;
friend class _zhematrix;
friend class zcovector;
friend class _zcovector;
friend class zrovector;
friend class _zrovector;
};