//=============================================================================
//! Samll Complex Double-precision Symmetric Matrix Class
template<long n> class zhematrix_small
{
public:
///////////////////////////////////////////////
/////////////////// objects ///////////////////
///////////////////////////////////////////////
comple array[(n*(n+1))/2];
///////////////////////////////////////////////
///////////////// constructors ////////////////
///////////////////////////////////////////////
inline zhematrix_small();
inline explicit zhematrix_small(const zhematrix&);
inline ~zhematrix_small();
///////////////////////////////////////////////
////////////////// functions //////////////////
///////////////////////////////////////////////
//////// cast ////////
inline zgematrix_small<n,n> to_zgematrix_small() const;
inline zhematrix to_zhematrix() const;
//////// io ////////
inline comple& operator()(const long& i, const long& j);
inline comple operator()(const long& i, const long& j) const;
inline zhematrix_small<n>& set(const long&, const long&, const comple&);
template<long _n> inline friend std::ostream& operator<<(std::ostream&, const zhematrix_small<_n>&);
inline void read(const char* filename);
inline void write(const char* filename) const;
//////// misc ////////
inline zhematrix_small<n>& zero();
inline zhematrix_small<n>& identity();
///////////////////////////////////////////////
///////////// numerical operators /////////////
///////////////////////////////////////////////
#ifndef _MSC_VER
//////// = ////////
template<long N> inline zhematrix_small<N>& operator= (const zhematrix_small<N>&);
//////// += ////////
template<long N> inline friend zhematrix_small<N>& operator+=(zhematrix_small<N>&, const zhematrix_small<N>&);
//////// -= ////////
template<long N> inline friend zhematrix_small<N>& operator-=(zhematrix_small<N>&, const zhematrix_small<N>&);
//////// *= ////////
template<long N> inline friend zhematrix_small<N>& operator*=(zhematrix_small<N>&, const zhematrix_small<N>&);
template<long N> inline friend zhematrix_small<N>& operator*=(zhematrix_small<N>&, const double&);
template<long N> inline friend zhematrix_small<N>& operator*=(zhematrix_small<N>&, const comple&);
//////// /= ////////
template<long N> inline friend zhematrix_small<N>& operator/=(zhematrix_small<N>&, const double&);
template<long N> inline friend zhematrix_small<N>& operator/=(zhematrix_small<N>&, const comple&);
//////// unary ////////
template<long N> inline friend const zhematrix_small<N>& operator+(const zhematrix_small<N>&);
template<long N> inline friend zhematrix_small< N > operator-(const zhematrix_small<N>&);
//////// + ////////
template<long N> inline friend zgematrix_small<N,N> operator+(const zhematrix_small<N>&, const zgematrix_small<N,N>&);
template<long N> inline friend zhematrix_small< N > operator+(const zhematrix_small<N>&, const zhematrix_small< N >&);
//////// - ////////
template<long N> inline friend zgematrix_small<N,N> operator-(const zhematrix_small<N>&, const zgematrix_small<N,N>&);
template<long N> inline friend zhematrix_small< N > operator-(const zhematrix_small<N>&, const zhematrix_small< N >&);
//////// * ////////
template<long N> inline friend zcovector_small< N > operator*(const zhematrix_small<N>&, const zcovector_small< N >&);
template<long N> inline friend zgematrix_small<N,N> operator*(const zhematrix_small<N>&, const zgematrix_small<N,N>&);
template<long N> inline friend zgematrix_small<N,N> operator*(const zhematrix_small<N>&, const zhematrix_small< N >&);
template<long N> inline friend zhematrix_small< N > operator*(const zhematrix_small<N>&, const double&);
template<long N> inline friend zhematrix_small< N > operator*(const zhematrix_small<N>&, const comple&);
//////// / ////////
template<long N> inline friend zhematrix_small< N > operator/(const zhematrix_small<N>&, const double&);
template<long N> inline friend zhematrix_small< N > operator/(const zhematrix_small<N>&, const comple&);
//////// comple ////////
template<long N> inline friend zhematrix_small< N > operator*(const double&, const zhematrix_small< N >&);
template<long N> inline friend zhematrix_small< N > operator*(const comple&, const zhematrix_small< N >&);
//////// hadamerd ////////
template<long N> inline friend zgematrix_small<N,N> hadamerd(const zhematrix_small<N>&, const zgematrix_small<N,N>&);
template<long N> inline friend zhematrix_small< N > hadamerd(const zhematrix_small<N>&, const zhematrix_small< N >&);
#endif//_MSC_VER
};
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
inline comple det(const zhemat2&);
inline zhemat2 inv(const zhemat2&);
inline comple det(const zhemat3&);
inline zhemat3 inv(const zhemat3&);