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//=============================================================================
//! Samll Real Double-precision General Dence Matrix Class
template<CPPL_INT m, CPPL_INT n> class dgematrix_small
{
public:
///////////////////////////////////////////////
/////////////////// objects ///////////////////
///////////////////////////////////////////////
double array[m*n]; //!< 1D array to store vector data
///////////////////////////////////////////////
///////////////// constructors ////////////////
///////////////////////////////////////////////
inline dgematrix_small();
inline explicit dgematrix_small(const dgematrix&);
inline ~dgematrix_small();
///////////////////////////////////////////////
////////////////// functions //////////////////
///////////////////////////////////////////////
//////// cast ////////
inline _dgematrix to_dgematrix() const;
//////// io ////////
inline double& operator()(const CPPL_INT& i, const CPPL_INT& j);
inline double operator()(const CPPL_INT& i, const CPPL_INT& j) const;
inline dgematrix_small<m,n>& set(const CPPL_INT& i, const CPPL_INT& j, const double& v);
template<CPPL_INT _m, CPPL_INT _n> inline friend std::ostream& operator<<(std::ostream&, const dgematrix_small<_m,_n>&);
inline void read(const char* filename);
inline void write(const char* filename) const;
//////// calc ////////
#ifndef _MSC_VER
template<CPPL_INT _m, CPPL_INT _n> inline friend dgematrix_small<n,m> t(const dgematrix_small<m,n>&);
template<CPPL_INT _m, CPPL_INT _n> inline friend void idamax(CPPL_INT&, CPPL_INT&, const dgematrix_small&);
template<CPPL_INT _m, CPPL_INT _n> inline friend double damax(const dgematrix_small&);
#endif//_MSC_VER
//////// misc ////////
inline dgematrix_small<m,n>& zero();
inline dgematrix_small<m,n>& identity();
inline dcovector_small<m> col(const CPPL_INT& j) const;
inline drovector_small<n> row(const CPPL_INT& i) const;
///////////////////////////////////////////////
///////////// numerical operators /////////////
///////////////////////////////////////////////
#ifndef _MSC_VER
//////// = ////////
template<CPPL_INT M, CPPL_INT N> inline dgematrix_small<M,N>& operator=(const dgematrix_small<M,N>&);
//////// += ////////
template<CPPL_INT M, CPPL_INT N> inline friend dgematrix_small<M,N>& operator+=(dgematrix_small<M,N>&, const dgematrix_small<M,N>&);
//////// -= ////////
template<CPPL_INT M, CPPL_INT N> inline friend dgematrix_small<M,N>& operator-=(dgematrix_small<M,N>&, const dgematrix_small<M,N>&);
//////// *= ////////
template<CPPL_INT M, CPPL_INT L, CPPL_INT N> inline friend dgematrix_small<M,N>& operator*=(dgematrix_small<M,L>&, const dgematrix_small<L,N>&);
template<CPPL_INT M, CPPL_INT N> inline friend dgematrix_small<M,N>& operator*=(dgematrix_small<M,N>&, const double&);
//////// /= ////////
template<CPPL_INT M, CPPL_INT N> inline friend dgematrix_small<M,N>& operator/=(dgematrix_small<M,N>&, const double&);
//////// unary ////////
template<CPPL_INT M, CPPL_INT N> inline friend const dgematrix_small<M,N>& operator+(const dgematrix_small<M,N>&);
template<CPPL_INT M, CPPL_INT N> inline friend dgematrix_small<M,N> operator-(const dgematrix_small<M,N>&);
//////// + ////////
template<CPPL_INT M, CPPL_INT N> inline friend dgematrix_small<M,N> operator+(const dgematrix_small<M,N>&, const dgematrix_small<M,N>&);
template<CPPL_INT M, CPPL_INT N> inline friend dgematrix_small<M,N> operator+(const dgematrix_small<M,N>&, const dsymatrix_small< N >&);
//////// - ////////
template<CPPL_INT M, CPPL_INT N> inline friend dgematrix_small<M,N> operator-(const dgematrix_small<M,N>&, const dgematrix_small<M,N>&);
template<CPPL_INT M, CPPL_INT N> inline friend dgematrix_small<M,N> operator-(const dgematrix_small<M,N>&, const dsymatrix_small< N >&);
//////// * ////////
template<CPPL_INT M, CPPL_INT N> inline friend dcovector_small< M > operator*(const dgematrix_small<M,N>&, const dcovector_small< N >&);
template<CPPL_INT M, CPPL_INT L, CPPL_INT N> inline friend dgematrix_small<M,N> operator*(const dgematrix_small<M,L>&, const dgematrix_small<L,N>&);
template<CPPL_INT M, CPPL_INT N> inline friend dgematrix_small<M,N> operator*(const dgematrix_small<M,N>&, const dsymatrix_small< N >&);
template<CPPL_INT M, CPPL_INT N> inline friend dgematrix_small<M,N> operator*(const dgematrix_small<M,N>&, const double&);
//////// / ////////
template<CPPL_INT M, CPPL_INT N> inline friend dgematrix_small<M,N> operator/(const dgematrix_small<M,N>&, const double&);
//////// double ////////
template<CPPL_INT M, CPPL_INT N> inline friend dgematrix_small<M,N> operator*(const double&, const dgematrix_small<M,N>&);
//////// hadamerd ////////
template<CPPL_INT M, CPPL_INT N> inline friend dgematrix_small<M,N> hadamerd(const dgematrix_small<M,N>&, const dgematrix_small<M,N>&);
template<CPPL_INT N> inline friend dgematrix_small<N,N> hadamerd(const dgematrix_small<N,N>&, const dsymatrix_small< N >&);
#endif//_MSC_VER
};
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
inline double det(const dgemat2&);
inline dgemat2 inv(const dgemat2&);
inline dgemat2 rotate(const dgemat2&, const double&);
inline dgemat2 t2m(const double&);
inline double det(const dgemat3&);
inline dgemat3 inv(const dgemat3&);
inline dgemat3 rotate(const dgemat3&, const dquater&);
inline dquater m2q(const dgemat3&);
inline double det(const dgemat4&);
inline dgemat4 inv(const dgemat4&);
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