//=============================================================================
/*! return transposed _dsymatrix */
inline _dsymatrix t(const _dsymatrix& mat)
{
#ifdef CPPL_VERBOSE
std::cerr << "# [MARK] t(const _dsymatrix&)" << std::endl;
#endif//CPPL_VERBOSE
#ifdef CPPL_DEBUG
std::cerr << "[WARNING] t(const dsymatrix&)" << std::endl
<< "This function call has no effect since the matrix is symmetric."
<< std::endl;
#endif//CPPL_DEBUG
return mat;
}
//=============================================================================
/*! return its inverse matrix */
inline _dsymatrix i(const _dsymatrix& mat)
{
#ifdef CPPL_VERBOSE
std::cerr << "# [MARK] i(const _dsymatrix&)" << std::endl;
#endif//CPPL_VERBOSE
dsymatrix mat_cp(mat);
dsymatrix mat_inv(mat_cp.n);
mat_inv.identity();
char UPLO('L');
long NRHS(mat.N), LDA(mat.N), *IPIV(new long[mat.N]), LDB(mat.N), LWORK(-1), INFO(1);
double *WORK( new double[1] );
dsysv_(UPLO, mat_cp.n, NRHS, mat_cp.array, LDA, IPIV, mat_inv.array, LDB, WORK, LWORK, INFO);
LWORK = long(WORK[0]);
delete [] WORK; WORK = new double[LWORK];
dsysv_(UPLO, mat_cp.n, NRHS, mat_cp.array, LDA, IPIV, mat_inv.array, LDB, WORK, LWORK, INFO);
delete [] WORK; delete [] IPIV;
if(INFO!=0){
std::cerr << "[WARNING] i(dsymatrix&) Serious trouble happend. INFO = " << INFO << "." << std::endl;
}
return _(mat_inv);
}
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
//=============================================================================
/*! search the index of element having the largest absolute value
in 0-based numbering system */
inline void idamax(long& i, long& j, const _dsymatrix& mat)
{
#ifdef CPPL_VERBOSE
std::cerr << "# [MARK] idamax(long&, long&, const _dsymatrix&)" << std::endl;
#endif//CPPL_VERBOSE
dsymatrix newmat(mat);
idamax(i, j, newmat);
}
//=============================================================================
/*! return its largest absolute value */
inline double damax(const _dsymatrix& mat)
{
#ifdef CPPL_VERBOSE
std::cerr << "# [MARK] damax(const _dsymatrix&)" << std::endl;
#endif//CPPL_VERBOSE
dsymatrix newmat(mat);
return damax(newmat);
}