//=============================================================================
/*! zgesvd_check */
void zgesvd_check()
{
cout << "############ check zgesvd ############" << endl;
srand(time(NULL));
int M(4), N(3);
//// make zgematrix A ////
CPPL::zgematrix A(M,N);
for(int i=0; i<A.m; i++){ for(int j=0; j<A.n; j++){
A(i,j) =complex<double>(rand()/(RAND_MAX/10), rand()/(RAND_MAX/10));
}}
//// make A_original ////
CPPL::zgematrix A_original(A);
//// make S, U and VT ////
CPPL::dcovector S;
CPPL::zgematrix U, VT;
//// SVD A ////
A.zgesvd(S,U,VT);
//// print A, S, U, and VT ////
cout << "A=\n" << A << endl;
cout << "S=\n" << S << endl;
cout << "U=\n" << U << endl;
cout << "VT=\n" << VT << endl;
CPPL::zgematrix S_matrix(M,N);
S_matrix.zero();
for(int i=0; i<CPPL::min(M,N); i++){ S_matrix(i,i) =S(i); }
cout << "S_matrix=\n" << S_matrix << endl;
cout << "A_original=\n" << A_original << endl;
cout << "U*S_matrix*VT=\n" << U*S_matrix*VT << endl;
}