int test_over_gelsd(StreamType& oss)
{
typedef typename bindings::value_type<MatType>::type val_t;
typedef typename bindings::remove_imaginary<val_t>::type real_t;
const real_t rcond = -1; // use machine precision
fortran_int_t rank;
// return value
int err = 0;
// overdetermined matrix test
MatType mat(MatrixGenerator<MatType>()(row_size, col_range));
VecType vec(VectorGenerator<VecType>()(row_size));
//const int m = bindings::size_row(mat);
const int n = bindings::size_column(mat);
bindings::detail::array<real_t> s(n);
#if USE_OPTIMAL_WORKSPACE
MatType optimalmat(mat);
VecType optimalvec(vec);
err += lapack::gelsd(optimalmat, optimalvec, s, rcond, rank, lapack::optimal_workspace());
VecType optimalanswer(ublas::project(optimalvec, ublas::range(0, n)));
VecType optimal_check = ublas::prod(mat, optimalanswer);
#endif
#if USE_MINIMAL_WORKSPACE
MatType minimalmat(mat);
VecType minimalvec(vec);
err += lapack::gelsd(minimalmat, minimalvec, s, rcond, rank, lapack::minimal_workspace());
VecType minimalanswer(ublas::project(minimalvec, ublas::range(0, n)));
VecType minimal_check = ublas::prod(mat, minimalanswer);
#endif
matrix_print(oss, "A", mat);
oss << std::endl;
vector_print(oss, "B", vec);
oss << std::endl;
#if USE_OPTIMAL_WORKSPACE
vector_print(oss, "optimal workspace x", optimalanswer);
oss << std::endl;
#endif
#if USE_MINIMAL_WORKSPACE
vector_print(oss, "minimal workspace x", minimalanswer);
oss << std::endl;
#endif
#if USE_OPTIMAL_WORKSPACE
// check A*x=B
vector_print(oss, "optimal A*x=B", optimal_check);
oss << std::endl;
#endif
#if USE_MINIMAL_WORKSPACE
vector_print(oss, "minimal A*x=B", minimal_check);
oss << std::endl;
#endif
return err;
}
int test_multiple_gelsd(StreamType& oss)
{
// return value
int err = 0;
// multiple solutions vectors test
MatType mat(MatrixGenerator<MatType>()(row_size, col_size));
MatType vec(mat.size1(), 2);
ublas::column(vec, 0) = VectorGenerator<VecType>()(mat.size1());
ublas::column(vec, 1) = VectorGenerator<VecType>()(mat.size1());
const int m = traits::matrix_size1(mat);
const int n = traits::matrix_size2(mat);
const int nrhs = traits::matrix_size2(vec);
#if USE_OPTIMAL_WORKSPACE
MatType optimalmat(mat);
MatType optimalvec(vec);
err += lapack::gelsd(optimalmat, optimalvec, lapack::optimal_workspace());
MatType optimalanswer(ublas::project(optimalvec, ublas::range(0, n), ublas::range(0, nrhs)));
MatType optimal_check = ublas::prod(mat, optimalanswer);
#endif
#if USE_MINIMAL_WORKSPACE
MatType minimalmat(mat);
MatType minimalvec(vec);
err += lapack::gelsd(minimalmat, minimalvec, lapack::minimal_workspace());
MatType minimalanswer(ublas::project(minimalvec, ublas::range(0, n), ublas::range(0, nrhs)));
MatType minimal_check = ublas::prod(mat, minimalanswer);
#endif
matrix_print(oss, "A", mat);
oss << std::endl;
matrix_print(oss, "B", vec);
oss << std::endl;
#if USE_OPTIMAL_WORKSPACE
matrix_print(oss, "optimal workspace x", optimalanswer);
oss << std::endl;
#endif
#if USE_MINIMAL_WORKSPACE
matrix_print(oss, "minimal workspace x", minimalanswer);
oss << std::endl;
#endif
#if USE_OPTIMAL_WORKSPACE
// check A*x=B
matrix_print(oss, "optimal A*x=B", optimal_check);
oss << std::endl;
#endif
#if USE_MINIMAL_WORKSPACE
matrix_print(oss, "minimal A*x=B", minimal_check);
oss << std::endl;
#endif
return err;
}
int test_over_gelsd(StreamType& oss)
{
// return value
int err = 0;
// overdetermined matrix test
MatType mat(MatrixGenerator<MatType>()(row_size, col_range));
VecType vec(VectorGenerator<VecType>()(row_size));
const int m = traits::matrix_size1(mat);
const int n = traits::matrix_size2(mat);
#if USE_OPTIMAL_WORKSPACE
MatType optimalmat(mat);
VecType optimalvec(vec);
err += lapack::gelsd(optimalmat, optimalvec, lapack::optimal_workspace());
VecType optimalanswer(ublas::project(optimalvec, ublas::range(0, n)));
VecType optimal_check = ublas::prod(mat, optimalanswer);
#endif
#if USE_MINIMAL_WORKSPACE
MatType minimalmat(mat);
VecType minimalvec(vec);
err += lapack::gelsd(minimalmat, minimalvec, lapack::minimal_workspace());
VecType minimalanswer(ublas::project(minimalvec, ublas::range(0, n)));
VecType minimal_check = ublas::prod(mat, minimalanswer);
#endif
matrix_print(oss, "A", mat);
oss << std::endl;
vector_print(oss, "B", vec);
oss << std::endl;
#if USE_OPTIMAL_WORKSPACE
vector_print(oss, "optimal workspace x", optimalanswer);
oss << std::endl;
#endif
#if USE_MINIMAL_WORKSPACE
vector_print(oss, "minimal workspace x", minimalanswer);
oss << std::endl;
#endif
#if USE_OPTIMAL_WORKSPACE
// check A*x=B
vector_print(oss, "optimal A*x=B", optimal_check);
oss << std::endl;
#endif
#if USE_MINIMAL_WORKSPACE
vector_print(oss, "minimal A*x=B", minimal_check);
oss << std::endl;
#endif
return err;
}