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/*
Copyright (C) 2022 Fredrik Johansson
This file is part of FLINT.
FLINT is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 3 of the License, or
(at your option) any later version. See <https://www.gnu.org/licenses/>.
*/
#include "perm.h"
#include "gr_mat.h"
int
gr_mat_nonsingular_solve_den_fflu(gr_mat_t X, gr_ptr den, const gr_mat_t A, const gr_mat_t B, gr_ctx_t ctx)
{
int status = GR_SUCCESS;
slong rank, n, m, *perm;
gr_mat_t LU;
n = gr_mat_nrows(A, ctx);
m = gr_mat_ncols(X, ctx);
if (n == 0)
return GR_SUCCESS;
perm = _perm_init(n);
gr_mat_init(LU, n, n, ctx);
status = gr_mat_fflu(&rank, perm, LU, den, A, 1, ctx);
if (status == GR_SUCCESS && rank == n)
{
if (m != 0)
status |= gr_mat_nonsingular_solve_fflu_precomp(X, perm, LU, B, ctx);
}
else
{
status |= GR_DOMAIN;
}
gr_mat_clear(LU, ctx);
_perm_clear(perm);
return status;
}