/*
Copyright (C) 2011 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 "fmpq.h"
#include "fmpq_mat.h"
void
fmpq_mat_trace(fmpq_t trace, const fmpq_mat_t mat)
{
slong i, n = fmpq_mat_nrows(mat);
if (n == 0)
fmpq_zero(trace);
else
{
fmpq_set(trace, fmpq_mat_entry(mat, 0, 0));
for (i = 1; i < n; i++)
fmpq_add(trace, trace, fmpq_mat_entry(mat, i, i));
}
}