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/*
Copyright (C) 2015 Arb authors
This file is part of Arb.
Arb 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 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "arb_mat.h"
void
arb_mat_trace(arb_t trace, const arb_mat_t mat, slong prec)
{
slong i;
if (!arb_mat_is_square(mat))
{
flint_printf("arb_mat_trace: a square matrix is required!\n");
flint_abort();
}
if (arb_mat_is_empty(mat))
{
arb_zero(trace);
return;
}
arb_set(trace, arb_mat_entry(mat, 0, 0));
for (i = 1; i < arb_mat_nrows(mat); i++)
{
arb_add(trace, trace, arb_mat_entry(mat, i, i), prec);
}
}
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