mirror of
https://github.com/arjuncr/Linux-from-scratch.git
synced 2026-01-15 00:37:17 +00:00
81 lines
2.2 KiB
C
81 lines
2.2 KiB
C
/* trootofunity -- test file for mpc_rootofunity.
|
|
|
|
Copyright (C) 2012, 2016 INRIA
|
|
|
|
This file is part of GNU MPC.
|
|
|
|
GNU MPC is free software; you can redistribute it and/or modify it under
|
|
the terms of the GNU Lesser General Public License as published by the
|
|
Free Software Foundation; either version 3 of the License, or (at your
|
|
option) any later version.
|
|
|
|
GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY
|
|
WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
|
|
FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
|
|
more details.
|
|
|
|
You should have received a copy of the GNU Lesser General Public License
|
|
along with this program. If not, see http://www.gnu.org/licenses/ .
|
|
*/
|
|
|
|
#include "mpc-tests.h"
|
|
|
|
#define MPC_FUNCTION_CALL \
|
|
P[0].mpc_inex = mpc_rootofunity (P[1].mpc, P[2].ui, P[3].ui, P[4].mpc_rnd)
|
|
|
|
#include "data_check.tpl"
|
|
#include "tgeneric.tpl"
|
|
|
|
static void
|
|
check (unsigned long int n)
|
|
/* checks whether zeta_n^n = 1, which is somewhat dangerous in floating
|
|
point */
|
|
{
|
|
mpc_t z, zero;
|
|
mpfr_prec_t prec;
|
|
|
|
mpc_init2 (z, 2);
|
|
mpc_init2 (zero, 2);
|
|
|
|
for (prec = 2*n; prec < 1000; prec = (mpfr_prec_t) (prec * 1.1 + 1)) {
|
|
mpc_set_prec (z, prec);
|
|
mpc_set_prec (zero, prec);
|
|
|
|
mpc_rootofunity (z, n, 1, MPC_RNDNN);
|
|
mpc_pow_ui (zero, z, n, MPC_RNDNN);
|
|
mpc_sub_ui (zero, zero, 1u, MPC_RNDNN);
|
|
if (MPC_MAX (mpfr_get_exp (mpc_realref (zero)), mpfr_get_exp (mpc_imagref (zero)))
|
|
> - ((long int) prec - (long int) n)) {
|
|
fprintf (stderr, "rootofunity too imprecise for n=%lu\n", n);
|
|
MPC_OUT (z);
|
|
MPC_OUT (zero);
|
|
exit (1);
|
|
}
|
|
}
|
|
|
|
mpc_clear (z);
|
|
mpc_clear (zero);
|
|
}
|
|
|
|
|
|
int
|
|
main (void)
|
|
{
|
|
unsigned long int n;
|
|
|
|
for (n = 1; n < 10000; n += 10)
|
|
check (n);
|
|
|
|
test_start ();
|
|
|
|
data_check_template ("rootofunity.dsc", "rootofunity.dat");
|
|
|
|
/* Avoid checking roots of unity of high order at very low precision,
|
|
so start only at 20. */
|
|
tgeneric_template ("rootofunity.dsc", 20, 512, 7, 256);
|
|
|
|
test_end ();
|
|
|
|
return 0;
|
|
}
|