mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
136 lines
3.7 KiB
C
136 lines
3.7 KiB
C
/*=============================================================================
|
|
|
|
This file is part of ARB.
|
|
|
|
ARB is free software; you can redistribute it and/or modify
|
|
it under the terms of the GNU General Public License as published by
|
|
the Free Software Foundation; either version 2 of the License, or
|
|
(at your option) any later version.
|
|
|
|
ARB 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 General Public License for more details.
|
|
|
|
You should have received a copy of the GNU General Public License
|
|
along with ARB; if not, write to the Free Software
|
|
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
|
|
|
|
=============================================================================*/
|
|
/******************************************************************************
|
|
|
|
Copyright (C) 2012 Fredrik Johansson
|
|
|
|
******************************************************************************/
|
|
|
|
#include "fmprb.h"
|
|
|
|
int main()
|
|
{
|
|
long iter;
|
|
flint_rand_t state;
|
|
|
|
printf("cos....");
|
|
fflush(stdout);
|
|
|
|
flint_randinit(state);
|
|
|
|
for (iter = 0; iter < 100000; iter++)
|
|
{
|
|
fmprb_t a, b;
|
|
fmpq_t q;
|
|
mpfr_t t;
|
|
long prec = 2 + n_randint(state, 200);
|
|
|
|
fmprb_init(a);
|
|
fmprb_init(b);
|
|
fmpq_init(q);
|
|
mpfr_init2(t, prec + 100);
|
|
|
|
fmprb_randtest(a, state, 1 + n_randint(state, 200), 3);
|
|
fmprb_randtest(b, state, 1 + n_randint(state, 200), 3);
|
|
fmprb_get_rand_fmpq(q, state, a, 1 + n_randint(state, 200));
|
|
|
|
fmpq_get_mpfr(t, q, MPFR_RNDN);
|
|
mpfr_cos(t, t, MPFR_RNDN);
|
|
|
|
fmprb_cos(b, a, prec);
|
|
|
|
if (!fmprb_contains_mpfr(b, t))
|
|
{
|
|
printf("FAIL: containment\n\n");
|
|
printf("a = "); fmprb_print(a); printf("\n\n");
|
|
printf("b = "); fmprb_print(b); printf("\n\n");
|
|
abort();
|
|
}
|
|
|
|
fmprb_cos(a, a, prec);
|
|
|
|
if (!fmprb_equal(a, b))
|
|
{
|
|
printf("FAIL: aliasing\n\n");
|
|
abort();
|
|
}
|
|
|
|
fmprb_clear(a);
|
|
fmprb_clear(b);
|
|
fmpq_clear(q);
|
|
mpfr_clear(t);
|
|
}
|
|
|
|
/* check large arguments */
|
|
for (iter = 0; iter < 10000; iter++)
|
|
{
|
|
fmprb_t a, b, c, d;
|
|
long prec1, prec2;
|
|
|
|
prec1 = 2 + n_randint(state, 1000);
|
|
prec2 = prec1 + 30;
|
|
|
|
fmprb_init(a);
|
|
fmprb_init(b);
|
|
fmprb_init(c);
|
|
fmprb_init(d);
|
|
|
|
fmprb_randtest_precise(a, state, 1 + n_randint(state, 1000), 100);
|
|
|
|
fmprb_cos(b, a, prec1);
|
|
fmprb_cos(c, a, prec2);
|
|
|
|
if (!fmprb_overlaps(b, c))
|
|
{
|
|
printf("FAIL: overlap\n\n");
|
|
printf("a = "); fmprb_print(a); printf("\n\n");
|
|
printf("b = "); fmprb_print(b); printf("\n\n");
|
|
printf("c = "); fmprb_print(c); printf("\n\n");
|
|
abort();
|
|
}
|
|
|
|
/* check cos(2a) = 2cos(a)^2-1 */
|
|
fmprb_mul_2exp_si(c, a, 1);
|
|
fmprb_cos(c, c, prec1);
|
|
|
|
fmprb_mul(b, b, b, prec1);
|
|
fmprb_mul_2exp_si(b, b, 1);
|
|
fmprb_sub_ui(b, b, 1, prec1);
|
|
|
|
if (!fmprb_overlaps(b, c))
|
|
{
|
|
printf("FAIL: functional equation\n\n");
|
|
printf("a = "); fmprb_print(a); printf("\n\n");
|
|
printf("b = "); fmprb_print(b); printf("\n\n");
|
|
printf("c = "); fmprb_print(c); printf("\n\n");
|
|
abort();
|
|
}
|
|
|
|
fmprb_clear(a);
|
|
fmprb_clear(b);
|
|
fmprb_clear(c);
|
|
fmprb_clear(d);
|
|
}
|
|
|
|
flint_randclear(state);
|
|
_fmpz_cleanup();
|
|
printf("PASS\n");
|
|
return EXIT_SUCCESS;
|
|
}
|