arb/fmpcb/test/t-cot_pi.c
2013-07-30 13:53:10 +02:00

104 lines
3 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) 2013 Fredrik Johansson
******************************************************************************/
#include "fmpcb.h"
int main()
{
long iter;
flint_rand_t state;
printf("cot_pi....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000; iter++)
{
fmpcb_t x, y, a, b, c;
long prec1, prec2;
prec1 = 2 + n_randint(state, 1000);
prec2 = prec1 + 30;
fmpcb_init(x);
fmpcb_init(y);
fmpcb_init(a);
fmpcb_init(b);
fmpcb_init(c);
fmpcb_randtest(x, state, 1 + n_randint(state, 1000), 2 + n_randint(state, 100));
fmpcb_cot_pi(a, x, prec1);
fmpcb_cot_pi(b, x, prec2);
/* check consistency */
if (!fmpcb_overlaps(a, b))
{
printf("FAIL: overlap\n\n");
printf("x = "); fmpcb_print(x); printf("\n\n");
printf("a = "); fmpcb_print(a); printf("\n\n");
printf("b = "); fmpcb_print(b); printf("\n\n");
abort();
}
/* compare with cot */
fmprb_const_pi(fmpcb_realref(c), prec1);
fmpcb_mul_fmprb(y, x, fmpcb_realref(c), prec1);
fmpcb_cot(c, y, prec1);
if (!fmpcb_overlaps(a, c))
{
printf("FAIL: functional equation\n\n");
printf("x = "); fmpcb_print(x); printf("\n\n");
printf("y = "); fmpcb_print(y); printf("\n\n");
printf("a = "); fmpcb_print(a); printf("\n\n");
printf("c = "); fmpcb_print(c); printf("\n\n");
abort();
}
fmpcb_cot_pi(x, x, prec1);
if (!fmpcb_overlaps(a, x))
{
printf("FAIL: aliasing\n\n");
printf("a = "); fmpcb_print(a); printf("\n\n");
printf("x = "); fmpcb_print(x); printf("\n\n");
abort();
}
fmpcb_clear(x);
fmpcb_clear(y);
fmpcb_clear(a);
fmpcb_clear(b);
fmpcb_clear(c);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}