arb/acb/test/t-pow_fmpz.c
2014-05-15 16:36:30 +02:00

104 lines
3.1 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, 2013 Fredrik Johansson
******************************************************************************/
#include "acb.h"
int main()
{
long iter;
flint_rand_t state;
printf("pow_fmpz....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 5000; iter++)
{
acb_t a, b, c, d;
fmpz_t e1, e2, e3;
long prec1, prec2;
prec1 = 2 + n_randint(state, 1000);
prec2 = prec1 + 30;
acb_init(a);
acb_init(b);
acb_init(c);
acb_init(d);
fmpz_init(e1);
fmpz_init(e2);
fmpz_init(e3);
acb_randtest(a, state, 1 + n_randint(state, 1000), 200);
acb_randtest(b, state, 1 + n_randint(state, 1000), 200);
fmpz_randtest(e1, state, 200);
fmpz_randtest(e2, state, 200);
acb_pow_fmpz(b, a, e1, prec1);
acb_pow_fmpz(c, a, e1, prec2);
if (!acb_overlaps(b, c))
{
printf("FAIL: overlap\n\n");
printf("a = "); acb_print(a); printf("\n\n");
printf("b = "); acb_print(b); printf("\n\n");
printf("c = "); acb_print(c); printf("\n\n");
printf("e1 = "); fmpz_print(e1); printf("\n\n");
abort();
}
/* check a^(e1+e2) = a^e1*a^e2 */
acb_pow_fmpz(c, a, e2, prec1);
acb_mul(d, b, c, prec1);
fmpz_add(e3, e1, e2);
acb_pow_fmpz(c, a, e3, prec1);
if (!acb_overlaps(c, d))
{
printf("FAIL: functional equation\n\n");
printf("a = "); acb_print(a); printf("\n\n");
printf("b = "); acb_print(b); printf("\n\n");
printf("c = "); acb_print(c); printf("\n\n");
printf("d = "); acb_print(d); printf("\n\n");
printf("e1 = "); fmpz_print(e1); printf("\n\n");
printf("e2 = "); fmpz_print(e2); printf("\n\n");
abort();
}
acb_clear(a);
acb_clear(b);
acb_clear(c);
acb_clear(d);
fmpz_clear(e1);
fmpz_clear(e2);
fmpz_clear(e3);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}