arb/fmprb/test/t-pow.c
2013-09-19 00:30:04 +01:00

130 lines
3.9 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 "fmprb.h"
int main()
{
long iter;
flint_rand_t state;
printf("pow....");
fflush(stdout);
flint_randinit(state);
/* check large arguments */
for (iter = 0; iter < 20000; iter++)
{
fmprb_t a, b, c, d, e, f;
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_init(e);
fmprb_init(f);
fmprb_randtest(a, state, 1 + n_randint(state, 1000), 200);
fmprb_randtest(b, state, 1 + n_randint(state, 1000), 200);
fmprb_pow(c, a, b, prec1);
fmprb_pow(d, a, b, prec2);
if (!fmprb_overlaps(c, d))
{
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");
printf("d = "); fmprb_print(d); printf("\n\n");
abort();
}
fmprb_randtest(c, state, 1 + n_randint(state, 1000), 200);
/* check a^(b+c) = a^b*a^c */
fmprb_add(e, b, c, prec1);
fmprb_pow(d, a, e, prec1);
fmprb_pow(e, a, b, prec1);
fmprb_pow(f, a, c, prec1);
fmprb_mul(e, e, f, prec1);
if (!fmprb_overlaps(d, e))
{
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");
printf("d = "); fmprb_print(d); printf("\n\n");
printf("e = "); fmprb_print(e); printf("\n\n");
abort();
}
fmprb_pow(c, a, b, prec1);
fmprb_set(d, a);
fmprb_pow(d, d, b, prec2);
if (!fmprb_overlaps(c, d))
{
printf("FAIL: aliasing 1\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");
printf("d = "); fmprb_print(d); printf("\n\n");
abort();
}
fmprb_set(d, b);
fmprb_pow(d, a, d, prec2);
if (!fmprb_overlaps(c, d))
{
printf("FAIL: aliasing 2\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");
printf("d = "); fmprb_print(d); printf("\n\n");
abort();
}
fmprb_clear(a);
fmprb_clear(b);
fmprb_clear(c);
fmprb_clear(d);
fmprb_clear(e);
fmprb_clear(f);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}