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/* Test mpz_root, mpz_rootrem, and mpz_perfect_power_p.
Copyright 1991, 1993, 1994, 1996, 2000, 2001, 2009 Free Software Foundation, Inc.
This file is part of the GNU MP Library.
The GNU MP Library 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.
The GNU MP Library 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 the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
#include <stdio.h>
#include <stdlib.h>
#include "gmp.h"
#include "gmp-impl.h"
#include "tests.h"
void debug_mp __GMP_PROTO ((mpz_t, int));
void
check_one (mpz_t root1, mpz_t x2, unsigned long nth, int i)
{
mpz_t temp, temp2;
mpz_t root2, rem2;
mpz_init (root2);
mpz_init (rem2);
mpz_init (temp);
mpz_init (temp2);
MPZ_CHECK_FORMAT (root1);
mpz_rootrem (root2, rem2, x2, nth);
MPZ_CHECK_FORMAT (root2);
MPZ_CHECK_FORMAT (rem2);
mpz_pow_ui (temp, root1, nth);
MPZ_CHECK_FORMAT (temp);
mpz_add (temp2, temp, rem2);
/* Is power of result > argument? */
if (mpz_cmp (root1, root2) != 0 || mpz_cmp (x2, temp2) != 0 || mpz_cmp (temp, x2) > 0)
{
fprintf (stderr, "ERROR after test %d\n", i);
debug_mp (x2, 10);
debug_mp (root1, 10);
debug_mp (root2, 10);
fprintf (stderr, "nth: %lu\n", nth);
abort ();
}
if (nth > 1 && mpz_cmp_ui (temp, 1L) > 0 && ! mpz_perfect_power_p (temp))
{
fprintf (stderr, "ERROR in mpz_perfect_power_p after test %d\n", i);
debug_mp (temp, 10);
debug_mp (root1, 10);
fprintf (stderr, "nth: %lu\n", nth);
abort ();
}
if (nth <= 10000) /* skip too expensive test */
{
mpz_add_ui (temp2, root1, 1L);
mpz_pow_ui (temp2, temp2, nth);
MPZ_CHECK_FORMAT (temp2);
/* Is square of (result + 1) <= argument? */
if (mpz_cmp (temp2, x2) <= 0)
{
fprintf (stderr, "ERROR after test %d\n", i);
debug_mp (x2, 10);
debug_mp (root1, 10);
fprintf (stderr, "nth: %lu\n", nth);
abort ();
}
}
mpz_clear (root2);
mpz_clear (rem2);
mpz_clear (temp);
mpz_clear (temp2);
}
int
main (int argc, char **argv)
{
mpz_t x2;
mpz_t root1;
mp_size_t x2_size;
int i;
int reps = 5000;
unsigned long nth;
gmp_randstate_ptr rands;
mpz_t bs;
unsigned long bsi, size_range;
tests_start ();
rands = RANDS;
mpz_init (bs);
if (argc == 2)
reps = atoi (argv[1]);
mpz_init (x2);
mpz_init (root1);
/* This triggers a gcc 4.3.2 bug */
mpz_set_str (x2, "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff80000000000000000000000000000000000000000000000000000000000000002", 16);
mpz_root (root1, x2, 2);
check_one (root1, x2, 2, -1);
for (i = 0; i < reps; i++)
{
mpz_urandomb (bs, rands, 32);
size_range = mpz_get_ui (bs) % 12 + 2;
mpz_urandomb (bs, rands, size_range);
x2_size = mpz_get_ui (bs) + 10;
mpz_rrandomb (x2, rands, x2_size);
mpz_urandomb (bs, rands, 15);
nth = mpz_getlimbn (bs, 0) % mpz_sizeinbase (x2, 2) + 2;
mpz_root (root1, x2, nth);
mpz_urandomb (bs, rands, 4);
bsi = mpz_get_ui (bs);
if ((bsi & 1) != 0)
{
/* With 50% probability, set x2 near a perfect power. */
mpz_pow_ui (x2, root1, nth);
if ((bsi & 2) != 0)
{
mpz_sub_ui (x2, x2, bsi >> 2);
mpz_abs (x2, x2);
}
else
mpz_add_ui (x2, x2, bsi >> 2);
mpz_root (root1, x2, nth);
}
check_one (root1, x2, nth, i);
}
mpz_clear (bs);
mpz_clear (x2);
mpz_clear (root1);
tests_end ();
exit (0);
}
void
debug_mp (mpz_t x, int base)
{
mpz_out_str (stderr, base, x); fputc ('\n', stderr);
}
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