150 lines
3.7 KiB
C
150 lines
3.7 KiB
C
/* Test mpz_add, mpz_add_ui, mpz_cmp, mpz_cmp, mpz_mul, mpz_sqrtrem.
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Copyright 1991, 1993, 1994, 1996, 2000, 2001 Free Software Foundation, Inc.
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This file is part of the GNU MP Library.
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The GNU MP Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation; either version 2.1 of the License, or (at your
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option) any later version.
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The GNU MP Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with the GNU MP Library; see the file COPYING.LIB. If not, write to
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the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
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MA 02110-1301, USA. */
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#include <stdio.h>
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#include <stdlib.h>
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#include "gmp.h"
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#include "gmp-impl.h"
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#include "tests.h"
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void debug_mp _PROTO ((mpz_t, int));
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int
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main (int argc, char **argv)
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{
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mpz_t x2;
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mpz_t root1, root2, rem2;
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mpz_t temp, temp2;
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mp_size_t x2_size;
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int i;
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int reps = 1000;
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unsigned long nth;
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gmp_randstate_ptr rands;
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mpz_t bs;
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unsigned long bsi, size_range;
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tests_start ();
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rands = RANDS;
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mpz_init (bs);
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if (argc == 2)
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reps = atoi (argv[1]);
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mpz_init (x2);
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mpz_init (root1);
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mpz_init (root2);
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mpz_init (rem2);
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mpz_init (temp);
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mpz_init (temp2);
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for (i = 0; i < reps; i++)
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{
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mpz_urandomb (bs, rands, 32);
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size_range = mpz_get_ui (bs) % 12 + 2;
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mpz_urandomb (bs, rands, size_range);
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x2_size = mpz_get_ui (bs) + 10;
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mpz_rrandomb (x2, rands, x2_size);
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mpz_urandomb (bs, rands, 15);
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nth = mpz_getlimbn (bs, 0) % mpz_sizeinbase (x2, 2) + 2;
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mpz_root (root1, x2, nth);
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mpz_urandomb (bs, rands, 4);
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bsi = mpz_get_ui (bs);
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if ((bsi & 1) != 0)
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{
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/* With 50% probability, set x2 near a perfect power. */
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mpz_pow_ui (x2, root1, nth);
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if ((bsi & 2) != 0)
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{
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mpz_sub_ui (x2, x2, bsi >> 2);
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mpz_abs (x2, x2);
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}
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else
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mpz_add_ui (x2, x2, bsi >> 2);
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mpz_root (root1, x2, nth);
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}
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/* printf ("%ld %lu\n", SIZ (x2), nth); */
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mpz_rootrem (root2, rem2, x2, nth);
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mpz_pow_ui (temp, root1, nth);
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mpz_add (temp2, temp, rem2);
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/* Is power of result > argument? */
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if (mpz_cmp (root1, root2) != 0 || mpz_cmp (x2, temp2) != 0 || mpz_cmp (temp, x2) > 0)
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{
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fprintf (stderr, "ERROR after test %d\n", i);
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debug_mp (x2, 10);
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debug_mp (root1, 10);
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debug_mp (root2, 10);
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fprintf (stderr, "nth: %lu\n", nth);
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abort ();
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}
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if (nth > 1 && mpz_cmp_ui (temp, 1L) > 0 && ! mpz_perfect_power_p (temp))
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{
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fprintf (stderr, "ERROR in mpz_perfect_power_p after test %d\n", i);
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debug_mp (temp, 10);
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debug_mp (root1, 10);
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fprintf (stderr, "nth: %lu\n", nth);
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abort ();
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}
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if (nth > 10000)
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continue; /* skip too expensive test */
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mpz_add_ui (temp2, root1, 1L);
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mpz_pow_ui (temp2, temp2, nth);
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/* Is square of (result + 1) <= argument? */
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if (mpz_cmp (temp2, x2) <= 0)
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{
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fprintf (stderr, "ERROR after test %d\n", i);
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debug_mp (x2, 10);
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debug_mp (root1, 10);
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fprintf (stderr, "nth: %lu\n", nth);
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abort ();
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}
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}
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mpz_clear (bs);
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mpz_clear (x2);
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mpz_clear (root1);
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mpz_clear (root2);
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mpz_clear (rem2);
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mpz_clear (temp);
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mpz_clear (temp2);
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tests_end ();
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exit (0);
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}
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void
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debug_mp (mpz_t x, int base)
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{
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mpz_out_str (stderr, base, x); fputc ('\n', stderr);
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}
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