Blame tests/mpz/t-cong_2exp.c

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/* test mpz_congruent_2exp_p */
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/*
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Copyright 2001, 2013 Free Software Foundation, Inc.
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This file is part of the GNU MP Library test suite.
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The GNU MP Library test suite is free software; you can redistribute it
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and/or modify it under the terms of the GNU General Public License as
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published by the Free Software Foundation; either version 3 of the License,
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or (at your option) any later version.
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The GNU MP Library test suite is distributed in the hope that it will be
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useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General
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Public License for more details.
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You should have received a copy of the GNU General Public License along with
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the GNU MP Library test suite.  If not, see https://www.gnu.org/licenses/.  */
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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
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check_one (mpz_srcptr a, mpz_srcptr c, unsigned long d, int want)
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{
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  mpz_t  diff, d2exp;
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  int    got;
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  int    swap;
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  for (swap = 0; swap <= 1; swap++)
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    {
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      got = (mpz_congruent_2exp_p (a, c, d) != 0);
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      if (want != got)
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        {
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          mpz_init (diff);
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          mpz_init (d2exp);
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          mpz_sub (diff, a, c);
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          mpz_set_ui (d2exp, 1L);
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          mpz_mul_2exp (d2exp, d2exp, d);
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          printf ("mpz_congruent_2exp_p wrong\n");
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          printf ("   expected %d got %d\n", want, got);
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          mpz_trace ("   a", a);
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          mpz_trace ("   c", c);
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          mpz_trace (" a-c", diff);
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          mpz_trace (" 2^d", d2exp);
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          printf    ("   d=%lu\n", d);
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          mp_trace_base = -16;
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          mpz_trace ("   a", a);
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          mpz_trace ("   c", c);
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          mpz_trace (" a-c", diff);
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          mpz_trace (" 2^d", d2exp);
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          printf    ("   d=0x%lX\n", d);
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          abort ();
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        }
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      MPZ_SRCPTR_SWAP (a, c);
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    }
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}
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void
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check_data (void)
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{
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  static const struct {
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    const char     *a;
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    const char     *c;
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    unsigned long  d;
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    int            want;
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  } data[] = {
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    /* anything is congruent mod 1 */
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    { "0", "0", 0, 1 },
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    { "1", "0", 0, 1 },
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    { "0", "1", 0, 1 },
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    { "123", "-456", 0, 1 },
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    { "0x123456789123456789", "0x987654321987654321", 0, 1 },
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    { "0xfffffffffffffffffffffffffffffff7", "-0x9", 129, 0 },
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    { "0xfffffffffffffffffffffffffffffff6", "-0xa", 128, 1 },
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  };
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  mpz_t   a, c;
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  int     i;
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  mpz_init (a);
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  mpz_init (c);
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  for (i = 0; i < numberof (data); i++)
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    {
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      mpz_set_str_or_abort (a, data[i].a, 0);
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      mpz_set_str_or_abort (c, data[i].c, 0);
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      check_one (a, c, data[i].d, data[i].want);
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    }
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  mpz_clear (a);
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  mpz_clear (c);
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}
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void
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check_random (int reps)
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{
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  gmp_randstate_ptr rands = RANDS;
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  unsigned long  d;
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  mpz_t  a, c, ra, rc;
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  int    i;
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  mpz_init (a);
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  mpz_init (c);
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  mpz_init (ra);
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  mpz_init (rc);
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  for (i = 0; i < reps; i++)
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    {
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      mpz_errandomb (a, rands, 8*GMP_LIMB_BITS);
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      mpz_errandomb (c, rands, 8*GMP_LIMB_BITS);
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      d = urandom() % (8*GMP_LIMB_BITS);
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      mpz_mul_2exp (a, a, urandom() % (2*GMP_LIMB_BITS));
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      mpz_mul_2exp (c, c, urandom() % (2*GMP_LIMB_BITS));
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      mpz_negrandom (a, rands);
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      mpz_negrandom (c, rands);
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      mpz_fdiv_r_2exp (ra, a, d);
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      mpz_fdiv_r_2exp (rc, c, d);
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      mpz_sub (ra, ra, rc);
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      if (mpz_cmp_ui (ra, 0) != 0)
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	{
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	  check_one (a, c, d, 0);
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	  mpz_sub (a, a, ra);
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	}
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      check_one (a, c, d, 1);
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      if (d != 0)
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	{
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	  mpz_combit (a, urandom() % d);
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	  check_one (a, c, d, 0);
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	}
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    }
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  mpz_clear (a);
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  mpz_clear (c);
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  mpz_clear (ra);
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  mpz_clear (rc);
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}
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void
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check_random_bits (int reps)
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{
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  mp_bitcnt_t ea, ec, en, d;
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  mp_bitcnt_t m = 10 * GMP_LIMB_BITS;
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  mpz_t  a, c;
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  int    i;
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  mpz_init2 (a, m + 1);
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  mpz_init2 (c, m);
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  for (i = 0; i < reps; i++)
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    {
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      d  = urandom() % m;
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      ea = urandom() % m;
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      ec = urandom() % m;
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      en = urandom() % m;
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      mpz_set_ui (c, 0);
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      mpz_setbit (c, en);
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      mpz_set_ui (a, 0);
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      mpz_setbit (a, ec);
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      mpz_sub (c , a, c);
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      mpz_set_ui (a, 0);
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      mpz_setbit (a, ea);
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      mpz_add (a , a, c);
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      check_one (a, c, d, ea >= d);
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    }
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  mpz_clear (a);
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  mpz_clear (c);
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}
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int
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main (int argc, char *argv[])
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{
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  int    reps = 5000;
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  tests_start ();
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  TESTS_REPS (reps, argv, argc);
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  check_data ();
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  check_random (reps);
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  check_random_bits (reps);
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  tests_end ();
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  exit (0);
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}