Blame tests/mpz/t-mul.c

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/* Test mpz_cmp, mpz_mul.
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Copyright 1991, 1993, 1994, 1996, 1997, 2000-2004 Free Software Foundation,
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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 "longlong.h"
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#include "tests.h"
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void debug_mp (mpz_t);
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static void refmpz_mul (mpz_t, const mpz_t, const mpz_t);
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void dump_abort (int, const char *, mpz_t, mpz_t, mpz_t, mpz_t);
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#define FFT_MIN_BITSIZE 100000
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char *extra_fft;
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void
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one (int i, mpz_t multiplicand, mpz_t multiplier)
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{
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  mpz_t product, ref_product;
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  mpz_init (product);
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  mpz_init (ref_product);
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  /* Test plain multiplication comparing results against reference code.  */
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  mpz_mul (product, multiplier, multiplicand);
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  refmpz_mul (ref_product, multiplier, multiplicand);
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  if (mpz_cmp (product, ref_product))
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    dump_abort (i, "incorrect plain product",
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		multiplier, multiplicand, product, ref_product);
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  /* Test squaring, comparing results against plain multiplication  */
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  mpz_mul (product, multiplier, multiplier);
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  mpz_set (multiplicand, multiplier);
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  mpz_mul (ref_product, multiplier, multiplicand);
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  if (mpz_cmp (product, ref_product))
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    dump_abort (i, "incorrect square product",
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		multiplier, multiplier, product, ref_product);
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  mpz_clear (product);
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  mpz_clear (ref_product);
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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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  mpz_t op1, op2;
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  int i;
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  int fft_max_2exp;
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  gmp_randstate_ptr rands;
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  mpz_t bs;
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  unsigned long bsi, size_range, fsize_range;
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  tests_start ();
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  rands = RANDS;
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  extra_fft = getenv ("GMP_CHECK_FFT");
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  fft_max_2exp = 0;
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  if (extra_fft != NULL)
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    fft_max_2exp = atoi (extra_fft);
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  if (fft_max_2exp <= 1)	/* compat with old use of GMP_CHECK_FFT */
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    fft_max_2exp = 22;		/* default limit, good for any machine */
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  mpz_init (bs);
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  mpz_init (op1);
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  mpz_init (op2);
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  fsize_range = 4 << 8;		/* a fraction 1/256 of size_range */
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  for (i = 0;; i++)
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    {
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      size_range = fsize_range >> 8;
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      fsize_range = fsize_range * 33 / 32;
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      if (size_range > fft_max_2exp)
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	break;
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      mpz_urandomb (bs, rands, size_range);
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      mpz_rrandomb (op1, rands, mpz_get_ui (bs));
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      if (i & 1)
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	mpz_urandomb (bs, rands, size_range);
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      mpz_rrandomb (op2, rands, mpz_get_ui (bs));
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      mpz_urandomb (bs, rands, 4);
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      bsi = mpz_get_ui (bs);
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      if ((bsi & 0x3) == 0)
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	mpz_neg (op1, op1);
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      if ((bsi & 0xC) == 0)
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	mpz_neg (op2, op2);
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      /* printf ("%d %d\n", SIZ (op1), SIZ (op2)); */
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      one (i, op2, op1);
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    }
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  for (i = -50; i < 0; i++)
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    {
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      mpz_urandomb (bs, rands, 32);
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      size_range = mpz_get_ui (bs) % fft_max_2exp;
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      mpz_urandomb (bs, rands, size_range);
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      mpz_rrandomb (op1, rands, mpz_get_ui (bs) + FFT_MIN_BITSIZE);
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      mpz_urandomb (bs, rands, size_range);
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      mpz_rrandomb (op2, rands, mpz_get_ui (bs) + FFT_MIN_BITSIZE);
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      /* printf ("%d: %d %d\n", i, SIZ (op1), SIZ (op2)); */
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      fflush (stdout);
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      one (-1, op2, op1);
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    }
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  mpz_clear (bs);
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  mpz_clear (op1);
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  mpz_clear (op2);
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  tests_end ();
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  exit (0);
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}
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static void
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refmpz_mul (mpz_t w, const mpz_t u, const mpz_t v)
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{
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  mp_size_t usize = u->_mp_size;
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  mp_size_t vsize = v->_mp_size;
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  mp_size_t wsize;
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  mp_size_t sign_product;
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  mp_ptr up, vp;
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  mp_ptr wp;
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  mp_size_t talloc;
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  sign_product = usize ^ vsize;
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  usize = ABS (usize);
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  vsize = ABS (vsize);
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  if (usize == 0 || vsize == 0)
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    {
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      SIZ (w) = 0;
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      return;
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    }
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  talloc = usize + vsize;
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  up = u->_mp_d;
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  vp = v->_mp_d;
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  wp = __GMP_ALLOCATE_FUNC_LIMBS (talloc);
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  if (usize > vsize)
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    refmpn_mul (wp, up, usize, vp, vsize);
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  else
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    refmpn_mul (wp, vp, vsize, up, usize);
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  wsize = usize + vsize;
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  wsize -= wp[wsize - 1] == 0;
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  MPZ_REALLOC (w, wsize);
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  MPN_COPY (PTR(w), wp, wsize);
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  SIZ(w) = sign_product < 0 ? -wsize : wsize;
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  __GMP_FREE_FUNC_LIMBS (wp, talloc);
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}
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void
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dump_abort (int i, const char *s,
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            mpz_t op1, mpz_t op2, mpz_t product, mpz_t ref_product)
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{
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  mp_size_t b, e;
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  fprintf (stderr, "ERROR: %s in test %d\n", s, i);
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  fprintf (stderr, "op1          = "); debug_mp (op1);
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  fprintf (stderr, "op2          = "); debug_mp (op2);
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  fprintf (stderr, "    product  = "); debug_mp (product);
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  fprintf (stderr, "ref_product  = "); debug_mp (ref_product);
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  for (b = 0; b < ABSIZ(ref_product); b++)
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    if (PTR(ref_product)[b] != PTR(product)[b])
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      break;
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  for (e = ABSIZ(ref_product) - 1; e >= 0; e--)
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    if (PTR(ref_product)[e] != PTR(product)[e])
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      break;
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  printf ("ERRORS in %ld--%ld\n", b, e);
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  abort();
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}
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void
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debug_mp (mpz_t x)
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{
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  size_t siz = mpz_sizeinbase (x, 16);
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  if (siz > 65)
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    {
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      mpz_t q;
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      mpz_init (q);
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      mpz_tdiv_q_2exp (q, x, 4 * (mpz_sizeinbase (x, 16) - 25));
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      gmp_fprintf (stderr, "%ZX...", q);
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      mpz_tdiv_r_2exp (q, x, 4 * 25);
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      gmp_fprintf (stderr, "%025ZX [%d]\n", q, (int) siz);
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      mpz_clear (q);
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    }
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  else
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    {
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      gmp_fprintf (stderr, "%ZX\n", x);
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    }
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}