mpir/tests/mpz/t-aorsmul.c

/* Test mpz_addmul, mpz_addmul_ui, mpz_submul, mpz_submul_ui.

Copyright 2001, 2002 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 2.1 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; see the file COPYING.LIB.  If not, write to
the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */


#include <stdio.h>
#include <stdlib.h>
#include <string.h>

#include "mpir.h"
#include "gmp-impl.h"
#include "tests.h"


#define M GMP_NUMB_MAX


void
check_one_inplace (mpz_srcptr w, mpz_srcptr y)
{
  mpz_t  want, got;

  mpz_init (want);
  mpz_init (got);

  mpz_mul (want, w, y);
  mpz_add (want, w, want);
  mpz_set (got, w);
  mpz_addmul (got, got, y);
  MPZ_CHECK_FORMAT (got);
  if (mpz_cmp (want, got) != 0)
    {
      printf ("mpz_addmul inplace fail\n");
    fail:
      mpz_trace ("w", w);
      mpz_trace ("y", y);
      mpz_trace ("want", want);
      mpz_trace ("got ", got);
      abort ();
    }

  mpz_mul (want, w, y);
  mpz_sub (want, w, want);
  mpz_set (got, w);
  mpz_submul (got, got, y);
  MPZ_CHECK_FORMAT (got);
  if (mpz_cmp (want, got) != 0)
    {
      printf ("mpz_submul inplace fail\n");
      goto fail;
    }

  mpz_clear (want);
  mpz_clear (got);
}

void
check_one_ui_inplace (mpz_ptr w, unsigned long y)
{
  mpz_t  want, got;

  mpz_init (want);
  mpz_init (got);

  mpz_mul_ui (want, w, (unsigned long) y);
  mpz_add (want, w, want);
  mpz_set (got, w);
  mpz_addmul_ui (got, got, (unsigned long) y);
  MPZ_CHECK_FORMAT (got);
  if (mpz_cmp (want, got) != 0)
    {
      printf ("mpz_addmul_ui fail\n");
    fail:
      mpz_trace ("w", w);
      printf    ("y=0x%lX   %lu\n", y, y);
      mpz_trace ("want", want);
      mpz_trace ("got ", got);
      abort ();
    }

  mpz_mul_ui (want, w, y);
  mpz_sub (want, w, want);
  mpz_set (got, w);
  mpz_submul_ui (got, got, y);
  MPZ_CHECK_FORMAT (got);
  if (mpz_cmp (want, got) != 0)
    {
      printf ("mpz_submul_ui fail\n");
      goto fail;
    }

  mpz_clear (want);
  mpz_clear (got);
}

void
check_all_inplace (mpz_ptr w, mpz_ptr y)
{
  int  wneg, yneg;

  MPZ_CHECK_FORMAT (w);
  MPZ_CHECK_FORMAT (y);

  for (wneg = 0; wneg < 2; wneg++)
    {
      for (yneg = 0; yneg < 2; yneg++)
        {
          check_one_inplace (w, y);

          if (mpz_fits_ulong_p (y))
            check_one_ui_inplace (w, mpz_get_ui (y));

          mpz_neg (y, y);
        }
      mpz_neg (w, w);
    }
}

void
check_one (mpz_srcptr w, mpz_srcptr x, mpz_srcptr y)
{
  mpz_t  want, got;

  mpz_init (want);
  mpz_init (got);

  mpz_mul (want, x, y);
  mpz_add (want, w, want);
  mpz_set (got, w);
  mpz_addmul (got, x, y);
  MPZ_CHECK_FORMAT (got);
  if (mpz_cmp (want, got) != 0)
    {
      printf ("mpz_addmul fail\n");
    fail:
      mpz_trace ("w", w);
      mpz_trace ("x", x);
      mpz_trace ("y", y);
      mpz_trace ("want", want);
      mpz_trace ("got ", got);
      abort ();
    }

  mpz_mul (want, x, y);
  mpz_sub (want, w, want);
  mpz_set (got, w);
  mpz_submul (got, x, y);
  MPZ_CHECK_FORMAT (got);
  if (mpz_cmp (want, got) != 0)
    {
      printf ("mpz_submul fail\n");
      goto fail;
    }

  mpz_clear (want);
  mpz_clear (got);
}

void
check_one_ui (mpz_ptr w, mpz_ptr x, unsigned long y)
{
  mpz_t  want, got;

  mpz_init (want);
  mpz_init (got);

  mpz_mul_ui (want, x, (unsigned long) y);
  mpz_add (want, w, want);
  mpz_set (got, w);
  mpz_addmul_ui (got, x, (unsigned long) y);
  MPZ_CHECK_FORMAT (got);
  if (mpz_cmp (want, got) != 0)
    {
      printf ("mpz_addmul_ui fail\n");
    fail:
      mpz_trace ("w", w);
      mpz_trace ("x", x);
      printf    ("y=0x%lX   %lu\n", y, y);
      mpz_trace ("want", want);
      mpz_trace ("got ", got);
      abort ();
    }

  mpz_mul_ui (want, x, y);
  mpz_sub (want, w, want);
  mpz_set (got, w);
  mpz_submul_ui (got, x, y);
  MPZ_CHECK_FORMAT (got);
  if (mpz_cmp (want, got) != 0)
    {
      printf ("mpz_submul_ui fail\n");
      goto fail;
    }

  mpz_clear (want);
  mpz_clear (got);
}


void
check_all (mpz_ptr w, mpz_ptr x, mpz_ptr y)
{
  int    swap, wneg, xneg, yneg;

  MPZ_CHECK_FORMAT (w);
  MPZ_CHECK_FORMAT (x);
  MPZ_CHECK_FORMAT (y);

  for (swap = 0; swap < 2; swap++)
    {
      for (wneg = 0; wneg < 2; wneg++)
        {
          for (xneg = 0; xneg < 2; xneg++)
            {
              for (yneg = 0; yneg < 2; yneg++)
                {
                  check_one (w, x, y);

                  if (mpz_fits_ulong_p (y))
                    check_one_ui (w, x, mpz_get_ui (y));

                  mpz_neg (y, y);
                }
              mpz_neg (x, x);
            }
          mpz_neg (w, w);
        }
      mpz_swap (x, y);
    }
}

void
check_data_inplace_ui (void)
{
  static const struct {
    mp_limb_t      w[6];
    unsigned long  y;

  } data[] = {

    { { 0 }, 0 },
    { { 0 }, 1 },
    { { 1 }, 1 },
    { { 2 }, 1 },

    { { 123 }, 1 },
    { { 123 }, ULONG_MAX },
    { { M }, 1 },
    { { M }, ULONG_MAX },

    { { 123, 456 }, 1 },
    { { M, M }, 1 },
    { { 123, 456 }, ULONG_MAX },
    { { M, M }, ULONG_MAX },

    { { 123, 456, 789 }, 1 },
    { { M, M, M }, 1 },
    { { 123, 456, 789 }, ULONG_MAX },
    { { M, M, M }, ULONG_MAX },
  };

  mpz_t  w, y;
  int    i;

  mpz_init (w);
  mpz_init (y);

  for (i = 0; i < numberof (data); i++)
    {
      mpz_set_n (w, data[i].w, (mp_size_t) numberof(data[i].w));
      mpz_set_ui (y, data[i].y);
      check_all_inplace (w, y);
    }

  mpz_clear (w);
  mpz_clear (y);
}

void
check_data (void)
{
  static const struct {
    mp_limb_t  w[6];
    mp_limb_t  x[6];
    mp_limb_t  y[6];

  } data[] = {

    /* reducing to zero */
    { { 1 }, { 1 }, { 1 } },
    { { 2 }, { 1 }, { 2 } },
    { { 0,1 }, { 0,1 }, { 1 } },

    /* reducing to 1 */
    { { 0,1 },       { M },       { 1 } },
    { { 0,0,1 },     { M,M },     { 1 } },
    { { 0,0,0,1 },   { M,M,M },   { 1 } },
    { { 0,0,0,0,1 }, { M,M,M,M }, { 1 } },

    /* reducing to -1 */
    { { M },       { 0,1 },       { 1 } },
    { { M,M },     { 0,0,1 },     { 1 } },
    { { M,M,M },   { 0,0,0,1 },   { 1 } },
    { { M,M,M,M }, { 0,0,0,0,1 }, { 1 } },

    /* carry out of addmul */
    { { M },     { 1 }, { 1 } },
    { { M,M },   { 1 }, { 1 } },
    { { M,M,M }, { 1 }, { 1 } },

    /* borrow from submul */
    { { 0,1 },     { 1 }, { 1 } },
    { { 0,0,1 },   { 1 }, { 1 } },
    { { 0,0,0,1 }, { 1 }, { 1 } },

    /* borrow from submul */
    { { 0,0,1 },     { 0,1 }, { 1 } },
    { { 0,0,0,1 },   { 0,1 }, { 1 } },
    { { 0,0,0,0,1 }, { 0,1 }, { 1 } },

    /* more borrow from submul */
    { { M }, { 0,1 },       { 1 } },
    { { M }, { 0,0,1 },     { 1 } },
    { { M }, { 0,0,0,1 },   { 1 } },
    { { M }, { 0,0,0,0,1 }, { 1 } },

    /* big borrow from submul */
    { { 0,0,1 },     { M,M }, { M } },
    { { 0,0,0,1 },   { M,M }, { M } },
    { { 0,0,0,0,1 }, { M,M }, { M } },

    /* small w */
    { { 0,1 }, { M,M },       { M } },
    { { 0,1 }, { M,M,M },     { M } },
    { { 0,1 }, { M,M,M,M },   { M } },
    { { 0,1 }, { M,M,M,M,M }, { M } },
  };

  mpz_t  w, x, y;
  int    i;

  mpz_init (w);
  mpz_init (x);
  mpz_init (y);

  for (i = 0; i < numberof (data); i++)
    {
      mpz_set_n (w, data[i].w, (mp_size_t) numberof(data[i].w));
      mpz_set_n (x, data[i].x, (mp_size_t) numberof(data[i].x));
      mpz_set_n (y, data[i].y, (mp_size_t) numberof(data[i].y));
      check_all (w, x, y);
    }

  mpz_clear (w);
  mpz_clear (x);
  mpz_clear (y);
}


void
check_random (int argc, char *argv[])
{
  gmp_randstate_t rands;
  mpz_t  w, x, y;
  int    i, reps = 2000;

  gmp_randinit_default(rands);
  mpz_init (w);
  mpz_init (x);
  mpz_init (y);

  if (argc == 2)
    reps = atoi (argv[1]);

  for (i = 0; i < reps; i++)
    {
      mpz_errandomb (w, rands, 5*BITS_PER_MP_LIMB);
      mpz_errandomb (x, rands, 5*BITS_PER_MP_LIMB);
      mpz_errandomb (y, rands, 5*BITS_PER_MP_LIMB);
      check_all (w, x, y);
      check_all_inplace (w, y);

      mpz_errandomb (w, rands, 5*BITS_PER_MP_LIMB);
      mpz_errandomb (x, rands, 5*BITS_PER_MP_LIMB);
      mpz_errandomb (y, rands, BITS_PER_ULONG);
      check_all (w, x, y);
      check_all_inplace (w, y);
    }

  mpz_clear (w);
  mpz_clear (x);
  mpz_clear (y);
  gmp_randclear(rands);
}


int
main (int argc, char *argv[])
{
  tests_start ();
  mp_trace_base = -16;

  check_data ();
  check_data_inplace_ui ();
  check_random (argc, argv);

  tests_end ();
  exit (0);
}