mpir/tests/mpz/t-lcm.c

/* Test mpz_lcm and mpz_lcm_ui.

Copyright 2001 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 "gmp.h"
#include "gmp-impl.h"
#include "tests.h"


void
check_all (mpz_ptr want, mpz_srcptr x_orig, mpz_srcptr y_orig)
{
  mpz_t  got, x, y;
  int    negx, negy, swap, inplace;

  mpz_init (got);
  mpz_init_set (x, x_orig);
  mpz_init_set (y, y_orig);

  for (swap = 0; swap < 2; swap++)
    {
      mpz_swap (x, y);

      for (negx = 0; negx < 2; negx++)
        {
          mpz_neg (x, x);

          for (negy = 0; negy < 2; negy++)
            {
              mpz_neg (y, y);

              for (inplace = 0; inplace <= 1; inplace++)
                {
                  if (inplace)
                    { mpz_set (got, x); mpz_lcm (got, got, y); }
                  else
                    mpz_lcm (got, x, y);
                  MPZ_CHECK_FORMAT (got);

                  if (mpz_cmp (got, want) != 0)
                    {
                      printf ("mpz_lcm wrong, inplace=%d\n", inplace);
                    fail:
                      mpz_trace ("x", x);
                      mpz_trace ("y", y);
                      mpz_trace ("got", got);
                      mpz_trace ("want", want);
                      abort ();
                    }

                  if (mpz_fits_ulong_p (y))
                    {
                      unsigned long  yu = mpz_get_ui (y);
                      if (inplace)
                        { mpz_set (got, x); mpz_lcm_ui (got, got, yu); }
                      else
                        mpz_lcm_ui (got, x, yu);
          
                      if (mpz_cmp (got, want) != 0)
                        {
                          printf ("mpz_lcm_ui wrong, inplace=%d\n", inplace);
                          printf    ("yu=%lu\n", yu);
                          goto fail;
                        }
                    }
                }
            }
        }
    }

  mpz_clear (got);  
  mpz_clear (x);
  mpz_clear (y);
}


void
check_primes (void)
{
  static unsigned long  prime[] = {
    2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,
    101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,
    191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,
    281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,
    389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,
  };
  mpz_t  want, x, y;
  int    i;

  mpz_init (want);
  mpz_init (x);
  mpz_init (y);

  /* New prime each time. */
  mpz_set_ui (want, 1L);
  for (i = 0; i < numberof (prime); i++)
    {
      mpz_set (x, want);
      mpz_set_ui (y, prime[i]);
      mpz_mul_ui (want, want, prime[i]);
      check_all (want, x, y);
    }

  /* Old prime each time. */
  mpz_set (x, want);
  for (i = 0; i < numberof (prime); i++)
    {
      mpz_set_ui (y, prime[i]);
      check_all (want, x, y);
    }

  /* One old, one new each time. */
  mpz_set_ui (want, prime[0]);
  for (i = 1; i < numberof (prime); i++)
    {
      mpz_set (x, want);
      mpz_set_ui (y, prime[i] * prime[i-1]);
      mpz_mul_ui (want, want, prime[i]);
      check_all (want, x, y);
    }

  /* Triplets with A,B in x and B,C in y. */
  mpz_set_ui (want, 1L);
  mpz_set_ui (x, 1L);
  mpz_set_ui (y, 1L);
  for (i = 0; i+2 < numberof (prime); i += 3)
    {
      mpz_mul_ui (want, want, prime[i]);
      mpz_mul_ui (want, want, prime[i+1]);
      mpz_mul_ui (want, want, prime[i+2]);

      mpz_mul_ui (x, x, prime[i]);
      mpz_mul_ui (x, x, prime[i+1]);

      mpz_mul_ui (y, y, prime[i+1]);
      mpz_mul_ui (y, y, prime[i+2]);

      check_all (want, x, y);
    }


  mpz_clear (want);
  mpz_clear (x);
  mpz_clear (y);
}



int
main (int argc, char *argv[])
{
  tests_start ();

  check_primes ();

  tests_end ();
  exit (0);
}