mpir/tests/mpz/t-bin.c

/* Exercise mpz_bin_ui and mpz_bin_uiui.

Copyright 2000, 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 "gmp.h"
#include "gmp-impl.h"
#include "tests.h"


void
try_mpz_bin_ui (mpz_srcptr want, mpz_srcptr n, unsigned long k)
{
  mpz_t  got;

  mpz_init (got);
  mpz_bin_ui (got, n, k);
  MPZ_CHECK_FORMAT (got);
  if (mpz_cmp (got, want) != 0)
    {
      printf ("mpz_bin_ui wrong\n");
      printf ("  n="); mpz_out_str (stdout, 10, n); printf ("\n");
      printf ("  k=%lu\n", k);
      printf ("  got="); mpz_out_str (stdout, 10, got); printf ("\n");
      printf ("  want="); mpz_out_str (stdout, 10, want); printf ("\n");
      abort();                                    
    }
  mpz_clear (got);
}


void
try_mpz_bin_uiui (mpz_srcptr want, unsigned long n, unsigned long k)
{
  mpz_t  got;

  mpz_init (got);
  mpz_bin_uiui (got, n, k);
  MPZ_CHECK_FORMAT (got);
  if (mpz_cmp (got, want) != 0)
    {
      printf ("mpz_bin_uiui wrong\n");
      printf ("  n=%lu\n", n);
      printf ("  k=%lu\n", k);
      printf ("  got="); mpz_out_str (stdout, 10, got); printf ("\n");
      printf ("  want="); mpz_out_str (stdout, 10, want); printf ("\n");
      abort();                                    
    }
  mpz_clear (got);
}


void
samples (void)
{
  static const struct {
    const char     *n;
    unsigned long  k;
    const char     *want;
  } data[] = {

    {   "0",  0, "1"   },
    {   "0",  1, "0"   },
    {   "0",  2, "0"   },
    {   "0",  3, "0"   },
    {   "0",  4, "0"   },
    {   "0", 123456, "0" },

    {   "1",  0, "1"   },
    {   "1",  1, "1"   },
    {   "1",  2, "0"   },
    {   "1",  3, "0"   },
    {   "1",  4, "0"   },
    {   "1", 123456, "0" },

    {   "2",  0, "1"   },
    {   "2",  1, "2"   },
    {   "2",  2, "1"   },
    {   "2",  3, "0"   },
    {   "2",  4, "0"   },
    {   "2", 123456, "0" },

    {   "3",  0, "1"   },
    {   "3",  1, "3"   },
    {   "3",  2, "3"   },
    {   "3",  3, "1"   },
    {   "3",  4, "0"   },
    {   "3",  5, "0"   },
    {   "3", 123456, "0" },

    {   "4",  0, "1"   },
    {   "4",  1, "4"   },
    {   "4",  2, "6"   },
    {   "4",  3, "4"   },
    {   "4",  4, "1"   },
    {   "4",  5, "0"   },
    {   "4",  6, "0"   },
    {   "4", 123456, "0" },

    {   "10",  0, "1"   },
    {   "10",  1, "10"  },
    {   "10",  2, "45"  },
    {   "10",  3, "120" },
    {   "10",  4, "210" },
    {   "10",  5, "252" },
    {   "10",  6, "210" },
    {   "10",  7, "120" },
    {   "10",  8, "45"  },
    {   "10",  9, "10"  },
    {   "10", 10, "1"   },
    {   "10", 11,     "0" },
    {   "10", 12,     "0" },
    {   "10", 123456, "0" },

    /* negatives, using bin(-n,k)=bin(n+k-1,k) */
    {   "-1",  0,  "1"  },
    {   "-1",  1, "-1"  },
    {   "-1",  2,  "1"  },
    {   "-1",  3, "-1"  },
    {   "-1",  4,  "1"  },

    {   "-2",  0,  "1"  },
    {   "-2",  1, "-2"  },
    {   "-2",  2,  "3"  },
    {   "-2",  3, "-4"  },
    {   "-2",  4,  "5"  },
    {   "-2",  5, "-6"  },
    {   "-2",  6,  "7"  },

    {   "-3",  0,   "1"  },
    {   "-3",  1,  "-3"  },
    {   "-3",  2,   "6"  },
    {   "-3",  3, "-10"  },
    {   "-3",  4,  "15"  },
    {   "-3",  5, "-21"  },
    {   "-3",  6,  "28"  },

    {   "40", 20,  "137846528820" },
    {   "60", 30,  "118264581564861424" },
  };

  mpz_t  n, want;
  int    i;

  mpz_init (n);
  mpz_init (want);

  for (i = 0; i < numberof (data); i++)
    {
      mpz_set_str_or_abort (n, data[i].n, 0);
      mpz_set_str_or_abort (want, data[i].want, 0);

      try_mpz_bin_ui (want, n, data[i].k);

      if (mpz_fits_ulong_p (n))
        try_mpz_bin_uiui (want, mpz_get_ui (n), data[i].k);
    }

  mpz_clear (n);
  mpz_clear (want);
}


/* Test some bin(2k,k) cases.  This produces some biggish numbers to
   exercise the limb accumulating code.  */
void
twos (void)
{
  mpz_t          n, want;
  unsigned long  k;

  mpz_init (n);
  mpz_init (want);

  mpz_set_ui (want, (unsigned long) 2);
  for (k = 1; k < 200; k++)
    {
      mpz_set_ui (n, 2*k);
      try_mpz_bin_ui (want, n, k);

      try_mpz_bin_uiui (want, 2*k, k);

      mpz_mul_ui (want, want, 2*(2*k+1));
      mpz_fdiv_q_ui (want, want, k+1);
    }

  mpz_clear (n);
  mpz_clear (want);
}


int
main (void)
{
  tests_start ();

  samples ();
  twos ();

  tests_end ();
  exit (0);
}