gcc/mpfr/tests/tmul_ui.c

/* Test file for mpfr_mul_ui.

Copyright 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
Contributed by the Arenaire and Cacao projects, INRIA.

This file is part of the GNU MPFR Library.

The GNU MPFR 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 MPFR 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 MPFR Library; see the file COPYING.LIB.  If not, write to
the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
MA 02110-1301, USA. */

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

#include "mpfr-test.h"

static void
check_inexact (mp_prec_t p)
{
  mpfr_t x, y, z;
  unsigned long u;
  mp_prec_t q;
  int inexact, cmp;
  int rnd;

  mpfr_init2 (x, p);
  mpfr_init (y);
  mpfr_init2 (z, p + mp_bits_per_limb);
  mpfr_urandomb (x, RANDS);
  u = randlimb ();
  if (mpfr_mul_ui (z, x, u, GMP_RNDN))
    {
      printf ("Error: result should be exact\n");
      exit (1);
    }

  for (q = 2; q <= p; q++)
    for (rnd = 0; rnd < GMP_RND_MAX; rnd++)
      {
        mpfr_set_prec (y, q);
        inexact = mpfr_mul_ui (y, x, u, (mp_rnd_t) rnd);
        cmp = mpfr_cmp (y, z);
        if (((inexact == 0) && (cmp != 0)) ||
            ((inexact < 0) && (cmp >= 0)) ||
            ((inexact > 0) && (cmp <= 0)))
          {
            printf ("Wrong inexact flag for p=%u, q=%u, rnd=%s\n",
                    (unsigned int) p, (unsigned int) q,
                    mpfr_print_rnd_mode ((mp_rnd_t) rnd));
            exit (1);
          }
      }

  mpfr_set_prec (x, 2);
  mpfr_set_ui (x, 1, GMP_RNDN);
  if (mpfr_mul_ui (x, x, 5, GMP_RNDZ) == 0)
    {
      printf ("mul_ui(1, 5) cannot be exact with prec=2\n");
      exit (1);
    }

  mpfr_clear (x);
  mpfr_clear (y);
  mpfr_clear (z);
}

#define TEST_FUNCTION mpfr_mul_ui
#define INTEGER_TYPE  unsigned long
#define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), 1)
#include "tgeneric_ui.c"

int
main (int argc, char *argv[])
{
  mpfr_t x, y;
  unsigned int xprec, yprec, i;
  mp_prec_t p;
  mp_exp_t emax;

  tests_start_mpfr ();

  for (p=2; p<100; p++)
    for (i=1; i<50; i++)
      check_inexact (p);

  mpfr_init2 (x, 53);
  mpfr_init2 (y, 53);

  /* checks that result is normalized */
  mpfr_set_str (y, "6.93147180559945286227e-01", 10, GMP_RNDZ);
  mpfr_mul_ui (x, y, 1, GMP_RNDZ);
  if (MPFR_MANT(x)[MPFR_PREC(x)/mp_bits_per_limb] >> (mp_bits_per_limb-1) == 0)
    {
      printf ("Error in mpfr_mul_ui: result not normalized\n");
      exit (1);
    }
  if (mpfr_cmp (x, y))
    {
      printf ("Error in mpfr_mul_ui: 1*y != y\n");
      printf ("y=  "); mpfr_print_binary (y); puts ("");
      printf ("1*y="); mpfr_print_binary (x); puts ("");
      exit (1);
    }

  mpfr_set_inf (x, 1);
  mpfr_mul_ui (x, x, 3, GMP_RNDU);
  if (!mpfr_inf_p (x) || (mpfr_sgn (x) <= 0))
    {
      printf ("Error in mpfr_mul_ui: +Inf*3 does not give +Inf\n");
      exit (1);
    }

  mpfr_set_inf (x, -1);
  mpfr_mul_ui (x, x, 3, GMP_RNDU);
  if (!mpfr_inf_p (x) || (mpfr_sgn (x) >= 0))
    {
      printf ("Error in mpfr_mul_ui: -Inf*3 does not give -Inf\n");
      exit (1);
    }

  mpfr_set_nan (x);
  mpfr_mul_ui (x, x, 3, GMP_RNDU);
  if (!mpfr_nan_p(x))
    {
      printf ("Error in mpfr_mul_ui: NaN*3 does not give NaN\n");
      exit (1);
    }

  mpfr_set_inf (x, 1);
  mpfr_mul_ui (x, x, 0, GMP_RNDU);
  MPFR_ASSERTN(mpfr_nan_p (x));

  mpfr_set_ui (x, 1, GMP_RNDU);
  mpfr_mul_ui (x, x, 0, GMP_RNDU);
  MPFR_ASSERTN(mpfr_cmp_ui (x, 0) == 0 && MPFR_IS_POS(x));

  emax = mpfr_get_emax ();
  set_emax (0);
  mpfr_set_str_binary (x, "0.1E0");
  mpfr_mul_ui (x, x, 2, GMP_RNDN);
  MPFR_ASSERTN(mpfr_inf_p (x) && MPFR_IS_POS(x));
  set_emax (emax);

  mpfr_set_str (x, /*1.0/3.0*/
                "0.333333333333333333333333333333333", 10, GMP_RNDZ);
  mpfr_mul_ui (x, x, 3, GMP_RNDU);
  if (mpfr_cmp_ui (x, 1))
    {
      printf ("Error in mpfr_mul_ui: U(Z(1/3)*3) does not give 1\n");
      exit (1);
    }

  /* checks sign is correct */
  mpfr_set_si (x, -2, GMP_RNDZ);
  mpfr_set_si (y, 3, GMP_RNDZ);
  mpfr_mul_ui(x, y, 4, GMP_RNDZ);
  if (mpfr_cmp_ui(x, 0) <= 0)
    {
      printf("Error in mpfr_mul_ui: 4*3.0 does not give a positive result:\n");
      mpfr_print_binary(x); puts ("");
      printf("mpfr_cmp_ui(x, 0) = %d\n", mpfr_cmp_ui(x, 0));
      exit(1);
    }

  mpfr_set_prec (x, 9);
  mpfr_set_prec (y, 9);
  mpfr_set_str_binary (y, "0.100001111E9"); /* 271 */
  mpfr_mul_ui (x, y, 1335, GMP_RNDN);
  mpfr_set_str_binary (y, "0.101100001E19"); /* 361472 */
  if (mpfr_cmp (x, y))
    {
      printf ("Error in mul_ui for 1335*(0.100001111E9)\n");
      printf ("got "); mpfr_print_binary (x); puts ("");
      exit(1);
    }

  mpfr_set_prec(y, 100);
  mpfr_set_prec(x, 100);
  /* y = 1199781142214086656 */
  mpfr_set_str_binary(y, "0.1000010100110011110101001011110010101111000100001E61");
  mpfr_mul_ui(x, y, 121, GMP_RNDD);
  /* 121*y = 145173518207904485376, representable exactly */
  mpfr_set_str_binary(y, "0.1111101111010101111111100011010010111010111110110011001E67");
  if (mpfr_cmp(x, y))
    {
      printf("Error for 121*y: expected result is:\n");
      mpfr_print_binary(y); puts ("");
    }

  mpfr_set_prec (x, 32);
  mpfr_set_str_binary (x, "0.10000000000000000000000000000000E1");
  mpfr_set_prec (y, 93);
  mpfr_mul_ui (y, x, 1, GMP_RNDN);

  mpfr_set_prec (x, 287);
  mpfr_set_str_binary (x, "0.1111E7");
  mpfr_set_prec (y, 289);
  mpfr_mul_ui (y, x, 6, GMP_RNDN);
  mpfr_set_str_binary (x, "0.101101E10");
  if (mpfr_cmp (x, y))
    {
      printf ("Error for 6 * 120\n");
      exit (1);
    }

  mpfr_set_prec (x, 68);
  mpfr_set_prec (y, 64);
  mpfr_set_str (x, "2143861251406875.0", 10, GMP_RNDN);
  mpfr_mul_ui (y, x, 23, GMP_RNDN);
  mpfr_set_str_binary (x, "10101111001011100001100110101111110001010010011001101101.0");
  if (mpfr_cmp (x, y))
    {
      printf ("Error for 23 * 2143861251406875.0\n");
      printf ("expected "); mpfr_print_binary (x); puts ("");
      printf ("got      "); mpfr_print_binary (y); puts ("");
      exit (1);
    }


  for (xprec = 53; xprec <= 128; xprec++)
    {
      mpfr_set_prec (x, xprec);
      mpfr_set_str_binary (x, "0.1100100100001111110011111000000011011100001100110111E2");
      for (yprec = 53; yprec <= 128; yprec++)
        {
          mpfr_set_prec (y, yprec);
          mpfr_mul_ui (y, x, 1, GMP_RNDN);
          if (mpfr_cmp(x,y))
            {
              printf ("multiplication by 1.0 fails for xprec=%u, yprec=%u\n",
                      xprec, yprec);
              printf ("expected "); mpfr_print_binary (x); puts ("");
              printf ("got      "); mpfr_print_binary (y); puts ("");
              exit (1);
            }
        }
    }

  mpfr_set_prec (x, 128);
  mpfr_set_ui (x, 17, GMP_RNDN);
  mpfr_mul_ui (x, x, ULONG_HIGHBIT, GMP_RNDN);
  mpfr_set_prec (y, 128);
  mpfr_set_ui (y, ULONG_HIGHBIT, GMP_RNDN);
  mpfr_mul_ui (y, y, 17, GMP_RNDN);
  if (mpfr_cmp (x, y))
    {
      printf ("Error for 17 * ULONG_HIGHBIT\n");
      exit (1);
    }

  /* Check regression */
  mpfr_set_prec (x, 32);
  mpfr_set_prec (y, 96);
  mpfr_set_ui (x, 1742175942, GMP_RNDN);
  mpfr_mul_ui (y, x, 59, GMP_RNDN);
  if (mpfr_cmp_str (y, "0.10111111011101010101000110111101000100000000000000"
                    "0000000000000000000000000000000000000000000000E37",
                    2, GMP_RNDN))
    {
      printf ("Regression tested failed for x=1742175942 * 59\n");
      exit (1);
    }

  mpfr_clear(x);
  mpfr_clear(y);

  test_generic_ui (2, 500, 100);

  tests_end_mpfr ();
  return 0;
}