Ejemplo n.º 1
0
int
main (void)
{
  mpfr_t x, y;
  float f, g, infp;
  int i;

  infp = (float) DBL_POS_INF;
  if (infp * 0.5 != infp)
    {
      fprintf (stderr, "Error, FLT_MAX + FLT_MAX does not yield INFP\n");
      fprintf (stderr, "(this is probably a compiler bug, please report)\n");
      exit (1);
    }

  tests_start_mpfr ();

  mpfr_init2 (x, 24);
  mpfr_init2 (y, 24);

#if !defined(MPFR_ERRDIVZERO)
  mpfr_set_nan (x);
  f = mpfr_get_flt (x, MPFR_RNDN);
  if (f == f)
    {
      printf ("Error for mpfr_get_flt(NaN)\n");
      exit (1);
    }
  mpfr_set_flt (x, f, MPFR_RNDN);
  if (mpfr_nan_p (x) == 0)
    {
      printf ("Error for mpfr_set_flt(NaN)\n");
      exit (1);
    }

  mpfr_set_inf (x, 1);
  f = mpfr_get_flt (x, MPFR_RNDN);
  mpfr_set_flt (x, f, MPFR_RNDN);
  if (mpfr_inf_p (x) == 0 || mpfr_sgn (x) < 0)
    {
      printf ("Error for mpfr_set_flt(mpfr_get_flt(+Inf)):\n");
      printf ("f=%f, expected -Inf\n", f);
      printf ("got "); mpfr_dump (x);
      exit (1);
    }

  mpfr_set_inf (x, -1);
  f = mpfr_get_flt (x, MPFR_RNDN);
  mpfr_set_flt (x, f, MPFR_RNDN);
  if (mpfr_inf_p (x) == 0 || mpfr_sgn (x) > 0)
    {
      printf ("Error for mpfr_set_flt(mpfr_get_flt(-Inf)):\n");
      printf ("f=%f, expected -Inf\n", f);
      printf ("got "); mpfr_dump (x);
      exit (1);
    }
#endif

  mpfr_set_ui (x, 0, MPFR_RNDN);
  f = mpfr_get_flt (x, MPFR_RNDN);
  mpfr_set_flt (x, f, MPFR_RNDN);
  if (mpfr_zero_p (x) == 0 || MPFR_SIGN (x) < 0)
    {
      printf ("Error for mpfr_set_flt(mpfr_get_flt(+0))\n");
      exit (1);
    }

#ifdef HAVE_SIGNEDZ
  mpfr_set_ui (x, 0, MPFR_RNDN);
  mpfr_neg (x, x, MPFR_RNDN);
  f = mpfr_get_flt (x, MPFR_RNDN);
  mpfr_set_flt (x, f, MPFR_RNDN);
  if (mpfr_zero_p (x) == 0 || MPFR_SIGN (x) > 0)
    {
      printf ("Error for mpfr_set_flt(mpfr_get_flt(-0))\n");
      exit (1);
    }
#endif  /* HAVE_SIGNEDZ */

  mpfr_set_ui (x, 17, MPFR_RNDN);
  f = mpfr_get_flt (x, MPFR_RNDN);
  mpfr_set_flt (x, f, MPFR_RNDN);
  if (mpfr_cmp_ui (x, 17) != 0)
    {
      printf ("Error for mpfr_set_flt(mpfr_get_flt(17))\n");
      printf ("expected 17\n");
      printf ("got      ");
      mpfr_dump (x);
      exit (1);
    }

  mpfr_set_si (x, -42, MPFR_RNDN);
  f = mpfr_get_flt (x, MPFR_RNDN);
  mpfr_set_flt (x, f, MPFR_RNDN);
  if (mpfr_cmp_si (x, -42) != 0)
    {
      printf ("Error for mpfr_set_flt(mpfr_get_flt(-42))\n");
      printf ("expected -42\n");
      printf ("got      ");
      mpfr_dump (x);
      exit (1);
    }

  mpfr_set_si_2exp (x, 1, -126, MPFR_RNDN);
  for (i = -126; i < 128; i++)
    {
      f = mpfr_get_flt (x, MPFR_RNDN);
      mpfr_set_flt (y, f, MPFR_RNDN);
      if (mpfr_cmp (x, y) != 0)
        {
          printf ("Error for mpfr_set_flt(mpfr_get_flt(x))\n");
          printf ("expected "); mpfr_dump (x);
          printf ("got      "); mpfr_dump (y);
          exit (1);
        }
      mpfr_mul_2exp (x, x, 1, MPFR_RNDN);
    }

  mpfr_set_prec (x, 53);
  mpfr_set_si_2exp (x, 1, -126, MPFR_RNDN);
  for (i = -126; i < 128; i++)
    {
      mpfr_nextbelow (x);
      f = mpfr_get_flt (x, MPFR_RNDN);
      mpfr_nextabove (x);
      mpfr_set_flt (y, f, MPFR_RNDN);
      if (mpfr_cmp (x, y) != 0)
        {
          printf ("Error for mpfr_set_flt(mpfr_get_flt(x))\n");
          printf ("expected "); mpfr_dump (x);
          printf ("got      "); mpfr_dump (y);
          exit (1);
        }
      mpfr_mul_2exp (x, x, 1, MPFR_RNDN);
    }

  mpfr_set_prec (x, 53);
  mpfr_set_si_2exp (x, 1, -126, MPFR_RNDN);
  for (i = -126; i < 128; i++)
    {
      mpfr_nextabove (x);
      f = mpfr_get_flt (x, MPFR_RNDN);
      mpfr_nextbelow (x);
      mpfr_set_flt (y, f, MPFR_RNDN);
      if (mpfr_cmp (x, y) != 0)
        {
          printf ("Error for mpfr_set_flt(mpfr_get_flt(x))\n");
          printf ("expected "); mpfr_dump (x);
          printf ("got      "); mpfr_dump (y);
          exit (1);
        }
      mpfr_mul_2exp (x, x, 1, MPFR_RNDN);
    }

  mpfr_set_si_2exp (x, 1, -150, MPFR_RNDN);
  g = 0.0;
  f = mpfr_get_flt (x, MPFR_RNDN);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^(-150),RNDN)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  f = mpfr_get_flt (x, MPFR_RNDZ);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^(-150),RNDZ)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  f = mpfr_get_flt (x, MPFR_RNDD);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^(-150),RNDD)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  g = FLT_MIN * FLT_EPSILON;
  f = mpfr_get_flt (x, MPFR_RNDU);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^(-150),RNDU)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  f = mpfr_get_flt (x, MPFR_RNDA);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^(-150),RNDA)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }

  mpfr_set_si_2exp (x, 1, -151, MPFR_RNDN);
  g = 0.0;
  f = mpfr_get_flt (x, MPFR_RNDN);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^(-151),RNDN)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  f = mpfr_get_flt (x, MPFR_RNDZ);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^(-151),RNDZ)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  f = mpfr_get_flt (x, MPFR_RNDD);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^(-151),RNDD)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  g = FLT_MIN * FLT_EPSILON;
  f = mpfr_get_flt (x, MPFR_RNDU);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^(-151),RNDU)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  f = mpfr_get_flt (x, MPFR_RNDA);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^(-151),RNDA)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }

  mpfr_set_si_2exp (x, 1, -149, MPFR_RNDN);
  g = FLT_MIN * FLT_EPSILON;
  f = mpfr_get_flt (x, MPFR_RNDN);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^(-149),RNDN)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  f = mpfr_get_flt (x, MPFR_RNDZ);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^(-149),RNDZ)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  f = mpfr_get_flt (x, MPFR_RNDD);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^(-149),RNDD)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  f = mpfr_get_flt (x, MPFR_RNDU);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^(-149),RNDU)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  f = mpfr_get_flt (x, MPFR_RNDA);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^(-149),RNDA)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }

  mpfr_set_si_2exp (x, 1, 128, MPFR_RNDN);
  g = FLT_MAX;
  f = mpfr_get_flt (x, MPFR_RNDZ);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^128,RNDZ)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  f = mpfr_get_flt (x, MPFR_RNDD);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^128,RNDD)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
#if !defined(MPFR_ERRDIVZERO)
  f = mpfr_get_flt (x, MPFR_RNDN); /* 2^128 rounds to itself with extended
                                      exponent range, we should get +Inf */
  g = infp;
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^128,RNDN)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  f = mpfr_get_flt (x, MPFR_RNDU);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^128,RNDU)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  f = mpfr_get_flt (x, MPFR_RNDA);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^128,RNDA)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
#endif

  /* corner case: take x with 25 bits just below 2^128 */
  mpfr_set_prec (x, 25);
  mpfr_set_si_2exp (x, 1, 128, MPFR_RNDN);
  mpfr_nextbelow (x);
  g = FLT_MAX;
  f = mpfr_get_flt (x, MPFR_RNDZ);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^128*(1-2^(-25)),RNDZ)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  f = mpfr_get_flt (x, MPFR_RNDD);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^128*(1-2^(-25)),RNDD)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  f = mpfr_get_flt (x, MPFR_RNDN); /* first round to 2^128 (even rule),
                                      thus we should get +Inf */
  g = infp;
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^128*(1-2^(-25)),RNDN)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  f = mpfr_get_flt (x, MPFR_RNDU);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^128*(1-2^(-25)),RNDU)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }
  f = mpfr_get_flt (x, MPFR_RNDA);
  if (f != g)
    {
      printf ("Error for mpfr_get_flt(2^128*(1-2^(-25)),RNDA)\n");
      printf ("expected %.8e, got %.8e\n", g, f);
      exit (1);
    }

  mpfr_clear (x);
  mpfr_clear (y);

  tests_end_mpfr ();
  return 0;
}
Ejemplo n.º 2
0
 /// Explicit conversion to float
 inline explicit operator float() const noexcept { return mpfr_get_flt(val, internal::rounding_mode()); }