Dockfile-Coreseek/coreseek/m4-1.4.13/tests/test-frexp.c

/* Test of splitting a double into fraction and mantissa.
   Copyright (C) 2007-2008 Free Software Foundation, Inc.

   This program is free software: you can redistribute it and/or modify
   it under the terms of the GNU General Public License as published by
   the Free Software Foundation; either version 3 of the License, or
   (at your option) any later version.

   This program 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 General Public License for more details.

   You should have received a copy of the GNU General Public License
   along with this program.  If not, see <http://www.gnu.org/licenses/>.  */

/* Written by Bruno Haible <bruno@clisp.org>, 2007.  */

#include <config.h>

#include <math.h>

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

#include "isnand-nolibm.h"
#include "nan.h"

/* Avoid some warnings from "gcc -Wshadow".
   This file doesn't use the exp() function.  */
#undef exp
#define exp exponent

#define ASSERT(expr) \
  do									     \
    {									     \
      if (!(expr))							     \
        {								     \
          fprintf (stderr, "%s:%d: assertion failed\n", __FILE__, __LINE__); \
          fflush (stderr);						     \
          abort ();							     \
        }								     \
    }									     \
  while (0)

/* HP cc on HP-UX 10.20 has a bug with the constant expression -0.0.
   So we use -zero instead.  */
double zero = 0.0;

static double
my_ldexp (double x, int d)
{
  for (; d > 0; d--)
    x *= 2.0;
  for (; d < 0; d++)
    x *= 0.5;
  return x;
}

int
main ()
{
  int i;
  /* The use of 'volatile' guarantees that excess precision bits are dropped
     when dealing with denormalized numbers.  It is necessary on x86 systems
     where double-floats are not IEEE compliant by default, to avoid that the
     results become platform and compiler option dependent.  'volatile' is a
     portable alternative to gcc's -ffloat-store option.  */
  volatile double x;

  { /* NaN.  */
    int exp = -9999;
    double mantissa;
    x = NaNd ();
    mantissa = frexp (x, &exp);
    ASSERT (isnand (mantissa));
  }

  { /* Positive infinity.  */
    int exp = -9999;
    double mantissa;
    x = 1.0 / 0.0;
    mantissa = frexp (x, &exp);
    ASSERT (mantissa == x);
  }

  { /* Negative infinity.  */
    int exp = -9999;
    double mantissa;
    x = -1.0 / 0.0;
    mantissa = frexp (x, &exp);
    ASSERT (mantissa == x);
  }

  { /* Positive zero.  */
    int exp = -9999;
    double mantissa;
    x = 0.0;
    mantissa = frexp (x, &exp);
    ASSERT (exp == 0);
    ASSERT (mantissa == x);
    ASSERT (!signbit (mantissa));
  }

  { /* Negative zero.  */
    int exp = -9999;
    double mantissa;
    x = -zero;
    mantissa = frexp (x, &exp);
    ASSERT (exp == 0);
    ASSERT (mantissa == x);
    ASSERT (signbit (mantissa));
  }

  for (i = 1, x = 1.0; i <= DBL_MAX_EXP; i++, x *= 2.0)
    {
      int exp = -9999;
      double mantissa = frexp (x, &exp);
      ASSERT (exp == i);
      ASSERT (mantissa == 0.5);
    }
  for (i = 1, x = 1.0; i >= DBL_MIN_EXP; i--, x *= 0.5)
    {
      int exp = -9999;
      double mantissa = frexp (x, &exp);
      ASSERT (exp == i);
      ASSERT (mantissa == 0.5);
    }
  for (; i >= DBL_MIN_EXP - 100 && x > 0.0; i--, x *= 0.5)
    {
      int exp = -9999;
      double mantissa = frexp (x, &exp);
      ASSERT (exp == i);
      ASSERT (mantissa == 0.5);
    }

  for (i = 1, x = -1.0; i <= DBL_MAX_EXP; i++, x *= 2.0)
    {
      int exp = -9999;
      double mantissa = frexp (x, &exp);
      ASSERT (exp == i);
      ASSERT (mantissa == -0.5);
    }
  for (i = 1, x = -1.0; i >= DBL_MIN_EXP; i--, x *= 0.5)
    {
      int exp = -9999;
      double mantissa = frexp (x, &exp);
      ASSERT (exp == i);
      ASSERT (mantissa == -0.5);
    }
  for (; i >= DBL_MIN_EXP - 100 && x < 0.0; i--, x *= 0.5)
    {
      int exp = -9999;
      double mantissa = frexp (x, &exp);
      ASSERT (exp == i);
      ASSERT (mantissa == -0.5);
    }

  for (i = 1, x = 1.01; i <= DBL_MAX_EXP; i++, x *= 2.0)
    {
      int exp = -9999;
      double mantissa = frexp (x, &exp);
      ASSERT (exp == i);
      ASSERT (mantissa == 0.505);
    }
  for (i = 1, x = 1.01; i >= DBL_MIN_EXP; i--, x *= 0.5)
    {
      int exp = -9999;
      double mantissa = frexp (x, &exp);
      ASSERT (exp == i);
      ASSERT (mantissa == 0.505);
    }
  for (; i >= DBL_MIN_EXP - 100 && x > 0.0; i--, x *= 0.5)
    {
      int exp = -9999;
      double mantissa = frexp (x, &exp);
      ASSERT (exp == i);
      ASSERT (mantissa >= 0.5);
      ASSERT (mantissa < 1.0);
      ASSERT (mantissa == my_ldexp (x, - exp));
    }

  for (i = 1, x = 1.73205; i <= DBL_MAX_EXP; i++, x *= 2.0)
    {
      int exp = -9999;
      double mantissa = frexp (x, &exp);
      ASSERT (exp == i);
      ASSERT (mantissa == 0.866025);
    }
  for (i = 1, x = 1.73205; i >= DBL_MIN_EXP; i--, x *= 0.5)
    {
      int exp = -9999;
      double mantissa = frexp (x, &exp);
      ASSERT (exp == i);
      ASSERT (mantissa == 0.866025);
    }
  for (; i >= DBL_MIN_EXP - 100 && x > 0.0; i--, x *= 0.5)
    {
      int exp = -9999;
      double mantissa = frexp (x, &exp);
      ASSERT (exp == i || exp == i + 1);
      ASSERT (mantissa >= 0.5);
      ASSERT (mantissa < 1.0);
      ASSERT (mantissa == my_ldexp (x, - exp));
    }

  return 0;
}