/* Test of <float.h> substitute.

   Copyright (C) 2011-2018 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 <https://www.gnu.org/licenses/>.  */

/* Written by Bruno Haible <bruno@clisp.org>, 2011.  */

#include <config.h>

#include <float.h>

#include "fpucw.h"

#include "macros.h"

/* Check that FLT_RADIX is a constant expression.  */

int a[] = { FLT_RADIX };

#if FLT_RADIX == 2

/* Return 2^n.  */

static float

pow2f (int n)

{

  int k = n;

  volatile float x = 1;

  volatile float y = 2;

  /* Invariant: 2^n == x * y^k.  */

  if (k < 0)

    {

      y = 0.5f;

      k = - k;

    }

  while (k > 0)

    {

      if (k != 2 * (k / 2))

        {

          x = x * y;

          k = k - 1;

        }

      if (k == 0)

        break;

      y = y * y;

      k = k / 2;

    }

  /* Now k == 0, hence x == 2^n.  */

  return x;

}

/* Return 2^n.  */

static double

pow2d (int n)

{

  int k = n;

  volatile double x = 1;

  volatile double y = 2;

  /* Invariant: 2^n == x * y^k.  */

  if (k < 0)

    {

      y = 0.5;

      k = - k;

    }

  while (k > 0)

    {

      if (k != 2 * (k / 2))

        {

          x = x * y;

          k = k - 1;

        }

      if (k == 0)

        break;

      y = y * y;

      k = k / 2;

    }

  /* Now k == 0, hence x == 2^n.  */

  return x;

}

/* Return 2^n.  */

static long double

pow2l (int n)

{

  int k = n;

  volatile long double x = 1;

  volatile long double y = 2;

  /* Invariant: 2^n == x * y^k.  */

  if (k < 0)

    {

      y = 0.5L;

      k = - k;

    }

  while (k > 0)

    {

      if (k != 2 * (k / 2))

        {

          x = x * y;

          k = k - 1;

        }

      if (k == 0)

        break;

      y = y * y;

      k = k / 2;

    }

  /* Now k == 0, hence x == 2^n.  */

  return x;

}

/* ----------------------- Check macros for 'float' ----------------------- */

/* Check that the FLT_* macros expand to constant expressions.  */

int fb[] =

  {

    FLT_MANT_DIG, FLT_MIN_EXP, FLT_MAX_EXP,

    FLT_DIG, FLT_MIN_10_EXP, FLT_MAX_10_EXP

  };

float fc[] = { FLT_EPSILON, FLT_MIN, FLT_MAX };

static void

test_float (void)

{

  /* Check that the value of FLT_MIN_EXP is well parenthesized.  */

  ASSERT ((FLT_MIN_EXP % 101111) == (FLT_MIN_EXP) % 101111);

  /* Check that the value of DBL_MIN_10_EXP is well parenthesized.  */

  ASSERT ((FLT_MIN_10_EXP % 101111) == (FLT_MIN_10_EXP) % 101111);

  /* Check that 'float' is as specified in IEEE 754.  */

  ASSERT (FLT_MANT_DIG == 24);

  ASSERT (FLT_MIN_EXP == -125);

  ASSERT (FLT_MAX_EXP == 128);

  /* Check the value of FLT_MIN_10_EXP.  */

  ASSERT (FLT_MIN_10_EXP == - (int) (- (FLT_MIN_EXP - 1) * 0.30103));

  /* Check the value of FLT_DIG.  */

  ASSERT (FLT_DIG == (int) ((FLT_MANT_DIG - 1) * 0.30103));

  /* Check the value of FLT_MIN_10_EXP.  */

  ASSERT (FLT_MIN_10_EXP == - (int) (- (FLT_MIN_EXP - 1) * 0.30103));

  /* Check the value of FLT_MAX_10_EXP.  */

  ASSERT (FLT_MAX_10_EXP == (int) (FLT_MAX_EXP * 0.30103));

  /* Check the value of FLT_MAX.  */

  {

    volatile float m = FLT_MAX;

    int n;

    ASSERT (m + m > m);

    for (n = 0; n <= 2 * FLT_MANT_DIG; n++)

      {

        volatile float pow2_n = pow2f (n); /* 2^n */

        volatile float x = m + (m / pow2_n);

        if (x > m)

          ASSERT (x + x == x);

        else

          ASSERT (!(x + x == x));

      }

  }

  /* Check the value of FLT_MIN.  */

  {

    volatile float m = FLT_MIN;

    volatile float x = pow2f (FLT_MIN_EXP - 1);

    ASSERT (m == x);

  }

  /* Check the value of FLT_EPSILON.  */

  {

    volatile float e = FLT_EPSILON;

    volatile float me;

    int n;

    me = 1.0f + e;

    ASSERT (me > 1.0f);

    ASSERT (me - 1.0f == e);

    for (n = 0; n <= 2 * FLT_MANT_DIG; n++)

      {

        volatile float half_n = pow2f (- n); /* 2^-n */

        volatile float x = me - half_n;

        if (x < me)

          ASSERT (x <= 1.0f);

      }

  }

}

/* ----------------------- Check macros for 'double' ----------------------- */

/* Check that the DBL_* macros expand to constant expressions.  */

int db[] =

  {

    DBL_MANT_DIG, DBL_MIN_EXP, DBL_MAX_EXP,

    DBL_DIG, DBL_MIN_10_EXP, DBL_MAX_10_EXP

  };

double dc[] = { DBL_EPSILON, DBL_MIN, DBL_MAX };

static void

test_double (void)

{

  /* Check that the value of DBL_MIN_EXP is well parenthesized.  */

  ASSERT ((DBL_MIN_EXP % 101111) == (DBL_MIN_EXP) % 101111);

  /* Check that the value of DBL_MIN_10_EXP is well parenthesized.  */

  ASSERT ((DBL_MIN_10_EXP % 101111) == (DBL_MIN_10_EXP) % 101111);

  /* Check that 'double' is as specified in IEEE 754.  */

  ASSERT (DBL_MANT_DIG == 53);

  ASSERT (DBL_MIN_EXP == -1021);

  ASSERT (DBL_MAX_EXP == 1024);

  /* Check the value of DBL_MIN_10_EXP.  */

  ASSERT (DBL_MIN_10_EXP == - (int) (- (DBL_MIN_EXP - 1) * 0.30103));

  /* Check the value of DBL_DIG.  */

  ASSERT (DBL_DIG == (int) ((DBL_MANT_DIG - 1) * 0.30103));

  /* Check the value of DBL_MIN_10_EXP.  */

  ASSERT (DBL_MIN_10_EXP == - (int) (- (DBL_MIN_EXP - 1) * 0.30103));

  /* Check the value of DBL_MAX_10_EXP.  */

  ASSERT (DBL_MAX_10_EXP == (int) (DBL_MAX_EXP * 0.30103));

  /* Check the value of DBL_MAX.  */

  {

    volatile double m = DBL_MAX;

    int n;

    ASSERT (m + m > m);

    for (n = 0; n <= 2 * DBL_MANT_DIG; n++)

      {

        volatile double pow2_n = pow2d (n); /* 2^n */

        volatile double x = m + (m / pow2_n);

        if (x > m)

          ASSERT (x + x == x);

        else

          ASSERT (!(x + x == x));

      }

  }

  /* Check the value of DBL_MIN.  */

  {

    volatile double m = DBL_MIN;

    volatile double x = pow2d (DBL_MIN_EXP - 1);

    ASSERT (m == x);

  }

  /* Check the value of DBL_EPSILON.  */

  {

    volatile double e = DBL_EPSILON;

    volatile double me;

    int n;

    me = 1.0 + e;

    ASSERT (me > 1.0);

    ASSERT (me - 1.0 == e);

    for (n = 0; n <= 2 * DBL_MANT_DIG; n++)

      {

        volatile double half_n = pow2d (- n); /* 2^-n */

        volatile double x = me - half_n;

        if (x < me)

          ASSERT (x <= 1.0);

      }

  }

}

/* -------------------- Check macros for 'long double' -------------------- */

/* Check that the LDBL_* macros expand to constant expressions.  */

int lb[] =

  {

    LDBL_MANT_DIG, LDBL_MIN_EXP, LDBL_MAX_EXP,

    LDBL_DIG, LDBL_MIN_10_EXP, LDBL_MAX_10_EXP

  };

long double lc1 = LDBL_EPSILON;

long double lc2 = LDBL_MIN;

#if 0 /* LDBL_MAX is not a constant expression on some platforms.  */

long double lc3 = LDBL_MAX;

#endif

static void

test_long_double (void)

{

  /* Check that the value of LDBL_MIN_EXP is well parenthesized.  */

  ASSERT ((LDBL_MIN_EXP % 101111) == (LDBL_MIN_EXP) % 101111);

  /* Check that the value of LDBL_MIN_10_EXP is well parenthesized.  */

  ASSERT ((LDBL_MIN_10_EXP % 101111) == (LDBL_MIN_10_EXP) % 101111);

  /* Check that 'long double' is at least as wide as 'double'.  */

  ASSERT (LDBL_MANT_DIG >= DBL_MANT_DIG);

  ASSERT (LDBL_MIN_EXP - LDBL_MANT_DIG <= DBL_MIN_EXP - DBL_MANT_DIG);

  ASSERT (LDBL_MAX_EXP >= DBL_MAX_EXP);

  /* Check the value of LDBL_DIG.  */

  ASSERT (LDBL_DIG == (int)((LDBL_MANT_DIG - 1) * 0.30103));

  /* Check the value of LDBL_MIN_10_EXP.  */

  ASSERT (LDBL_MIN_10_EXP == - (int) (- (LDBL_MIN_EXP - 1) * 0.30103));

  /* Check the value of LDBL_MAX_10_EXP.  */

  ASSERT (LDBL_MAX_10_EXP == (int) (LDBL_MAX_EXP * 0.30103));

  /* Check the value of LDBL_MAX.  */

  {

    volatile long double m = LDBL_MAX;

    int n;

    ASSERT (m + m > m);

    for (n = 0; n <= 2 * LDBL_MANT_DIG; n++)

      {

        volatile long double pow2_n = pow2l (n); /* 2^n */

        volatile long double x = m + (m / pow2_n);

        if (x > m)

          ASSERT (x + x == x);

        else

          ASSERT (!(x + x == x));

      }

  }

  /* Check the value of LDBL_MIN.  */

  {

    volatile long double m = LDBL_MIN;

    volatile long double x = pow2l (LDBL_MIN_EXP - 1);

    ASSERT (m == x);

  }

  /* Check the value of LDBL_EPSILON.  */

  {

    volatile long double e = LDBL_EPSILON;

    volatile long double me;

    int n;

    me = 1.0L + e;

    ASSERT (me > 1.0L);

    ASSERT (me - 1.0L == e);

    for (n = 0; n <= 2 * LDBL_MANT_DIG; n++)

      {

        volatile long double half_n = pow2l (- n); /* 2^-n */

        volatile long double x = me - half_n;

        if (x < me)

          ASSERT (x <= 1.0L);

      }

  }

}

int

main ()

{

  test_float ();

  test_double ();

  {

    DECL_LONG_DOUBLE_ROUNDING

    BEGIN_LONG_DOUBLE_ROUNDING ();

    test_long_double ();

    END_LONG_DOUBLE_ROUNDING ();

  }

  return 0;

}

#else

int

main ()

{

  fprintf (stderr, "Skipping test: FLT_RADIX is not 2.\n");

  return 77;

}

#endif