binutils-gdb/libiberty/floatformat.c

/* IEEE floating point support routines, for GDB, the GNU Debugger.
   Copyright (C) 1991, 1994, 1999 Free Software Foundation, Inc.

This file is part of GDB.

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 2 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, write to the Free Software
Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.  */

#include "floatformat.h"
#include <math.h>		/* ldexp */
#ifdef __STDC__
#include <stddef.h>
extern void *memcpy (void *s1, const void *s2, size_t n);
extern void *memset (void *s, int c, size_t n);
#else
extern char *memcpy ();
extern char *memset ();
#endif

/* The odds that CHAR_BIT will be anything but 8 are low enough that I'm not
   going to bother with trying to muck around with whether it is defined in
   a system header, what we do if not, etc.  */
#define FLOATFORMAT_CHAR_BIT 8

/* floatformats for IEEE single and double, big and little endian.  */
const struct floatformat floatformat_ieee_single_big =
{
  floatformat_big, 32, 0, 1, 8, 127, 255, 9, 23, floatformat_intbit_no
};
const struct floatformat floatformat_ieee_single_little =
{
  floatformat_little, 32, 0, 1, 8, 127, 255, 9, 23, floatformat_intbit_no
};
const struct floatformat floatformat_ieee_double_big =
{
  floatformat_big, 64, 0, 1, 11, 1023, 2047, 12, 52, floatformat_intbit_no
};
const struct floatformat floatformat_ieee_double_little =
{
  floatformat_little, 64, 0, 1, 11, 1023, 2047, 12, 52, floatformat_intbit_no
};

/* floatformat for IEEE double, little endian byte order, with big endian word
   ordering, as on the ARM.  */

const struct floatformat floatformat_ieee_double_littlebyte_bigword =
{
  floatformat_littlebyte_bigword, 64, 0, 1, 11, 1023, 2047, 12, 52, floatformat_intbit_no
};

const struct floatformat floatformat_i387_ext =
{
  floatformat_little, 80, 0, 1, 15, 0x3fff, 0x7fff, 16, 64,
  floatformat_intbit_yes
};
const struct floatformat floatformat_m68881_ext =
{
  /* Note that the bits from 16 to 31 are unused.  */
  floatformat_big, 96, 0, 1, 15, 0x3fff, 0x7fff, 32, 64, floatformat_intbit_yes
};
const struct floatformat floatformat_i960_ext =
{
  /* Note that the bits from 0 to 15 are unused.  */
  floatformat_little, 96, 16, 17, 15, 0x3fff, 0x7fff, 32, 64,
  floatformat_intbit_yes
};
const struct floatformat floatformat_m88110_ext =
{
#ifdef HARRIS_FLOAT_FORMAT
  /* Harris uses raw format 128 bytes long, but the number is just an ieee
     double, and the last 64 bits are wasted. */
  floatformat_big,128, 0, 1, 11,  0x3ff,  0x7ff, 12, 52,
  floatformat_intbit_no
#else
  floatformat_big, 80, 0, 1, 15, 0x3fff, 0x7fff, 16, 64,
  floatformat_intbit_yes
#endif /* HARRIS_FLOAT_FORMAT */
};
const struct floatformat floatformat_arm_ext =
{
  /* Bits 1 to 16 are unused.  */
  floatformat_big, 96, 0, 17, 15, 0x3fff, 0x7fff, 32, 64,
  floatformat_intbit_yes
};

static unsigned long get_field PARAMS ((unsigned char *,
					enum floatformat_byteorders,
					unsigned int,
					unsigned int,
					unsigned int));

/* Extract a field which starts at START and is LEN bytes long.  DATA and
   TOTAL_LEN are the thing we are extracting it from, in byteorder ORDER.  */
static unsigned long
get_field (data, order, total_len, start, len)
     unsigned char *data;
     enum floatformat_byteorders order;
     unsigned int total_len;
     unsigned int start;
     unsigned int len;
{
  unsigned long result;
  unsigned int cur_byte;
  int cur_bitshift;

  /* Start at the least significant part of the field.  */
  cur_byte = (start + len) / FLOATFORMAT_CHAR_BIT;
  if (order == floatformat_little)
    cur_byte = (total_len / FLOATFORMAT_CHAR_BIT) - cur_byte - 1;
  cur_bitshift =
    ((start + len) % FLOATFORMAT_CHAR_BIT) - FLOATFORMAT_CHAR_BIT;
  result = *(data + cur_byte) >> (-cur_bitshift);
  cur_bitshift += FLOATFORMAT_CHAR_BIT;
  if (order == floatformat_little)
    ++cur_byte;
  else
    --cur_byte;

  /* Move towards the most significant part of the field.  */
  while ((unsigned int) cur_bitshift < len)
    {
      if (len - cur_bitshift < FLOATFORMAT_CHAR_BIT)
	/* This is the last byte; zero out the bits which are not part of
	   this field.  */
	result |=
	  (*(data + cur_byte) & ((1 << (len - cur_bitshift)) - 1))
	    << cur_bitshift;
      else
	result |= *(data + cur_byte) << cur_bitshift;
      cur_bitshift += FLOATFORMAT_CHAR_BIT;
      if (order == floatformat_little)
	++cur_byte;
      else
	--cur_byte;
    }
  return result;
}
  
#ifndef min
#define min(a, b) ((a) < (b) ? (a) : (b))
#endif

/* Convert from FMT to a double.
   FROM is the address of the extended float.
   Store the double in *TO.  */

void
floatformat_to_double (fmt, from, to)
     const struct floatformat *fmt;
     char *from;
     double *to;
{
  unsigned char *ufrom = (unsigned char *)from;
  double dto;
  long exponent;
  unsigned long mant;
  unsigned int mant_bits, mant_off;
  int mant_bits_left;
  int special_exponent;		/* It's a NaN, denorm or zero */

  exponent = get_field (ufrom, fmt->byteorder, fmt->totalsize,
			fmt->exp_start, fmt->exp_len);
  /* Note that if exponent indicates a NaN, we can't really do anything useful
     (not knowing if the host has NaN's, or how to build one).  So it will
     end up as an infinity or something close; that is OK.  */

  mant_bits_left = fmt->man_len;
  mant_off = fmt->man_start;
  dto = 0.0;

  special_exponent = exponent == 0 || (unsigned long) exponent == fmt->exp_nan;

  /* Don't bias zero's, denorms or NaNs.  */
  if (!special_exponent)
    exponent -= fmt->exp_bias;

  /* Build the result algebraically.  Might go infinite, underflow, etc;
     who cares. */

  /* If this format uses a hidden bit, explicitly add it in now.  Otherwise,
     increment the exponent by one to account for the integer bit.  */

  if (!special_exponent)
    {
      if (fmt->intbit == floatformat_intbit_no)
	dto = ldexp (1.0, exponent);
      else
	exponent++;
    }

  while (mant_bits_left > 0)
    {
      mant_bits = min (mant_bits_left, 32);

      mant = get_field (ufrom, fmt->byteorder, fmt->totalsize,
			 mant_off, mant_bits);

      dto += ldexp ((double)mant, exponent - mant_bits);
      exponent -= mant_bits;
      mant_off += mant_bits;
      mant_bits_left -= mant_bits;
    }

  /* Negate it if negative.  */
  if (get_field (ufrom, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1))
    dto = -dto;
  *to = dto;
}

static void put_field PARAMS ((unsigned char *, enum floatformat_byteorders,
			       unsigned int,
			       unsigned int,
			       unsigned int,
			       unsigned long));

/* Set a field which starts at START and is LEN bytes long.  DATA and
   TOTAL_LEN are the thing we are extracting it from, in byteorder ORDER.  */
static void
put_field (data, order, total_len, start, len, stuff_to_put)
     unsigned char *data;
     enum floatformat_byteorders order;
     unsigned int total_len;
     unsigned int start;
     unsigned int len;
     unsigned long stuff_to_put;
{
  unsigned int cur_byte;
  int cur_bitshift;

  /* Start at the least significant part of the field.  */
  cur_byte = (start + len) / FLOATFORMAT_CHAR_BIT;
  if (order == floatformat_little)
    cur_byte = (total_len / FLOATFORMAT_CHAR_BIT) - cur_byte - 1;
  cur_bitshift =
    ((start + len) % FLOATFORMAT_CHAR_BIT) - FLOATFORMAT_CHAR_BIT;
  *(data + cur_byte) &=
    ~(((1 << ((start + len) % FLOATFORMAT_CHAR_BIT)) - 1) << (-cur_bitshift));
  *(data + cur_byte) |=
    (stuff_to_put & ((1 << FLOATFORMAT_CHAR_BIT) - 1)) << (-cur_bitshift);
  cur_bitshift += FLOATFORMAT_CHAR_BIT;
  if (order == floatformat_little)
    ++cur_byte;
  else
    --cur_byte;

  /* Move towards the most significant part of the field.  */
  while ((unsigned int) cur_bitshift < len)
    {
      if (len - cur_bitshift < FLOATFORMAT_CHAR_BIT)
	{
	  /* This is the last byte.  */
	  *(data + cur_byte) &=
	    ~((1 << (len - cur_bitshift)) - 1);
	  *(data + cur_byte) |= (stuff_to_put >> cur_bitshift);
	}
      else
	*(data + cur_byte) = ((stuff_to_put >> cur_bitshift)
			      & ((1 << FLOATFORMAT_CHAR_BIT) - 1));
      cur_bitshift += FLOATFORMAT_CHAR_BIT;
      if (order == floatformat_little)
	++cur_byte;
      else
	--cur_byte;
    }
}

/* The converse: convert the double *FROM to an extended float
   and store where TO points.  Neither FROM nor TO have any alignment
   restrictions.  */

void
floatformat_from_double (fmt, from, to)
     const struct floatformat *fmt;
     double *from;
     char *to;
{
  double dfrom;
  int exponent;
  double mant;
  unsigned int mant_bits, mant_off;
  int mant_bits_left;
  unsigned char *uto = (unsigned char *)to;

  memcpy (&dfrom, from, sizeof (dfrom));
  memset (uto, 0, fmt->totalsize / FLOATFORMAT_CHAR_BIT);
  if (dfrom == 0)
    return;			/* Result is zero */
  if (dfrom != dfrom)
    {
      /* From is NaN */
      put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
		 fmt->exp_len, fmt->exp_nan);
      /* Be sure it's not infinity, but NaN value is irrel */
      put_field (uto, fmt->byteorder, fmt->totalsize, fmt->man_start,
		 32, 1);
      return;
    }

  /* If negative, set the sign bit.  */
  if (dfrom < 0)
    {
      put_field (uto, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1, 1);
      dfrom = -dfrom;
    }

  /* How to tell an infinity from an ordinary number?  FIXME-someday */

  mant = frexp (dfrom, &exponent);
  put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start, fmt->exp_len,
	     exponent + fmt->exp_bias - 1);

  mant_bits_left = fmt->man_len;
  mant_off = fmt->man_start;
  while (mant_bits_left > 0)
    {
      unsigned long mant_long;
      mant_bits = mant_bits_left < 32 ? mant_bits_left : 32;

      mant *= 4294967296.0;
      mant_long = (unsigned long)mant;
      mant -= mant_long;

      /* If the integer bit is implicit, then we need to discard it.
	 If we are discarding a zero, we should be (but are not) creating
	 a denormalized	number which means adjusting the exponent
	 (I think).  */
      if ((unsigned int) mant_bits_left == fmt->man_len
	  && fmt->intbit == floatformat_intbit_no)
	{
	  mant_long &= 0x7fffffff;
	  mant_bits -= 1;
	}
      else if (mant_bits < 32)
	{
	  /* The bits we want are in the most significant MANT_BITS bits of
	     mant_long.  Move them to the least significant.  */
	  mant_long >>= 32 - mant_bits;
	}

      put_field (uto, fmt->byteorder, fmt->totalsize,
		 mant_off, mant_bits, mant_long);
      mant_off += mant_bits;
      mant_bits_left -= mant_bits;
    }
}


#ifdef IEEE_DEBUG

/* This is to be run on a host which uses IEEE floating point.  */

void
ieee_test (n)
     double n;
{
  double result;
  char exten[16];

  floatformat_to_double (&floatformat_ieee_double_big, &n, &result);
  if (n != result)
    printf ("Differ(to): %.20g -> %.20g\n", n, result);
  floatformat_from_double (&floatformat_ieee_double_big, &n, &result);
  if (n != result)
    printf ("Differ(from): %.20g -> %.20g\n", n, result);

  floatformat_from_double (&floatformat_m68881_ext, &n, exten);
  floatformat_to_double (&floatformat_m68881_ext, exten, &result);
  if (n != result)
    printf ("Differ(to+from): %.20g -> %.20g\n", n, result);

#if IEEE_DEBUG > 1
  /* This is to be run on a host which uses 68881 format.  */
  {
    long double ex = *(long double *)exten;
    if (ex != n)
      printf ("Differ(from vs. extended): %.20g\n", n);
  }
#endif
}

int
main ()
{
  ieee_test (0.5);
  ieee_test (256.0);
  ieee_test (0.12345);
  ieee_test (234235.78907234);
  ieee_test (-512.0);
  ieee_test (-0.004321);
  return 0;
}
#endif