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/* Decimal floating point support.

   Copyright (C) 2005, 2006, 2007, 2008, 2009 Free Software

   Foundation, Inc.

This file is part of GCC.

GCC 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, or (at your option) any later

version.

GCC 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 GCC; see the file COPYING3.  If not see

<http://www.gnu.org/licenses/>.  */

#include "config.h"

#include "system.h"

#include "coretypes.h"

#include "tm.h"

#include "tree.h"

#include "toplev.h"

#include "real.h"

#include "tm_p.h"

#include "dfp.h"

/* The order of the following headers is important for making sure

   decNumber structure is large enough to hold decimal128 digits.  */

#include "decimal128.h"

#include "decimal128Local.h"

#include "decimal64.h"

#include "decimal32.h"

#include "decNumber.h"

#ifndef WORDS_BIGENDIAN

#define WORDS_BIGENDIAN 0

#endif

/* Initialize R (a real with the decimal flag set) from DN.  Can

   utilize status passed in via CONTEXT, if a previous operation had

   interesting status.  */

static void

decimal_from_decnumber (REAL_VALUE_TYPE *r, decNumber *dn, decContext *context)

{

  memset (r, 0, sizeof (REAL_VALUE_TYPE));

  r->cl = rvc_normal;

  if (decNumberIsNaN (dn))

    r->cl = rvc_nan;

  if (decNumberIsInfinite (dn))

    r->cl = rvc_inf;

  if (context->status & DEC_Overflow)

    r->cl = rvc_inf;

  if (decNumberIsNegative (dn))

    r->sign = 1;

  r->decimal = 1;

  if (r->cl != rvc_normal)

    return;

  decContextDefault (context, DEC_INIT_DECIMAL128);

  context->traps = 0;

  decimal128FromNumber ((decimal128 *) r->sig, dn, context);

}

/* Create decimal encoded R from string S.  */

void

decimal_real_from_string (REAL_VALUE_TYPE *r, const char *s)

{

  decNumber dn;

  decContext set;

  decContextDefault (&set, DEC_INIT_DECIMAL128);

  set.traps = 0;

  decNumberFromString (&dn, s, &set);

  /* It would be more efficient to store directly in decNumber format,

     but that is impractical from current data structure size.

     Encoding as a decimal128 is much more compact.  */

  decimal_from_decnumber (r, &dn, &set);

}

/* Initialize a decNumber from a REAL_VALUE_TYPE.  */

static void

decimal_to_decnumber (const REAL_VALUE_TYPE *r, decNumber *dn)

{

  decContext set;

  decContextDefault (&set, DEC_INIT_DECIMAL128);

  set.traps = 0;

  switch (r->cl)

    {

    case rvc_zero:

      decNumberZero (dn);

      break;

    case rvc_inf:

      decNumberFromString (dn, "Infinity", &set);

      break;

    case rvc_nan:

      if (r->signalling)

        decNumberFromString (dn, "snan", &set);

      else

        decNumberFromString (dn, "nan", &set);

      break;

    case rvc_normal:

      gcc_assert (r->decimal);

      decimal128ToNumber ((const decimal128 *) r->sig, dn);

      break;

    default:

      gcc_unreachable ();

    }

  /* Fix up sign bit.  */

  if (r->sign != decNumberIsNegative (dn))

    dn->bits ^= DECNEG;

}

/* Encode a real into an IEEE 754 decimal32 type.  */

void

encode_decimal32 (const struct real_format *fmt ATTRIBUTE_UNUSED,

                  long *buf, const REAL_VALUE_TYPE *r)

{

  decNumber dn;

  decimal32 d32;

  decContext set;

  int32_t image;

  decContextDefault (&set, DEC_INIT_DECIMAL128);

  set.traps = 0;

  decimal_to_decnumber (r, &dn);

  decimal32FromNumber (&d32, &dn, &set);

  memcpy (&image, d32.bytes, sizeof (int32_t));

  buf[0] = image;

}

/* Decode an IEEE 754 decimal32 type into a real.  */

void

decode_decimal32 (const struct real_format *fmt ATTRIBUTE_UNUSED,

                  REAL_VALUE_TYPE *r, const long *buf)

{

  decNumber dn;

  decimal32 d32;

  decContext set;

  int32_t image;

  decContextDefault (&set, DEC_INIT_DECIMAL128);

  set.traps = 0;

  image = buf[0];

  memcpy (&d32.bytes, &image, sizeof (int32_t));

  decimal32ToNumber (&d32, &dn);

  decimal_from_decnumber (r, &dn, &set);

}

/* Encode a real into an IEEE 754 decimal64 type.  */

void

encode_decimal64 (const struct real_format *fmt ATTRIBUTE_UNUSED,

                  long *buf, const REAL_VALUE_TYPE *r)

{

  decNumber dn;

  decimal64 d64;

  decContext set;

  int32_t image;

  decContextDefault (&set, DEC_INIT_DECIMAL128);

  set.traps = 0;

  decimal_to_decnumber (r, &dn);

  decimal64FromNumber (&d64, &dn, &set);

  if (WORDS_BIGENDIAN == FLOAT_WORDS_BIG_ENDIAN)

    {

      memcpy (&image, &d64.bytes[0], sizeof (int32_t));

      buf[0] = image;

      memcpy (&image, &d64.bytes[4], sizeof (int32_t));

      buf[1] = image;

    }

  else

    {

      memcpy (&image, &d64.bytes[4], sizeof (int32_t));

      buf[0] = image;

      memcpy (&image, &d64.bytes[0], sizeof (int32_t));

      buf[1] = image;

    }

}

/* Decode an IEEE 754 decimal64 type into a real.  */

void

decode_decimal64 (const struct real_format *fmt ATTRIBUTE_UNUSED,

                  REAL_VALUE_TYPE *r, const long *buf)

{

  decNumber dn;

  decimal64 d64;

  decContext set;

  int32_t image;

  decContextDefault (&set, DEC_INIT_DECIMAL128);

  set.traps = 0;

  if (WORDS_BIGENDIAN == FLOAT_WORDS_BIG_ENDIAN)

    {

      image = buf[0];

      memcpy (&d64.bytes[0], &image, sizeof (int32_t));

      image = buf[1];

      memcpy (&d64.bytes[4], &image, sizeof (int32_t));

    }

  else

    {

      image = buf[1];

      memcpy (&d64.bytes[0], &image, sizeof (int32_t));

      image = buf[0];

      memcpy (&d64.bytes[4], &image, sizeof (int32_t));

    }

  decimal64ToNumber (&d64, &dn);

  decimal_from_decnumber (r, &dn, &set);

}

/* Encode a real into an IEEE 754 decimal128 type.  */

void

encode_decimal128 (const struct real_format *fmt ATTRIBUTE_UNUSED,

                   long *buf, const REAL_VALUE_TYPE *r)

{

  decNumber dn;

  decContext set;

  decimal128 d128;

  int32_t image;

  decContextDefault (&set, DEC_INIT_DECIMAL128);

  set.traps = 0;

  decimal_to_decnumber (r, &dn);

  decimal128FromNumber (&d128, &dn, &set);

  if (WORDS_BIGENDIAN == FLOAT_WORDS_BIG_ENDIAN)

    {

      memcpy (&image, &d128.bytes[0], sizeof (int32_t));

      buf[0] = image;

      memcpy (&image, &d128.bytes[4], sizeof (int32_t));

      buf[1] = image;

      memcpy (&image, &d128.bytes[8], sizeof (int32_t));

      buf[2] = image;

      memcpy (&image, &d128.bytes[12], sizeof (int32_t));

      buf[3] = image;

    }

  else

    {

      memcpy (&image, &d128.bytes[12], sizeof (int32_t));

      buf[0] = image;

      memcpy (&image, &d128.bytes[8], sizeof (int32_t));

      buf[1] = image;

      memcpy (&image, &d128.bytes[4], sizeof (int32_t));

      buf[2] = image;

      memcpy (&image, &d128.bytes[0], sizeof (int32_t));

      buf[3] = image;

    }

}

/* Decode an IEEE 754 decimal128 type into a real.  */

void

decode_decimal128 (const struct real_format *fmt ATTRIBUTE_UNUSED,

                   REAL_VALUE_TYPE *r, const long *buf)

{

  decNumber dn;

  decimal128 d128;

  decContext set;

  int32_t image;

  decContextDefault (&set, DEC_INIT_DECIMAL128);

  set.traps = 0;

  if (WORDS_BIGENDIAN == FLOAT_WORDS_BIG_ENDIAN)

    {

      image = buf[0];

      memcpy (&d128.bytes[0],  &image, sizeof (int32_t));

      image = buf[1];

      memcpy (&d128.bytes[4],  &image, sizeof (int32_t));

      image = buf[2];

      memcpy (&d128.bytes[8],  &image, sizeof (int32_t));

      image = buf[3];

      memcpy (&d128.bytes[12], &image, sizeof (int32_t));

    }

  else

    {

      image = buf[3];

      memcpy (&d128.bytes[0],  &image, sizeof (int32_t));

      image = buf[2];

      memcpy (&d128.bytes[4],  &image, sizeof (int32_t));

      image = buf[1];

      memcpy (&d128.bytes[8],  &image, sizeof (int32_t));

      image = buf[0];

      memcpy (&d128.bytes[12], &image, sizeof (int32_t));

    }

  decimal128ToNumber (&d128, &dn);

  decimal_from_decnumber (r, &dn, &set);

}

/* Helper function to convert from a binary real internal

   representation.  */

static void

decimal_to_binary (REAL_VALUE_TYPE *to, const REAL_VALUE_TYPE *from,

                   enum machine_mode mode)

{

  char string[256];

  const decimal128 *const d128 = (const decimal128 *) from->sig;

  decimal128ToString (d128, string);

  real_from_string3 (to, string, mode);

}

/* Helper function to convert from a binary real internal

   representation.  */

static void

decimal_from_binary (REAL_VALUE_TYPE *to, const REAL_VALUE_TYPE *from)

{

  char string[256];

  /* We convert to string, then to decNumber then to decimal128.  */

  real_to_decimal (string, from, sizeof (string), 0, 1);

  decimal_real_from_string (to, string);

}

/* Helper function to real.c:do_compare() to handle decimal internal

   representation including when one of the operands is still in the

   binary internal representation.  */

int

decimal_do_compare (const REAL_VALUE_TYPE *a, const REAL_VALUE_TYPE *b,

                    int nan_result)

{

  decContext set;

  decNumber dn, dn2, dn3;

  REAL_VALUE_TYPE a1, b1;

  /* If either operand is non-decimal, create temporary versions.  */

  if (!a->decimal)

    {

      decimal_from_binary (&a1, a);

      a = &a1;

    }

  if (!b->decimal)

    {

      decimal_from_binary (&b1, b);

      b = &b1;

    }

  /* Convert into decNumber form for comparison operation.  */

  decContextDefault (&set, DEC_INIT_DECIMAL128);

  set.traps = 0;

  decimal128ToNumber ((const decimal128 *) a->sig, &dn2);

  decimal128ToNumber ((const decimal128 *) b->sig, &dn3);

  /* Finally, do the comparison.  */

  decNumberCompare (&dn, &dn2, &dn3, &set);

  /* Return the comparison result.  */

  if (decNumberIsNaN (&dn))

    return nan_result;

  else if (decNumberIsZero (&dn))

    return 0;

  else if (decNumberIsNegative (&dn))

    return -1;

  else

    return 1;

}

/* Helper to round_for_format, handling decimal float types.  */

void

decimal_round_for_format (const struct real_format *fmt, REAL_VALUE_TYPE *r)

{

  decNumber dn;

  decContext set;

  /* Real encoding occurs later.  */

  if (r->cl != rvc_normal)

    return;

  decContextDefault (&set, DEC_INIT_DECIMAL128);

  set.traps = 0;

  decimal128ToNumber ((decimal128 *) r->sig, &dn);

  if (fmt == &decimal_quad_format)

    {

      /* The internal format is already in this format.  */

      return;

    }

  else if (fmt == &decimal_single_format)

    {

      decimal32 d32;

      decContextDefault (&set, DEC_INIT_DECIMAL32);

      set.traps = 0;

      decimal32FromNumber (&d32, &dn, &set);

      decimal32ToNumber (&d32, &dn);

    }

  else if (fmt == &decimal_double_format)

    {

      decimal64 d64;

      decContextDefault (&set, DEC_INIT_DECIMAL64);

      set.traps = 0;

      decimal64FromNumber (&d64, &dn, &set);

      decimal64ToNumber (&d64, &dn);

    }

  else

    gcc_unreachable ();

  decimal_from_decnumber (r, &dn, &set);

}

/* Extend or truncate to a new mode.  Handles conversions between

   binary and decimal types.  */

void

decimal_real_convert (REAL_VALUE_TYPE *r, enum machine_mode mode,

                      const REAL_VALUE_TYPE *a)

{

  const struct real_format *fmt = REAL_MODE_FORMAT (mode);

  if (a->decimal && fmt->b == 10)

    return;

  if (a->decimal)

      decimal_to_binary (r, a, mode);

  else

      decimal_from_binary (r, a);

}

/* Render R_ORIG as a decimal floating point constant.  Emit DIGITS

   significant digits in the result, bounded by BUF_SIZE.  If DIGITS

   is 0, choose the maximum for the representation.  If

   CROP_TRAILING_ZEROS, strip trailing zeros.  Currently, not honoring

   DIGITS or CROP_TRAILING_ZEROS.  */

void

decimal_real_to_decimal (char *str, const REAL_VALUE_TYPE *r_orig,

                         size_t buf_size,

                         size_t digits ATTRIBUTE_UNUSED,

                         int crop_trailing_zeros ATTRIBUTE_UNUSED)

{

  const decimal128 *const d128 = (const decimal128*) r_orig->sig;

  /* decimal128ToString requires space for at least 24 characters;

     Require two more for suffix.  */

  gcc_assert (buf_size >= 24);

  decimal128ToString (d128, str);

}

static bool

decimal_do_add (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,

                const REAL_VALUE_TYPE *op1, int subtract_p)

{

  decNumber dn;

  decContext set;

  decNumber dn2, dn3;

  decimal_to_decnumber (op0, &dn2);

  decimal_to_decnumber (op1, &dn3);

  decContextDefault (&set, DEC_INIT_DECIMAL128);

  set.traps = 0;

  if (subtract_p)

    decNumberSubtract (&dn, &dn2, &dn3, &set);

  else

    decNumberAdd (&dn, &dn2, &dn3, &set);

  decimal_from_decnumber (r, &dn, &set);

  /* Return true, if inexact.  */

  return (set.status & DEC_Inexact);

}

/* Compute R = OP0 * OP1.  */

static bool

decimal_do_multiply (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,

                     const REAL_VALUE_TYPE *op1)

{

  decContext set;

  decNumber dn, dn2, dn3;

  decimal_to_decnumber (op0, &dn2);

  decimal_to_decnumber (op1, &dn3);

  decContextDefault (&set, DEC_INIT_DECIMAL128);

  set.traps = 0;

  decNumberMultiply (&dn, &dn2, &dn3, &set);

  decimal_from_decnumber (r, &dn, &set);

  /* Return true, if inexact.  */

  return (set.status & DEC_Inexact);

}

/* Compute R = OP0 / OP1.  */

static bool

decimal_do_divide (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,

                   const REAL_VALUE_TYPE *op1)

{

  decContext set;

  decNumber dn, dn2, dn3;

  decimal_to_decnumber (op0, &dn2);

  decimal_to_decnumber (op1, &dn3);

  decContextDefault (&set, DEC_INIT_DECIMAL128);

  set.traps = 0;

  decNumberDivide (&dn, &dn2, &dn3, &set);

  decimal_from_decnumber (r, &dn, &set);

  /* Return true, if inexact.  */

  return (set.status & DEC_Inexact);

}

/* Set R to A truncated to an integral value toward zero (decimal

   floating point).  */

void

decimal_do_fix_trunc (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a)

{

  decNumber dn, dn2;

  decContext set;

  decContextDefault (&set, DEC_INIT_DECIMAL128);

  set.traps = 0;

  set.round = DEC_ROUND_DOWN;

  decimal128ToNumber ((const decimal128 *) a->sig, &dn2);

  decNumberToIntegralValue (&dn, &dn2, &set);

  decimal_from_decnumber (r, &dn, &set);

}

/* Render decimal float value R as an integer.  */

HOST_WIDE_INT

decimal_real_to_integer (const REAL_VALUE_TYPE *r)

{

  decContext set;

  decNumber dn, dn2, dn3;

  REAL_VALUE_TYPE to;

  char string[256];

  decContextDefault (&set, DEC_INIT_DECIMAL128);

  set.traps = 0;

  set.round = DEC_ROUND_DOWN;

  decimal128ToNumber ((const decimal128 *) r->sig, &dn);

  decNumberToIntegralValue (&dn2, &dn, &set);

  decNumberZero (&dn3);

  decNumberRescale (&dn, &dn2, &dn3, &set);

  /* Convert to REAL_VALUE_TYPE and call appropriate conversion

     function.  */

  decNumberToString (&dn, string);

  real_from_string (&to, string);

  return real_to_integer (&to);

}

/* Likewise, but to an integer pair, HI+LOW.  */

void

decimal_real_to_integer2 (HOST_WIDE_INT *plow, HOST_WIDE_INT *phigh,

                          const REAL_VALUE_TYPE *r)

{

  decContext set;

  decNumber dn, dn2, dn3;

  REAL_VALUE_TYPE to;

  char string[256];

  decContextDefault (&set, DEC_INIT_DECIMAL128);

  set.traps = 0;

  set.round = DEC_ROUND_DOWN;

  decimal128ToNumber ((const decimal128 *) r->sig, &dn);

  decNumberToIntegralValue (&dn2, &dn, &set);

  decNumberZero (&dn3);

  decNumberRescale (&dn, &dn2, &dn3, &set);

  /* Convert to REAL_VALUE_TYPE and call appropriate conversion

     function.  */

  decNumberToString (&dn, string);

  real_from_string (&to, string);

  real_to_integer2 (plow, phigh, &to);

}

/* Perform the decimal floating point operation described by CODE.

   For a unary operation, OP1 will be NULL.  This function returns

   true if the result may be inexact due to loss of precision.  */

bool

decimal_real_arithmetic (REAL_VALUE_TYPE *r, enum tree_code code,

                         const REAL_VALUE_TYPE *op0,

                         const REAL_VALUE_TYPE *op1)

{

  REAL_VALUE_TYPE a, b;

  /* If either operand is non-decimal, create temporaries.  */

  if (!op0->decimal)

    {

      decimal_from_binary (&a, op0);

      op0 = &a;

    }

  if (op1 && !op1->decimal)

    {

      decimal_from_binary (&b, op1);

      op1 = &b;

    }

  switch (code)

    {

    case PLUS_EXPR:

      return decimal_do_add (r, op0, op1, 0);

    case MINUS_EXPR:

      return decimal_do_add (r, op0, op1, 1);

    case MULT_EXPR:

      return decimal_do_multiply (r, op0, op1);

    case RDIV_EXPR:

      return decimal_do_divide (r, op0, op1);

    case MIN_EXPR:

      if (op1->cl == rvc_nan)

        *r = *op1;

      else if (real_compare (UNLT_EXPR, op0, op1))

        *r = *op0;

      else

        *r = *op1;

      return false;

    case MAX_EXPR:

      if (op1->cl == rvc_nan)

        *r = *op1;

      else if (real_compare (LT_EXPR, op0, op1))