File: nexttowardf.c

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/*
 * Copyright © 2005-2014 Rich Felker, et al.
 *
 * Permission is hereby granted, free of charge, to any person obtaining
 * a copy of this software and associated documentation files (the
 * "Software"), to deal in the Software without restriction, including
 * without limitation the rights to use, copy, modify, merge, publish,
 * distribute, sublicense, and/or sell copies of the Software, and to
 * permit persons to whom the Software is furnished to do so, subject to
 * the following conditions:
 *
 * The above copyright notice and this permission notice shall be
 * included in all copies or substantial portions of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
 * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
 * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
 * IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
 * CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
 * TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
 * SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
 */

#include <math.h>
#include <inttypes.h>
#include "local.h"
#include "math_config.h"

// This is only necessary because the implementation of isnan only works
// properly when long double == double.
// See: https://sourceware.org/ml/newlib/2014/msg00684.html
#ifdef _LDBL_EQ_DBL

float
nexttowardf (float x, long double y)
{
  uint32_t ux;
  uint32_t e;

  if (isnan(x) || isnan(y))
    return (long double) x + y;
  if ((long double) x == y)
    return y;
  ux = asuint(x);
  if (x == 0) {
    ux = 1;
    if (signbit(y))
      ux |= 0x80000000;
  } else if ((long double) x < y) {
    if (signbit(x))
      ux--;
    else
      ux++;
  } else {
    if (signbit(x))
      ux++;
    else
      ux--;
  }
  e = ux & 0x7f800000;
  /* raise overflow if ux.value is infinite and x is finite */
  if (e == 0x7f800000) {
    volatile float force_eval;
    force_eval = x + x;
    (void) force_eval;
  }
  /* raise underflow if ux.value is subnormal or zero */
  if (e == 0) {
    volatile float force_eval;
    force_eval = x*x + asfloat(ux)*asfloat(ux);
    (void) force_eval;
  }
  return asfloat(ux);
}

#endif // _LDBL_EQ_DBL