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expm1.c

/**
 * This file has no copyright assigned and is placed in the Public Domain.
 * This file is part of the w64 mingw-runtime package.
 * No warranty is given; refer to the file DISCLAIMER.PD within this package.
 */
/*
 * Written 2005 by Gregory W. Chicares <chicares@cox.net>.
 * Adapted to double by Danny Smith <dannysmith@users.sourceforge.net>. 
 * Public domain.
 *
 * F2XM1's input is constrained to (-1, +1), so the domain of
 * 'x * LOG2EL' is (-LOGE2L, +LOGE2L). Outside that domain,
 * delegating to exp() handles C99 7.12.6.3/2 range errors.
 *
 * Constants from moshier.net, file cephes/ldouble/constl.c,
 * are used instead of M_LN2 and M_LOG2E, which would not be
 * visible with 'gcc std=c99'.  The use of these extended precision
 * constants also allows gcc to replace them with x87 opcodes.
 */

#include <math.h> /* expl() */
#include "cephes_mconf.h"
double expm1 (double x)
{
  if (fabs(x) < LOGE2L)
    {
      x *= LOG2EL;
      __asm__ __volatile__ ("f2xm1" : "=t" (x) : "0" (x));
      return x;
    }
  else
    return exp(x) - 1.0;
}

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