xref: /device/linaro/bootloader/edk2/StdLib/LibC/Math/e_sinh.c

/* @(#)e_sinh.c 5.1 93/09/24 */
/*
 * ====================================================
 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
 *
 * Developed at SunPro, a Sun Microsystems, Inc. business.
 * Permission to use, copy, modify, and distribute this
 * software is freely granted, provided that this notice
 * is preserved.
 * ====================================================
 */
#include  <LibConfig.h>
#include  <sys/EfiCdefs.h>
#if defined(LIBM_SCCS) && !defined(lint)
__RCSID("$NetBSD: e_sinh.c,v 1.11 2002/05/26 22:01:52 wiz Exp $");
#endif

#include "math.h"
#include "math_private.h"

/* __ieee754_sinh(x)
 * Method :
 * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2
 *  1. Replace x by |x| (sinh(-x) = -sinh(x)).
 *  2.
 *                                        E + E/(E+1)
 *      0        <= x <= 22     :  sinh(x) := --------------, E=expm1(x)
 *                          2
 *
 *      22       <= x <= lnovft :  sinh(x) := exp(x)/2
 *      lnovft   <= x <= ln2ovft:  sinh(x) := exp(x/2)/2 * exp(x/2)
 *      ln2ovft  <  x     :  sinh(x) := x*shuge (overflow)
 *
 * Special cases:
 *  sinh(x) is |x| if x is +INF, -INF, or NaN.
 *  only sinh(0)=0 is exact for finite x.
 */

static const double one = 1.0, shuge = 1.0e307;

double
__ieee754_sinh(double x)
{
  double t,w,h;
  int32_t ix,jx;
  u_int32_t lx;

    /* High word of |x|. */
  GET_HIGH_WORD(jx,x);
  ix = jx&0x7fffffff;

    /* x is INF or NaN */
  if(ix>=0x7ff00000) return x+x;

  h = 0.5;
  if (jx<0) h = -h;
    /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
  if (ix < 0x40360000) {    /* |x|<22 */
      if (ix<0x3e300000)    /* |x|<2**-28 */
    if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
      t = expm1(fabs(x));
      if(ix<0x3ff00000) return h*(2.0*t-t*t/(t+one));
      return h*(t+t/(t+one));
  }

    /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
  if (ix < 0x40862E42)  return h*__ieee754_exp(fabs(x));

    /* |x| in [log(maxdouble), overflowthresold] */
  GET_LOW_WORD(lx,x);
  if (ix<0x408633CE || ((ix==0x408633ce)&&(lx<=(u_int32_t)0x8fb9f87d))) {
      w = __ieee754_exp(0.5*fabs(x));
      t = h*w;
      return t*w;
  }

    /* |x| > overflowthresold, sinh(x) overflow */
  return x*shuge;
}