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[/] [openrisc/] [trunk/] [gnu-dev/] [or1k-gcc/] [libquadmath/] [math/] [sinhq.c] - Blame information for rev 740

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1 740 jeremybenn
/* e_sinhl.c -- __float128 version of e_sinh.c.
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 * Conversion to __float128 by Ulrich Drepper,
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 * Cygnus Support, drepper@cygnus.com.
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 */
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/*
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 * ====================================================
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 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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 *
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 * Developed at SunPro, a Sun Microsystems, Inc. business.
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 * Permission to use, copy, modify, and distribute this
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 * software is freely granted, provided that this notice
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 * is preserved.
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 * ====================================================
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 */
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/* Changes for 128-bit __float128 are
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   Copyright (C) 2001 Stephen L. Moshier <moshier@na-net.ornl.gov>
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   and are incorporated herein by permission of the author.  The author
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   reserves the right to distribute this material elsewhere under different
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   copying permissions.  These modifications are distributed here under
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   the following terms:
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    This library is free software; you can redistribute it and/or
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    modify it under the terms of the GNU Lesser General Public
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    License as published by the Free Software Foundation; either
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    version 2.1 of the License, or (at your option) any later version.
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    This library is distributed in the hope that it will be useful,
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    but WITHOUT ANY WARRANTY; without even the implied warranty of
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    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
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    Lesser General Public License for more details.
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    You should have received a copy of the GNU Lesser General Public
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    License along with this library; if not, write to the Free Software
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    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307  USA */
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/* __ieee754_sinhl(x)
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 * Method :
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 * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2
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 *      1. Replace x by |x| (sinhl(-x) = -sinhl(x)).
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 *      2.
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 *                                                   E + E/(E+1)
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 *          0        <= x <= 25     :  sinhl(x) := --------------, E=expm1l(x)
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 *                                                       2
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 *
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 *          25       <= x <= lnovft :  sinhl(x) := expl(x)/2
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 *          lnovft   <= x <= ln2ovft:  sinhl(x) := expl(x/2)/2 * expl(x/2)
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 *          ln2ovft  <  x           :  sinhl(x) := x*shuge (overflow)
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 *
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 * Special cases:
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 *      sinhl(x) is |x| if x is +INF, -INF, or NaN.
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 *      only sinhl(0)=0 is exact for finite x.
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 */
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#include "quadmath-imp.h"
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static const __float128 one = 1.0, shuge = 1.0e4931Q,
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  ovf_thresh = 1.1357216553474703894801348310092223067821E4Q;
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__float128
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sinhq (__float128 x)
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{
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  __float128 t, w, h;
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  uint32_t jx, ix;
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  ieee854_float128 u;
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  /* Words of |x|. */
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  u.value = x;
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  jx = u.words32.w0;
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  ix = jx & 0x7fffffff;
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  /* x is INF or NaN */
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  if (ix >= 0x7fff0000)
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    return x + x;
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  h = 0.5Q;
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  if (jx & 0x80000000)
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    h = -h;
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  /* Absolute value of x.  */
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  u.words32.w0 = ix;
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  /* |x| in [0,40], return sign(x)*0.5*(E+E/(E+1))) */
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  if (ix <= 0x40044000)
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    {
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      if (ix < 0x3fc60000) /* |x| < 2^-57 */
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        if (shuge + x > one)
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          return x;             /* sinh(tiny) = tiny with inexact */
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      t = expm1q (u.value);
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      if (ix < 0x3fff0000)
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        return h * (2.0Q * t - t * t / (t + one));
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      return h * (t + t / (t + one));
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    }
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  /* |x| in [40, log(maxdouble)] return 0.5*exp(|x|) */
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  if (ix <= 0x400c62e3) /* 11356.375 */
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    return h * expq (u.value);
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  /* |x| in [log(maxdouble), overflowthreshold]
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     Overflow threshold is log(2 * maxdouble).  */
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  if (u.value <= ovf_thresh)
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    {
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      w = expq (0.5Q * u.value);
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      t = h * w;
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      return t * w;
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    }
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  /* |x| > overflowthreshold, sinhl(x) overflow */
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  return x * shuge;
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}

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