1.1 --- /dev/null Thu Jan 01 00:00:00 1970 +0000
1.2 +++ b/os/ossrv/genericopenlibs/cstdlib/LMATH/E_SINH.C Fri Jun 15 03:10:57 2012 +0200
1.3 @@ -0,0 +1,79 @@
1.4 +/* E_SINH.C
1.5 + *
1.6 + * Portions Copyright (c) 1993-1999 Nokia Corporation and/or its subsidiary(-ies).
1.7 + * All rights reserved.
1.8 + */
1.9 +
1.10 +
1.11 +/* @(#)e_sinh.c 5.1 93/09/24 */
1.12 +/*
1.13 + * ====================================================
1.14 + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
1.15 + *
1.16 + * Developed at SunPro, a Sun Microsystems, Inc. business.
1.17 + * Permission to use, copy, modify, and distribute this
1.18 + * software is freely granted, provided that this notice
1.19 + * is preserved.
1.20 + * ====================================================
1.21 + */
1.22 +
1.23 +/* __ieee754_sinh(x)
1.24 + * Method :
1.25 + * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2
1.26 + * 1. Replace x by |x| (sinh(-x) = -sinh(x)).
1.27 + * 2.
1.28 + * E + E/(E+1)
1.29 + * 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x)
1.30 + * 2
1.31 + *
1.32 + * 22 <= x <= lnovft : sinh(x) := exp(x)/2
1.33 + * lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2)
1.34 + * ln2ovft < x : sinh(x) := x*shuge (overflow)
1.35 + *
1.36 + * Special cases:
1.37 + * sinh(x) is |x| if x is +INF, -INF, or NaN.
1.38 + * only sinh(0)=0 is exact for finite x.
1.39 + */
1.40 +
1.41 +#include "FDLIBM.H"
1.42 +
1.43 +static const double one = 1.0, shuge = 1.0e307;
1.44 +
1.45 +EXPORT_C double __ieee754_sinh(double x) __SOFTFP
1.46 +{
1.47 + double t,w,h;
1.48 + __int32_t ix,jx;
1.49 + __uint32_t lx;
1.50 +
1.51 + /* High word of |x|. */
1.52 + GET_HIGH_WORD(jx,x);
1.53 + ix = jx&0x7fffffff;
1.54 +
1.55 + /* x is INF or NaN */
1.56 + if(ix>=0x7ff00000) return x+x;
1.57 +
1.58 + h = 0.5;
1.59 + if (jx<0) h = -h;
1.60 + /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
1.61 + if (ix < 0x40360000) { /* |x|<22 */
1.62 + if (ix<0x3e300000) /* |x|<2**-28 */
1.63 + if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
1.64 + t = expm1(fabs(x));
1.65 + if(ix<0x3ff00000) return h*(2.0*t-t*t/(t+one));
1.66 + return h*(t+t/(t+one));
1.67 + }
1.68 +
1.69 + /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
1.70 + if (ix < 0x40862E42) return h*__ieee754_exp(fabs(x));
1.71 +
1.72 + /* |x| in [log(maxdouble), overflowthresold] */
1.73 + GET_LOW_WORD(lx,x);
1.74 + if (ix<0x408633CE || ((ix==0x408633ce)&&(lx<=(__uint32_t)0x8fb9f87d))) {
1.75 + w = __ieee754_exp(0.5*fabs(x));
1.76 + t = h*w;
1.77 + return t*w;
1.78 + }
1.79 +
1.80 + /* |x| > overflowthresold, sinh(x) overflow */
1.81 + return x*shuge;
1.82 +}