sysdeps/libm-ieee754/e_sinhf.c

   1 /* e_sinhf.c -- float version of e_sinh.c.
   2  * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
   3  */
   4
   5 /*
   6  * ====================================================
   7  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
   8  *
   9  * Developed at SunPro, a Sun Microsystems, Inc. business.
  10  * Permission to use, copy, modify, and distribute this
  11  * software is freely granted, provided that this notice
  12  * is preserved.
  13  * ====================================================
  14  */
  15
  16 #if defined(LIBM_SCCS) && !defined(lint)
  17 static char rcsid[] = "$NetBSD: e_sinhf.c,v 1.4 1995/05/10 20:46:15 jtc Exp $";
  18 #endif
  19
  20 #include "math.h"
  21 #include "math_private.h"
  22
  23 #ifdef __STDC__
  24 static const float one = 1.0, shuge = 1.0e37;
  25 #else
  26 static float one = 1.0, shuge = 1.0e37;
  27 #endif
  28
  29 #ifdef __STDC__
  30         float __ieee754_sinhf(float x)
  31 #else
  32         float __ieee754_sinhf(x)
  33         float x;
  34 #endif
  35 {
  36         float t,w,h;
  37         int32_t ix,jx;
  38
  39         GET_FLOAT_WORD(jx,x);
  40         ix = jx&0x7fffffff;
  41
  42     /* x is INF or NaN */
  43         if(ix>=0x7f800000) return x+x;
  44
  45         h = 0.5;
  46         if (jx<0) h = -h;
  47     /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
  48         if (ix < 0x41b00000) {          /* |x|<22 */
  49             if (ix<0x31800000)          /* |x|<2**-28 */
  50                 if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
  51             t = __expm1f(fabsf(x));
  52             if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one));
  53             return h*(t+t/(t+one));
  54         }
  55
  56     /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
  57         if (ix < 0x42b17180)  return h*__ieee754_expf(fabsf(x));
  58
  59     /* |x| in [log(maxdouble), overflowthresold] */
  60         if (ix<=0x42b2d4fc) {
  61             w = __ieee754_expf((float)0.5*fabsf(x));
  62             t = h*w;
  63             return t*w;
  64         }
  65
  66     /* |x| > overflowthresold, sinh(x) overflow */
  67         return x*shuge;
  68 }