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  1. /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */
  2. /* e_sinhf.c -- float version of e_sinh.c.
  3.  * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
  4.  */
  5.  
  6. /*
  7.  * ====================================================
  8.  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
  9.  *
  10.  * Developed at SunPro, a Sun Microsystems, Inc. business.
  11.  * Permission to use, copy, modify, and distribute this
  12.  * software is freely granted, provided that this notice
  13.  * is preserved.
  14.  * ====================================================
  15.  */
  16.  
  17. #if defined(LIBM_SCCS) && !defined(lint)
  18. static char rcsid[] = "$Id: e_sinhf.c,v 1.2 1994/08/18 23:06:04 jtc Exp $";
  19. #endif
  20.  
  21. #include "math.h"
  22. #include "math_private.h"
  23.  
  24. #ifdef __STDC__
  25. static const float one = 1.0, shuge = 1.0e37;
  26. #else
  27. static float one = 1.0, shuge = 1.0e37;
  28. #endif
  29.  
  30. #ifdef __STDC__
  31.         float __ieee754_sinhf(float x)
  32. #else
  33.         float __ieee754_sinhf(x)
  34.         float x;
  35. #endif
  36. {      
  37.         float t,w,h;
  38.         int32_t ix,jx;
  39.  
  40.         GET_FLOAT_WORD(jx,x);
  41.         ix = jx&0x7fffffff;
  42.  
  43.     /* x is INF or NaN */
  44.         if(ix>=0x7f800000) return x+x; 
  45.  
  46.         h = 0.5;
  47.         if (jx<0) h = -h;
  48.     /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
  49.         if (ix < 0x41b00000) {          /* |x|<22 */
  50.             if (ix<0x31800000)          /* |x|<2**-28 */
  51.                 if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
  52.             t = expm1f(fabsf(x));
  53.             if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one));
  54.             return h*(t+t/(t+one));
  55.         }
  56.  
  57.     /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
  58.         if (ix < 0x42b17180)  return h*__ieee754_expf(fabsf(x));
  59.  
  60.     /* |x| in [log(maxdouble), overflowthresold] */
  61.         if (ix<=0x42b2d4fc) {
  62.             w = __ieee754_expf((float)0.5*fabsf(x));
  63.             t = h*w;
  64.             return t*w;
  65.         }
  66.  
  67.     /* |x| > overflowthresold, sinh(x) overflow */
  68.         return x*shuge;
  69. }
  70.