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  1. /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */
  2. /* s_asinhf.c -- float version of s_asinh.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: s_asinhf.c,v 1.2 1994/08/18 23:06:21 jtc Exp $";
  19. #endif
  20.  
  21. #include "math.h"
  22. #include "math_private.h"
  23.  
  24. #ifdef __STDC__
  25. static const float
  26. #else
  27. static float
  28. #endif
  29. one =  1.0000000000e+00, /* 0x3F800000 */
  30. ln2 =  6.9314718246e-01, /* 0x3f317218 */
  31. huge=  1.0000000000e+30;
  32.  
  33. #ifdef __STDC__
  34.         float asinhf(float x)
  35. #else
  36.         float asinhf(x)
  37.         float x;
  38. #endif
  39. {      
  40.         float t,w;
  41.         int32_t hx,ix;
  42.         GET_FLOAT_WORD(hx,x);
  43.         ix = hx&0x7fffffff;
  44.         if(ix>=0x7f800000) return x+x;  /* x is inf or NaN */
  45.         if(ix< 0x31800000) {    /* |x|<2**-28 */
  46.             if(huge+x>one) return x;    /* return x inexact except 0 */
  47.         }
  48.         if(ix>0x4d800000) {     /* |x| > 2**28 */
  49.             w = __ieee754_logf(fabsf(x))+ln2;
  50.         } else if (ix>0x40000000) {     /* 2**28 > |x| > 2.0 */
  51.             t = fabsf(x);
  52.             w = __ieee754_logf((float)2.0*t+one/(sqrtf(x*x+one)+t));
  53.         } else {                /* 2.0 > |x| > 2**-28 */
  54.             t = x*x;
  55.             w =log1pf(fabsf(x)+t/(one+sqrtf(one+t)));
  56.         }
  57.         if(hx>0) return w; else return -w;
  58. }
  59.