1 /* s_asinhf.c -- float version of s_asinh.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 #include <sys/cdefs.h> 17 __FBSDID("$FreeBSD$"); 18 19 #include "math.h" 20 #include "math_private.h" 21 22 static const float 23 one = 1.0000000000e+00, /* 0x3F800000 */ 24 ln2 = 6.9314718246e-01, /* 0x3f317218 */ 25 huge= 1.0000000000e+30; 26 27 float 28 asinhf(float x) 29 { 30 float t,w; 31 int32_t hx,ix; 32 GET_FLOAT_WORD(hx,x); 33 ix = hx&0x7fffffff; 34 if(ix>=0x7f800000) return x+x; /* x is inf or NaN */ 35 if(ix< 0x31800000) { /* |x|<2**-28 */ 36 if(huge+x>one) return x; /* return x inexact except 0 */ 37 } 38 if(ix>0x4d800000) { /* |x| > 2**28 */ 39 w = __ieee754_logf(fabsf(x))+ln2; 40 } else if (ix>0x40000000) { /* 2**28 > |x| > 2.0 */ 41 t = fabsf(x); 42 w = __ieee754_logf((float)2.0*t+one/(__ieee754_sqrtf(x*x+one)+t)); 43 } else { /* 2.0 > |x| > 2**-28 */ 44 t = x*x; 45 w =log1pf(fabsf(x)+t/(one+__ieee754_sqrtf(one+t))); 46 } 47 if(hx>0) return w; else return -w; 48 } 49