12116Sjkh/* s_asinhf.c -- float version of s_asinh.c.
22116Sjkh * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
32116Sjkh */
42116Sjkh
52116Sjkh/*
62116Sjkh * ====================================================
72116Sjkh * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
82116Sjkh *
92116Sjkh * Developed at SunPro, a Sun Microsystems, Inc. business.
102116Sjkh * Permission to use, copy, modify, and distribute this
118870Srgrimes * software is freely granted, provided that this notice
122116Sjkh * is preserved.
132116Sjkh * ====================================================
142116Sjkh */
152116Sjkh
16176451Sdas#include <sys/cdefs.h>
17176451Sdas__FBSDID("$FreeBSD$");
182116Sjkh
192116Sjkh#include "math.h"
202116Sjkh#include "math_private.h"
212116Sjkh
228870Srgrimesstatic const float
232116Sjkhone =  1.0000000000e+00, /* 0x3F800000 */
242116Sjkhln2 =  6.9314718246e-01, /* 0x3f317218 */
258870Srgrimeshuge=  1.0000000000e+30;
262116Sjkh
2797413Salfredfloat
2897413Salfredasinhf(float x)
298870Srgrimes{
302116Sjkh	float t,w;
312116Sjkh	int32_t hx,ix;
322116Sjkh	GET_FLOAT_WORD(hx,x);
332116Sjkh	ix = hx&0x7fffffff;
342116Sjkh	if(ix>=0x7f800000) return x+x;	/* x is inf or NaN */
352116Sjkh	if(ix< 0x31800000) {	/* |x|<2**-28 */
362116Sjkh	    if(huge+x>one) return x;	/* return x inexact except 0 */
378870Srgrimes	}
382116Sjkh	if(ix>0x4d800000) {	/* |x| > 2**28 */
392116Sjkh	    w = __ieee754_logf(fabsf(x))+ln2;
402116Sjkh	} else if (ix>0x40000000) {	/* 2**28 > |x| > 2.0 */
412116Sjkh	    t = fabsf(x);
4223579Sbde	    w = __ieee754_logf((float)2.0*t+one/(__ieee754_sqrtf(x*x+one)+t));
432116Sjkh	} else {		/* 2.0 > |x| > 2**-28 */
442116Sjkh	    t = x*x;
4523579Sbde	    w =log1pf(fabsf(x)+t/(one+__ieee754_sqrtf(one+t)));
462116Sjkh	}
472116Sjkh	if(hx>0) return w; else return -w;
482116Sjkh}
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