e_acoshf.c revision 8870
12116Sjkh/* e_acoshf.c -- float version of e_acosh.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
162116Sjkh#ifndef lint
178870Srgrimesstatic char rcsid[] = "$Id: e_acoshf.c,v 1.1.1.1 1994/08/19 09:39:44 jkh Exp $";
182116Sjkh#endif
192116Sjkh
202116Sjkh#include "math.h"
212116Sjkh#include "math_private.h"
222116Sjkh
232116Sjkh#ifdef __STDC__
248870Srgrimesstatic const float
252116Sjkh#else
268870Srgrimesstatic float
272116Sjkh#endif
282116Sjkhone	= 1.0,
292116Sjkhln2	= 6.9314718246e-01;  /* 0x3f317218 */
302116Sjkh
312116Sjkh#ifdef __STDC__
322116Sjkh	float __ieee754_acoshf(float x)
332116Sjkh#else
342116Sjkh	float __ieee754_acoshf(x)
352116Sjkh	float x;
362116Sjkh#endif
378870Srgrimes{
382116Sjkh	float t;
392116Sjkh	int32_t hx;
402116Sjkh	GET_FLOAT_WORD(hx,x);
412116Sjkh	if(hx<0x3f800000) {		/* x < 1 */
422116Sjkh	    return (x-x)/(x-x);
432116Sjkh	} else if(hx >=0x4d800000) {	/* x > 2**28 */
442116Sjkh	    if(hx >=0x7f800000) {	/* x is inf of NaN */
452116Sjkh	        return x+x;
468870Srgrimes	    } else
472116Sjkh		return __ieee754_logf(x)+ln2;	/* acosh(huge)=log(2x) */
482116Sjkh	} else if (hx==0x3f800000) {
492116Sjkh	    return 0.0;			/* acosh(1) = 0 */
502116Sjkh	} else if (hx > 0x40000000) {	/* 2**28 > x > 2 */
512116Sjkh	    t=x*x;
522116Sjkh	    return __ieee754_logf((float)2.0*x-one/(x+sqrtf(t-one)));
532116Sjkh	} else {			/* 1<x<2 */
542116Sjkh	    t = x-one;
552116Sjkh	    return log1pf(t+sqrtf((float)2.0*t+t*t));
562116Sjkh	}
572116Sjkh}
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