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Revision 1.10, Thu Oct 9 11:28:31 1997 UTC (26 years, 6 months ago) by lukem
Branch: MAIN
CVS Tags: netbsd-1-4-base, netbsd-1-4-RELEASE, netbsd-1-4-PATCH003, netbsd-1-4-PATCH002, netbsd-1-4-PATCH001, netbsd-1-4, netbsd-1-3-base, netbsd-1-3-RELEASE, netbsd-1-3-PATCH003-CANDIDATE2, netbsd-1-3-PATCH003-CANDIDATE1, netbsd-1-3-PATCH003-CANDIDATE0, netbsd-1-3-PATCH003, netbsd-1-3-PATCH002, netbsd-1-3-PATCH001, netbsd-1-3-BETA, netbsd-1-3
Changes since 1.9: +2 -1 lines 

rcsid facism, WARNSify

/* @(#)e_acosh.c 5.1 93/09/24 */
/*
 * ====================================================
 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
 *
 * Developed at SunPro, a Sun Microsystems, Inc. business.
 * Permission to use, copy, modify, and distribute this
 * software is freely granted, provided that this notice 
 * is preserved.
 * ====================================================
 */

#include <sys/cdefs.h>
#if defined(LIBM_SCCS) && !defined(lint)
__RCSID("$NetBSD: e_acosh.c,v 1.10 1997/10/09 11:28:31 lukem Exp $");
#endif

/* __ieee754_acosh(x)
 * Method :
 *	Based on 
 *		acosh(x) = log [ x + sqrt(x*x-1) ]
 *	we have
 *		acosh(x) := log(x)+ln2,	if x is large; else
 *		acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else
 *		acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1.
 *
 * Special cases:
 *	acosh(x) is NaN with signal if x<1.
 *	acosh(NaN) is NaN without signal.
 */

#include "math.h"
#include "math_private.h"

#ifdef __STDC__
static const double 
#else
static double 
#endif
one	= 1.0,
ln2	= 6.93147180559945286227e-01;  /* 0x3FE62E42, 0xFEFA39EF */

#ifdef __STDC__
	double __ieee754_acosh(double x)
#else
	double __ieee754_acosh(x)
	double x;
#endif
{	
	double t;
	int32_t hx;
	u_int32_t lx;
	EXTRACT_WORDS(hx,lx,x);
	if(hx<0x3ff00000) {		/* x < 1 */
	    return (x-x)/(x-x);
	} else if(hx >=0x41b00000) {	/* x > 2**28 */
	    if(hx >=0x7ff00000) {	/* x is inf of NaN */
	        return x+x;
	    } else 
		return __ieee754_log(x)+ln2;	/* acosh(huge)=log(2x) */
	} else if(((hx-0x3ff00000)|lx)==0) {
	    return 0.0;			/* acosh(1) = 0 */
	} else if (hx > 0x40000000) {	/* 2**28 > x > 2 */
	    t=x*x;
	    return __ieee754_log(2.0*x-one/(x+__ieee754_sqrt(t-one)));
	} else {			/* 1<x<2 */
	    t = x-one;
	    return log1p(t+sqrt(2.0*t+t*t));
	}
}