diff options
Diffstat (limited to 'lib/msun/src/e_acosh.c')
| -rw-r--r-- | lib/msun/src/e_acosh.c | 69 | 
1 files changed, 69 insertions, 0 deletions
diff --git a/lib/msun/src/e_acosh.c b/lib/msun/src/e_acosh.c new file mode 100644 index 000000000000..434e879fdaab --- /dev/null +++ b/lib/msun/src/e_acosh.c @@ -0,0 +1,69 @@ +/* @(#)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. + * ==================================================== + */ + +#ifndef lint +static char rcsid[] = "$FreeBSD$"; +#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+__ieee754_sqrt(2.0*t+t*t)); +	} +}  | 
