xref: /titanic_52/usr/src/lib/libm/common/LD/asinhl.c (revision ddc0e0b53c661f6e439e3b7072b3ef353eadb4af)
125c28e83SPiotr Jasiukajtis /*
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2125c28e83SPiotr Jasiukajtis 
2225c28e83SPiotr Jasiukajtis /*
2325c28e83SPiotr Jasiukajtis  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
2425c28e83SPiotr Jasiukajtis  */
2525c28e83SPiotr Jasiukajtis /*
2625c28e83SPiotr Jasiukajtis  * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
2725c28e83SPiotr Jasiukajtis  * Use is subject to license terms.
2825c28e83SPiotr Jasiukajtis  */
2925c28e83SPiotr Jasiukajtis 
30*ddc0e0b5SRichard Lowe #pragma weak __asinhl = asinhl
3125c28e83SPiotr Jasiukajtis 
3225c28e83SPiotr Jasiukajtis #include "libm.h"
3325c28e83SPiotr Jasiukajtis 
3425c28e83SPiotr Jasiukajtis static const long double
3525c28e83SPiotr Jasiukajtis 	ln2	= 6.931471805599453094172321214581765680755e-0001L,
3625c28e83SPiotr Jasiukajtis 	one	= 1.0L,
3725c28e83SPiotr Jasiukajtis 	big	= 1.0e+20L,
3825c28e83SPiotr Jasiukajtis 	tiny	= 1.0e-20L;
3925c28e83SPiotr Jasiukajtis 
4025c28e83SPiotr Jasiukajtis long double
4125c28e83SPiotr Jasiukajtis asinhl(long double x) {
4225c28e83SPiotr Jasiukajtis 	long double t, w;
4325c28e83SPiotr Jasiukajtis #ifndef lint
4425c28e83SPiotr Jasiukajtis 	volatile long double dummy;
4525c28e83SPiotr Jasiukajtis #endif
4625c28e83SPiotr Jasiukajtis 
4725c28e83SPiotr Jasiukajtis 	w = fabsl(x);
4825c28e83SPiotr Jasiukajtis 	if (isnanl(x))
4925c28e83SPiotr Jasiukajtis 		return (x + x);	/* x is NaN */
5025c28e83SPiotr Jasiukajtis 	if (w < tiny) {
5125c28e83SPiotr Jasiukajtis #ifndef lint
5225c28e83SPiotr Jasiukajtis 		dummy = x + big;	/* inexact if x != 0 */
5325c28e83SPiotr Jasiukajtis #endif
5425c28e83SPiotr Jasiukajtis 		return (x);	/* tiny x */
5525c28e83SPiotr Jasiukajtis 	} else if (w < big) {
5625c28e83SPiotr Jasiukajtis 		t = one / w;
5725c28e83SPiotr Jasiukajtis 		return (copysignl(log1pl(w + w / (t + sqrtl(one + t * t))), x));
5825c28e83SPiotr Jasiukajtis 	} else
5925c28e83SPiotr Jasiukajtis 		return (copysignl(logl(w) + ln2, x));
6025c28e83SPiotr Jasiukajtis }
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