csinhl.c revision ddc0e0b53c661f6e439e3b7072b3ef353eadb4af
125c28e8Piotr Jasiukajtis/*
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525c28e8Piotr Jasiukajtis * Common Development and Distribution License (the "License").
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725c28e8Piotr Jasiukajtis *
825c28e8Piotr Jasiukajtis * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
925c28e8Piotr Jasiukajtis * or http://www.opensolaris.org/os/licensing.
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1125c28e8Piotr Jasiukajtis * and limitations under the License.
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1325c28e8Piotr Jasiukajtis * When distributing Covered Code, include this CDDL HEADER in each
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2125c28e8Piotr Jasiukajtis
2225c28e8Piotr Jasiukajtis/*
2325c28e8Piotr Jasiukajtis * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
2425c28e8Piotr Jasiukajtis */
2525c28e8Piotr Jasiukajtis/*
2625c28e8Piotr Jasiukajtis * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
2725c28e8Piotr Jasiukajtis * Use is subject to license terms.
2825c28e8Piotr Jasiukajtis */
2925c28e8Piotr Jasiukajtis
30ddc0e0bRichard Lowe#pragma weak __csinhl = csinhl
3125c28e8Piotr Jasiukajtis
3225c28e8Piotr Jasiukajtis#include "libm.h"	/* coshl/expl/fabsl/scalbnl/sincosl/sinhl/__k_cexpl */
3325c28e8Piotr Jasiukajtis#include "complex_wrapper.h"
3425c28e8Piotr Jasiukajtis
3525c28e8Piotr Jasiukajtis/* INDENT OFF */
3625c28e8Piotr Jasiukajtisstatic const long double zero = 0.0L, half = 0.5L;
3725c28e8Piotr Jasiukajtis/* INDENT ON */
3825c28e8Piotr Jasiukajtis
3925c28e8Piotr Jasiukajtisldcomplex
4025c28e8Piotr Jasiukajtiscsinhl(ldcomplex z) {
4125c28e8Piotr Jasiukajtis	long double t, x, y, S, C;
4225c28e8Piotr Jasiukajtis	int hx, ix, hy, iy, n;
4325c28e8Piotr Jasiukajtis	ldcomplex ans;
4425c28e8Piotr Jasiukajtis
4525c28e8Piotr Jasiukajtis	x = LD_RE(z);
4625c28e8Piotr Jasiukajtis	y = LD_IM(z);
4725c28e8Piotr Jasiukajtis	hx = HI_XWORD(x);
4825c28e8Piotr Jasiukajtis	ix = hx & 0x7fffffff;
4925c28e8Piotr Jasiukajtis	hy = HI_XWORD(y);
5025c28e8Piotr Jasiukajtis	iy = hy & 0x7fffffff;
5125c28e8Piotr Jasiukajtis	x = fabsl(x);
5225c28e8Piotr Jasiukajtis	y = fabsl(y);
5325c28e8Piotr Jasiukajtis
5425c28e8Piotr Jasiukajtis	(void) sincosl(y, &S, &C);
5525c28e8Piotr Jasiukajtis	if (ix >= 0x4004e000) {	/* |x| > 60 = prec/2 (14,28,34,60) */
5625c28e8Piotr Jasiukajtis		if (ix >= 0x400C62E4) {	/* |x| > 11356.52... ~ log(2**16384) */
5725c28e8Piotr Jasiukajtis			if (ix >= 0x7fff0000) {	/* |x| is inf or NaN */
5825c28e8Piotr Jasiukajtis				if (y == zero) {
5925c28e8Piotr Jasiukajtis					LD_RE(ans) = x;
6025c28e8Piotr Jasiukajtis					LD_IM(ans) = y;
6125c28e8Piotr Jasiukajtis				} else if (iy >= 0x7fff0000) {
6225c28e8Piotr Jasiukajtis					LD_RE(ans) = x;
6325c28e8Piotr Jasiukajtis					LD_IM(ans) = x - y;
6425c28e8Piotr Jasiukajtis				} else {
6525c28e8Piotr Jasiukajtis					LD_RE(ans) = C * x;
6625c28e8Piotr Jasiukajtis					LD_IM(ans) = S * x;
6725c28e8Piotr Jasiukajtis				}
6825c28e8Piotr Jasiukajtis			} else {
6925c28e8Piotr Jasiukajtis				/* return exp(x)=t*2**n */
7025c28e8Piotr Jasiukajtis				t = __k_cexpl(x, &n);
7125c28e8Piotr Jasiukajtis				LD_RE(ans) = scalbnl(C * t, n - 1);
7225c28e8Piotr Jasiukajtis				LD_IM(ans) = scalbnl(S * t, n - 1);
7325c28e8Piotr Jasiukajtis			}
7425c28e8Piotr Jasiukajtis		} else {
7525c28e8Piotr Jasiukajtis			t = expl(x) * half;
7625c28e8Piotr Jasiukajtis			LD_RE(ans) = C * t;
7725c28e8Piotr Jasiukajtis			LD_IM(ans) = S * t;
7825c28e8Piotr Jasiukajtis		}
7925c28e8Piotr Jasiukajtis	} else {
8025c28e8Piotr Jasiukajtis		if (x == zero) {	/* x = 0, return (0,S) */
8125c28e8Piotr Jasiukajtis			LD_RE(ans) = zero;
8225c28e8Piotr Jasiukajtis			LD_IM(ans) = S;
8325c28e8Piotr Jasiukajtis		} else {
8425c28e8Piotr Jasiukajtis			LD_RE(ans) = C * sinhl(x);
8525c28e8Piotr Jasiukajtis			LD_IM(ans) = S * coshl(x);
8625c28e8Piotr Jasiukajtis		}
8725c28e8Piotr Jasiukajtis	}
8825c28e8Piotr Jasiukajtis	if (hx < 0)
8925c28e8Piotr Jasiukajtis		LD_RE(ans) = -LD_RE(ans);
9025c28e8Piotr Jasiukajtis	if (hy < 0)
9125c28e8Piotr Jasiukajtis		LD_IM(ans) = -LD_IM(ans);
9225c28e8Piotr Jasiukajtis	return (ans);
9325c28e8Piotr Jasiukajtis}
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