csinhl.c revision 25c28e83beb90e7c80452a7c818c5e6f73a07dc8
/*
* CDDL HEADER START
*
* The contents of this file are subject to the terms of the
* Common Development and Distribution License (the "License").
* You may not use this file except in compliance with the License.
*
* You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
* or http://www.opensolaris.org/os/licensing.
* See the License for the specific language governing permissions
* and limitations under the License.
*
* When distributing Covered Code, include this CDDL HEADER in each
* file and include the License file at usr/src/OPENSOLARIS.LICENSE.
* If applicable, add the following below this CDDL HEADER, with the
* fields enclosed by brackets "[]" replaced with your own identifying
* information: Portions Copyright [yyyy] [name of copyright owner]
*
* CDDL HEADER END
*/
/*
* Copyright 2011 Nexenta Systems, Inc. All rights reserved.
*/
/*
* Copyright 2006 Sun Microsystems, Inc. All rights reserved.
* Use is subject to license terms.
*/
#pragma weak csinhl = __csinhl
#include "libm.h" /* coshl/expl/fabsl/scalbnl/sincosl/sinhl/__k_cexpl */
#include "complex_wrapper.h"
/* INDENT OFF */
static const long double zero = 0.0L, half = 0.5L;
/* INDENT ON */
ldcomplex
csinhl(ldcomplex z) {
long double t, x, y, S, C;
int hx, ix, hy, iy, n;
ldcomplex ans;
x = LD_RE(z);
y = LD_IM(z);
hx = HI_XWORD(x);
ix = hx & 0x7fffffff;
hy = HI_XWORD(y);
iy = hy & 0x7fffffff;
x = fabsl(x);
y = fabsl(y);
(void) sincosl(y, &S, &C);
if (ix >= 0x4004e000) { /* |x| > 60 = prec/2 (14,28,34,60) */
if (ix >= 0x400C62E4) { /* |x| > 11356.52... ~ log(2**16384) */
if (ix >= 0x7fff0000) { /* |x| is inf or NaN */
if (y == zero) {
LD_RE(ans) = x;
LD_IM(ans) = y;
} else if (iy >= 0x7fff0000) {
LD_RE(ans) = x;
LD_IM(ans) = x - y;
} else {
LD_RE(ans) = C * x;
LD_IM(ans) = S * x;
}
} else {
/* return exp(x)=t*2**n */
t = __k_cexpl(x, &n);
LD_RE(ans) = scalbnl(C * t, n - 1);
LD_IM(ans) = scalbnl(S * t, n - 1);
}
} else {
t = expl(x) * half;
LD_RE(ans) = C * t;
LD_IM(ans) = S * t;
}
} else {
if (x == zero) { /* x = 0, return (0,S) */
LD_RE(ans) = zero;
LD_IM(ans) = S;
} else {
LD_RE(ans) = C * sinhl(x);
LD_IM(ans) = S * coshl(x);
}
}
if (hx < 0)
LD_RE(ans) = -LD_RE(ans);
if (hy < 0)
LD_IM(ans) = -LD_IM(ans);
return (ans);
}