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/* $NetBSD: casinl.c,v 1.1 2014/10/10 00:48:18 christos Exp $ */
/*-
* Copyright (c) 2007 The NetBSD Foundation, Inc.
* All rights reserved.
*
* This code is derived from software written by Stephen L. Moshier.
* It is redistributed by the NetBSD Foundation by permission of the author.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
*
* THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
* ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
* TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
* BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
*/
#include <complex.h>
#include <math.h>
#ifdef __weak_alias
__weak_alias(casinl, _casinl)
#endif
long double complex
casinl(long double complex z)
{
long double complex w;
long double complex ca, ct, zz, z2;
long double x, y;
x = creall(z);
y = cimagl(z);
#if 0 /* MD: test is incorrect, casin(>1) is defined */
if (y == 0.0L) {
if (fabsl(x) > 1.0L) {
w = M_PI_2L + 0.0L * I;
#if 0
mtherr ("casinl", DOMAIN);
#endif
} else {
w = asinl(x) + 0.0L * I;
}
return w;
}
#endif
/* Power series expansion */
/*
b = cabsl(z);
if( b < 0.125L )
{
z2.r = (x - y) * (x + y);
z2.i = 2.0L * x * y;
cn = 1.0L;
n = 1.0L;
ca.r = x;
ca.i = y;
sum.r = x;
sum.i = y;
do
{
ct.r = z2.r * ca.r - z2.i * ca.i;
ct.i = z2.r * ca.i + z2.i * ca.r;
ca.r = ct.r;
ca.i = ct.i;
cn *= n;
n += 1.0;
cn /= n;
n += 1.0;
b = cn/n;
ct.r *= b;
ct.i *= b;
sum.r += ct.r;
sum.i += ct.i;
b = fabsl(ct.r) + fabsl(ct.i);
}
while( b > MACHEPL );
w->r = sum.r;
w->i = sum.i;
return;
}
*/
ca = x + y * I;
ct = ca * I;
/* sqrtl( 1 - z*z) */
/* cmull( &ca, &ca, &zz ) */
/*x * x - y * y */
zz = (x - y) * (x + y) + (2.0L * x * y) * I;
zz = 1.0L - creall(zz) - cimagl(zz) * I;
z2 = csqrtl(zz);
zz = ct + z2;
zz = clogl(zz);
/* multiply by 1/i = -i */
w = zz * (-1.0L * I);
return w;
}
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