97 lines
2.6 KiB
C
97 lines
2.6 KiB
C
/* Return arc hyperbole cosine for float value.
|
|
Copyright (C) 1997, 2006, 2011 Free Software Foundation, Inc.
|
|
This file is part of the GNU C Library.
|
|
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
|
|
|
|
The GNU C Library is free software; you can redistribute it and/or
|
|
modify it under the terms of the GNU Lesser General Public
|
|
License as published by the Free Software Foundation; either
|
|
version 2.1 of the License, or (at your option) any later version.
|
|
|
|
The GNU C Library is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
|
Lesser General Public License for more details.
|
|
|
|
You should have received a copy of the GNU Lesser General Public
|
|
License along with the GNU C Library; if not, write to the Free
|
|
Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
|
|
02111-1307 USA. */
|
|
|
|
#include <complex.h>
|
|
#include <math.h>
|
|
|
|
#include <math_private.h>
|
|
|
|
__complex__ float
|
|
__cacoshf (__complex__ float x)
|
|
{
|
|
__complex__ float res;
|
|
int rcls = fpclassify (__real__ x);
|
|
int icls = fpclassify (__imag__ x);
|
|
|
|
if (rcls <= FP_INFINITE || icls <= FP_INFINITE)
|
|
{
|
|
if (icls == FP_INFINITE)
|
|
{
|
|
__real__ res = HUGE_VALF;
|
|
|
|
if (rcls == FP_NAN)
|
|
__imag__ res = __nanf ("");
|
|
else
|
|
__imag__ res = __copysignf ((rcls == FP_INFINITE
|
|
? (__real__ x < 0.0
|
|
? M_PI - M_PI_4 : M_PI_4)
|
|
: M_PI_2), __imag__ x);
|
|
}
|
|
else if (rcls == FP_INFINITE)
|
|
{
|
|
__real__ res = HUGE_VALF;
|
|
|
|
if (icls >= FP_ZERO)
|
|
__imag__ res = __copysignf (signbit (__real__ x) ? M_PI : 0.0,
|
|
__imag__ x);
|
|
else
|
|
__imag__ res = __nanf ("");
|
|
}
|
|
else
|
|
{
|
|
__real__ res = __nanf ("");
|
|
__imag__ res = __nanf ("");
|
|
}
|
|
}
|
|
else if (rcls == FP_ZERO && icls == FP_ZERO)
|
|
{
|
|
__real__ res = 0.0;
|
|
__imag__ res = __copysignf (M_PI_2, __imag__ x);
|
|
}
|
|
/* The factor 16 is just a guess. */
|
|
else if (16.0 * fabsf (__imag__ x) < fabsf (__real__ x))
|
|
/* Kahan's formula which avoid cancellation through subtraction in
|
|
some cases. */
|
|
res = 2.0 * __clogf (__csqrtf ((x + 1.0) / 2.0)
|
|
+ __csqrtf ((x - 1.0) / 2.0));
|
|
else
|
|
{
|
|
__complex__ float y;
|
|
|
|
__real__ y = (__real__ x - __imag__ x) * (__real__ x + __imag__ x) - 1.0;
|
|
__imag__ y = 2.0 * __real__ x * __imag__ x;
|
|
|
|
y = __csqrtf (y);
|
|
|
|
if (signbit (__real__ x))
|
|
y = -y;
|
|
|
|
__real__ y += __real__ x;
|
|
__imag__ y += __imag__ x;
|
|
|
|
res = __clogf (y);
|
|
}
|
|
|
|
return res;
|
|
}
|
|
#ifndef __cacoshf
|
|
weak_alias (__cacoshf, cacoshf)
|
|
#endif
|