/* Return arc hyperbole cosine for double value.
- Copyright (C) 1997, 2006, 2011 Free Software Foundation, Inc.
+ Copyright (C) 1997-2015 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
__real__ res = 0.0;
__imag__ res = __copysign (M_PI_2, __imag__ x);
}
- /* The factor 16 is just a guess. */
- else if (16.0 * fabs (__imag__ x) < fabs (__real__ x))
- /* Kahan's formula which avoid cancellation through subtraction in
- some cases. */
- res = 2.0 * __clog (__csqrt ((x + 1.0) / 2.0) + __csqrt ((x - 1.0) / 2.0));
else
{
__complex__ double y;
- __real__ y = (__real__ x - __imag__ x) * (__real__ x + __imag__ x) - 1.0;
- __imag__ y = 2.0 * __real__ x * __imag__ x;
+ __real__ y = -__imag__ x;
+ __imag__ y = __real__ x;
- y = __csqrt (y);
+ y = __kernel_casinh (y, 1);
- if (signbit (__real__ x))
- y = -y;
-
- __real__ y += __real__ x;
- __imag__ y += __imag__ x;
-
- res = __clog (y);
+ if (signbit (__imag__ x))
+ {
+ __real__ res = __real__ y;
+ __imag__ res = -__imag__ y;
+ }
+ else
+ {
+ __real__ res = -__real__ y;
+ __imag__ res = __imag__ y;
+ }
}
return res;