mirror of
https://sourceware.org/git/glibc.git
synced 2024-12-04 19:00:09 +00:00
108 lines
3.1 KiB
C
108 lines
3.1 KiB
C
/* Complex hyperbole tangent for long double. IBM extended format version.
|
|
Copyright (C) 1997-2012 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, see
|
|
<http://www.gnu.org/licenses/>. */
|
|
|
|
#include <complex.h>
|
|
#include <fenv.h>
|
|
#include <float.h>
|
|
#include <math.h>
|
|
#include <math_ldbl_opt.h>
|
|
|
|
#include <math_private.h>
|
|
|
|
|
|
__complex__ long double
|
|
__ctanhl (__complex__ long double x)
|
|
{
|
|
__complex__ long double res;
|
|
|
|
if (!isfinite (__real__ x) || !isfinite (__imag__ x))
|
|
{
|
|
if (__isinfl (__real__ x))
|
|
{
|
|
__real__ res = __copysignl (1.0, __real__ x);
|
|
__imag__ res = __copysignl (0.0, __imag__ x);
|
|
}
|
|
else if (__imag__ x == 0.0)
|
|
{
|
|
res = x;
|
|
}
|
|
else
|
|
{
|
|
__real__ res = __nanl ("");
|
|
__imag__ res = __nanl ("");
|
|
|
|
#ifdef FE_INVALID
|
|
if (__isinfl (__imag__ x))
|
|
feraiseexcept (FE_INVALID);
|
|
#endif
|
|
}
|
|
}
|
|
else
|
|
{
|
|
long double sinix, cosix;
|
|
long double den;
|
|
const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l / 2);
|
|
|
|
/* tanh(x+iy) = (sinh(2x) + i*sin(2y))/(cosh(2x) + cos(2y))
|
|
= (sinh(x)*cosh(x) + i*sin(y)*cos(y))/(sinh(x)^2 + cos(y)^2). */
|
|
|
|
__sincosl (__imag__ x, &sinix, &cosix);
|
|
|
|
if (fabsl (__real__ x) > t)
|
|
{
|
|
/* Avoid intermediate overflow when the imaginary part of
|
|
the result may be subnormal. Ignoring negligible terms,
|
|
the real part is +/- 1, the imaginary part is
|
|
sin(y)*cos(y)/sinh(x)^2 = 4*sin(y)*cos(y)/exp(2x). */
|
|
long double exp_2t = __ieee754_expl (2 * t);
|
|
__real__ res = __copysignl (1.0, __real__ x);
|
|
__imag__ res = 4 * sinix * cosix;
|
|
__real__ x = fabsl (__real__ x);
|
|
__real__ x -= t;
|
|
__imag__ res /= exp_2t;
|
|
if (__real__ x > t)
|
|
{
|
|
/* Underflow (original real part of x has absolute value
|
|
> 2t). */
|
|
__imag__ res /= exp_2t;
|
|
}
|
|
else
|
|
__imag__ res /= __ieee754_expl (2 * __real__ x);
|
|
}
|
|
else
|
|
{
|
|
long double sinhrx = __ieee754_sinhl (__real__ x);
|
|
long double coshrx = __ieee754_coshl (__real__ x);
|
|
|
|
den = sinhrx * sinhrx + cosix * cosix;
|
|
__real__ res = sinhrx * coshrx / den;
|
|
__imag__ res = sinix * cosix / den;
|
|
}
|
|
/* __gcc_qmul does not respect -0.0 so we need the following fixup. */
|
|
if ((__real__ res == 0.0) && (__real__ x == 0.0))
|
|
__real__ res = __real__ x;
|
|
|
|
if ((__real__ res == 0.0) && (__imag__ x == 0.0))
|
|
__imag__ res = __imag__ x;
|
|
}
|
|
|
|
return res;
|
|
}
|
|
long_double_symbol (libm, __ctanhl, ctanhl);
|