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-rw-r--r--math/s_ctanhl.c132
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diff --git a/math/s_ctanhl.c b/math/s_ctanhl.c
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-/* Complex hyperbole tangent for long double.
- Copyright (C) 1997-2016 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 <math.h>
-#include <math_private.h>
-#include <float.h>
-
-/* To avoid spurious underflows, use this definition to treat IBM long
- double as approximating an IEEE-style format. */
-#if LDBL_MANT_DIG == 106
-# undef LDBL_EPSILON
-# define LDBL_EPSILON 0x1p-106L
-#endif
-
-__complex__ long double
-__ctanhl (__complex__ long double x)
-{
- __complex__ long double res;
-
- if (__glibc_unlikely (!isfinite (__real__ x) || !isfinite (__imag__ x)))
- {
- if (isinf (__real__ x))
- {
- __real__ res = __copysignl (1.0, __real__ x);
- if (isfinite (__imag__ x) && fabsl (__imag__ x) > 1.0L)
- {
- long double sinix, cosix;
- __sincosl (__imag__ x, &sinix, &cosix);
- __imag__ res = __copysignl (0.0L, sinix * cosix);
- }
- else
- __imag__ res = __copysignl (0.0, __imag__ x);
- }
- else if (__imag__ x == 0.0)
- {
- res = x;
- }
- else
- {
- __real__ res = __nanl ("");
- __imag__ res = __nanl ("");
-
- if (isinf (__imag__ x))
- feraiseexcept (FE_INVALID);
- }
- }
- 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). */
-
- if (__glibc_likely (fabsl (__imag__ x) > LDBL_MIN))
- {
- __sincosl (__imag__ x, &sinix, &cosix);
- }
- else
- {
- sinix = __imag__ x;
- cosix = 1.0;
- }
-
- 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, coshrx;
- if (fabsl (__real__ x) > LDBL_MIN)
- {
- sinhrx = __ieee754_sinhl (__real__ x);
- coshrx = __ieee754_coshl (__real__ x);
- }
- else
- {
- sinhrx = __real__ x;
- coshrx = 1.0L;
- }
-
- if (fabsl (sinhrx) > fabsl (cosix) * LDBL_EPSILON)
- den = sinhrx * sinhrx + cosix * cosix;
- else
- den = cosix * cosix;
- __real__ res = sinhrx * coshrx / den;
- __imag__ res = sinix * cosix / den;
- }
- math_check_force_underflow_complex (res);
- }
-
- return res;
-}
-weak_alias (__ctanhl, ctanhl)