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-rw-r--r--math/s_ctanl.c132
1 files changed, 0 insertions, 132 deletions
diff --git a/math/s_ctanl.c b/math/s_ctanl.c
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-/* Complex tangent function 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
-__ctanl (__complex__ long double x)
-{
- __complex__ long double res;
-
- if (__glibc_unlikely (!isfinite (__real__ x) || !isfinite (__imag__ x)))
- {
- if (isinf (__imag__ x))
- {
- if (isfinite (__real__ x) && fabsl (__real__ x) > 1.0L)
- {
- long double sinrx, cosrx;
- __sincosl (__real__ x, &sinrx, &cosrx);
- __real__ res = __copysignl (0.0L, sinrx * cosrx);
- }
- else
- __real__ res = __copysignl (0.0, __real__ x);
- __imag__ res = __copysignl (1.0, __imag__ x);
- }
- else if (__real__ x == 0.0)
- {
- res = x;
- }
- else
- {
- __real__ res = __nanl ("");
- __imag__ res = __nanl ("");
-
- if (isinf (__real__ x))
- feraiseexcept (FE_INVALID);
- }
- }
- else
- {
- long double sinrx, cosrx;
- long double den;
- const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l / 2);
-
- /* tan(x+iy) = (sin(2x) + i*sinh(2y))/(cos(2x) + cosh(2y))
- = (sin(x)*cos(x) + i*sinh(y)*cosh(y)/(cos(x)^2 + sinh(y)^2). */
-
- if (__glibc_likely (fabsl (__real__ x) > LDBL_MIN))
- {
- __sincosl (__real__ x, &sinrx, &cosrx);
- }
- else
- {
- sinrx = __real__ x;
- cosrx = 1.0;
- }
-
- if (fabsl (__imag__ x) > t)
- {
- /* Avoid intermediate overflow when the real part of the
- result may be subnormal. Ignoring negligible terms, the
- imaginary part is +/- 1, the real part is
- sin(x)*cos(x)/sinh(y)^2 = 4*sin(x)*cos(x)/exp(2y). */
- long double exp_2t = __ieee754_expl (2 * t);
-
- __imag__ res = __copysignl (1.0, __imag__ x);
- __real__ res = 4 * sinrx * cosrx;
- __imag__ x = fabsl (__imag__ x);
- __imag__ x -= t;
- __real__ res /= exp_2t;
- if (__imag__ x > t)
- {
- /* Underflow (original imaginary part of x has absolute
- value > 2t). */
- __real__ res /= exp_2t;
- }
- else
- __real__ res /= __ieee754_expl (2 * __imag__ x);
- }
- else
- {
- long double sinhix, coshix;
- if (fabsl (__imag__ x) > LDBL_MIN)
- {
- sinhix = __ieee754_sinhl (__imag__ x);
- coshix = __ieee754_coshl (__imag__ x);
- }
- else
- {
- sinhix = __imag__ x;
- coshix = 1.0L;
- }
-
- if (fabsl (sinhix) > fabsl (cosrx) * LDBL_EPSILON)
- den = cosrx * cosrx + sinhix * sinhix;
- else
- den = cosrx * cosrx;
- __real__ res = sinrx * cosrx / den;
- __imag__ res = sinhix * coshix / den;
- }
- math_check_force_underflow_complex (res);
- }
-
- return res;
-}
-weak_alias (__ctanl, ctanl)