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126 lines
3.4 KiB
C
126 lines
3.4 KiB
C
/* Complex cosine hyperbole function for long double.
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Copyright (C) 1997-2012 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, see
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<http://www.gnu.org/licenses/>. */
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#include <complex.h>
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#include <fenv.h>
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#include <math.h>
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#include <math_private.h>
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#include <float.h>
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__complex__ long double
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__ccoshl (__complex__ long double x)
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{
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__complex__ long double retval;
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int rcls = fpclassify (__real__ x);
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int icls = fpclassify (__imag__ x);
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if (__builtin_expect (rcls >= FP_ZERO, 1))
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{
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/* Real part is finite. */
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if (__builtin_expect (icls >= FP_ZERO, 1))
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{
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/* Imaginary part is finite. */
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const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l);
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long double sinix, cosix;
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__sincosl (__imag__ x, &sinix, &cosix);
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if (fabsl (__real__ x) > t)
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{
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long double exp_t = __ieee754_expl (t);
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long double rx = fabsl (__real__ x);
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if (signbit (__real__ x))
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sinix = -sinix;
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rx -= t;
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sinix *= exp_t / 2.0L;
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cosix *= exp_t / 2.0L;
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if (rx > t)
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{
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rx -= t;
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sinix *= exp_t;
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cosix *= exp_t;
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}
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if (rx > t)
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{
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/* Overflow (original real part of x > 3t). */
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__real__ retval = LDBL_MAX * cosix;
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__imag__ retval = LDBL_MAX * sinix;
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}
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else
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{
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long double exp_val = __ieee754_expl (rx);
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__real__ retval = exp_val * cosix;
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__imag__ retval = exp_val * sinix;
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}
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}
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else
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{
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__real__ retval = __ieee754_coshl (__real__ x) * cosix;
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__imag__ retval = __ieee754_sinhl (__real__ x) * sinix;
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}
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}
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else
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{
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__imag__ retval = __real__ x == 0.0 ? 0.0 : __nanl ("");
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__real__ retval = __nanl ("") + __nanl ("");
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if (icls == FP_INFINITE)
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feraiseexcept (FE_INVALID);
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}
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}
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else if (__builtin_expect (rcls == FP_INFINITE, 1))
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{
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/* Real part is infinite. */
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if (__builtin_expect (icls > FP_ZERO, 1))
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{
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/* Imaginary part is finite. */
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long double sinix, cosix;
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__sincosl (__imag__ x, &sinix, &cosix);
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__real__ retval = __copysignl (HUGE_VALL, cosix);
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__imag__ retval = (__copysignl (HUGE_VALL, sinix)
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* __copysignl (1.0, __real__ x));
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}
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else if (icls == FP_ZERO)
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{
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/* Imaginary part is 0.0. */
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__real__ retval = HUGE_VALL;
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__imag__ retval = __imag__ x * __copysignl (1.0, __real__ x);
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}
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else
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{
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/* The addition raises the invalid exception. */
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__real__ retval = HUGE_VALL;
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__imag__ retval = __nanl ("") + __nanl ("");
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if (icls == FP_INFINITE)
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feraiseexcept (FE_INVALID);
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}
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}
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else
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{
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__real__ retval = __nanl ("");
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__imag__ retval = __imag__ x == 0.0 ? __imag__ x : __nanl ("");
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}
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return retval;
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}
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weak_alias (__ccoshl, ccoshl)
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