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159 lines
3.9 KiB
C
159 lines
3.9 KiB
C
/* Complex cosine hyperbole function for double.
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Copyright (C) 1997-2013 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__ double
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__ccosh (__complex__ double x)
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{
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__complex__ 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) ((DBL_MAX_EXP - 1) * M_LN2);
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double sinix, cosix;
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if (__builtin_expect (icls != FP_SUBNORMAL, 1))
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{
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__sincos (__imag__ x, &sinix, &cosix);
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}
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else
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{
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sinix = __imag__ x;
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cosix = 1.0;
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}
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if (fabs (__real__ x) > t)
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{
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double exp_t = __ieee754_exp (t);
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double rx = fabs (__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 / 2.0;
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cosix *= exp_t / 2.0;
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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 = DBL_MAX * cosix;
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__imag__ retval = DBL_MAX * sinix;
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}
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else
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{
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double exp_val = __ieee754_exp (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_cosh (__real__ x) * cosix;
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__imag__ retval = __ieee754_sinh (__real__ x) * sinix;
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}
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if (fabs (__real__ retval) < DBL_MIN)
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{
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volatile double force_underflow
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= __real__ retval * __real__ retval;
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(void) force_underflow;
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}
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if (fabs (__imag__ retval) < DBL_MIN)
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{
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volatile double force_underflow
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= __imag__ retval * __imag__ retval;
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(void) force_underflow;
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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 : __nan ("");
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__real__ retval = __nan ("") + __nan ("");
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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 (rcls == FP_INFINITE)
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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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double sinix, cosix;
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if (__builtin_expect (icls != FP_SUBNORMAL, 1))
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{
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__sincos (__imag__ x, &sinix, &cosix);
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}
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else
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{
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sinix = __imag__ x;
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cosix = 1.0;
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}
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__real__ retval = __copysign (HUGE_VAL, cosix);
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__imag__ retval = (__copysign (HUGE_VAL, sinix)
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* __copysign (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_VAL;
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__imag__ retval = __imag__ x * __copysign (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_VAL;
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__imag__ retval = __nan ("") + __nan ("");
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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 = __nan ("");
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__imag__ retval = __imag__ x == 0.0 ? __imag__ x : __nan ("");
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}
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return retval;
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}
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weak_alias (__ccosh, ccosh)
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#ifdef NO_LONG_DOUBLE
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strong_alias (__ccosh, __ccoshl)
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weak_alias (__ccosh, ccoshl)
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#endif
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