1997-04-15 03:38:39 +02:00
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/* Return value of complex exponential function for double complex value.
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2012-03-22 20:38:09 +01:00
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Copyright (C) 1997-2012 Free Software Foundation, Inc.
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1997-03-25 03:25:35 +01:00
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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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2001-07-06 06:58:11 +02:00
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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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1997-03-25 03:25:35 +01:00
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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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2001-07-06 06:58:11 +02:00
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Lesser General Public License for more details.
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1997-03-25 03:25:35 +01:00
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2001-07-06 06:58:11 +02:00
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You should have received a copy of the GNU Lesser General Public
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2012-02-10 00:18:22 +01:00
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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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1997-03-25 03:25:35 +01:00
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#include <complex.h>
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1997-05-01 03:25:40 +02:00
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#include <fenv.h>
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1997-03-25 03:25:35 +01:00
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#include <math.h>
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2011-10-08 11:16:04 +02:00
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#include <math_private.h>
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2012-03-22 20:38:09 +01:00
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#include <float.h>
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1997-03-25 03:25:35 +01:00
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__complex__ double
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__cexp (__complex__ double x)
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{
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__complex__ double retval;
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1997-04-15 03:38:39 +02:00
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int rcls = fpclassify (__real__ x);
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int icls = fpclassify (__imag__ x);
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1997-03-25 03:25:35 +01:00
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2011-10-22 19:17:30 +02:00
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if (__builtin_expect (rcls >= FP_ZERO, 1))
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1997-03-25 03:25:35 +01:00
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{
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1997-04-15 03:38:39 +02:00
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/* Real part is finite. */
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2011-10-22 19:17:30 +02:00
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if (__builtin_expect (icls >= FP_ZERO, 1))
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1997-03-25 03:25:35 +01:00
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{
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1997-04-15 03:38:39 +02:00
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/* Imaginary part is finite. */
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2012-03-22 20:38:09 +01:00
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const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2);
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1997-04-17 17:10:04 +02:00
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double sinix, cosix;
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2012-09-25 20:41:17 +02:00
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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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1997-03-29 18:32:35 +01:00
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2012-03-22 20:38:09 +01:00
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if (__real__ x > t)
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1997-04-01 00:56:24 +02:00
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{
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2012-03-22 20:38:09 +01:00
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double exp_t = __ieee754_exp (t);
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__real__ x -= t;
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sinix *= exp_t;
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cosix *= exp_t;
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if (__real__ x > t)
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{
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__real__ x -= t;
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sinix *= exp_t;
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cosix *= exp_t;
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}
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}
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if (__real__ x > 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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1997-04-01 00:56:24 +02:00
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}
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else
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{
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2012-03-22 20:38:09 +01:00
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double exp_val = __ieee754_exp (__real__ x);
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__real__ retval = exp_val * cosix;
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__imag__ retval = exp_val * sinix;
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1997-04-01 00:56:24 +02:00
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}
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1997-03-25 03:25:35 +01:00
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}
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else
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1997-03-29 18:32:35 +01:00
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{
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/* If the imaginary part is +-inf or NaN and the real part
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is not +-inf the result is NaN + iNaN. */
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__real__ retval = __nan ("");
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__imag__ retval = __nan ("");
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1997-05-01 03:25:40 +02:00
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feraiseexcept (FE_INVALID);
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1997-03-29 18:32:35 +01:00
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}
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1997-03-25 03:25:35 +01:00
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}
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2011-10-22 19:17:30 +02:00
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else if (__builtin_expect (rcls == FP_INFINITE, 1))
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1997-03-25 03:25:35 +01:00
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{
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1997-04-15 03:38:39 +02:00
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/* Real part is infinite. */
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2011-10-22 19:17:30 +02:00
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if (__builtin_expect (icls >= FP_ZERO, 1))
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1997-03-25 03:25:35 +01:00
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{
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1997-04-15 03:38:39 +02:00
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/* Imaginary part is finite. */
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1997-04-01 00:56:24 +02:00
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double value = signbit (__real__ x) ? 0.0 : HUGE_VAL;
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1997-04-15 03:38:39 +02:00
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if (icls == FP_ZERO)
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1997-04-01 00:56:24 +02:00
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{
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1997-04-15 03:38:39 +02:00
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/* Imaginary part is 0.0. */
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1997-04-01 00:56:24 +02:00
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__real__ retval = value;
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__imag__ retval = __imag__ x;
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}
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1997-03-25 03:25:35 +01:00
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else
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1997-03-29 18:32:35 +01:00
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{
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1997-04-17 17:10:04 +02:00
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double sinix, cosix;
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2012-09-25 20:41:17 +02:00
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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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1997-04-17 17:10:04 +02:00
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__real__ retval = __copysign (value, cosix);
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__imag__ retval = __copysign (value, sinix);
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1997-03-29 18:32:35 +01:00
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}
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}
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else if (signbit (__real__ x) == 0)
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{
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__real__ retval = HUGE_VAL;
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__imag__ retval = __nan ("");
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1997-05-01 03:25:40 +02:00
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if (icls == FP_INFINITE)
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feraiseexcept (FE_INVALID);
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1997-03-25 03:25:35 +01:00
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}
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else
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1997-04-01 00:56:24 +02:00
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{
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__real__ retval = 0.0;
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__imag__ retval = __copysign (0.0, __imag__ x);
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}
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1997-03-25 03:25:35 +01:00
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}
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else
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1997-03-29 18:32:35 +01:00
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{
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/* If the real part is NaN the result is NaN + iNaN. */
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__real__ retval = __nan ("");
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__imag__ retval = __nan ("");
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1997-05-01 03:25:40 +02:00
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if (rcls != FP_NAN || icls != FP_NAN)
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feraiseexcept (FE_INVALID);
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1997-03-29 18:32:35 +01:00
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}
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1997-03-25 03:25:35 +01:00
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return retval;
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}
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weak_alias (__cexp, cexp)
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1997-03-29 18:32:35 +01:00
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#ifdef NO_LONG_DOUBLE
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1997-04-09 01:42:08 +02:00
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strong_alias (__cexp, __cexpl)
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1997-03-29 18:32:35 +01:00
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weak_alias (__cexp, cexpl)
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#endif
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