1 /* Return value of complex exponential function for long double complex value.
2 Copyright (C) 1997-2012 Free Software Foundation, Inc.
3 This file is part of the GNU C Library.
4 Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
6 The GNU C Library is free software; you can redistribute it and/or
7 modify it under the terms of the GNU Lesser General Public
8 License as published by the Free Software Foundation; either
9 version 2.1 of the License, or (at your option) any later version.
11 The GNU C Library is distributed in the hope that it will be useful,
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 Lesser General Public License for more details.
16 You should have received a copy of the GNU Lesser General Public
17 License along with the GNU C Library; if not, see
18 <http://www.gnu.org/licenses/>. */
23 #include <math_private.h>
26 __complex__ long double
27 __cexpl (__complex__ long double x)
29 __complex__ long double retval;
30 int rcls = fpclassify (__real__ x);
31 int icls = fpclassify (__imag__ x);
33 if (__builtin_expect (rcls >= FP_ZERO, 1))
35 /* Real part is finite. */
36 if (__builtin_expect (icls >= FP_ZERO, 1))
38 /* Imaginary part is finite. */
39 const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l);
40 long double sinix, cosix;
42 if (__builtin_expect (icls != FP_SUBNORMAL, 1))
44 __sincosl (__imag__ x, &sinix, &cosix);
54 long double exp_t = __ieee754_expl (t);
67 /* Overflow (original real part of x > 3t). */
68 __real__ retval = LDBL_MAX * cosix;
69 __imag__ retval = LDBL_MAX * sinix;
73 long double exp_val = __ieee754_expl (__real__ x);
74 __real__ retval = exp_val * cosix;
75 __imag__ retval = exp_val * sinix;
80 /* If the imaginary part is +-inf or NaN and the real part
81 is not +-inf the result is NaN + iNaN. */
82 __real__ retval = __nanl ("");
83 __imag__ retval = __nanl ("");
85 feraiseexcept (FE_INVALID);
88 else if (__builtin_expect (rcls == FP_INFINITE, 1))
90 /* Real part is infinite. */
91 if (__builtin_expect (icls >= FP_ZERO, 1))
93 /* Imaginary part is finite. */
94 long double value = signbit (__real__ x) ? 0.0 : HUGE_VALL;
98 /* Imaginary part is 0.0. */
99 __real__ retval = value;
100 __imag__ retval = __imag__ x;
104 long double sinix, cosix;
106 if (__builtin_expect (icls != FP_SUBNORMAL, 1))
108 __sincosl (__imag__ x, &sinix, &cosix);
116 __real__ retval = __copysignl (value, cosix);
117 __imag__ retval = __copysignl (value, sinix);
120 else if (signbit (__real__ x) == 0)
122 __real__ retval = HUGE_VALL;
123 __imag__ retval = __nanl ("");
125 if (icls == FP_INFINITE)
126 feraiseexcept (FE_INVALID);
130 __real__ retval = 0.0;
131 __imag__ retval = __copysignl (0.0, __imag__ x);
136 /* If the real part is NaN the result is NaN + iNaN. */
137 __real__ retval = __nanl ("");
138 __imag__ retval = __nanl ("");
140 if (rcls != FP_NAN || icls != FP_NAN)
141 feraiseexcept (FE_INVALID);
146 weak_alias (__cexpl, cexpl)