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7799b7b3 | 1 | /* Return value of complex exponential function for double complex value. |
34b402e5 UD |
2 | Copyright (C) 1997 Free Software Foundation, Inc. |
3 | This file is part of the GNU C Library. | |
4 | Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. | |
5 | ||
6 | The GNU C Library is free software; you can redistribute it and/or | |
41bdb6e2 AJ |
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. | |
34b402e5 UD |
10 | |
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 | |
41bdb6e2 | 14 | Lesser General Public License for more details. |
34b402e5 | 15 | |
41bdb6e2 AJ |
16 | You should have received a copy of the GNU Lesser General Public |
17 | License along with the GNU C Library; if not, write to the Free | |
18 | Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA | |
19 | 02111-1307 USA. */ | |
34b402e5 UD |
20 | |
21 | #include <complex.h> | |
93256cc1 | 22 | #include <fenv.h> |
34b402e5 UD |
23 | #include <math.h> |
24 | ||
7799b7b3 UD |
25 | #include "math_private.h" |
26 | ||
34b402e5 UD |
27 | |
28 | __complex__ double | |
29 | __cexp (__complex__ double x) | |
30 | { | |
31 | __complex__ double retval; | |
7799b7b3 UD |
32 | int rcls = fpclassify (__real__ x); |
33 | int icls = fpclassify (__imag__ x); | |
34b402e5 | 34 | |
7799b7b3 | 35 | if (rcls >= FP_ZERO) |
34b402e5 | 36 | { |
7799b7b3 UD |
37 | /* Real part is finite. */ |
38 | if (icls >= FP_ZERO) | |
34b402e5 | 39 | { |
7799b7b3 UD |
40 | /* Imaginary part is finite. */ |
41 | double exp_val = __ieee754_exp (__real__ x); | |
dd33e89f UD |
42 | double sinix, cosix; |
43 | ||
44 | __sincos (__imag__ x, &sinix, &cosix); | |
993b3242 | 45 | |
5929563f UD |
46 | if (isfinite (exp_val)) |
47 | { | |
dd33e89f UD |
48 | __real__ retval = exp_val * cosix; |
49 | __imag__ retval = exp_val * sinix; | |
5929563f UD |
50 | } |
51 | else | |
52 | { | |
dd33e89f UD |
53 | __real__ retval = __copysign (exp_val, cosix); |
54 | __imag__ retval = __copysign (exp_val, sinix); | |
5929563f | 55 | } |
34b402e5 UD |
56 | } |
57 | else | |
993b3242 UD |
58 | { |
59 | /* If the imaginary part is +-inf or NaN and the real part | |
60 | is not +-inf the result is NaN + iNaN. */ | |
61 | __real__ retval = __nan (""); | |
62 | __imag__ retval = __nan (""); | |
93256cc1 UD |
63 | |
64 | #ifdef FE_INVALID | |
65 | feraiseexcept (FE_INVALID); | |
66 | #endif | |
993b3242 | 67 | } |
34b402e5 | 68 | } |
7799b7b3 | 69 | else if (rcls == FP_INFINITE) |
34b402e5 | 70 | { |
7799b7b3 UD |
71 | /* Real part is infinite. */ |
72 | if (icls >= FP_ZERO) | |
34b402e5 | 73 | { |
7799b7b3 | 74 | /* Imaginary part is finite. */ |
5929563f UD |
75 | double value = signbit (__real__ x) ? 0.0 : HUGE_VAL; |
76 | ||
7799b7b3 | 77 | if (icls == FP_ZERO) |
5929563f | 78 | { |
7799b7b3 | 79 | /* Imaginary part is 0.0. */ |
5929563f UD |
80 | __real__ retval = value; |
81 | __imag__ retval = __imag__ x; | |
82 | } | |
34b402e5 | 83 | else |
993b3242 | 84 | { |
dd33e89f UD |
85 | double sinix, cosix; |
86 | ||
87 | __sincos (__imag__ x, &sinix, &cosix); | |
88 | ||
89 | __real__ retval = __copysign (value, cosix); | |
90 | __imag__ retval = __copysign (value, sinix); | |
993b3242 UD |
91 | } |
92 | } | |
93 | else if (signbit (__real__ x) == 0) | |
94 | { | |
95 | __real__ retval = HUGE_VAL; | |
96 | __imag__ retval = __nan (""); | |
93256cc1 UD |
97 | |
98 | #ifdef FE_INVALID | |
99 | if (icls == FP_INFINITE) | |
100 | feraiseexcept (FE_INVALID); | |
101 | #endif | |
34b402e5 | 102 | } |
34b402e5 | 103 | else |
5929563f UD |
104 | { |
105 | __real__ retval = 0.0; | |
106 | __imag__ retval = __copysign (0.0, __imag__ x); | |
107 | } | |
34b402e5 UD |
108 | } |
109 | else | |
993b3242 UD |
110 | { |
111 | /* If the real part is NaN the result is NaN + iNaN. */ | |
112 | __real__ retval = __nan (""); | |
113 | __imag__ retval = __nan (""); | |
93256cc1 UD |
114 | |
115 | #ifdef FE_INVALID | |
116 | if (rcls != FP_NAN || icls != FP_NAN) | |
117 | feraiseexcept (FE_INVALID); | |
118 | #endif | |
993b3242 | 119 | } |
34b402e5 UD |
120 | |
121 | return retval; | |
122 | } | |
123 | weak_alias (__cexp, cexp) | |
993b3242 | 124 | #ifdef NO_LONG_DOUBLE |
c131718c | 125 | strong_alias (__cexp, __cexpl) |
993b3242 UD |
126 | weak_alias (__cexp, cexpl) |
127 | #endif |