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4a2f7ea2 | 1 | /* Return value of complex exponential function for complex __float128 value. |
92920cc6 | 2 | Copyright (C) 1997-2012 Free Software Foundation, Inc. |
4a2f7ea2 | 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 | |
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. | |
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 | |
14 | Lesser General Public License for more details. | |
15 | ||
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/>. */ | |
19 | ||
20 | #include "quadmath-imp.h" | |
21 | ||
22 | #ifdef HAVE_FENV_H | |
23 | # include <fenv.h> | |
24 | #endif | |
25 | ||
26 | ||
27 | __complex128 | |
28 | cexpq (__complex128 x) | |
29 | { | |
30 | __complex128 retval; | |
31 | int rcls = fpclassifyq (__real__ x); | |
32 | int icls = fpclassifyq (__imag__ x); | |
33 | ||
34 | if (__builtin_expect (rcls >= QUADFP_ZERO, 1)) | |
35 | { | |
36 | /* Real part is finite. */ | |
37 | if (__builtin_expect (icls >= QUADFP_ZERO, 1)) | |
38 | { | |
39 | /* Imaginary part is finite. */ | |
40 | const int t = (int) ((FLT128_MAX_EXP - 1) * M_LN2q); | |
41 | __float128 sinix, cosix; | |
42 | ||
43 | if (__builtin_expect (icls != QUADFP_SUBNORMAL, 1)) | |
44 | { | |
45 | sincosq (__imag__ x, &sinix, &cosix); | |
46 | } | |
47 | else | |
48 | { | |
49 | sinix = __imag__ x; | |
50 | cosix = 1.0Q; | |
51 | } | |
52 | ||
53 | if (__real__ x > t) | |
54 | { | |
55 | __float128 exp_t = expq (t); | |
56 | __real__ x -= t; | |
57 | sinix *= exp_t; | |
58 | cosix *= exp_t; | |
59 | if (__real__ x > t) | |
60 | { | |
61 | __real__ x -= t; | |
62 | sinix *= exp_t; | |
63 | cosix *= exp_t; | |
64 | } | |
65 | } | |
66 | if (__real__ x > t) | |
67 | { | |
68 | /* Overflow (original real part of x > 3t). */ | |
69 | __real__ retval = FLT128_MAX * cosix; | |
70 | __imag__ retval = FLT128_MAX * sinix; | |
71 | } | |
72 | else | |
73 | { | |
74 | __float128 exp_val = expq (__real__ x); | |
75 | __real__ retval = exp_val * cosix; | |
76 | __imag__ retval = exp_val * sinix; | |
77 | } | |
78 | } | |
79 | else | |
80 | { | |
81 | /* If the imaginary part is +-inf or NaN and the real part | |
82 | is not +-inf the result is NaN + iNaN. */ | |
83 | __real__ retval = nanq (""); | |
84 | __imag__ retval = nanq (""); | |
85 | ||
86 | #ifdef HAVE_FENV_H | |
87 | feraiseexcept (FE_INVALID); | |
88 | #endif | |
89 | } | |
90 | } | |
91 | else if (__builtin_expect (rcls == QUADFP_INFINITE, 1)) | |
92 | { | |
93 | /* Real part is infinite. */ | |
94 | if (__builtin_expect (icls >= QUADFP_ZERO, 1)) | |
95 | { | |
96 | /* Imaginary part is finite. */ | |
97 | __float128 value = signbitq (__real__ x) ? 0.0Q : HUGE_VALQ; | |
98 | ||
99 | if (icls == QUADFP_ZERO) | |
100 | { | |
101 | /* Imaginary part is 0.0. */ | |
102 | __real__ retval = value; | |
103 | __imag__ retval = __imag__ x; | |
104 | } | |
105 | else | |
106 | { | |
107 | __float128 sinix, cosix; | |
108 | ||
109 | if (__builtin_expect (icls != QUADFP_SUBNORMAL, 1)) | |
110 | { | |
111 | sincosq (__imag__ x, &sinix, &cosix); | |
112 | } | |
113 | else | |
114 | { | |
115 | sinix = __imag__ x; | |
116 | cosix = 1.0Q; | |
117 | } | |
118 | ||
119 | __real__ retval = copysignq (value, cosix); | |
120 | __imag__ retval = copysignq (value, sinix); | |
121 | } | |
122 | } | |
123 | else if (signbitq (__real__ x) == 0) | |
124 | { | |
125 | __real__ retval = HUGE_VALQ; | |
126 | __imag__ retval = nanq (""); | |
127 | ||
128 | #ifdef HAVE_FENV_H | |
129 | if (icls == QUADFP_INFINITE) | |
130 | feraiseexcept (FE_INVALID); | |
131 | #endif | |
132 | } | |
133 | else | |
134 | { | |
135 | __real__ retval = 0.0Q; | |
136 | __imag__ retval = copysignq (0.0Q, __imag__ x); | |
137 | } | |
138 | } | |
139 | else | |
140 | { | |
141 | /* If the real part is NaN the result is NaN + iNaN. */ | |
142 | __real__ retval = nanq (""); | |
143 | __imag__ retval = nanq (""); | |
144 | ||
145 | #ifdef HAVE_FENV_H | |
146 | if (rcls != QUADFP_NAN || icls != QUADFP_NAN) | |
147 | feraiseexcept (FE_INVALID); | |
148 | #endif | |
149 | } | |
150 | ||
151 | return retval; | |
152 | } |