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1 | /* Return value of complex exponential function for a float type. |
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2 | Copyright (C) 1997-2019 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 |
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 <complex.h> |
21 | #include <fenv.h> |
22 | #include <math.h> |
23 | #include <math_private.h> |
24 | #include <math-underflow.h> |
25 | #include <float.h> |
26 | |
27 | CFLOAT |
28 | M_DECL_FUNC (__cexp) (CFLOAT x) |
29 | { |
30 | CFLOAT retval; |
31 | int rcls = fpclassify (__real__ x); |
32 | int icls = fpclassify (__imag__ x); |
33 | |
34 | if (__glibc_likely (rcls >= FP_ZERO)) |
35 | { |
36 | /* Real part is finite. */ |
37 | if (__glibc_likely (icls >= FP_ZERO)) |
38 | { |
39 | /* Imaginary part is finite. */ |
40 | const int t = (int) ((M_MAX_EXP - 1) * M_MLIT (M_LN2)); |
41 | FLOAT sinix, cosix; |
42 | |
43 | if (__glibc_likely (M_FABS (__imag__ x) > M_MIN)) |
44 | { |
45 | M_SINCOS (__imag__ x, &sinix, &cosix); |
46 | } |
47 | else |
48 | { |
49 | sinix = __imag__ x; |
50 | cosix = 1; |
51 | } |
52 | |
53 | if (__real__ x > t) |
54 | { |
55 | FLOAT exp_t = M_EXP (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 = M_MAX * cosix; |
70 | __imag__ retval = M_MAX * sinix; |
71 | } |
72 | else |
73 | { |
74 | FLOAT exp_val = M_EXP (__real__ x); |
75 | __real__ retval = exp_val * cosix; |
76 | __imag__ retval = exp_val * sinix; |
77 | } |
78 | math_check_force_underflow_complex (retval); |
79 | } |
80 | else |
81 | { |
82 | /* If the imaginary part is +-inf or NaN and the real part |
83 | is not +-inf the result is NaN + iNaN. */ |
84 | __real__ retval = M_NAN; |
85 | __imag__ retval = M_NAN; |
86 | |
87 | feraiseexcept (FE_INVALID); |
88 | } |
89 | } |
90 | else if (__glibc_likely (rcls == FP_INFINITE)) |
91 | { |
92 | /* Real part is infinite. */ |
93 | if (__glibc_likely (icls >= FP_ZERO)) |
94 | { |
95 | /* Imaginary part is finite. */ |
96 | FLOAT value = signbit (__real__ x) ? 0 : M_HUGE_VAL; |
97 | |
98 | if (icls == FP_ZERO) |
99 | { |
100 | /* Imaginary part is 0.0. */ |
101 | __real__ retval = value; |
102 | __imag__ retval = __imag__ x; |
103 | } |
104 | else |
105 | { |
106 | FLOAT sinix, cosix; |
107 | |
108 | if (__glibc_likely (M_FABS (__imag__ x) > M_MIN)) |
109 | { |
110 | M_SINCOS (__imag__ x, &sinix, &cosix); |
111 | } |
112 | else |
113 | { |
114 | sinix = __imag__ x; |
115 | cosix = 1; |
116 | } |
117 | |
118 | __real__ retval = M_COPYSIGN (value, cosix); |
119 | __imag__ retval = M_COPYSIGN (value, sinix); |
120 | } |
121 | } |
122 | else if (signbit (__real__ x) == 0) |
123 | { |
124 | __real__ retval = M_HUGE_VAL; |
125 | __imag__ retval = __imag__ x - __imag__ x; |
126 | } |
127 | else |
128 | { |
129 | __real__ retval = 0; |
130 | __imag__ retval = M_COPYSIGN (0, __imag__ x); |
131 | } |
132 | } |
133 | else |
134 | { |
135 | /* If the real part is NaN the result is NaN + iNaN unless the |
136 | imaginary part is zero. */ |
137 | __real__ retval = M_NAN; |
138 | if (icls == FP_ZERO) |
139 | __imag__ retval = __imag__ x; |
140 | else |
141 | { |
142 | __imag__ retval = M_NAN; |
143 | |
144 | if (rcls != FP_NAN || icls != FP_NAN) |
145 | feraiseexcept (FE_INVALID); |
146 | } |
147 | } |
148 | |
149 | return retval; |
150 | } |
151 | declare_mgen_alias (__cexp, cexp) |
152 |
Warning: That file was not part of the compilation database. It may have many parsing errors.