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3e5f5557 | 1 | /* Return value of complex exponential function for float complex value. |
f7a9f785 | 2 | Copyright (C) 1997-2016 Free Software Foundation, Inc. |
3e5f5557 UD |
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. | |
3e5f5557 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. |
3e5f5557 | 15 | |
41bdb6e2 | 16 | You should have received a copy of the GNU Lesser General Public |
59ba27a6 PE |
17 | License along with the GNU C Library; if not, see |
18 | <http://www.gnu.org/licenses/>. */ | |
3e5f5557 UD |
19 | |
20 | #include <complex.h> | |
779ae82e | 21 | #include <fenv.h> |
3e5f5557 | 22 | #include <math.h> |
9277c064 | 23 | #include <math_private.h> |
7c69cd14 | 24 | #include <float.h> |
3e5f5557 UD |
25 | |
26 | __complex__ float | |
27 | __cexpf (__complex__ float x) | |
28 | { | |
29 | __complex__ float retval; | |
63551311 UD |
30 | int rcls = fpclassify (__real__ x); |
31 | int icls = fpclassify (__imag__ x); | |
3e5f5557 | 32 | |
a1ffb40e | 33 | if (__glibc_likely (rcls >= FP_ZERO)) |
3e5f5557 | 34 | { |
63551311 | 35 | /* Real part is finite. */ |
a1ffb40e | 36 | if (__glibc_likely (icls >= FP_ZERO)) |
3e5f5557 | 37 | { |
63551311 | 38 | /* Imaginary part is finite. */ |
7c69cd14 | 39 | const int t = (int) ((FLT_MAX_EXP - 1) * M_LN2); |
7799b7b3 UD |
40 | float sinix, cosix; |
41 | ||
a67894c5 | 42 | if (__glibc_likely (fabsf (__imag__ x) > FLT_MIN)) |
6d3bf199 LD |
43 | { |
44 | __sincosf (__imag__ x, &sinix, &cosix); | |
45 | } | |
46 | else | |
47 | { | |
48 | sinix = __imag__ x; | |
49 | cosix = 1.0f; | |
50 | } | |
e7fd8a39 | 51 | |
7c69cd14 | 52 | if (__real__ x > t) |
993b3242 | 53 | { |
7c69cd14 JM |
54 | float exp_t = __ieee754_expf (t); |
55 | __real__ x -= t; | |
56 | sinix *= exp_t; | |
57 | cosix *= exp_t; | |
58 | if (__real__ x > t) | |
59 | { | |
60 | __real__ x -= t; | |
61 | sinix *= exp_t; | |
62 | cosix *= exp_t; | |
63 | } | |
64 | } | |
65 | if (__real__ x > t) | |
66 | { | |
67 | /* Overflow (original real part of x > 3t). */ | |
68 | __real__ retval = FLT_MAX * cosix; | |
69 | __imag__ retval = FLT_MAX * sinix; | |
993b3242 UD |
70 | } |
71 | else | |
72 | { | |
7c69cd14 JM |
73 | float exp_val = __ieee754_expf (__real__ x); |
74 | __real__ retval = exp_val * cosix; | |
75 | __imag__ retval = exp_val * sinix; | |
993b3242 | 76 | } |
d96164c3 | 77 | math_check_force_underflow_complex (retval); |
3e5f5557 UD |
78 | } |
79 | else | |
e7fd8a39 UD |
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 = __nanf (""); | |
84 | __imag__ retval = __nanf (""); | |
779ae82e | 85 | |
779ae82e | 86 | feraiseexcept (FE_INVALID); |
e7fd8a39 | 87 | } |
3e5f5557 | 88 | } |
a1ffb40e | 89 | else if (__glibc_likely (rcls == FP_INFINITE)) |
3e5f5557 | 90 | { |
63551311 | 91 | /* Real part is infinite. */ |
a1ffb40e | 92 | if (__glibc_likely (icls >= FP_ZERO)) |
3e5f5557 | 93 | { |
63551311 | 94 | /* Imaginary part is finite. */ |
993b3242 UD |
95 | float value = signbit (__real__ x) ? 0.0 : HUGE_VALF; |
96 | ||
63551311 | 97 | if (icls == FP_ZERO) |
993b3242 | 98 | { |
63551311 | 99 | /* Imaginary part is 0.0. */ |
993b3242 UD |
100 | __real__ retval = value; |
101 | __imag__ retval = __imag__ x; | |
102 | } | |
3e5f5557 | 103 | else |
e7fd8a39 | 104 | { |
7799b7b3 UD |
105 | float sinix, cosix; |
106 | ||
a67894c5 | 107 | if (__glibc_likely (fabsf (__imag__ x) > FLT_MIN)) |
6d3bf199 LD |
108 | { |
109 | __sincosf (__imag__ x, &sinix, &cosix); | |
110 | } | |
111 | else | |
112 | { | |
113 | sinix = __imag__ x; | |
114 | cosix = 1.0f; | |
115 | } | |
7799b7b3 UD |
116 | |
117 | __real__ retval = __copysignf (value, cosix); | |
118 | __imag__ retval = __copysignf (value, sinix); | |
e7fd8a39 UD |
119 | } |
120 | } | |
121 | else if (signbit (__real__ x) == 0) | |
122 | { | |
123 | __real__ retval = HUGE_VALF; | |
124 | __imag__ retval = __nanf (""); | |
779ae82e | 125 | |
779ae82e UD |
126 | if (icls == FP_INFINITE) |
127 | feraiseexcept (FE_INVALID); | |
3e5f5557 | 128 | } |
3e5f5557 | 129 | else |
993b3242 UD |
130 | { |
131 | __real__ retval = 0.0; | |
132 | __imag__ retval = __copysignf (0.0, __imag__ x); | |
133 | } | |
3e5f5557 UD |
134 | } |
135 | else | |
e7fd8a39 | 136 | { |
8fe89494 JM |
137 | /* If the real part is NaN the result is NaN + iNaN unless the |
138 | imaginary part is zero. */ | |
e7fd8a39 | 139 | __real__ retval = __nanf (""); |
8fe89494 JM |
140 | if (icls == FP_ZERO) |
141 | __imag__ retval = __imag__ x; | |
142 | else | |
143 | { | |
144 | __imag__ retval = __nanf (""); | |
779ae82e | 145 | |
8fe89494 JM |
146 | if (rcls != FP_NAN || icls != FP_NAN) |
147 | feraiseexcept (FE_INVALID); | |
148 | } | |
e7fd8a39 | 149 | } |
3e5f5557 UD |
150 | |
151 | return retval; | |
152 | } | |
1705f0a3 | 153 | #ifndef __cexpf |
3e5f5557 | 154 | weak_alias (__cexpf, cexpf) |
1705f0a3 | 155 | #endif |