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63551311 | 1 | /* Complex sine function for long double. |
e0b16cc2 | 2 | Copyright (C) 1997-2012 Free Software Foundation, Inc. |
63551311 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. | |
63551311 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. |
63551311 | 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/>. */ | |
63551311 UD |
19 | |
20 | #include <complex.h> | |
779ae82e | 21 | #include <fenv.h> |
63551311 | 22 | #include <math.h> |
9277c064 | 23 | #include <math_private.h> |
e0b16cc2 | 24 | #include <float.h> |
63551311 UD |
25 | |
26 | __complex__ long double | |
27 | __csinl (__complex__ long double x) | |
28 | { | |
779ae82e UD |
29 | __complex__ long double retval; |
30 | int negate = signbit (__real__ x); | |
31 | int rcls = fpclassify (__real__ x); | |
32 | int icls = fpclassify (__imag__ x); | |
33 | ||
34 | __real__ x = fabsl (__real__ x); | |
63551311 | 35 | |
bc62c2fb | 36 | if (__builtin_expect (icls >= FP_ZERO, 1)) |
63551311 | 37 | { |
779ae82e | 38 | /* Imaginary part is finite. */ |
bc62c2fb | 39 | if (__builtin_expect (rcls >= FP_ZERO, 1)) |
63551311 | 40 | { |
779ae82e | 41 | /* Real part is finite. */ |
e0b16cc2 | 42 | const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l); |
779ae82e UD |
43 | long double sinix, cosix; |
44 | ||
45 | __sincosl (__real__ x, &sinix, &cosix); | |
46 | ||
e0b16cc2 JM |
47 | if (fabsl (__imag__ x) > t) |
48 | { | |
49 | long double exp_t = __ieee754_expl (t); | |
50 | long double ix = fabsl (__imag__ x); | |
51 | if (signbit (__imag__ x)) | |
52 | cosix = -cosix; | |
53 | ix -= t; | |
54 | sinix *= exp_t / 2.0L; | |
55 | cosix *= exp_t / 2.0L; | |
56 | if (ix > t) | |
57 | { | |
58 | ix -= t; | |
59 | sinix *= exp_t; | |
60 | cosix *= exp_t; | |
61 | } | |
62 | if (ix > t) | |
63 | { | |
64 | /* Overflow (original imaginary part of x > 3t). */ | |
65 | __real__ retval = LDBL_MAX * sinix; | |
66 | __imag__ retval = LDBL_MAX * cosix; | |
67 | } | |
68 | else | |
69 | { | |
70 | long double exp_val = __ieee754_expl (ix); | |
71 | __real__ retval = exp_val * sinix; | |
72 | __imag__ retval = exp_val * cosix; | |
73 | } | |
74 | } | |
75 | else | |
76 | { | |
77 | __real__ retval = __ieee754_coshl (__imag__ x) * sinix; | |
78 | __imag__ retval = __ieee754_sinhl (__imag__ x) * cosix; | |
79 | } | |
779ae82e UD |
80 | |
81 | if (negate) | |
82 | __real__ retval = -__real__ retval; | |
63551311 UD |
83 | } |
84 | else | |
85 | { | |
779ae82e UD |
86 | if (icls == FP_ZERO) |
87 | { | |
88 | /* Imaginary part is 0.0. */ | |
89 | __real__ retval = __nanl (""); | |
90 | __imag__ retval = __imag__ x; | |
91 | ||
779ae82e UD |
92 | if (rcls == FP_INFINITE) |
93 | feraiseexcept (FE_INVALID); | |
779ae82e UD |
94 | } |
95 | else | |
96 | { | |
97 | __real__ retval = __nanl (""); | |
98 | __imag__ retval = __nanl (""); | |
99 | ||
779ae82e | 100 | feraiseexcept (FE_INVALID); |
779ae82e | 101 | } |
63551311 UD |
102 | } |
103 | } | |
779ae82e | 104 | else if (icls == FP_INFINITE) |
63551311 | 105 | { |
779ae82e UD |
106 | /* Imaginary part is infinite. */ |
107 | if (rcls == FP_ZERO) | |
108 | { | |
109 | /* Real part is 0.0. */ | |
110 | __real__ retval = __copysignl (0.0, negate ? -1.0 : 1.0); | |
111 | __imag__ retval = __imag__ x; | |
112 | } | |
113 | else if (rcls > FP_ZERO) | |
114 | { | |
115 | /* Real part is finite. */ | |
116 | long double sinix, cosix; | |
117 | ||
118 | __sincosl (__real__ x, &sinix, &cosix); | |
63551311 | 119 | |
779ae82e UD |
120 | __real__ retval = __copysignl (HUGE_VALL, sinix); |
121 | __imag__ retval = __copysignl (HUGE_VALL, cosix); | |
63551311 | 122 | |
779ae82e UD |
123 | if (negate) |
124 | __real__ retval = -__real__ retval; | |
125 | if (signbit (__imag__ x)) | |
126 | __imag__ retval = -__imag__ retval; | |
127 | } | |
128 | else | |
129 | { | |
130 | /* The addition raises the invalid exception. */ | |
131 | __real__ retval = __nanl (""); | |
132 | __imag__ retval = HUGE_VALL; | |
63551311 | 133 | |
779ae82e UD |
134 | if (rcls == FP_INFINITE) |
135 | feraiseexcept (FE_INVALID); | |
779ae82e UD |
136 | } |
137 | } | |
138 | else | |
139 | { | |
140 | if (rcls == FP_ZERO) | |
141 | __real__ retval = __copysignl (0.0, negate ? -1.0 : 1.0); | |
142 | else | |
143 | __real__ retval = __nanl (""); | |
144 | __imag__ retval = __nanl (""); | |
63551311 UD |
145 | } |
146 | ||
779ae82e | 147 | return retval; |
63551311 UD |
148 | } |
149 | weak_alias (__csinl, csinl) |