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63551311 | 1 | /* Complex sine function for double. |
f7a9f785 | 2 | Copyright (C) 1997-2016 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__ double | |
27 | __csin (__complex__ double x) | |
28 | { | |
779ae82e UD |
29 | __complex__ double retval; |
30 | int negate = signbit (__real__ x); | |
31 | int rcls = fpclassify (__real__ x); | |
32 | int icls = fpclassify (__imag__ x); | |
33 | ||
34 | __real__ x = fabs (__real__ x); | |
63551311 | 35 | |
a1ffb40e | 36 | if (__glibc_likely (icls >= FP_ZERO)) |
63551311 | 37 | { |
779ae82e | 38 | /* Imaginary part is finite. */ |
a1ffb40e | 39 | if (__glibc_likely (rcls >= FP_ZERO)) |
63551311 | 40 | { |
779ae82e | 41 | /* Real part is finite. */ |
e0b16cc2 | 42 | const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2); |
779ae82e UD |
43 | double sinix, cosix; |
44 | ||
a67894c5 | 45 | if (__glibc_likely (__real__ x > DBL_MIN)) |
6d3bf199 LD |
46 | { |
47 | __sincos (__real__ x, &sinix, &cosix); | |
48 | } | |
49 | else | |
50 | { | |
51 | sinix = __real__ x; | |
52 | cosix = 1.0; | |
53 | } | |
779ae82e | 54 | |
ac831b36 JM |
55 | if (negate) |
56 | sinix = -sinix; | |
57 | ||
e0b16cc2 JM |
58 | if (fabs (__imag__ x) > t) |
59 | { | |
60 | double exp_t = __ieee754_exp (t); | |
61 | double ix = fabs (__imag__ x); | |
62 | if (signbit (__imag__ x)) | |
63 | cosix = -cosix; | |
64 | ix -= t; | |
65 | sinix *= exp_t / 2.0; | |
66 | cosix *= exp_t / 2.0; | |
67 | if (ix > t) | |
68 | { | |
69 | ix -= t; | |
70 | sinix *= exp_t; | |
71 | cosix *= exp_t; | |
72 | } | |
73 | if (ix > t) | |
74 | { | |
75 | /* Overflow (original imaginary part of x > 3t). */ | |
76 | __real__ retval = DBL_MAX * sinix; | |
77 | __imag__ retval = DBL_MAX * cosix; | |
78 | } | |
79 | else | |
80 | { | |
81 | double exp_val = __ieee754_exp (ix); | |
82 | __real__ retval = exp_val * sinix; | |
83 | __imag__ retval = exp_val * cosix; | |
84 | } | |
85 | } | |
86 | else | |
87 | { | |
88 | __real__ retval = __ieee754_cosh (__imag__ x) * sinix; | |
89 | __imag__ retval = __ieee754_sinh (__imag__ x) * cosix; | |
90 | } | |
779ae82e | 91 | |
d96164c3 | 92 | math_check_force_underflow_complex (retval); |
63551311 UD |
93 | } |
94 | else | |
95 | { | |
779ae82e UD |
96 | if (icls == FP_ZERO) |
97 | { | |
98 | /* Imaginary part is 0.0. */ | |
99 | __real__ retval = __nan (""); | |
100 | __imag__ retval = __imag__ x; | |
101 | ||
779ae82e UD |
102 | if (rcls == FP_INFINITE) |
103 | feraiseexcept (FE_INVALID); | |
779ae82e UD |
104 | } |
105 | else | |
106 | { | |
107 | __real__ retval = __nan (""); | |
108 | __imag__ retval = __nan (""); | |
109 | ||
779ae82e | 110 | feraiseexcept (FE_INVALID); |
779ae82e | 111 | } |
63551311 UD |
112 | } |
113 | } | |
779ae82e | 114 | else if (icls == FP_INFINITE) |
63551311 | 115 | { |
779ae82e UD |
116 | /* Imaginary part is infinite. */ |
117 | if (rcls == FP_ZERO) | |
118 | { | |
119 | /* Real part is 0.0. */ | |
120 | __real__ retval = __copysign (0.0, negate ? -1.0 : 1.0); | |
121 | __imag__ retval = __imag__ x; | |
122 | } | |
123 | else if (rcls > FP_ZERO) | |
124 | { | |
125 | /* Real part is finite. */ | |
126 | double sinix, cosix; | |
127 | ||
a67894c5 | 128 | if (__glibc_likely (__real__ x > DBL_MIN)) |
6d3bf199 LD |
129 | { |
130 | __sincos (__real__ x, &sinix, &cosix); | |
131 | } | |
132 | else | |
133 | { | |
134 | sinix = __real__ x; | |
135 | cosix = 1.0; | |
136 | } | |
63551311 | 137 | |
779ae82e UD |
138 | __real__ retval = __copysign (HUGE_VAL, sinix); |
139 | __imag__ retval = __copysign (HUGE_VAL, cosix); | |
63551311 | 140 | |
779ae82e UD |
141 | if (negate) |
142 | __real__ retval = -__real__ retval; | |
143 | if (signbit (__imag__ x)) | |
144 | __imag__ retval = -__imag__ retval; | |
145 | } | |
146 | else | |
147 | { | |
148 | /* The addition raises the invalid exception. */ | |
149 | __real__ retval = __nan (""); | |
150 | __imag__ retval = HUGE_VAL; | |
63551311 | 151 | |
779ae82e UD |
152 | if (rcls == FP_INFINITE) |
153 | feraiseexcept (FE_INVALID); | |
779ae82e UD |
154 | } |
155 | } | |
156 | else | |
157 | { | |
158 | if (rcls == FP_ZERO) | |
159 | __real__ retval = __copysign (0.0, negate ? -1.0 : 1.0); | |
160 | else | |
161 | __real__ retval = __nan (""); | |
162 | __imag__ retval = __nan (""); | |
63551311 UD |
163 | } |
164 | ||
779ae82e | 165 | return retval; |
63551311 UD |
166 | } |
167 | weak_alias (__csin, csin) | |
168 | #ifdef NO_LONG_DOUBLE | |
169 | strong_alias (__csin, __csinl) | |
170 | weak_alias (__csin, csinl) | |
171 | #endif |