1 /* Complex sine function for long double.
2 Copyright (C) 1997-2012 Free Software Foundation, Inc.
3 This file is part of the GNU C Library.
4 Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
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.
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.
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/>. */
23 #include <math_private.h>
26 __complex__ long double
27 __csinl (__complex__ long double x)
29 __complex__ long double retval;
30 int negate = signbit (__real__ x);
31 int rcls = fpclassify (__real__ x);
32 int icls = fpclassify (__imag__ x);
34 __real__ x = fabsl (__real__ x);
36 if (__builtin_expect (icls >= FP_ZERO, 1))
38 /* Imaginary part is finite. */
39 if (__builtin_expect (rcls >= FP_ZERO, 1))
41 /* Real part is finite. */
42 const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l);
43 long double sinix, cosix;
45 if (__builtin_expect (rcls != FP_SUBNORMAL, 1))
47 __sincosl (__real__ x, &sinix, &cosix);
55 if (fabsl (__imag__ x) > t)
57 long double exp_t = __ieee754_expl (t);
58 long double ix = fabsl (__imag__ x);
59 if (signbit (__imag__ x))
62 sinix *= exp_t / 2.0L;
63 cosix *= exp_t / 2.0L;
72 /* Overflow (original imaginary part of x > 3t). */
73 __real__ retval = LDBL_MAX * sinix;
74 __imag__ retval = LDBL_MAX * cosix;
78 long double exp_val = __ieee754_expl (ix);
79 __real__ retval = exp_val * sinix;
80 __imag__ retval = exp_val * cosix;
85 __real__ retval = __ieee754_coshl (__imag__ x) * sinix;
86 __imag__ retval = __ieee754_sinhl (__imag__ x) * cosix;
90 __real__ retval = -__real__ retval;
96 /* Imaginary part is 0.0. */
97 __real__ retval = __nanl ("");
98 __imag__ retval = __imag__ x;
100 if (rcls == FP_INFINITE)
101 feraiseexcept (FE_INVALID);
105 __real__ retval = __nanl ("");
106 __imag__ retval = __nanl ("");
108 feraiseexcept (FE_INVALID);
112 else if (icls == FP_INFINITE)
114 /* Imaginary part is infinite. */
117 /* Real part is 0.0. */
118 __real__ retval = __copysignl (0.0, negate ? -1.0 : 1.0);
119 __imag__ retval = __imag__ x;
121 else if (rcls > FP_ZERO)
123 /* Real part is finite. */
124 long double sinix, cosix;
126 if (__builtin_expect (rcls != FP_SUBNORMAL, 1))
128 __sincosl (__real__ x, &sinix, &cosix);
136 __real__ retval = __copysignl (HUGE_VALL, sinix);
137 __imag__ retval = __copysignl (HUGE_VALL, cosix);
140 __real__ retval = -__real__ retval;
141 if (signbit (__imag__ x))
142 __imag__ retval = -__imag__ retval;
146 /* The addition raises the invalid exception. */
147 __real__ retval = __nanl ("");
148 __imag__ retval = HUGE_VALL;
150 if (rcls == FP_INFINITE)
151 feraiseexcept (FE_INVALID);
157 __real__ retval = __copysignl (0.0, negate ? -1.0 : 1.0);
159 __real__ retval = __nanl ("");
160 __imag__ retval = __nanl ("");
165 weak_alias (__csinl, csinl)