1 /* Complex sine function for float types.
2 Copyright (C) 1997-2018 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/>. */
20 #include "quadmath-imp.h"
23 csinq (__complex128 x
)
26 int negate
= signbitq (__real__ x
);
27 int rcls
= fpclassifyq (__real__ x
);
28 int icls
= fpclassifyq (__imag__ x
);
30 __real__ x
= fabsq (__real__ x
);
32 if (__glibc_likely (icls
>= QUADFP_ZERO
))
34 /* Imaginary part is finite. */
35 if (__glibc_likely (rcls
>= QUADFP_ZERO
))
37 /* Real part is finite. */
38 const int t
= (int) ((FLT128_MAX_EXP
- 1) * M_LN2q
);
39 __float128 sinix
, cosix
;
41 if (__glibc_likely (__real__ x
> FLT128_MIN
))
43 sincosq (__real__ x
, &sinix
, &cosix
);
54 if (fabsq (__imag__ x
) > t
)
56 __float128 exp_t
= expq (t
);
57 __float128 ix
= fabsq (__imag__ x
);
58 if (signbitq (__imag__ x
))
71 /* Overflow (original imaginary part of x > 3t). */
72 __real__ retval
= FLT128_MAX
* sinix
;
73 __imag__ retval
= FLT128_MAX
* cosix
;
77 __float128 exp_val
= expq (ix
);
78 __real__ retval
= exp_val
* sinix
;
79 __imag__ retval
= exp_val
* cosix
;
84 __real__ retval
= coshq (__imag__ x
) * sinix
;
85 __imag__ retval
= sinhq (__imag__ x
) * cosix
;
88 math_check_force_underflow_complex (retval
);
92 if (icls
== QUADFP_ZERO
)
94 /* Imaginary part is 0.0. */
95 __real__ retval
= __real__ x
- __real__ x
;
96 __imag__ retval
= __imag__ x
;
100 __real__ retval
= nanq ("");
101 __imag__ retval
= nanq ("");
103 feraiseexcept (FE_INVALID
);
107 else if (icls
== QUADFP_INFINITE
)
109 /* Imaginary part is infinite. */
110 if (rcls
== QUADFP_ZERO
)
112 /* Real part is 0.0. */
113 __real__ retval
= copysignq (0, negate
? -1 : 1);
114 __imag__ retval
= __imag__ x
;
116 else if (rcls
> QUADFP_ZERO
)
118 /* Real part is finite. */
119 __float128 sinix
, cosix
;
121 if (__glibc_likely (__real__ x
> FLT128_MIN
))
123 sincosq (__real__ x
, &sinix
, &cosix
);
131 __real__ retval
= copysignq (HUGE_VALQ
, sinix
);
132 __imag__ retval
= copysignq (HUGE_VALQ
, cosix
);
135 __real__ retval
= -__real__ retval
;
136 if (signbitq (__imag__ x
))
137 __imag__ retval
= -__imag__ retval
;
141 __real__ retval
= __real__ x
- __real__ x
;
142 __imag__ retval
= HUGE_VALQ
;
147 if (rcls
== QUADFP_ZERO
)
148 __real__ retval
= copysignq (0, negate
? -1 : 1);
150 __real__ retval
= nanq ("");
151 __imag__ retval
= nanq ("");