1 /* Complex cosine hyperbolic 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 ccoshq (__complex128 x
)
26 int rcls
= fpclassifyq (__real__ x
);
27 int icls
= fpclassifyq (__imag__ x
);
29 if (__glibc_likely (rcls
>= QUADFP_ZERO
))
31 /* Real part is finite. */
32 if (__glibc_likely (icls
>= QUADFP_ZERO
))
34 /* Imaginary part is finite. */
35 const int t
= (int) ((FLT128_MAX_EXP
- 1) * M_LN2q
);
36 __float128 sinix
, cosix
;
38 if (__glibc_likely (fabsq (__imag__ x
) > FLT128_MIN
))
40 sincosq (__imag__ x
, &sinix
, &cosix
);
48 if (fabsq (__real__ x
) > t
)
50 __float128 exp_t
= expq (t
);
51 __float128 rx
= fabsq (__real__ x
);
52 if (signbitq (__real__ x
))
65 /* Overflow (original real part of x > 3t). */
66 __real__ retval
= FLT128_MAX
* cosix
;
67 __imag__ retval
= FLT128_MAX
* sinix
;
71 __float128 exp_val
= expq (rx
);
72 __real__ retval
= exp_val
* cosix
;
73 __imag__ retval
= exp_val
* sinix
;
78 __real__ retval
= coshq (__real__ x
) * cosix
;
79 __imag__ retval
= sinhq (__real__ x
) * sinix
;
82 math_check_force_underflow_complex (retval
);
86 __imag__ retval
= __real__ x
== 0 ? 0 : nanq ("");
87 __real__ retval
= __imag__ x
- __imag__ x
;
90 else if (rcls
== QUADFP_INFINITE
)
92 /* Real part is infinite. */
93 if (__glibc_likely (icls
> QUADFP_ZERO
))
95 /* Imaginary part is finite. */
96 __float128 sinix
, cosix
;
98 if (__glibc_likely (fabsq (__imag__ x
) > FLT128_MIN
))
100 sincosq (__imag__ x
, &sinix
, &cosix
);
108 __real__ retval
= copysignq (HUGE_VALQ
, cosix
);
109 __imag__ retval
= (copysignq (HUGE_VALQ
, sinix
)
110 * copysignq (1, __real__ x
));
112 else if (icls
== QUADFP_ZERO
)
114 /* Imaginary part is 0.0. */
115 __real__ retval
= HUGE_VALQ
;
116 __imag__ retval
= __imag__ x
* copysignq (1, __real__ x
);
120 __real__ retval
= HUGE_VALQ
;
121 __imag__ retval
= __imag__ x
- __imag__ x
;
126 __real__ retval
= nanq ("");
127 __imag__ retval
= __imag__ x
== 0 ? __imag__ x
: nanq ("");