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993b3242 | 1 | /* Complex cosine hyperbole function for float. |
568035b7 | 2 | Copyright (C) 1997-2013 Free Software Foundation, Inc. |
993b3242 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. | |
993b3242 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. |
993b3242 | 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/>. */ | |
993b3242 UD |
19 | |
20 | #include <complex.h> | |
779ae82e | 21 | #include <fenv.h> |
993b3242 | 22 | #include <math.h> |
9277c064 | 23 | #include <math_private.h> |
e0b16cc2 | 24 | #include <float.h> |
993b3242 UD |
25 | |
26 | __complex__ float | |
27 | __ccoshf (__complex__ float x) | |
28 | { | |
29 | __complex__ float retval; | |
63551311 UD |
30 | int rcls = fpclassify (__real__ x); |
31 | int icls = fpclassify (__imag__ x); | |
993b3242 | 32 | |
bc62c2fb | 33 | if (__builtin_expect (rcls >= FP_ZERO, 1)) |
993b3242 | 34 | { |
63551311 | 35 | /* Real part is finite. */ |
bc62c2fb | 36 | if (__builtin_expect (icls >= FP_ZERO, 1)) |
993b3242 | 37 | { |
63551311 | 38 | /* Imaginary part is finite. */ |
e0b16cc2 | 39 | const int t = (int) ((FLT_MAX_EXP - 1) * M_LN2); |
7799b7b3 | 40 | float sinix, cosix; |
993b3242 | 41 | |
6d3bf199 LD |
42 | if (__builtin_expect (icls != FP_SUBNORMAL, 1)) |
43 | { | |
44 | __sincosf (__imag__ x, &sinix, &cosix); | |
45 | } | |
46 | else | |
47 | { | |
48 | sinix = __imag__ x; | |
49 | cosix = 1.0f; | |
50 | } | |
7799b7b3 | 51 | |
e0b16cc2 JM |
52 | if (fabsf (__real__ x) > t) |
53 | { | |
54 | float exp_t = __ieee754_expf (t); | |
55 | float rx = fabsf (__real__ x); | |
56 | if (signbit (__real__ x)) | |
57 | sinix = -sinix; | |
58 | rx -= t; | |
59 | sinix *= exp_t / 2.0f; | |
60 | cosix *= exp_t / 2.0f; | |
61 | if (rx > t) | |
62 | { | |
63 | rx -= t; | |
64 | sinix *= exp_t; | |
65 | cosix *= exp_t; | |
66 | } | |
67 | if (rx > t) | |
68 | { | |
69 | /* Overflow (original real part of x > 3t). */ | |
70 | __real__ retval = FLT_MAX * cosix; | |
71 | __imag__ retval = FLT_MAX * sinix; | |
72 | } | |
73 | else | |
74 | { | |
75 | float exp_val = __ieee754_expf (rx); | |
76 | __real__ retval = exp_val * cosix; | |
77 | __imag__ retval = exp_val * sinix; | |
78 | } | |
79 | } | |
80 | else | |
81 | { | |
82 | __real__ retval = __ieee754_coshf (__real__ x) * cosix; | |
83 | __imag__ retval = __ieee754_sinhf (__real__ x) * sinix; | |
84 | } | |
993b3242 UD |
85 | } |
86 | else | |
87 | { | |
63551311 | 88 | __imag__ retval = __real__ x == 0.0 ? 0.0 : __nanf (""); |
779ae82e UD |
89 | __real__ retval = __nanf (""); |
90 | ||
779ae82e UD |
91 | if (icls == FP_INFINITE) |
92 | feraiseexcept (FE_INVALID); | |
993b3242 UD |
93 | } |
94 | } | |
bc62c2fb | 95 | else if (__builtin_expect (rcls == FP_INFINITE, 1)) |
993b3242 | 96 | { |
63551311 | 97 | /* Real part is infinite. */ |
bc62c2fb | 98 | if (__builtin_expect (icls > FP_ZERO, 1)) |
993b3242 | 99 | { |
63551311 | 100 | /* Imaginary part is finite. */ |
7799b7b3 UD |
101 | float sinix, cosix; |
102 | ||
6d3bf199 LD |
103 | if (__builtin_expect (icls != FP_SUBNORMAL, 1)) |
104 | { | |
105 | __sincosf (__imag__ x, &sinix, &cosix); | |
106 | } | |
107 | else | |
108 | { | |
109 | sinix = __imag__ x; | |
110 | cosix = 1.0f; | |
111 | } | |
7799b7b3 UD |
112 | |
113 | __real__ retval = __copysignf (HUGE_VALF, cosix); | |
0a54e401 UD |
114 | __imag__ retval = (__copysignf (HUGE_VALF, sinix) |
115 | * __copysignf (1.0, __real__ x)); | |
993b3242 | 116 | } |
bc62c2fb UD |
117 | else if (icls == FP_ZERO) |
118 | { | |
119 | /* Imaginary part is 0.0. */ | |
120 | __real__ retval = HUGE_VALF; | |
121 | __imag__ retval = __imag__ x * __copysignf (1.0, __real__ x); | |
122 | } | |
993b3242 UD |
123 | else |
124 | { | |
125 | /* The addition raises the invalid exception. */ | |
126 | __real__ retval = HUGE_VALF; | |
127 | __imag__ retval = __nanf ("") + __nanf (""); | |
779ae82e UD |
128 | |
129 | #ifdef FE_INVALID | |
130 | if (icls == FP_INFINITE) | |
131 | feraiseexcept (FE_INVALID); | |
132 | #endif | |
993b3242 UD |
133 | } |
134 | } | |
135 | else | |
136 | { | |
63551311 UD |
137 | __real__ retval = __nanf (""); |
138 | __imag__ retval = __imag__ x == 0.0 ? __imag__ x : __nanf (""); | |
993b3242 UD |
139 | } |
140 | ||
141 | return retval; | |
142 | } | |
1705f0a3 | 143 | #ifndef __ccoshf |
993b3242 | 144 | weak_alias (__ccoshf, ccoshf) |
1705f0a3 | 145 | #endif |