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993b3242 1/* Complex cosine hyperbole function for float.
d4697bc9 2 Copyright (C) 1997-2014 Free Software Foundation, Inc.
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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
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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.
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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
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17 License along with the GNU C Library; if not, see
18 <http://www.gnu.org/licenses/>. */
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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>
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25
26__complex__ float
27__ccoshf (__complex__ float x)
28{
29 __complex__ float retval;
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30 int rcls = fpclassify (__real__ x);
31 int icls = fpclassify (__imag__ x);
993b3242 32
a1ffb40e 33 if (__glibc_likely (rcls >= FP_ZERO))
993b3242 34 {
63551311 35 /* Real part is finite. */
a1ffb40e 36 if (__glibc_likely (icls >= FP_ZERO))
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
a1ffb40e 42 if (__glibc_likely (icls != FP_SUBNORMAL))
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43 {
44 __sincosf (__imag__ x, &sinix, &cosix);
45 }
46 else
47 {
48 sinix = __imag__ x;
49 cosix = 1.0f;
50 }
7799b7b3 51
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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 }
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85
86 if (fabsf (__real__ retval) < FLT_MIN)
87 {
88 volatile float force_underflow
89 = __real__ retval * __real__ retval;
90 (void) force_underflow;
91 }
92 if (fabsf (__imag__ retval) < FLT_MIN)
93 {
94 volatile float force_underflow
95 = __imag__ retval * __imag__ retval;
96 (void) force_underflow;
97 }
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98 }
99 else
100 {
63551311 101 __imag__ retval = __real__ x == 0.0 ? 0.0 : __nanf ("");
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102 __real__ retval = __nanf ("");
103
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104 if (icls == FP_INFINITE)
105 feraiseexcept (FE_INVALID);
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106 }
107 }
a1ffb40e 108 else if (__glibc_likely (rcls == FP_INFINITE))
993b3242 109 {
63551311 110 /* Real part is infinite. */
a1ffb40e 111 if (__glibc_likely (icls > FP_ZERO))
993b3242 112 {
63551311 113 /* Imaginary part is finite. */
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114 float sinix, cosix;
115
a1ffb40e 116 if (__glibc_likely (icls != FP_SUBNORMAL))
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117 {
118 __sincosf (__imag__ x, &sinix, &cosix);
119 }
120 else
121 {
122 sinix = __imag__ x;
123 cosix = 1.0f;
124 }
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125
126 __real__ retval = __copysignf (HUGE_VALF, cosix);
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127 __imag__ retval = (__copysignf (HUGE_VALF, sinix)
128 * __copysignf (1.0, __real__ x));
993b3242 129 }
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130 else if (icls == FP_ZERO)
131 {
132 /* Imaginary part is 0.0. */
133 __real__ retval = HUGE_VALF;
134 __imag__ retval = __imag__ x * __copysignf (1.0, __real__ x);
135 }
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136 else
137 {
138 /* The addition raises the invalid exception. */
139 __real__ retval = HUGE_VALF;
140 __imag__ retval = __nanf ("") + __nanf ("");
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141
142#ifdef FE_INVALID
143 if (icls == FP_INFINITE)
144 feraiseexcept (FE_INVALID);
145#endif
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146 }
147 }
148 else
149 {
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150 __real__ retval = __nanf ("");
151 __imag__ retval = __imag__ x == 0.0 ? __imag__ x : __nanf ("");
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152 }
153
154 return retval;
155}
1705f0a3 156#ifndef __ccoshf
993b3242 157weak_alias (__ccoshf, ccoshf)
1705f0a3 158#endif