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1dbc54f6 1/* Compute complex natural logarithm.
dff8da6b 2 Copyright (C) 1997-2024 Free Software Foundation, Inc.
1dbc54f6 3 This file is part of the GNU C Library.
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4
5 The GNU C Library is free software; you can redistribute it and/or
6 modify it under the terms of the GNU Lesser General Public
7 License as published by the Free Software Foundation; either
8 version 2.1 of the License, or (at your option) any later version.
9
10 The GNU C Library is distributed in the hope that it will be useful,
11 but WITHOUT ANY WARRANTY; without even the implied warranty of
12 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
13 Lesser General Public License for more details.
14
15 You should have received a copy of the GNU Lesser General Public
16 License along with the GNU C Library; if not, see
5a82c748 17 <https://www.gnu.org/licenses/>. */
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18
19#include <complex.h>
20#include <math.h>
21#include <math_private.h>
8f5b00d3 22#include <math-underflow.h>
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23#include <float.h>
24
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25CFLOAT
26M_DECL_FUNC (__clog) (CFLOAT x)
1dbc54f6 27{
feb62dda 28 CFLOAT result;
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29 int rcls = fpclassify (__real__ x);
30 int icls = fpclassify (__imag__ x);
31
32 if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO))
33 {
34 /* Real and imaginary part are 0.0. */
347a5b59 35 __imag__ result = signbit (__real__ x) ? M_MLIT (M_PI) : 0;
feb62dda 36 __imag__ result = M_COPYSIGN (__imag__ result, __imag__ x);
1dbc54f6 37 /* Yes, the following line raises an exception. */
feb62dda 38 __real__ result = -1 / M_FABS (__real__ x);
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39 }
40 else if (__glibc_likely (rcls != FP_NAN && icls != FP_NAN))
41 {
42 /* Neither real nor imaginary part is NaN. */
feb62dda 43 FLOAT absx = M_FABS (__real__ x), absy = M_FABS (__imag__ x);
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44 int scale = 0;
45
46 if (absx < absy)
47 {
feb62dda 48 FLOAT t = absx;
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49 absx = absy;
50 absy = t;
51 }
52
feb62dda 53 if (absx > M_MAX / 2)
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54 {
55 scale = -1;
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56 absx = M_SCALBN (absx, scale);
57 absy = (absy >= M_MIN * 2 ? M_SCALBN (absy, scale) : 0);
1dbc54f6 58 }
feb62dda 59 else if (absx < M_MIN && absy < M_MIN)
1dbc54f6 60 {
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61 scale = M_MANT_DIG;
62 absx = M_SCALBN (absx, scale);
63 absy = M_SCALBN (absy, scale);
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64 }
65
feb62dda 66 if (absx == 1 && scale == 0)
1dbc54f6 67 {
feb62dda 68 __real__ result = M_LOG1P (absy * absy) / 2;
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69 math_check_force_underflow_nonneg (__real__ result);
70 }
feb62dda 71 else if (absx > 1 && absx < 2 && absy < 1 && scale == 0)
1dbc54f6 72 {
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73 FLOAT d2m1 = (absx - 1) * (absx + 1);
74 if (absy >= M_EPSILON)
1dbc54f6 75 d2m1 += absy * absy;
feb62dda 76 __real__ result = M_LOG1P (d2m1) / 2;
1dbc54f6 77 }
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78 else if (absx < 1
79 && absx >= M_LIT (0.5)
80 && absy < M_EPSILON / 2
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81 && scale == 0)
82 {
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83 FLOAT d2m1 = (absx - 1) * (absx + 1);
84 __real__ result = M_LOG1P (d2m1) / 2;
1dbc54f6 85 }
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86 else if (absx < 1
87 && absx >= M_LIT (0.5)
1dbc54f6 88 && scale == 0
feb62dda 89 && absx * absx + absy * absy >= M_LIT (0.5))
1dbc54f6 90 {
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91 FLOAT d2m1 = M_SUF (__x2y2m1) (absx, absy);
92 __real__ result = M_LOG1P (d2m1) / 2;
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93 }
94 else
95 {
feb62dda 96 FLOAT d = M_HYPOT (absx, absy);
347a5b59 97 __real__ result = M_LOG (d) - scale * M_MLIT (M_LN2);
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98 }
99
feb62dda 100 __imag__ result = M_ATAN2 (__imag__ x, __real__ x);
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101 }
102 else
103 {
feb62dda 104 __imag__ result = M_NAN;
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105 if (rcls == FP_INFINITE || icls == FP_INFINITE)
106 /* Real or imaginary part is infinite. */
feb62dda 107 __real__ result = M_HUGE_VAL;
1dbc54f6 108 else
feb62dda 109 __real__ result = M_NAN;
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110 }
111
112 return result;
113}
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114
115declare_mgen_alias (__clog, clog)