1 | /* Compute complex natural logarithm. |
2 | Copyright (C) 1997-2016 Free Software Foundation, Inc. |
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 |
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. |
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 |
14 | Lesser General Public License for more details. |
15 | |
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/>. */ |
19 | |
20 | #include <complex.h> |
21 | #include <math.h> |
22 | #include <math_private.h> |
23 | #include <float.h> |
24 | |
25 | __complex__ double |
26 | __clog (__complex__ double x) |
27 | { |
28 | __complex__ double result; |
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. */ |
35 | __imag__ result = signbit (__real__ x) ? M_PI : 0.0; |
36 | __imag__ result = __copysign (__imag__ result, __imag__ x); |
37 | /* Yes, the following line raises an exception. */ |
38 | __real__ result = -1.0 / fabs (__real__ x); |
39 | } |
40 | else if (__glibc_likely (rcls != FP_NAN && icls != FP_NAN)) |
41 | { |
42 | /* Neither real nor imaginary part is NaN. */ |
43 | double absx = fabs (__real__ x), absy = fabs (__imag__ x); |
44 | int scale = 0; |
45 | |
46 | if (absx < absy) |
47 | { |
48 | double t = absx; |
49 | absx = absy; |
50 | absy = t; |
51 | } |
52 | |
53 | if (absx > DBL_MAX / 2.0) |
54 | { |
55 | scale = -1; |
56 | absx = __scalbn (absx, scale); |
57 | absy = (absy >= DBL_MIN * 2.0 ? __scalbn (absy, scale) : 0.0); |
58 | } |
59 | else if (absx < DBL_MIN && absy < DBL_MIN) |
60 | { |
61 | scale = DBL_MANT_DIG; |
62 | absx = __scalbn (absx, scale); |
63 | absy = __scalbn (absy, scale); |
64 | } |
65 | |
66 | if (absx == 1.0 && scale == 0) |
67 | { |
68 | __real__ result = __log1p (absy * absy) / 2.0; |
69 | math_check_force_underflow_nonneg (__real__ result); |
70 | } |
71 | else if (absx > 1.0 && absx < 2.0 && absy < 1.0 && scale == 0) |
72 | { |
73 | double d2m1 = (absx - 1.0) * (absx + 1.0); |
74 | if (absy >= DBL_EPSILON) |
75 | d2m1 += absy * absy; |
76 | __real__ result = __log1p (d2m1) / 2.0; |
77 | } |
78 | else if (absx < 1.0 |
79 | && absx >= 0.5 |
80 | && absy < DBL_EPSILON / 2.0 |
81 | && scale == 0) |
82 | { |
83 | double d2m1 = (absx - 1.0) * (absx + 1.0); |
84 | __real__ result = __log1p (d2m1) / 2.0; |
85 | } |
86 | else if (absx < 1.0 |
87 | && absx >= 0.5 |
88 | && scale == 0 |
89 | && absx * absx + absy * absy >= 0.5) |
90 | { |
91 | double d2m1 = __x2y2m1 (absx, absy); |
92 | __real__ result = __log1p (d2m1) / 2.0; |
93 | } |
94 | else |
95 | { |
96 | double d = __ieee754_hypot (absx, absy); |
97 | __real__ result = __ieee754_log (d) - scale * M_LN2; |
98 | } |
99 | |
100 | __imag__ result = __ieee754_atan2 (__imag__ x, __real__ x); |
101 | } |
102 | else |
103 | { |
104 | __imag__ result = __nan ("" ); |
105 | if (rcls == FP_INFINITE || icls == FP_INFINITE) |
106 | /* Real or imaginary part is infinite. */ |
107 | __real__ result = HUGE_VAL; |
108 | else |
109 | __real__ result = __nan ("" ); |
110 | } |
111 | |
112 | return result; |
113 | } |
114 | weak_alias (__clog, clog) |
115 | #ifdef NO_LONG_DOUBLE |
116 | strong_alias (__clog, __clogl) |
117 | weak_alias (__clog, clogl) |
118 | #endif |
119 | |