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1 .\" Copyright 1993 David Metcalfe (david@prism.demon.co.uk)
2 .\" and Copyright 2008, Linux Foundation, written by Michael Kerrisk
3 .\" <mtk.manpages@gmail.com>
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15 .\" Since the Linux kernel and libraries are constantly changing, this
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27 .\" References consulted:
28 .\" Linux libc source code
29 .\" Lewine's _POSIX Programmer's Guide_ (O'Reilly & Associates, 1991)
30 .\" 386BSD man pages
31 .\" Modified 1993-07-24 by Rik Faith (faith@cs.unc.edu)
32 .\" Modified 1995-08-14 by Arnt Gulbrandsen <agulbra@troll.no>
33 .\" Modified 2002-07-27 by Walter Harms
34 .\" (walter.harms@informatik.uni-oldenburg.de)
35 .\"
36 .TH LOG 3 2015-04-19 "" "Linux Programmer's Manual"
37 .SH NAME
38 log, logf, logl \- natural logarithmic function
39 .SH SYNOPSIS
40 .nf
41 .B #include <math.h>
42 .sp
43 .BI "double log(double " x );
44 .br
45 .BI "float logf(float " x );
46 .br
47 .BI "long double logl(long double " x );
48 .fi
49 .sp
50 Link with \fI\-lm\fP.
51 .sp
52 .in -4n
53 Feature Test Macro Requirements for glibc (see
54 .BR feature_test_macros (7)):
55 .in
56 .sp
57 .ad l
58 .BR logf (),
59 .BR logl ():
60 .RS 4
61 _BSD_SOURCE || _SVID_SOURCE || _XOPEN_SOURCE\ >=\ 600 || _ISOC99_SOURCE ||
62 _POSIX_C_SOURCE\ >=\ 200112L;
63 .br
64 or
65 .I cc\ -std=c99
66 .RE
67 .ad
68 .SH DESCRIPTION
69 These functions return the natural logarithm of
70 .IR x .
71 .SH RETURN VALUE
72 On success, these functions return the natural logarithm of
73 .IR x .
74
75 If
76 .I x
77 is a NaN,
78 a NaN is returned.
79
80 If
81 .I x
82 is 1, the result is +0.
83
84 If
85 .I x
86 is positive infinity,
87 positive infinity is returned.
88
89 If
90 .I x
91 is zero,
92 then a pole error occurs, and the functions return
93 .RB - HUGE_VAL ,
94 .RB - HUGE_VALF ,
95 or
96 .RB - HUGE_VALL ,
97 respectively.
98
99 If
100 .I x
101 is negative (including negative infinity), then
102 a domain error occurs, and a NaN (not a number) is returned.
103 .SH ERRORS
104 See
105 .BR math_error (7)
106 for information on how to determine whether an error has occurred
107 when calling these functions.
108 .PP
109 The following errors can occur:
110 .TP
111 Domain error: \fIx\fP is negative
112 .I errno
113 is set to
114 .BR EDOM .
115 An invalid floating-point exception
116 .RB ( FE_INVALID )
117 is raised.
118 .TP
119 Pole error: \fIx\fP is zero
120 .I errno
121 is set to
122 .BR ERANGE .
123 A divide-by-zero floating-point exception
124 .RB ( FE_DIVBYZERO )
125 is raised.
126 .SH ATTRIBUTES
127 For an explanation of the terms used in this section, see
128 .BR attributes (7).
129 .TS
130 allbox;
131 lbw21 lb lb
132 l l l.
133 Interface Attribute Value
134 T{
135 .BR log (),
136 .BR logf (),
137 .BR logl ()
138 T} Thread safety MT-Safe
139 .TE
140 .SH CONFORMING TO
141 C99, POSIX.1-2001, POSIX.1-2008.
142
143 The variant returning
144 .I double
145 also conforms to
146 SVr4, 4.3BSD, C89.
147 .SH BUGS
148 In glibc 2.5 and earlier,
149 taking the
150 .BR log ()
151 of a NaN produces a bogus invalid floating-point
152 .RB ( FE_INVALID )
153 exception.
154 .SH SEE ALSO
155 .BR cbrt (3),
156 .BR clog (3),
157 .BR log10 (3),
158 .BR log1p (3),
159 .BR log2 (3),
160 .BR sqrt (3)