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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 2017-09-15 "" "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 .PP
43 .BI "double log(double " x );
44 .BI "float logf(float " x );
45 .BI "long double logl(long double " x );
46 .fi
47 .PP
48 Link with \fI\-lm\fP.
49 .PP
50 .in -4n
51 Feature Test Macro Requirements for glibc (see
52 .BR feature_test_macros (7)):
53 .in
54 .PP
55 .ad l
56 .BR logf (),
57 .BR logl ():
58 .RS 4
59 _ISOC99_SOURCE || _POSIX_C_SOURCE\ >=\ 200112L
60 || /* Since glibc 2.19: */ _DEFAULT_SOURCE
61 || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
62 .RE
63 .ad
64 .SH DESCRIPTION
65 These functions return the natural logarithm of
66 .IR x .
67 .SH RETURN VALUE
68 On success, these functions return the natural logarithm of
69 .IR x .
70 .PP
71 If
72 .I x
73 is a NaN,
74 a NaN is returned.
75 .PP
76 If
77 .I x
78 is 1, the result is +0.
79 .PP
80 If
81 .I x
82 is positive infinity,
83 positive infinity is returned.
84 .PP
85 If
86 .I x
87 is zero,
88 then a pole error occurs, and the functions return
89 .RB - HUGE_VAL ,
90 .RB - HUGE_VALF ,
91 or
92 .RB - HUGE_VALL ,
93 respectively.
94 .PP
95 If
96 .I x
97 is negative (including negative infinity), then
98 a domain error occurs, and a NaN (not a number) is returned.
99 .SH ERRORS
100 See
101 .BR math_error (7)
102 for information on how to determine whether an error has occurred
103 when calling these functions.
104 .PP
105 The following errors can occur:
106 .TP
107 Domain error: \fIx\fP is negative
108 .I errno
109 is set to
110 .BR EDOM .
111 An invalid floating-point exception
112 .RB ( FE_INVALID )
113 is raised.
114 .TP
115 Pole error: \fIx\fP is zero
116 .I errno
117 is set to
118 .BR ERANGE .
119 A divide-by-zero floating-point exception
120 .RB ( FE_DIVBYZERO )
121 is raised.
122 .SH ATTRIBUTES
123 For an explanation of the terms used in this section, see
124 .BR attributes (7).
125 .TS
126 allbox;
127 lbw21 lb lb
128 l l l.
129 Interface Attribute Value
130 T{
131 .BR log (),
132 .BR logf (),
133 .BR logl ()
134 T} Thread safety MT-Safe
135 .TE
136 .SH CONFORMING TO
137 C99, POSIX.1-2001, POSIX.1-2008.
138 .PP
139 The variant returning
140 .I double
141 also conforms to
142 SVr4, 4.3BSD, C89.
143 .SH BUGS
144 In glibc 2.5 and earlier,
145 taking the
146 .BR log ()
147 of a NaN produces a bogus invalid floating-point
148 .RB ( FE_INVALID )
149 exception.
150 .SH SEE ALSO
151 .BR cbrt (3),
152 .BR clog (3),
153 .BR log10 (3),
154 .BR log1p (3),
155 .BR log2 (3),
156 .BR sqrt (3)