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fea681da 1.\" Copyright 1993 David Metcalfe (david@prism.demon.co.uk)
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2.\" and Copyright 2008, Linux Foundation, written by Michael Kerrisk
3.\" <mtk.manpages@gmail.com>
fea681da 4.\"
93015253 5.\" %%%LICENSE_START(VERBATIM)
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6.\" Permission is granted to make and distribute verbatim copies of this
7.\" manual provided the copyright notice and this permission notice are
8.\" preserved on all copies.
9.\"
10.\" Permission is granted to copy and distribute modified versions of this
11.\" manual under the conditions for verbatim copying, provided that the
12.\" entire resulting derived work is distributed under the terms of a
13.\" permission notice identical to this one.
c13182ef 14.\"
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15.\" Since the Linux kernel and libraries are constantly changing, this
16.\" manual page may be incorrect or out-of-date. The author(s) assume no
17.\" responsibility for errors or omissions, or for damages resulting from
18.\" the use of the information contained herein. The author(s) may not
19.\" have taken the same level of care in the production of this manual,
20.\" which is licensed free of charge, as they might when working
21.\" professionally.
c13182ef 22.\"
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23.\" Formatted or processed versions of this manual, if unaccompanied by
24.\" the source, must acknowledge the copyright and authors of this work.
4b72fb64 25.\" %%%LICENSE_END
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26.\"
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.\"
4b8c67d9 36.TH LOG 3 2017-09-15 "" "Linux Programmer's Manual"
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37.SH NAME
38log, logf, logl \- natural logarithmic function
39.SH SYNOPSIS
40.nf
41.B #include <math.h>
68e4db0a 42.PP
fea681da 43.BI "double log(double " x );
fea681da 44.BI "float logf(float " x );
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45.BI "long double logl(long double " x );
46.fi
68e4db0a 47.PP
20c58d70 48Link with \fI\-lm\fP.
68e4db0a 49.PP
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50.in -4n
51Feature Test Macro Requirements for glibc (see
52.BR feature_test_macros (7)):
53.in
68e4db0a 54.PP
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55.ad l
56.BR logf (),
57.BR logl ():
b90c43a8 58.RS 4
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59_ISOC99_SOURCE || _POSIX_C_SOURCE\ >=\ 200112L
60 || /* Since glibc 2.19: */ _DEFAULT_SOURCE
61 || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
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62.RE
63.ad
fea681da 64.SH DESCRIPTION
5600f73a 65These functions return the natural logarithm of
022671eb 66.IR x .
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67.SH RETURN VALUE
68On success, these functions return the natural logarithm of
69.IR x .
847e0d88 70.PP
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71If
72.I x
73is a NaN,
74a NaN is returned.
847e0d88 75.PP
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76If
77.I x
78is 1, the result is +0.
847e0d88 79.PP
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80If
81.I x
82is positive infinity,
83positive infinity is returned.
847e0d88 84.PP
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85If
86.I x
87is zero,
efe294cb 88then a pole error occurs, and the functions return
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89.RB - HUGE_VAL ,
90.RB - HUGE_VALF ,
91or
92.RB - HUGE_VALL ,
93respectively.
847e0d88 94.PP
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95If
96.I x
97is negative (including negative infinity), then
efe294cb 98a domain error occurs, and a NaN (not a number) is returned.
fea681da 99.SH ERRORS
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100See
101.BR math_error (7)
102for information on how to determine whether an error has occurred
103when calling these functions.
104.PP
105The following errors can occur:
fea681da 106.TP
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107Domain error: \fIx\fP is negative
108.I errno
109is set to
110.BR EDOM .
111An invalid floating-point exception
112.RB ( FE_INVALID )
113is raised.
fea681da 114.TP
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115Pole error: \fIx\fP is zero
116.I errno
117is set to
118.BR ERANGE .
119A divide-by-zero floating-point exception
120.RB ( FE_DIVBYZERO )
121is raised.
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122.SH ATTRIBUTES
123For an explanation of the terms used in this section, see
124.BR attributes (7).
125.TS
126allbox;
34726473 127lbw21 lb lb
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128l l l.
129Interface Attribute Value
130T{
131.BR log (),
132.BR logf (),
133.BR logl ()
134T} Thread safety MT-Safe
135.TE
47297adb 136.SH CONFORMING TO
9a74e018 137C99, POSIX.1-2001, POSIX.1-2008.
847e0d88 138.PP
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139The variant returning
140.I double
141also conforms to
68e1685c 142SVr4, 4.3BSD, C89.
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143.SH BUGS
144In glibc 2.5 and earlier,
145taking the
146.BR log ()
147of a NaN produces a bogus invalid floating-point