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fea681da 1.\" Copyright 1995 Jim Van Zandt <jrv@vanzandt.mv.com>
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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16.\" manual page may be incorrect or out-of-date.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.\" Modified 2002-07-27 by Walter Harms
28.\" (walter.harms@informatik.uni-oldenburg.de)
4b8c67d9 29.TH LOG1P 3 2017-09-15 "" "Linux Programmer's Manual"
fea681da 30.SH NAME
9a2d673e 31log1p, log1pf, log1pl \- logarithm of 1 plus argument
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32.SH SYNOPSIS
33.nf
34.B #include <math.h>
68e4db0a 35.PP
fea681da 36.BI "double log1p(double " x );
fea681da 37.BI "float log1pf(float " x );
fea681da 38.BI "long double log1pl(long double " x );
68e4db0a 39.PP
fea681da 40.fi
cc4615cc 41Link with \fI\-lm\fP.
68e4db0a 42.PP
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43.in -4n
44Feature Test Macro Requirements for glibc (see
45.BR feature_test_macros (7)):
46.in
68e4db0a 47.PP
cc4615cc 48.ad l
caba2e47 49.BR log1p ():
1b5ffa62 50.RS 4
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51_ISOC99_SOURCE || _POSIX_C_SOURCE\ >=\ 200112L
52 || _XOPEN_SOURCE\ >=\ 500
cf7fa0a1 53.\" || _XOPEN_SOURCE\ &&\ _XOPEN_SOURCE_EXTENDED
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54 || /* Since glibc 2.19: */ _DEFAULT_SOURCE
55 || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
1b5ffa62 56.RE
caba2e47 57.br
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58.BR log1pf (),
59.BR log1pl ():
1b5ffa62 60.RS 4
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61_ISOC99_SOURCE || _POSIX_C_SOURCE\ >=\ 200112L
62 || /* Since glibc 2.19: */ _DEFAULT_SOURCE
63 || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
1b5ffa62 64.RE
cc4615cc 65.ad b
fea681da 66.SH DESCRIPTION
5600f73a 67These functions return a value equivalent to
207050fa 68.PP
2d986c92 69.nf
2d986c92 70 log (1 + \fIx\fP)
2d986c92 71.fi
207050fa 72.PP
5600f73a 73The result is computed in a way
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74that is accurate even if the value of
75.I x
76is near zero.
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77.SH RETURN VALUE
78On success, these functions return the natural logarithm of
79.IR "(1\ +\ x)" .
847e0d88 80.PP
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81If
82.I x
83is a NaN,
84a NaN is returned.
847e0d88 85.PP
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86If
87.I x
88is positive infinity, positive infinity is returned.
847e0d88 89.PP
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90If
91.I x
efe294cb 92is \-1, a pole error occurs,
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93and the functions return
94.RB - HUGE_VAL ,
95.RB - HUGE_VALF ,
96or
97.RB - HUGE_VALL ,
98respectively.
847e0d88 99.PP
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100If
101.I x
102is less than \-1 (including negative infinity),
efe294cb 103a domain error occurs,
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104and a NaN (not a number) is returned.
105.\" POSIX.1 specifies a possible range error if x is subnormal
106.\" glibc 2.8 doesn't do this
107.SH ERRORS
108See
109.BR math_error (7)
110for information on how to determine whether an error has occurred
111when calling these functions.
112.PP
113The following errors can occur:
114.TP
115Domain error: \fIx\fP is less than \-1
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116.I errno
117is set to
118.BR EDOM
119(but see BUGS).
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120An invalid floating-point exception
121.RB ( FE_INVALID )
122is raised.
123.TP
124Pole error: \fIx\fP is \-1
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125.I errno
126is set to
127.BR ERANGE
128(but see BUGS).
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129A divide-by-zero floating-point exception
130.RB ( FE_DIVBYZERO )
131is raised.
d05cb848 132.SH ATTRIBUTES
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133For an explanation of the terms used in this section, see
134.BR attributes (7).
135.TS
136allbox;
137lbw27 lb lb
138l l l.
139Interface Attribute Value
140T{
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141.BR log1p (),
142.BR log1pf (),
d05cb848 143.BR log1pl ()
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144T} Thread safety MT-Safe
145.TE
47297adb 146.SH CONFORMING TO
9a74e018 147C99, POSIX.1-2001, POSIX.1-2008.
caba2e47 148.\" BSD
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149.SH BUGS
150Before version 2.22, the glibc implementation did not set
151.\" https://www.sourceware.org/bugzilla/show_bug.cgi?id=6792
152.I errno
153to
154.B EDOM
155when a domain error occurred.
847e0d88 156.PP
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157Before version 2.22, the glibc implementation did not set
158.\" https://www.sourceware.org/bugzilla/show_bug.cgi?id=6792
159.I errno
160to
161.B ERANGE
162when a range error occurred.
47297adb 163.SH SEE ALSO
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164.BR exp (3),
165.BR expm1 (3),
166.BR log (3)