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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16.\" manual page may be incorrect or out-of-date.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 2002-07-27 by Walter Harms
33.\" (walter.harms@informatik.uni-oldenburg.de)
34.\"
4b8c67d9 35.TH ATAN2 3 2017-09-15 "" "Linux Programmer's Manual"
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36.SH NAME
37atan2, atan2f, atan2l \- arc tangent function of two variables
38.SH SYNOPSIS
39.nf
40.B #include <math.h>
dbfe9c70 41.PP
fea681da 42.BI "double atan2(double " y ", double " x );
fea681da 43.BI "float atan2f(float " y ", float " x );
fea681da 44.BI "long double atan2l(long double " y ", long double " x );
fea681da 45.fi
dbfe9c70 46.PP
20c58d70 47Link with \fI\-lm\fP.
68e4db0a 48.PP
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49.in -4n
50Feature Test Macro Requirements for glibc (see
51.BR feature_test_macros (7)):
52.in
68e4db0a 53.PP
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54.ad l
55.BR atan2f (),
56.BR atan2l ():
fd39aa34 57.RS
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58_ISOC99_SOURCE || _POSIX_C_SOURCE\ >=\ 200112L
59 || /* Since glibc 2.19: */ _DEFAULT_SOURCE
60 || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
fd39aa34 61.RE
f71288ac 62.ad b
fea681da 63.SH DESCRIPTION
5600f73a 64These functions calculate the principal value of the arc tangent of
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65.IR y/x ,
66using the signs of the two arguments to determine
67the quadrant of the result.
47297adb 68.SH RETURN VALUE
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69On success, these functions return the principal value of the arc tangent of
70.IR y/x
d62d92dc 71in radians; the return value is in the range [\-pi,\ pi].
847e0d88 72.PP
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73If
74.I y
75is +0 (\-0) and
76.I x
77is less than 0, +pi (\-pi) is returned.
847e0d88 78.PP
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79If
80.I y
81is +0 (\-0) and
82.I x
83is greater than 0, +0 (\-0) is returned.
847e0d88 84.PP
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85If
86.I y
87is less than 0 and
88.I x
89is +0 or \-0, \-pi/2 is returned.
847e0d88 90.PP
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91If
92.I y
93is greater than 0 and
94.I x
95is +0 or \-0, pi/2 is returned.
847e0d88 96.PP
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97.\" POSIX.1 says:
98.\" If
99.\" .I x
100.\" is 0, a pole error shall not occur.
101.\"
102If either
103.I x
104or
105.I y
106is NaN, a NaN is returned.
847e0d88 107.PP
f71288ac 108.\" POSIX.1 says:
4e836144 109.\" If the result underflows, a range error may occur and
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110.\" .I y/x
111.\" should be returned.
112.\"
113If
114.I y
115is +0 (\-0) and
116.I x
117is \-0, +pi (\-pi) is returned.
847e0d88 118.PP
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119If
120.I y
121is +0 (\-0) and
122.I x
123is +0, +0 (\-0) is returned.
847e0d88 124.PP
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125If
126.I y
127is a finite value greater (less) than 0, and
128.I x
129is negative infinity, +pi (\-pi) is returned.
847e0d88 130.PP
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131If
132.I y
133is a finite value greater (less) than 0, and
134.I x
135is positive infinity, +0 (\-0) is returned.
847e0d88 136.PP
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137If
138.I y
139is positive infinity (negative infinity), and
140.I x
141is finite,
142pi/2 (\-pi/2) is returned.
847e0d88 143.PP
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144If
145.I y
146is positive infinity (negative infinity) and
147.I x
c3074d70 148is negative infinity, +3*pi/4 (\-3*pi/4) is returned.
847e0d88 149.PP
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150If
151.I y
152is positive infinity (negative infinity) and
153.I x
c3074d70 154is positive infinity, +pi/4 (\-pi/4) is returned.
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155.\"
156.\" POSIX.1 says:
157.\" If both arguments are 0, a domain error shall not occur.
158.SH ERRORS
159No errors occur.
160.\" POSIX.1 documents an optional underflow error
161.\" glibc 2.8 does not do this.
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162.SH ATTRIBUTES
163For an explanation of the terms used in this section, see
164.BR attributes (7).
165.TS
166allbox;
167lbw28 lb lb
168l l l.
169Interface Attribute Value
170T{
171.BR atan2 (),
172.BR atan2f (),
173.BR atan2l ()
174T} Thread safety MT-Safe
175.TE
47297adb 176.SH CONFORMING TO
9a74e018 177C99, POSIX.1-2001, POSIX.1-2008.
847e0d88 178.PP
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179The variant returning
180.I double
181also conforms to
f71288ac 182SVr4, 4.3BSD, C89.
47297adb 183.SH SEE ALSO
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184.BR acos (3),
185.BR asin (3),
186.BR atan (3),
a1759255 187.BR carg (3),
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188.BR cos (3),
189.BR sin (3),
190.BR tan (3)