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-.\" Copyright (c) 1991, 1993
-.\"	The Regents of the University of California.  All rights reserved.
-.\"
-.\" Redistribution and use in source and binary forms, with or without
-.\" modification, are permitted provided that the following conditions
-.\" are met:
-.\" 1. Redistributions of source code must retain the above copyright
-.\"    notice, this list of conditions and the following disclaimer.
-.\" 2. Redistributions in binary form must reproduce the above copyright
-.\"    notice, this list of conditions and the following disclaimer in the
-.\"    documentation and/or other materials provided with the distribution.
-.\" 3. All advertising materials mentioning features or use of this software
-.\"    must display the following acknowledgement:
-.\"	This product includes software developed by the University of
-.\"	California, Berkeley and its contributors.
-.\" 4. Neither the name of the University nor the names of its contributors
-.\"    may be used to endorse or promote products derived from this software
-.\"    without specific prior written permission.
-.\"
-.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
-.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
-.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
-.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
-.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
-.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
-.\" SUCH DAMAGE.
-.\"
-.\"     @(#)atan2.3	8.1 (Berkeley) 6/4/93
-.\" $FreeBSD$
-.\"
-.Dd June 4, 1993
-.Dt ATAN2 3
-.Os
-.Sh NAME
-.Nm atan2
-.Nd arc tangent function of two variables
-.Sh LIBRARY
-.Lb libm
-.Sh SYNOPSIS
-.In math.h
-.Ft double
-.Fn atan2 "double y" "double x"
-.Sh DESCRIPTION
-The
-.Xr atan2
-function computes the principal value of the arc tangent of
-.Ar y/ Ns Ar x ,
-using the signs of both arguments to determine the quadrant of
-the return value.
-.Sh RETURN VALUES
-The
-.Xr atan2
-function, if successful,
-returns the arc tangent of
-.Ar y/ Ns Ar x
-in the range
-.Bk -words
-.Bq \&- Ns \*(Pi , \&+ Ns \*(Pi
-.Ek
-radians.
-If both
-.Ar x
-and
-.Ar y
-are zero, the global variable
-.Va errno
-is set to
-.Er EDOM .
-On the
-.Tn VAX :
-.Bl -column atan_(y,x)_:=____  sign(y)_(Pi_atan2(Xy_xX))___
-.It Fn atan2 y x No := Ta
-.Fn atan y/x Ta
-if
-.Ar x
-> 0,
-.It Ta sign( Ns Ar y Ns )*(\*(Pi -
-.Fn atan "\\*(Bay/x\\*(Ba" ) Ta
-if
-.Ar x
-< 0,
-.It Ta
-.No 0 Ta
-if x = y = 0, or
-.It Ta
-.Pf sign( Ar y Ns )*\\*(Pi/2 Ta
-if
-.Ar x
-= 0 \(!=
-.Ar y .
-.El
-.Sh NOTES
-The function
-.Fn atan2
-defines "if x > 0,"
-.Fn atan2 0 0
-= 0 on a
-.Tn VAX
-despite that previously
-.Fn atan2 0 0
-may have generated an error message.
-The reasons for assigning a value to
-.Fn atan2 0 0
-are these:
-.Bl -enum -offset indent
-.It
-Programs that test arguments to avoid computing
-.Fn atan2 0 0
-must be indifferent to its value.
-Programs that require it to be invalid are vulnerable
-to diverse reactions to that invalidity on diverse computer systems.
-.It
-The
-.Fn atan2
-function is used mostly to convert from rectangular (x,y)
-to polar
-.if n\
-(r,theta)
-.if t\
-(r,\(*h)
-coordinates that must satisfy x =
-.if n\
-r\(**cos theta
-.if t\
-r\(**cos\(*h
-and y =
-.if n\
-r\(**sin theta.
-.if t\
-r\(**sin\(*h.
-These equations are satisfied when (x=0,y=0)
-is mapped to
-.if n \
-(r=0,theta=0)
-.if t \
-(r=0,\(*h=0)
-on a VAX.  In general, conversions to polar coordinates
-should be computed thus:
-.Bd -unfilled -offset indent
-.if n \{\
-r	:= hypot(x,y);  ... := sqrt(x\(**x+y\(**y)
-theta	:= atan2(y,x).
-.\}
-.if t \{\
-r	:= hypot(x,y);  ... := \(sr(x\u\s82\s10\d+y\u\s82\s10\d)
-\(*h	:= atan2(y,x).
-.\}
-.Ed
-.It
-The foregoing formulas need not be altered to cope in a
-reasonable way with signed zeros and infinities
-on a machine that conforms to
-.Tn IEEE 754 ;
-the versions of
-.Xr hypot 3
-and
-.Fn atan2
-provided for
-such a machine are designed to handle all cases.
-That is why
-.Fn atan2 \(+-0 \-0
-= \(+-\*(Pi
-for instance.
-In general the formulas above are equivalent to these:
-.Bd -unfilled -offset indent
-.if n \
-r := sqrt(x\(**x+y\(**y); if r = 0 then x := copysign(1,x);
-.if t \
-r := \(sr(x\(**x+y\(**y);\0\0if r = 0 then x := copysign(1,x);
-.Ed
-.El
-.Sh SEE ALSO
-.Xr acos 3 ,
-.Xr asin 3 ,
-.Xr atan 3 ,
-.Xr cos 3 ,
-.Xr cosh 3 ,
-.Xr math 3 ,
-.Xr sin 3 ,
-.Xr sinh 3 ,
-.Xr tan 3 ,
-.Xr tanh 3
-.Sh STANDARDS
-The
-.Fn atan2
-function conforms to
-.St -isoC .