{{DISPLAYTITLE:_ATAN2}}
The '''_ATAN2''' function returns the radian angle between the positive x-axis of a plane and the point given by the coordinates (x, y).


{{PageSyntax}}
::: angle! = '''_ATAN2(''' ''y'', ''x''''')'''


{{Parameters}}
* ''y'' is the vertical axis position(row) as a positive, zero or negative floating point value.
* ''x'' is the horizontal axis position(column) as a positive, zero or negative floating point value. 


{{PageDescription}}

* The [[DOUBLE]] radian angle returned is '''positive''' for upper row values where y &gt; 0.
::* _ATAN2(y, x) = [[ATN]](y# / x#) when x &gt; 0
::* _ATAN2(y, x) = [[ATN]](y# / x#) + [[_PI]] when x &lt; 0
::* _ATAN2(y, x) = [[_PI]] / 2 when x = 0
* The [[DOUBLE]] radian angle returned is 0 when x &gt; 0 and [[_PI]] when x &lt; 0 where y = 0 
* The [[DOUBLE]] radian angle returned is '''negative''' for lower row values where y &lt; 0.
::* _ATAN2(y, x) = [[ATN]](y# / x#) when x &gt; 0
::* _ATAN2(y, x) = [[ATN]](y# / x#) - [[_PI]] when x &lt; 0
::* _ATAN2(y, x) = -[[_PI]] / 2 when x = 0
* _ATAN2(0, 0) is undefined and the function returns 0 instead of a division error.


{{PageErrors}}
* Note: With [[ATN]](y / x), x can never be 0 as that would create a Division by Zero [[ERROR Codes|error]] 11 or #IND.


{{PageSeeAlso}}
* [[ATN]] {{text|(arctangent)}}
* [[_PI]] {{text|(QB64 function)}}
* [[Mathematical Operations]]
* [https://en.wikipedia.org/wiki/Atan2 Atan2 reference]


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