Difference between revisions of "ATAN2"

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* _ATAN2(y, x) = [[ATN]](y# / x#) when x > 0 with any y value. Returns positive or negative.
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* The [[DOUBLE]] radian angle returned is positive for upper row values where y > 0.
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* The [[DOUBLE]] radian angle returned is '''positive''' for upper row values where y > 0.
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::* _ATAN2(y, x) = [[ATN]](y# / x#) when x > 0
 
::* _ATAN2(y, x) = [[ATN]](y# / x#) + [[_PI]] when x < 0
 
::* _ATAN2(y, x) = [[ATN]](y# / x#) + [[_PI]] when x < 0
 
::* _ATAN2(y, x) = [[_PI]] / 2 when x = 0
 
::* _ATAN2(y, x) = [[_PI]] / 2 when x = 0
* The [[DOUBLE]] radian angle returned is negative for lower row values where y < 0.
+
* The [[DOUBLE]] radian angle returned is 0 when x > 0 and [[_PI]] when x < 0 where y = 0
 +
* The [[DOUBLE]] radian angle returned is '''negative''' for lower row values where y < 0.
 +
::* _ATAN2(y, x) = [[ATN]](y# / x#) when x > 0
 
::* _ATAN2(y, x) = [[ATN]](y# / x#) - [[_PI]] when x < 0
 
::* _ATAN2(y, x) = [[ATN]](y# / x#) - [[_PI]] when x < 0
 
::* _ATAN2(y, x) = -[[_PI]] / 2 when x = 0
 
::* _ATAN2(y, x) = -[[_PI]] / 2 when x = 0

Revision as of 16:59, 15 November 2015

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


Syntax

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.


Description

  • The DOUBLE radian angle returned is positive for upper row values where y > 0.
  • _ATAN2(y, x) = ATN(y# / x#) when x > 0
  • _ATAN2(y, x) = ATN(y# / x#) + _PI when x < 0
  • _ATAN2(y, x) = _PI / 2 when x = 0
  • The DOUBLE radian angle returned is 0 when x > 0 and _PI when x < 0 where y = 0
  • The DOUBLE radian angle returned is negative for lower row values where y < 0.
  • _ATAN2(y, x) = ATN(y# / x#) when x > 0
  • _ATAN2(y, x) = ATN(y# / x#) - _PI when x < 0
  • _ATAN2(y, x) = -_PI / 2 when x = 0
  • _ATAN2(0, 0) is undefined and the function returns 0 instead of a division error.


Errors

  • Note: With ATN(y / x), x can never be 0 as that would create a Division by Zero error 11.


See also



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