ATAN2()
Two-argument arc tangent
DOUBLE PRECISION
ATAN2 (y, x)
Parameter | Description |
---|---|
y |
An expression of a numeric type |
x |
An expression of a numeric type |
Returns the angle whose sine-to-cosine ratio is given by the two arguments, and whose sine and cosine signs correspond to the signs of the arguments.This allows results across the entire circle, including the angles -pi/2 and pi/2.
-
The result is an angle in the range [-pi, pi].
-
If x is negative, the result is pi if y is 0, and -pi if y is -0.
-
If both y and x are 0, the result is meaningless.An error will be raised if both arguments are 0.
-
A fully equivalent description of this function is the following:
ATAN2(y, x)
is the angle between the positive X-axis and the line from the origin to the point (x, y).This also makes it obvious thatATAN2(0, 0)
is undefined. -
If x is greater than 0,
ATAN2(y, x)
is the same asATAN(y/x)
. -
If both sine and cosine of the angle are already known,
ATAN2(sin, cos)
gives the angle.