tf.keras.ops.arctan2

Element-wise arc tangent of x1/x2 choosing the quadrant correctly.

View aliases

Main aliases

tf.keras.ops.numpy.arctan2

tf.keras.ops.arctan2(
    x1, x2
)

The quadrant (i.e., branch) is chosen so that arctan2(x1, x2) is the signed angle in radians between the ray ending at the origin and passing through the point (1, 0), and the ray ending at the origin and passing through the point (x2, x1). (Note the role reversal: the "y-coordinate" is the first function parameter, the "x-coordinate" is the second.) By IEEE convention, this function is defined for x2 = +/-0 and for either or both of x1 and x2 = +/-inf.

Args
x1	First input tensor.
x2	Second input tensor.

Returns
Tensor of angles in radians, in the range [-pi, pi].

Examples:

Consider four points in different quadrants:

>>> x = keras.ops.convert_to_tensor([-1, +1, +1, -1])
>>> y = keras.ops.convert_to_tensor([-1, -1, +1, +1])
>>> keras.ops.arctan2(y, x) * 180 / numpy.pi
array([-135., -45., 45., 135.], dtype=float32)

Note the order of the parameters. arctan2 is defined also when x2=0 and at several other points, obtaining values in the range [-pi, pi]:

>>> keras.ops.arctan2(
...     keras.ops.array([1., -1.]),
...     keras.ops.array([0., 0.]),
... )
array([ 1.5707964, -1.5707964], dtype=float32)
>>> keras.ops.arctan2(
...     keras.ops.array([0., 0., numpy.inf]),
...     keras.ops.array([+0., -0., numpy.inf]),
... )
array([0., 3.1415925, 0.7853982], dtype=float32)