dpnp.atan

dpnp.atan(x, out=None, where=True, order='K', dtype=None, subok=True, **kwargs)

Computes inverse tangent for each element \(x_i\) for input array x.

The inverse of dpnp.tan, so that if \(y = tan(x)\) then \(x = atan(y)\). Note that dpnp.arctan is an alias of dpnp.atan.

For full documentation refer to numpy.atan.

Parameters:

  • x ({dpnp.ndarray, usm_ndarray}) -- Input array, expected to have a floating-point data type.

  • out ({None, dpnp.ndarray, usm_ndarray}, optional) --

    Output array to populate. Array must have the correct shape and the expected data type.

    Default: None.

  • order ({None, "C", "F", "A", "K"}, optional) --

    Memory layout of the newly output array, if parameter out is None.

    Default: "K".

Returns:

out -- An array containing the element-wise inverse tangent, in radians and in the closed interval \([-\pi/2, \pi/2]\). The data type of the returned array is determined by the Type Promotion Rules.

Return type:

dpnp.ndarray

Limitations

Parameters where and subok are supported with their default values. Keyword argument kwargs is currently unsupported. Otherwise NotImplementedError exception will be raised.

See also

dpnp.atan2

Element-wise arc tangent of \(\frac{x1}{x2}\) choosing the quadrant correctly.

dpnp.angle

Argument of complex values.

dpnp.tan

Trigonometric tangent, element-wise.

dpnp.asin

Trigonometric inverse sine, element-wise.

dpnp.acos

Trigonometric inverse cosine, element-wise.

dpnp.atanh

Inverse hyperbolic tangent, element-wise.

Notes

dpnp.atan is a multivalued function: for each x there are infinitely many numbers z such that \(tan(z) = x\). The convention is to return the angle z whose the real part lies in the interval \([-\pi/2, \pi/2]\).

For real-valued floating-point input data types, dpnp.atan always returns real output. For each value that cannot be expressed as a real number or infinity, it yields NaN.

For complex floating-point input data types, dpnp.atan is a complex analytic function that has, by convention, the branch cuts \((-\infty j, -j)\) and \((j, \infty j)\) and is continuous from the right on the former and from the left on the latter.

The inverse tangent is also known as \(tan^{-1}\).

Examples

>>> import dpnp as np
>>> x = np.array([0, 1])
>>> np.atan(x)
array([0.0, 0.78539816])