dpnp.atan

dpnp.atan = <DPNPUnaryFunc 'atan'>

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, tuple of ndarray}, optional

Output array to populate. Array must have the correct shape and the expected data type. A tuple (possible only as a keyword argument) must have length equal to the number of outputs.

Default: None.

order{None, "C", "F", "A", "K"}, optional

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

Default: "K".

Returns:

outdpnp.ndarray

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.

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])