megengine.functional.atanh

atanh(x)[source]

Element-wise \(\tanh^{-1}(x)\) function.

Calculates the inverse hyperbolic tangent for each element \(x_i\) of the input tensor \(x\).

This function has domain [-1, +1] and codomain [-infinity, +infinity].

Special cases

  • If \(x_i\) is NaN, the result is NaN.

  • If \(x_i\) is less than -1, the result is NaN.

  • If \(x_i\) is greater than 1, the result is Nan.

  • If \(x_i\) is +1, the result is +infinity.

  • If \(x_i\) is -1, the result is -infinity.

  • If \(x_i\) is +0, the result is +0.

  • If \(x_i\) is -0, the result is -0.

Parameters

x – input tensor whose elements each represent the area of a hyperbolic sector. Should have a floating-point data type.

Returns

a tensor containing the inverse hyperbolic tangent of each element in \(x\). The returned tensor must have a floating-point data type determined by Type promotion rules.

Examples

>>> F.atanh(0)
Tensor(0.0, device=xpux:0)

Element-wise inverse hyperbolic tangent:

>>> x = Tensor([0, 0.5, -0.5])
>>> F.atanh(x)
Tensor([ 0.      0.5493 -0.5493], device=xpux:0)

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