scipy.special.erfinv

scipy.special.erfinv(x, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature, extobj]) = <ufunc 'erfinv'>

Inverse of the error function.

Computes the inverse of the error function.

In the complex domain, there is no unique complex number w satisfying erf(w)=z. This indicates a true inverse function would have multi-value. When the domain restricts to the real, -1 < x < 1, there is a unique real number satisfying erf(erfinv(x)) = x.

Parameters
yndarray

Argument at which to evaluate. Domain: [-1, 1]

Returns
erfinvndarray

The inverse of erf of y, element-wise)

See also

erf

Error function of a complex argument

erfc

Complementary error function, 1 - erf(x)

erfcinv

Inverse of the complementary error function

Examples

  1. evaluating a float number

>>> from scipy import special
>>> special.erfinv(0.5)
0.4769362762044698

  1. evaluating an ndarray

>>> from scipy import special
>>> y = np.linspace(-1.0, 1.0, num=10)
>>> special.erfinv(y)
array([       -inf, -0.86312307, -0.5407314 , -0.30457019, -0.0987901 ,
        0.0987901 ,  0.30457019,  0.5407314 ,  0.86312307,         inf])
scipy.special.erfi scipy.special.erfcinv