scipy.special.erfcinv#
- scipy.special.erfcinv(y, out=None) = <ufunc 'erfcinv'>#
Inverse of the complementary error function.
Computes the inverse of the complementary error function.
In the complex domain, there is no unique complex number w satisfying erfc(w)=z. This indicates a true inverse function would be multivalued. When the domain restricts to the real, 0 < x < 2, there is a unique real number satisfying erfc(erfcinv(x)) = erfcinv(erfc(x)).
It is related to inverse of the error function by erfcinv(1-x) = erfinv(x)
- Parameters:
- yndarray
Argument at which to evaluate. Domain: [0, 2]
- outndarray, optional
Optional output array for the function values
- Returns:
- erfcinvscalar or ndarray
The inverse of erfc of y, element-wise
See also
Examples
>>> import numpy as np >>> import matplotlib.pyplot as plt >>> from scipy.special import erfcinv
>>> erfcinv(0.5) 0.4769362762044699
>>> y = np.linspace(0.0, 2.0, num=11) >>> erfcinv(y) array([ inf, 0.9061938 , 0.59511608, 0.37080716, 0.17914345, -0. , -0.17914345, -0.37080716, -0.59511608, -0.9061938 , -inf])
Plot the function:
>>> y = np.linspace(0, 2, 200) >>> fig, ax = plt.subplots() >>> ax.plot(y, erfcinv(y)) >>> ax.grid(True) >>> ax.set_xlabel('y') >>> ax.set_title('erfcinv(y)') >>> plt.show()