erfinv

Inverse error function

📝Syntax

R = erfinv(X)

📥Input Arguments

Parameter	Description
X	a real single or real double scalar, vector, matrix, or multidimensional array. Sparse and complex inputs are not supported.

📤Output Arguments

Parameter	Description
R	inverse error function values, returned with the same size and floating-point class as X.

📄Description

erfinv computes the inverse error function element by element.

The inverse error function is defined by:

$$erfinv(erf(x)) = x$$

Values outside the interval [-1, 1] return NaN. The values -1 and 1 return -Inf and Inf, respectively.

For expressions of the form erfinv(1 - x), use erfcinv(x) for better accuracy when x is small.

💡Examples

Find the inverse error function of a scalar.

R = erfinv(0.25)

Evaluate boundary and out-of-domain values.

R = erfinv([-2 -1 1 2])

Find the inverse error function of the elements of a matrix.

M = [0 -0.5; 0.9 -0.2];
R = erfinv(M)

Generate normally distributed values from uniform values in [-1, 1].

x = -1 + 2 * rand(1, 10000);
y = sqrt(2) * erfinv(x);

🔗See Also

🕔Version History

Version	Description
1.17.0	initial version