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erf

The error function.

Syntax

y = erf(x)

Arguments

x

vector or matrix

y

vector or matrix (of same size than x)

Description

erf computes the error function: \frac{2}{\sqrt{\pi}} \int_0^x e^{-t^2} dt

Examples

deff('y=f(t)','y=exp(-t^2)');
erf(0.5)-2/sqrt(%pi)*intg(0,0.5,f)

x = [1+2*%i, -1+2*%i, 1e-6+2e-6*%i,0+2*%i];
a=erf(x)

// Equivalent to
1-erfc(x)

Algorithms

This function is based on the Faddeeva package library.

See also

  • calerf — computes error functions.
  • cdfnor — cumulative distribution function normal distribution
  • erfc — The complementary error function.
  • erfcx — scaled complementary error function.
  • erfinv — inverse error function

History

VersionDescription
5.5.0 Function erf supports complex arguments
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<< ellipj Special Functions erfc >>

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Last updated:
Thu Oct 24 11:13:09 CEST 2024