CodeCogs

The Error Function.

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Interface

#include <codecogs/maths/special/errorfn.h>

using namespace Maths::Special;

double errorFn( double x )

The Error Functionis defined by equation

$erf(x) \equiv \frac{2}{\sqrt{\pi}} \int_0^x e^{-t^2} dt$

(1)

and has the shape \graph x=-2.9:2.9

This approximation of erf is only valid between -3 and 3

References

Eric W. Weisstein. "Erf." From MathWorld--A Wolfram Web Resource
http://mathworld.wolfram.com/Erf.html

Example 1

#include <codecogs/maths/special/errorfn.h>
#include <stdio.h>
using namespace Maths::Special;
int main(  )
{
  double x = 0.5;
  printf("\n errorFn(%f) = %f", x, errorFn(x));
  return getchar();
}

Output:

errorFn(0.500000) = 0.520500

Parameters

the upper limit of the integral (-3<x<3)

Returns

the value of the Error Function evaluated at the given abscissa

Interactive Calculator

Result –