functionerf

Error function erf(u) = 2/sqrt(pi)*Integral_0_u exp(-t^2)*d

Extends from Modelica.Icons.Function (Icon for functions).

Information

Syntax

Special.erf(u);

Description

This function computes the error function erf(u) = 2/sqrt(pi)*Integral_0_u exp(-t^2)*dt numerically with a relative precision of about 1e-15. The implementation utilizes the formulation of the Boost library (53-bit implementation of erf.hpp, developed by John Maddock). Plot of the function:

For more details, see Wikipedia.

Example

erf(0)    // = 0
erf(10)   // = 1
erf(0.5)  // = 0.520499877813047

See also

erfc, erfInv, erfcInv.

Inputs

TypeNameDefaultDescription
RealuInput argument

Outputs

TypeNameDefaultDescription
Realy= 2/sqrt(pi)*Integral_0_u exp(-t^2)*dt

Revisions

Date Description
June 22, 2015
DLR logo Initial version implemented by A. Klöckner, F. v.d. Linden, D. Zimmer, M. Otter.
DLR Institute of System Dynamics and Control