Error function of complex numbers

Extend the error function to the complex plane.

Description

This package contains two MATLAB functions e=ERF(r) and e=ERFZ(z)} as MEX-files for Windows. ERF overloads the default MATLAB error function of real-valued numbers with a much faster implementation. ERFZ enhances ERF to evaluate the error function of complex numbers too. If called with real numbers, it is identical to ERF and equally fast. ERFZ can replace ERF if no error message is required when called with complex numbers. For compatibility with operating systems other than Windows on x86 processors, ERFZ is egally implemented as a normal M-file, which relies upon the default ERF by MATLAB.

Implementation details are found in the attached PDF manual.

• MATLAB release: MATLAB 6.1 (R12.1)
• Other requirements: x86 Windows platform (MEX-files); none (M-file).

[Per Sundqvist]

Well I don't know about the speed of your routines but I guess its ok. As you maby have seen I submitted "erfi" using matlabs internal function gammainc (which runs in fortran speed). By a simple substitution one could alternatively get:

erf(z)=i*erfi(-i*z)

since my function covers the general complex case. The intermediate case for asymptotic and medium value of z, has perhaps to be improved I admitt.

[A Asheim]

Works fine.
I use this for a wide range of parameters, then Per's implemetation is no good(NaN for large values). I have not checked why. When speed is not an issue I would recommend this(Marcels) implementation.

[Bora Ung]

Works well. Speedwise, this implementation seems to be on par with Godfrey's (file ID: 3574) which I currently use for small to medium range of the complex argument. It would be interesting to compare the accuracy and range of both implementations.

[Felix]

Works Great, Thank you

[Zeqë]

How could I use the code if I have the R2010b version?