G01ETF (PDF version)
G01 Chapter Contents
G01 Chapter Introduction
NAG Library Manual

NAG Library Routine Document


Note:  before using this routine, please read the Users' Note for your implementation to check the interpretation of bold italicised terms and other implementation-dependent details.


    1  Purpose
    7  Accuracy

1  Purpose

G01ETF returns the value of the Landau distribution function Φλ, via the routine name.

2  Specification

REAL (KIND=nag_wp) G01ETF
REAL (KIND=nag_wp)  X

3  Description

G01ETF evaluates an approximation to the Landau distribution function Φλ given by
where ϕλ is described in G01MTF, using piecewise approximation by rational functions. Further details can be found in Kölbig and Schorr (1984).

4  References

Kölbig K S and Schorr B (1984) A program package for the Landau distribution Comp. Phys. Comm. 31 97–111

5  Parameters

1:     X – REAL (KIND=nag_wp)Input
On entry: the argument λ of the function.

6  Error Indicators and Warnings


7  Accuracy

At least 7 significant digits are usually correct, but occasionally only 6. Such accuracy is normally considered to be adequate for applications in experimental physics.
Because of the asymptotic behaviour of Φλ, which is of the order of exp-exp-λ, underflow may occur on some machines when λ is moderately large and negative.

8  Parallelism and Performance

Not applicable.

9  Further Comments


10  Example

This example evaluates Φλ at λ=0.5, and prints the results.

10.1  Program Text

Program Text (g01etfe.f90)

10.2  Program Data

Program Data (g01etfe.d)

10.3  Program Results

Program Results (g01etfe.r)

G01ETF (PDF version)
G01 Chapter Contents
G01 Chapter Introduction
NAG Library Manual

© The Numerical Algorithms Group Ltd, Oxford, UK. 2015