g01pt returns the value of the first moment Φ1x of the Landau density function.

Syntax

C#
public static double g01pt(
	double x
)
Visual Basic
Public Shared Function g01pt ( _
	x As Double _
) As Double
Visual C++
public:
static double g01pt(
	double x
)
F#
static member g01pt : 
        x : float -> float 

Parameters

x
Type: System..::..Double
On entry: the argument x of the function.

Return Value

g01pt returns the value of the first moment Φ1x of the Landau density function.

Description

g01pt evaluates an approximation to the first moment Φ1x of the Landau density function given by
Φ1x=1Φx-xλϕλdλ,
where ϕλ is described in g01mt, using piecewise approximation by rational functions. Further details can be found in Kölbig and Schorr (1984).
To obtain the value of Φ2x, g01qt can be used.

References

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

Error Indicators and Warnings

There are no failure exits from this routine.

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.

Parallelism and Performance

None.

Further Comments

None.

Example

This example evaluates Φ1x at x=0.5, and prints the results.

Example program (C#): g01pte.cs

Example program data: g01pte.d

Example program results: g01pte.r

See Also