g05tf Method
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g05tf generates a vector of pseudorandom integers from the discrete logarithmic distribution with parameter a.

Syntax

C#
public static void g05tf(
	int mode,
	int n,
	double a,
	double[] r,
	G05..::.G05State g05state,
	int[] x,
	out int ifail
)
Visual Basic (Declaration)
Public Shared Sub g05tf ( _
	mode As Integer, _
	n As Integer, _
	a As Double, _
	r As Double(), _
	g05state As G05..::.G05State, _
	x As Integer(), _
	<OutAttribute> ByRef ifail As Integer _
)
Visual C++
public:
static void g05tf(
	int mode, 
	int n, 
	double a, 
	array<double>^ r, 
	G05..::.G05State^ g05state, 
	array<int>^ x, 
	[OutAttribute] int% ifail
)
F#
static member g05tf : 
        mode:int * 
        n:int * 
        a:float * 
        r:float[] * 
        g05state:G05..::.G05State * 
        x:int[] * 
        ifail:int byref -> unit 

Parameters

mode
Type: System..::.Int32
On entry: a code for selecting the operation to be performed by the method.
mode=0
Set up reference vector only.
mode=1
Generate variates using reference vector set up in a prior call to g05tf.
mode=2
Set up reference vector and generate variates.
mode=3
Generate variates without using the reference vector.
Constraint: mode=0, 1, 2 or 3.
n
Type: System..::.Int32
On entry: n, the number of pseudorandom numbers to be generated.
Constraint: n0.
a
Type: System..::.Double
On entry: a, the parameter of the logarithmic distribution.
Constraint: 0.0<a<1.0.
r
Type: array< System..::.Double >[]()[]
An array of size [lr]
Note: lr must satisfy the constraint:
  • if mode=0 or 2, lr must not be too small, but the lower limit is too complicated to specify;
  • if mode=1, lr must remain unchanged from the previous call to g05tf.
On entry: if mode=1, the reference vector from the previous call to g05tf.
If mode=3, r is not referenced by g05tf.
On exit: the reference vector.
g05state
Type: NagLibrary..::.G05..::.G05State
An object of type G05.G05State.
x
Type: array< System..::.Int32 >[]()[]
An array of size [n]
On exit: the n pseudorandom numbers from the specified logarithmic distribution.
ifail
Type: System..::.Int32 %
On exit: ifail=0 unless the method detects an error (see [Error Indicators and Warnings]).

Description

g05tf generates n integers xi from a discrete logarithmic distribution, where the probability of xi=I is
P xi=I = - aI I × log1-a I=1,2, ,
where 0<a<1.
The variates can be generated with or without using a search table and index. If a search table is used then it is stored with the index in a reference vector and subsequent calls to g05tf with the same parameter value can then use this reference vector to generate further variates.

References

Error Indicators and Warnings

Accuracy

Further Comments

Example

See Also