NAG Library Function Document

nag_init_vavilov (g01zuc)

1

Purpose

2

Specification

3

Description

4

References

5

Arguments

1:    $\mathbf{rkappa}$ – doubleInput

On entry: the argument $\kappa$ of the function.

Constraint: $0.01\le \mathbf{rkappa}\le 10.0$.

2:    $\mathbf{beta2}$ – doubleInput

On entry: the argument ${\beta }^2$ of the function.

Constraint: $0.0\le \mathbf{beta2}\le 1.0$.

3:    $\mathbf{mode}$ – IntegerInput

On entry: if $\mathbf{mode}=0$, nag_prob_density_vavilov (g01muc) is to be called after the call to nag_init_vavilov (g01zuc). Otherwise, nag_prob_vavilov (g01euc) is to be called.

4:    $\mathbf{xl}$ – double *Output

On exit: $x_l$, a threshold value below which ${\varphi }_V\left(\lambda \text{;}\kappa ,{\beta }^2\right)$ will be set to zero by nag_prob_density_vavilov (g01muc) and ${\Phi }_V\left(\lambda \text{;}\kappa ,{\beta }^2\right)$ will be set to zero by nag_prob_vavilov (g01euc) if $\lambda <x_l$.

5:    $\mathbf{xu}$ – double *Output

On exit: $x_u$, a threshold value above which ${\varphi }_V\left(\lambda \text{;}\kappa ,{\beta }^2\right)$ will be set to zero by nag_prob_density_vavilov (g01muc) and ${\Phi }_V\left(\lambda \text{;}\kappa ,{\beta }^2\right)$ will be set to unity by nag_prob_vavilov (g01euc) if $\lambda >x_u$.

6:    $\mathbf{comm\_arr}\left[322\right]$ – doubleCommunication Array

On exit: this argument should be passed unchanged to nag_prob_vavilov (g01euc) or nag_prob_density_vavilov (g01muc).

7:    $\mathbf{fail}$ – NagError *Input/Output

The NAG error argument (see Section 3.7 in How to Use the NAG Library and its Documentation).

6

Error Indicators and Warnings

NE_ALLOC_FAIL

Dynamic memory allocation failed.
See Section 2.3.1.2 in How to Use the NAG Library and its Documentation for further information.

NE_BAD_PARAM

On entry, argument $〈\mathit{\text{value}}〉$ had an illegal value.

NE_INTERNAL_ERROR

An internal error has occurred in this function. Check the function call and any array sizes. If the call is correct then please contact NAG for assistance.
See Section 2.7.6 in How to Use the NAG Library and its Documentation for further information.

NE_NO_LICENCE

Your licence key may have expired or may not have been installed correctly.
See Section 2.7.5 in How to Use the NAG Library and its Documentation for further information.

NE_REAL

On entry, $\mathbf{beta2}=〈\mathit{\text{value}}〉$.
Constraint: $\mathbf{beta2}\le 1.0$.

On entry, $\mathbf{beta2}=〈\mathit{\text{value}}〉$.
Constraint: $\mathbf{beta2}\ge 0.0$.

On entry, $\mathbf{rkappa}=〈\mathit{\text{value}}〉$.
Constraint: $\mathbf{rkappa}\le 10.0$.

On entry, $\mathbf{rkappa}=〈\mathit{\text{value}}〉$.
Constraint: $\mathbf{rkappa}\ge 0.01$.

7

Accuracy

8

Parallelism and Performance

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Further Comments

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Example