﻿ g05tl Method
g05tl generates a vector of pseudorandom integers uniformly distributed over the interval $\left[a,b\right]$.

# Syntax

C#
```public static void g05tl(
int n,
int a,
int b,
G05..::..G05State g05state,
int[] x,
out int ifail
)```
Visual Basic
```Public Shared Sub g05tl ( _
n As Integer, _
a As Integer, _
b As Integer, _
g05state As G05..::..G05State, _
x As Integer(), _
<OutAttribute> ByRef ifail As Integer _
)```
Visual C++
```public:
static void g05tl(
int n,
int a,
int b,
G05..::..G05State^ g05state,
array<int>^ x,
[OutAttribute] int% ifail
)```
F#
```static member g05tl :
n : int *
a : int *
b : int *
g05state : G05..::..G05State *
x : int[] *
ifail : int byref -> unit
```

#### Parameters

n
Type: System..::..Int32
On entry: $n$, the number of pseudorandom numbers to be generated.
Constraint: ${\mathbf{n}}\ge 0$.
a
Type: System..::..Int32
On entry: the end points $a$ and $b$ of the uniform distribution.
Constraint: ${\mathbf{a}}\le {\mathbf{b}}$.
b
Type: System..::..Int32
On entry: the end points $a$ and $b$ of the uniform distribution.
Constraint: ${\mathbf{a}}\le {\mathbf{b}}$.
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 uniform distribution.
ifail
Type: System..::..Int32%
On exit: ${\mathbf{ifail}}={0}$ unless the method detects an error or a warning has been flagged (see [Error Indicators and Warnings]).

# Description

g05tl generates the next $n$ values ${y}_{i}$ from a uniform $\left(0,1\right]$ generator (see g05sa for details) and applies the transformation
 $xi=a+b-a+1yi,$
where $⌊z⌋$ is the integer part of the real value $z$. The method ensures that the values ${x}_{i}$ lie in the closed interval $\left[a,b\right]$.
One of the initialization methods (G05KFF not in this release) (for a repeatable sequence if computed sequentially) or (G05KGF not in this release) (for a non-repeatable sequence) must be called prior to the first call to g05tl.

# References

Knuth D E (1981) The Art of Computer Programming (Volume 2) (2nd Edition) Addison–Wesley

# Error Indicators and Warnings

Errors or warnings detected by the method:
${\mathbf{ifail}}=1$
On entry, ${\mathbf{n}}<0$.
${\mathbf{ifail}}=3$
On entry, ${\mathbf{b}}<{\mathbf{a}}$.
${\mathbf{ifail}}=4$
 On entry, state vector was not initialized or has been corrupted.
${\mathbf{ifail}}=-9000$
An error occured, see message report.
${\mathbf{ifail}}=-8000$
Negative dimension for array $〈\mathit{\text{value}}〉$
${\mathbf{ifail}}=-6000$
Invalid Parameters $〈\mathit{\text{value}}〉$

Not applicable.

None.