prunf

this function generates random numbers which follow uniform distribution <code>[0,1]</code>

Provides functions for generating pseudo-random numbers that follow a uniform distribution [0,1]. Randomness tests were conducted using the National Institute of Standards and Technology test suite<https://csrc.nist.gov/pubs/sp/800/22/r1/upd1/final>, along with additional tests. The sequence generated depends on the initial values and parameters. The package includes a linear congruence map as the decision map and three chaotic maps to generate the pseudo-random sequence, which follow a uniform distribution. Other distributions can be generated from the uniform distribution using the Inversion Principle Method and BOX-Muller transformation. Small perturbations in seed values result in entirely different sequences of numbers due to the sensitive nature of the maps being used. The chaotic nature of the maps helps achieve randomness in the generator. Additionally, the generator is capable of producing random bits.

Sajad Ahmad Mir

PRNG

A Pseudo-Random Number Generator

Dr. Puneet Sharma

prunf function

<dl><dt>N</dt>
<dd>How many numbers are required</dd>
<dt>Time</dt>
<dd>if enabled TRUE the numbers are time dependent</dd>
<dt>n0</dt>
<dd>seed value of linear congruence map it can take value of any natural number</dd>
<dt>x00</dt>
<dd>seed value of saw-tooth map values from 0 to 1</dd>
<dt>x01</dt>
<dd>seed value of logistic map values from 0 to 1</dd>
<dt>x02</dt>
<dd>seed value of baker map</dd>
<dt>a1</dt>
<dd>parameter of logistic map the value takes from 3.5 to 4</dd>
<dt>a2</dt>
<dd>parameter of baker map the value it takes values greater than or equalt to 0.5</dd></dl>

Arguments

Uniformly  Pseudo random  number generator — prunf

<dl>

<dt>N</dt>
<dd>How many numbers are required</dd>


<dt>Time</dt>
<dd>if enabled TRUE the numbers are time dependent</dd>


<dt>n0</dt>
<dd>seed value of linear congruence map it can take value of any natural number</dd>


<dt>x00</dt>
<dd>seed value of saw-tooth map values from 0 to 1</dd>


<dt>x01</dt>
<dd>seed value of logistic map values from 0 to 1</dd>


<dt>x02</dt>
<dd>seed value of baker map</dd>


<dt>a1</dt>
<dd>parameter of logistic map the value takes from 3.5 to 4</dd>


<dt>a2</dt>
<dd>parameter of baker map the value it takes values greater than or equalt to 0.5</dd>

</dl>

prunf: Uniformly Pseudo random number generator

Description

Usage

Value

Arguments

Examples