/********************************************************************************
In this project you will design and implement a class that can generate a sequence
of pseudorandom integers, which is a sequence that appears random in many ways.
The
approach uses the linear congruence method, explained below.
The linear congruence method starts with a number called the seed. In addition
to the seed,
three other numbers are used in the linear congruence method, called the multiplier,
the increment, and the modulus. The formula for generting a sequence of pseudorandom
numbers is quite simple. The first number is:
(multiplier * seed + increment) % modulus
This formula uses the C++ % operator, which computes
the remainder from an integer
division.
Each time a new random number is computed, the value of the seed is changed
to that new number.
For example, we could implement a pseudorandom number generator with multiplier
= 40,
increment = 3641, and modulus = 729. If we choose the seed to be 1, then the
sequence of numbers
will proceed as shown here:
First number
=(multiplier * seed + increment) % modulus
=(40 * 1 + 3641) % 729
=36
and 36 becomes the new seed
Next number
=(multiplier * seed + increment) % modulus
=(40 * 36 + 3641) % 729
=707
and 707 becomes the new seed
Next number
=(multiplier * seed + increment) % modulus
=(40 * 707 + 3641) % 729
=574
and 574 becomes the new seed, and so on
These particular values for multiplier, increment, and
modulus happen to be good
choices. The pattern generated will not repeat until 729 different numbers have
been
produced. Other choices for the constants might not be so good.
For this project, design and implement a class that can generate a pseudorandom
sequence
in the manner described. The initial seed, multiplier, increment, and modulus
should all
be parameters of the constructor. There should also be a member function to
permit the seed
to be changed, and a member function to generate and return the next number
in the
pseudorandom sequence.
********************************************************************************/
#include <iostream.h>
#include <conio.h>
#include <math.h>
#include "Pseudo.h"
//---------------------------------------------------------------------------
#pragma hdrstop
//---------------------------------------------------------------------------
#pragma argsused
int main(int argc, char* argv[])
{
Pseudorandom MySequence(1,40,3641,729);
cout<<"First Number"<<endl;
cout<<MySequence.next_number()<<endl;
cout<<endl;
for (int i = 1; i<=3;i++)
{
cout<<"Next number"<<endl;
cout<<MySequence.next_number()<<endl;
cout<<endl;
}
getchar();
return 0;
}
//---------------------------------------------------------------------------
//Pseudo.cpp file
#include <math.h>
#include "Pseudo.h"
//CONSTRUCTORS
Pseudorandom ::Pseudorandom ( int ini_seed,int ini_multiplier,int ini_increment,int
ini_modulus)
{
seed = ini_seed;
multiplier = ini_multiplier;
increment = ini_increment;
modulus = ini_modulus;
}
//MODIFICATION MEMBER FUNCTIONS
void Pseudorandom ::change_seed (int new_seed)
{
seed = new_seed;
}
int Pseudorandom ::next_number()
{
int next ;
next = ( (multiplier * seed) + increment) % modulus ;
seed = next;
return next;
}
//************************************************************************************************
//Pseudo.h Header File
#ifndef Pseudo_H
#define Pseudo_H
class Pseudorandom
{
public:
//CONSTRUCTORS
Pseudorandom ::Pseudorandom ( int ini_seed,int ini_multiplier,int ini_increment,int ini_modulus);
//MODIFICATION MEMBER FUNCTIONS
void Pseudorandom ::change_seed (int new_seed);
int Pseudorandom ::next_number();
//CONSTANT MEMBER FUNCTIONS
private:
int seed;
int multiplier;
int increment;
int modulus;
};
#endif
//*****************************************************************************************
Copyright © 2002 GJ GUILLERMO JULCA