Skip to content
Related Articles

Related Articles

Java Program to Generate Random Numbers Using Multiply with Carry Method
  • Last Updated : 04 Dec, 2020

In computer science, multiply-with-carry (MWC) is a method invented by George Marsaglia for generating sequences of random integers based on an initial set from two to many thousands of randomly chosen seed values. The main advantage of the MWC method is that it invokes simple computer integer arithmetic and leads to the very fast generation of sequences of random numbers with immense periods, ranging from around 260 to 22000000.

Example:

Input : Length = 5
Output: 1581 16 1932 1969 1384

Input : Length = 2
Output: 985 3568

Formula used:

x(n) = (a*x(n-r) + c(n-1))mod n

c(n) = (a*x(n-r) + c(n-1))/n



where,

  1.  a is any multiplier,
  2.  m is modulus, 
  3.  c is carry, and
  4.  r is a initial number of seeds.

Java

filter_none

edit
close

play_arrow

link
brightness_4
code

// Java Program to generate a random numbers
// Based on Multiply with carry method
import java.util.Random;
public class Main {
  
    public static void main(String args[])
    {
        int Maximum_Sequence_Elements = 10;
        Random random = new Random();
        int Base = 2000;
        int Multiplier = random.nextInt(Base);
        int r = 1;
        int[] c = new int[Maximum_Sequence_Elements];
        int[] x = new int[Maximum_Sequence_Elements];
        c[0] = random.nextInt(Multiplier);
        x[0] = random.nextInt(Base);
        System.out.print("The random number sequence is: "
                         + x[0]);
  
        // generating sequence
  
        for (int i = 1; i < Maximum_Sequence_Elements;
             i++) {
            x[i]
                = (Multiplier * x[i - r] + c[i - 1]) % Base;
            c[i]
                = (Multiplier * x[i - r] + c[i - 1]) / Base;
            System.out.print(" " + x[i]);
        }
    }
}

chevron_right


Output

The random number sequence is: 508 1021 1549 857 414 1187 1425 1557 1945 1922

Attention reader! Don’t stop learning now. Get hold of all the important Java Foundation and Collections concepts with the Fundamentals of Java and Java Collections Course at a student-friendly price and become industry ready.

My Personal Notes arrow_drop_up
Recommended Articles
Page :