Java Program to Implement Solovay Strassen Primality Test Algorithm

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This is a Java Program to Implement Solovay Strassen Primality Test Algorithm. Solovay Strassen Primality Test is an algorithm which is used to determine if a given number is prime or not.

Here is the source code of the Java Program to Implement Solovay Strassen Primality Test Algorithm. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.

  1. /**
  2.  ** Java Program to Implement SolovayStrassen Primality Test Algorithm
  3.  **/
  4.  
  5. import java.util.Scanner;
  6. import java.util.Random;
  7.  
  8. /** Class SolovayStrassen **/
  9. public class SolovayStrassen
  10. {
  11.     /** Function to calculate jacobi (a/b) **/
  12.     public long Jacobi(long a, long b)
  13.     {
  14.         if (b <= 0 || b % 2 == 0)
  15.             return 0;
  16.         long j = 1L;
  17.         if (a < 0)
  18.         {
  19.             a = -a;
  20.             if (b % 4 == 3)
  21.                 j = -j;
  22.         }
  23.         while (a != 0)
  24.         {
  25.             while (a % 2 == 0)
  26.             {
  27.                 a /= 2;
  28.                 if (b % 8 == 3 || b % 8 == 5)
  29.                     j = -j;
  30.             }
  31.  
  32.             long temp = a;
  33.             a = b;
  34.             b = temp;
  35.  
  36.             if (a % 4 == 3 && b % 4 == 3)
  37.                 j = -j;
  38.             a %= b;
  39.         }
  40.         if (b == 1)
  41.             return j;
  42.         return 0;
  43.     }
  44.     /** Function to check if prime or not **/
  45.     public boolean isPrime(long n, int iteration)
  46.     {
  47.         /** base case **/
  48.         if (n == 0 || n == 1)
  49.             return false;
  50.         /** base case - 2 is prime **/
  51.         if (n == 2)
  52.             return true;
  53.         /** an even number other than 2 is composite **/
  54.         if (n % 2 == 0)
  55.             return false;
  56.  
  57.         Random rand = new Random();
  58.         for (int i = 0; i < iteration; i++)
  59.         {
  60.             long r = Math.abs(rand.nextLong());            
  61.             long a = r % (n - 1) + 1;
  62.             long jacobian = (n + Jacobi(a, n)) % n;
  63.             long mod = modPow(a, (n - 1)/2, n);
  64.             if(jacobian == 0 || mod != jacobian) 
  65.                 return false;
  66.         }
  67.         return true;        
  68.     }
  69.     /** Function to calculate (a ^ b) % c **/
  70.     public long modPow(long a, long b, long c)
  71.     {
  72.         long res = 1;
  73.         for (int i = 0; i < b; i++)
  74.         {
  75.             res *= a;
  76.             res %= c; 
  77.         }
  78.         return res % c;
  79.     }    
  80.     /** Main function **/
  81.     public static void main (String[] args) 
  82.     {
  83.         Scanner scan = new Scanner(System.in);
  84.         System.out.println("SolovayStrassen Primality Algorithm Test\n");
  85.         /** Make an object of SolovayStrassen class **/
  86.         SolovayStrassen ss = new SolovayStrassen();
  87.         /** Accept number **/
  88.         System.out.println("Enter number\n");
  89.         long num = scan.nextLong();
  90.         /** Accept number of iterations **/
  91.         System.out.println("\nEnter number of iterations");
  92.         int k = scan.nextInt();
  93.         /** check if prime **/
  94.         boolean prime = ss.isPrime(num, k);
  95.         if (prime)
  96.             System.out.println("\n"+ num +" is prime");
  97.         else
  98.             System.out.println("\n"+ num +" is composite");        
  99.     }
  100. }

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SolovayStrassen Primality Algorithm Test
 
Enter number
 
9997777
 
Enter number of iterations
1
 
9997777 is prime

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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn