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Java Program to Implement Shoelace Algorithm

Posted on November 20, 2013 by Manish
This is a Java Program to Implement Shoelace Algorithm. The shoelace formula, or shoelace algorithm, is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by ordered pairs in the plane

Here is the source code of the Java Program to Implement Shoelace 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 Shoelace Algorithm
  3.  **/
  4.  
  5. import java.util.Scanner;
  6.  
  7. /** Class Shoelace **/
  8. public class Shoelace
  9. {
  10.     /** Function to calculate area **/
  11.     public double area(int[][] arr)
  12.     {
  13.         int n = arr.length;
  14.         /** copy initial point to last row **/
  15.         arr[n - 1][0] = arr[0][0];
  16.         arr[n - 1][1] = arr[0][1];
  17.  
  18.         double det = 0.0;
  19.         /** add product of x coordinate of ith point with y coordinate of (i + 1)th point **/
  20.         for (int i = 0; i < n - 1; i++)
  21.             det += (double)(arr[i][0] * arr[i + 1][1]);
  22.         /** subtract product of y coordinate of ith point with x coordinate of (i + 1)th point **/
  23.         for (int i = 0; i < n - 1; i++)
  24.             det -= (double)(arr[i][1] * arr[i + 1][0]);
  25.  
  26.         /** find absolute value and divide by 2 **/
  27.         det = Math.abs(det);    
  28.         det /= 2;
  29.         return det;        
  30.     }
  31.     /** Main function **/
  32.     public static void main (String[] args) 
  33.     {
  34.         Scanner scan = new Scanner(System.in);
  35.         System.out.println("Shoelace Algorithm Test\n");
  36.         /** Make an object of Shoelace class **/
  37.         Shoelace s = new Shoelace();
  38.  
  39.         /** Accept number of points **/
  40.         System.out.println("\nEnter number of points");
  41.         int n = scan.nextInt();
  42.  
  43.         int[][] arr = new int[n + 1][2];
  44.  
  45.         System.out.println("Enter "+ n +" x, y coordinates");
  46.         for (int i = 0; i < n; i++)
  47.         {
  48.             arr[i][0] = scan.nextInt();
  49.             arr[i][1] = scan.nextInt();
  50.         }
  51.         double area = s.area(arr);
  52.  
  53.         System.out.println("\nArea = "+ area);
  54.     }
  55. }

Shoelace Algorithm Test
 
 
Enter number of points
5
Enter 5 x, y coordinates
3 4
5 11
12 8
9 5
5 6
 
Area = 30.0

Sanfoundry Global Education & Learning Series – 1000 Java Programs.

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Deep Dive @ Sanfoundry:

  1. C Programming Examples on Graph Problems & Algorithms
  2. C Programming Examples on Computational Geometry Problems & Algorithms
  3. C++ Programming Examples on Computational Geometry Problems & Algorithms
  4. Java Programming Examples on Combinatorial Problems & Algorithms
  5. Java Programming Examples on Hard Graph Problems & Algorithms
  6. Java Programming Examples on Graph Problems & Algorithms
  7. Java Programming Examples on Data-Structures
  8. Java Programming Examples on Collection API
  9. Java Programming Examples on Numerical Problems & Algorithms
  10. Java Programming Examples on Computational Geometry Problems & Algorithms
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer and 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 & Cluster Administration, Advanced C Programming, SAN Storage Technologies, SCSI Internals and Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him below:
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