48 lines
1.5 KiB
Java
48 lines
1.5 KiB
Java
package Misc;
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import java.util.*;
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/*
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*A matrix is sparse if many of its coefficients are zero (In general if 2/3rd of matrix elements are 0, it is considered as sparse).
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*The interest in sparsity arises because its exploitation can lead to enormous computational savings and because many large matrix problems that occur in practice are sparse.
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*
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* @author Ojasva Jain
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*/
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class Sparcity{
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/*
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* @return Sparcity of matrix
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*
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* where sparcity = number of zeroes/total elements in matrix
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*
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*/
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static double sparcity(double [][] mat){
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int zero =0;
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//Traversing the matrix to count number of zeroes
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for(int i=0;i<mat.length;i++){
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for(int j=0;j<mat[i].length;j++){
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if(mat[i][j]==0)
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zero++;
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}
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}
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//return sparcity
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return ((double)zero/(mat.length*mat[1].length));
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}
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//Driver method
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public static void main(String [] args){
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Scanner in = new Scanner(System.in);
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System.out.println("Enter number of rows in matrix: ");
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int n = in.nextInt();
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System.out.println("Enter number of Columns in matrix: ");
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int m = in.nextInt();
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System.out.println("Enter Matrix elements: ");
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double [][] mat = new double[n][m];
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for(int i=0;i<n;i++){
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for(int j=0;j<m;j++){
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mat[i][j] = in.nextDouble();
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}
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}
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System.out.println("Sparcity of matrix is: "+ sparcity(mat));
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}
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}
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