add tupple form

algorithms/CPlusPlus/Arrays/sparse_matrix.cpp

@@ -1,40 +1,96 @@
 /*Description :c++ solution to check if a given matrix is sparse matrix.
 If the count of zeroes present in the mmatrix is more than half the elements of the matrix, 
-it is flagged as a sparse matrix.*/
+it is flagged as a sparse matrix.
+Also the tuple form of the matrix(if the said matrix is sparse) is displayed.*/
 
 
 #include<iostream>
 using namespace std;
+
+int compactMatrix(int sparseMatrix[4][5])
+{
+	int size = 0;
+	for (int i = 0; i < 4; i++)
+		for (int j = 0; j < 5; j++)
+			if (sparseMatrix[i][j] != 0)
+				size++;
+
+	/* number of columns in compactMatrix (size) must be
+	   equal to number of non - zero elements in sparseMatrix */
+	int compactMatrix[size][3];
+
+	// Making of new matrix
+	int k = 0;
+	for (int i = 0; i < 4; i++)
+		for (int j = 0; j < 5; j++)
+			if (sparseMatrix[i][j] != 0)
+			{
+				compactMatrix[k][0] = i;
+				compactMatrix[k][1] = j;
+				compactMatrix[k][2] = sparseMatrix[i][j];
+				k++;
+			}
+  cout<<"The tuple form is:"<<endl;
+	for (int i=0; i<size; i++)
+	{
+		for (int j=0; j<3; j++)
+			cout <<" "<< compactMatrix[i][j];
+
+		cout <<"\n";
+	}
+	return 0;
+}
+
 int main () {
-   int a[10][10] = { {0, 0, 9} , {5, 0, 8} , {7, 0, 0} };
+   int sparseMatrix[4][5] =
+	{
+		{0 , 0 , 3 , 0 , 4 },
+		{0 , 0 , 5 , 7 , 0 },
+		{0 , 0 , 0 , 0 , 0 },
+		{0 , 2 , 6 , 0 , 0 }
+	};
    int i, j, count = 0;
-   int row = 3, col = 3;
+   int row = 4, col = 5;
    for (i = 0; i < row; ++i) {
       for (j = 0; j < col; ++j){
-         if (a[i][j] == 0)
+         if (sparseMatrix[i][j] == 0)
          count++;
       }
    }
    cout<<"The matrix is:"<<endl;
    for (i = 0; i < row; ++i) {
       for (j = 0; j < col; ++j) {
-         cout<<a[i][j]<<" ";
+         cout<<sparseMatrix[i][j]<<" ";
       }
       cout<<endl;
    }
    cout<<"The number of zeros in the matrix are "<< count <<endl;
    if (count > ((row * col)/ 2))
+      {
          cout<<"This is a sparse matrix"<<endl;
+         compactMatrix(sparseMatrix);
+      }
    else
    cout<<"This is not a sparse matrix"<<endl;
    return 0;
 }
 
+
+
+
 /*output
 The matrix is:
-0 0 9
+0 0 3 0 4 
-5 0 8
+0 0 5 7 0 
-7 0 0
+0 0 0 0 0 
-The number of zeros in the matrix are 5
+0 2 6 0 0 
+The number of zeros in the matrix are 14
 This is a sparse matrix
+The tuple form is:
+ 0 2 3
+ 0 4 4
+ 1 2 5
+ 1 3 7
+ 3 1 2
+ 3 2 6
 */