C++ Program to Implement Sparse Matrix

This C++ Program demonstrates the implementation of Sparse Matrix.

Here is source code of the C++ Program to demonstrate the implementation of Sparse Matrix. The C++ program is successfully compiled and run on a Linux system. The program output is also shown below.

  1. /*
  2.  * C++ Program to Implement Sparse Matrix
  3.  */
  4. #include <iostream>
  5. #include <iomanip>
  6. #include <string>
  7. using namespace std;  
  8.  
  9. /*
  10.  * Class List Declaration
  11.  */
  12. class List
  13. {
  14.     private: 
  15.         int index;
  16.         int value;
  17.         List *nextindex;
  18.     public: 
  19.         List(int index)
  20.         {
  21.             this->index = index;
  22.             nextindex = NULL;
  23.             value = NULL;
  24.         }
  25.         List()
  26.         {
  27.             index = -1;
  28.             value = NULL;
  29.             nextindex = NULL;
  30.         }
  31.         void store(int index, int value)
  32.         {
  33.             List *current = this;
  34.             List *previous = NULL;
  35.             List *node = new List(index);
  36.             node->value = value;
  37.             while (current != NULL && current->index < index)
  38.             {
  39.                 previous = current;
  40.                 current = current->nextindex;
  41.             }
  42.             if (current == NULL)
  43.             {
  44.                 previous->nextindex = node;
  45.             } 
  46.             else
  47.             {
  48.                 if (current->index == index)
  49.                 {
  50.                     cout<<"DUPLICATE INDEX"<<endl;
  51.                     return;
  52.                 }
  53.                 previous->nextindex = node;
  54.                 node->nextindex = current;
  55.             }
  56.             return;
  57.         }
  58.  
  59.         int fetch(int index)
  60.         {
  61.             List *current = this;
  62.             int value = NULL;
  63.             while (current != NULL && current->index != index)
  64.             {
  65.                 current = current->nextindex;
  66.             }
  67.             if (current != NULL)
  68.             {
  69.                 value = current->value;
  70.             } 
  71.             else
  72.             {
  73.                 value = NULL;
  74.             }
  75.             return value;
  76.         }
  77.  
  78.         int elementCount()
  79.         {
  80.             int elementCount = 0;
  81.             List *current = this->nextindex;
  82.             for ( ; (current != NULL); current = current->nextindex)
  83.             {
  84.                 elementCount++;
  85.             }
  86.             return elementCount;
  87.         }
  88. };
  89. /*
  90.  * Class SpareArray Declaration
  91.  */
  92. class SparseArray
  93. {
  94.     private:
  95.         List *start;
  96.         int index;
  97.     public:
  98.         SparseArray(int index)
  99.         {
  100.             start = new List();
  101.             this->index = index;
  102.         }
  103.         void store(int index, int value)
  104.         {
  105.             if (index >= 0 && index < this->index)
  106.             {
  107.                 if (value != NULL)
  108.                     start->store(index, value);
  109.             } 
  110.             else
  111.             {
  112.                 cout<<"INDEX OUT OF BOUNDS"<<endl;
  113.             }
  114.         }
  115.         int fetch(int index)
  116.         {
  117.             if (index >= 0 && index < this->index)
  118.                 return start->fetch(index);
  119.             else 
  120.             {
  121.                 cout<<"INDEX OUT OF BOUNDS"<<endl;
  122.                 return NULL;
  123.             }
  124.         }
  125.         int elementCount()
  126.         {
  127.             return start->elementCount();
  128.         }
  129. };
  130. /*
  131.  * Class SparseMatrix Declaration
  132.  */
  133. class SparseMatrix
  134. {
  135.     private:
  136.         int N;
  137.         SparseArray **sparsearray;
  138.     public: 
  139.         SparseMatrix(int N)
  140.         {
  141.             this->N = N;
  142.             sparsearray = new SparseArray* [N];
  143.             for (int index = 0; index < N; index++)
  144.             {
  145.                 sparsearray[index] = new SparseArray(N);
  146.             }
  147.         }
  148.         void store(int rowindex, int colindex, int value)
  149.         {
  150.             if (rowindex < 0 || rowindex > N)
  151.             {
  152.                 cout<<"row index out of bounds"<<endl;
  153.                 return;
  154.             }
  155.             if (colindex < 0 || colindex > N)
  156.             {
  157.                 cout<<"col index out of bounds"<<endl;
  158.                 return;
  159.             }
  160.             sparsearray[rowindex]->store(colindex, value);
  161.         }
  162.  
  163.         int get(int rowindex, int colindex)
  164.         {
  165.             if (rowindex < 0 || colindex > N)
  166.             {
  167.                 cout<<"row index out of bounds"<<endl;
  168.                 return 0;
  169.             }
  170.             if (rowindex < 0 || colindex > N)
  171.             {
  172.                 cout<<"col index out of bounds"<<endl;
  173.                 return 0;
  174.             }
  175.             return (sparsearray[rowindex]->fetch(colindex));
  176.         }
  177.         int elementCount()
  178.         {
  179.             int count = 0;
  180.             for (int index = 0; index < N; index++)
  181.             {
  182.                 count += sparsearray[index]->elementCount();
  183.             }
  184.             return count;
  185.         }
  186. };
  187. /*
  188.  * Main
  189.  */
  190. int main()
  191. {
  192.     int iarray[3][3];
  193.     iarray[0][0] = 1;
  194.     iarray[0][1] = NULL;
  195.     iarray[0][2] = 2;
  196.     iarray[1][0] = NULL;
  197.     iarray[1][1] = 3;
  198.     iarray[1][2] = NULL;
  199.     iarray[2][0] = 4;
  200.     iarray[2][1] = 6;
  201.     iarray[2][2] = NULL;
  202.     SparseMatrix sparseMatrix(3);
  203.     for (int rowindex = 0; rowindex < 3; rowindex++)
  204.     {
  205.         for (int colindex = 0; colindex < 3; colindex++)
  206.         {
  207.             sparseMatrix.store(rowindex, colindex, iarray[rowindex][colindex]);
  208.         }
  209.     }
  210.  
  211.     cout<<"the sparse Matrix is: "<<endl;
  212.     for (int rowindex = 0; rowindex < 3; rowindex++)
  213.     {
  214.         for (int colindex = 0; colindex < 3; colindex++)
  215.         {
  216.             if (sparseMatrix.get(rowindex, colindex) == NULL)
  217.                 cout<<"NULL"<< "\t";
  218.             else
  219.                 cout<<sparseMatrix.get(rowindex, colindex) << "\t";
  220.         }
  221.         cout<<endl;
  222.     }
  223.     cout<<"The Size of Sparse Matrix is "<<sparseMatrix.elementCount()<<endl;
  224.  
  225. }

$ g++ sparse_matrix.cpp
$ a.out
 
the sparse Matrix is:
1       NULL    2
NULL    3       NULL
4       6       NULL
The Size of Sparse Matrix is 5
 
 
------------------
(program exited with code: 1)
Press return to continue

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