Posted by : Naveen's Blogs
Tuesday, 29 April 2014
#include< iostream >
#define INFINITY 999
using namespace std;
class Dijkstra
{
private:
int adjMatrix[15][15];
int predecessor[15],distance[15];
bool mark[15]; //keep track of visited node
int source;
int numOfVertices;
public:
/*
* Function read() reads No of vertices, Adjacency Matrix and source
* Matrix from the user. The number of vertices must be greather than
* zero, all members of Adjacency Matrix must be postive as distances
* are always positive. The source vertex must also be positive from 0
* to noOfVertices - 1
*/
void read();
/*
* Function initialize initializes all the data members at the begining of
* the execution. The distance between source to source is zero and all other
* distances between source and vertices are infinity. The mark is initialized
* to false and predecessor is initialized to -1
*/
void initialize();
/*
* Function getClosestUnmarkedNode returns the node which is nearest from the
* Predecessor marked node. If the node is already marked as visited, then it search
* for another node.
*/
int getClosestUnmarkedNode();
/*
* Function calculateDistance calculates the minimum distances from the source node to
* Other node.
*/
void calculateDistance();
/*
* Function output prints the results
*/
void output();
void printPath(int);
};
void Dijkstra::read()
{
cout<<"Enter the number of vertices of the graph(should be > 0)\n";
cin>>numOfVertices;
while(numOfVertices <= 0)
{
cout<<"Enter the number of vertices of the graph(should be > 0)\n";
cin>>numOfVertices;
}
cout<<"Enter the adjacency matrix for the graph\n";
cout<<"To enter infinity enter "<< INFINITY<< endl;
for(int i=0;i< numOfVertices;i++)
{
cout<<"Enter the (+ve)weights for the row "<< i << endl;
for(int j=0;j< numOfVertices;j++)
{
cin>>adjMatrix[i][j];
while(adjMatrix[i][j]<0)
{
cout<<"Weights should be +ve. Enter the weight again\n";
cin>>adjMatrix[i][j];
}
}
}
cout<<"Enter the source vertex\n";
cin>>source;
while((source<0) && (source>numOfVertices-1))
{
cout<<"Source vertex should be between 0 and"<< numOfVertices-1<< endl;
cout<<"Enter the source vertex again\n";
cin>>source;
}
}
voidpre Dijkstra::initialize()
{
for(int i=0;i< numOfVertices;i++)
{
mark[i] = false;
predecessor[i] = -1;
distance[i] = INFINITY;
}
distance[source]= 0;
}
int Dijkstra::getClosestUnmarkedNode()
{
int minDistance = INFINITY;
int closestUnmarkedNode;
for(int i=0;i< numOfVertices;i++)
{
if((!mark[i]) && ( minDistance >= distance[i]))
{
minDistance = distance[i];
closestUnmarkedNode = i;
}
}
return closestUnmarkedNode;
}
void Dijkstra::calculateDistance()
{
initialize();
int minDistance = INFINITY;
int closestUnmarkedNode;
int count = 0;
while(count < numOfVertices)
{
closestUnmarkedNode = getClosestUnmarkedNode();
mark[closestUnmarkedNode] = true;
for(int i=0;i< numOfVertices;i++)
{
if((!mark[i]) && (adjMatrix[closestUnmarkedNode][i]>0) )
{
if(distance[i] > distance[closestUnmarkedNode]+adjMatrix[closestUnmarkedNode][i])
{
distance[i] = distance[closestUnmarkedNode]+adjMatrix[closestUnmarkedNode][i];
predecessor[i] = closestUnmarkedNode;
}
}
}
count++;
}
}
void Dijkstra::printPath(int node)
{
if(node == source)
cout<<(char)(node + 97)<<"..";
else if(predecessor[node] == -1)
cout<<"No path from “<< source<<”to "<<(char)(node + 97)<< endl;
else
{
printPath(predecessor[node]);
cout<<(char) (node + 97)<<"..";
}
}
void Dijkstra::output()
{
for(int i=0;i< numOfVertices;i++)
{
if(i == source)
cout<<(char)(source + 97)<<".."<< source;
else
printPath(i);
cout<<"->"<< distance[i]<< endl;
}
}
int main()
{
Dijkstra G;
G.read();
G.calculateDistance();
G.output();
return 0;
}
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