Created
November 1, 2015 19:59
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Dijkstra's algorithm alternate
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#include<iostream> | |
#include<queue> | |
#include<stack> | |
using namespace std; | |
class Graph{ | |
int nodes; //No of nodes in the graph | |
int **A; //A is the adjacency matrix => the graph datastructure | |
public: | |
Graph(int nodes){ | |
this->nodes = nodes; | |
A = new int*[nodes]; | |
for(int i=0;i<nodes;++i){ | |
A[i] = new int[nodes]; | |
} | |
for(int i=0;i<nodes;++i) | |
for(int j=0;j<nodes;++j){ | |
A[i][j] = 0; | |
} | |
} | |
void printAdjacencyMatrix(){ | |
for(int i=0;i<nodes;++i){ | |
for(int j=0;j<nodes;++j){ | |
cout<<A[i][j]<<" "; | |
} | |
cout<<endl; | |
} | |
} | |
void addEdge(int node1,int node2, int weight){ | |
A[node1-1][node2-1] = weight; | |
} | |
bool isAdjacent(int node1,int node2){ | |
return A[node1-1][node2 - 1] != 0; | |
} | |
bool allNodesVisited(bool* array){ | |
for(int i=1;i<=nodes;++i) | |
if(array[i] == false) | |
return false; | |
return true; | |
} | |
//is node1 reachable from node 2, ie. is there a edge from node2 to node1 | |
bool isReachableFrom(int node1,int node2){ | |
return A[node2-1][node1-1] != 0; | |
} | |
int getWeight(int node1,int node2){ | |
return A[node1-1][node2-1]; | |
} | |
int getMinimumUnvisitedNode(bool* visited, int* costArray){ | |
int minIndex = 1; | |
for(int i=1;i<=nodes;++i){ | |
if(visited[i] == false && costArray[i] <= costArray[minIndex]){ | |
minIndex = i; | |
} | |
} | |
return minIndex; | |
} | |
void getMinimumNode(bool* visited,int& startNode, int* costArray,int& weightSoFar){ | |
for(int i=1;i<=nodes;++i){ | |
if(isReachableFrom(i,startNode)){ | |
if(getWeight(startNode,i) + weightSoFar < costArray[i] && visited[i] == false) | |
costArray[i] = getWeight(startNode,i) + weightSoFar; | |
} | |
} | |
int minNode = getMinimumUnvisitedNode(visited,costArray); | |
//cout<<"Minimum Node: "<<minNode<<endl; | |
//cout<<"Minimum Weight: "<<costArray[minNode]<<endl; | |
visited[minNode] = true; | |
weightSoFar = costArray[minNode]; | |
startNode = minNode; | |
if(weightSoFar != 10000) | |
cout<<"Cost to reach: "<<startNode<<" ("<<weightSoFar<<") "<<endl; | |
else | |
cout<<"Cannot reach: "<<startNode<<endl; | |
} | |
void printArrayContents(int* array){ | |
for(int i=1;i<nodes+1;++i){ | |
cout<<array[i]<<" | "; | |
} | |
cout<<endl; | |
} | |
void getShortestPath(int startNode){ | |
bool* visited = new bool[nodes+1]; | |
for(int i=0;i<nodes+1;++i){ | |
visited[i] = false; | |
} | |
int* costArray = new int[nodes+1]; | |
for(int i=0;i<nodes+1;++i){ | |
costArray[i] = 10000; | |
} | |
int weightSoFar = 0; | |
cout<<"Starting from node: "<<startNode<<endl; | |
visited[startNode] = true; | |
for(int i=1;i<=nodes-1;++i){ | |
getMinimumNode(visited,startNode,costArray,weightSoFar); | |
// printArrayContents(costArray); | |
// cout<<"Start Node: "<<startNode<<endl; | |
} | |
cout<<endl; | |
} | |
~Graph(){ | |
for (int i = 0; i < nodes; ++i) | |
delete [] A[i]; | |
delete [] A; | |
} | |
}; | |
int main(){ | |
Graph g(8); | |
g.addEdge(1,2,20); | |
g.addEdge(1,7,90); | |
g.addEdge(7,1,20); | |
g.addEdge(1,4,80); | |
g.addEdge(2,6,10); | |
g.addEdge(5,2,50); | |
g.addEdge(3,4,10); | |
g.addEdge(4,3,10); | |
g.addEdge(3,8,20); | |
g.addEdge(3,6,50); | |
g.addEdge(6,3,10); | |
g.addEdge(6,4,40); | |
g.addEdge(4,7,20); | |
g.addEdge(5,7,30); | |
//g.printAdjacencyMatrix(); | |
g.getShortestPath(1); | |
return 0; | |
} |
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