int main(int argc, char *argv[])
{
AdjacentGraph aG("Graph-3.txt");
veci topvertice;
assert(topologicalSort(aG, topvertice) == false);
AdjacentGraph aG1("Graph-4.txt");
assert(topologicalSort(aG1, topvertice) == true);
std::cout << topvertice;
return 0;
}
// if has cycle, return false, else return true
bool topologicalSort( int n, vector<int>& explored, vector<int>& path,
unordered_map<int, vector<int>>& graph,
vector<int>& result)
{
for(int i=0; i<graph[n].size(); i++) {
int prereq = graph[n][i];
if ( path[prereq] ) {
result.clear();
return false;
}
path[prereq] = true;
if (!topologicalSort(prereq, explored, path, graph, result)){
result.clear();
return false;
}
path[prereq] = false;
}
if (!explored[n]) {
result.push_back(n);
}
explored[n] = true;
return true;
}
vector<int> findOrder(int numCourses, vector<pair<int, int>>& prerequisites) {
vector<int> result;
vector<int> enterance (numCourses, true);
//using map to stroe the graph, it's easy to search the edge for each node
//the bool in pair means it is explored or not
unordered_map<int, vector<int>> graph;
for(int i=0; i<prerequisites.size(); i++){
graph[prerequisites[i].first].push_back( prerequisites[i].second );
enterance[prerequisites[i].second] = false;
}
//explored[] is used to record the node already checked!
vector<int> explored(numCourses, false);
//path[] is used to check the cycle during DFS
vector<int> path(numCourses, false);
for(int i=0; i<numCourses; i++){
if (!enterance[i] || explored[i]) continue;
if (!topologicalSort(i, explored, path, graph, result)) return result;
}
//if there has one course hasn't been explored, means there is a cycle
for (int i=0; i<numCourses; i++){
if (!explored[i]) return vector<int>();
}
return result;
}
/**
* Topological sort helper method
*
* @param v process vertex v
* @param topoStack
*/
void topologicalSort(Graph* g, int v, stack<int> &topoStack) {
g->setMark(v, VISITED);
// recur for all the vertices adjacent to this vertex
for (int w = g->first(v); w < g->n(); w = g->next(v,w)) {
if (g->getMark(w) == UNVISITED)
topologicalSort(g, w, topoStack);
}
topoStack.push(v); // push current vertex to stack
}
string AlienDictionary::alienOrder() {
processGraph();
topologicalSort();
if (cycle) return "";
string retval;
for (int i=rPostOrder.size()-1; i>=0; i--) {
retval.push_back(nodeToChar[rPostOrder[i]]);
}
return retval;
}
double network::gibbsSampling(int pos, int value, int t) {
int size = nodes.size();
int sample[2][size];
srand((unsigned int) time(NULL));
//Forward Sampling
topologicalSort();
for (int i = 0; i < size; i++) {
int j = topOrder[i];
if (nodes.at(j).isObserved()) {
sample[0][j] = nodes.at(j).getValue();
} else {
sample[0][j] = (toss() <= (nodes.at(j).factor(1)));
nodes.at(j).setValue(sample[0][j]);
}
}
//GIBBS SAMPLING
double sumMix = 0;
double sum = 0;
int mixSize = t*0.02;
int mixStart = 0;
for (int i = 1; i <= t; i++) {
assign(sample[0]);
for (int j = 0; j < 7; j++) {
if ((*(nodeAt(j))).isObserved()) {
sample[1][j] = sample[0][j];
} else {
sample[1][j] = (toss() <= (pSamplingNode(j, 1)));
(*(nodeAt(j))).setValue(sample[1][j]);
}
}
//MIXING PROCESS
if (i <= mixStart + mixSize) {
sumMix += pSamplingNode(pos, value);
} else {
sum += pSamplingNode(pos, value);
}
if (i == mixStart + mixSize * 2) {
if (abs(sumMix / mixSize - sum / mixSize) < 0.001) {
sum += sumMix;
}else{
sumMix = sum;
sum = 0;
mixStart += mixSize;
}
}
//UPDATE OF PREVIOUS SAMPLE
for (int j = 0; j < 7; j++) {
sample[0][j] = sample[1][j];
}
}
return sum/(t-mixStart);
}
void graph<T>::findDAGShortestPaths(node<T> *start)
{
cout << "For DAG with no negative weight edges:\n";
const int LARGENUMBER = 10000000;
stack<node <T> *> *st = new stack<node <T> *>();
topologicalSort(st);
if (hasCycle)
{
cout << "has cycle\n";
return;
}
stack<node<T> *> *st1 = st->cloneStack();
for (auto elem : nodelist)
{
node2parent[elem] = NULL;
node2shortest[elem] = LARGENUMBER;
}
node2shortest[start] = 0;
bool flag = false;
while (!st1->isEmpty())
{
node<T> *src = st1->dequeue();
if (src == start)
flag = true;
if (flag)
{
auto t_adjlist = src->get_adjlist();
for (auto elem : t_adjlist)
{
node<T> *dst = elem.first;
int w = elem.second;
cout << "src = " << src->get_data() << " and dst = " << dst->get_data() << "and w = " << w << "\n";
if (node2shortest[src] + w < node2shortest[dst])
{
node2parent[dst] = src;
node2shortest[dst] = node2shortest[src] + w;
}
}
}
}
cout << "Shortest path lengths from " << start->get_data() << " are:\n";
for (auto elem : nodelist)
{
cout << elem->get_data() << ": " << node2shortest[elem] << "\n";
}
cout << "Shortest path parents from " << start->get_data() << " are:\n";
for (auto elem : nodelist)
{
if (node2parent[elem])
cout << elem->get_data() << ": " << node2parent[elem]->get_data() << "\n";
}
cout << "***********************\n";
}
void findTopoClass(Graph graph) {
char temp[100];
int i, n, output[100];
if((n = topologicalSort(graph, output)) == 0) {
return;
}
printf("The topological sort:\n");
for(i = 0; i < n; i++) {
printf("%s\n", getVertex(graph, output[i]));
}
}
/// -----------------------------------------------------------------
///
/// @details This is the supporting recursive topological sort method.
///
/// -----------------------------------------------------------------
void topologicalSort(uint32_t id, std::deque<uint32_t>& queue)
{
m_visited[id] = true;
for (auto id : m_adjacent[id])
{
if (m_visited[id] == false)
{
topologicalSort(id, queue);
}
}
queue.push_back(id);
}
void report()
{
//
// report is considered a full transaction itself...but this isn't ever really
// going to be run under production, only in debug.
std::lock_guard<std::mutex> lock(m_mutex);
std::deque<uint32_t> queue = topologicalSort();
while (queue.empty() == false)
{
std::cout << m_nodes[queue.back()].value << std::endl;
queue.pop_back();
}
}
void longestPath(Graph* g, int src, int dest) {
// call the recursive topologicalSort function to store Topological Sort nodes
stack<int> topoStack; // saves topological sorted nodes
for (int i = 0; i < g->n(); i++) { // process all vertices one by one
if (g->getMark(i) == UNVISITED) {
topologicalSort(g, i, topoStack);
}
}
// Initialize distances to all vertices as infinite and distance
// to source as 0
int dist[g->n()]; // record longest path (weight) for nodes
for (int i = 0; i < g->n(); i++)
dist[i] = NINF;
dist[src] = 0;
cout << "from source node: " << src << " to" << endl;
printDistArray(dist, g->n());
// Process vertices in topological order
while (topoStack.empty() == false) {
// Get the next vertex from topological order
int u = topoStack.top();
topoStack.pop();
// Update distances of all adjacent vertices
if (dist[u] != NINF) {
// debug code
for (int w=g->first(u); w<g->n(); w = g->next(u,w)) {
if (dist[w] < dist[u] + g->weight(u, w)) {
dist[w] = dist[u] + g->weight(u, w);
}
}
}
}
// Print the calculated longest distances
cout << endl;
for (int i = 0; i < g->n(); i++) {
cout << "dist[" << i << "]: ";
(dist[i] == NINF) ? cout << "INF " : cout << dist[i] << " ";
}
for (int target = 0; target < g->n(); target++) {
printLongestPath(g, dist, src, target);
}
}
/// -----------------------------------------------------------------
///
/// @details This is the topological sort kickoff method. Refer to this
/// web reference for details on the implementation: http://www.geeksforgeeks.org/topological-sorting/
///
/// -----------------------------------------------------------------
std::deque<uint32_t> topologicalSort()
{
std::deque<uint32_t> queue;
for (auto& node : m_visited)
{
node.second = false;
}
for (auto& node : m_visited)
{
if (node.second == false)
{
topologicalSort(node.first, queue);
}
}
return queue; // Relying on move operator for efficient copy
}
std::vector<std::string> Importer::getImportOrder(const std::string& baseScene) {
std::vector<std::pair<std::string, std::string>> dependencies;
for (const auto& scene : m_scenes) {
const auto& name = scene.first;
const auto& sceneRoot = scene.second;
for (const auto& import : getScenesToImport(sceneRoot)) {
dependencies.push_back( {import, name} );
}
}
auto sortedScenes = topologicalSort(dependencies);
if (sortedScenes.empty()) {
return { baseScene };
}
return sortedScenes;
}
std::vector<std::string> StyleMixer::getMixingOrder(const Node& _styles) {
// Input must be a map of names to style configuration nodes.
if (!_styles.IsMap()) {
return {};
}
// Dependencies are pairs of strings that form a DAG.
// If style 'a' mixes style 'b', the dependency would be {'b', 'a'}.
std::vector<std::pair<std::string, std::string>> dependencies;
for (const auto& entry : _styles) {
const auto& name = entry.first;
const auto& config = entry.second;
for (const auto& mix : getStylesToMix(config)) {
dependencies.push_back({ mix, name.Scalar() });
}
}
return topologicalSort(dependencies);
}
QList<ListDigraph::Node> ProcessModel::topolSort() {
ListDigraph::NodeMap<int> nodes2pos(graph); // Map of nodes sorted topologically
// Sort the nodes topologically
topologicalSort(graph, nodes2pos);
QMap<int, ListDigraph::Node> pos2nodes; // Topologically sorted nodes
for (ListDigraph::NodeMap<int>::MapIt mi(nodes2pos); mi != INVALID; ++mi) {
pos2nodes[*mi] = mi;
}
QList<ListDigraph::Node> tnodes;
tnodes.clear();
tnodes.reserve(pos2nodes.size());
for (QMap<int, ListDigraph::Node>::iterator sti = pos2nodes.begin(); sti != pos2nodes.end(); sti++) {
tnodes << sti.value();
}
return tnodes;
}
int
main()
{
L_Graph g;
createLGraph(S, &g);
LGraph_addDEdge(&g, 0, 1);
LGraph_addDEdge(&g, 1, 2);
LGraph_addDEdge(&g, 3, 4);
LGraph_addDEdge(&g, 4, 2);
size_t s[S];
printf("%d\n\n", topologicalSort(&g, s));
int i;
for (i = 0; i < S; ++i)
printf("%d\n", s[i]);
freeLGraph(&g);
return (0);
}
int main() {
int a[10][10], flag[10], i, j, n;
printf("Enter the number of nodes: ");
scanf("%d", &n);
for (i = 1; i <= n; i++)
flag[i] = 0;
printf("Enter the Adjacency Matrix:\n");
for (i = 1; i <= n; i++) {
for (j = 1; j <= n; j++) {
scanf("%d", &a[i][j]);
if (a[i][j] == 1)
flag[j]++;
}
}
printf("The Topological Sorted Order is:\n");
topologicalSort(a, n, flag);
return 0;
}