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graph.h
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graph.h
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#ifndef _GRAPH_H_
#define _GRAPH_H_
#include <iostream>
#include <fstream>
#include <stdio.h>
#include <stdlib.h>
#include <stack.h>
#include <map>
#include <typeinfo>
#include <climits>
#include <algorithm> //std::min
namespace amo {
#define RESET "\033[0m"
#define BLACK "\033[30m" /* Black */
#define RED "\033[31m" /* Red */
#define GREEN "\033[32m" /* Green */
#define YELLOW "\033[33m" /* Yellow */
#define BLUE "\033[34m" /* Blue */
#define MAGENTA "\033[35m" /* Magenta */
#define CYAN "\033[36m" /* Cyan */
#define WHITE "\033[37m" /* White */
#define ERROR_CODE -1
typedef enum {UNDISCOVERED, DISCOVERED, VISITED} VStatus;
typedef enum {UNDETERMINED, TREE, CROSS, FORWARD, BACKWARD} EType;
template<typename Tv>
class Vertex {
typedef struct functor_traverse {
void operator() (Vertex<Tv> const& v) {
std::cout << v << WHITE << std::endl;
}
} FUNCTOR_TRAVERSER;
private:
public:
Tv data;
int inDegree;
int outDegree;
VStatus status;
int dTime;
int fTime;
int parent;
int priority;
Vertex(const Tv& d = (Tv) 0) : data(d), inDegree(0), outDegree(0), status(UNDISCOVERED), dTime(-1), fTime(-1), parent(-1), priority(INT_MAX) {}
Vertex(const Vertex& v) : data(v.data), inDegree(v.inDegree), outDegree(v.outDegree), status(v.status), dTime(v.dTime), fTime(v.fTime), parent(v.parent), priority(v.priority) {}
Vertex& operator=(const Vertex& vertex) {
data = vertex.data;
inDegree = vertex.inDegree;
outDegree = vertex.outDegree;
status = vertex.status;
dTime = vertex.dTime;
fTime = vertex.fTime;
parent = vertex.parent;
priority = vertex.priority;
return *this;
}
~Vertex() {}
friend std::ostream& operator<<(std::ostream& os, const Vertex& vertex) {
if (&vertex == NULL) {
os << RED << "no vertex instance";
return os;
}
os << WHITE << "[this] :" << &vertex << endl;
os << WHITE << "[data] :" << vertex.data << endl;
os << WHITE << "[inDegree] :" << vertex.inDegree << endl;
os << WHITE << "[outDegree]:" << vertex.outDegree << endl;
switch (vertex.status) {
case UNDISCOVERED:
os << WHITE << "[status] :" << "UNDISCOVERED" << endl;
break;
case DISCOVERED:
os << WHITE << "[status] :" << "DISCOVERED" << endl;
break;
case VISITED:
os << WHITE << "[status] :" << "VISITED" << endl;
break;
}
os << WHITE << "[dTime] :" << vertex.dTime << endl;
os << WHITE << "[fTime] :" << vertex.fTime << endl;
os << WHITE << "[parent] :" << vertex.parent << endl;
os << WHITE << "[priority] :" << vertex.priority << endl;
return os;
}
};
template<typename Te>
class Edge {
private:
public:
EType type;
Te data;
int weight;
Edge(const Te& d = (Te) 0, int w = 0) : data(d), weight(w), type(UNDETERMINED) {}
~Edge() {}
friend std::ostream& operator<<(std::ostream& os, const Edge& edge) {
if (&edge == NULL) {
os << BLUE << "null" << endl;
return os;
}
os << WHITE << "[this] :" << &edge << endl;
os << WHITE << "[data] :" << edge.data << endl;
os << WHITE << "[weight]:" << edge.weight << endl;
switch (edge.type) {
case UNDETERMINED:
os << WHITE << "[type] :" << "UNDETERMINED" << endl;
break;
case TREE:
os << WHITE << "[type] :" << "TREE" << endl;
break;
case CROSS:
os << WHITE << "[type] :" << "CROSS" << endl;
break;
case FORWARD:
os << WHITE << "[type] :" << "FORWARD" << endl;
break;
case BACKWARD:
os << WHITE << "[type] :" << "BACKWARD" << endl;
break;
}
return os;
}
};
template<typename Tv, typename Te>
class Graph {
typedef struct functor_traverse {
void operator() (Graph<Tv,Te> const& tree) {
std::cout << tree << WHITE << std::endl;
}
} FUNCTOR_TRAVERSER;
private:
public:
int n;
int e;
Graph(): n(0), e(0) {
//std::cout << "[Graph::Graph()]: this:" << this << ", Tv type:" << typeid(Tv).name() << ", Te type:" << typeid(Te).name() << WHITE << std::endl;
}
~Graph() {
//std::cout << "[Graph::~Graph()]: this:" << this << WHITE << std::endl;
}
#if 0 //to be an abstract class
//vertex
virtual int insert(const Tv& data) = 0;
virtual Tv remove(int i) = 0;
virtual Tv& vertex(int i) = 0;
virtual int inDegree(int i) = 0;
virtual int outDegree(int i) = 0;
virtual int firstNbr(int i) = 0;
virtual int nextNbr(int i, int j) = 0;
virtual VStatus& status(int i) = 0;
virtual int& dTime(int i) = 0;
virtual int& fTime(int i) = 0;
virtual int& parent(int i) = 0;
virtual int& priority(int i) = 0;
//edge
virtual bool exist(int i, int j) = 0;
virtual void insert(const Te& e, int i, int j, int weight) = 0;
virtual Te remove(int i, int j) = 0;
virtual EType& type(int i, int j) = 0;
virtual Te& edge(int i, int j) = 0;
virtual int weight(int i, int j) = 0;
#else
void reset();
//vertex
int insert(const Tv& d);
Tv remove(int i);
Tv& vertex(int i);
int inDegree(int i);
int outDegree(int i);
int firstNbr(int i);
int nextNbr(int i, int j);
VStatus& status(int i);
int& dTime(int i);
int& fTime(int i);
int& parent(int i);
int& priority(int i);
//edge
bool exist(int i, int j);
void insert(const Te& d, int i, int j, int weight);
Te remove(int i, int j);
Te& edge(int i, int j);
EType& type(int i, int j);
int weight(int i, int j);
#endif
friend std::ostream& operator<<(std::ostream& os, const Graph<Tv,Te>& graph) {
os << WHITE << "[this]:" << &graph << endl;
return os;
}
};
template<typename Tv, typename Te>
class AdjaMatrix : public Graph<Tv, Te> {
private:
public:
//Unhide members of base class template with a using declaration
//using amo::Graph<Tv, Te>::insert;
std::vector<Vertex<Tv>*> V;
std::vector<std::vector<Edge<Te>*>> E;
AdjaMatrix(): Graph<Tv, Te>() {}
~AdjaMatrix() {}
void reset() {
for (int i=0; i<this->n; i++) {
status(i) = UNDISCOVERED;
dTime(i) = -1;
fTime(i) = -1;
parent(i) = -1;
priority(i) = INT_MAX;
for (int j=0; j<this->n; j++) {
if (exist(i, j)) {
type(i, j) = UNDETERMINED;
}
}
}
}
/**
* overload for V
*/
int inDegree(int i) { return V[i]->inDegree; }
int outDegree(int i) { return V[i]->outDegree; }
#if 0 //from tail
int firstNbr(int i) { return nextNbr(i, this->n-1); }
int nextNbr(int i, int j) { //next of [0, j)
while (--j >= 0) {
if (exist(i, j)) break;
}
if (j >= 0) {
cout << i << " -> " << j << WHITE << endl;
return j;
}
else return -1;
}
#else //from head
int firstNbr(int i) { return nextNbr(i, -1); }
int nextNbr(int i, int j) { //next of (j, n)
while (++j < this->n) {
if (exist(i, j)) break;
}
if (j < this->n) {
//cout << i << " -> " << j << WHITE << endl;
return j;
}
else return -1;
}
#endif
VStatus& status(int i) { return V[i]->status; }
Tv& vertex(int i) { return V[i]->data; }
int& dTime(int i) { return V[i]->dTime; }
int& fTime(int i) { return V[i]->fTime; }
int& parent(int i) { return V[i]->parent; }
int& priority(int i) { return V[i]->priority; }
int insert(const Tv& d);
Tv remove(int i); //[0, n)
/**
* overload for E
*/
Te& edge(int i, int j);
EType& type(int i, int j);
int weight(int i, int j);
void insert(const Te& d, int i, int j, int weight); //[0, e)
Te remove(int i, int j);
bool exist(int i, int j);
/**
* extend
*/
void print(std::ostream& os);
/**
* algorithm
*/
void BFS(int v);
void BFS(int v, int*& distance, int*& predecessor);
void DFS(int v);
void DFS(int v, int& time, int*& distance, int*& predecessor, int*& discover, int*& finish);
void collapse(int*& predecessor);
void CCDFS(int v);
AdjaMatrix transpose();
void quickSort(int*& predecessor, int front, int end);
void quickSortAndRank(int*& rank, int*& sort, int front, int end);
void SCCDFS(int v);
void TopoSort(int v);
void BCC(int v);
void BCC(int v, int*& discover, int*& finish, int*& predecessor, int*& hca, std::stack<int>& stack, int& clock);
template<typename Interface> void PFS(int s, Interface priority_updater, int& clock, int*& predecessor, int*& discover, int*& finish);
template<typename Interface> void PFS(int s, Interface priority_updater, int*& predecessor, int*& distance);
template<typename Interface> void PFS(int s, Interface priority_updater, std::vector<int>& cut, std::vector<Edge<Te>*>& cross);
void PFS_DFS(int v);
void PFS_BFS(int v);
void PFS_Prim(int v);
void Dijkstra(int v);
friend std::ostream& operator<<(std::ostream& os, AdjaMatrix<Tv,Te>& matrix) {
matrix.print(os);
return os;
}
};
template<typename Tv, typename Te>
void amo::AdjaMatrix<Tv, Te>::print(std::ostream& os) {
typename std::vector<Vertex<Tv>*>::iterator itV; //points to V[i]
typename std::vector<std::vector<Edge<Te>*>>::iterator itE; //points to E
typename std::vector<Edge<Te>*>::iterator it_adjs; //points to E[i]
int n_check = 0;
int e_check = 0;
os << CYAN << "size of V:" << V.size() << WHITE << std::endl;
os << CYAN << "size of E:" << E.size() << WHITE << std::endl;
for (itE=E.begin(); itE!=E.end(); itE++) {
os << CYAN << "size of E["<< distance(E.begin(), itE) << "]:" << itE->size() << WHITE << std::endl;
}
os << GREEN << "--- VERTEX TOP ------" << WHITE << std::endl;
for (itV=V.begin(); itV!=V.end(); itV++) {
os << CYAN << "V[" << distance(V.begin(), itV) << "]" << WHITE << endl;
os << **itV; //prints vertex
n_check++;
}
os << GREEN << "--- VERTEX BOTTOM ------" << WHITE << std::endl;
os << GREEN << "--- EDGE TOP ------" << WHITE << std::endl;
for (itE=E.begin(); itE!=E.end(); itE++) {
for (it_adjs=itE->begin(); it_adjs!=itE->end(); it_adjs++) {
if (*it_adjs == NULL) continue;
os << CYAN << "E[" << distance(E.begin(), itE) << "][" << distance(itE->begin(), it_adjs) << "]" << WHITE << endl;
os << **it_adjs;
e_check++;
}
}
if (this->n == n_check) os << GREEN << "right n:" << this->n << WHITE << endl;
else os << RED << "wrong n:" << this->n << " and n_check:" << n_check << WHITE << endl;
if (this->e == e_check) os << GREEN << "right e:" << this->e << WHITE << endl;
else os << RED << "wrong e:" << this->e << " and e_check:" << e_check << WHITE << endl;
os << GREEN << "--- EDGE BOTTOM ------" << WHITE << std::endl;
os << GREEN << "--- GRAPH TOP ------" << WHITE << std::endl;
string bars, nbrs;
//char c[2];
string c;
for (int i=0; i<this->n; i++) {
os << CYAN << "-------" << WHITE << endl;
//os << CYAN << "[" << i << "]" << WHITE << endl;
os << CYAN << "[" << V[i]->data << "]" << WHITE << endl;
bars.clear();
nbrs.clear();
for (int j=0; j<this->n; j++) {
if (exist(i, j)) {
bars.insert(bars.length(), " | ");
nbrs.append("[");
//sprintf(c, "%d", j);
//nbrs.append(c);
c.insert(c.begin(), V[j]->data);
nbrs.append(c);
c.clear();
nbrs.append("]");
}
}
os << CYAN << bars << WHITE << endl;
os << CYAN << nbrs << WHITE << endl;
}
os << GREEN << "--- GRAPH BOTTOM ------" << WHITE << std::endl;
}
//For V
/**
* When a class template derives from a base class template, the base members are not visible in the derived class template definition.
* (This makes sense, until you specialize, there is no class, and so there are no members.
* Explicit specializations can always change the meaning of any given template class.)
*/
template<typename Tv, typename Te>
int amo::AdjaMatrix<Tv, Te>::insert(const Tv& data) {
Vertex<Tv>* vertex = new Vertex<Tv>(data);
typename std::vector<Vertex<Tv>*>::iterator itV;
typename std::vector<std::vector<Edge<Te>*>>::iterator itE;
typename std::vector<Edge<Te>*>::iterator it_adjs;
int tmp = this->n;
std::vector<Edge<Te>*>* adjs = new std::vector<Edge<Te>*>();
while (0<tmp--) {
adjs->push_back((Edge<Te>*)0);
}
itE = this->E.insert(E.end(), *adjs);
for (itE=E.begin(); itE!=E.end(); itE++) {
it_adjs = itE->insert(itE->end(), (Edge<Te>*)0);
}
itV = this->V.insert(V.end(), vertex);
(this->n)++;
std::cout << YELLOW << "inserted a vector at V[" << distance(V.begin(), itV) << "]" << WHITE << std::endl;
//std::cout << YELLOW << "n:" << this->n << WHITE << std::endl;
return distance(V.begin(), itV);
}
template<typename Tv, typename Te> //This implement deploys operator[] instead of iterators but now n matters
Tv amo::AdjaMatrix<Tv, Te>::remove(int i) {
for (int j=0; j<this->n; j++) { //i->j
if (exist(i, j)) {
delete this->E[i][j]; //delete the instance of edge pointed by E[i][j]
this->E[i][j] = NULL;
this->V[j]->inDegree--;
this->e--;
}
}
this->E.erase(std::next(this->E.begin(), i)); //delete instance of vector of E[i], which decreases size of E by 1
this->n--;
for (int j=0; j<this->n; j++) { //j->i
if (exist(j, i)) {
delete this->E[j][i]; //delete instance of edge pointed by E[j][i]
this->E[j][i] = NULL;
this->V[j]->outDegree--;
this->e--;
}
this->E[j].erase(std::next(this->E[j].begin(), i));
}
Tv data = this->V[i]->data;
this->V.erase(std::next(this->V.begin(), i));
return data;
}
//For E
template<typename Tv, typename Te>
void amo::AdjaMatrix<Tv, Te>::insert(const Te& d, int i, int j, int weight) { //there should have been a space prepared since inserting a vertex before
if (exist(i, j)) {
cout << RED << "edge between " << i << " and " << j << " already exists" << WHITE << std::endl;
return;
}
Edge<Te>* edge = new Edge<Te>(d, weight);
E[i][j] = edge;
this->e++;
V[i]->outDegree++;
V[j]->inDegree++;
cout << CYAN << "inserted an edge at E[" << i << "][" << j << "]" << WHITE << std::endl;
}
template<typename Tv, typename Te>
Te amo::AdjaMatrix<Tv, Te>::remove(int i, int j) { //keeps the space of but replaces E[i][j] with NULL
if (!exist(i, j)) {
cout << RED << "edge between " << i << " and " << j << " doesn't exist" << WHITE << std::endl;
return NULL;
}
#if 1
typename std::vector<std::vector<Edge<Te>*>>::iterator itE;
typename std::vector<Edge<Te>*>::iterator it_adjs;
itE = std::next(this->E.begin(), i);
it_adjs = std::next(itE->begin(), j);
Te data = (*it_adjs)->data;
cout << CYAN << "going to delete an edge form E and replace with NULL:" << data << WHITE << std::endl;
delete *it_adjs;
*it_adjs = NULL;
#else
Te data = E[i][j]->data;
cout << CYAN << "going to delete an edge form E and replace with NULL:" << data << WHITE << std::endl;
delete E[i][j];
E[i][j] = NULL;
#endif
this->e--;
V[i]->outDegree--;
V[j]->inDegree--;
return data;
}
template<typename Tv, typename Te>
bool amo::AdjaMatrix<Tv, Te>::exist(int i, int j) {
bool ret = true;
ret &= (0<=i);
//'this' is always implicitly dependent in a template and the lookup is therefore deferred until the template is actually instantiated.
if (!ret) {
//cout << RED << "out of limit, i < 0" << WHITE << std::endl;
return ret;
}
ret &= i<this->n;
if (!ret) {
//cout << RED << "out of limit, i >= " << this->n << WHITE << std::endl;
return ret;
}
ret &= (0<=j);
if (!ret) {
//cout << RED << "out of limit, j < 0" << WHITE << std::endl;
return ret;
}
ret &= (j<this->n);
if (!ret) {
//cout << RED << "out of limit, j >= " << this->n << WHITE << std::endl;
return ret;
}
ret &= (this->E[i][j] != NULL);
if (!ret) {
//cout << RED << "E[" << i << "][" << j << "] is NULL" << WHITE << std::endl;
return ret;
}
return ret;
}
template<typename Tv, typename Te>
EType& amo::AdjaMatrix<Tv, Te>::type(int i, int j) {
if (!exist(i, j)){
cout << RED << "no edge exists and return UNDETERMINED (" << i << "," << j << ")" << WHITE << std::endl;
Edge<Te>* edge = E[i][j];
edge->type = UNDETERMINED;
return edge->type;
}
Edge<Te>* edge = E[i][j];
return edge->type;
}
template<typename Tv, typename Te>
Te& amo::AdjaMatrix<Tv, Te>::edge(int i, int j) {
if (!exist(i, j)){
cout << RED << "no edge exists and return NULL" << WHITE << std::endl;
Te* dummy = new Te();
return *dummy;
}
Edge<Te>* edge = E[i][j];
return edge->data;
}
template<typename Tv, typename Te>
int amo::AdjaMatrix<Tv, Te>::weight(int i, int j) {
if (!exist(i, j)){
cout << RED << "no edge exists and return NULL" << WHITE << std::endl;
return std::numeric_limits<int>::max();
}
Edge<Te>* edge = E[i][j];
return edge->weight;
}
template<typename Tv, typename Te>
void amo::AdjaMatrix<Tv, Te>::BFS(int v) {
int root = v;
int* distance = new int[this->n];
int* predecessor = new int[this->n];
for (int i=0; i<this->n; i++) {
predecessor[i] = -1;
distance[i] = -1;
}
do {
if (status(v) == UNDISCOVERED) {
cout << GREEN << "going to BFS the subgraph of v:" << v << WHITE << endl;
BFS(v, distance, predecessor);
}
} while (root!=(v=(++v%this->n)));
//print
for (int i=0; i<this->n; i++) {
cout << WHITE << "distance[" << vertex(i) << "]:" << distance[i] << WHITE << endl;
}
for (int i=0; i<this->n; i++) {
int p = predecessor[i];
if (p >= 0) cout << YELLOW << "predecessor[" << vertex(i) << "]:" << vertex(p) << WHITE << endl;
else cout << YELLOW << "predecessor[" << vertex(i) << "]:" << predecessor[i] << WHITE << endl;
}
}
template<typename Tv, typename Te>
void amo::AdjaMatrix<Tv, Te>::BFS(int v, int*& distance, int*& predecessor) {
#if 1 //info
string str;
char c[2]; //for a char and a null-terminated character
#endif
std::queue<int> queue;
queue.push(v);
distance[v] = 0;
predecessor[v] = -1;
while (!queue.empty()) {
int u = -1;
int i = queue.front();
queue.pop();
while ((u=nextNbr(i, u))>=0) {
#if 0 //info
str.clear();
c[0] = vertex(i);
str.append(c, 1);
str.append(" - ");
c[0] = vertex(u);
str.append(c, 1);
cout << WHITE << str << WHITE << endl;
#endif
if (status(u) == UNDISCOVERED) {
queue.push(u);
status(u) = DISCOVERED;
type(i, u) = TREE;
parent(u) = i;
distance[u] = distance[i]+1;
predecessor[u] = i;
cout << YELLOW << vertex(i) << " tree " << vertex(u) << WHITE << endl;
} else {
type(i, u) = CROSS;
cout << vertex(i) << " cross " << vertex(u) << endl;
}
}
status(i) = VISITED;
}
}
template<typename Tv, typename Te>
void amo::AdjaMatrix<Tv, Te>::DFS(int v) {
int root = v;
int time = 0;
int* distance = new int[this->n];
int* predecessor = new int[this->n];
int* discover = new int[this->n]; //all of dTime of V
int* finish = new int[this->n]; //all of fTime of V
for (int i=0; i<this->n; i++) {
predecessor[i] = -1;
}
do {
if (status(v) == UNDISCOVERED) {
cout << GREEN << "going to DFS the subgraph of v:" << v << WHITE << endl;
DFS(v, time, distance, predecessor, discover, finish);
}
} while (root!=(v=(++v%this->n)));
for (int i=0; i<this->n; i++) {
int p = predecessor[i];
if (p >= 0) cout << YELLOW << "predecessor[" << vertex(i) << "]:" << vertex(p) << WHITE << endl;
else cout << YELLOW << "predecessor[" << vertex(i) << "]:" << predecessor[i] << WHITE << endl;
}
for (int i=0; i<this->n; i++) {
cout << WHITE << "discover[" << vertex(i) << "]:" << discover[i] << WHITE << endl;
}
for (int i=0; i<this->n; i++) {
cout << WHITE << "finish[" << vertex(i) << "]:" << finish[i] << WHITE << endl;
}
}
template<typename Tv, typename Te>
void amo::AdjaMatrix<Tv, Te>::DFS(int v, int& time, int*& distance, int*& predecessor, int*& discover, int*& finish) {
status(v) = DISCOVERED;
dTime(v) = ++time;
discover[v] = dTime(v);
int u = -1;
while ((u=nextNbr(v, u))>=0) {
if (status(u) == UNDISCOVERED) {
cout << vertex(v) << " tree " << vertex(u) << endl;
type(v, u) = TREE;
parent(u) = v;
predecessor[u] = v;
DFS(u, time, distance, predecessor, discover, finish);
}
else if (status(u) == DISCOVERED) {
cout << vertex(v) << " backward " << vertex(u) << endl;
type(v, u) = BACKWARD;
}
else if (status(u) == VISITED) {
if (dTime(v) > dTime(u)) {
cout << vertex(v) << " cross " << vertex(u) << endl;
type(v, u) = CROSS;
}
else if (dTime(v) < dTime(u)) {
cout << vertex(v) << " forward " << vertex(u) << endl;
type(v, u) = FORWARD;
}
else cout << RED << "Exception of dTime of v:" << v << WHITE << endl;
}
else cout << RED << "Exception of status of u:" << u << WHITE << endl;
}
status(v) = VISITED;
fTime(v) = ++time;
finish[v] = fTime(v);
}
template<typename Tv, typename Te>
void amo::AdjaMatrix<Tv, Te>::collapse(int*& predecessor) {
int i = -1;
while (++i<this->n) {
if (predecessor[i] < 0) {
cout << CYAN << "root:" << i << WHITE << endl;
continue;
}
while (predecessor[predecessor[i]]>=0) {
predecessor[i] = predecessor[predecessor[i]];
cout << CYAN << "changed predecessor[" << i << "]:" << vertex(predecessor[i]) << WHITE << endl;
}
}
}
template<typename Tv, typename Te>
void amo::AdjaMatrix<Tv, Te>::CCDFS(int v) {
int root = v;
int time = 0;
int* distance = new int[this->n];
int* predecessor = new int[this->n];
int* discover = new int[this->n]; //all of dTime of V
int* finish = new int[this->n]; //all of fTime of V
for (int i=0; i<this->n; i++) {
predecessor[i] = -1;
}
do {
if (status(v) == UNDISCOVERED) {
cout << GREEN << "going to DFS the subgraph of v:" << v << WHITE << endl;
DFS(v, time, distance, predecessor, discover, finish);
}
} while (root!=(v=(++v%this->n)));
cout << GREEN << "going to collapse" << WHITE << endl;
collapse(predecessor);
for (int i=0; i<this->n; i++) {
int p = predecessor[i];
if (p >= 0) cout << YELLOW << "predecessor[" << vertex(i) << "]:" << vertex(p) << WHITE << endl;
else cout << YELLOW << "predecessor[" << vertex(i) << "]:" << predecessor[i] << WHITE << endl;
}
for (int i=0; i<this->n; i++) {
cout << WHITE << "discover[" << vertex(i) << "]:" << discover[i] << WHITE << endl;
}
for (int i=0; i<this->n; i++) {
cout << WHITE << "finish[" << vertex(i) << "]:" << finish[i] << WHITE << endl;
}
}
template<typename Tv, typename Te>
AdjaMatrix<Tv, Te> amo::AdjaMatrix<Tv, Te>::transpose(){
typename std::vector<Vertex<Tv>*>::iterator itV;
typename std::vector<std::vector<Edge<Te>*>>::iterator itE;
typename std::vector<Edge<Te>*>::iterator ite;
typename amo::AdjaMatrix<Tv, Te> T;
for (itV=V.begin(); itV!=V.end(); itV++) {
T.insert((*itV)->data);
}
int v = -1;
int u = -1;
for (itV=V.begin(); itV!=V.end(); itV++) {
v = std::distance(V.begin(), itV);
u = -1;
while ((u=nextNbr(v, u))>=0) {
T.insert("", u, v, 0);
}
}
return T;
}
template<typename Tv, typename Te>
void amo::AdjaMatrix<Tv, Te>::quickSort(int*& sort, int front, int end) { //[front, end]
if (front >= end) return;
//partition start
int pivot = end;
int l = front-1;
for (int i=front; i<end; i++) {
if (sort[i] > sort[pivot]) {
l++; //one more left
std::swap(sort[i], sort[l]);
}
}
l++; //positions pivot
std::swap(sort[l], sort[pivot]);
pivot = l;
//partition end
quickSort(sort, front, pivot-1);
quickSort(sort, pivot+1, end);
}
/**
* rank holds indexes corresponding to the sort in the same order
*/
template<typename Tv, typename Te>
void amo::AdjaMatrix<Tv, Te>::quickSortAndRank(int*& rank, int*& sort, int front, int end) { //[front, end]
if (front >= end) return;
//partition start
int pivot = end;
int l = front-1;
for (int i=front; i<end; i++) {
if (sort[i] > sort[pivot]) {
l++; //one more left
std::swap(sort[i], sort[l]);
std::swap(rank[i], rank[l]);
}
}
l++; //positions pivot
std::swap(sort[l], sort[pivot]);
std::swap(rank[l], rank[pivot]);
pivot = l;
//partition end
quickSortAndRank(rank, sort, front, pivot-1);
quickSortAndRank(rank, sort, pivot+1, end);
}
template<typename Tv, typename Te>
void amo::AdjaMatrix<Tv, Te>::SCCDFS(int v) {
int root = v;
int time = 0;
int* distance = new int[this->n];
int* predecessor = new int[this->n];
int* discover = new int[this->n]; //all of dTime of V
int* finish = new int[this->n]; //all of fTime of V
int* finish_sort = new int[this->n]; //descent
int* finish_rank = new int[this->n];
for (int i=0; i<this->n; i++) {
predecessor[i] = -1;
}
//first DFS
cout << GREEN << "going to 1st DFS" << WHITE << endl;
do {
if (status(v) == UNDISCOVERED) {
cout << GREEN << "going to DFS the subgraph of v:" << v << WHITE << endl;
DFS(v, time, distance, predecessor, discover, finish);
}
} while (root!=(v=(++v%this->n)));
//print
for (int i=0; i<this->n; i++) {
int p = predecessor[i];
if (p >= 0) cout << YELLOW << "predecessor[" << vertex(i) << "]:" << vertex(p) << WHITE << endl;
else cout << YELLOW << "predecessor[" << vertex(i) << "]:" << predecessor[i] << WHITE << endl;
}
for (int i=0; i<this->n; i++) {
cout << WHITE << "discover[" << vertex(i) << "]:" << discover[i] << WHITE << endl;
}
for (int i=0; i<this->n; i++) {
cout << WHITE << "finish[" << vertex(i) << "]:" << finish[i] << WHITE << endl;
}
//ranks the finish after the first DFS
for (int i=0; i<this->n; i++) {
finish_sort[i] = finish[i];
finish_rank[i] = i;
}
#if 0 //O(n^2)
cout << GREEN << "going to quick sort" << WHITE << endl;
quickSort(finish_sort, 0, (this->n)-1);
for (int rank=0; rank<this->n; rank++) {
for (int i=0; i<this->n; i++) {
if (finish[i] == finish_sort[rank]) {
finish_rank[rank] = i;
}
}
}
#else //O(nLogn)
cout << GREEN << "going to quick sort and rank" << WHITE << endl;
quickSortAndRank(finish_rank, finish_sort, 0, (this->n)-1);
#endif
for (int i=0; i<this->n; i++) {
cout << WHITE << "finish_rank[" << i << "]:" << finish_rank[i] << WHITE << endl;
}
//transpose
cout << GREEN << "going to transpose" << WHITE << endl;
typename amo::AdjaMatrix<Tv, Te> T = this->transpose();
//second DFS vertexes of the transpose in the order latest toward earliest of finish
int timeT = 0;
int* distanceT = new int[T.n];
int* predecessorT = new int[T.n];
int* discoverT = new int[T.n]; //all of dTime of V
int* finishT = new int[T.n]; //all of fTime of V
for (int i=0; i<T.n; i++) {
predecessorT[i] = -1;
discoverT[i] = 0;
finishT[i] = 0;
}
for (int i=0; i<T.n; i++) {
v = finish_rank[i];
cout << GREEN << "... v:" << v << WHITE << endl;
if (T.status(v) == UNDISCOVERED) {
cout << GREEN << "going to 2nd DFS from vertex:" << vertex(v) << WHITE << endl;
T.DFS(v, timeT, distanceT, predecessorT, discoverT, finishT);
}
}
//print
for (int i=0; i<this->n; i++) {
int p = predecessorT[i];
if (p >= 0) cout << YELLOW << "predecessorT[" << vertex(i) << "]:" << vertex(p) << WHITE << endl;
else cout << YELLOW << "predecessorT[" << vertex(i) << "]:" << predecessorT[i] << WHITE << endl;
}
for (int i=0; i<this->n; i++) {
cout << WHITE << "discoverT[" << vertex(i) << "]:" << discoverT[i] << WHITE << endl;
}
for (int i=0; i<this->n; i++) {
cout << WHITE << "finishT[" << vertex(i) << "]:" << finishT[i] << WHITE << endl;
}
//collapse
cout << GREEN << "going to collapse" << WHITE << endl;
T.collapse(predecessorT);
for (int i=0; i<this->n; i++) {
int p = predecessorT[i];
if (p >= 0) cout << YELLOW << "predecessorT[" << vertex(i) << "]:" << vertex(p) << WHITE << endl;
else cout << YELLOW << "predecessorT[" << vertex(i) << "]:" << predecessorT[i] << WHITE << endl;
}
//print SCC
cout << *this << endl;
std::string scc[this->n][3];
char c[2];
for (int i=0; i<this->n; i++) {
int p = predecessorT[i];
if (p == -1) {
c[0] = vertex(i);
scc[i][0].append(GREEN);
scc[i][0].append("Strong connected component#");
scc[i][0].append(c, 1);
scc[i][0].append("\n");
scc[i][0].append(CYAN);
scc[i][0].append("-------\n");
scc[i][0].append("[");
scc[i][0].append(c, 1);
scc[i][0].append("]");
}
}
for (int i=0; i<this->n; i++) {
int p = predecessorT[i];
if (p >= 0) {
c[0] = vertex(i);
scc[p][1].append(CYAN);
scc[p][1].append(" | ");
scc[p][2].append("[");
scc[p][2].append(c, 1);
scc[p][2].append("]");
}
}
int i = -1;
while (++i < this->n) {
if (!scc[i][0].empty()) {
cout << scc[i][0] << endl;
cout << scc[i][1] << endl;
cout << scc[i][2] << endl;
cout << "-------" << endl;
}
}
}
template<typename Tv, typename Te>
void amo::AdjaMatrix<Tv, Te>::TopoSort(int v) {
int root = v;
int time = 0;
int* distance = new int[this->n];
int* predecessor = new int[this->n];
int* discover = new int[this->n]; //all of dTime of V
int* finish = new int[this->n]; //all of fTime of V
for (int i=0; i<this->n; i++) {
predecessor[i] = -1;
}
do {
if (status(v) == UNDISCOVERED) {
cout << GREEN << "going to DFS the subgraph of v:" << v << WHITE << endl;
DFS(v, time, distance, predecessor, discover, finish);
}
} while (root!=(v=(++v%this->n)));
typename std::vector<std::vector<Edge<Te>*>>::iterator itE;
typename std::vector<Edge<Te>*>::iterator it_adjs;
for (itE=this->E.begin(); itE!=this->E.end(); itE++) {
for (it_adjs=itE->begin(); it_adjs!=itE->end(); it_adjs++) {
//cout << **it_adjs << endl;
if (*it_adjs == NULL) continue;
if (((*it_adjs)->type) == BACKWARD) {
cout << RED << "NOT DAG" << WHITE << endl;
return;
}
}
}
int* finish_sort = new int[this->n];
int* finish_rank = new int[this->n];
for (int i=0; i<this->n; i++) {
finish_sort[i] = finish[i];
finish_rank[i] = i;
}
quickSortAndRank(finish_rank, finish_sort, 0, (this->n)-1);
//print
cout << GREEN << "Topological sort:";
for (int i=0; i<this->n; i++) {
cout << GREEN << vertex(finish_rank[i]);
if (i != (this->n)-1) cout << GREEN << " -> ";
}
cout << WHITE << endl;
}
template<typename Tv, typename Te>
void AdjaMatrix<Tv, Te>::BCC(int v) {
int lim = std::numeric_limits<int>::max();
int *predecessor = new int[this->n];
int *discover = new int[this->n];
int *finish = new int[this->n];
int *hca = new int[this->n];
std::stack<int> stack;
int clock = 0;
int s = v;
for (int i=0; i<this->n; i++) {
predecessor[i] = -1;
hca[i] = lim;
}
do {
if (status(v) == UNDISCOVERED) {
cout << GREEN << "going to BCC from v:" << v << WHITE << endl;
BCC(v, discover, finish, predecessor, hca, stack, clock);