Rename decrementalscc to rodittyzwick as it is the core algorithm
This commit is contained in:
@@ -1,7 +1,7 @@
|
|||||||
#ifndef DECREMENTAL_SCC_H_
|
#ifndef RODITTY_ZWICK_H_
|
||||||
#define DECREMENTAL_SCC_H_
|
#define RODITTY_ZWICK_H_
|
||||||
|
|
||||||
#include "algorithm/roditty_zwick.h"
|
#include "algorithm/decremental_reachability.h"
|
||||||
#include "algorithm/tarjan.h"
|
#include "algorithm/tarjan.h"
|
||||||
#include "graph/breadth_first_tree.h"
|
#include "graph/breadth_first_tree.h"
|
||||||
|
|
||||||
@@ -10,69 +10,69 @@ using namespace graph;
|
|||||||
namespace algo {
|
namespace algo {
|
||||||
|
|
||||||
template<typename T>
|
template<typename T>
|
||||||
class DecrementalSCC : public RodittyZwick<T> {
|
class RodittyZwick : public DecrementalReachability<T> {
|
||||||
public:
|
public:
|
||||||
DecrementalSCC() = default;
|
RodittyZwick() = default;
|
||||||
|
|
||||||
DecrementalSCC(Digraph<T> G) : G(G) {}
|
RodittyZwick(Digraph<T> G) { this->G = G; }
|
||||||
|
|
||||||
void init();
|
//
|
||||||
|
void init() override;
|
||||||
|
|
||||||
|
//
|
||||||
void findSCC();
|
void findSCC();
|
||||||
|
|
||||||
// Return true if u and v are in the same SCC
|
// Return true if u and v are in the same SCC
|
||||||
bool query(const T& u, const T& v);
|
bool query(const T& u, const T& v) override;
|
||||||
|
|
||||||
// Remove edge (u,v) and update A accordingly for fast checking query
|
// Remove edge (u,v) and update A accordingly for fast checking query
|
||||||
void remove(const T& u, const T& v);
|
void remove(const T& u, const T& v) override;
|
||||||
|
|
||||||
void setGraph(Digraph<T> G);
|
void setGraph(Digraph<T> G);
|
||||||
private:
|
private:
|
||||||
Digraph<T> G;
|
|
||||||
|
|
||||||
// Array used to answer strong connectivity queries in O(1) time
|
// Array used to answer strong connectivity queries in O(1) time
|
||||||
std::map<T, T> A;
|
std::map<T, T> A;
|
||||||
|
|
||||||
|
// Connect each representative with its SCC
|
||||||
|
std::map<T, SCC<T>> C;
|
||||||
|
|
||||||
// Maintain in-out bfs trees
|
// Maintain in-out bfs trees
|
||||||
std::map<T, BreadthFirstTree<T>> inTree;
|
std::map<T, BreadthFirstTree<T>> inTree;
|
||||||
std::map<T, BreadthFirstTree<T>> outTree;
|
std::map<T, BreadthFirstTree<T>> outTree;
|
||||||
|
|
||||||
// Connect each representative with its SCC
|
|
||||||
std::map<T, SCC<T>> SCC;
|
|
||||||
};
|
};
|
||||||
|
|
||||||
template<typename T>
|
template<typename T>
|
||||||
void DecrementalSCC<T>::init() {
|
void RodittyZwick<T>::init() {
|
||||||
findSCC();
|
findSCC();
|
||||||
}
|
}
|
||||||
|
|
||||||
template<typename T>
|
template<typename T>
|
||||||
void DecrementalSCC<T>::findSCC() {
|
void RodittyZwick<T>::findSCC() {
|
||||||
auto SCCs = Tarjan<T>(G.adjMatrix).execute();
|
auto SCCs = Tarjan<T>(this->G.adjMatrix).execute();
|
||||||
|
|
||||||
for (auto& C : SCCs) {
|
for (auto& SCC : SCCs) {
|
||||||
const auto& w = C.id;
|
const auto& w = SCC.id;
|
||||||
|
|
||||||
for (const auto& v : std::views::keys(C.adjMatrix))
|
for (const auto& v : std::views::keys(SCC.adjMatrix))
|
||||||
A[v] = w;
|
A[v] = w;
|
||||||
|
|
||||||
outTree[w] = BreadthFirstTree<T>(C, w);
|
outTree[w] = BreadthFirstTree<T>(SCC, w);
|
||||||
inTree[w] = BreadthFirstTree<T>(C.reverse(), w);
|
inTree[w] = BreadthFirstTree<T>(SCC.reverse(), w);
|
||||||
|
|
||||||
SCC[w] = C;
|
C[w] = SCC;
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
template<typename T>
|
template<typename T>
|
||||||
bool DecrementalSCC<T>::query(const T& u, const T& v) {
|
bool RodittyZwick<T>::query(const T& u, const T& v) {
|
||||||
return A[u] == A[v];
|
return A[u] == A[v];
|
||||||
}
|
}
|
||||||
|
|
||||||
template<typename T>
|
template<typename T>
|
||||||
void DecrementalSCC<T>::remove(const T& u, const T& v) {
|
void RodittyZwick<T>::remove(const T& u, const T& v) {
|
||||||
const auto& w = A[u];
|
const auto& w = A[u];
|
||||||
SCC[w].remove(u, v);
|
C[w].remove(u, v);
|
||||||
G.remove(u, v);
|
this->G.remove(u, v);
|
||||||
|
|
||||||
// If u and v are not in the same SCC, do nothing
|
// If u and v are not in the same SCC, do nothing
|
||||||
if (A[u] != A[v]) return;
|
if (A[u] != A[v]) return;
|
||||||
@@ -83,8 +83,8 @@ void DecrementalSCC<T>::remove(const T& u, const T& v) {
|
|||||||
return;
|
return;
|
||||||
|
|
||||||
// Update In(w) and Out(w)
|
// Update In(w) and Out(w)
|
||||||
outTree[w] = BreadthFirstTree<T>(SCC[w], w);
|
outTree[w] = BreadthFirstTree<T>(C[w], w);
|
||||||
inTree[w] = BreadthFirstTree<T>(SCC[w].reverse(), w);
|
inTree[w] = BreadthFirstTree<T>(C[w].reverse(), w);
|
||||||
|
|
||||||
// If a SCC is broken, compute all SCCs again
|
// If a SCC is broken, compute all SCCs again
|
||||||
if (!inTree[w].adjMatrix.count(u) || !outTree[w].adjMatrix.count(v))
|
if (!inTree[w].adjMatrix.count(u) || !outTree[w].adjMatrix.count(v))
|
||||||
@@ -92,7 +92,7 @@ void DecrementalSCC<T>::remove(const T& u, const T& v) {
|
|||||||
}
|
}
|
||||||
|
|
||||||
template<typename T>
|
template<typename T>
|
||||||
void DecrementalSCC<T>::setGraph(Digraph<T> G) {
|
void RodittyZwick<T>::setGraph(Digraph<T> G) {
|
||||||
this->G = G;
|
this->G = G;
|
||||||
}
|
}
|
||||||
|
|
||||||
@@ -1,6 +1,6 @@
|
|||||||
#include <doctest/doctest.h>
|
#include <doctest/doctest.h>
|
||||||
|
|
||||||
#include "algorithm/decremental_scc.h"
|
#include "algorithm/roditty_zwick.h"
|
||||||
#include "algorithm/frigioni.h"
|
#include "algorithm/frigioni.h"
|
||||||
#include "algorithm/italiano.h"
|
#include "algorithm/italiano.h"
|
||||||
|
|
||||||
@@ -8,7 +8,7 @@ using namespace graph;
|
|||||||
|
|
||||||
TEST_SUITE("Decremental Reachability Test") {
|
TEST_SUITE("Decremental Reachability Test") {
|
||||||
|
|
||||||
TEST_CASE("DecrementalSCC") {
|
TEST_CASE("RodittyZwick") {
|
||||||
// 1 --> 2 --> 3 --> 1
|
// 1 --> 2 --> 3 --> 1
|
||||||
// 3 --> 4 --> 5 --> 3
|
// 3 --> 4 --> 5 --> 3
|
||||||
// 2 --> 6 --> 7 --> 8 --> 6
|
// 2 --> 6 --> 7 --> 8 --> 6
|
||||||
@@ -37,30 +37,30 @@ TEST_SUITE("Decremental Reachability Test") {
|
|||||||
|
|
||||||
REQUIRE_EQ(G.adjMatrix.size(), 13);
|
REQUIRE_EQ(G.adjMatrix.size(), 13);
|
||||||
|
|
||||||
algo::DecrementalSCC<std::uint16_t> decremental(G);
|
algo::RodittyZwick<std::uint16_t> rodittyZwick(G);
|
||||||
decremental.init();
|
rodittyZwick.init();
|
||||||
|
|
||||||
SUBCASE("DecrementalSCC::query") {
|
SUBCASE("RodittyZwick::query") {
|
||||||
CHECK_EQ(decremental.query(1, 5), true);
|
CHECK_EQ(rodittyZwick.query(1, 5), true);
|
||||||
CHECK_EQ(decremental.query(1, 7), false);
|
CHECK_EQ(rodittyZwick.query(1, 7), false);
|
||||||
CHECK_EQ(decremental.query(1, 9), false);
|
CHECK_EQ(rodittyZwick.query(1, 9), false);
|
||||||
}
|
}
|
||||||
|
|
||||||
SUBCASE("DecrementalSCC::remove") {
|
SUBCASE("RodittyZwick::remove") {
|
||||||
decremental.remove(12, 10);
|
rodittyZwick.remove(12, 10);
|
||||||
|
|
||||||
CHECK_EQ(decremental.query(12, 10), true);
|
CHECK_EQ(rodittyZwick.query(12, 10), true);
|
||||||
CHECK_EQ(decremental.query(11, 10), true);
|
CHECK_EQ(rodittyZwick.query(11, 10), true);
|
||||||
|
|
||||||
decremental.remove(9, 10);
|
rodittyZwick.remove(9, 10);
|
||||||
|
|
||||||
CHECK_EQ(decremental.query(12, 13), false);
|
CHECK_EQ(rodittyZwick.query(12, 13), false);
|
||||||
CHECK_EQ(decremental.query(10, 12), false);
|
CHECK_EQ(rodittyZwick.query(10, 12), false);
|
||||||
|
|
||||||
decremental.remove(2, 6);
|
rodittyZwick.remove(2, 6);
|
||||||
|
|
||||||
CHECK_EQ(decremental.query(5, 8), false);
|
CHECK_EQ(rodittyZwick.query(5, 8), false);
|
||||||
CHECK_EQ(decremental.query(6, 8), true);
|
CHECK_EQ(rodittyZwick.query(6, 8), true);
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|||||||
Reference in New Issue
Block a user