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19 commits
master ... dev

Author SHA1 Message Date
MaxanRus 59521e3be2 Add some features 2021-10-12 21:28:34 +03:00
MaxanRus 34560d3628 fix some bugs and add big test 2021-10-12 17:54:14 +03:00
MaxanRus 04109bd54b Add testing minimization 2021-10-11 01:13:50 +03:00
MaxanRus 346f0016a5 Some refactor 2021-10-11 00:32:47 +03:00
MaxanRus 40b634b722 Fix some bugs 2021-10-10 21:28:19 +03:00
MaxanRus 1aed271643 Delete unnecessary shared pointer 2021-10-10 21:08:13 +03:00
MaxanRus 7023d46c56 add readme 2021-10-06 11:11:51 +03:00
MaxanRus f715234f41 dot files 2021-10-05 20:41:05 +03:00
MaxanRus 124a6c17b1 regular to string 2021-10-05 18:13:31 +03:00
MaxanRus 0947eeac5d some fix bugs 2021-10-05 17:12:00 +03:00
MaxanRus aad17d8c8c refactoring & add invertion 2021-10-05 17:03:03 +03:00
MaxanRus 1fd4158840 refactor 2021-10-05 16:11:24 +03:00
MaxanRus 32f8a3dcc6 Many changes 2021-10-05 15:01:30 +03:00
MaxanRus 45527d2c06 Add converter regular to NFA 2021-10-03 16:42:51 +03:00
MaxanRus 82822d316f Add NFA 2021-09-27 23:13:02 +03:00
MaxanRus 65fffffe8e Reformat 2021-09-27 23:12:42 +03:00
MaxanRus 8e014193cc Add compress regular tree 2021-09-27 03:12:08 +03:00
MaxanRus f3848d88b3 Add parsing regular expressions 2021-09-27 02:59:08 +03:00
MaxanRus a1843f4898 Add regular 2021-09-24 18:28:10 +03:00
33 changed files with 2769 additions and 7 deletions

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@ -3,6 +3,7 @@ cmake_minimum_required(VERSION 3.10)
project("Formalang")
# set(CMAKE_CXX_FLAGS "-O3")
# set(CMAKE_CXX_FLAGS "-O0 --coverage -ftest-coverage -fprofile-arcs")
find_package(GTest REQUIRED)
find_package(Threads REQUIRED)
@ -10,19 +11,38 @@ find_package(Threads REQUIRED)
include_directories(
"include"
${GTEST_INCLUDE_DIRS}
${Boost_INCLUDE_DIR}
)
set(CMAKE_CXX_STANDARD 17)
set(SOURCE_FILES)
set(SOURCE_FILES
src/regular/RegularTree.cpp
src/regular/RegularTreeNode.cpp
src/NFA/NFAGraph.cpp
src/NFA/NFAGraphVertex.cpp
src/converters/RegularToNFA.cpp
src/converters/NFAToDFA.cpp
src/DFA/DFAGraph.cpp
src/DFA/DFAGraphVertex.cpp
src/converters/DFAToFDFA.cpp
src/converters/DFAToMinDFA.cpp
src/converters/DFAToRegular.cpp
src/converters/InvertFDFA.cpp
)
set(TEST_FILES)
set(TEST_FILES
tests/regular/ParseRegular.cpp
tests/NFAToDFA/CheckEquivalence.cpp
tests/regularToDFA/RegularToDFA.cpp
tests/DFAToRegular/DFAToRegular.cpp
tests/invertFDFA/InvertFDFA.cpp
tests/DFAToRegular/DFAToRegular2.cpp
tests/DFAToMinDFA/CountSizesMinDFA.cpp
tests/GenericTest/GenericTest1.cpp
)
add_executable(Formalang src/main.cpp ${SOURCE_FILES})
add_executable(Tests tests/test_main.cpp ${TEST_FILES} ${SOURCE_FILES})
add_executable(Tests tests/MainTest.cpp ${TEST_FILES} ${SOURCE_FILES})
target_link_libraries(Tests ${GTEST_LIBRARIES} Threads::Threads)
target_link_libraries(Formalang Threads::Threads)

43
README.md Normal file
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@ -0,0 +1,43 @@
# Formalang
```c++
#include "regular/RegularTree.hpp"
#include "NFA/NFAGraph.hpp"
#include "DFA/DFAGraph.hpp"
#include "converters/RegularToNFA.hpp"
#include "converters/NFAToDFA.hpp"
#include "converters/DFAToFDFA.hpp"
#include "converters/DFAToMinDFA.hpp"
#include "converters/DFAToRegular.hpp"
#include "converters/InvertFDFA.hpp"
using namespace regular;
using namespace NFA;
using namespace DFA;
using namespace converters;
```
так можно подключить все что есть в моей программе.
```c++
RegularTree r("a*"); // Регулярное выражение
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r)); // В НКА
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree)); // В ДКА
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph)); // Минимизация
DFA_graph.Print(); // Мой вывод
DFA_graph.CreateDotFile("2.dot"); // Вывод в dot файл
std::string reg = DFAGraphToRegular(std::move(DFA_graph)); // В регулярку
```
Такой вывод в регулярку как показано в прошлом примере сделает много лишних скобок, если мы хотим привести к более нормальному виду, то можно сделать так
```c++
RegularTree(reg).ToString() // Получится более красивая регулярка
```
Про сами регулярки + * - это плюс и звезда Клини. Их можно писать после слов, или после скобок.
abacaba\* ~ (abacaba)\*. a(b)a\* ~ a(b)(a)\*. Для сложения языков используется |. Символом пустого слова является пробел.
Очень важное отличие, что у меня + \* привязываются не к букве, а к слову(например aba* это (aba)\*, а не ab(a)\* как вы ожидаете), это значительное отличие от существующих регулярок, но .ToString у RegularTree всегда + \* выдаст строку у которой перед + \* будет стоять скобочка
Примеры регулярок
a*
a(b)+a
(a|b)*

71
include/DFA/DFAGraph.hpp Normal file
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@ -0,0 +1,71 @@
#pragma once
#include <map>
#include <vector>
#include <set>
#include <memory>
namespace DFA {
class DFAGraph {
public:
class Vertex {
public:
Vertex(DFAGraph* owner);
bool IsFinal() const;
bool IsStart() const;
size_t GetNumber() const;
const std::map<char, size_t>& GetTransitions() const;
const std::map<char, size_t>& GetBackTransitions() const;
void AddEdge(char, size_t);
void RemoveEdge(char);
void SetOwner(DFAGraph* owner);
void SetFinal(bool status);
void SetStart(bool status);
private:
DFAGraph* owner_;
std::map<char, size_t> transitions_;
std::map<char, size_t> back_transitions_;
size_t number_;
bool is_final_ = false;
bool is_start_ = false;
friend class DFAGraph;
};
DFAGraph() = default;
DFAGraph(const DFAGraph&) = delete;
DFAGraph(DFAGraph&&);
DFAGraph& operator=(const DFAGraph&) = delete;
DFAGraph& operator=(DFAGraph&&);
size_t AddNewVertex();
void AddFinalVertex(size_t number);
void SetStartVertex(size_t number);
void RemoveVertex(size_t number);
void RemoveFinalVertex(size_t number);
void RemoveStartVertex(size_t number);
Vertex& GetVertex(size_t number);
bool NotExistVertex(size_t number);
size_t GetCountVertexes() const;
size_t GetReallyCountVertexes() const;
const std::vector<size_t>& GetFinalVertexes() const;
size_t GetStartVertex() const;
void Print() const;
bool Accepted(const std::string&) const;
void CreateDotFile(const std::string& filename) const;
private:
size_t count_vertexes_ = 0;
std::map<size_t, Vertex> vertexes_;
std::vector<size_t> final_vertexes_;
size_t start_vertex_ = -1;
};
}

74
include/NFA/NFAGraph.hpp Normal file
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@ -0,0 +1,74 @@
#pragma once
#include <map>
#include <vector>
#include <set>
#include <memory>
namespace NFA {
class NFAGraph {
public:
class Vertex {
public:
Vertex(NFAGraph* owner);
bool IsFinal() const;
bool IsStart() const;
size_t GetNumber() const;
const std::map<char, std::set<size_t>>& GetTransitions() const;
const std::map<char, std::set<size_t>>& GetBackTransitions() const;
void AddEdge(char, size_t);
void RemoveEdge(char, size_t);
void SetOwner(NFAGraph* owner);
void SetFinal(bool status);
void SetStart(bool status);
private:
NFAGraph* owner_;
std::map<char, std::set<size_t>> transitions_;
std::map<char, std::set<size_t>> back_transitions_;
size_t number_;
bool is_final_ = false;
bool is_start_ = false;
friend class NFAGraph;
};
NFAGraph() = default;
NFAGraph(const NFAGraph&) = delete;
NFAGraph(NFAGraph&&);
NFAGraph& operator=(const NFAGraph&) = delete;
NFAGraph& operator=(NFAGraph&&);
size_t AddNewVertex();
void AddFinalVertex(size_t number);
void AddStartVertex(size_t number);
void RemoveVertex(size_t number);
void RemoveFinalVertex(size_t number);
void RemoveStartVertex(size_t number);
void Composition(NFAGraph&&,
std::vector<size_t> start_vertexes,
std::vector<size_t> final_vertexes);
Vertex& GetVertex(size_t number);
bool NotExistVertex(size_t number);
size_t GetCountVertexes() const;
size_t GetReallyCountVertexes() const;
const std::vector<size_t>& GetFinalVertexes() const;
const std::vector<size_t>& GetStartVertexes() const;
void Print() const;
void CreateDotFile(const std::string& filename) const;
private:
size_t count_vertexes_ = 0;
std::map<size_t, Vertex> vertexes_;
std::vector<size_t> final_vertexes_;
std::vector<size_t> start_vertexes_;
};
}

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@ -0,0 +1,7 @@
#pragma once
#include "DFA/DFAGraph.hpp"
namespace converters {
using namespace DFA;
DFAGraph DFAGraphToFDFAGraph(DFAGraph&&, const std::vector<char>& alphabet);
}

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@ -0,0 +1,7 @@
#pragma once
#include "DFA/DFAGraph.hpp"
namespace converters {
using namespace DFA;
DFAGraph DFAGraphToMinDFAGraph(DFAGraph&&);
}

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@ -0,0 +1,8 @@
#pragma once
#include "DFA/DFAGraph.hpp"
#include <string>
namespace converters {
using namespace DFA;
std::string DFAGraphToRegular(DFAGraph&&);
}

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@ -0,0 +1,7 @@
#pragma once
#include "DFA/DFAGraph.hpp"
namespace converters {
using namespace DFA;
DFAGraph InvertFDFAGraph(DFAGraph&&);
}

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@ -0,0 +1,13 @@
#pragma once
#include "NFA/NFAGraph.hpp"
#include "DFA/DFAGraph.hpp"
namespace converters {
using namespace NFA;
using namespace DFA;
NFAGraph AddAllEpsilonTransitions(NFAGraph&&);
NFAGraph AddAllPossibleFinalVertexes(NFAGraph&&);
NFAGraph DeleteEpsilonTransitions(NFAGraph&&);
NFAGraph DeleteTransitionsByOneLetter(NFAGraph&&);
DFAGraph NFAGraphToDFAGraph(NFAGraph&&);
}

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@ -0,0 +1,10 @@
#pragma once
#include "regular/RegularTree.hpp"
#include "NFA/NFAGraph.hpp"
namespace converters {
using namespace NFA;
using namespace regular;
NFAGraph RegularToNFAGraph(RegularTree&&);
}

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@ -0,0 +1,44 @@
#pragma once
#include <vector>
#include <memory>
#include <string>
#include <string_view>
namespace regular {
class RegularTree {
public:
class Node {
public:
enum class Type {
Addition, Concatenation, Word
};
enum class Modifier {
Plus, Star, None
};
Node();
Node(Type);
void Parse(const std::string&);
void Print() const;
std::vector<std::unique_ptr<Node>> children;
std::string word;
Type type;
Modifier modifier = Modifier::None;
std::string ToString() const;
private:
void ParseCurrentType(const std::string_view);
void Compression();
void Compression2();
void Print(int nesting_level) const;
};
RegularTree(const std::string&);
const Node& GetNode() const;
void Print() const;
std::string ToString() const;
private:
Node node_;
};
}

148
src/DFA/DFAGraph.cpp Normal file
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@ -0,0 +1,148 @@
#include "DFA/DFAGraph.hpp"
#include <algorithm>
#include <iostream>
#include <fstream>
namespace DFA {
DFAGraph::DFAGraph(DFAGraph&& another) {
std::swap(count_vertexes_, another.count_vertexes_);
std::swap(vertexes_, another.vertexes_);
std::swap(final_vertexes_, another.final_vertexes_);
std::swap(start_vertex_, another.start_vertex_);
for (auto& i: vertexes_)
i.second.owner_ = this;
for (auto& i: another.vertexes_)
i.second.owner_ = &another;
}
DFAGraph& DFAGraph::operator=(DFAGraph&& another) {
std::swap(count_vertexes_, another.count_vertexes_);
std::swap(vertexes_, another.vertexes_);
std::swap(final_vertexes_, another.final_vertexes_);
std::swap(start_vertex_, another.start_vertex_);
for (auto& i: vertexes_)
i.second.owner_ = this;
for (auto& i: another.vertexes_)
i.second.owner_ = &another;
return *this;
}
size_t DFAGraph::AddNewVertex() {
vertexes_.emplace(count_vertexes_, this);
GetVertex(count_vertexes_).number_ = count_vertexes_;
return count_vertexes_++;
}
void DFAGraph::AddFinalVertex(size_t number) {
if (!GetVertex(number).is_final_) {
GetVertex(number).is_final_ = true;
final_vertexes_.push_back(number);
}
}
void DFAGraph::SetStartVertex(size_t number) {
if (!GetVertex(number).is_start_) {
GetVertex(number).is_start_ = true;
start_vertex_ = number;
}
}
void DFAGraph::RemoveVertex(size_t number) {
RemoveFinalVertex(number);
RemoveStartVertex(number);
vertexes_.erase(number);
if (number == count_vertexes_ - 1) count_vertexes_--;
}
void DFAGraph::RemoveFinalVertex(size_t number) {
for (size_t i = 0; i < final_vertexes_.size(); ++i) {
if (final_vertexes_[i] == number) {
GetVertex(number).is_final_ = false;
std::swap(final_vertexes_[i], final_vertexes_.back());
final_vertexes_.pop_back();
break;
}
}
}
void DFAGraph::RemoveStartVertex(size_t number) {
if (start_vertex_ == number) {
start_vertex_ = -1;
GetVertex(number).is_start_ = false;
}
}
DFAGraph::Vertex& DFAGraph::GetVertex(size_t number) {
if (!NotExistVertex(number))
return vertexes_.at(number);
throw std::out_of_range("This vertex don't exist");
}
bool DFAGraph::NotExistVertex(size_t number) {
return !vertexes_.count(number);
}
size_t DFAGraph::GetCountVertexes() const {
return count_vertexes_;
}
size_t DFAGraph::GetReallyCountVertexes() const {
return vertexes_.size();
}
const std::vector<size_t>& DFAGraph::GetFinalVertexes() const {
return final_vertexes_;
}
size_t DFAGraph::GetStartVertex() const {
return start_vertex_;
}
void DFAGraph::Print() const {
for (auto i: vertexes_) {
std::cout << i.second.number_ << " " << "f-" << i.second.is_final_ << " s-" <<
i.second.is_start_ << std::endl;
}
for (auto& i: vertexes_) {
for (auto& j: i.second.transitions_) {
std::cout << i.second.number_ << "->" << j.second << " <" << j.first << ">" <<
std::endl;
}
}
std::cout << std::endl;
}
bool DFAGraph::Accepted(const std::string& str) const {
size_t current = start_vertex_;
for (auto i: str) {
if (vertexes_.at(current).GetTransitions().count(i)) {
current = vertexes_.at(vertexes_.at(current).GetTransitions().at(i)).GetNumber();
} else {
return false;
}
}
return vertexes_.at(current).IsFinal();
}
void DFAGraph::CreateDotFile(const std::string& filename) const {
std::ofstream out(filename);
out << "digraph G {\n";
for (auto& i: vertexes_) {
for (auto& j: i.second.transitions_) {
out << i.first << "->" << j.second << "[label=" << j.first << "]\n";
}
if (i.second.IsStart() && i.second.IsFinal()) {
out << " " << i.first << " [shape=star];\n";
} else if (i.second.IsStart()) {
out << " " << i.first << " [shape=rarrow];\n";
} else if (i.second.IsFinal()) {
out << " " << i.first << " [shape=Msquare];\n";
}
}
out << "}\n";
}
}

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@ -0,0 +1,57 @@
#include "DFA/DFAGraph.hpp"
using Vertex = DFA::DFAGraph::Vertex;
Vertex::Vertex(DFAGraph* owner) : owner_(owner) {}
bool Vertex::IsFinal() const {
return is_final_;
}
bool Vertex::IsStart() const {
return is_start_;
}
size_t Vertex::GetNumber() const {
return number_;
}
const std::map<char, size_t>& Vertex::GetTransitions() const {
return transitions_;
}
const std::map<char, size_t>& Vertex::GetBackTransitions() const {
return back_transitions_;
}
void Vertex::AddEdge(char symbol, size_t number) {
transitions_[symbol] = number;
owner_->GetVertex(number).back_transitions_[symbol] = number_;
}
void Vertex::RemoveEdge(char symbol) {
owner_->GetVertex(transitions_[symbol]).back_transitions_.erase(symbol);
transitions_.erase(symbol);
}
void Vertex::SetOwner(DFAGraph* owner) {
owner_ = owner;
}
void Vertex::SetFinal(bool status) {
if (status != is_final_) {
if (status)
owner_->AddFinalVertex(number_);
else
owner_->RemoveFinalVertex(number_);
}
}
void Vertex::SetStart(bool status) {
if (status != is_start_) {
if (status)
owner_->SetStartVertex(number_);
else
owner_->RemoveStartVertex(number_);
}
}

205
src/NFA/NFAGraph.cpp Normal file
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@ -0,0 +1,205 @@
#include "NFA/NFAGraph.hpp"
#include <algorithm>
#include <iostream>
#include <fstream>
namespace NFA {
NFAGraph::NFAGraph(NFAGraph&& another) {
std::swap(count_vertexes_, another.count_vertexes_);
std::swap(vertexes_, another.vertexes_);
std::swap(final_vertexes_, another.final_vertexes_);
std::swap(start_vertexes_, another.start_vertexes_);
for (auto& i: vertexes_)
i.second.owner_ = this;
for (auto& i: another.vertexes_)
i.second.owner_ = &another;
}
NFAGraph& NFAGraph::operator=(NFAGraph&& another) {
std::swap(count_vertexes_, another.count_vertexes_);
std::swap(vertexes_, another.vertexes_);
std::swap(final_vertexes_, another.final_vertexes_);
std::swap(start_vertexes_, another.start_vertexes_);
for (auto& i: vertexes_)
i.second.owner_ = this;
for (auto& i: another.vertexes_)
i.second.owner_ = &another;
return *this;
}
size_t NFAGraph::AddNewVertex() {
vertexes_.emplace(count_vertexes_, this);
GetVertex(count_vertexes_).number_ = count_vertexes_;
return count_vertexes_++;
}
void NFAGraph::AddFinalVertex(size_t number) {
if (!GetVertex(number).is_final_) {
GetVertex(number).is_final_ = true;
final_vertexes_.push_back(number);
}
}
void NFAGraph::AddStartVertex(size_t number) {
if (!GetVertex(number).is_start_) {
GetVertex(number).is_start_ = true;
start_vertexes_.push_back(number);
}
}
void NFAGraph::RemoveVertex(size_t number) {
RemoveFinalVertex(number);
RemoveStartVertex(number);
vertexes_.erase(number);
}
void NFAGraph::RemoveFinalVertex(size_t number) {
for (size_t i = 0; i < final_vertexes_.size(); ++i) {
if (final_vertexes_[i] == number) {
GetVertex(number).is_final_ = false;
std::swap(final_vertexes_[i], final_vertexes_.back());
final_vertexes_.pop_back();
break;
}
}
}
void NFAGraph::RemoveStartVertex(size_t number) {
for (size_t i = 0; i < start_vertexes_.size(); ++i) {
if (start_vertexes_[i] == number) {
GetVertex(number).is_start_ = false;
std::swap(start_vertexes_[i], start_vertexes_.back());
start_vertexes_.pop_back();
break;
}
}
}
void NFAGraph::Composition(NFAGraph&& nfa_graph,
std::vector<size_t> start_vertexes,
std::vector<size_t> final_vertexes) {
auto add_final_vertexes = nfa_graph.final_vertexes_;
auto add_start_vertexes = nfa_graph.start_vertexes_;
size_t new_count_vertexes = count_vertexes_;
for (auto& i: nfa_graph.vertexes_) {
new_count_vertexes = std::max(new_count_vertexes, i.first + count_vertexes_ + 1);
i.second.number_ += count_vertexes_;
std::map<char, std::set<size_t>> new_transitions;
for (auto& j: i.second.transitions_) {
for (auto& k: j.second) {
new_transitions[j.first].insert(k + count_vertexes_);
}
}
std::map<char, std::set<size_t>> new_back_transitions;
for (auto& j: i.second.back_transitions_) {
for (auto& k: j.second) {
new_back_transitions[j.first].insert(k + count_vertexes_);
}
}
i.second.transitions_ = std::move(new_transitions);
i.second.back_transitions_ = std::move(new_back_transitions);
i.second.SetOwner(this);
vertexes_.emplace(i.second.number_, std::move(i.second));
}
for (auto& i: add_start_vertexes) {
i += count_vertexes_;
}
for (auto& i: add_final_vertexes) {
i += count_vertexes_;
}
count_vertexes_ = new_count_vertexes;
for (auto& i: start_vertexes) {
for (auto& j: add_start_vertexes) {
GetVertex(i).transitions_[' '].insert(j);
GetVertex(j).back_transitions_[' '].insert(i);
}
}
for (auto& i: add_final_vertexes) {
for (auto& j: final_vertexes) {
GetVertex(i).transitions_[' '].insert(j);
GetVertex(j).back_transitions_[' '].insert(i);
}
}
for (auto& i: add_final_vertexes) {
GetVertex(i).is_final_ = false;
}
for (auto& i: add_start_vertexes) {
GetVertex(i).is_start_ = false;
}
}
NFAGraph::Vertex& NFAGraph::GetVertex(size_t number) {
if (!NotExistVertex(number))
return vertexes_.at(number);
throw std::out_of_range("This vertex don't exist");
}
bool NFAGraph::NotExistVertex(size_t number) {
return !vertexes_.count(number);
}
size_t NFAGraph::GetCountVertexes() const {
return count_vertexes_;
}
size_t NFAGraph::GetReallyCountVertexes() const {
return vertexes_.size();
}
const std::vector<size_t>& NFAGraph::GetFinalVertexes() const {
return final_vertexes_;
}
const std::vector<size_t>& NFAGraph::GetStartVertexes() const {
return start_vertexes_;
}
void NFAGraph::Print() const {
for (auto i: vertexes_) {
std::cout << i.second.number_ << " " << "f-" << i.second.is_final_ << " s-" <<
i.second.is_start_ << std::endl;
}
for (auto& i: vertexes_) {
for (auto& j: i.second.transitions_) {
for (auto k: j.second) {
std::cout << i.second.number_ << "." << k << " <" << j.first << ">" <<
std::endl;
}
}
}
std::cout << std::endl;
}
void NFAGraph::CreateDotFile(const std::string& filename) const {
std::ofstream out(filename);
out << "digraph G {\n";
for (auto& i: vertexes_) {
for (auto& j: i.second.transitions_) {
for (auto& k: j.second) {
if (j.first == ' ')
out << i.first << "->" << k << "[label=" << "EPS" << "]\n";
else
out << i.first << "->" << k << "[label=" << j.first << "]\n";
}
}
if (i.second.IsStart() && i.second.IsFinal()) {
out << " " << i.first << " [shape=star];\n";
} else if (i.second.IsStart()) {
out << " " << i.first << " [shape=rarrow];\n";
} else if (i.second.IsFinal()) {
out << " " << i.first << " [shape=Msquare];\n";
}
}
out << "}\n";
}
}

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#include "NFA/NFAGraph.hpp"
using Vertex = NFA::NFAGraph::Vertex;
Vertex::Vertex(NFAGraph* owner) : owner_(owner) {}
bool Vertex::IsFinal() const {
return is_final_;
}
bool Vertex::IsStart() const {
return is_start_;
}
size_t Vertex::GetNumber() const {
return number_;
}
const std::map<char, std::set<size_t>>& Vertex::GetTransitions() const {
return transitions_;
}
const std::map<char, std::set<size_t>>& Vertex::GetBackTransitions() const {
return back_transitions_;
}
void Vertex::AddEdge(char symbol, size_t number) {
transitions_[symbol].insert(number);
owner_->GetVertex(number).back_transitions_[symbol];
owner_->GetVertex(number).back_transitions_[symbol].insert(number_);
}
void Vertex::RemoveEdge(char symbol, size_t number) {
transitions_[symbol].erase(number);
if (transitions_[symbol].size() == 0)
transitions_.erase(symbol);
owner_->GetVertex(number).back_transitions_[symbol].erase(number_);
if (owner_->GetVertex(number).back_transitions_[symbol].size() == 0)
owner_->GetVertex(number).back_transitions_.erase(symbol);
}
void Vertex::SetOwner(NFAGraph* owner) {
owner_ = owner;
}
void Vertex::SetFinal(bool status) {
if (status != is_final_) {
if (status)
owner_->AddFinalVertex(number_);
else
owner_->RemoveFinalVertex(number_);
}
}
void Vertex::SetStart(bool status) {
if (status != is_start_) {
if (status)
owner_->AddStartVertex(number_);
else
owner_->RemoveStartVertex(number_);
}
}

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#include "converters/DFAToFDFA.hpp"
namespace converters {
DFAGraph DFAGraphToFDFAGraph(DFAGraph&& graph, const std::vector<char>& alphabet) {
DFAGraph result;
const int n = graph.GetCountVertexes();
std::map<size_t, size_t> number_vertex_in_DFA;
for (int i = 0; i < n; ++i) {
if (graph.NotExistVertex(i)) continue;
number_vertex_in_DFA[i] = result.AddNewVertex();
}
for (int i = 0; i < n; ++i) {
if (graph.NotExistVertex(i)) continue;
if (graph.GetVertex(i).IsFinal())
result.GetVertex(number_vertex_in_DFA[i]).SetFinal(true);
if (graph.GetVertex(i).IsStart())
result.GetVertex(number_vertex_in_DFA[i]).SetStart(true);
const auto& transitions = graph.GetVertex(i).GetTransitions();
for (const auto& t: transitions) {
result.GetVertex(number_vertex_in_DFA[i]).AddEdge(t.first, t.second);
}
}
size_t drain = result.AddNewVertex();
for (int i = 0; i < n; ++i) {
const auto& transitions = graph.GetVertex(i).GetTransitions();
for (char j: alphabet) {
if (!transitions.count(j)) {
result.GetVertex(i).AddEdge(j, drain);
}
}
}
if (result.GetVertex(drain).GetBackTransitions().size() == 0) {
result.RemoveVertex(drain);
} else {
for (char j: alphabet) {
result.GetVertex(drain).AddEdge(j, drain);
}
}
return result;
}
}

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#include "converters/DFAToMinDFA.hpp"
#include <iostream>
namespace converters {
DFAGraph DFAGraphToMinDFAGraph(DFAGraph&& graph) {
const int n = graph.GetCountVertexes();
DFAGraph result;
std::vector<char> alphabet;
{
std::set<char> set_alphabet;
for (int i = 0; i < n; ++i) {
if (graph.NotExistVertex(i)) continue;
for (auto i: graph.GetVertex(i).GetTransitions()) {
set_alphabet.insert(i.first);
}
}
alphabet = std::vector<char>(set_alphabet.begin(), set_alphabet.end());
}
std::vector<std::vector<std::vector<size_t>>> table(n,
std::vector<std::vector<size_t>>(n, std::vector<size_t>(alphabet.size() + 1)));
{
std::vector<std::vector<size_t>>& layer(table[0]);
for (int i = 0; i < n; ++i) {
layer[i][0] = graph.GetVertex(i).IsFinal();
}
for (int i = 0; i < n; ++i) {
for (int j = 0; j < alphabet.size(); ++j) {
const auto& transitions = graph.GetVertex(i).GetTransitions();
if (transitions.count(alphabet[j]))
layer[i][j + 1] = layer[transitions.at(alphabet[j])][0];
else
layer[i][j + 1] = -1;
}
}
}
for (int number_layer = 1; number_layer < n; ++number_layer) {
size_t count_types = 0;
std::vector<std::vector<size_t>>& prev_layer(table[number_layer - 1]);
std::vector<std::vector<size_t>>& layer(table[number_layer]);
for (int i = 0; i < n; ++i) {
bool is_find = false;
for (int j = 0; j < i; ++j) {
if (prev_layer[j] == prev_layer[i]) {
layer[i][0] = layer[j][0];
is_find = true;
break;
}
}
if (!is_find) {
layer[i][0] = count_types++;
}
}
for (int i = 0; i < n; ++i) {
for (int j = 0; j < alphabet.size(); ++j) {
const auto& transitions = graph.GetVertex(i).GetTransitions();
if (transitions.count(alphabet[j]))
layer[i][j + 1] = layer[transitions.at(alphabet[j])][0];
else
layer[i][j + 1] = -1LL;
}
}
}
/*
for (int i = 0; i < n; ++i) {
for (int k = 0; k < n; ++k) {
for (int j = 0; j < alphabet.size() + 1; ++j) {
std::cout << table[k][i][j] << " ";
}
std::cout << "| ";
}
std::cout << std::endl;
}
*/
std::vector<std::vector<size_t>>& last_layer(table.back());
size_t count_vertex = 0;
for (int i = 0; i < n; ++i) {
count_vertex = std::max(count_vertex, last_layer[i][0]);
}
count_vertex++;
std::map<size_t, size_t> number_vertex_in_DFA;
for (int i = 0; i < count_vertex; ++i) {
number_vertex_in_DFA[i] = result.AddNewVertex();
}
for (int i = 0; i < n; ++i) {
size_t v = number_vertex_in_DFA[last_layer[i][0]];
const auto& transitions = graph.GetVertex(i).GetTransitions();
for (const auto& t: transitions) {
if (last_layer[t.second][0] != -1LL) {
size_t u = number_vertex_in_DFA[last_layer[t.second][0]];
result.GetVertex(v).AddEdge(t.first, u);
}
}
if (graph.GetVertex(i).IsStart()) result.GetVertex(v).SetStart(true);
if (graph.GetVertex(i).IsFinal()) result.GetVertex(v).SetFinal(true);
}
return result;
}
}

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#include "converters/DFAToRegular.hpp"
#include "regular/RegularTree.hpp"
#include <iostream>
#include <fstream>
namespace converters {
std::string DFAGraphToRegular(DFAGraph&& graph) {
const size_t n = graph.GetCountVertexes() + 1;
std::map<size_t, size_t> rename;
size_t start = -1;
for (int i = 0; i < n - 1; ++i) {
if (graph.NotExistVertex(i)) continue;
if (graph.GetVertex(i).IsStart()) {
start = i;
}
}
rename[start] = 1;
int cnt = 2;
for (int i = 0; i < n - 1; ++i) {
if (i == start) continue;
rename[i] = cnt++;
}
std::vector<std::vector<std::set<std::string>>> transitions(cnt,
std::vector<std::set<std::string>>(cnt));
for (int i = 0; i < n - 1; ++i) {
if (graph.NotExistVertex(i)) continue;
const auto& vertex_transitions = graph.GetVertex(i).GetTransitions();
for (auto j: vertex_transitions) {
transitions[rename[i]][rename[j.second]].insert(std::string(1, j.first));
}
if (graph.GetVertex(i).IsFinal()) {
transitions[rename[i]][0].insert("( )");
}
}
const bool print_table = true;
auto PrintTable = [n, &transitions](int i) {
std::ofstream out("ConvertToRegular/" + std::to_string(n - i) + ".dot");
out << "digraph G {\n";
for (int j = 0; j < i; ++j) {
for (int k = 0; k < i; ++k) {
std::string j_to_k = "";
for (const std::string& s: transitions[j][k]) {
j_to_k += "(";
j_to_k += s;
j_to_k += ")";
j_to_k += "|";
}
if (j_to_k.size())
j_to_k.pop_back();
else
continue;
out << j << "->" << k << "[label=\"" << regular::RegularTree(j_to_k).ToString() << "\"]\n";
}
}
out << " " << 1 << " [shape=rarrow];\n";
out << " " << 0 << " [shape=Msquare];\n";
out << "}\n";
};
if (print_table) {
PrintTable(cnt);
}
for (int i = cnt - 1; i > 1; --i) {
std::vector<std::vector<std::set<std::string>>> new_transitions(cnt,
std::vector<std::set<std::string>>(cnt));
std::string loop;
if (transitions[i][i].size() != 0) {
for (const std::string& s: transitions[i][i]) {
loop += "(";
loop += s;
loop += ")";
loop += "|";
}
if (loop.size()) {
loop.pop_back();
loop = "(" + loop + ")*";
} else {
loop = "";
}
}
for (int j = 0; j < i; ++j) {
if (transitions[j][i].size() == 0) continue;
std::string j_to_i;
for (const std::string s: transitions[j][i]) {
j_to_i += "(";
j_to_i += s;
j_to_i += ")";
j_to_i += "|";
}
if (j_to_i.size())
j_to_i.pop_back();
else
continue;
j_to_i = "(" + j_to_i + ")";
for (int k = 0; k < i; ++k) {
if (transitions[i][k].size() == 0) continue;
std::string i_to_k = "";
for (const std::string& s: transitions[i][k]) {
i_to_k += "(";
i_to_k += s;
i_to_k += ")";
i_to_k += "|";
}
if (i_to_k.size())
i_to_k.pop_back();
else
continue;
i_to_k = "(" + i_to_k + ")";
new_transitions[j][k].insert(j_to_i + loop + i_to_k);
}
}
for (int j = 0; j < i; ++j) {
for (int k = 0; k < i; ++k) {
transitions[j][k].insert(new_transitions[j][k].begin(), new_transitions[j][k].end());
}
}
if (print_table) {
PrintTable(i);
}
}
std::string loop;
std::string start_to_end;
if (transitions[1][1].size() != 0) {
for (const std::string& s: transitions[1][1]) {
loop += "(";
loop += s;
loop += ")";
loop += "|";
}
if (loop.size()) {
loop.pop_back();
loop = "(" + loop + ")*";
} else {
loop = "";
}
}
for (const std::string& s: transitions[1][0]) {
start_to_end += "(";
start_to_end += s;
start_to_end += ")";
start_to_end += "|";
}
if (start_to_end.size())
start_to_end.pop_back();
return loop + "(" + start_to_end + ")";
}
}

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#include "converters/InvertFDFA.hpp"
namespace converters {
DFAGraph InvertFDFAGraph(DFAGraph&& fdfa_graph) {
const size_t n = fdfa_graph.GetCountVertexes();
for (int i = 0; i < n; ++i) {
if (fdfa_graph.NotExistVertex(i)) continue;
fdfa_graph.GetVertex(i).SetFinal(!fdfa_graph.GetVertex(i).IsFinal());
}
return std::move(fdfa_graph);
}
}

227
src/converters/NFAToDFA.cpp Normal file
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#include "converters/NFAToDFA.hpp"
#include <functional>
#include <queue>
#include <stdexcept>
#include <iostream>
#include <iomanip>
namespace converters {
NFAGraph AddAllEpsilonTransitions(NFAGraph&& nfa_graph) {
const int n = nfa_graph.GetCountVertexes();
std::vector<bool> used(n, false);
std::function<void(int, int)> dfs = [&nfa_graph, &used, &dfs](int u, int v) -> void {
used[v] = true;
const auto& transitions = nfa_graph.GetVertex(v).GetTransitions();
if (transitions.count(' ')) {
const auto& s = transitions.at(' ');
for (auto i: s) {
if (!used[i]) {
if (u != i)
nfa_graph.GetVertex(u).AddEdge(' ', i);
dfs(u, i);
}
}
}
};
for (int i = 0; i < n; ++i) {
if (nfa_graph.NotExistVertex(i)) continue;
used.assign(n, false);
dfs(i, i);
}
return std::move(nfa_graph);
}
NFAGraph AddAllPossibleFinalVertexes(NFAGraph&& nfa_graph) {
if (nfa_graph.GetStartVertexes().size() != 1) {
size_t start_vertex = nfa_graph.AddNewVertex();
for (auto v: nfa_graph.GetStartVertexes()) {
nfa_graph.GetVertex(start_vertex).AddEdge(' ', v);
}
}
for (const auto& v: nfa_graph.GetFinalVertexes()) {
const auto& transitions = nfa_graph.GetVertex(v).GetBackTransitions();
if (transitions.count(' ')) {
const auto& s = transitions.at(' ');
for (auto i: s) {
nfa_graph.GetVertex(i).SetFinal(true);
}
}
}
return std::move(nfa_graph);
}
NFAGraph DeleteEpsilonTransitions(NFAGraph&& nfa_graph) {
const int n = nfa_graph.GetCountVertexes();
for (int v = 0; v < n; ++v) {
if (nfa_graph.NotExistVertex(v)) continue;
const auto& transitions = nfa_graph.GetVertex(v).GetTransitions();
if (transitions.count(' ')) {
auto s = transitions.at(' ');
for (auto u: s) {
for (auto& i: nfa_graph.GetVertex(u).GetTransitions()) {
if (i.first == ' ') continue;
for (auto t: i.second) {
nfa_graph.GetVertex(v).AddEdge(i.first, t);
}
}
}
for (auto u: s) {
nfa_graph.GetVertex(v).RemoveEdge(' ', u);
}
}
}
return std::move(nfa_graph);
}
NFAGraph DeleteTransitionsByOneLetter(NFAGraph&& nfa_graph) {
const int n = nfa_graph.GetCountVertexes();
NFAGraph result_tree;
std::map<std::pair<std::set<size_t>, char>, std::set<size_t>> transitions;
std::map<std::set<size_t>, size_t> number_vertex_in_result_tree;
std::queue<std::set<size_t>> queue;
std::set<char> alphabet;
for (int i = 0; i < n; ++i) {
if (nfa_graph.NotExistVertex(i)) continue;
for (const auto& j: nfa_graph.GetVertex(i).GetTransitions()) {
if (j.second.size() > 0)
alphabet.insert(j.first);
}
}
for (auto i: nfa_graph.GetStartVertexes()) {
queue.push({i});
number_vertex_in_result_tree[{i}] = result_tree.AddNewVertex();
}
const bool print_table = false;
const size_t length_set = 10;
if (print_table) {
std::cout << std::setw(length_set) << "vertex" << " | ";
for (auto i: alphabet) {
std::cout << std::string(length_set / 2, ' ') << i << std::string(length_set - length_set / 2 - 1, ' ') << " | ";
}
std::cout << std::setw(length_set) << "new number" << " | ";
std::cout << std::endl;
std::cout << std::string((length_set + 3) * (alphabet.size() + 2) - 1, '-') << std::endl;
}
while (!queue.empty()) {
auto current = queue.front();
queue.pop();
if (print_table) {
std::string res;
for (int v: current) {
res += std::to_string(v) + ",";
}
if (res.length())
res.pop_back();
std::cout << std::setw(length_set) << res << " | ";
}
for (auto symbol: alphabet) {
std::set<size_t> result;
for (auto v: current) {
const auto& transitions = nfa_graph.GetVertex(v).GetTransitions();
if (transitions.count(symbol)) {
const auto& s = transitions.at(symbol);
result.insert(s.begin(), s.end());
}
}
if (print_table) {
std::string res;
if (result.size() == 0) {
std::cout << std::setw(length_set) << '-' << " | ";
} else {
for (int v: result) {
res += std::to_string(v) + ",";
}
if (res.length())
res.pop_back();
std::cout << std::setw(length_set) << res << " | ";
}
}
if (result.size() == 0) continue;
transitions[std::make_pair(current, symbol)] = result;
if (!number_vertex_in_result_tree.count(result)) {
queue.push(result);
number_vertex_in_result_tree[result] = result_tree.AddNewVertex();
}
}
if (print_table) {
std::cout << std::setw(length_set) << number_vertex_in_result_tree[current] << "|";
std::cout << std::endl;
}
}
for (auto i: transitions) {
int v = number_vertex_in_result_tree[i.first.first];
int u = number_vertex_in_result_tree[i.second];
char symbol = i.first.second;
result_tree.GetVertex(v).AddEdge(symbol, u);
}
for (auto i: number_vertex_in_result_tree) {
auto s = i.first;
auto v = i.second;
for (auto i: s) {
if (nfa_graph.GetVertex(i).IsFinal())
result_tree.GetVertex(v).SetFinal(true);
if (nfa_graph.GetVertex(i).IsStart())
result_tree.GetVertex(v).SetStart(true);
}
}
return result_tree;
}
DFAGraph NFAGraphToDFAGraph(NFAGraph&& nfa_graph) {
nfa_graph = AddAllEpsilonTransitions(std::move(nfa_graph));
nfa_graph = AddAllPossibleFinalVertexes(std::move(nfa_graph));
nfa_graph = DeleteEpsilonTransitions(std::move(nfa_graph));
nfa_graph = DeleteTransitionsByOneLetter(std::move(nfa_graph));
const int n = nfa_graph.GetCountVertexes();
DFAGraph result;
std::map<int, int> number_vertex_in_DFA;
for (int i = 0; i < n; ++i) {
if (nfa_graph.NotExistVertex(i)) continue;
number_vertex_in_DFA[i] = result.AddNewVertex();
}
bool exists_start_vertex = false;
for (int i = 0; i < n; ++i) {
if (nfa_graph.NotExistVertex(i)) continue;
if (nfa_graph.GetVertex(i).IsFinal())
result.GetVertex(number_vertex_in_DFA[i]).SetFinal(true);
if (nfa_graph.GetVertex(i).IsStart()) {
if (exists_start_vertex) {
throw std::runtime_error("I can't delete starts vertex");
}
result.GetVertex(number_vertex_in_DFA[i]).SetStart(true);
exists_start_vertex = true;
}
const auto& transitions = nfa_graph.GetVertex(i).GetTransitions();
for (const auto& t: transitions) {
if (t.second.size() != 1) throw std::logic_error("");
result.GetVertex(number_vertex_in_DFA[i]).AddEdge(t.first, *t.second.begin());
}
}
if (!exists_start_vertex) {
throw std::runtime_error("I can't find start vertex");
}
return result;
}
}

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#include "converters/RegularToNFA.hpp"
#include "regular/RegularTree.hpp"
#include "NFA/NFAGraph.hpp"
using namespace NFA;
using namespace regular;
using Node = RegularTree::Node;
struct do_nothing_deleter{
template<typename T>
void operator()(T*) const {}
};
template<typename deleter>
NFAGraph RegularToNFA(std::unique_ptr<Node, deleter> node) {
NFAGraph result;
if (node->type == Node::Type::Word) {
auto end = result.AddNewVertex();
auto start = end;
result.AddStartVertex(end);
for (char i: node->word) {
auto tmp = result.AddNewVertex();
result.GetVertex(end).AddEdge(i, tmp);
end = tmp;
}
if (node->modifier == Node::Modifier::Plus) {
result.GetVertex(end).AddEdge(' ', start);
} else if (node->modifier == Node::Modifier::Star) {
result.GetVertex(end).AddEdge(' ', start);
result.GetVertex(start).AddEdge(' ', end);
}
result.AddFinalVertex(end);
} else if (node->type == Node::Type::Concatenation) {
result = RegularToNFA(std::move(node->children[0]));
for (auto it = node->children.begin() + 1; it != node->children.end(); ++it) {
auto tmp = RegularToNFA(std::move(*it));
auto v = result.AddNewVertex();
result.Composition(std::move(tmp), result.GetFinalVertexes(), {v});
while (!result.GetFinalVertexes().empty()) {
result.RemoveFinalVertex(result.GetFinalVertexes()[0]);
}
result.AddFinalVertex(v);
}
const auto& start_vertexes = result.GetStartVertexes();
const auto& end_vertexes = result.GetFinalVertexes();
if (node->modifier == Node::Modifier::Plus) {
for (auto start: start_vertexes) {
for (auto end: end_vertexes) {
result.GetVertex(end).AddEdge(' ', start);
}
}
} else if (node->modifier == Node::Modifier::Star) {
for (auto start: start_vertexes) {
for (auto end: end_vertexes) {
result.GetVertex(end).AddEdge(' ', start);
result.GetVertex(start).AddEdge(' ', end);
}
}
}
} else if (node->type == Node::Type::Addition) {
auto start = result.AddNewVertex();
result.AddStartVertex(start);
auto end = result.AddNewVertex();
result.AddFinalVertex(end);
for (auto& i: node->children) {
auto tmp = RegularToNFA(std::move(i));
result.Composition(std::move(tmp), {start}, {end});
}
if (node->modifier == Node::Modifier::Plus) {
result.GetVertex(end).AddEdge(' ', start);
} else if (node->modifier == Node::Modifier::Star) {
result.GetVertex(end).AddEdge(' ', start);
result.GetVertex(start).AddEdge(' ', end);
}
}
return result;
}
namespace converters {
NFAGraph RegularToNFAGraph(RegularTree&& tree) {
const Node& root = tree.GetNode();
return RegularToNFA(std::unique_ptr<Node,
do_nothing_deleter>(&const_cast<Node&>(tree.GetNode())));
}
}

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#include <iostream>
#include "regular/RegularTree.hpp"
#include "NFA/NFAGraph.hpp"
#include "DFA/DFAGraph.hpp"
#include "converters/RegularToNFA.hpp"
#include "converters/NFAToDFA.hpp"
#include "converters/DFAToFDFA.hpp"
#include "converters/DFAToMinDFA.hpp"
#include "converters/DFAToRegular.hpp"
#include "converters/InvertFDFA.hpp"
#include <random>
#define RegularStringToDFAGraph(s) NFAGraphToDFAGraph(RegularToNFAGraph(RegularTree(s)))
#define RegularStringToMinDFAGraph(s) DFAGraphToMinDFAGraph(NFAGraphToDFAGraph(RegularToNFAGraph(RegularTree(s))))
#define InvertRegularString(v, s) RegularTree(DFAGraphToRegular(DFAGraphToMinDFAGraph(InvertFDFAGraph(DFAGraphToMinDFAGraph(DFAGraphToFDFAGraph(NFAGraphToDFAGraph(RegularToNFAGraph(RegularTree(s))), v)))))).ToString()
using namespace regular;
using namespace NFA;
using namespace DFA;
using namespace converters;
void example1() {
RegularTree r("a*");
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r)); // Regular to FA
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree)); // to DFA
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph)); // minimize
std::string reg = DFAGraphToRegular(std::move(DFA_graph)); // DFA to regular
r = RegularTree(reg); // create regular
NFA_tree = RegularToNFAGraph(std::move(r)); // to FA
DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree)); // to DFA
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph)); // minimize
DFA_graph.Print(); // print
}
void example2() {
NFAGraph nfa_graph;
const size_t N = 10;
size_t a[N];
for (size_t i = 0; i < N; ++i)
a[i] = nfa_graph.AddNewVertex();
auto AddEdge = [&nfa_graph, &a](char symbol, int u, int v) {
nfa_graph.GetVertex(a[u]).AddEdge(symbol, a[v]);
};
AddEdge('a', 0, 1);
AddEdge('b', 0, 2);
AddEdge('b', 1, 3);
AddEdge('b', 2, 4);
DFAGraph dfa_graph = NFAGraphToDFAGraph(std::move(nfa_graph));
dfa_graph = DFAGraphToMinDFAGraph(std::move(dfa_graph));
dfa_graph.Print();
}
std::mt19937 rnd(1337);
std::string GenerateRandomString(std::vector<char> alphabet, size_t len) {
std::string res(len, ' ');
for (auto& i: res) {
i = alphabet[rnd() % alphabet.size()];
}
return res;
}
int main() {
std::cout << "hello world";
}

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#include "regular/RegularTree.hpp"
namespace regular {
RegularTree::RegularTree(const std::string& regular) {
node_.Parse(regular);
}
const RegularTree::Node& RegularTree::GetNode() const {
return node_;
}
void RegularTree::Print() const {
node_.Print();
}
std::string RegularTree::ToString() const {
return node_.ToString();
}
}

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#include "regular/RegularTree.hpp"
#include <iostream>
using Node = regular::RegularTree::Node;
Node::Node() {}
Node::Node(Type type) : type(type) {}
void Node::Parse(const std::string& regular) {
type = Type::Addition;
ParseCurrentType(std::string_view(regular.c_str(), regular.size()));
for (int i = 0; i < 10; ++i) {
Compression();
Compression2();
}
}
void Node::Print() const {
Print(0);
}
void Node::ParseCurrentType(const std::string_view regular) {
const size_t n = regular.size();
children.clear();
word.clear();
auto AddChild = [this](const std::string_view regular) {
this->children.push_back(std::make_unique<Node>(Type::Addition));
this->children.back()->ParseCurrentType(regular);
};
if (n == 1) {
type = Type::Word;
}
if (type == Type::Addition) {
int balance = 0;
int begin_child = 0;
bool wrapped_brackets = (regular[0] == '(');
for (size_t i = 0; i < n; ++i) {
if (regular[i] == '(') {
++balance;
} else if (regular[i] == ')') {
--balance;
}
if (regular[i] == '|') {
if (balance == 0) {
AddChild(regular.substr(begin_child + wrapped_brackets, i -
begin_child - 2 *
wrapped_brackets));
begin_child = i + 1;
if (i + 1 < n)
wrapped_brackets = (regular[i + 1] == '(');
}
} else {
if (i + 1 == n) {
if (children.size() == 0) {
type = Type::Concatenation;
break;
} else {
AddChild(regular.substr(begin_child + wrapped_brackets, i -
begin_child + 1 - 2 *
wrapped_brackets));
begin_child = i + 1;
if (i + 1 < n)
wrapped_brackets = (regular[i + 1] == '(');
}
} else if (balance == 0) {
wrapped_brackets = false;
}
}
}
}
if (type == Type::Concatenation) {
int balance = 0;
int begin_child = 0;
for (size_t i = 0; i < n; ++i) {
if (regular[i] == '(') {
++balance;
if (balance == 1) {
if (begin_child < i) {
AddChild(regular.substr(begin_child, i - begin_child));
}
begin_child = i + 1;
}
} else if (regular[i] == ')') {
--balance;
if (balance == 0) {
AddChild(regular.substr(begin_child, i - begin_child));
begin_child = i + 1;
}
} else if (i + 1 == n) {
if (balance != 0) {
throw std::logic_error("invalid regular");
}
if (children.size() == 0) {
type = Type::Word;
break;
} else {
if (regular[i] == '+') {
if (begin_child < i) {
AddChild(regular.substr(begin_child, i - begin_child));
}
children.back()->modifier = Modifier::Plus;
begin_child = i + 1;
} else if (regular[i] == '*') {
if (begin_child < i) {
AddChild(regular.substr(begin_child, i - begin_child));
}
children.back()->modifier = Modifier::Star;
begin_child = i + 1;
} else {
AddChild(regular.substr(begin_child, i - begin_child + 1));
begin_child = i + 1;
}
}
} else if (balance == 0) {
if (regular[i] == '+') {
if (begin_child < i) {
AddChild(regular.substr(begin_child, i - begin_child));
}
children.back()->modifier = Modifier::Plus;
begin_child = i + 1;
} else if (regular[i] == '*') {
if (begin_child < i) {
AddChild(regular.substr(begin_child, i - begin_child));
}
children.back()->modifier = Modifier::Star;
begin_child = i + 1;
}
}
}
}
if (type == Type::Word) {
bool exist_modifire = regular.back() == '+' || regular.back() == '*';
if (regular.back() == '+') {
modifier = Modifier::Plus;
} else if (regular.back() == '*') {
modifier = Modifier::Star;
}
for (size_t i = 0; i < n - exist_modifire; ++i) {
if (regular[i] == '|' || regular[i] == '(' || regular[i] == ')') {
throw std::logic_error("invalid regular");
}
word += regular[i];
}
}
}
void Node::Compression() {
for (auto& i: children) {
i->Compression();
}
if (children.size() == 1 && modifier == Modifier::None) {
auto tmp = std::move(*children[0]);
*this = std::move(tmp);
}
}
void Node::Compression2() {
for (auto& i: children) {
i->Compression2();
}
bool f = type == Type::Concatenation;
for (auto& i: children) {
f &= i->modifier == Modifier::None;
f &= i->type == Type::Word;
}
if (f) {
auto tmp = std::move(*children[0]);
tmp.modifier = modifier;
for (int i = 1; i < children.size(); ++i) {
tmp.word += children[i]->word;
}
*this = std::move(tmp);
}
}
void Node::Print(int nesting_level) const {
auto PrintNesingLevel = [](int nesting_level) {
for (int i = 0; i < nesting_level; ++i) {
std::cout << " ";
}
};
PrintNesingLevel(nesting_level);
if (type == Type::Addition) {
std::cout << "Addition";
if (modifier == Modifier::Plus) {
std::cout << "+";
} else if (modifier == Modifier::Star) {
std::cout << "*";
}
std::cout << " " << std::to_string(children.size()) << ":" << std::endl;
} else if (type == Type::Concatenation) {
std::cout << "Concatenation";
if (modifier == Modifier::Plus) {
std::cout << "+";
} else if (modifier == Modifier::Star) {
std::cout << "*";
}
std::cout << " " << children.size() << ":" << std::endl;
} else if (type == Type::Word) {
std::cout << "Word";
if (modifier == Modifier::Plus) {
std::cout << "+";
} else if (modifier == Modifier::Star) {
std::cout << "*";
}
std::cout << ": " << word << std::endl;
}
for (const auto& i: children) {
i->Print(nesting_level + 1);
}
}
std::string regular::RegularTree::Node::ToString() const {
std::string res;
if (type == Type::Word) {
res = word;
if (modifier == Modifier::Plus)
res = "(" + res + ")+";
else if (modifier == Modifier::Star)
res = "(" + res + ")*";
} else if (type == Type::Concatenation) {
for (auto& i: children) {
res += i->ToString();
}
if (modifier == Modifier::Plus)
res = "(" + res + ")+";
else if (modifier == Modifier::Star)
res = "(" + res + ")*";
} else if (type == Type::Addition) {
for (auto& i: children) {
res += i->ToString();
res += "|";
}
if (res.size())
res.pop_back();
res = "(" + res + ")";
if (modifier == Modifier::Plus)
res += "+";
else if (modifier == Modifier::Star)
res += "*";
}
return res;
}

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#include <gtest/gtest.h>
#include "regular/RegularTree.hpp"
#include "converters/RegularToNFA.hpp"
#include "converters/NFAToDFA.hpp"
#include "converters/DFAToMinDFA.hpp"
#include "converters/DFAToRegular.hpp"
using namespace regular;
using namespace NFA;
using namespace DFA;
using namespace converters;
size_t GetCountVertexes(const std::string& regular) {
RegularTree r(regular);
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
return DFA_graph.GetReallyCountVertexes();
}
TEST(DFA_to_min_DFA, a_start) {
EXPECT_EQ(GetCountVertexes("a*"), GetCountVertexes("( a | )*| | | aaa a a"));
}
TEST(DFA_to_min_DFA, a_plus) {
EXPECT_EQ(GetCountVertexes("a+"), GetCountVertexes("( a | a a )+|a | a |a "));
}
TEST(DFA_to_min_DFA, a_star_or_b_star) {
EXPECT_EQ(GetCountVertexes("a*|b*"), GetCountVertexes("a|b|a*|a+|b*|b+|bbb b b b| a a aa a aa | a+"));
}
TEST(DFA_to_min_DFA, epsilon) {
EXPECT_EQ(GetCountVertexes(" "), GetCountVertexes(" | | | "));
}
TEST(DFA_to_min_DFA, a_or_b_star) {
EXPECT_EQ(GetCountVertexes("(a|b)*"), GetCountVertexes("a+|b+|a*|b*|a*b*a*|a|b(a|b)*|b| |(a|b)*"));
}

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#include <gtest/gtest.h>
#include <random>
#include "regular/RegularTree.hpp"
#include "converters/RegularToNFA.hpp"
#include "converters/NFAToDFA.hpp"
#include "converters/DFAToMinDFA.hpp"
#include "converters/DFAToRegular.hpp"
using namespace regular;
using namespace NFA;
using namespace DFA;
using namespace converters;
extern std::mt19937 rnd;
extern std::string GenerateRandomString(std::vector<char> alphabet, size_t len);
TEST(DFA_to_regular, a_star) {
RegularTree r("a*");
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string reg = DFAGraphToRegular(std::move(DFA_graph));
r = RegularTree(reg);
NFA_tree = RegularToNFAGraph(std::move(r));
DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string s = "";
for (int i = 0; i < 100; ++i) {
ASSERT_EQ(DFA_graph.Accepted(s), true);
s += "a";
}
}
TEST(DFA_to_regular, a_plus) {
std::string regulars[] = {"a+", "(a)+", "(a+)"};
for (const auto& regular: regulars) {
RegularTree r(regular);
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string reg = DFAGraphToRegular(std::move(DFA_graph));
r = RegularTree(reg);
NFA_tree = RegularToNFAGraph(std::move(r));
DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string s = "";
ASSERT_EQ(DFA_graph.Accepted(s), false);
s += "a";
for (int i = 0; i < 100; ++i) {
ASSERT_EQ(DFA_graph.Accepted(s), true);
s += "a";
}
}
}
TEST(DFA_to_regular, abc) {
std::string regulars[] = {"abc"};
for (const auto& regular: regulars) {
RegularTree r(regular);
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string reg = DFAGraphToRegular(std::move(DFA_graph));
r = RegularTree(reg);
NFA_tree = RegularToNFAGraph(std::move(r));
DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
ASSERT_EQ(DFA_graph.Accepted("abc"), true);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
if (s == "abc") continue;
ASSERT_EQ(DFA_graph.Accepted(s), false);
}
}
}
TEST(DFA_to_regular, a_or_b_or_c) {
std::string regulars[] = {};
for (const auto& regular: regulars) {
RegularTree r("a|b|c");
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string reg = DFAGraphToRegular(std::move(DFA_graph));
r = RegularTree(reg);
NFA_tree = RegularToNFAGraph(std::move(r));
DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
ASSERT_EQ(DFA_graph.Accepted("a"), true);
ASSERT_EQ(DFA_graph.Accepted("b"), true);
ASSERT_EQ(DFA_graph.Accepted("c"), true);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
if (s == "a") continue;
if (s == "b") continue;
if (s == "c") continue;
ASSERT_EQ(DFA_graph.Accepted(s), false);
}
}
}
TEST(DFA_to_regular, a_star_or_b_star_or_c_star) {
std::string regulars[] = {"a*|b*|c*", "(a*)|(b*|c*)", "(a*|b*|c*)", "((a*)|(b*)|(c*))"};
for (const auto& regular: regulars) {
RegularTree r(regular);
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string reg = DFAGraphToRegular(std::move(DFA_graph));
r = RegularTree(reg);
NFA_tree = RegularToNFAGraph(std::move(r));
DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
auto check = [](const std::string str) {
std::set<char> s(str.begin(), str.end());
if (s.size() == 0)
return true;
else {
if (s.size() == 1)
return *s.begin() != 'd';
else
return false;
}
};
ASSERT_EQ(DFA_graph.Accepted(""), true);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
ASSERT_EQ(DFA_graph.Accepted(s), check(s));
}
}
}
TEST(DFA_to_regular, _a_star_or_b_star_or_c_star_plus) {
RegularTree r("(a*|b*|c*)+");
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string reg = DFAGraphToRegular(std::move(DFA_graph));
r = RegularTree(reg);
NFA_tree = RegularToNFAGraph(std::move(r));
DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
auto check = [](const std::string str) {
std::set<char> s(str.begin(), str.end());
return s.find('d') == s.end();
};
ASSERT_EQ(DFA_graph.Accepted(""), true);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
ASSERT_EQ(DFA_graph.Accepted(s), check(s));
}
}
TEST(DFA_to_regular, _a_or_b_or_c_star_plus) {
RegularTree r("(a|b|c*)+");
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string reg = DFAGraphToRegular(std::move(DFA_graph));
r = RegularTree(reg);
NFA_tree = RegularToNFAGraph(std::move(r));
DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
auto check = [](const std::string str) {
std::set<char> s(str.begin(), str.end());
return s.find('d') == s.end();
};
ASSERT_EQ(DFA_graph.Accepted(""), true);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
ASSERT_EQ(DFA_graph.Accepted(s), check(s));
}
}

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#include <gtest/gtest.h>
#include <random>
#include "regular/RegularTree.hpp"
#include "converters/RegularToNFA.hpp"
#include "converters/NFAToDFA.hpp"
#include "converters/DFAToMinDFA.hpp"
#include "converters/DFAToRegular.hpp"
using namespace regular;
using namespace NFA;
using namespace DFA;
using namespace converters;
extern std::mt19937 rnd;
extern std::string GenerateRandomString(std::vector<char> alphabet, size_t len);
TEST(DFA_to_regular2, a_star) {
RegularTree r("a*");
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string reg = DFAGraphToRegular(std::move(DFA_graph));
reg = RegularTree(reg).ToString();
r = RegularTree(reg);
NFA_tree = RegularToNFAGraph(std::move(r));
DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string s = "";
for (int i = 0; i < 100; ++i) {
ASSERT_EQ(DFA_graph.Accepted(s), true);
s += "a";
}
}
TEST(DFA_to_regular2, a_plus) {
std::string regulars[] = {"a+", "(a)+", "(a+)"};
for (const auto& regular: regulars) {
RegularTree r(regular);
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string reg = DFAGraphToRegular(std::move(DFA_graph));
reg = RegularTree(reg).ToString();
r = RegularTree(reg);
NFA_tree = RegularToNFAGraph(std::move(r));
DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string s = "";
ASSERT_EQ(DFA_graph.Accepted(s), false);
s += "a";
for (int i = 0; i < 100; ++i) {
ASSERT_EQ(DFA_graph.Accepted(s), true);
s += "a";
}
}
}
TEST(DFA_to_regular2, abc) {
std::string regulars[] = {"abc"};
for (const auto& regular: regulars) {
RegularTree r(regular);
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string reg = DFAGraphToRegular(std::move(DFA_graph));
reg = RegularTree(reg).ToString();
r = RegularTree(reg);
NFA_tree = RegularToNFAGraph(std::move(r));
DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
ASSERT_EQ(DFA_graph.Accepted("abc"), true);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
if (s == "abc") continue;
ASSERT_EQ(DFA_graph.Accepted(s), false);
}
}
}
TEST(DFA_to_regular2, a_or_b_or_c) {
std::string regulars[] = {};
for (const auto& regular: regulars) {
RegularTree r("a|b|c");
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string reg = DFAGraphToRegular(std::move(DFA_graph));
reg = RegularTree(reg).ToString();
r = RegularTree(reg);
NFA_tree = RegularToNFAGraph(std::move(r));
DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
ASSERT_EQ(DFA_graph.Accepted("a"), true);
ASSERT_EQ(DFA_graph.Accepted("b"), true);
ASSERT_EQ(DFA_graph.Accepted("c"), true);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
if (s == "a") continue;
if (s == "b") continue;
if (s == "c") continue;
ASSERT_EQ(DFA_graph.Accepted(s), false);
}
}
}
TEST(DFA_to_regular2, a_star_or_b_star_or_c_star) {
std::string regulars[] = {"a*|b*|c*", "(a*)|(b*|c*)", "(a*|b*|c*)", "((a*)|(b*)|(c*))"};
for (const auto& regular: regulars) {
RegularTree r(regular);
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string reg = DFAGraphToRegular(std::move(DFA_graph));
reg = RegularTree(reg).ToString();
r = RegularTree(reg);
NFA_tree = RegularToNFAGraph(std::move(r));
DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
auto check = [](const std::string str) {
std::set<char> s(str.begin(), str.end());
if (s.size() == 0)
return true;
else {
if (s.size() == 1)
return *s.begin() != 'd';
else
return false;
}
};
ASSERT_EQ(DFA_graph.Accepted(""), true);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
ASSERT_EQ(DFA_graph.Accepted(s), check(s));
}
}
}
TEST(DFA_to_regular2, _a_star_or_b_star_or_c_star_plus) {
RegularTree r("(a*|b*|c*)+");
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string reg = DFAGraphToRegular(std::move(DFA_graph));
reg = RegularTree(reg).ToString();
r = RegularTree(reg);
NFA_tree = RegularToNFAGraph(std::move(r));
DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
auto check = [](const std::string str) {
std::set<char> s(str.begin(), str.end());
return s.find('d') == s.end();
};
ASSERT_EQ(DFA_graph.Accepted(""), true);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
ASSERT_EQ(DFA_graph.Accepted(s), check(s));
}
}
TEST(DFA_to_regular2, _a_or_b_or_c_star_plus) {
RegularTree r("(a|b|c*)+");
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string reg = DFAGraphToRegular(std::move(DFA_graph));
reg = RegularTree(reg).ToString();
r = RegularTree(reg);
NFA_tree = RegularToNFAGraph(std::move(r));
DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
auto check = [](const std::string str) {
std::set<char> s(str.begin(), str.end());
return s.find('d') == s.end();
};
ASSERT_EQ(DFA_graph.Accepted(""), true);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
ASSERT_EQ(DFA_graph.Accepted(s), check(s));
}
}

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#include <gtest/gtest.h>
#include <random>
#include "regular/RegularTree.hpp"
#include "converters/RegularToNFA.hpp"
#include "converters/NFAToDFA.hpp"
#include "converters/DFAToMinDFA.hpp"
#include "converters/DFAToFDFA.hpp"
#include "converters/InvertFDFA.hpp"
#include "converters/DFAToRegular.hpp"
using namespace regular;
using namespace NFA;
using namespace DFA;
using namespace converters;
extern std::mt19937 rnd;
extern std::string GenerateRandomString(std::vector<char> alphabet, size_t len);
TEST(generic_tests, divided_5) {
DFAGraph DFA_graph;
size_t a[10];
for (int i = 0; i < 10; ++i) {
a[i] = DFA_graph.AddNewVertex();
}
auto add_edge = [&DFA_graph, &a](size_t in, size_t out, char x) {
DFA_graph.GetVertex(a[in]).AddEdge(x, a[out]);
};
add_edge(5, 6, '0');
add_edge(5, 1, '1');
add_edge(1, 2, '0');
add_edge(1, 3, '1');
add_edge(2, 4, '0');
add_edge(2, 0, '1');
add_edge(3, 1, '0');
add_edge(3, 2, '1');
add_edge(4, 3, '0');
add_edge(4, 4, '1');
add_edge(0, 0, '0');
add_edge(0, 1, '1');
DFA_graph.GetVertex(a[5]).SetStart(true);
DFA_graph.GetVertex(a[6]).SetFinal(true);
DFA_graph.GetVertex(a[0]).SetFinal(true);
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
DFA_graph = NFAGraphToDFAGraph(RegularToNFAGraph(RegularTree(DFAGraphToRegular(std::move(DFA_graph)))));
auto check = [](const std::string& str) -> bool {
bool answer = true;
if (str.size() == 1) {
return str == "0";
}
if (str[0] == '0') {
return false;
}
int remainder = 0;
for (auto i: str) {
remainder = remainder * 2 + i - '0';
remainder %= 5;
}
return remainder == 0;
};
for (int i = 0; i < 2000; ++i) {
std::string test = GenerateRandomString({'0', '1'}, rnd() % 1000 + 1);
ASSERT_EQ(DFA_graph.Accepted(test), check(test));
}
}

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#include <gtest/gtest.h>
#include <random>
#include "DFA/DFAGraph.hpp"
#include "NFA/NFAGraph.hpp"
#include "converters/NFAToDFA.hpp"
using namespace NFA;
using namespace DFA;
using namespace converters;
std::mt19937 rnd(1337);
std::string GenerateRandomString(std::vector<char> alphabet, size_t len) {
std::string res(len, ' ');
for (auto& i: res) {
i = alphabet[rnd() % alphabet.size()];
}
return res;
}
TEST(check_equivalence_NFA_to_DFA, 1) {
NFA::NFAGraph tree;
const int N = 10;
int a[N];
for (int i = 0; i < N; ++i)
a[i] = tree.AddNewVertex();
tree.GetVertex(a[0]).AddEdge('a', a[1]);
tree.GetVertex(a[1]).AddEdge('a', a[2]);
tree.GetVertex(a[0]).AddEdge('a', a[3]);
tree.GetVertex(a[0]).SetStart(true);
tree.GetVertex(a[2]).SetFinal(true);
tree.GetVertex(a[3]).SetFinal(true);
DFA::DFAGraph res = converters::NFAGraphToDFAGraph(std::move(tree));
EXPECT_FALSE(res.Accepted(""));
EXPECT_TRUE(res.Accepted("a"));
EXPECT_TRUE(res.Accepted("aa"));
EXPECT_FALSE(res.Accepted("aaa"));
EXPECT_FALSE(res.Accepted("aaaa"));
EXPECT_FALSE(res.Accepted("aaaaa"));
EXPECT_FALSE(res.Accepted("b"));
}
TEST(check_equivalence_NFA_to_DFA, 2) {
NFA::NFAGraph tree;
const int N = 10;
int a[N];
for (int i = 0; i < N; ++i)
a[i] = tree.AddNewVertex();
tree.GetVertex(a[0]).AddEdge('a', a[1]);
tree.GetVertex(a[0]).AddEdge('a', a[2]);
tree.GetVertex(a[1]).AddEdge('b', a[1]);
tree.GetVertex(a[2]).AddEdge('c', a[2]);
tree.GetVertex(a[0]).SetStart(true);
tree.GetVertex(a[1]).SetFinal(true);
tree.GetVertex(a[2]).SetFinal(true);
DFA::DFAGraph res = converters::NFAGraphToDFAGraph(std::move(tree));
auto check = [](const std::string& str) {
if (str.size() > 0) {
if (str[0] == 'a') {
if (str.size() == 1) {
return true;
}
if (str[1] == 'b') {
for (int i = 1; i < str.size(); ++i) {
if (str[i] != 'b') {
return false;
}
}
return true;
}
if (str[1] == 'c') {
for (int i = 1; i < str.size(); ++i) {
if (str[i] != 'c') {
return false;
}
}
return true;
}
}
}
return false;
};
EXPECT_FALSE(res.Accepted(""));
EXPECT_TRUE(res.Accepted("a"));
EXPECT_FALSE(res.Accepted("aa"));
EXPECT_FALSE(res.Accepted("aaa"));
EXPECT_FALSE(res.Accepted("aaaa"));
EXPECT_FALSE(res.Accepted("aaaaa"));
EXPECT_FALSE(res.Accepted("b"));
EXPECT_TRUE(res.Accepted("ab"));
EXPECT_TRUE(res.Accepted("abb"));
EXPECT_TRUE(res.Accepted("ac"));
EXPECT_TRUE(res.Accepted("acc"));
for (int i = 0; i < 5000; ++i) {
auto str = GenerateRandomString({'a', 'b', 'c', 'd'}, 20);
ASSERT_EQ(res.Accepted(str), check(str));
}
}

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#include <gtest/gtest.h>
#include <random>
#include "regular/RegularTree.hpp"
#include "converters/RegularToNFA.hpp"
#include "converters/NFAToDFA.hpp"
#include "converters/DFAToMinDFA.hpp"
#include "converters/DFAToFDFA.hpp"
#include "converters/InvertFDFA.hpp"
using namespace regular;
using namespace NFA;
using namespace DFA;
using namespace converters;
extern std::mt19937 rnd;
extern std::string GenerateRandomString(std::vector<char> alphabet, size_t len);
TEST(invert_DFA, a_star) {
RegularTree r("a*");
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
DFA_graph = DFAGraphToFDFAGraph(std::move(DFA_graph), {'a', 'b', 'c', 'd'});
DFA_graph = InvertFDFAGraph(std::move(DFA_graph));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string s = "";
for (int i = 0; i < 100; ++i) {
ASSERT_EQ(DFA_graph.Accepted(s), false);
s += "a";
}
}
TEST(invert_DFA, a_plus) {
std::string regulars[] = {"a+", "(a)+", "(a+)"};
for (const auto& regular: regulars) {
RegularTree r(regular);
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
DFA_graph = DFAGraphToFDFAGraph(std::move(DFA_graph), {'a', 'b', 'c', 'd'});
DFA_graph = InvertFDFAGraph(std::move(DFA_graph));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string s = "";
ASSERT_EQ(DFA_graph.Accepted(s), true);
s += "a";
for (int i = 0; i < 100; ++i) {
ASSERT_EQ(DFA_graph.Accepted(s), false);
s += "a";
}
}
}
TEST(invert_DFA, abc) {
std::string regulars[] = {"abc"};
for (const auto& regular: regulars) {
RegularTree r(regular);
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
DFA_graph = DFAGraphToFDFAGraph(std::move(DFA_graph), {'a', 'b', 'c', 'd'});
DFA_graph = InvertFDFAGraph(std::move(DFA_graph));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
ASSERT_EQ(DFA_graph.Accepted("abc"), false);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
if (s == "abc") continue;
ASSERT_EQ(DFA_graph.Accepted(s), true);
}
}
}
TEST(invert_DFA, a_or_b_or_c) {
std::string regulars[] = {};
for (const auto& regular: regulars) {
RegularTree r("a|b|c");
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
DFA_graph = DFAGraphToFDFAGraph(std::move(DFA_graph), {'a', 'b', 'c', 'd'});
DFA_graph = InvertFDFAGraph(std::move(DFA_graph));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
ASSERT_EQ(DFA_graph.Accepted("a"), false);
ASSERT_EQ(DFA_graph.Accepted("b"), false);
ASSERT_EQ(DFA_graph.Accepted("c"), false);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
if (s == "a") continue;
if (s == "b") continue;
if (s == "c") continue;
ASSERT_EQ(DFA_graph.Accepted(s), true);
}
}
}
TEST(invert_DFA, a_star_or_b_star_or_c_star) {
std::string regulars[] = {"a*|b*|c*", "(a*)|(b*|c*)", "(a*|b*|c*)", "((a*)|(b*)|(c*))"};
for (const auto& regular: regulars) {
RegularTree r(regular);
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
DFA_graph = DFAGraphToFDFAGraph(std::move(DFA_graph), {'a', 'b', 'c', 'd'});
DFA_graph = InvertFDFAGraph(std::move(DFA_graph));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
auto check = [](const std::string str) {
std::set<char> s(str.begin(), str.end());
if (s.size() == 0)
return true;
else {
if (s.size() == 1)
return *s.begin() != 'd';
else
return false;
}
};
ASSERT_EQ(DFA_graph.Accepted(""), false);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
ASSERT_EQ(DFA_graph.Accepted(s), !check(s));
}
}
}
TEST(invert_DFA, _a_star_or_b_star_or_c_star_plus) {
RegularTree r("(a*|b*|c*)+");
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
DFA_graph = DFAGraphToFDFAGraph(std::move(DFA_graph), {'a', 'b', 'c', 'd'});
DFA_graph = InvertFDFAGraph(std::move(DFA_graph));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
auto check = [](const std::string str) {
std::set<char> s(str.begin(), str.end());
return s.find('d') == s.end();
};
ASSERT_EQ(DFA_graph.Accepted(""), false);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
ASSERT_EQ(DFA_graph.Accepted(s), !check(s));
}
}
TEST(invert_DFA, _a_or_b_or_c_star_plus) {
RegularTree r("(a|b|c*)+");
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
DFA_graph = DFAGraphToFDFAGraph(std::move(DFA_graph), {'a', 'b', 'c', 'd'});
DFA_graph = InvertFDFAGraph(std::move(DFA_graph));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
auto check = [](const std::string str) {
std::set<char> s(str.begin(), str.end());
return s.find('d') == s.end();
};
ASSERT_EQ(DFA_graph.Accepted(""), false);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
ASSERT_EQ(DFA_graph.Accepted(s), !check(s));
}
}

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#include <gtest/gtest.h>
#include "regular/RegularTree.hpp"
using namespace regular;
TEST(parse_regular, only_addition) {
RegularTree("a");
RegularTree("aa");
RegularTree("aaa");
RegularTree("aaaa");
RegularTree("aaaaa");
RegularTree("a|aaaa");
RegularTree("a|a|a|a|a");
RegularTree("hello|world");
RegularTree("qe|wr|lkj|alk");
}
TEST(parse_regular, only_folding) {
RegularTree("(kajfkasf(aksdjf)jka(((aksjdf)K)))jakd");
RegularTree("(kajsdfk(aksdjf)kajsdf)kjasdkfja(skdjf(((aksjdkadf)ksjf(kdja))))");
RegularTree("((((kdjf))))");
RegularTree("kasjf(akjsfkjasdg)kajsdg");
RegularTree("akjsdf(akjdf(kdjfak(jkasdf)))");
RegularTree("123k4j1k351kk21jkj21k6j2k36j1(((((ajkfajsdfkafdalkdjflk)))))");
}
TEST(parse_regular, only_modifiers) {
RegularTree("jlakjdf*aksdjflaf8*laksfj*lakjsf*alksjdf");
RegularTree("jlakjdf*aksdjflaf8+laksfj*lakjsf*alksjdf*");
RegularTree("jlakjdf*aksdjflaf8*laksfj*lakjsf+alksjdf");
RegularTree("jlakjd+aksdjflaf8*laksfj*lakjsf*alksjdf+");
}
TEST(parse_regular, all_operations) {
RegularTree("(alkjdfaksdf*|lkasdj*|(kasjdf|kajdf*|kjd)*|laksjf*)+");
RegularTree("(alkjdfaksdf|lkasdj*|(kas+jdf|kajdf*|kjd)*|laksjf*)+");
RegularTree("a|(a|(a|(a|)*))*");
RegularTree("kj*|kjadf*|(kajsdf|(kajsd|kjadf|(kasjdf)|kajs)*)*");
}

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#include <gtest/gtest.h>
#include <random>
#include "regular/RegularTree.hpp"
#include "converters/RegularToNFA.hpp"
#include "converters/NFAToDFA.hpp"
#include "converters/DFAToMinDFA.hpp"
using namespace regular;
using namespace NFA;
using namespace DFA;
using namespace converters;
extern std::mt19937 rnd;
extern std::string GenerateRandomString(std::vector<char> alphabet, size_t len);
TEST(regular_to_DFA, a_star) {
RegularTree r("a*");
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string s = "";
for (int i = 0; i < 100; ++i) {
ASSERT_EQ(DFA_graph.Accepted(s), true);
s += "a";
}
}
TEST(regular_to_DFA, a_plus) {
std::string regulars[] = {"a+", "(a)+", "(a+)"};
for (const auto& regular: regulars) {
RegularTree r(regular);
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
std::string s = "";
ASSERT_EQ(DFA_graph.Accepted(s), false);
s += "a";
for (int i = 0; i < 100; ++i) {
ASSERT_EQ(DFA_graph.Accepted(s), true);
s += "a";
}
}
}
TEST(regular_to_DFA, abc) {
std::string regulars[] = {"abc"};
for (const auto& regular: regulars) {
RegularTree r(regular);
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
ASSERT_EQ(DFA_graph.Accepted("abc"), true);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
if (s == "abc") continue;
ASSERT_EQ(DFA_graph.Accepted(s), false);
}
}
}
TEST(regular_to_DFA, a_or_b_or_c) {
std::string regulars[] = {};
for (const auto& regular: regulars) {
RegularTree r("a|b|c");
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
ASSERT_EQ(DFA_graph.Accepted("a"), true);
ASSERT_EQ(DFA_graph.Accepted("b"), true);
ASSERT_EQ(DFA_graph.Accepted("c"), true);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
if (s == "a") continue;
if (s == "b") continue;
if (s == "c") continue;
ASSERT_EQ(DFA_graph.Accepted(s), false);
}
}
}
TEST(regular_to_DFA, a_star_or_b_star_or_c_star) {
std::string regulars[] = {"a*|b*|c*", "(a*)|(b*|c*)", "(a*|b*|c*)", "((a*)|(b*)|(c*))"};
for (const auto& regular: regulars) {
RegularTree r(regular);
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
auto check = [](const std::string str) {
std::set<char> s(str.begin(), str.end());
if (s.size() == 0)
return true;
else {
if (s.size() == 1)
return *s.begin() != 'd';
else
return false;
}
};
ASSERT_EQ(DFA_graph.Accepted(""), true);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
ASSERT_EQ(DFA_graph.Accepted(s), check(s));
}
}
}
TEST(regular_to_DFA, _a_star_or_b_star_or_c_star_plus) {
RegularTree r("(a*|b*|c*)+");
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
auto check = [](const std::string str) {
std::set<char> s(str.begin(), str.end());
return s.find('d') == s.end();
};
ASSERT_EQ(DFA_graph.Accepted(""), true);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
ASSERT_EQ(DFA_graph.Accepted(s), check(s));
}
}
TEST(regular_to_DFA, _a_or_b_or_c_star_plus) {
RegularTree r("(a|b|c*)+");
NFAGraph NFA_tree = RegularToNFAGraph(std::move(r));
DFAGraph DFA_graph = NFAGraphToDFAGraph(std::move(NFA_tree));
DFA_graph = DFAGraphToMinDFAGraph(std::move(DFA_graph));
auto check = [](const std::string str) {
std::set<char> s(str.begin(), str.end());
return s.find('d') == s.end();
};
ASSERT_EQ(DFA_graph.Accepted(""), true);
for (int i = 0; i < 1000; ++i) {
auto s = GenerateRandomString({'a', 'b', 'c', 'd'}, rnd() % 10);
ASSERT_EQ(DFA_graph.Accepted(s), check(s));
}
}