tmp
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IlyaShurupov
Ilya Shurupov
parent
56d63f2f18
commit
fb8202f385
5 changed files with 388 additions and 386 deletions
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@ -2,8 +2,7 @@
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#pragma once
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#include "Strings.hpp"
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#include "List.hpp"
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#include "Map.hpp"
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#include "Automata.hpp"
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#include "Buffer2D.hpp"
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namespace tp {
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@ -11,389 +10,6 @@ namespace tp {
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template <typename tAlphabetType, typename tStateType, tStateType tNoStateVal, tStateType tFailedStateVal>
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class TransitionMatrix;
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template <typename tAlphabetType, typename tStateType, tStateType tNoStateVal, tStateType tFailedStateVal>
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class DFA;
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// Non-Deterministic Finite-State Automata
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template <typename tAlphabetType, typename tStateType, tStateType tNoStateVal, tStateType tFailedStateVal>
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class NFA {
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static_assert(TypeTraits<tAlphabetType>::isIntegral, "tAlphabetType must be enumerable.");
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public:
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struct Vertex;
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private:
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struct Edge {
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Vertex* mVertex = nullptr;
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bool mConsumesSymbol = false;
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Range<tAlphabetType> mAcceptingRange;
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bool mAcceptsAll = false;
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bool mExclude = false;
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bool isTransition(const tAlphabetType& symbol) {
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if (symbol == 0) return false;
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if (!mConsumesSymbol || mAcceptsAll) return true;
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bool const in_range = (symbol >= mAcceptingRange.mBegin && symbol <= mAcceptingRange.mEnd);
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return in_range != mExclude;
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}
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};
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public:
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struct Vertex {
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List<Edge> edges;
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tStateType termination_state = tNoStateVal;
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#ifdef ENV_BUILD_DEBUG
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ualni debug_idx = 0;
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#endif
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ualni flag = 0;
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};
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private:
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friend DFA<tAlphabetType, tStateType, tNoStateVal, tFailedStateVal>;
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List<Vertex> mVertices;
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Vertex* mStart = nullptr;
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public:
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NFA() = default;
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Vertex* addVertex() {
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auto node = mVertices.newNode();
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#ifdef ENV_BUILD_DEBUG
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node->data.debug_idx = mVertices.length() + 1;
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#endif
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mVertices.pushBack(node);
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return &node->data;
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}
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void
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addTransition(Vertex* from, Vertex* to, Range<tAlphabetType> range, bool consumes, bool accepts_all, bool exclude) {
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Edge edge;
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edge.mVertex = to;
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edge.mConsumesSymbol = consumes;
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edge.mAcceptingRange = range;
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edge.mExclude = exclude;
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edge.mAcceptsAll = accepts_all;
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from->edges.pushBack(edge);
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}
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void setStartVertex(Vertex* start) { mStart = start; }
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[[nodiscard]] Vertex* getStartVertex() const { return mStart; }
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void setVertexState(Vertex* vertex, tStateType state) { vertex->termination_state = state; }
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[[nodiscard]] bool isValid() const {
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if (!mStart) {
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return false;
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}
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return true;
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}
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Range<tAlphabetType> getAlphabetRange() const {
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tAlphabetType start = 0, end = 0;
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Range<tAlphabetType> all_range(
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std::numeric_limits<tAlphabetType>::min(), std::numeric_limits<tAlphabetType>::max()
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);
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bool first = true;
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for (auto vertex : mVertices) {
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for (auto edge : vertex.data().edges) {
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if (!edge.data().mConsumesSymbol) continue;
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auto const& tran_range = edge.data().mAcceptingRange;
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if (edge.data().mAcceptsAll || edge.data().mExclude) return all_range;
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if (tran_range.mBegin < start || first) start = tran_range.mBegin;
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if (tran_range.mEnd > end || first) end = tran_range.mEnd;
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first = false;
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}
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}
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return Range<tAlphabetType>(start, end + 1);
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}
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// vertices that are reachable from initial set with no input consumption (E-transitions)
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// does not include initial set
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void closure(const List<Vertex*>& set, List<Vertex*>& closure, ualni unique_call_id) {
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List<Vertex*> marked;
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marked = set;
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while (marked.length()) {
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auto first = marked.first()->data;
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if (first->flag != unique_call_id) {
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first->flag = unique_call_id;
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closure.pushBack(first);
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}
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for (auto edge : first->edges) {
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if (!edge.data().mConsumesSymbol && edge.data().mVertex->flag != unique_call_id) {
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marked.pushBack(edge.data().mVertex);
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}
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}
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marked.popFront();
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}
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}
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// vertices that are reachable from initial set with symbol transition
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void move(const List<Vertex*>& set, List<Vertex*>& reachable, tAlphabetType symbol, ualni unique_call_id) {
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for (auto vertex : set) {
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for (auto edge : vertex->edges) {
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if (!edge.data().mConsumesSymbol) continue;
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bool transition = edge.data().isTransition(symbol);
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if (transition && edge.data().mVertex->flag != unique_call_id) {
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edge.data().mVertex->flag = unique_call_id;
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reachable.pushBack(edge.data().mVertex);
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}
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}
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}
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}
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};
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// Deterministic Finite-State Automata
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template <typename tAlphabetType, typename tStateType, tStateType tNoStateVal, tStateType tFailedStateVal>
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class DFA {
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static_assert(TypeTraits<tAlphabetType>::isIntegral, "tAlphabetType must be enumerable.");
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friend TransitionMatrix<tAlphabetType, tStateType, tNoStateVal, tFailedStateVal>;
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struct Vertex {
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struct Edge {
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Vertex* vertex = nullptr;
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tAlphabetType transition_code = nullptr;
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};
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List<Edge> edges;
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tStateType termination_state = tNoStateVal;
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bool marked = false;
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};
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List<Vertex> mVertices;
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Vertex* mStart = nullptr;
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const Vertex* mIter = nullptr;
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Range<tAlphabetType> mAlphabetRange;
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bool mTrapState = false;
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typedef typename NFA<tAlphabetType, tStateType, tNoStateVal, tFailedStateVal>::Vertex NState;
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public:
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explicit DFA(NFA<tAlphabetType, tStateType, tNoStateVal, tFailedStateVal>& nfa) {
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if (!nfa.isValid()) {
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return;
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}
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mAlphabetRange = nfa.getAlphabetRange();
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struct DStateKey {
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const List<NState*>* nStates;
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bool operator==(const DStateKey& in) const {
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if (nStates->length() != in.nStates->length()) {
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return false;
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}
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// FIXME : make linear time
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for (auto state : *nStates) {
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bool found = false;
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for (auto in_state : *in.nStates) {
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if (state.data() == in_state.data()) {
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found = true;
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break;
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}
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}
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if (!found) {
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return false;
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}
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}
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return true;
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}
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static ualni dStateHashFunc(DStateKey key) {
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alni out = 0;
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for (auto state : *key.nStates) {
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out += alni(state.data());
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}
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return out;
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};
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};
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// all NFA states that are reachable from initial DFA State for specific symbol in alphabet
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struct DState {
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struct DTransition {
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DState* state = nullptr;
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tAlphabetType accepting_code;
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};
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List<NState*> nStates;
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List<DTransition> transitions;
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Vertex* dVertex = nullptr; // relevant DFA vertex
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#ifdef ENV_BUILD_DEBUG
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ualni debug_idx = 0;
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#endif
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};
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// includes closure of NFA start state by definition
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auto start_state = new DState();
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nfa.closure({ nfa.getStartVertex() }, start_state->nStates, ualni(start_state));
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Map<DStateKey, DState*, DefaultAllocator, DStateKey::dStateHashFunc, 256> dStates;
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dStates.put({ &start_state->nStates }, start_state);
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List<DState*> working_set = { start_state };
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// while there is items to work with
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auto currentDState = working_set.first();
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while (currentDState) {
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// check all possible transitions for any symbol
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for (auto symbol : mAlphabetRange) {
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List<NState*> reachableNStates;
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nfa.move(currentDState->data->nStates, reachableNStates, symbol, ualni(currentDState + symbol));
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nfa.closure(reachableNStates, reachableNStates, ualni(currentDState + symbol));
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if (!reachableNStates.length()) {
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continue;
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}
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DState* targetDState = nullptr;
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// check if set of all reachable NFA states already forms existing DFA state
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auto idx = dStates.presents({ &reachableNStates });
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if (idx) {
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targetDState = dStates.getSlotVal(idx);
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}
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if (!targetDState) {
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// register new DFA state
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targetDState = new DState();
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#ifdef ENV_BUILD_DEBUG
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targetDState->debug_idx = dStates.size();
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#endif
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targetDState->nStates = reachableNStates;
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// append to working stack
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working_set.pushBack(targetDState);
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dStates.put({ &targetDState->nStates }, targetDState);
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}
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// add transition to DFA state
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currentDState->data->transitions.pushBack({ targetDState, symbol });
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}
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working_set.popFront();
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currentDState = working_set.first();
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}
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// create own vertices
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for (auto node : dStates) {
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tStateType state = tNoStateVal;
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for (auto iter : node->val->nStates) {
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if (iter->termination_state != tNoStateVal) {
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state = iter->termination_state;
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break;
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}
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}
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node->val->dVertex = addVertex(state);
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}
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// connect all vertices
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for (auto node : dStates) {
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for (auto edge : node->val->transitions) {
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addTransition(node->val->dVertex, edge.data().state->dVertex, edge.data().accepting_code);
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}
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}
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// set the starting vertex
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mStart = start_state->dVertex;
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// cleanup
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for (auto node : dStates) {
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delete node->val;
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}
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collapseEquivalentVertices();
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mAlphabetRange = getAlphabetRange();
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}
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tStateType move(tAlphabetType symbol) {
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if (mTrapState || !mIter) {
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return tNoStateVal;
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}
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for (auto edge : mIter->edges) {
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if (edge.data().transition_code == symbol) {
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mIter = edge.data().vertex;
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return mIter->termination_state;
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}
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}
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mTrapState = true;
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return tNoStateVal;
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}
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void start() {
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mIter = mStart;
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mTrapState = false;
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}
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[[nodiscard]] uhalni nVertices() const { return (uhalni) mVertices.length(); }
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[[nodiscard]] Range<tAlphabetType> getRange() const { return mAlphabetRange; }
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private:
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[[nodiscard]] Range<tAlphabetType> getAlphabetRange() const {
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Range<tAlphabetType> out;
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for (auto vertex : mVertices) {
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vertex.data().marked = false;
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}
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bool first = true;
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getAlphabetRangeUtil(mStart, &out, first);
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out.mEnd++;
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return out;
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}
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void getAlphabetRangeUtil(Vertex* vert, Range<tAlphabetType>* out, bool& first) const {
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vert->marked = true;
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for (auto edge : vert->edges) {
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auto const code = edge.data().transition_code;
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if (first) {
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*out = { code, code };
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first = false;
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}
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if (code < out->mBegin) {
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out->mBegin = code;
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}
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if (code > out->mEnd) {
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out->mEnd = code;
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}
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if (!edge.data().vertex->marked) {
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getAlphabetRangeUtil(edge.data().vertex, out, first);
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}
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}
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}
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void collapseEquivalentVertices() {
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// TODO
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}
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Vertex* addVertex(tStateType state) {
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auto node = mVertices.addNodeBack();
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node->data.termination_state = state;
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return &node->data;
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}
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void addTransition(Vertex* from, Vertex* to, tAlphabetType transition_symbol) {
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from->edges.pushBack({ to, transition_symbol });
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}
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};
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template <typename tAlphabetType, typename tStateType, tStateType tNoStateVal, tStateType tFailedStateVal>
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class TransitionMatrix {
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