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<?php |
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namespace Remorhaz\UniLex\RegExp\FSM; |
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use Remorhaz\UniLex\AST\Tree; |
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use Remorhaz\UniLex\Exception as UniLexException; |
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use Remorhaz\UniLex\IO\CharBufferInterface; |
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use function array_merge; |
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use function array_unique; |
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use function sort; |
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class DfaBuilder |
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{ |
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private $dfa; |
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private $nfa; |
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private $nfaCalc; |
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private $stateBuffer = []; |
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public function __construct(Dfa $dfa, Nfa $nfa) |
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{ |
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$this->dfa = $dfa; |
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$this->nfa = $nfa; |
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} |
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/** |
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* @param Nfa $nfa |
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* @return Dfa |
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* @throws UniLexException |
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*/ |
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public static function fromNfa(Nfa $nfa): Dfa |
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{ |
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// Minimization is made using Brzozowski's algorithm |
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$reverser = new NfaReverser(); |
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$r1 = $reverser->reverseNfa($nfa); |
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$r1->joinStartStates(); |
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$d1 = new Dfa(); |
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(new self($d1, $r1))->run(); |
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$r2 = $reverser->reverseDfa($d1); |
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$r2->joinStartStates(); |
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$d2 = new Dfa(); |
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(new self($d2, $r2))->run(); |
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// restoring correct NFA state map that was lost on building $d2 |
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$dfa = new Dfa(); |
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$dfa->setSymbolTable($d2->getSymbolTable()); |
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$stateMap = []; |
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foreach ($d2->getStateMap()->getStateList() as $d2StateId) { |
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$d2StateValue = $d2->getStateMap()->getStateValue($d2StateId); |
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foreach ($d2StateValue as $r2StateId) { |
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$r2StateValue = $r2->getStateMap()->getStateValue($r2StateId); |
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$stateMap[$d2StateId] = array_merge($stateMap[$d2StateId] ?? [], $r2StateValue); |
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} |
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} |
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foreach ($stateMap as $stateId => $stateValue) { |
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sort($stateValue); |
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$dfa->getStateMap()->importState(array_unique($stateValue), $stateId); |
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} |
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$dfa->getStateMap()->addStartState(...$d2->getStateMap()->getStartStateList()); |
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$dfa->getStateMap()->addFinishState(...$d2->getStateMap()->getFinishStateList()); |
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foreach ($d2->getTransitionMap()->getTransitionList() as $sourceStateId => $targetStates) { |
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foreach ($targetStates as $targetStateId => $value) { |
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$dfa->getTransitionMap()->addTransition($sourceStateId, $targetStateId, $value); |
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} |
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} |
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return $dfa; |
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} |
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/** |
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* @param CharBufferInterface $buffer |
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* @return Dfa |
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* @throws UniLexException |
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*/ |
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public static function fromBuffer(CharBufferInterface $buffer): Dfa |
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{ |
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$nfa = NfaBuilder::fromBuffer($buffer); |
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return self::fromNfa($nfa); |
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} |
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/** |
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* @param Tree $tree |
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* @return Dfa |
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* @throws UniLexException |
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*/ |
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public static function fromTree(Tree $tree): Dfa |
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{ |
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$nfa = NfaBuilder::fromTree($tree); |
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return self::fromNfa($nfa); |
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} |
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/** |
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* @throws UniLexException |
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*/ |
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public function run(): void |
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{ |
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$this->initStateBuffer(); |
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while ($state = $this->getNextState()) { |
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[$dfaStateIn, $nfaStateInList] = $state; |
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foreach ($this->getMovesBySymbol(...$nfaStateInList) as $symbolId => $nfaStateOutList) { |
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$dfaStateOut = $this->createStateIfNotExists($isStateProcessed, ...$nfaStateOutList); |
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$this->mergeTransition($dfaStateIn, $dfaStateOut, $symbolId); |
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if (!$isStateProcessed) { |
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$this->addNextState($dfaStateOut, ...$nfaStateOutList); |
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} |
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} |
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} |
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} |
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private function getMovesBySymbol(int ...$nfaStateList): array |
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{ |
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$result = []; |
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foreach ($this->dfa->getSymbolTable()->getSymbolList() as $symbolId) { |
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$symbolMoves = $this->getNfaCalc()->getSymbolMoves($symbolId, ...$nfaStateList); |
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$nextStateList = $this->getNfaCalc()->getEpsilonClosure(...$symbolMoves); |
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if (!empty($nextStateList)) { |
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$result[$symbolId] = $nextStateList; |
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} |
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} |
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return $result; |
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} |
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/** |
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* @param bool $exists |
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* @param int ...$nfaStateList |
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* @return int |
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* @throws UniLexException |
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*/ |
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private function createStateIfNotExists(&$exists, int ...$nfaStateList): int |
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{ |
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$dfaStateMap = $this->dfa->getStateMap(); |
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$exists = $dfaStateMap->stateValueExists($nfaStateList); |
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if ($exists) { |
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return $dfaStateMap->getValueState($nfaStateList); |
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} |
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$dfaState = $dfaStateMap->createState($nfaStateList); |
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foreach ($nfaStateList as $nfaState) { |
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if ($this->nfa->getStateMap()->isFinishState($nfaState)) { |
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$dfaStateMap->addFinishState($dfaState); |
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break; |
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} |
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} |
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return $dfaState; |
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} |
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/** |
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* @param int $stateIn |
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* @param int $stateOut |
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* @param int $symbolId |
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* @throws UniLexException |
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*/ |
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private function mergeTransition(int $stateIn, int $stateOut, int $symbolId): void |
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{ |
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$transitionMap = $this |
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->dfa |
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->getTransitionMap(); |
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$symbolList = $transitionMap->transitionExists($stateIn, $stateOut) |
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? $transitionMap->getTransition($stateIn, $stateOut) |
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: []; |
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$symbolList[] = $symbolId; |
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$transitionMap->replaceTransition($stateIn, $stateOut, $symbolList); |
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} |
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private function getNfaCalc(): NfaCalc |
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{ |
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if (!isset($this->nfaCalc)) { |
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$this->nfaCalc = new NfaCalc($this->nfa); |
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} |
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return $this->nfaCalc; |
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} |
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/** |
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* @throws UniLexException |
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*/ |
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private function initStateBuffer(): void |
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{ |
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$this->dfa->setSymbolTable($this->nfa->getSymbolTable()); |
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$startStateId = $this->nfa->getStateMap()->getStartState(); |
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$nfaStateList = $this->getNfaCalc()->getEpsilonClosure($startStateId); |
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$startState = $this->dfa->getStateMap()->createState($nfaStateList); |
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$this->dfa->getStateMap()->addStartState($startState); |
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$this->stateBuffer = [[$startState, $nfaStateList]]; |
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} |
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private function getNextState(): ?array |
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{ |
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return array_pop($this->stateBuffer); |
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} |
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private function addNextState(int $dfaState, int ...$nfaStateList): void |
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{ |
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$this->stateBuffer[] = [$dfaState, $nfaStateList]; |
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} |
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} |
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