KnuthMorrisPratt.h

/*
 * KnuthMorrisPratt.h
 *
 *  Created on: 5. 11. 2014
 *      Author: Jan Travnicek
 */

#ifndef _ARBOLOGY_KNUTH_MORRIS_PRATT_H_
#define _ARBOLOGY_KNUTH_MORRIS_PRATT_H_

#include <measure>

#include <alib/set>
#include <alib/vector>

#include <tree/properties/BorderArrayNaive.h>
#include <tree/properties/SubtreeJumpTable.h>
#include <tree/properties/ExactSubtreeRepeatsNaive.h>

#include <tree/ranked/PrefixRankedBarTree.h>
#include <tree/ranked/PrefixRankedBarPattern.h>
#include <tree/ranked/PrefixRankedBarNonlinearPattern.h>
#include <tree/ranked/PrefixRankedTree.h>
#include <tree/ranked/PrefixRankedPattern.h>
#include <tree/ranked/PrefixRankedNonlinearPattern.h>

namespace arbology {

namespace exact {

/**
 * Implementation of BMH for MI(E+\eps)-EVY course 2014
 * To get rid of zeros in BCS table we ignore last haystack character
 */
class KnuthMorrisPratt {
public:
	/**
	 * Search for pattern in linear string.
	 * @return set set of occurences
	 */
	template < class SymbolType, class RankType >
	static ext::set < unsigned > match ( const tree::PrefixRankedBarTree < SymbolType, RankType > & subject, const tree::PrefixRankedBarTree < SymbolType, RankType > & pattern );
	template < class SymbolType, class RankType >
	static ext::set < unsigned > match ( const tree::PrefixRankedBarTree < SymbolType, RankType > & subject, const tree::PrefixRankedBarPattern < SymbolType, RankType > & pattern );
	template < class SymbolType, class RankType >
	static ext::set < unsigned > match ( const tree::PrefixRankedBarTree < SymbolType, RankType > & subject, const tree::PrefixRankedBarNonlinearPattern < SymbolType, RankType > & pattern );

	template < class SymbolType, class RankType >
	static ext::set < unsigned > match ( const tree::PrefixRankedTree < SymbolType, RankType > & subject, const tree::PrefixRankedTree < SymbolType, RankType > & pattern );
	template < class SymbolType, class RankType >
	static ext::set < unsigned > match ( const tree::PrefixRankedTree < SymbolType, RankType > & subject, const tree::PrefixRankedPattern < SymbolType, RankType > & pattern );
	template < class SymbolType, class RankType >
	static ext::set < unsigned > match ( const tree::PrefixRankedTree < SymbolType, RankType > & subject, const tree::PrefixRankedNonlinearPattern < SymbolType, RankType > & pattern );

};

template < class SymbolType, class RankType >
ext::set < unsigned > KnuthMorrisPratt::match ( const tree::PrefixRankedBarTree < SymbolType, RankType > & subject, const tree::PrefixRankedBarTree < SymbolType, RankType > & pattern ) {
	return match ( subject, tree::PrefixRankedBarPattern < SymbolType, RankType > ( pattern ) );
}

template < class SymbolType, class RankType >
ext::set < unsigned > KnuthMorrisPratt::match ( const tree::PrefixRankedBarTree < SymbolType, RankType > & subject, const tree::PrefixRankedBarPattern < SymbolType, RankType > & pattern ) {
	ext::set < unsigned > occ;
	ext::vector < size_t > ba = tree::properties::BorderArrayNaive::ba ( pattern );

	//measurements::start("Algorithm", measurements::Type::MAIN);

	ext::vector < int > subjectSubtreeJumpTable = tree::properties::SubtreeJumpTable::compute ( subject );

	 // index to the subject
	unsigned i = 0;

	 // main loop of the algorithm over all possible indexes where the pattern can start
	while ( i + pattern.getContent ( ).size ( ) <= subject.getContent ( ).size ( ) ) {

		 // index to the pattern
		unsigned j = 0;

		 // offset to the subject
		unsigned offset = i;

		while ( ( j < pattern.getContent ( ).size ( ) ) && ( offset < subject.getContent ( ).size ( ) ) ) {
			if ( subject.getContent ( )[offset] == pattern.getContent ( )[j] ) {
				 // match of symbol
				offset++;
				j++;
			} else if ( ( pattern.getContent ( )[j] == pattern.getSubtreeWildcard ( ) ) /* && ( ! pattern.getBars ( ).count ( subject.getContent ( )[offset] ) ) */ ) {
				 // match of variable with subtree
				offset = subjectSubtreeJumpTable[offset];
				j += 2;
			} else {
				break;
			}
		}

		 // match was found
		if ( j >= pattern.getContent ( ).size ( ) ) occ.insert ( i );

		 // shift heuristics
		i += j - ba[j];
	}

	//measurements::end();

	return occ;
}

template < class SymbolType, class RankType >
ext::set < unsigned > KnuthMorrisPratt::match ( const tree::PrefixRankedBarTree < SymbolType, RankType > & subject, const tree::PrefixRankedBarNonlinearPattern < SymbolType, RankType > & pattern ) {
	ext::set < unsigned > occ;
	ext::vector < size_t > ba = tree::properties::BorderArrayNaive::ba ( pattern );
	ext::map < common::ranked_symbol < SymbolType, RankType >, unsigned > variablesSetting;

	//measurements::start("Algorithm", measurements::Type::MAIN);

	ext::vector < int > subjectSubtreeJumpTable = tree::properties::SubtreeJumpTable::compute ( subject );
	tree::PrefixRankedBarTree < unsigned, RankType > repeats = tree::properties::ExactSubtreeRepeatsNaive::repeats ( subject );

	 // index to the subject
	unsigned i = 0;

	 // main loop of the algorithm over all possible indexes where the pattern can start
	while ( i + pattern.getContent ( ).size ( ) <= subject.getContent ( ).size ( ) ) {
		 // clear the current state of variable to subtree repeat
		variablesSetting.clear();

		 // index to the pattern
		unsigned j = 0;

		 // offset to the subject
		unsigned offset = i;

		while ( ( j < pattern.getContent ( ).size ( ) ) && ( offset < subject.getContent ( ).size ( ) ) ) {
			if ( subject.getContent ( )[offset] == pattern.getContent ( )[j] ) {
				 // match of symbol
				offset++;
				j++;
			} else if ( ( pattern.getContent ( )[j] == pattern.getSubtreeWildcard ( ) || pattern.getNonlinearVariables ( ).count ( pattern.getContent ( )[j] ) ) /* && ( ! pattern.getBars ( ).count ( subject.getContent ( )[offset] ) ) */ ) {
				 // check nonlinear variable
				if ( pattern.getNonlinearVariables ( ).count ( pattern.getContent ( )[ j ] ) ) {
					auto setting = variablesSetting.find ( pattern.getContent ( )[ j ] );

					if ( setting != variablesSetting.end ( ) && repeats.getContent ( )[ offset ].getSymbol ( ) != setting->second )
						break;

					variablesSetting.insert ( std::make_pair ( pattern.getContent ( )[ j ], repeats.getContent( )[ offset ].getSymbol ( ) ) );
				}

				 // match of variable with subtree
				offset = subjectSubtreeJumpTable[offset];
				j = j + 2;
			} else {
				break;
			}
		}

		 // match was found
		if ( j >= pattern.getContent ( ).size ( ) ) occ.insert ( i );

		 // shift heuristics
		i += j - ba[j];
	}

	//measurements::end();

	return occ;
}

template < class SymbolType, class RankType >
ext::set < unsigned > KnuthMorrisPratt::match ( const tree::PrefixRankedTree < SymbolType, RankType > & subject, const tree::PrefixRankedTree < SymbolType, RankType > & pattern ) {
	return match ( subject, tree::PrefixRankedPattern < SymbolType, RankType > ( pattern ) );
}

template < class SymbolType, class RankType >
ext::set < unsigned > KnuthMorrisPratt::match ( const tree::PrefixRankedTree < SymbolType, RankType > & subject, const tree::PrefixRankedPattern < SymbolType, RankType > & pattern ) {
	ext::set < unsigned > occ;
	ext::vector < size_t > ba = tree::properties::BorderArrayNaive::ba ( pattern );

	//measurements::start("Algorithm", measurements::Type::MAIN);

	ext::vector < int > subjectSubtreeJumpTable = tree::properties::SubtreeJumpTable::compute ( subject );

	 // index to the subject
	unsigned i = 0;

	 // main loop of the algorithm over all possible indexes where the pattern can start
	while ( i + pattern.getContent ( ).size ( ) <= subject.getContent ( ).size ( ) ) {

		 // index to the pattern
		unsigned j = 0;

		 // offset to the subject
		unsigned offset = i;

		while ( ( j < pattern.getContent ( ).size ( ) ) && ( offset < subject.getContent ( ).size ( ) ) ) {
			if ( subject.getContent ( )[offset] == pattern.getContent ( )[j] ) {
				 // match of symbol
				offset++;
			} else if ( ( pattern.getContent ( )[j] == pattern.getSubtreeWildcard ( ) ) ) {
				 // match of variable with subtree
				offset = subjectSubtreeJumpTable[offset];
			} else {
				break;
			}
			j = j + 1;
		}

		 // match was found
		if ( j >= pattern.getContent ( ).size ( ) ) occ.insert ( i );

		 // shift heristics
		i += j - ba[j];
	}

	//measurements::end();

	return occ;
}

template < class SymbolType, class RankType >
ext::set < unsigned > KnuthMorrisPratt::match ( const tree::PrefixRankedTree < SymbolType, RankType > & subject, const tree::PrefixRankedNonlinearPattern < SymbolType, RankType > & pattern ) {
	ext::set < unsigned > occ;
	ext::vector < size_t > ba = tree::properties::BorderArrayNaive::ba ( pattern );
	ext::map < common::ranked_symbol < SymbolType, RankType >, unsigned > variablesSetting;

	//measurements::start("Algorithm", measurements::Type::MAIN);

	ext::vector < int > subjectSubtreeJumpTable = tree::properties::SubtreeJumpTable::compute ( subject );
	tree::PrefixRankedTree < unsigned, RankType > repeats = tree::properties::ExactSubtreeRepeatsNaive::repeats ( subject );

	 // index to the subject
	unsigned i = 0;

	 // main loop of the algorithm over all possible indexes where the pattern can start
	while ( i + pattern.getContent ( ).size ( ) <= subject.getContent ( ).size ( ) ) {
		 // clear the current state of variable to subtree repeat
		variablesSetting.clear();

		 // index to the pattern
		unsigned j = 0;

		 // offset to the subject
		unsigned offset = i;

		while ( ( j < pattern.getContent ( ).size ( ) ) && ( offset < subject.getContent ( ).size ( ) ) ) {
			if ( subject.getContent ( )[offset] == pattern.getContent ( )[j] ) {
				 // match of symbol
				offset++;
			} else if ( pattern.getContent ( )[j] == pattern.getSubtreeWildcard ( ) || pattern.getNonlinearVariables ( ).count ( pattern.getContent ( )[ j ] ) ) {
				 // check nonlinear variable
				if ( pattern.getNonlinearVariables ( ).count ( pattern.getContent ( )[ j ] ) ) {
					auto setting = variablesSetting.find ( pattern.getContent ( )[ j ] );

					if ( setting != variablesSetting.end ( ) && repeats.getContent ( )[ offset ].getSymbol ( ) != setting->second )
						break;

					variablesSetting.insert ( std::make_pair ( pattern.getContent ( )[ j ], repeats.getContent( )[ offset ].getSymbol ( ) ) );
				}

				 // match of variable with subtree
				offset = subjectSubtreeJumpTable[offset];
			} else {
				break;
			}
			j = j + 1;
		}

		 // match was found
		if ( j >= pattern.getContent ( ).size ( ) ) occ.insert ( i );

		 // shift heristics
		i += j - ba[j];
	}

	//measurements::end();

	return occ;
}

} /* namespace exact */

} /* namespace arbology */

#endif /* _ARBOLOGY_KNUTH_MORRIS_PRATT_H_ */