diff --git a/aarbology2/src/aarbology.cpp b/aarbology2/src/aarbology.cpp index 10c6274c940c5cbddfe4b9b5338c5371790cccf8..6a7fef4fca30be83c2b99e7f38091d75be407aa1 100644 --- a/aarbology2/src/aarbology.cpp +++ b/aarbology2/src/aarbology.cpp @@ -18,6 +18,7 @@ #include <arbology/exact/ExactSubtreeMatch.h> #include <arbology/exact/ExactPatternMatch.h> #include <arbology/exact/BoyerMooreHorspool.h> +#include <arbology/exact/ReversedBoyerMooreHorspool.h> #include <arbology/exact/KnuthMorrisPratt.h> #include <arbology/exact/ExactSubtreeMatchingAutomaton.h> #include <arbology/exact/ExactPatternMatchingAutomaton.h> @@ -34,6 +35,7 @@ int main ( int argc, char * argv[] ) { allowed.push_back ( "exactSubtreeMatch" ); allowed.push_back ( "exactPatternMatch" ); allowed.push_back ( "boyerMooreHorspool" ); + allowed.push_back ( "reversedBoyerMooreHorspool" ); allowed.push_back ( "knuthMorrisPratt" ); allowed.push_back ( "exactSubtreeMatchingAutomaton" ); allowed.push_back ( "exactPatternMatchingAutomaton" ); @@ -161,6 +163,21 @@ int main ( int argc, char * argv[] ) { std::chrono::measurements::end ( ); std::chrono::measurements::start ( "Output write", std::chrono::measurements::Type::AUXILARY ); + alib::XmlDataFactory::toStdout ( res ); + } else if ( algorithm.getValue ( ) == "reversedBoyerMooreHorspool" ) { + tree::Tree subject = alib::XmlDataFactory::fromTokens < tree::Tree > ( subjectTokens.front ( ) ); + tree::Tree pattern = alib::XmlDataFactory::fromTokens < tree::Tree > ( patternTokens.front ( ) ); + + std::chrono::measurements::end ( ); + std::chrono::measurements::start ( "Algorithm", std::chrono::measurements::Type::MAIN ); + + std::set < unsigned > res = arbology::exact::ReversedBoyerMooreHorspool::match ( subject, pattern ); + if( ends.isSet ( ) ) + res = arbology::transform::BeginToEndIndex::transform(subject, res); + + std::chrono::measurements::end ( ); + std::chrono::measurements::start ( "Output write", std::chrono::measurements::Type::AUXILARY ); + alib::XmlDataFactory::toStdout ( res ); } else if ( algorithm.getValue ( ) == "knuthMorrisPratt" ) { tree::Tree subject = alib::XmlDataFactory::fromTokens < tree::Tree > ( subjectTokens.front ( ) ); diff --git a/alib2algo/src/arbology/exact/ReversedBadCharacterShiftTable.cpp b/alib2algo/src/arbology/exact/ReversedBadCharacterShiftTable.cpp new file mode 100644 index 0000000000000000000000000000000000000000..4ce91df34a727bb605aad019f70d4f7c7aaba6ab --- /dev/null +++ b/alib2algo/src/arbology/exact/ReversedBadCharacterShiftTable.cpp @@ -0,0 +1,77 @@ +/* + * ReversedBadCharacterShiftTable.cpp + * + * Created on: 5. 11. 2014 + * Author: Jan Travnicek + */ + +#include "ReversedBadCharacterShiftTable.h" + +#include <exception/AlibException.h> +#include <tree/ranked/PrefixRankedBarPattern.h> + +namespace arbology { + +namespace exact { + +std::map < alphabet::RankedSymbol, size_t > ReversedBadCharacterShiftTable::bcs ( const tree::RankedTreeWrapper & pattern ) { + return getInstance ( ).dispatch ( pattern.getData ( ) ); +} + +std::map < alphabet::RankedSymbol, size_t > ReversedBadCharacterShiftTable::bcs ( const tree::PrefixRankedBarPattern & pattern ) { + const std::set < alphabet::RankedSymbol > & alphabet = pattern.getAlphabet ( ); + + std::map < alphabet::RankedSymbol, size_t > bcs; + + // initialisation of bcs table to the size of the pattern + for ( const alphabet::RankedSymbol & symbol : alphabet ) { + if ( ( symbol == pattern.getSubtreeWildcard ( ) ) || ( symbol.getSymbol ( ) == pattern.getVariablesBarSymbol ( ) ) ) continue; + + bcs.insert ( std::make_pair ( symbol, pattern.getContent ( ).size ( ) ) ); + } + + // find the distance between the beginning of the pattern and the index + // of the first symbol representing the variable's bar + int firstSBarOffset = pattern.getContent ( ).size ( ) + 1; + for (int i = (int) pattern.getContent ( ).size ( ) - 1; i >= 0; i--) { + if ( pattern.getContent ( )[i].getSymbol() == pattern.getVariablesBarSymbol ( ) ) + firstSBarOffset = i; + } + + // limit the shift by occurrence of the last variable + for ( const alphabet::RankedSymbol & symbol : alphabet ) { + if ( ( symbol == pattern.getSubtreeWildcard ( ) ) || ( symbol.getSymbol ( ) == pattern.getVariablesBarSymbol ( ) ) ) continue; + + size_t tmp = firstSBarOffset; + + if ( symbol.getSymbol ( ) == pattern.getBarSymbol ( ) ) + // size of the smallest subtree containing given terminal depend + // on the arity of the terminal + tmp += symbol.getRank ( ).getData ( ) * 2; + else if ( tmp >= 2 ) + // bar symbols match the variable bar which is one symbol after + // the last variable, conditioned because of the case S S| where + // the -1 would cause shift by 0 -- illegal + tmp -= 1; + + if ( bcs[symbol] > tmp ) + bcs[symbol] = tmp; + } + + // limit the shift by position of symbols within the pattern + for ( unsigned i = pattern.getContent ( ).size ( ) - 1; i >= 1 ; i-- ) // first symbol is not concerned + if ( ( pattern.getContent ( )[i] != pattern.getSubtreeWildcard ( ) ) && ( pattern.getContent ( )[i].getSymbol ( ) != pattern.getVariablesBarSymbol ( ) ) ) { + size_t tmp = i; + + if ( bcs[pattern.getContent ( )[i]] > tmp ) + bcs[pattern.getContent ( )[i]] = tmp; + } + + return bcs; +} + +auto ReversedBadCharacterShiftTablePrefixRankedBarPattern = ReversedBadCharacterShiftTable::RegistratorWrapper < std::map < alphabet::RankedSymbol, size_t >, tree::PrefixRankedBarPattern > ( ReversedBadCharacterShiftTable::getInstance ( ), ReversedBadCharacterShiftTable::bcs ); + +} /* namespace exact */ + +} /* namespace arbology */ diff --git a/alib2algo/src/arbology/exact/ReversedBadCharacterShiftTable.h b/alib2algo/src/arbology/exact/ReversedBadCharacterShiftTable.h new file mode 100644 index 0000000000000000000000000000000000000000..8777d9e4c42cb00a4b1ec3b0bd5bec58bdef69dc --- /dev/null +++ b/alib2algo/src/arbology/exact/ReversedBadCharacterShiftTable.h @@ -0,0 +1,49 @@ +/* + * ReversedBadCharacterShiftTable.h + * + * Created on: 5. 11. 2014 + * Author: Jan Travnicek + */ + +#ifndef _ARBOLOGY_REVERSED_BAD_CHARACTER_SHIFT_TABLE_H_ +#define _ARBOLOGY_REVERSED_BAD_CHARACTER_SHIFT_TABLE_H_ + +#include <tree/RankedTreeWrapper.h> +#include <tree/TreeFeatures.h> +#include <common/multipleDispatch.hpp> +#include <alphabet/RankedSymbol.h> + +#include <set> +#include <map> + +namespace arbology { + +namespace exact { + +/** + * Computation of BCS table for BMH from MI(E+\eps)-EVY course 2014 + * To get rid of zeros in BCS table we ignore last haystack character + */ +class ReversedBadCharacterShiftTable : public std::SingleDispatch < std::map < alphabet::RankedSymbol, size_t >, tree::RankedTreeBase > { +public: + /** + * Search for pattern in linear string. + * @return set set of occurences + */ + static std::map < alphabet::RankedSymbol, size_t > bcs ( const tree::RankedTreeWrapper & pattern ); + + static std::map < alphabet::RankedSymbol, size_t > bcs ( const tree::PrefixRankedBarPattern & pattern ); + + static ReversedBadCharacterShiftTable & getInstance ( ) { + static ReversedBadCharacterShiftTable res; + + return res; + } + +}; + +} /* namespace exact */ + +} /* namespace arbology */ + +#endif /* _ARBOLOGY_REVERSED_BAD_CHARACTER_SHIFT_TABLE_H_ */ diff --git a/alib2algo/src/arbology/exact/ReversedBoyerMooreHorspool.cpp b/alib2algo/src/arbology/exact/ReversedBoyerMooreHorspool.cpp new file mode 100644 index 0000000000000000000000000000000000000000..9e352c8ad75ee0a4dd2e346677a92e37ef83946c --- /dev/null +++ b/alib2algo/src/arbology/exact/ReversedBoyerMooreHorspool.cpp @@ -0,0 +1,79 @@ +/* + * ReversedBoyerMooreHorspool.cpp + * + * Created on: 5. 11. 2014 + * Author: Jan Travnicek + */ + +#include "ReversedBoyerMooreHorspool.h" +#include "ReversedBadCharacterShiftTable.h" +#include "SubtreeJumpTable.h" + +#include <exception/AlibException.h> +#include <tree/Tree.h> +#include <tree/ranked/PrefixRankedBarTree.h> +#include <tree/ranked/PrefixRankedBarPattern.h> +#include <alphabet/RankedSymbol.h> + +#include <map> + +namespace arbology { + +namespace exact { + +std::set < unsigned > ReversedBoyerMooreHorspool::match ( const tree::Tree & subject, const tree::Tree & pattern ) { + return getInstance ( ).dispatch ( subject.getData ( ), pattern.getData ( ) ); +} + +std::set < unsigned > ReversedBoyerMooreHorspool::match ( const tree::PrefixRankedBarTree & subject, const tree::PrefixRankedBarTree & pattern ) { + return match ( subject, tree::PrefixRankedBarPattern ( pattern ) ); +} + +auto ReversedBoyerMooreHorspoolPrefixRankedBarTreePrefixRankedBarTree = ReversedBoyerMooreHorspool::RegistratorWrapper < std::set < unsigned >, tree::PrefixRankedBarTree, tree::PrefixRankedBarTree > ( ReversedBoyerMooreHorspool::getInstance ( ), ReversedBoyerMooreHorspool::match ); + +std::set < unsigned > ReversedBoyerMooreHorspool::match ( const tree::PrefixRankedBarTree & subject, const tree::PrefixRankedBarPattern & pattern ) { + std::set < unsigned > occ; + std::map < alphabet::RankedSymbol, size_t > bcs = ReversedBadCharacterShiftTable::bcs ( pattern ); //NOTE: the subjects alphabet must be a subset or equal to the pattern + std::vector < int > subjectSubtreeJumpTable = SubtreeJumpTable::compute ( subject ); + + // index to the subject + int i = (int) subject.getContent().size() - pattern.getContent().size() + 1; + + // main loop of the algorithm over all possible indexes where the pattern can start + while ( i >= 0 ) { + + // 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 = offset + 1; + j = j + 1; + } else if ( ( pattern.getContent ( )[j] == pattern.getSubtreeWildcard ( ) ) && ( subject.getContent ( )[offset].getSymbol ( ) != pattern.getBarSymbol ( ) ) ) { + // 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 heristics + i -= bcs[subject.getContent ( )[i]]; + } + + return occ; +} + +auto ReversedBoyerMooreHorspoolPrefixRankedBarTreePrefixRankedBarPattern = ReversedBoyerMooreHorspool::RegistratorWrapper < std::set < unsigned >, tree::PrefixRankedBarTree, tree::PrefixRankedBarPattern > ( ReversedBoyerMooreHorspool::getInstance ( ), ReversedBoyerMooreHorspool::match ); + +} /* namespace exact */ + +} /* namespace arbology */ diff --git a/alib2algo/src/arbology/exact/ReversedBoyerMooreHorspool.h b/alib2algo/src/arbology/exact/ReversedBoyerMooreHorspool.h new file mode 100644 index 0000000000000000000000000000000000000000..637d2fb52d5988403fe5ed49d0687a657117c8e1 --- /dev/null +++ b/alib2algo/src/arbology/exact/ReversedBoyerMooreHorspool.h @@ -0,0 +1,46 @@ +/* + * ReversedBoyerMooreHorspool.h + * + * Created on: 5. 11. 2014 + * Author: Jan Travnicek + */ + +#ifndef _ARBOLOGY_REVERSED_BOYER_MOORE_HORSPOOL_H_ +#define _ARBOLOGY_REVERSED_BOYER_MOORE_HORSPOOL_H_ + +#include <set> +#include <common/multipleDispatch.hpp> +#include <tree/TreeFeatures.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 ReversedBoyerMooreHorspool : public std::DoubleDispatch < std::set < unsigned >, tree::TreeBase, tree::TreeBase > { +public: + /** + * Search for pattern in linear string. + * @return set set of occurences + */ + static std::set < unsigned > match ( const tree::Tree & subject, const tree::Tree & pattern ); + + static std::set < unsigned > match ( const tree::PrefixRankedBarTree & subject, const tree::PrefixRankedBarTree & pattern ); + static std::set < unsigned > match ( const tree::PrefixRankedBarTree & subject, const tree::PrefixRankedBarPattern & pattern ); + + static ReversedBoyerMooreHorspool & getInstance ( ) { + static ReversedBoyerMooreHorspool res; + + return res; + } + +}; + +} /* namespace exact */ + +} /* namespace arbology */ + +#endif /* _ARBOLOGY_REVERSED_BOYER_MOORE_HORSPOOL_H_ */ diff --git a/examples2/tree/aarbology.test2.pattern.xml b/examples2/tree/aarbology.test2.pattern.xml new file mode 100644 index 0000000000000000000000000000000000000000..d078348aefc96142f835e6c56ccc44bd83d984be --- /dev/null +++ b/examples2/tree/aarbology.test2.pattern.xml @@ -0,0 +1,2 @@ +<?xml version="1.0"?> +<RankedPattern><subtreeWildcard><RankedSymbol><SubtreeWildcardSymbol/><Unsigned>0</Unsigned></RankedSymbol></subtreeWildcard><rankedAlphabet><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>a</Character></PrimitiveLabel></LabeledSymbol><Unsigned>0</Unsigned></RankedSymbol><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>b</Character></PrimitiveLabel></LabeledSymbol><Unsigned>1</Unsigned></RankedSymbol><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>c</Character></PrimitiveLabel></LabeledSymbol><Unsigned>2</Unsigned></RankedSymbol><RankedSymbol><SymbolRef id="0"/><Unsigned>0</Unsigned></RankedSymbol></rankedAlphabet><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>c</Character></PrimitiveLabel></LabeledSymbol><Unsigned>2</Unsigned></RankedSymbol><rankedNode><RankedSymbol><SubtreeWildcardSymbol/><Unsigned>0</Unsigned></RankedSymbol></rankedNode><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>b</Character></PrimitiveLabel></LabeledSymbol><Unsigned>1</Unsigned></RankedSymbol><rankedNode><RankedSymbol><SubtreeWildcardSymbol/><Unsigned>0</Unsigned></RankedSymbol></rankedNode></rankedNode></rankedNode></RankedPattern> diff --git a/examples2/tree/aarbology.test2.subject.xml b/examples2/tree/aarbology.test2.subject.xml new file mode 100644 index 0000000000000000000000000000000000000000..74294610621b6c80e2efac183b224124ef37096b --- /dev/null +++ b/examples2/tree/aarbology.test2.subject.xml @@ -0,0 +1,2 @@ +<?xml version="1.0"?> 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/PrimitiveLabel></LabeledSymbol><Unsigned>2</Unsigned></RankedSymbol><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>b</Character></PrimitiveLabel></LabeledSymbol><Unsigned>1</Unsigned></RankedSymbol><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>a</Character></PrimitiveLabel></LabeledSymbol><Unsigned>0</Unsigned></RankedSymbol></rankedNode></rankedNode><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>b</Character></PrimitiveLabel></LabeledSymbol><Unsigned>1</Unsigned></RankedSymbol><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>b</Character></PrimitiveLabel></LabeledSymbol><Unsigned>1</Unsigned></RankedSymbol><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>a</Character></PrimitiveLabel></LabeledSymbol><Unsigned>0</Unsigned></RankedSymbol></rankedNode></rankedNode></rankedNode></rankedNode><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>a</Character></PrimitiveLabel></LabeledSymbol><Unsigned>0</Unsigned></RankedSymbol></rankedNode></rankedNode><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>c</Character></PrimitiveLabel></LabeledSymbol><Unsigned>2</Unsigned></RankedSymbol><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>b</Character></PrimitiveLabel></LabeledSymbol><Unsigned>1</Unsigned></RankedSymbol><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>a</Character></PrimitiveLabel></LabeledSymbol><Unsigned>0</Unsigned></RankedSymbol></rankedNode></rankedNode><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>a</Character></PrimitiveLabel></LabeledSymbol><Unsigned>0</Unsigned></RankedSymbol></rankedNode></rankedNode></rankedNode></rankedNode></rankedNode></rankedNode></rankedNode></rankedNode></rankedNode><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>c</Character></PrimitiveLabel></LabeledSymbol><Unsigned>2</Unsigned></RankedSymbol><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>c</Character></PrimitiveLabel></LabeledSymbol><Unsigned>2</Unsigned></RankedSymbol><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>c</Character></PrimitiveLabel></LabeledSymbol><Unsigned>2</Unsigned></RankedSymbol><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>c</Character></PrimitiveLabel></LabeledSymbol><Unsigned>2</Unsigned></RankedSymbol><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>b</Character></PrimitiveLabel></LabeledSymbol><Unsigned>1</Unsigned></RankedSymbol><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>b</Character></PrimitiveLabel></LabeledSymbol><Unsigned>1</Unsigned></RankedSymbol><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>c</Character></PrimitiveLabel></LabeledSymbol><Unsigned>2</Unsigned></RankedSymbol><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>a</Character></PrimitiveLabel></LabeledSymbol><Unsigned>0</Unsigned></RankedSymbol></rankedNode><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>a</Character></PrimitiveLabel></LabeledSymbol><Unsigned>0</Unsigned></RankedSymbol></rankedNode></rankedNode></rankedNode></rankedNode><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>a</Character></PrimitiveLabel></LabeledSymbol><Unsigned>0</Unsigned></RankedSymbol></rankedNode></rankedNode><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>b</Character></PrimitiveLabel></LabeledSymbol><Unsigned>1</Unsigned></RankedSymbol><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>a</Character></PrimitiveLabel></LabeledSymbol><Unsigned>0</Unsigned></RankedSymbol></rankedNode></rankedNode></rankedNode><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>b</Character></PrimitiveLabel></LabeledSymbol><Unsigned>1</Unsigned></RankedSymbol><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>a</Character></PrimitiveLabel></LabeledSymbol><Unsigned>0</Unsigned></RankedSymbol></rankedNode></rankedNode></rankedNode><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>b</Character></PrimitiveLabel></LabeledSymbol><Unsigned>1</Unsigned></RankedSymbol><rankedNode><RankedSymbol><LabeledSymbol><PrimitiveLabel><Character>a</Character></PrimitiveLabel></LabeledSymbol><Unsigned>0</Unsigned></RankedSymbol></rankedNode></rankedNode></rankedNode></rankedNode></RankedTree> diff --git a/examples2/tree/aarbology.test2.subtree.xml b/examples2/tree/aarbology.test2.subtree.xml new file mode 100644 index 0000000000000000000000000000000000000000..fab30bef1443f07b26d2147d6e3fa3608346cdd9 --- /dev/null +++ b/examples2/tree/aarbology.test2.subtree.xml @@ -0,0 +1,69 @@ +<?xml version="1.0"?> +<RankedTree> + <rankedAlphabet> + <RankedSymbol> +<LabeledSymbol> + <PrimitiveLabel> + <Character>a</Character> + </PrimitiveLabel> +</LabeledSymbol> + <Unsigned>2</Unsigned> + </RankedSymbol> + <RankedSymbol> +<LabeledSymbol> + <PrimitiveLabel> + <Character>b</Character> + </PrimitiveLabel> +</LabeledSymbol> + <Unsigned>1</Unsigned> + </RankedSymbol> + <RankedSymbol> +<LabeledSymbol> + <PrimitiveLabel> + <Character>c</Character> + </PrimitiveLabel> +</LabeledSymbol> + <Unsigned>0</Unsigned> + </RankedSymbol> + </rankedAlphabet> + <rankedNode> + <RankedSymbol> +<LabeledSymbol> + <PrimitiveLabel> + <Character>b</Character> + </PrimitiveLabel> +</LabeledSymbol> + <Unsigned>1</Unsigned> + </RankedSymbol> + <rankedNode> + <RankedSymbol> +<LabeledSymbol> + <PrimitiveLabel> + <Character>a</Character> + </PrimitiveLabel> +</LabeledSymbol> + <Unsigned>2</Unsigned> + </RankedSymbol> + <rankedNode> + <RankedSymbol> +<LabeledSymbol> + <PrimitiveLabel> + <Character>c</Character> + </PrimitiveLabel> +</LabeledSymbol> + <Unsigned>0</Unsigned> + </RankedSymbol> + </rankedNode> + <rankedNode> + <RankedSymbol> +<LabeledSymbol> + <PrimitiveLabel> + <Character>c</Character> + </PrimitiveLabel> +</LabeledSymbol> + <Unsigned>0</Unsigned> + </RankedSymbol> + </rankedNode> + </rankedNode> + </rankedNode> +</RankedTree>