GNF.h

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/*
 * This file is part of Algorithms library toolkit.
 * Copyright (C) 2017 Jan Travnicek (jan.travnicek@fit.cvut.cz)
 
 * Algorithms library toolkit is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * (at your option) any later version.
 
 * Algorithms library toolkit is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 
 * You should have received a copy of the GNU General Public License
 * along with Algorithms library toolkit.  If not, see <http://www.gnu.org/licenses/>.
 */
 
#pragma once
 
 
#include <ext/algorithm>
 
#include <alib/map>
#include <alib/set>
#include <alib/vector>
 
#include <core/components.hpp>
 
#include <common/DefaultSymbolType.h>
 
#include <grammar/GrammarException.h>
 
#include <core/normalize.hpp>
#include <alphabet/common/SymbolNormalize.h>
#include <grammar/common/GrammarNormalize.h>
 
namespace grammar {
 
class TerminalAlphabet;
class NonterminalAlphabet;
class InitialSymbol;
 
template < class TerminalSymbolType = DefaultSymbolType, class NonterminalSymbolType = DefaultSymbolType >
class GNF final : public core::Components < GNF < TerminalSymbolType, NonterminalSymbolType >, ext::set < TerminalSymbolType >, component::Set, TerminalAlphabet, ext::set < NonterminalSymbolType >, component::Set, NonterminalAlphabet, NonterminalSymbolType, component::Value, InitialSymbol > {
    ext::map < NonterminalSymbolType, ext::set < ext::pair < TerminalSymbolType, ext::vector < NonterminalSymbolType > > > > rules;
 
    bool generatesEpsilon;
 
public:
    explicit GNF ( NonterminalSymbolType initialSymbol );
 
    explicit GNF ( ext::set < NonterminalSymbolType > nonterminalAlphabet, ext::set < TerminalSymbolType > terminalAlphabet, NonterminalSymbolType initialSymbol );
 
    bool addRule ( NonterminalSymbolType leftHandSide, ext::pair < TerminalSymbolType, ext::vector < NonterminalSymbolType > > rightHandSide );
 
    void addRules ( NonterminalSymbolType leftHandSide, ext::set < ext::pair < TerminalSymbolType, ext::vector < NonterminalSymbolType > > > rightHandSide );
 
    const ext::map < NonterminalSymbolType, ext::set < ext::pair < TerminalSymbolType, ext::vector < NonterminalSymbolType > > > > & getRules ( ) const &;
 
    ext::map < NonterminalSymbolType, ext::set < ext::pair < TerminalSymbolType, ext::vector < NonterminalSymbolType > > > > && getRules ( ) &&;
 
    bool removeRule ( const NonterminalSymbolType & leftHandSide, const ext::pair < TerminalSymbolType, ext::vector < NonterminalSymbolType > > & rightHandSide );
 
    const NonterminalSymbolType & getInitialSymbol ( ) const & {
        return this->template accessComponent < InitialSymbol > ( ).get ( );
    }
 
    NonterminalSymbolType && getInitialSymbol ( ) && {
        return std::move ( this->template accessComponent < InitialSymbol > ( ).get ( ) );
    }
 
    bool setInitialSymbol ( NonterminalSymbolType symbol ) {
        return this->template accessComponent < InitialSymbol > ( ).set ( std::move ( symbol ) );
    }
 
    const ext::set < NonterminalSymbolType > & getNonterminalAlphabet ( ) const & {
        return this->template accessComponent < NonterminalAlphabet > ( ).get ( );
    }
 
    ext::set < NonterminalSymbolType > && getNonterminalAlphabet ( ) && {
        return std::move ( this->template accessComponent < NonterminalAlphabet > ( ).get ( ) );
    }
 
    bool addNonterminalSymbol ( NonterminalSymbolType symbol ) {
        return this->template accessComponent < NonterminalAlphabet > ( ).add ( std::move ( symbol ) );
    }
 
    void setNonterminalAlphabet ( ext::set < NonterminalSymbolType > symbols ) {
        this->template accessComponent < NonterminalAlphabet > ( ).set ( std::move ( symbols ) );
    }
 
    const ext::set < TerminalSymbolType > & getTerminalAlphabet ( ) const & {
        return this->template accessComponent < TerminalAlphabet > ( ).get ( );
    }
 
    ext::set < TerminalSymbolType > && getTerminalAlphabet ( ) && {
        return std::move ( this->template accessComponent < TerminalAlphabet > ( ).get ( ) );
    }
 
    bool addTerminalSymbol ( TerminalSymbolType symbol ) {
        return this->template accessComponent < TerminalAlphabet > ( ).add ( std::move ( symbol ) );
    }
 
    void setTerminalAlphabet ( ext::set < TerminalSymbolType > symbols ) {
        this->template accessComponent < TerminalAlphabet > ( ).set ( std::move ( symbols ) );
    }
 
    void setGeneratesEpsilon ( bool genEps );
 
    bool getGeneratesEpsilon ( ) const;
 
    auto operator <=> ( const GNF & other ) const {
        return std::tie ( getTerminalAlphabet ( ), getNonterminalAlphabet ( ), getInitialSymbol ( ), rules ) <=> std::tie ( other.getTerminalAlphabet ( ), other.getNonterminalAlphabet ( ), other.getInitialSymbol ( ), other.rules );
    }
 
    bool operator == ( const GNF & other ) const {
        return std::tie ( getTerminalAlphabet ( ), getNonterminalAlphabet ( ), getInitialSymbol ( ), rules ) == std::tie ( other.getTerminalAlphabet ( ), other.getNonterminalAlphabet ( ), other.getInitialSymbol ( ), other.rules );
    }
 
    friend ext::ostream & operator << ( ext::ostream & out, const GNF & instance ) {
        return out << "(GNF"
               << " nonterminalAlphabet = " << instance.getNonterminalAlphabet ( )
               << " terminalAlphabet = " << instance.getTerminalAlphabet ( )
               << " initialSymbol = " << instance.getInitialSymbol ( )
               << " rules = " << instance.getRules ( )
               << ")";
    }
};
 
template < class TerminalSymbolType, class NonterminalSymbolType >
GNF < TerminalSymbolType, NonterminalSymbolType >::GNF ( NonterminalSymbolType initialSymbol ) : GNF ( ext::set < NonterminalSymbolType > { initialSymbol }, ext::set < TerminalSymbolType > ( ), initialSymbol ) {
}
 
template < class TerminalSymbolType, class NonterminalSymbolType >
GNF < TerminalSymbolType, NonterminalSymbolType >::GNF ( ext::set < NonterminalSymbolType > nonterminalAlphabet, ext::set < TerminalSymbolType > terminalAlphabet, NonterminalSymbolType initialSymbol ) : core::Components < GNF, ext::set < TerminalSymbolType >, component::Set, TerminalAlphabet, ext::set < NonterminalSymbolType >, component::Set, NonterminalAlphabet, NonterminalSymbolType, component::Value, InitialSymbol > ( std::move ( terminalAlphabet), std::move ( nonterminalAlphabet ), std::move ( initialSymbol ) ), generatesEpsilon ( false ) {
}
 
template < class TerminalSymbolType, class NonterminalSymbolType >
bool GNF < TerminalSymbolType, NonterminalSymbolType >::addRule ( NonterminalSymbolType leftHandSide, ext::pair < TerminalSymbolType, ext::vector < NonterminalSymbolType > > rightHandSide ) {
    if ( !getNonterminalAlphabet ( ).count ( leftHandSide ) )
        throw GrammarException ( "Rule must rewrite nonterminal symbol" );
 
    if ( !getTerminalAlphabet ( ).count ( rightHandSide.first ) )
        throw GrammarException ( "Rule must rewrite to terminal symbol" );
 
    for ( const NonterminalSymbolType & rhsNTs : rightHandSide.second )
        if ( !getNonterminalAlphabet ( ).count ( rhsNTs ) )
            throw GrammarException ( "Symbol \"" + ext::to_string ( rhsNTs ) + "\" is not a nonterminal symbol" );
 
    return rules[std::move ( leftHandSide )].insert ( std::move ( rightHandSide ) ).second;
}
 
template < class TerminalSymbolType, class NonterminalSymbolType >
void GNF < TerminalSymbolType, NonterminalSymbolType >::addRules ( NonterminalSymbolType leftHandSide, ext::set < ext::pair < TerminalSymbolType, ext::vector < NonterminalSymbolType > > > rightHandSide ) {
    if ( !getNonterminalAlphabet ( ).count ( leftHandSide ) )
        throw GrammarException ( "Rule must rewrite nonterminal symbol" );
 
    for ( const ext::pair < TerminalSymbolType, ext::vector < NonterminalSymbolType > > & rhs : rightHandSide ) {
        if ( ! getTerminalAlphabet ( ).count ( rhs.first ) )
            throw GrammarException ( "Rule must rewrite to terminal symbol" );
 
        for ( const NonterminalSymbolType & rhsNTs : rhs.second )
            if ( !getNonterminalAlphabet ( ).count ( rhsNTs ) )
                throw GrammarException ( "Symbol \"" + ext::to_string ( rhsNTs ) + "\" is not a nonterminal symbol" );
    }
 
    rules[std::move ( leftHandSide )].insert ( ext::make_mover ( rightHandSide ).begin ( ), ext::make_mover ( rightHandSide ).end ( ) );
}
 
template < class TerminalSymbolType, class NonterminalSymbolType >
const ext::map < NonterminalSymbolType, ext::set < ext::pair < TerminalSymbolType, ext::vector < NonterminalSymbolType > > > > & GNF < TerminalSymbolType, NonterminalSymbolType >::getRules ( ) const & {
    return rules;
}
 
template < class TerminalSymbolType, class NonterminalSymbolType >
ext::map < NonterminalSymbolType, ext::set < ext::pair < TerminalSymbolType, ext::vector < NonterminalSymbolType > > > > && GNF < TerminalSymbolType, NonterminalSymbolType >::getRules ( ) && {
    return std::move ( rules );
}
 
template < class TerminalSymbolType, class NonterminalSymbolType >
bool GNF < TerminalSymbolType, NonterminalSymbolType >::removeRule ( const NonterminalSymbolType & leftHandSide, const ext::pair < TerminalSymbolType, ext::vector < NonterminalSymbolType > > & rightHandSide ) {
    return rules[leftHandSide].erase ( rightHandSide );
}
 
template < class TerminalSymbolType, class NonterminalSymbolType >
void GNF < TerminalSymbolType, NonterminalSymbolType >::setGeneratesEpsilon ( bool genEps ) {
    generatesEpsilon = genEps;
}
 
template < class TerminalSymbolType, class NonterminalSymbolType >
bool GNF < TerminalSymbolType, NonterminalSymbolType >::getGeneratesEpsilon ( ) const {
    return generatesEpsilon;
}
 
} /* namespace grammar */
 
namespace core {
 
template < class TerminalSymbolType, class NonterminalSymbolType >
class SetConstraint< grammar::GNF < TerminalSymbolType, NonterminalSymbolType >, TerminalSymbolType, grammar::TerminalAlphabet > {
public:
    static bool used ( const grammar::GNF < TerminalSymbolType, NonterminalSymbolType > & grammar, const TerminalSymbolType & symbol ) {
        for ( const std::pair < const NonterminalSymbolType, ext::set < ext::pair < TerminalSymbolType, ext::vector < NonterminalSymbolType > > > > & rule : grammar.getRules ( ) )
            for ( const ext::pair < TerminalSymbolType, ext::vector < NonterminalSymbolType > > & rhs : rule.second )
                if ( rhs.first == symbol )
                    return true;
 
        return false;
    }
 
    static bool available ( const grammar::GNF < TerminalSymbolType, NonterminalSymbolType > &, const TerminalSymbolType & ) {
        return true;
    }
 
    static void valid ( const grammar::GNF < TerminalSymbolType, NonterminalSymbolType > & grammar, const TerminalSymbolType & symbol ) {
        if ( grammar.template accessComponent < grammar::NonterminalAlphabet > ( ).get ( ).count ( ext::poly_comp ( symbol ) ) )
            throw grammar::GrammarException ( "Symbol " + ext::to_string ( symbol ) + " cannot be in the terminal alphabet since it is already in the nonterminal alphabet." );
    }
};
 
template < class TerminalSymbolType, class NonterminalSymbolType >
class SetConstraint< grammar::GNF < TerminalSymbolType, NonterminalSymbolType >, NonterminalSymbolType, grammar::NonterminalAlphabet > {
public:
    static bool used ( const grammar::GNF < TerminalSymbolType, NonterminalSymbolType > & grammar, const NonterminalSymbolType & symbol ) {
        for ( const std::pair < const NonterminalSymbolType, ext::set < ext::pair < TerminalSymbolType, ext::vector < NonterminalSymbolType > > > > & rule : grammar.getRules ( ) ) {
            if ( rule.first == symbol )
                return true;
 
            for ( const ext::pair < TerminalSymbolType, ext::vector < NonterminalSymbolType > > & rhs : rule.second )
                if ( std::find ( rhs.second.begin ( ), rhs.second.end ( ), symbol ) != rhs.second.end ( ) )
                    return true;
        }
 
        return grammar.template accessComponent < grammar::InitialSymbol > ( ).get ( ) == symbol;
    }
 
    static bool available ( const grammar::GNF < TerminalSymbolType, NonterminalSymbolType > &, const NonterminalSymbolType & ) {
        return true;
    }
 
    static void valid ( const grammar::GNF < TerminalSymbolType, NonterminalSymbolType > & grammar, const NonterminalSymbolType & symbol ) {
        if ( grammar.template accessComponent < grammar::TerminalAlphabet > ( ).get ( ).count ( ext::poly_comp ( symbol ) ) )
            throw grammar::GrammarException ( "Symbol " + ext::to_string ( symbol ) + " cannot be in the nonterminal alphabet since it is already in the terminal alphabet." );
    }
};
 
template < class TerminalSymbolType, class NonterminalSymbolType >
class ElementConstraint< grammar::GNF < TerminalSymbolType, NonterminalSymbolType >, NonterminalSymbolType, grammar::InitialSymbol > {
public:
    static bool available ( const grammar::GNF < TerminalSymbolType, NonterminalSymbolType > & grammar, const NonterminalSymbolType & symbol ) {
        return grammar.template accessComponent < grammar::NonterminalAlphabet > ( ).get ( ).count ( symbol );
    }
 
    static void valid ( const grammar::GNF < TerminalSymbolType, NonterminalSymbolType > &, const NonterminalSymbolType & ) {
    }
};
 
template < class TerminalSymbolType, class NonterminalSymbolType >
struct normalize < grammar::GNF < TerminalSymbolType, NonterminalSymbolType > > {
    static grammar::GNF < > eval ( grammar::GNF < TerminalSymbolType, NonterminalSymbolType > && value ) {
        ext::set < DefaultSymbolType > nonterminals = alphabet::SymbolNormalize::normalizeAlphabet ( std::move ( value ).getNonterminalAlphabet ( ) );
        ext::set < DefaultSymbolType > terminals = alphabet::SymbolNormalize::normalizeAlphabet ( std::move ( value ).getTerminalAlphabet ( ) );
        DefaultSymbolType initialSymbol = alphabet::SymbolNormalize::normalizeSymbol ( std::move ( value ).getInitialSymbol ( ) );
 
        grammar::GNF < > res ( std::move ( nonterminals ), std::move ( terminals ), std::move ( initialSymbol ) );
 
        for ( std::pair < NonterminalSymbolType, ext::set < ext::pair < TerminalSymbolType, ext::vector < NonterminalSymbolType > > > > && rule : ext::make_mover ( std::move ( value ).getRules ( ) ) ) {
 
            ext::set < ext::pair < DefaultSymbolType, ext::vector < DefaultSymbolType > > > rhs;
            for ( ext::pair < TerminalSymbolType, ext::vector < NonterminalSymbolType > > && target : ext::make_mover ( rule.second ) )
                rhs.insert ( grammar::GrammarNormalize::normalizeRHS ( std::move ( target ) ) );
 
            DefaultSymbolType lhs = alphabet::SymbolNormalize::normalizeSymbol ( std::move ( rule.first ) );
 
            res.addRules ( std::move ( lhs ), std::move ( rhs ) );
        }
 
        res.setGeneratesEpsilon ( value.getGeneratesEpsilon ( ) );
 
        return res;
    }
};
 
} /* namespace core */
 
extern template class grammar::GNF < >;