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formula.cpp
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formula.cpp
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#include <vector>
#include <string>
#include <sstream>
#include <cassert>
#include <tr1/memory>
#include "exception.hpp"
#include "funcs.hpp"
#include "term.hpp"
#include "term_string.hpp"
#include "term_variable.hpp"
#include "term_constant.hpp"
#include "type_table.hpp"
#include "formula.hpp"
#include "formula_pred.hpp"
#include "formula_equ.hpp"
#include "formula_neg.hpp"
#include "formula_conj.hpp"
/** \file formula.hpp
* Declaration of the Formula class and FormulaType enum.
*/
/** \file formula.cpp
* Definition of the Formula class.
*/
/** \enum FormulaType
* The category of a Formula in first-order logic.
*/
/** \var FT_PRED
* A Formula that takes the form of a predicate.
*/
/** \var FT_NEG
* A Formula that takes the form of a negation of another Formula.
*/
/** \var FT_CONJ
* A Formula that takes the form of a conjunction of other Formulas.
*/
/** \var FT_EQU
* A Formula that takes the form of an equality statement between two Terms.
*/
/** \class Formula
* A Formula in first-order logic.
*/
/**
* Empty destructor for derived classes.
*/
Formula::~Formula()
{
}
/**
* Determine whether or not this Formula may be a member of a State.
* \todo If the above description is correct, this should not include
* negations or equality. So what does it really do?
* \todo Rather than this logic, it should be a virtual function.
* \return Whether or not this Formula may be a member of a State.
*/
bool Formula::IsValidAtom() const
{
switch( GetType() )
{
case FT_PRED:
return true;
case FT_CONJ:
return false;
case FT_NEG:
if( dynamic_cast< const FormulaNeg * >( this )->GetCNegForm()->GetType() == FT_PRED ||
dynamic_cast< const FormulaNeg * >( this )->GetCNegForm()->GetType() == FT_EQU )
return true;
else
return false;
case FT_EQU:
return true;
default:
throw Exception( E_FORMULA_TYPE_UNKNOWN,
"Unknown Formula Type",
__FILE__,
__LINE__ );
}
}
/**
* Create a new Formula from its textual representation.
* \param p_Stream INOUT A stringstream containing a representation of the
* Formula. The get pointer will be advanced beyond it.
* \param p_TypeTable IN A TypeTable from Terms to their types. If this is
* non-empty, only Terms that appear in it will be allowed, and they will be
* instantiated with their associated types. If it is empty, any Terms will
* be allowed, and they will be untyped.
* \param p_vAllowablePredicates IN A list of predicate symbols that may be
* used in this Formula. If non-empty only those predicates may be used,
* otherwise, any may be.
* \return A smart pointer to a Formula with that representation.
*/
FormulaP NewFormula( std::stringstream & p_Stream,
const TypeTable & p_TypeTable,
const std::vector< FormulaPred > & p_vAllowablePredicates ) throw( MissingStringException )
{
std::streampos l_Pos = p_Stream.tellg();
EatString( p_Stream, "(" );
EatWhitespace( p_Stream );
std::string l_sWord = ReadString( p_Stream );
p_Stream.seekg( l_Pos );
if( !CompareNoCase( l_sWord, "not" ) )
return FormulaP( new FormulaNeg( p_Stream, p_TypeTable, p_vAllowablePredicates ) );
else if( !CompareNoCase( l_sWord, "and" ) )
return FormulaP( new FormulaConj( p_Stream, p_TypeTable, p_vAllowablePredicates ) );
else if( !CompareNoCase( l_sWord, "=" ) )
return FormulaP( new FormulaEqu( p_Stream, p_TypeTable ) );
else if( l_sWord.length() == 0 )
throw MissingStringException( "Expected non-zero length predicate.",
__FILE__,
__LINE__,
"any predicate symbol" );
else
return FormulaP( new FormulaPred( p_Stream, p_TypeTable, p_vAllowablePredicates ) );
}
/**
* Determine whether or not two Formulas are equal.
* \param p_First IN The first Formula to compare.
* \param p_Second IN The second Formula to compare.
* \return Whether or not p_First and p_Second are equal.
*/
bool operator==( const Formula & p_First, const Formula & p_Second )
{
return p_First.Equal( p_Second );
}
/*
FormulaPLess g_FormulaPLess;
bool FormulaPLess::operator()( const FormulaP & p_pForm1,
const FormulaP & p_pForm2 ) const
{
switch( p_pForm1->GetType() )
{
case FT_PRED:
{
switch( p_pForm2->GetType() )
{
case FT_PRED:
{
FormulaPredP l_pFirst = std::tr1::dynamic_pointer_cast< FormulaPred >( p_pForm1 );
FormulaPredP l_pSecond = std::tr1::dynamic_pointer_cast< FormulaPred >( p_pForm2 );
int l_iResult = l_pSecond->GetRelationIndex() - l_pFirst->GetRelationIndex();
if( l_iResult < 0 )
return true;
if( l_iResult > 0 )
return false;
l_iResult = l_pSecond->GetValence() - l_pFirst->GetValence();
if( l_iResult < 0 )
return true;
if( l_iResult > 0 )
return false;
for( unsigned int i = 0; i < l_pFirst->GetValence(); i++ )
{
if( l_pFirst->GetCParam( i ) < l_pSecond->GetCParam( i ) )
return true;
if( l_pSecond->GetCParam( i ) < l_pFirst->GetCParam( i ) )
return false;
}
return false;
}
case FT_EQU:
return true;
case FT_NEG:
return true;
case FT_CONJ:
return true;
default:
throw Exception( E_FORMULA_TYPE_UNKNOWN,
"Unknown formula type.",
__FILE__,
__LINE__ );
}
}
case FT_EQU:
{
switch( p_pForm2->GetType() )
{
case FT_PRED:
return false;
case FT_EQU:
{
FormulaEquP l_pFirst = std::tr1::dynamic_pointer_cast< FormulaEqu >( p_pForm1 );
FormulaEquP l_pSecond = std::tr1::dynamic_pointer_cast< FormulaEqu >( p_pForm2 );
if( l_pFirst->GetCFirst() < l_pSecond->GetCFirst() )
return true;
if( l_pSecond->GetCFirst() < l_pFirst->GetCFirst() )
return false;
if( l_pFirst->GetCSecond() < l_pSecond->GetCSecond() )
return true;
if( l_pSecond->GetCSecond() < l_pFirst->GetCSecond() )
return false;
return false;
}
case FT_NEG:
return true;
case FT_CONJ:
return true;
default:
throw Exception( E_FORMULA_TYPE_UNKNOWN,
"Unknown formula type.",
__FILE__,
__LINE__ );
}
}
case FT_NEG:
{
switch( p_pForm2->GetType() )
{
case FT_PRED:
return false;
case FT_EQU:
return false;
case FT_NEG:
{
FormulaNegP l_pFirst = std::tr1::dynamic_pointer_cast< FormulaNeg >( p_pForm1 );
FormulaNegP l_pSecond = std::tr1::dynamic_pointer_cast< FormulaNeg >( p_pForm2 );
return g_FormulaPLess( l_pFirst->GetCNegForm(), l_pSecond->GetCNegForm() );
}
case FT_CONJ:
return true;
default:
throw Exception( E_FORMULA_TYPE_UNKNOWN,
"Unknown formula type.",
__FILE__,
__LINE__ );
}
}
case FT_CONJ:
{
switch( p_pForm2->GetType() )
{
case FT_PRED:
return false;
case FT_EQU:
return false;
case FT_NEG:
return false;
case FT_CONJ:
{
FormulaConjP l_pFirst = std::tr1::dynamic_pointer_cast< FormulaConj >( p_pForm1 );
FormulaConjP l_pSecond = std::tr1::dynamic_pointer_cast< FormulaConj >( p_pForm2 );
FormulaPSetCI i = l_pFirst->GetBeginConj();
FormulaPSetCI j = l_pSecond->GetBeginConj();
for( ;
i != l_pFirst->GetEndConj() && j != l_pSecond->GetEndConj();
)
{
if( g_FormulaPLess( *i, *j ) )
return true;
if( g_FormulaPLess( *j, *i ) )
return false;
i++;
j++;
}
return false;
}
default:
throw Exception( E_FORMULA_TYPE_UNKNOWN,
"Unknown formula type.",
__FILE__,
__LINE__ );
}
}
default:
throw Exception( E_FORMULA_TYPE_UNKNOWN,
"Unknown formula type.",
__FILE__,
__LINE__ );
}
throw Exception( E_NOT_IMPLEMENTED,
"It should not be possible to get here.",
__FILE__,
__LINE__ );
}
*/