Ajout de la fitness max SAT (avec incr eval)
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#include <eval/moFullEvalByModif.h>
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#include <eval/moFullEvalByModif.h>
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#include <eval/moDummyEval.h>
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#include <eval/moDummyEval.h>
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#include <eval/moEvalCounter.h>
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#include <eval/moEvalCounter.h>
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#include <eval/moMaxSATincrEval.h>
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#include <explorer/moFirstImprHCexplorer.h>
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#include <explorer/moFirstImprHCexplorer.h>
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#include <explorer/moNeutralHCexplorer.h>
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#include <explorer/moNeutralHCexplorer.h>
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121
trunk/paradiseo-mo/src/problems/eval/moMaxSATincrEval.h
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121
trunk/paradiseo-mo/src/problems/eval/moMaxSATincrEval.h
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/*
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<moMaxSATincrEval.h>
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Copyright (C) DOLPHIN Project-Team, INRIA Lille - Nord Europe, 2006-2010
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Sebastien Verel, Arnaud Liefooghe, Jeremie Humeau
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This software is governed by the CeCILL license under French law and
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abiding by the rules of distribution of free software. You can ue,
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modify and/ or redistribute the software under the terms of the CeCILL
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license as circulated by CEA, CNRS and INRIA at the following URL
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"http://www.cecill.info".
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In this respect, the user's attention is drawn to the risks associated
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with loading, using, modifying and/or developing or reproducing the
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software by the user in light of its specific status of free software,
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that may mean that it is complicated to manipulate, and that also
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therefore means that it is reserved for developers and experienced
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professionals having in-depth computer knowledge. Users are therefore
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encouraged to load and test the software's suitability as regards their
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requirements in conditions enabling the security of their systems and/or
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data to be ensured and, more generally, to use and operate it in the
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same conditions as regards security.
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The fact that you are presently reading this means that you have had
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knowledge of the CeCILL license and that you accept its terms.
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ParadisEO WebSite : http://paradiseo.gforge.inria.fr
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Contact: paradiseo-help@lists.gforge.inria.fr
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*/
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#ifndef _moMaxSATincrEval_h
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#define _moMaxSATincrEval_h
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#include <eval/moEval.h>
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#include <eval/maxSATeval.h>
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/**
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* Incremental evaluation Function for the max SAT problem
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*/
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template <class Neighbor>
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class moMaxSATincrEval : public moEval <Neighbor> {
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public :
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typedef typename Neighbor::EOT EOT;
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moMaxSATincrEval(MaxSATeval<EOT> & _fulleval) : fulleval(_fulleval) {
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nbClauses = _fulleval.nbClauses;
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nbVar = _fulleval.nbVar;
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clauses = _fulleval.clauses;
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variables = _fulleval.variables;
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}
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/*
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* incremental evaluation of the neighbor for the max SAT problem
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* @param _solution the solution (of type bit string) to move
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* @param _neighbor the neighbor (of type moBitNeigbor) to consider
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*/
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virtual void operator()(EOT & _solution, Neighbor & _neighbor) {
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// the difference of fitness
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int delta = 0;
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// the flipped bit
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unsigned int bit = _neighbor.index();
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// clauses which can be modified by the flipped bit
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const vector<int> & modifiedClauses = variables[bit + 1] ; // remember that the variables start at index 1 and not 0
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unsigned int size = modifiedClauses.size();
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int nc;
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bool litt;
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for(unsigned int k = 0; k < size; k++) {
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// number of the clause
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nc = modifiedClauses[k];
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// negative means that the not(variable) is in the clause
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if (nc < 0) {
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nc = - nc;
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litt = !_solution[bit];
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} else
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litt = _solution[bit];
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if (litt) {
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// the litteral was true and becomes false
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_solution[bit] = !_solution[bit];
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if (!fulleval.clauseEval(nc, _solution))
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// the clause was true and becomes false
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delta--;
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_solution[bit] = !_solution[bit];
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} else {
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// the litteral was false and becomes true
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if (!fulleval.clauseEval(nc, _solution))
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// the clause was false and becomes true
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delta++;
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}
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}
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_neighbor.fitness(_solution.fitness() + delta);
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}
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protected:
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// number of variables
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unsigned int nbVar;
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// number of clauses
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unsigned int nbClauses;
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// list of clauses:
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// each clause has the number of the variable (from 1 to nbVar)
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// when the value, litteral = not(variable)
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vector<int> * clauses;
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// list of variables:
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// for each variable, the list of clauses
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vector<int> * variables;
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//full eval of the max SAT
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MaxSATeval<EOT> & fulleval;
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};
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#endif
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@ -44,7 +44,7 @@ public:
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/**
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/**
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* Default constructor
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* Default constructor
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* @param _k size of a block
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* @param _rr full evaluation of the Royal Road (to have the same block size)
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*/
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*/
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moRoyalRoadIncrEval(RoyalRoadEval<EOT> & _rr) : k(_rr.blockSize()) {}
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moRoyalRoadIncrEval(RoyalRoadEval<EOT> & _rr) : k(_rr.blockSize()) {}
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@ -14,6 +14,7 @@ ADD_EXECUTABLE(lesson1_fitContinuator lesson1_fitContinuator.cpp)
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ADD_EXECUTABLE(lesson1_fullEvalContinuator lesson1_fullEvalContinuator.cpp)
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ADD_EXECUTABLE(lesson1_fullEvalContinuator lesson1_fullEvalContinuator.cpp)
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ADD_EXECUTABLE(lesson1_evalContinuator lesson1_evalContinuator.cpp)
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ADD_EXECUTABLE(lesson1_evalContinuator lesson1_evalContinuator.cpp)
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ADD_EXECUTABLE(lesson1_combinedContinuator lesson1_combinedContinuator.cpp)
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ADD_EXECUTABLE(lesson1_combinedContinuator lesson1_combinedContinuator.cpp)
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ADD_EXECUTABLE(firstImprHC_maxSAT firstImprHC_maxSAT.cpp)
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TARGET_LINK_LIBRARIES(lesson1_simpleHC eoutils ga eo)
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TARGET_LINK_LIBRARIES(lesson1_simpleHC eoutils ga eo)
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TARGET_LINK_LIBRARIES(lesson1_firstImprHC eoutils ga eo)
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TARGET_LINK_LIBRARIES(lesson1_firstImprHC eoutils ga eo)
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@ -24,3 +25,4 @@ TARGET_LINK_LIBRARIES(lesson1_fitContinuator eoutils ga eo)
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TARGET_LINK_LIBRARIES(lesson1_fullEvalContinuator eoutils ga eo)
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TARGET_LINK_LIBRARIES(lesson1_fullEvalContinuator eoutils ga eo)
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TARGET_LINK_LIBRARIES(lesson1_evalContinuator eoutils ga eo)
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TARGET_LINK_LIBRARIES(lesson1_evalContinuator eoutils ga eo)
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TARGET_LINK_LIBRARIES(lesson1_combinedContinuator eoutils ga eo)
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TARGET_LINK_LIBRARIES(lesson1_combinedContinuator eoutils ga eo)
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TARGET_LINK_LIBRARIES(firstImprHC_maxSAT eoutils ga eo)
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222
trunk/paradiseo-mo/tutorial/Lesson1/firstImprHC_maxSAT.cpp
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222
trunk/paradiseo-mo/tutorial/Lesson1/firstImprHC_maxSAT.cpp
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//-----------------------------------------------------------------------------
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/** firstImprHC_maxSAT.cpp
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*
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* SV - 05/05/10
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*
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*/
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//-----------------------------------------------------------------------------
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// standard includes
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#define HAVE_SSTREAM
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#include <stdexcept> // runtime_error
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#include <iostream> // cout
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#include <sstream> // ostrstream, istrstream
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#include <fstream>
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#include <string.h>
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// the general include for eo
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#include <eo>
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// declaration of the namespace
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using namespace std;
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//-----------------------------------------------------------------------------
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// representation of solutions, and neighbors
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#include <ga/eoBit.h> // bit string : see also EO tutorial lesson 1: FirstBitGA.cpp
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#include <problems/bitString/moBitNeighbor.h> // neighbor of bit string
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//-----------------------------------------------------------------------------
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// fitness function, and evaluation of neighbors
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#include <eval/maxSATeval.h>
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#include <problems/eval/moMaxSATincrEval.h>
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#include <eval/moFullEvalByModif.h>
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//-----------------------------------------------------------------------------
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// neighborhood description
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#include <neighborhood/moRndWithoutReplNeighborhood.h> // visit all neighbors in random order without repeating any neighbor
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//-----------------------------------------------------------------------------
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// the first improvement Hill-Climbing local search
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#include <algo/moFirstImprHC.h>
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// Declaration of types
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//-----------------------------------------------------------------------------
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// Indi is the typedef of the solution type like in paradisEO-eo
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typedef eoBit<unsigned int> Indi; // bit string with unsigned fitness type
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// Neighbor is the typedef of the neighbor type,
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// Neighbor = How to compute the neighbor from the solution + information on it (i.e. fitness)
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// all classes from paradisEO-mo use this template type
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typedef moBitNeighbor<unsigned int> Neighbor ; // bit string neighbor with unsigned fitness type
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// Main function
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//-----------------------------------------------------------------------------
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void main_function(int argc, char **argv)
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{
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/* =========================================================
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*
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* Parameters from parser
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*
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* ========================================================= */
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// more information on the input parameters: see EO tutorial lesson 3
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// but don't care at first it just read the parameters of the bit string size and the random seed.
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// First define a parser from the command-line arguments
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eoParser parser(argc, argv);
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// For each parameter, define Parameter, read it through the parser,
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// and assign the value to the variable
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// random seed parameter
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eoValueParam<uint32_t> seedParam(time(0), "seed", "Random number seed", 'S');
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parser.processParam( seedParam );
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unsigned seed = seedParam.value();
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// length of the bit string
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eoValueParam<unsigned int> vecSizeParam(20, "vecSize", "Genotype size", 'V');
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parser.processParam( vecSizeParam, "Representation" );
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unsigned vecSize = vecSizeParam.value();
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// Number of clauses of the max SAT problem
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eoValueParam<unsigned int> ncParam(10, "nbClauses", "Number of clauses", 'm');
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parser.processParam( ncParam, "Representation" );
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unsigned nbClause = ncParam.value();
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// Number of litteral by clauses
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eoValueParam<unsigned int> kParam(3, "nbLitt", "Number of litteral by clauses", 'k');
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parser.processParam( kParam, "Representation" );
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unsigned nbLitteral = kParam.value();
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// the name of the instance file
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string str_in = "" ; // default value
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eoValueParam<string> inParam(str_in.c_str(), "in", "Input file of the file in ncf format", 'f');
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parser.processParam(inParam, "Persistence" );
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str_in = inParam.value();
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// the name of the "status" file where all actual parameter values will be saved
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string str_status = parser.ProgramName() + ".status"; // default value
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eoValueParam<string> statusParam(str_status.c_str(), "status", "Status file");
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parser.processParam( statusParam, "Persistence" );
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// do the following AFTER ALL PARAMETERS HAVE BEEN PROCESSED
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// i.e. in case you need parameters somewhere else, postpone these
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if (parser.userNeedsHelp()) {
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parser.printHelp(cout);
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exit(1);
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}
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if (statusParam.value() != "") {
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ofstream os(statusParam.value().c_str());
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os << parser;// and you can use that file as parameter file
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}
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/* =========================================================
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*
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* Random seed
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*
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* ========================================================= */
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// reproducible random seed: if you don't change SEED above,
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// you'll aways get the same result, NOT a random run
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// more information: see EO tutorial lesson 1 (FirstBitGA.cpp)
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rng.reseed(seed);
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/* =========================================================
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*
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* Eval fitness function (full evaluation)
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*
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* ========================================================= */
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// the max SAT evaluation
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MaxSATeval<Indi> * fullEval;
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if (str_in.compare("") == 0)
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fullEval = new MaxSATeval<Indi>(vecSize, nbClause, nbLitteral);
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else {
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fullEval = new MaxSATeval<Indi>(str_in);
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vecSize = fullEval->nbVar ;
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}
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// string out = "cnf.dat";
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// fullEval->save(out);
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/* =========================================================
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*
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* evaluation of a neighbor solution
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*
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* ========================================================= */
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// Use it if there is no incremental evaluation: a neighbor is evaluated by the full evaluation of a solution
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// moFullEvalByModif<Neighbor> neighborEval(*fullEval);
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// Incremental evaluation of the neighbor:
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moMaxSATincrEval<Neighbor> neighborEval(*fullEval);
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/* =========================================================
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*
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* Initialization of the solution
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*
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* ========================================================= */
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// a Indi random initializer: each bit is random
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// more information: see EO tutorial lesson 1 (FirstBitGA.cpp)
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eoUniformGenerator<bool> uGen;
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eoInitFixedLength<Indi> random(vecSize, uGen);
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/* =========================================================
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*
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* the neighborhood of a solution
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*
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* ========================================================= */
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// Exploration of the neighborhood in random order of the neigbor's index:
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// each neighbor is visited only once
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moRndWithoutReplNeighborhood<Neighbor> neighborhood(vecSize);
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/* =========================================================
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*
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* the local search algorithm
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*
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* ========================================================= */
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moFirstImprHC<Neighbor> hc(neighborhood, *fullEval, neighborEval);
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/* =========================================================
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*
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* executes the local search from a random solution
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*
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* ========================================================= */
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// The current solution
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Indi solution;
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// Apply random initialization
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random(solution);
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// Evaluation of the initial solution:
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// can be evaluated here, or else it will be done at the beginning of the local search
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(*fullEval)(solution);
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// Output: the intial solution
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std::cout << "initial: " << solution << std::endl ;
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// Apply the local search on the solution !
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hc(solution);
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// Output: the final solution
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std::cout << "final: " << solution << std::endl ;
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}
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// A main that catches the exceptions
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|
||||||
|
int main(int argc, char **argv)
|
||||||
|
{
|
||||||
|
try {
|
||||||
|
main_function(argc, argv);
|
||||||
|
}
|
||||||
|
catch (exception& e) {
|
||||||
|
cout << "Exception: " << e.what() << '\n';
|
||||||
|
}
|
||||||
|
return 1;
|
||||||
|
}
|
||||||
275
trunk/problems/eval/maxSATeval.h
Normal file
275
trunk/problems/eval/maxSATeval.h
Normal file
|
|
@ -0,0 +1,275 @@
|
||||||
|
/*
|
||||||
|
<maxSATeval.h>
|
||||||
|
Copyright (C) DOLPHIN Project-Team, INRIA Lille - Nord Europe, 2006-2010
|
||||||
|
|
||||||
|
Sebastien Verel, Arnaud Liefooghe, Jeremie Humeau
|
||||||
|
|
||||||
|
This software is governed by the CeCILL license under French law and
|
||||||
|
abiding by the rules of distribution of free software. You can ue,
|
||||||
|
modify and/ or redistribute the software under the terms of the CeCILL
|
||||||
|
license as circulated by CEA, CNRS and INRIA at the following URL
|
||||||
|
"http://www.cecill.info".
|
||||||
|
|
||||||
|
In this respect, the user's attention is drawn to the risks associated
|
||||||
|
with loading, using, modifying and/or developing or reproducing the
|
||||||
|
software by the user in light of its specific status of free software,
|
||||||
|
that may mean that it is complicated to manipulate, and that also
|
||||||
|
therefore means that it is reserved for developers and experienced
|
||||||
|
professionals having in-depth computer knowledge. Users are therefore
|
||||||
|
encouraged to load and test the software's suitability as regards their
|
||||||
|
requirements in conditions enabling the security of their systems and/or
|
||||||
|
data to be ensured and, more generally, to use and operate it in the
|
||||||
|
same conditions as regards security.
|
||||||
|
The fact that you are presently reading this means that you have had
|
||||||
|
knowledge of the CeCILL license and that you accept its terms.
|
||||||
|
|
||||||
|
ParadisEO WebSite : http://paradiseo.gforge.inria.fr
|
||||||
|
Contact: paradiseo-help@lists.gforge.inria.fr
|
||||||
|
*/
|
||||||
|
|
||||||
|
#ifndef _maxSATeval_h
|
||||||
|
#define _maxSATeval_h
|
||||||
|
|
||||||
|
#include <vector>
|
||||||
|
#include <eoEvalFunc.h>
|
||||||
|
|
||||||
|
/**
|
||||||
|
* Full evaluation Function for max-SAT problem
|
||||||
|
*/
|
||||||
|
template< class EOT >
|
||||||
|
class MaxSATeval : public eoEvalFunc<EOT>
|
||||||
|
{
|
||||||
|
public:
|
||||||
|
|
||||||
|
/**
|
||||||
|
* Constructor
|
||||||
|
* generate a random instance of max k-SAT problem
|
||||||
|
*
|
||||||
|
* @param _n number of variables
|
||||||
|
* @param _m number of clauses
|
||||||
|
* @param _k of litteral by clause
|
||||||
|
*/
|
||||||
|
MaxSATeval(unsigned _n, unsigned _m, unsigned _k) {
|
||||||
|
nbVar = _n;
|
||||||
|
nbClauses = _m;
|
||||||
|
nbLitteral = _k;
|
||||||
|
|
||||||
|
// creation of the clauses
|
||||||
|
clauses = new vector<int>[nbClauses];
|
||||||
|
|
||||||
|
// the variables are numbered from 1 to nbVar
|
||||||
|
variables = new vector<int>[nbVar + 1];
|
||||||
|
|
||||||
|
int var[nbVar];
|
||||||
|
unsigned i, j, ind;
|
||||||
|
|
||||||
|
// to selected nbLitteral different variables in the clauses
|
||||||
|
for(i = 0; i < nbVar; i++)
|
||||||
|
var[i] = i + 1;
|
||||||
|
|
||||||
|
int number, tmp;
|
||||||
|
|
||||||
|
// generation of the clauses
|
||||||
|
for(i = 0; i < nbClauses; i++) {
|
||||||
|
for(j = 0 ; j < nbLitteral; j++) {
|
||||||
|
// selection of the variable
|
||||||
|
ind = rng.random(nbVar - j);
|
||||||
|
number = var[ind];
|
||||||
|
|
||||||
|
// permutation for forbidd identical variables
|
||||||
|
tmp = var[ind];
|
||||||
|
var[ind] = var[nbVar - j - 1];
|
||||||
|
var[nbVar - j - 1] = tmp;
|
||||||
|
|
||||||
|
// litteral = (variable) or (not variable) ?
|
||||||
|
// negative value means not variable
|
||||||
|
if (rng.flip())
|
||||||
|
number = -number;
|
||||||
|
|
||||||
|
// variable number belong to clause i
|
||||||
|
if (number < 0)
|
||||||
|
variables[-number].push_back(-i);
|
||||||
|
else
|
||||||
|
variables[number].push_back(i);
|
||||||
|
|
||||||
|
// clause i has got the litteral number
|
||||||
|
clauses[i].push_back(number);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
}
|
||||||
|
|
||||||
|
/**
|
||||||
|
* Constructor
|
||||||
|
* instance is given in the cnf format (see dimacs)
|
||||||
|
*
|
||||||
|
* @param _fileName file name of the instance in cnf format
|
||||||
|
*/
|
||||||
|
MaxSATeval(string & _fileName) {
|
||||||
|
fstream file(_fileName.c_str(), ios::in);
|
||||||
|
|
||||||
|
if (!file) {
|
||||||
|
string str = "MaxSATeval: Could not open file [" + _fileName + "]." ;
|
||||||
|
throw runtime_error(str);
|
||||||
|
}
|
||||||
|
|
||||||
|
string s;
|
||||||
|
|
||||||
|
// commentaries
|
||||||
|
string line;
|
||||||
|
file >> s;
|
||||||
|
while (s[0] == 'c') {
|
||||||
|
getline(file,line,'\n');
|
||||||
|
file >> s;
|
||||||
|
}
|
||||||
|
|
||||||
|
// parameters
|
||||||
|
if (s[0] != 'p') {
|
||||||
|
string str = "MaxSATeval: could not read the parameters of the instance from file [" + _fileName + "]." ;
|
||||||
|
throw runtime_error(str);
|
||||||
|
}
|
||||||
|
file >> s;
|
||||||
|
if (s != "cnf") {
|
||||||
|
string str = "MaxSATeval: " + _fileName + " is not a file in cnf format.";
|
||||||
|
throw runtime_error(str);
|
||||||
|
}
|
||||||
|
|
||||||
|
file >> nbVar >> nbClauses;
|
||||||
|
nbLitteral = 0; // could be different from one clause to antoher, so no value
|
||||||
|
|
||||||
|
// creation of the clauses
|
||||||
|
clauses = new vector<int>[nbClauses];
|
||||||
|
|
||||||
|
// the variables are numbered from 1 to nbVar
|
||||||
|
variables = new vector<int>[nbVar + 1];
|
||||||
|
|
||||||
|
// read the clauses
|
||||||
|
int number;
|
||||||
|
for(unsigned i = 0; i < nbClauses; i++) {
|
||||||
|
do {
|
||||||
|
file >> number;
|
||||||
|
if (number != 0) {
|
||||||
|
clauses[i].push_back(number);
|
||||||
|
if (number < 0)
|
||||||
|
number = -number;
|
||||||
|
|
||||||
|
if (number < 0)
|
||||||
|
variables[-number].push_back(-i);
|
||||||
|
else
|
||||||
|
variables[number].push_back(i);
|
||||||
|
}
|
||||||
|
} while (number != 0);
|
||||||
|
}
|
||||||
|
|
||||||
|
file.close();
|
||||||
|
}
|
||||||
|
|
||||||
|
/**
|
||||||
|
* Destructor
|
||||||
|
*/
|
||||||
|
~MaxSATeval() {
|
||||||
|
// delete the clauses
|
||||||
|
delete[] clauses;
|
||||||
|
|
||||||
|
// delete the variables
|
||||||
|
delete[] variables;
|
||||||
|
}
|
||||||
|
|
||||||
|
/**
|
||||||
|
* export the instance to a file in cnf format
|
||||||
|
*
|
||||||
|
* @param _fileName file name to export the instance
|
||||||
|
*/
|
||||||
|
void save(string & _fileName) {
|
||||||
|
fstream file(_fileName.c_str(), ios::out);
|
||||||
|
|
||||||
|
if (!file) {
|
||||||
|
string str = "MaxSATeval: Could not open " + _fileName;
|
||||||
|
throw runtime_error(str);
|
||||||
|
}
|
||||||
|
|
||||||
|
// write some commentaries
|
||||||
|
file << "c random max k-SAT generated by maxSATeval from paradisEO framework on sourceForge" << endl;
|
||||||
|
file << "c "<< endl;
|
||||||
|
|
||||||
|
// write the parameters
|
||||||
|
file << "p cnf " << nbVar << " " << nbClauses << endl;
|
||||||
|
|
||||||
|
// write the clauses
|
||||||
|
unsigned int i, j;
|
||||||
|
|
||||||
|
for(i = 0; i < nbClauses; i++) {
|
||||||
|
j = 0;
|
||||||
|
while (j < clauses[i].size()) {
|
||||||
|
file << clauses[i][j] << " ";
|
||||||
|
j++;
|
||||||
|
}
|
||||||
|
file << "0" << std::endl;
|
||||||
|
}
|
||||||
|
|
||||||
|
file.close();
|
||||||
|
}
|
||||||
|
|
||||||
|
/**
|
||||||
|
* evaluation the clause
|
||||||
|
*
|
||||||
|
* @param _n number of the given clause
|
||||||
|
* @param _solution the solution to evaluation
|
||||||
|
* @return true when the clause is true
|
||||||
|
*/
|
||||||
|
bool clauseEval(unsigned int _n, EOT & _solution) {
|
||||||
|
unsigned nLitteral = clauses[_n].size();
|
||||||
|
int litteral;
|
||||||
|
|
||||||
|
bool clause = false;
|
||||||
|
|
||||||
|
unsigned int j = 0;
|
||||||
|
while (j < nLitteral && !clause) {
|
||||||
|
litteral = clauses[_n][j];
|
||||||
|
clause = ((litteral > 0) && _solution[litteral - 1]) || ((litteral < 0) && !(_solution[-litteral - 1]));
|
||||||
|
|
||||||
|
j++;
|
||||||
|
}
|
||||||
|
|
||||||
|
return clause;
|
||||||
|
}
|
||||||
|
|
||||||
|
/**
|
||||||
|
* fitness evaluation of the solution
|
||||||
|
*
|
||||||
|
* @param _solution the solution to evaluation
|
||||||
|
*/
|
||||||
|
virtual void operator()(EOT & _solution) {
|
||||||
|
unsigned int fit = 0;
|
||||||
|
|
||||||
|
for(unsigned i = 0; i < nbClauses; i++)
|
||||||
|
if (clauseEval(i, _solution))
|
||||||
|
fit++;
|
||||||
|
|
||||||
|
_solution.fitness(fit);
|
||||||
|
}
|
||||||
|
|
||||||
|
/**
|
||||||
|
* Public variables (used in incremental evaluation)
|
||||||
|
*/
|
||||||
|
|
||||||
|
// number of variables
|
||||||
|
unsigned int nbVar;
|
||||||
|
// number of clauses
|
||||||
|
unsigned int nbClauses;
|
||||||
|
// number of litteral by clause (0 when the instance is read from file)
|
||||||
|
unsigned int nbLitteral;
|
||||||
|
|
||||||
|
// list of clauses:
|
||||||
|
// each clause has the number of the variable (from 1 to nbVar)
|
||||||
|
// when the value is negative, litteral = not(variable)
|
||||||
|
vector<int> * clauses;
|
||||||
|
|
||||||
|
// list of variables:
|
||||||
|
// for each variable, the list of clauses
|
||||||
|
// when the value is negative, litteral = not(variable) in this clause
|
||||||
|
vector<int> * variables;
|
||||||
|
|
||||||
|
};
|
||||||
|
|
||||||
|
#endif
|
||||||
Loading…
Add table
Add a link
Reference in a new issue