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/****************************************************************************** |
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* Top contributors (to current version): |
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* Tim King, Aina Niemetz, Morgan Deters |
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* |
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* This file is part of the cvc5 project. |
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* |
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* Copyright (c) 2009-2021 by the authors listed in the file AUTHORS |
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* in the top-level source directory and their institutional affiliations. |
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* All rights reserved. See the file COPYING in the top-level source |
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* directory for licensing information. |
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* **************************************************************************** |
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* |
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* This is an implementation of the Simplex Module for the Simplex for |
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* DPLL(T) decision procedure. |
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*/ |
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#include "theory/arith/dual_simplex.h" |
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#include "base/output.h" |
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#include "options/arith_options.h" |
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#include "smt/env.h" |
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#include "smt/smt_statistics_registry.h" |
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#include "theory/arith/constraint.h" |
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#include "theory/arith/error_set.h" |
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#include "theory/arith/linear_equality.h" |
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using namespace std; |
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namespace cvc5 { |
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namespace theory { |
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namespace arith { |
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DualSimplexDecisionProcedure::DualSimplexDecisionProcedure( |
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Env& env, |
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LinearEqualityModule& linEq, |
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ErrorSet& errors, |
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RaiseConflict conflictChannel, |
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TempVarMalloc tvmalloc) |
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: SimplexDecisionProcedure(env, linEq, errors, conflictChannel, tvmalloc), |
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d_pivotsInRound(), |
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d_statistics(d_pivots) |
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{ } |
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DualSimplexDecisionProcedure::Statistics::Statistics(uint32_t& pivots) |
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: d_statUpdateConflicts(smtStatisticsRegistry().registerInt( |
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"theory::arith::dual::UpdateConflicts")), |
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d_processSignalsTime(smtStatisticsRegistry().registerTimer( |
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"theory::arith::dual::findConflictOnTheQueueTime")), |
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d_simplexConflicts(smtStatisticsRegistry().registerInt( |
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"theory::arith::dual::simplexConflicts")), |
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d_recentViolationCatches(smtStatisticsRegistry().registerInt( |
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"theory::arith::dual::recentViolationCatches")), |
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d_searchTime(smtStatisticsRegistry().registerTimer( |
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"theory::arith::dual::searchTime")), |
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d_finalCheckPivotCounter( |
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smtStatisticsRegistry().registerReference<uint32_t>( |
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"theory::arith::dual::lastPivots", pivots)) |
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{ |
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} |
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Result::Sat DualSimplexDecisionProcedure::dualFindModel(bool exactResult){ |
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Assert(d_conflictVariables.empty()); |
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static thread_local unsigned int instance = 0; |
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instance = instance + 1; |
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d_pivots = 0; |
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if(d_errorSet.errorEmpty() && !d_errorSet.moreSignals()){ |
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Debug("arith::findModel") << "dualFindModel("<< instance <<") trivial" << endl; |
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return Result::SAT; |
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} |
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// We need to reduce this because of |
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d_errorSet.reduceToSignals(); |
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d_errorSet.setSelectionRule(options::ErrorSelectionRule::VAR_ORDER); |
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if(processSignals()){ |
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d_conflictVariables.purge(); |
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Debug("arith::findModel") << "dualFindModel("<< instance <<") early conflict" << endl; |
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return Result::UNSAT; |
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}else if(d_errorSet.errorEmpty()){ |
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Debug("arith::findModel") << "dualFindModel("<< instance <<") fixed itself" << endl; |
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Assert(!d_errorSet.moreSignals()); |
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return Result::SAT; |
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} |
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Debug("arith::findModel") << "dualFindModel(" << instance <<") start non-trivial" << endl; |
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Result::Sat result = Result::SAT_UNKNOWN; |
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exactResult |= d_varOrderPivotLimit < 0; |
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uint32_t checkPeriod = options().arith.arithSimplexCheckPeriod; |
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if(result == Result::SAT_UNKNOWN){ |
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uint32_t numDifferencePivots = options().arith.arithHeuristicPivots < 0 |
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? d_numVariables + 1 |
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: options().arith.arithHeuristicPivots; |
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// The signed to unsigned conversion is safe. |
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if(numDifferencePivots > 0){ |
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d_errorSet.setSelectionRule(d_heuristicRule); |
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if(searchForFeasibleSolution(numDifferencePivots)){ |
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result = Result::UNSAT; |
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} |
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} |
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} |
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Assert(!d_errorSet.moreSignals()); |
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if(!d_errorSet.errorEmpty() && result != Result::UNSAT){ |
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if(exactResult){ |
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d_errorSet.setSelectionRule(options::ErrorSelectionRule::VAR_ORDER); |
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while(!d_errorSet.errorEmpty() && result != Result::UNSAT){ |
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Assert(checkPeriod > 0); |
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if(searchForFeasibleSolution(checkPeriod)){ |
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result = Result::UNSAT; |
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} |
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} |
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} |
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else if (d_varOrderPivotLimit > 0) |
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{ |
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d_errorSet.setSelectionRule(options::ErrorSelectionRule::VAR_ORDER); |
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if (searchForFeasibleSolution(d_varOrderPivotLimit)) |
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{ |
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result = Result::UNSAT; |
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} |
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} |
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} |
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Assert(!d_errorSet.moreSignals()); |
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if(result == Result::SAT_UNKNOWN && d_errorSet.errorEmpty()){ |
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result = Result::SAT; |
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} |
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d_pivotsInRound.purge(); |
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// ensure that the conflict variable is still in the queue. |
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d_conflictVariables.purge(); |
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Debug("arith::findModel") << "end findModel() " << instance << " " << result << endl; |
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return result; |
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} |
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//corresponds to Check() in dM06 |
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//template <SimplexDecisionProcedure::PreferenceFunction pf> |
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bool DualSimplexDecisionProcedure::searchForFeasibleSolution(uint32_t remainingIterations){ |
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TimerStat::CodeTimer codeTimer(d_statistics.d_searchTime); |
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Debug("arith") << "searchForFeasibleSolution" << endl; |
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Assert(remainingIterations > 0); |
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while(remainingIterations > 0 && !d_errorSet.focusEmpty()){ |
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if(Debug.isOn("paranoid:check_tableau")){ d_linEq.debugCheckTableau(); } |
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Assert(d_conflictVariables.empty()); |
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ArithVar x_i = d_errorSet.topFocusVariable(); |
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Debug("arith::update::select") << "selectSmallestInconsistentVar()=" << x_i << endl; |
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if(x_i == ARITHVAR_SENTINEL){ |
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Debug("arith::update") << "No inconsistent variables" << endl; |
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return false; //sat |
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} |
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--remainingIterations; |
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bool useVarOrderPivot = |
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d_pivotsInRound.count(x_i) >= options().arith.arithPivotThreshold; |
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if(!useVarOrderPivot){ |
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d_pivotsInRound.add(x_i); |
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} |
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Debug("arith::update") << "pivots in rounds: " << d_pivotsInRound.count(x_i) |
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<< " use " << useVarOrderPivot << " threshold " |
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<< options().arith.arithPivotThreshold << std::endl; |
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LinearEqualityModule::VarPreferenceFunction pf = useVarOrderPivot ? |
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&LinearEqualityModule::minVarOrder : &LinearEqualityModule::minBoundAndColLength; |
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//DeltaRational beta_i = d_variables.getAssignment(x_i); |
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ArithVar x_j = ARITHVAR_SENTINEL; |
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int32_t prevErrorSize CVC5_UNUSED = d_errorSet.errorSize(); |
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if(d_variables.cmpAssignmentLowerBound(x_i) < 0 ){ |
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x_j = d_linEq.selectSlackUpperBound(x_i, pf); |
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if(x_j == ARITHVAR_SENTINEL ){ |
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Unreachable(); |
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// ++(d_statistics.d_statUpdateConflicts); |
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// reportConflict(x_i); |
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// ++(d_statistics.d_simplexConflicts); |
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// Node conflict = d_linEq.generateConflictBelowLowerBound(x_i); //unsat |
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// d_conflictVariable = x_i; |
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// reportConflict(conflict); |
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// return true; |
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}else{ |
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const DeltaRational& l_i = d_variables.getLowerBound(x_i); |
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d_linEq.pivotAndUpdate(x_i, x_j, l_i); |
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} |
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}else if(d_variables.cmpAssignmentUpperBound(x_i) > 0){ |
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x_j = d_linEq.selectSlackLowerBound(x_i, pf); |
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if(x_j == ARITHVAR_SENTINEL ){ |
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Unreachable(); |
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// ++(d_statistics.d_statUpdateConflicts); |
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// reportConflict(x_i); |
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// ++(d_statistics.d_simplexConflicts); |
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// Node conflict = d_linEq.generateConflictAboveUpperBound(x_i); //unsat |
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// d_conflictVariable = x_i; |
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// reportConflict(conflict); |
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// return true; |
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}else{ |
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const DeltaRational& u_i = d_variables.getUpperBound(x_i); |
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d_linEq.pivotAndUpdate(x_i, x_j, u_i); |
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} |
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} |
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Assert(x_j != ARITHVAR_SENTINEL); |
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bool conflict = processSignals(); |
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int32_t currErrorSize CVC5_UNUSED = d_errorSet.errorSize(); |
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d_pivots++; |
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if(Debug.isOn("arith::dual")){ |
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Debug("arith::dual") |
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<< "#" << d_pivots |
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<< " c" << conflict |
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<< " d" << (prevErrorSize - currErrorSize) |
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<< " f" << d_errorSet.inError(x_j) |
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<< " h" << d_conflictVariables.isMember(x_j) |
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<< " " << x_i << "->" << x_j |
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<< endl; |
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} |
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if(conflict){ |
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return true; |
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} |
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} |
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Assert(!d_errorSet.focusEmpty() || d_errorSet.errorEmpty()); |
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Assert(remainingIterations == 0 || d_errorSet.focusEmpty()); |
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Assert(d_errorSet.noSignals()); |
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return false; |
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} |
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} // namespace arith |
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} // namespace theory |
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} // namespace cvc5 |