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/****************************************************************************** |
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* Top contributors (to current version): |
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* MikolasJanota, Andrew Reynolds |
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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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* Implementation of an enumeration of tuples of terms for the purpose of |
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* quantifier instantiation. |
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*/ |
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#include "theory/quantifiers/term_tuple_enumerator.h" |
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|
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#include <algorithm> |
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#include <functional> |
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#include <iterator> |
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#include <map> |
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#include <vector> |
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|
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#include "base/map_util.h" |
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#include "base/output.h" |
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#include "options/quantifiers_options.h" |
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#include "smt/smt_statistics_registry.h" |
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#include "theory/quantifiers/index_trie.h" |
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#include "theory/quantifiers/quant_module.h" |
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#include "theory/quantifiers/relevant_domain.h" |
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#include "theory/quantifiers/term_pools.h" |
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#include "theory/quantifiers/term_registry.h" |
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#include "theory/quantifiers/term_util.h" |
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#include "util/statistics_stats.h" |
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|
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namespace cvc5 { |
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|
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template <typename T> |
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static Cvc5ostream& operator<<(Cvc5ostream& out, const std::vector<T>& v) |
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{ |
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3795 |
out << "[ "; |
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std::copy(v.begin(), v.end(), std::ostream_iterator<T>(out, " ")); |
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return out << "]"; |
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} |
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|
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/** Tracing purposes, printing a masked vector of indices. */ |
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static void traceMaskedVector(const char* trace, |
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const char* name, |
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const std::vector<bool>& mask, |
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const std::vector<size_t>& values) |
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{ |
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Assert(mask.size() == values.size()); |
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Trace(trace) << name << " [ "; |
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for (size_t variableIx = 0; variableIx < mask.size(); variableIx++) |
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{ |
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if (mask[variableIx]) |
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{ |
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Trace(trace) << values[variableIx] << " "; |
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} |
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else |
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{ |
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Trace(trace) << "_ "; |
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} |
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} |
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Trace(trace) << "]" << std::endl; |
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} |
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|
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namespace theory { |
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namespace quantifiers { |
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/** |
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* Base class for enumerators of tuples of terms for the purpose of |
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* quantification instantiation. The tuples are represented as tuples of |
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* indices of terms, where the tuple has as many elements as there are |
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* quantified variables in the considered quantifier. |
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* |
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* Like so, we see a tuple as a number, where the digits may have different |
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* ranges. The most significant digits are stored first. |
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* |
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* Tuples are enumerated in a lexicographic order in stages. There are 2 |
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* possible strategies, either all tuples in a given stage have the same sum of |
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* digits, or, the maximum over these digits is the same. |
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* */ |
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class TermTupleEnumeratorBase : public TermTupleEnumeratorInterface |
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{ |
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public: |
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/** Initialize the class with the quantifier to be instantiated. */ |
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TermTupleEnumeratorBase(Node quantifier, const TermTupleEnumeratorEnv* env) |
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: d_quantifier(quantifier), |
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d_variableCount(d_quantifier[0].getNumChildren()), |
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d_env(env), |
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d_stepCounter(0), |
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d_disabledCombinations( |
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true) // do not record combinations with no blanks |
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|
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{ |
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d_changePrefix = d_variableCount; |
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} |
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|
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virtual ~TermTupleEnumeratorBase() = default; |
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|
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// implementation of the TermTupleEnumeratorInterface |
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virtual void init() override; |
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virtual bool hasNext() override; |
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virtual void next(/*out*/ std::vector<Node>& terms) override; |
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virtual void failureReason(const std::vector<bool>& mask) override; |
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// end of implementation of the TermTupleEnumeratorInterface |
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|
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protected: |
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/** the quantifier whose variables are being instantiated */ |
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const Node d_quantifier; |
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/** number of variables in the quantifier */ |
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const size_t d_variableCount; |
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/** env of structures with a longer lifespan */ |
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const TermTupleEnumeratorEnv* const d_env; |
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/** type for each variable */ |
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std::vector<TypeNode> d_typeCache; |
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/** number of candidate terms for each variable */ |
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std::vector<size_t> d_termsSizes; |
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/** tuple of indices of the current terms */ |
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std::vector<size_t> d_termIndex; |
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/** total number of steps of the enumerator */ |
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uint32_t d_stepCounter; |
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|
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/** a data structure storing disabled combinations of terms */ |
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IndexTrie d_disabledCombinations; |
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|
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/** current sum/max of digits, depending on the strategy */ |
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size_t d_currentStage; |
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/**total number of stages*/ |
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size_t d_stageCount; |
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/**becomes false once the enumerator runs out of options*/ |
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bool d_hasNext; |
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/** the length of the prefix that has to be changed in the next |
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combination, i.e. the number of the most significant digits that need to be |
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changed in order to escape a useless instantiation */ |
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size_t d_changePrefix; |
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/** Move onto the next stage */ |
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bool increaseStage(); |
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/** Move onto the next stage, sum strategy. */ |
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bool increaseStageSum(); |
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/** Move onto the next stage, max strategy. */ |
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bool increaseStageMax(); |
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/** Move on in the current stage */ |
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bool nextCombination(); |
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/** Move onto the next combination. */ |
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bool nextCombinationInternal(); |
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/** Find the next lexicographically smallest combination of terms that change |
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* on the change prefix, each digit is within the current state, and there is |
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* at least one digit not in the previous stage. */ |
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bool nextCombinationSum(); |
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/** Find the next lexicographically smallest combination of terms that change |
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* on the change prefix and their sum is equal to d_currentStage. */ |
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bool nextCombinationMax(); |
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/** Set up terms for given variable. */ |
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virtual size_t prepareTerms(size_t variableIx) = 0; |
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/** Get a given term for a given variable. */ |
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virtual Node getTerm(size_t variableIx, |
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size_t term_index) CVC5_WARN_UNUSED_RESULT = 0; |
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}; |
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|
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/** |
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* Enumerate ground terms as they come from the term database. |
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*/ |
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class TermTupleEnumeratorBasic : public TermTupleEnumeratorBase |
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{ |
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public: |
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TermTupleEnumeratorBasic(Node quantifier, |
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const TermTupleEnumeratorEnv* env, |
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QuantifiersState& qs, |
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TermDb* td) |
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: TermTupleEnumeratorBase(quantifier, env), d_qs(qs), d_tdb(td) |
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{ |
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} |
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|
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virtual ~TermTupleEnumeratorBasic() = default; |
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|
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protected: |
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/** a list of terms for each type */ |
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std::map<TypeNode, std::vector<Node> > d_termDbList; |
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virtual size_t prepareTerms(size_t variableIx) override; |
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virtual Node getTerm(size_t variableIx, size_t term_index) override; |
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/** Reference to quantifiers state */ |
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QuantifiersState& d_qs; |
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/** Pointer to term database */ |
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TermDb* d_tdb; |
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}; |
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|
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/** |
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* Enumerate ground terms according to the relevant domain class. |
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*/ |
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class TermTupleEnumeratorRD : public TermTupleEnumeratorBase |
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{ |
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public: |
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TermTupleEnumeratorRD(Node quantifier, |
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const TermTupleEnumeratorEnv* env, |
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RelevantDomain* rd) |
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: TermTupleEnumeratorBase(quantifier, env), d_rd(rd) |
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{ |
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} |
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virtual ~TermTupleEnumeratorRD() = default; |
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|
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protected: |
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virtual size_t prepareTerms(size_t variableIx) override |
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{ |
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return d_rd->getRDomain(d_quantifier, variableIx)->d_terms.size(); |
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} |
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virtual Node getTerm(size_t variableIx, size_t term_index) override |
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{ |
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return d_rd->getRDomain(d_quantifier, variableIx)->d_terms[term_index]; |
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} |
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/** The relevant domain */ |
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RelevantDomain* d_rd; |
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}; |
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|
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void TermTupleEnumeratorBase::init() |
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{ |
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Trace("inst-alg-rd") << "Initializing enumeration " << d_quantifier |
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<< std::endl; |
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d_currentStage = 0; |
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d_hasNext = true; |
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d_stageCount = 1; // in the case of full effort we do at least one stage |
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|
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if (d_variableCount == 0) |
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{ |
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d_hasNext = false; |
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return; |
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} |
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|
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// prepare a sequence of terms for each quantified variable |
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// additionally initialize the cache for variable types |
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for (size_t variableIx = 0; variableIx < d_variableCount; variableIx++) |
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{ |
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d_typeCache.push_back(d_quantifier[0][variableIx].getType()); |
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const size_t termsSize = prepareTerms(variableIx); |
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Trace("inst-alg-rd") << "Variable " << variableIx << " has " << termsSize |
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<< " in relevant domain." << std::endl; |
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if (termsSize == 0 && !d_env->d_fullEffort) |
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{ |
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d_hasNext = false; |
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return; // give up on an empty dommain |
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} |
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d_termsSizes.push_back(termsSize); |
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d_stageCount = std::max(d_stageCount, termsSize); |
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} |
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|
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Trace("inst-alg-rd") << "Will do " << d_stageCount |
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<< " stages of instantiation." << std::endl; |
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d_termIndex.resize(d_variableCount, 0); |
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} |
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|
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bool TermTupleEnumeratorBase::hasNext() |
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{ |
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if (!d_hasNext) |
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{ |
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return false; |
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} |
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|
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if (d_stepCounter++ == 0) |
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{ // TODO:any (nice) way of avoiding this special if? |
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Assert(d_currentStage == 0); |
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Trace("inst-alg-rd") << "Try stage " << d_currentStage << "..." |
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<< std::endl; |
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return true; |
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} |
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|
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// try to find the next combination |
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return d_hasNext = nextCombination(); |
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} |
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|
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void TermTupleEnumeratorBase::failureReason(const std::vector<bool>& mask) |
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{ |
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if (Trace.isOn("inst-alg")) |
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{ |
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traceMaskedVector("inst-alg", "failureReason", mask, d_termIndex); |
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} |
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d_disabledCombinations.add(mask, d_termIndex); // record failure |
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// update change prefix accordingly |
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for (d_changePrefix = mask.size(); |
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d_changePrefix && !mask[d_changePrefix - 1]; |
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d_changePrefix--) |
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; |
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} |
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|
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void TermTupleEnumeratorBase::next(/*out*/ std::vector<Node>& terms) |
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{ |
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Trace("inst-alg-rd") << "Try instantiation: " << d_termIndex << std::endl; |
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terms.resize(d_variableCount); |
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for (size_t variableIx = 0; variableIx < d_variableCount; variableIx++) |
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{ |
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const Node t = d_termsSizes[variableIx] == 0 |
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? Node::null() |
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: getTerm(variableIx, d_termIndex[variableIx]); |
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terms[variableIx] = t; |
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Trace("inst-alg-rd") << t << " "; |
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Assert(terms[variableIx].isNull() |
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|| terms[variableIx].getType().isComparableTo( |
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d_quantifier[0][variableIx].getType())); |
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} |
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Trace("inst-alg-rd") << std::endl; |
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} |
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|
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bool TermTupleEnumeratorBase::increaseStageSum() |
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{ |
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const size_t lowerBound = d_currentStage + 1; |
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Trace("inst-alg-rd") << "Try sum " << lowerBound << "..." << std::endl; |
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d_currentStage = 0; |
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for (size_t digit = d_termIndex.size(); |
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d_currentStage < lowerBound && digit--;) |
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{ |
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const size_t missing = lowerBound - d_currentStage; |
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const size_t maxValue = d_termsSizes[digit] ? d_termsSizes[digit] - 1 : 0; |
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d_termIndex[digit] = std::min(missing, maxValue); |
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d_currentStage += d_termIndex[digit]; |
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} |
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return d_currentStage >= lowerBound; |
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} |
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|
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bool TermTupleEnumeratorBase::increaseStage() |
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{ |
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d_changePrefix = d_variableCount; // simply reset upon increase stage |
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return d_env->d_increaseSum ? increaseStageSum() : increaseStageMax(); |
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} |
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|
324 |
1622 |
bool TermTupleEnumeratorBase::increaseStageMax() |
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{ |
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d_currentStage++; |
327 |
1622 |
if (d_currentStage >= d_stageCount) |
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{ |
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return false; |
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} |
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Trace("inst-alg-rd") << "Try stage " << d_currentStage << "..." << std::endl; |
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// skipping some elements that have already been definitely seen |
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// find the least significant digit that can be set to the current stage |
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// TODO: should we skip all? |
335 |
1135 |
std::fill(d_termIndex.begin(), d_termIndex.end(), 0); |
336 |
1135 |
bool found = false; |
337 |
2813 |
for (size_t digit = d_termIndex.size(); !found && digit--;) |
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{ |
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1678 |
if (d_termsSizes[digit] > d_currentStage) |
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{ |
341 |
1135 |
found = true; |
342 |
1135 |
d_termIndex[digit] = d_currentStage; |
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} |
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} |
345 |
1135 |
Assert(found); |
346 |
1135 |
return found; |
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} |
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|
349 |
2932 |
bool TermTupleEnumeratorBase::nextCombination() |
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{ |
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while (true) |
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{ |
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3212 |
Trace("inst-alg-rd") << "changePrefix " << d_changePrefix << std::endl; |
354 |
2932 |
if (!nextCombinationInternal() && !increaseStage()) |
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{ |
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487 |
return false; // ran out of combinations |
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} |
358 |
2445 |
if (!d_disabledCombinations.find(d_termIndex, d_changePrefix)) |
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{ |
360 |
2165 |
return true; // current combination vetted by disabled combinations |
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} |
362 |
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} |
363 |
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} |
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|
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/** Move onto the next combination, depending on the strategy. */ |
366 |
2932 |
bool TermTupleEnumeratorBase::nextCombinationInternal() |
367 |
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{ |
368 |
2932 |
return d_env->d_increaseSum ? nextCombinationSum() : nextCombinationMax(); |
369 |
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} |
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|
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/** Find the next lexicographically smallest combination of terms that change |
372 |
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* on the change prefix and their sum is equal to d_currentStage. */ |
373 |
2932 |
bool TermTupleEnumeratorBase::nextCombinationMax() |
374 |
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{ |
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// look for the least significant digit, within change prefix, |
376 |
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// that can be increased |
377 |
2932 |
bool found = false; |
378 |
2932 |
size_t increaseDigit = d_changePrefix; |
379 |
18974 |
while (!found && increaseDigit--) |
380 |
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{ |
381 |
8021 |
const size_t new_value = d_termIndex[increaseDigit] + 1; |
382 |
8021 |
if (new_value < d_termsSizes[increaseDigit] && new_value <= d_currentStage) |
383 |
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{ |
384 |
1310 |
d_termIndex[increaseDigit] = new_value; |
385 |
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// send everything after the increased digit to 0 |
386 |
1310 |
std::fill(d_termIndex.begin() + increaseDigit + 1, d_termIndex.end(), 0); |
387 |
1310 |
found = true; |
388 |
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} |
389 |
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} |
390 |
2932 |
if (!found) |
391 |
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{ |
392 |
1622 |
return false; // nothing to increase |
393 |
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} |
394 |
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// check if the combination has at least one digit in the current stage, |
395 |
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// since at least one digit was increased, no need for this in stage 1 |
396 |
1310 |
bool inStage = d_currentStage <= 1; |
397 |
1909 |
for (size_t i = increaseDigit + 1; !inStage && i--;) |
398 |
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{ |
399 |
599 |
inStage = d_termIndex[i] >= d_currentStage; |
400 |
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} |
401 |
1310 |
if (!inStage) // look for a digit that can increase to current stage |
402 |
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{ |
403 |
204 |
for (increaseDigit = d_variableCount, found = false; |
404 |
204 |
!found && increaseDigit--;) |
405 |
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{ |
406 |
102 |
found = d_termsSizes[increaseDigit] > d_currentStage; |
407 |
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} |
408 |
102 |
if (!found) |
409 |
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{ |
410 |
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return false; // nothing to increase to the current stage |
411 |
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} |
412 |
102 |
Assert(d_termsSizes[increaseDigit] > d_currentStage |
413 |
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&& d_termIndex[increaseDigit] < d_currentStage); |
414 |
102 |
d_termIndex[increaseDigit] = d_currentStage; |
415 |
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// send everything after the increased digit to 0 |
416 |
102 |
std::fill(d_termIndex.begin() + increaseDigit + 1, d_termIndex.end(), 0); |
417 |
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} |
418 |
1310 |
return true; |
419 |
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} |
420 |
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|
421 |
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/** Find the next lexicographically smallest combination of terms that change |
422 |
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* on the change prefix, each digit is within the current state, and there is |
423 |
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* at least one digit not in the previous stage. */ |
424 |
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bool TermTupleEnumeratorBase::nextCombinationSum() |
425 |
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{ |
426 |
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size_t suffixSum = 0; |
427 |
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bool found = false; |
428 |
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size_t increaseDigit = d_termIndex.size(); |
429 |
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while (increaseDigit--) |
430 |
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{ |
431 |
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const size_t newValue = d_termIndex[increaseDigit] + 1; |
432 |
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found = suffixSum > 0 && newValue < d_termsSizes[increaseDigit] |
433 |
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&& increaseDigit < d_changePrefix; |
434 |
|
if (found) |
435 |
|
{ |
436 |
|
// digit can be increased and suffix can be decreased |
437 |
|
d_termIndex[increaseDigit] = newValue; |
438 |
|
break; |
439 |
|
} |
440 |
|
suffixSum += d_termIndex[increaseDigit]; |
441 |
|
d_termIndex[increaseDigit] = 0; |
442 |
|
} |
443 |
|
if (!found) |
444 |
|
{ |
445 |
|
return false; |
446 |
|
} |
447 |
|
Assert(suffixSum > 0); |
448 |
|
// increaseDigit went up by one, hence, distribute (suffixSum - 1) in the |
449 |
|
// least significant digits |
450 |
|
suffixSum--; |
451 |
|
for (size_t digit = d_termIndex.size(); suffixSum > 0 && digit--;) |
452 |
|
{ |
453 |
|
const size_t maxValue = d_termsSizes[digit] ? d_termsSizes[digit] - 1 : 0; |
454 |
|
d_termIndex[digit] = std::min(suffixSum, maxValue); |
455 |
|
suffixSum -= d_termIndex[digit]; |
456 |
|
} |
457 |
|
Assert(suffixSum == 0); // everything should have been distributed |
458 |
|
return true; |
459 |
|
} |
460 |
|
|
461 |
342 |
size_t TermTupleEnumeratorBasic::prepareTerms(size_t variableIx) |
462 |
|
{ |
463 |
684 |
const TypeNode type_node = d_typeCache[variableIx]; |
464 |
342 |
if (!ContainsKey(d_termDbList, type_node)) |
465 |
|
{ |
466 |
248 |
const size_t ground_terms_count = d_tdb->getNumTypeGroundTerms(type_node); |
467 |
496 |
std::map<Node, Node> repsFound; |
468 |
10494 |
for (size_t j = 0; j < ground_terms_count; j++) |
469 |
|
{ |
470 |
20492 |
Node gt = d_tdb->getTypeGroundTerm(type_node, j); |
471 |
10246 |
if (!options::cegqi() || !quantifiers::TermUtil::hasInstConstAttr(gt)) |
472 |
|
{ |
473 |
20492 |
Node rep = d_qs.getRepresentative(gt); |
474 |
10246 |
if (repsFound.find(rep) == repsFound.end()) |
475 |
|
{ |
476 |
891 |
repsFound[rep] = gt; |
477 |
891 |
d_termDbList[type_node].push_back(gt); |
478 |
|
} |
479 |
|
} |
480 |
|
} |
481 |
|
} |
482 |
|
|
483 |
684 |
Trace("inst-alg-rd") << "Instantiation Terms for child " << variableIx << ": " |
484 |
342 |
<< d_termDbList[type_node] << std::endl; |
485 |
684 |
return d_termDbList[type_node].size(); |
486 |
|
} |
487 |
|
|
488 |
1831 |
Node TermTupleEnumeratorBasic::getTerm(size_t variableIx, size_t term_index) |
489 |
|
{ |
490 |
3662 |
const TypeNode type_node = d_typeCache[variableIx]; |
491 |
1831 |
Assert(term_index < d_termDbList[type_node].size()); |
492 |
3662 |
return d_termDbList[type_node][term_index]; |
493 |
|
} |
494 |
|
|
495 |
|
/** |
496 |
|
* Enumerate ground terms as they come from a user-provided term pool |
497 |
|
*/ |
498 |
|
class TermTupleEnumeratorPool : public TermTupleEnumeratorBase |
499 |
|
{ |
500 |
|
public: |
501 |
4 |
TermTupleEnumeratorPool(Node quantifier, |
502 |
|
const TermTupleEnumeratorEnv* env, |
503 |
|
TermPools* tp, |
504 |
|
Node pool) |
505 |
4 |
: TermTupleEnumeratorBase(quantifier, env), d_tp(tp), d_pool(pool) |
506 |
|
{ |
507 |
4 |
Assert(d_pool.getKind() == kind::INST_POOL); |
508 |
4 |
} |
509 |
|
|
510 |
8 |
virtual ~TermTupleEnumeratorPool() = default; |
511 |
|
|
512 |
|
protected: |
513 |
|
/** Pointer to the term pool utility */ |
514 |
|
TermPools* d_tp; |
515 |
|
/** The pool annotation */ |
516 |
|
Node d_pool; |
517 |
|
/** a list of terms for each id */ |
518 |
|
std::map<size_t, std::vector<Node> > d_poolList; |
519 |
|
/** gets the terms from the pool */ |
520 |
4 |
size_t prepareTerms(size_t variableIx) override |
521 |
|
{ |
522 |
4 |
Assert(d_pool.getNumChildren() > variableIx); |
523 |
|
// prepare terms from pool |
524 |
4 |
d_poolList[variableIx].clear(); |
525 |
4 |
d_tp->getTermsForPool(d_pool[variableIx], d_poolList[variableIx]); |
526 |
8 |
Trace("pool-inst") << "Instantiation Terms for child " << variableIx << ": " |
527 |
4 |
<< d_poolList[variableIx] << std::endl; |
528 |
4 |
return d_poolList[variableIx].size(); |
529 |
|
} |
530 |
8 |
Node getTerm(size_t variableIx, size_t term_index) override |
531 |
|
{ |
532 |
8 |
Assert(term_index < d_poolList[variableIx].size()); |
533 |
8 |
return d_poolList[variableIx][term_index]; |
534 |
|
} |
535 |
|
}; |
536 |
|
|
537 |
220 |
TermTupleEnumeratorInterface* mkTermTupleEnumerator( |
538 |
|
Node q, const TermTupleEnumeratorEnv* env, QuantifiersState& qs, TermDb* td) |
539 |
|
{ |
540 |
|
return static_cast<TermTupleEnumeratorInterface*>( |
541 |
220 |
new TermTupleEnumeratorBasic(q, env, qs, td)); |
542 |
|
} |
543 |
1060 |
TermTupleEnumeratorInterface* mkTermTupleEnumeratorRd( |
544 |
|
Node q, const TermTupleEnumeratorEnv* env, RelevantDomain* rd) |
545 |
|
{ |
546 |
|
return static_cast<TermTupleEnumeratorInterface*>( |
547 |
1060 |
new TermTupleEnumeratorRD(q, env, rd)); |
548 |
|
} |
549 |
|
|
550 |
4 |
TermTupleEnumeratorInterface* mkTermTupleEnumeratorPool( |
551 |
|
Node q, const TermTupleEnumeratorEnv* env, TermPools* tp, Node pool) |
552 |
|
{ |
553 |
|
return static_cast<TermTupleEnumeratorInterface*>( |
554 |
4 |
new TermTupleEnumeratorPool(q, env, tp, pool)); |
555 |
|
} |
556 |
|
|
557 |
|
} // namespace quantifiers |
558 |
|
} // namespace theory |
559 |
29337 |
} // namespace cvc5 |