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/****************************************************************************** |
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* Top contributors (to current version): |
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* Mathias Preiner, Andrew Reynolds, Haniel Barbosa |
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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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* Theory of bit-vectors. |
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*/ |
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#include "theory/bv/theory_bv.h" |
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#include "options/bv_options.h" |
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#include "options/smt_options.h" |
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#include "proof/proof_checker.h" |
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#include "smt/smt_statistics_registry.h" |
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#include "theory/bv/bv_solver_bitblast.h" |
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#include "theory/bv/bv_solver_bitblast_internal.h" |
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#include "theory/bv/theory_bv_rewrite_rules_normalization.h" |
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#include "theory/bv/theory_bv_rewrite_rules_simplification.h" |
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#include "theory/bv/theory_bv_utils.h" |
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#include "theory/ee_setup_info.h" |
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#include "theory/trust_substitutions.h" |
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#include "theory/uf/equality_engine.h" |
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namespace cvc5 { |
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namespace theory { |
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namespace bv { |
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|
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15273 |
TheoryBV::TheoryBV(Env& env, |
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OutputChannel& out, |
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Valuation valuation, |
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15273 |
std::string name) |
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: Theory(THEORY_BV, env, out, valuation, name), |
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d_internal(nullptr), |
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d_rewriter(), |
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d_state(env, valuation), |
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d_im(env, *this, d_state, "theory::bv::"), |
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d_notify(d_im), |
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d_invalidateModelCache(context(), true), |
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15273 |
d_stats(statisticsRegistry(), "theory::bv::") |
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{ |
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15273 |
switch (options().bv.bvSolver) |
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{ |
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7289 |
case options::BVSolver::BITBLAST: |
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7289 |
d_internal.reset(new BVSolverBitblast(env, &d_state, d_im, d_pnm)); |
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7289 |
break; |
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|
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7984 |
default: |
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AlwaysAssert(options().bv.bvSolver == options::BVSolver::BITBLAST_INTERNAL); |
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15968 |
d_internal.reset( |
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7984 |
new BVSolverBitblastInternal(d_env, &d_state, d_im, d_pnm)); |
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} |
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15273 |
d_theoryState = &d_state; |
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15273 |
d_inferManager = &d_im; |
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15273 |
} |
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TheoryBV::~TheoryBV() {} |
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|
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15273 |
TheoryRewriter* TheoryBV::getTheoryRewriter() { return &d_rewriter; } |
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|
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ProofRuleChecker* TheoryBV::getProofChecker() |
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{ |
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if (options().bv.bvSolver == options::BVSolver::BITBLAST_INTERNAL) |
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{ |
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return static_cast<BVSolverBitblastInternal*>(d_internal.get()) |
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->getProofChecker(); |
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} |
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return nullptr; |
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} |
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|
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15273 |
bool TheoryBV::needsEqualityEngine(EeSetupInfo& esi) |
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{ |
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15273 |
bool need_ee = d_internal->needsEqualityEngine(esi); |
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|
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/* Set up default notify class for equality engine. */ |
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15273 |
if (need_ee && esi.d_notify == nullptr) |
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{ |
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15248 |
esi.d_notify = &d_notify; |
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15248 |
esi.d_name = "theory::bv::ee"; |
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} |
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15273 |
return need_ee; |
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} |
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void TheoryBV::finishInit() |
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{ |
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// these kinds are semi-evaluated in getModelValue (applications of this |
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// kind are treated as variables) |
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15273 |
getValuation().setSemiEvaluatedKind(kind::BITVECTOR_ACKERMANNIZE_UDIV); |
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15273 |
getValuation().setSemiEvaluatedKind(kind::BITVECTOR_ACKERMANNIZE_UREM); |
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15273 |
d_internal->finishInit(); |
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|
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15273 |
eq::EqualityEngine* ee = getEqualityEngine(); |
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15273 |
if (ee) |
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{ |
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// The kinds we are treating as function application in congruence |
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ee->addFunctionKind(kind::BITVECTOR_CONCAT, true); |
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// ee->addFunctionKind(kind::BITVECTOR_AND); |
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// ee->addFunctionKind(kind::BITVECTOR_OR); |
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// ee->addFunctionKind(kind::BITVECTOR_XOR); |
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// ee->addFunctionKind(kind::BITVECTOR_NOT); |
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// ee->addFunctionKind(kind::BITVECTOR_NAND); |
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// ee->addFunctionKind(kind::BITVECTOR_NOR); |
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// ee->addFunctionKind(kind::BITVECTOR_XNOR); |
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// ee->addFunctionKind(kind::BITVECTOR_COMP); |
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ee->addFunctionKind(kind::BITVECTOR_MULT, true); |
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ee->addFunctionKind(kind::BITVECTOR_ADD, true); |
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ee->addFunctionKind(kind::BITVECTOR_EXTRACT, true); |
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// ee->addFunctionKind(kind::BITVECTOR_SUB); |
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// ee->addFunctionKind(kind::BITVECTOR_NEG); |
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// ee->addFunctionKind(kind::BITVECTOR_UDIV); |
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// ee->addFunctionKind(kind::BITVECTOR_UREM); |
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// ee->addFunctionKind(kind::BITVECTOR_SDIV); |
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// ee->addFunctionKind(kind::BITVECTOR_SREM); |
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// ee->addFunctionKind(kind::BITVECTOR_SMOD); |
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// ee->addFunctionKind(kind::BITVECTOR_SHL); |
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// ee->addFunctionKind(kind::BITVECTOR_LSHR); |
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// ee->addFunctionKind(kind::BITVECTOR_ASHR); |
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// ee->addFunctionKind(kind::BITVECTOR_ULT); |
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// ee->addFunctionKind(kind::BITVECTOR_ULE); |
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// ee->addFunctionKind(kind::BITVECTOR_UGT); |
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// ee->addFunctionKind(kind::BITVECTOR_UGE); |
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// ee->addFunctionKind(kind::BITVECTOR_SLT); |
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// ee->addFunctionKind(kind::BITVECTOR_SLE); |
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// ee->addFunctionKind(kind::BITVECTOR_SGT); |
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// ee->addFunctionKind(kind::BITVECTOR_SGE); |
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ee->addFunctionKind(kind::BITVECTOR_TO_NAT); |
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ee->addFunctionKind(kind::INT_TO_BITVECTOR); |
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} |
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15273 |
} |
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void TheoryBV::preRegisterTerm(TNode node) |
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{ |
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d_internal->preRegisterTerm(node); |
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|
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eq::EqualityEngine* ee = getEqualityEngine(); |
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341869 |
if (ee) |
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{ |
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if (node.getKind() == kind::EQUAL) |
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{ |
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ee->addTriggerPredicate(node); |
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} |
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else |
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{ |
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ee->addTerm(node); |
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} |
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} |
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341869 |
} |
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bool TheoryBV::preCheck(Effort e) { return d_internal->preCheck(e); } |
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1002516 |
void TheoryBV::postCheck(Effort e) |
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{ |
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1002516 |
d_invalidateModelCache = true; |
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1002516 |
d_internal->postCheck(e); |
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1002516 |
} |
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2836060 |
bool TheoryBV::preNotifyFact( |
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TNode atom, bool pol, TNode fact, bool isPrereg, bool isInternal) |
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{ |
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2836060 |
return d_internal->preNotifyFact(atom, pol, fact, isPrereg, isInternal); |
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} |
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void TheoryBV::notifyFact(TNode atom, bool pol, TNode fact, bool isInternal) |
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{ |
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d_internal->notifyFact(atom, pol, fact, isInternal); |
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2833722 |
} |
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bool TheoryBV::needsCheckLastEffort() |
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{ |
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return d_internal->needsCheckLastEffort(); |
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} |
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void TheoryBV::computeRelevantTerms(std::set<Node>& termSet) |
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{ |
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return d_internal->computeRelevantTerms(termSet); |
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} |
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bool TheoryBV::collectModelValues(TheoryModel* m, const std::set<Node>& termSet) |
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{ |
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return d_internal->collectModelValues(m, termSet); |
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} |
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void TheoryBV::propagate(Effort e) { return d_internal->propagate(e); } |
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Theory::PPAssertStatus TheoryBV::ppAssert( |
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TrustNode tin, TrustSubstitutionMap& outSubstitutions) |
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{ |
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TNode in = tin.getNode(); |
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Kind k = in.getKind(); |
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if (k == kind::EQUAL) |
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{ |
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// Substitute variables |
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if (in[0].isVar() && isLegalElimination(in[0], in[1])) |
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{ |
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++d_stats.d_solveSubstitutions; |
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outSubstitutions.addSubstitutionSolved(in[0], in[1], tin); |
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return Theory::PP_ASSERT_STATUS_SOLVED; |
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} |
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if (in[1].isVar() && isLegalElimination(in[1], in[0])) |
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{ |
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++d_stats.d_solveSubstitutions; |
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outSubstitutions.addSubstitutionSolved(in[1], in[0], tin); |
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return Theory::PP_ASSERT_STATUS_SOLVED; |
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} |
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/** |
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* Eliminate extract over bit-vector variables. |
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* |
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* Given x[h:l] = c, where c is a constant and x is a variable. |
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* |
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* We rewrite to: |
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* |
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* x = sk1::c if l == 0, where bw(sk1) = bw(x)-1-h |
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* x = c::sk2 if h == bw(x)-1, where bw(sk2) = l |
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* x = sk1::c::sk2 otherwise, where bw(sk1) = bw(x)-1-h and bw(sk2) = l |
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*/ |
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Node node = rewrite(in); |
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if ((node[0].getKind() == kind::BITVECTOR_EXTRACT && node[1].isConst()) |
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|| (node[1].getKind() == kind::BITVECTOR_EXTRACT |
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&& node[0].isConst())) |
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{ |
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Node extract = node[0].isConst() ? node[1] : node[0]; |
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if (extract[0].isVar()) |
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{ |
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Node c = node[0].isConst() ? node[0] : node[1]; |
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uint32_t high = utils::getExtractHigh(extract); |
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uint32_t low = utils::getExtractLow(extract); |
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uint32_t var_bw = utils::getSize(extract[0]); |
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std::vector<Node> children; |
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// create sk1 with size bw(x)-1-h |
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if (low == 0 || high != var_bw - 1) |
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{ |
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Assert(high != var_bw - 1); |
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uint32_t skolem_size = var_bw - high - 1; |
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Node skolem = utils::mkVar(skolem_size); |
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children.push_back(skolem); |
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} |
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children.push_back(c); |
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// create sk2 with size l |
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if (high == var_bw - 1 || low != 0) |
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{ |
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Assert(low != 0); |
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uint32_t skolem_size = low; |
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Node skolem = utils::mkVar(skolem_size); |
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children.push_back(skolem); |
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} |
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Node concat = utils::mkConcat(children); |
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Assert(utils::getSize(concat) == utils::getSize(extract[0])); |
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if (isLegalElimination(extract[0], concat)) |
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{ |
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outSubstitutions.addSubstitutionSolved(extract[0], concat, tin); |
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return Theory::PP_ASSERT_STATUS_SOLVED; |
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} |
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} |
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} |
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} |
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return Theory::PP_ASSERT_STATUS_UNSOLVED; |
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} |
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251988 |
TrustNode TheoryBV::ppRewrite(TNode t, std::vector<SkolemLemma>& lems) |
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{ |
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// first, see if we need to expand definitions |
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503976 |
TrustNode texp = d_rewriter.expandDefinition(t); |
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251988 |
if (!texp.isNull()) |
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{ |
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return texp; |
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} |
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251881 |
Debug("theory-bv-pp-rewrite") << "ppRewrite " << t << "\n"; |
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503762 |
Node res = t; |
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251881 |
if (options().bv.bitwiseEq && RewriteRule<BitwiseEq>::applies(t)) |
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{ |
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res = rewrite(RewriteRule<BitwiseEq>::run<false>(t)); |
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} |
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// useful on QF_BV/space/ndist |
287 |
251450 |
else if (RewriteRule<UltAddOne>::applies(t)) |
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{ |
289 |
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res = rewrite(RewriteRule<UltAddOne>::run<false>(t)); |
290 |
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} |
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// Useful for BV/2017-Preiner-scholl-smt08, but not for QF_BV |
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251396 |
else if (options().bv.rwExtendEq) |
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{ |
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if (RewriteRule<SignExtendEqConst>::applies(t)) |
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{ |
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res = RewriteRule<SignExtendEqConst>::run<false>(t); |
297 |
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} |
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else if (RewriteRule<ZeroExtendEqConst>::applies(t)) |
299 |
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{ |
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res = RewriteRule<ZeroExtendEqConst>::run<false>(t); |
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} |
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} |
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251881 |
Debug("theory-bv-pp-rewrite") << "to " << res << "\n"; |
305 |
251881 |
if (res != t) |
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{ |
307 |
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return TrustNode::mkTrustRewrite(t, res, nullptr); |
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} |
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251396 |
return d_internal->ppRewrite(t); |
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} |
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20560 |
void TheoryBV::presolve() { d_internal->presolve(); } |
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315 |
30447 |
EqualityStatus TheoryBV::getEqualityStatus(TNode a, TNode b) |
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{ |
317 |
30447 |
EqualityStatus status = d_internal->getEqualityStatus(a, b); |
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|
319 |
30447 |
if (status == EqualityStatus::EQUALITY_UNKNOWN) |
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{ |
321 |
60894 |
Node value_a = getValue(a); |
322 |
60894 |
Node value_b = getValue(b); |
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|
324 |
30447 |
if (value_a.isNull() || value_b.isNull()) |
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{ |
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return status; |
327 |
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} |
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30447 |
if (value_a == value_b) |
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{ |
331 |
4052 |
Debug("theory-bv") << EQUALITY_TRUE_IN_MODEL << std::endl; |
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4052 |
return EQUALITY_TRUE_IN_MODEL; |
333 |
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} |
334 |
26395 |
Debug("theory-bv") << EQUALITY_FALSE_IN_MODEL << std::endl; |
335 |
26395 |
return EQUALITY_FALSE_IN_MODEL; |
336 |
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} |
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return status; |
338 |
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} |
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|
340 |
4986 |
TrustNode TheoryBV::explain(TNode node) { return d_internal->explain(node); } |
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|
342 |
95686 |
void TheoryBV::notifySharedTerm(TNode t) |
343 |
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{ |
344 |
95686 |
d_internal->notifySharedTerm(t); |
345 |
95686 |
} |
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|
347 |
250978 |
void TheoryBV::ppStaticLearn(TNode in, NodeBuilder& learned) |
348 |
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{ |
349 |
250978 |
if (in.getKind() == kind::EQUAL) |
350 |
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{ |
351 |
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// Only useful in combination with --bv-intro-pow2 on |
352 |
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// QF_BV/pspace/power2sum benchmarks. |
353 |
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// |
354 |
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// Matches for equality: |
355 |
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// |
356 |
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// (= (bvadd (bvshl 1 x) (bvshl 1 y)) (bvshl 1 z)) |
357 |
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// |
358 |
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// and does case analysis on the sum of two power of twos. |
359 |
71193 |
if ((in[0].getKind() == kind::BITVECTOR_ADD |
360 |
23747 |
&& in[1].getKind() == kind::BITVECTOR_SHL) |
361 |
118655 |
|| (in[1].getKind() == kind::BITVECTOR_ADD |
362 |
23737 |
&& in[0].getKind() == kind::BITVECTOR_SHL)) |
363 |
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{ |
364 |
4 |
TNode p = in[0].getKind() == kind::BITVECTOR_ADD ? in[0] : in[1]; |
365 |
4 |
TNode s = in[0].getKind() == kind::BITVECTOR_ADD ? in[1] : in[0]; |
366 |
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|
367 |
6 |
if (p.getNumChildren() == 2 && p[0].getKind() == kind::BITVECTOR_SHL |
368 |
6 |
&& p[1].getKind() == kind::BITVECTOR_SHL) |
369 |
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{ |
370 |
8 |
if (utils::isOne(s[0]) && utils::isOne(p[0][0]) |
371 |
8 |
&& utils::isOne(p[1][0])) |
372 |
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{ |
373 |
4 |
Node zero = utils::mkZero(utils::getSize(s)); |
374 |
4 |
TNode b = p[0]; |
375 |
4 |
TNode c = p[1]; |
376 |
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// (s : 1 << S) = (b : 1 << B) + (c : 1 << C) |
377 |
4 |
Node b_eq_0 = b.eqNode(zero); |
378 |
4 |
Node c_eq_0 = c.eqNode(zero); |
379 |
4 |
Node b_eq_c = b.eqNode(c); |
380 |
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|
381 |
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Node dis = NodeManager::currentNM()->mkNode( |
382 |
4 |
kind::OR, b_eq_0, c_eq_0, b_eq_c); |
383 |
4 |
Node imp = in.impNode(dis); |
384 |
2 |
learned << imp; |
385 |
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} |
386 |
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} |
387 |
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} |
388 |
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} |
389 |
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|
390 |
250978 |
d_internal->ppStaticLearn(in, learned); |
391 |
250978 |
} |
392 |
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|
393 |
60894 |
Node TheoryBV::getValue(TNode node) |
394 |
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{ |
395 |
60894 |
if (d_invalidateModelCache.get()) |
396 |
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{ |
397 |
250 |
d_modelCache.clear(); |
398 |
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} |
399 |
60894 |
d_invalidateModelCache.set(false); |
400 |
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|
401 |
121788 |
std::vector<TNode> visit; |
402 |
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|
403 |
121788 |
TNode cur; |
404 |
60894 |
visit.push_back(node); |
405 |
569 |
do |
406 |
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{ |
407 |
61463 |
cur = visit.back(); |
408 |
61463 |
visit.pop_back(); |
409 |
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|
410 |
61463 |
auto it = d_modelCache.find(cur); |
411 |
61463 |
if (it != d_modelCache.end() && !it->second.isNull()) |
412 |
|
{ |
413 |
121041 |
continue; |
414 |
|
} |
415 |
|
|
416 |
1715 |
if (cur.isConst()) |
417 |
|
{ |
418 |
272 |
d_modelCache[cur] = cur; |
419 |
272 |
continue; |
420 |
|
} |
421 |
|
|
422 |
1613 |
Node value = d_internal->getValue(cur, false); |
423 |
1648 |
if (value.isConst()) |
424 |
|
{ |
425 |
477 |
d_modelCache[cur] = value; |
426 |
477 |
continue; |
427 |
|
} |
428 |
|
|
429 |
946 |
if (Theory::isLeafOf(cur, theory::THEORY_BV)) |
430 |
|
{ |
431 |
252 |
value = d_internal->getValue(cur, true); |
432 |
252 |
d_modelCache[cur] = value; |
433 |
252 |
continue; |
434 |
|
} |
435 |
|
|
436 |
442 |
if (it == d_modelCache.end()) |
437 |
|
{ |
438 |
221 |
visit.push_back(cur); |
439 |
221 |
d_modelCache.emplace(cur, Node()); |
440 |
221 |
visit.insert(visit.end(), cur.begin(), cur.end()); |
441 |
|
} |
442 |
221 |
else if (it->second.isNull()) |
443 |
|
{ |
444 |
442 |
NodeBuilder nb(cur.getKind()); |
445 |
221 |
if (cur.getMetaKind() == kind::metakind::PARAMETERIZED) |
446 |
|
{ |
447 |
33 |
nb << cur.getOperator(); |
448 |
|
} |
449 |
|
|
450 |
221 |
std::unordered_map<Node, Node>::iterator iit; |
451 |
569 |
for (const TNode& child : cur) |
452 |
|
{ |
453 |
348 |
iit = d_modelCache.find(child); |
454 |
348 |
Assert(iit != d_modelCache.end()); |
455 |
348 |
Assert(iit->second.isConst()); |
456 |
348 |
nb << iit->second; |
457 |
|
} |
458 |
221 |
it->second = rewrite(nb.constructNode()); |
459 |
|
} |
460 |
61463 |
} while (!visit.empty()); |
461 |
|
|
462 |
60894 |
auto it = d_modelCache.find(node); |
463 |
60894 |
Assert(it != d_modelCache.end()); |
464 |
121788 |
return it->second; |
465 |
|
} |
466 |
|
|
467 |
15273 |
TheoryBV::Statistics::Statistics(StatisticsRegistry& reg, |
468 |
15273 |
const std::string& name) |
469 |
15273 |
: d_solveSubstitutions(reg.registerInt(name + "NumSolveSubstitutions")) |
470 |
|
{ |
471 |
15273 |
} |
472 |
|
|
473 |
|
} // namespace bv |
474 |
|
} // namespace theory |
475 |
31137 |
} // namespace cvc5 |