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-/********************* */
-/*! \file macros.cpp
- ** \verbatim
- ** Top contributors (to current version):
- ** Andrew Reynolds, Tim King, Kshitij Bansal
- ** This file is part of the CVC4 project.
- ** Copyright (c) 2009-2018 by the authors listed in the file AUTHORS
- ** in the top-level source directory) and their institutional affiliations.
- ** All rights reserved. See the file COPYING in the top-level source
- ** directory for licensing information.\endverbatim
- **
- ** \brief Sort inference module
- **
- ** This class implements quantifiers macro definitions.
- **/
-
-#include "theory/quantifiers/macros.h"
-
-#include <vector>
-
-#include "options/quantifiers_modes.h"
-#include "options/quantifiers_options.h"
-#include "proof/proof_manager.h"
-#include "smt/smt_engine.h"
-#include "smt/smt_engine_scope.h"
-#include "theory/arith/arith_msum.h"
-#include "theory/quantifiers/ematching/trigger.h"
-#include "theory/quantifiers/term_database.h"
-#include "theory/quantifiers/term_util.h"
-#include "theory/rewriter.h"
-
-using namespace CVC4;
-using namespace std;
-using namespace CVC4::theory;
-using namespace CVC4::theory::quantifiers;
-using namespace CVC4::kind;
-
-
-QuantifierMacros::QuantifierMacros( QuantifiersEngine * qe ) : d_qe( qe ){
- d_ground_macros = false;
-}
-
-bool QuantifierMacros::simplify( std::vector< Node >& assertions, bool doRewrite ){
- unsigned rmax = options::macrosQuantMode()==MACROS_QUANT_MODE_ALL ? 2 : 1;
- for( unsigned r=0; r<rmax; r++ ){
- d_ground_macros = (r==0);
- Trace("macros") << "Find macros, ground=" << d_ground_macros << "..." << std::endl;
- //first, collect macro definitions
- std::vector< Node > macro_assertions;
- for( int i=0; i<(int)assertions.size(); i++ ){
- Trace("macros-debug") << " process assertion " << assertions[i] << std::endl;
- if( processAssertion( assertions[i] ) ){
- PROOF(
- if( std::find( macro_assertions.begin(), macro_assertions.end(), assertions[i] )==macro_assertions.end() ){
- macro_assertions.push_back( assertions[i] );
- }
- );
- //process this assertion again
- i--;
- }
- }
- Trace("macros") << "...finished process, #new def = " << d_macro_defs_new.size() << std::endl;
- if( doRewrite && !d_macro_defs_new.empty() ){
- bool retVal = false;
- Trace("macros") << "Do simplifications..." << std::endl;
- //now, rewrite based on macro definitions
- for( unsigned i=0; i<assertions.size(); i++ ){
- Node curr = simplify( assertions[i] );
- if( curr!=assertions[i] ){
- curr = Rewriter::rewrite( curr );
- Trace("macros-rewrite") << "Rewrite " << assertions[i] << " to " << curr << std::endl;
- //for now, it is dependent upon all assertions involving macros, this is an over-approximation.
- //a more fine-grained unsat core computation would require caching dependencies for each subterm of the formula,
- // which is expensive.
- PROOF(
- ProofManager::currentPM()->addDependence(curr, assertions[i]);
- for( unsigned j=0; j<macro_assertions.size(); j++ ){
- if( macro_assertions[j]!=assertions[i] ){
- ProofManager::currentPM()->addDependence(curr,macro_assertions[j]);
- }
- }
- );
- assertions[i] = curr;
- retVal = true;
- }
- }
- d_macro_defs_new.clear();
- if( retVal ){
- return true;
- }
- }
- }
- if( Trace.isOn("macros-warn") ){
- for( unsigned i=0; i<assertions.size(); i++ ){
- debugMacroDefinition( assertions[i], assertions[i] );
- }
- }
- return false;
-}
-
-bool QuantifierMacros::processAssertion( Node n ) {
- if( n.getKind()==AND ){
- for( unsigned i=0; i<n.getNumChildren(); i++ ){
- if( processAssertion( n[i] ) ){
- return true;
- }
- }
- }else if( n.getKind()==FORALL && d_quant_macros.find( n )==d_quant_macros.end() ){
- std::vector< Node > args;
- for( size_t j=0; j<n[0].getNumChildren(); j++ ){
- args.push_back( n[0][j] );
- }
- Node nproc = n[1];
- if( !d_macro_defs_new.empty() ){
- nproc = simplify( nproc );
- if( nproc!=n[1] ){
- nproc = Rewriter::rewrite( nproc );
- }
- }
- //look at the body of the quantifier for macro definition
- if( process( nproc, true, args, n ) ){
- d_quant_macros[n] = true;
- return true;
- }
- }
- return false;
-}
-
-bool QuantifierMacros::containsBadOp( Node n, Node op, std::vector< Node >& opc, std::map< Node, bool >& visited ){
- if( visited.find( n )==visited.end() ){
- visited[n] = true;
- if( n.getKind()==APPLY_UF ){
- Node nop = n.getOperator();
- if( nop==op || d_macro_defs.find( nop )!=d_macro_defs.end() ){
- return true;
- }
- if( std::find( opc.begin(), opc.end(), nop )==opc.end() ){
- opc.push_back( nop );
- }
- }else if( d_ground_macros && n.getKind()==FORALL ){
- return true;
- }
- for( size_t i=0; i<n.getNumChildren(); i++ ){
- if( containsBadOp( n[i], op, opc, visited ) ){
- return true;
- }
- }
- }
- return false;
-}
-
-bool QuantifierMacros::isMacroLiteral( Node n, bool pol ){
- return pol && n.getKind()==EQUAL;
-}
-
-bool QuantifierMacros::isGroundUfTerm( Node f, Node n ) {
- Node icn = d_qe->getTermUtil()->substituteBoundVariablesToInstConstants(n, f);
- Trace("macros-debug2") << "Get free variables in " << icn << std::endl;
- std::vector< Node > var;
- quantifiers::TermUtil::computeInstConstContainsForQuant(f, icn, var);
- Trace("macros-debug2") << "Get trigger variables for " << icn << std::endl;
- std::vector< Node > trigger_var;
- inst::Trigger::getTriggerVariables( icn, f, trigger_var );
- Trace("macros-debug2") << "Done." << std::endl;
- //only if all variables are also trigger variables
- return trigger_var.size()>=var.size();
-}
-
-bool QuantifierMacros::isBoundVarApplyUf( Node n ) {
- Assert( n.getKind()==APPLY_UF );
- TypeNode tno = n.getOperator().getType();
- std::map< Node, bool > vars;
- // allow if a vector of unique variables of the same type as UF arguments
- for( unsigned i=0; i<n.getNumChildren(); i++ ){
- if( n[i].getKind()!=BOUND_VARIABLE ){
- return false;
- }
- if( n[i].getType()!=tno[i] ){
- return false;
- }
- if( vars.find( n[i] )==vars.end() ){
- vars[n[i]] = true;
- }else{
- return false;
- }
- }
- return true;
-}
-
-void QuantifierMacros::getMacroCandidates( Node n, std::vector< Node >& candidates, std::map< Node, bool >& visited ){
- if( visited.find( n )==visited.end() ){
- visited[n] = true;
- if( n.getKind()==APPLY_UF ){
- if( isBoundVarApplyUf( n ) ){
- candidates.push_back( n );
- }
- }else if( n.getKind()==PLUS ){
- for( size_t i=0; i<n.getNumChildren(); i++ ){
- getMacroCandidates( n[i], candidates, visited );
- }
- }else if( n.getKind()==MULT ){
- //if the LHS is a constant
- if( n.getNumChildren()==2 && n[0].isConst() ){
- getMacroCandidates( n[1], candidates, visited );
- }
- }else if( n.getKind()==NOT ){
- getMacroCandidates( n[0], candidates, visited );
- }
- }
-}
-
-Node QuantifierMacros::solveInEquality( Node n, Node lit ){
- if( lit.getKind()==EQUAL ){
- //return the opposite side of the equality if defined that way
- for( int i=0; i<2; i++ ){
- if( lit[i]==n ){
- return lit[i==0 ? 1 : 0];
- }else if( lit[i].getKind()==NOT && lit[i][0]==n ){
- return lit[i==0 ? 1 : 0].negate();
- }
- }
- std::map<Node, Node> msum;
- if (ArithMSum::getMonomialSumLit(lit, msum))
- {
- Node veq_c;
- Node val;
- int res = ArithMSum::isolate(n, msum, veq_c, val, EQUAL);
- if (res != 0 && veq_c.isNull())
- {
- return val;
- }
- }
- }
- Trace("macros-debug") << "Cannot find for " << lit << " " << n << std::endl;
- return Node::null();
-}
-
-bool QuantifierMacros::getFreeVariables( Node n, std::vector< Node >& v_quant, std::vector< Node >& vars, bool retOnly, std::map< Node, bool >& visited ){
- if( visited.find( n )==visited.end() ){
- visited[n] = true;
- if( std::find( v_quant.begin(), v_quant.end(), n )!=v_quant.end() ){
- if( std::find( vars.begin(), vars.end(), n )==vars.end() ){
- if( retOnly ){
- return true;
- }else{
- vars.push_back( n );
- }
- }
- }
- for( size_t i=0; i<n.getNumChildren(); i++ ){
- if( getFreeVariables( n[i], v_quant, vars, retOnly, visited ) ){
- return true;
- }
- }
- }
- return false;
-}
-
-bool QuantifierMacros::getSubstitution( std::vector< Node >& v_quant, std::map< Node, Node >& solved,
- std::vector< Node >& vars, std::vector< Node >& subs, bool reqComplete ){
- bool success = true;
- for( size_t a=0; a<v_quant.size(); a++ ){
- if( !solved[ v_quant[a] ].isNull() ){
- vars.push_back( v_quant[a] );
- subs.push_back( solved[ v_quant[a] ] );
- }else{
- if( reqComplete ){
- success = false;
- break;
- }
- }
- }
- return success;
-}
-
-bool QuantifierMacros::process( Node n, bool pol, std::vector< Node >& args, Node f ){
- Trace("macros-debug") << " process " << n << std::endl;
- if( n.getKind()==NOT ){
- return process( n[0], !pol, args, f );
- }else if( n.getKind()==AND || n.getKind()==OR ){
- //bool favorPol = (n.getKind()==AND)==pol;
- //conditional?
- }else if( n.getKind()==ITE ){
- //can not do anything
- }else if( n.getKind()==APPLY_UF ){
- //predicate case
- if( isBoundVarApplyUf( n ) ){
- Node op = n.getOperator();
- if( d_macro_defs.find( op )==d_macro_defs.end() ){
- Node n_def = NodeManager::currentNM()->mkConst( pol );
- for( unsigned i=0; i<n.getNumChildren(); i++ ){
- std::stringstream ss;
- ss << "mda_" << op << "";
- Node v = NodeManager::currentNM()->mkSkolem( ss.str(), n[i].getType(), "created during macro definition recognition" );
- d_macro_basis[op].push_back( v );
- }
- //contains no ops
- std::vector< Node > op_contains;
- //add the macro
- addMacro( op, n_def, op_contains );
- return true;
- }
- }
- }else{
- //literal case
- if( isMacroLiteral( n, pol ) ){
- Trace("macros-debug") << "Check macro literal : " << n << std::endl;
- std::map< Node, bool > visited;
- std::vector< Node > candidates;
- for( size_t i=0; i<n.getNumChildren(); i++ ){
- getMacroCandidates( n[i], candidates, visited );
- }
- for( size_t i=0; i<candidates.size(); i++ ){
- Node m = candidates[i];
- Node op = m.getOperator();
- Trace("macros-debug") << "Check macro candidate : " << m << std::endl;
- if( d_macro_defs.find( op )==d_macro_defs.end() ){
- std::vector< Node > fvs;
- visited.clear();
- getFreeVariables( m, args, fvs, false, visited );
- //get definition and condition
- Node n_def = solveInEquality( m, n ); //definition for the macro
- if( !n_def.isNull() ){
- Trace("macros-debug") << m << " is possible macro in " << f << std::endl;
- Trace("macros-debug") << " corresponding definition is : " << n_def << std::endl;
- visited.clear();
- //definition must exist and not contain any free variables apart from fvs
- if( !getFreeVariables( n_def, args, fvs, true, visited ) ){
- Trace("macros-debug") << "...free variables are contained." << std::endl;
- visited.clear();
- //cannot contain a defined operator, opc is list of functions it contains
- std::vector< Node > opc;
- if( !containsBadOp( n_def, op, opc, visited ) ){
- Trace("macros-debug") << "...does not contain bad (recursive) operator." << std::endl;
- //must be ground UF term if mode is GROUND_UF
- if( options::macrosQuantMode()!=MACROS_QUANT_MODE_GROUND_UF || isGroundUfTerm( f, n_def ) ){
- Trace("macros-debug") << "...respects ground-uf constraint." << std::endl;
- //now we must rewrite candidates[i] to a term of form g( x1, ..., xn ) where
- // x1 ... xn are distinct variables
- if( d_macro_basis[op].empty() ){
- for( size_t a=0; a<m.getNumChildren(); a++ ){
- std::stringstream ss;
- ss << "mda_" << op << "";
- Node v = NodeManager::currentNM()->mkSkolem( ss.str(), m[a].getType(), "created during macro definition recognition" );
- d_macro_basis[op].push_back( v );
- }
- }
- std::map< Node, Node > solved;
- for( size_t a=0; a<m.getNumChildren(); a++ ){
- solved[m[a]] = d_macro_basis[op][a];
- }
- std::vector< Node > vars;
- std::vector< Node > subs;
- if( getSubstitution( fvs, solved, vars, subs, true ) ){
- n_def = n_def.substitute( vars.begin(), vars.end(), subs.begin(), subs.end() );
- addMacro( op, n_def, opc );
- return true;
- }
- }
- }
- }
- }
- }
- }
- }
- }
- return false;
-}
-
-Node QuantifierMacros::simplify( Node n ){
- if( n.getNumChildren()==0 ){
- return n;
- }else{
- std::map< Node, Node >::iterator itn = d_simplify_cache.find( n );
- if( itn!=d_simplify_cache.end() ){
- return itn->second;
- }else{
- Node ret = n;
- Trace("macros-debug") << " simplify " << n << std::endl;
- std::vector< Node > children;
- bool childChanged = false;
- for( size_t i=0; i<n.getNumChildren(); i++ ){
- Node nn = simplify( n[i] );
- children.push_back( nn );
- childChanged = childChanged || nn!=n[i];
- }
- bool retSet = false;
- if( n.getKind()==APPLY_UF ){
- Node op = n.getOperator();
- std::map< Node, Node >::iterator it = d_macro_defs.find( op );
- if( it!=d_macro_defs.end() && !it->second.isNull() ){
- //only apply if children are subtypes of arguments
- bool success = true;
- // FIXME : this can be eliminated when we have proper typing rules
- std::vector< Node > cond;
- TypeNode tno = op.getType();
- for( unsigned i=0; i<children.size(); i++ ){
- Node etc = TypeNode::getEnsureTypeCondition( children[i], tno[i] );
- if( etc.isNull() ){
- //if this does fail, we are incomplete, since we are eliminating quantified formula corresponding to op,
- // and not ensuring it applies to n when its types are correct.
- //Assert( false );
- success = false;
- break;
- }else if( !etc.isConst() ){
- cond.push_back( etc );
- }
- Assert( children[i].getType().isSubtypeOf( tno[i] ) );
- }
- if( success ){
- //do substitution if necessary
- ret = it->second;
- std::map< Node, std::vector< Node > >::iterator itb = d_macro_basis.find( op );
- if( itb!=d_macro_basis.end() ){
- ret = ret.substitute( itb->second.begin(), itb->second.end(), children.begin(), children.end() );
- }
- if( !cond.empty() ){
- Node cc = cond.size()==1 ? cond[0] : NodeManager::currentNM()->mkNode( kind::AND, cond );
- ret = NodeManager::currentNM()->mkNode( kind::ITE, cc, ret, n );
- }
- retSet = true;
- }
- }
- }
- if( !retSet && childChanged ){
- if( n.getMetaKind() == kind::metakind::PARAMETERIZED ){
- children.insert( children.begin(), n.getOperator() );
- }
- ret = NodeManager::currentNM()->mkNode( n.getKind(), children );
- }
- d_simplify_cache[n] = ret;
- return ret;
- }
- }
-}
-
-void QuantifierMacros::debugMacroDefinition( Node oo, Node n ) {
- //for debugging, ensure that all previous definitions have been eliminated
- if( n.getKind()==APPLY_UF ){
- Node op = n.getOperator();
- if( d_macro_defs.find( op )!=d_macro_defs.end() ){
- if( d_macro_defs.find( oo )!=d_macro_defs.end() ){
- Trace("macros-warn") << "BAD DEFINITION for macro " << oo << " : " << d_macro_defs[oo] << std::endl;
- }else{
- Trace("macros-warn") << "BAD ASSERTION " << oo << std::endl;
- }
- Trace("macros-warn") << " contains defined function " << op << "!!!" << std::endl;
- }
- }
- for( unsigned i=0; i<n.getNumChildren(); i++ ){
- debugMacroDefinition( oo, n[i] );
- }
-}
-
-void QuantifierMacros::finalizeDefinitions() {
- bool doDefs = false;
- if( Trace.isOn("macros-warn") ){
- doDefs = true;
- }
- if( options::incrementalSolving() || options::produceModels() || doDefs ){
- Trace("macros") << "Store as defined functions..." << std::endl;
- //also store as defined functions
- for( std::map< Node, Node >::iterator it = d_macro_defs.begin(); it != d_macro_defs.end(); ++it ){
- Trace("macros-def") << "Macro definition for " << it->first << " : " << it->second << std::endl;
- Trace("macros-def") << " basis is : ";
- std::vector< Node > nargs;
- std::vector< Expr > args;
- for( unsigned i=0; i<d_macro_basis[it->first].size(); i++ ){
- Node bv = NodeManager::currentNM()->mkBoundVar( d_macro_basis[it->first][i].getType() );
- Trace("macros-def") << d_macro_basis[it->first][i] << " ";
- nargs.push_back( bv );
- args.push_back( bv.toExpr() );
- }
- Trace("macros-def") << std::endl;
- Node sbody = it->second.substitute( d_macro_basis[it->first].begin(), d_macro_basis[it->first].end(), nargs.begin(), nargs.end() );
- smt::currentSmtEngine()->defineFunction( it->first.toExpr(), args, sbody.toExpr() );
-
- if( Trace.isOn("macros-warn") ){
- debugMacroDefinition( it->first, sbody );
- }
- }
- Trace("macros") << "done." << std::endl;
- }
-}
-
-void QuantifierMacros::addMacro( Node op, Node n, std::vector< Node >& opc ) {
- Trace("macros") << "* " << n << " is a macro for " << op << ", #op contain = " << opc.size() << std::endl;
- d_simplify_cache.clear();
- d_macro_defs[op] = n;
- d_macro_defs_new[op] = n;
- //substitute into all previous
- std::vector< Node > dep_ops;
- dep_ops.push_back( op );
- Trace("macros-debug") << "...substitute into " << d_macro_def_contains[op].size() << " previous definitions." << std::endl;
- for( unsigned i=0; i<d_macro_def_contains[op].size(); i++ ){
- Node cop = d_macro_def_contains[op][i];
- Node def = d_macro_defs[cop];
- def = simplify( def );
- d_macro_defs[cop] = def;
- if( d_macro_defs_new.find( cop )!=d_macro_defs_new.end() ){
- d_macro_defs_new[cop] = def;
- }
- dep_ops.push_back( cop );
- }
- //store the contains op information
- for( unsigned i=0; i<opc.size(); i++ ){
- for( unsigned j=0; j<dep_ops.size(); j++ ){
- Node dop = dep_ops[j];
- if( std::find( d_macro_def_contains[opc[i]].begin(), d_macro_def_contains[opc[i]].end(), dop )==d_macro_def_contains[opc[i]].end() ){
- d_macro_def_contains[opc[i]].push_back( dop );
- }
- }
- }
-}
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