LCOV - code coverage report
Current view: top level - buildbot/coverage/build/src/theory/uf - equality_engine.h (source / functions) Hit Total Coverage
Test: coverage.info Lines: 38 40 95.0 %
Date: 2026-03-14 10:40:08 Functions: 19 20 95.0 %
Branches: 6 14 42.9 %

           Branch data     Line data    Source code
       1                 :            : /******************************************************************************
       2                 :            :  * This file is part of the cvc5 project.
       3                 :            :  *
       4                 :            :  * Copyright (c) 2009-2026 by the authors listed in the file AUTHORS
       5                 :            :  * in the top-level source directory and their institutional affiliations.
       6                 :            :  * All rights reserved.  See the file COPYING in the top-level source
       7                 :            :  * directory for licensing information.
       8                 :            :  * ****************************************************************************
       9                 :            :  *
      10                 :            :  * [[ Add one-line brief description here ]]
      11                 :            :  *
      12                 :            :  * [[ Add lengthier description here ]]
      13                 :            :  * \todo document this file
      14                 :            :  */
      15                 :            : 
      16                 :            : #include "cvc5_private.h"
      17                 :            : 
      18                 :            : #ifndef CVC5__THEORY__UF__EQUALITY_ENGINE_H
      19                 :            : #define CVC5__THEORY__UF__EQUALITY_ENGINE_H
      20                 :            : 
      21                 :            : #include <deque>
      22                 :            : #include <queue>
      23                 :            : #include <unordered_map>
      24                 :            : #include <vector>
      25                 :            : 
      26                 :            : #include "context/cdhashmap.h"
      27                 :            : #include "context/cdo.h"
      28                 :            : #include "expr/kind_map.h"
      29                 :            : #include "expr/node.h"
      30                 :            : #include "smt/env_obj.h"
      31                 :            : #include "theory/theory_id.h"
      32                 :            : #include "theory/uf/equality_engine_iterator.h"
      33                 :            : #include "theory/uf/equality_engine_notify.h"
      34                 :            : #include "theory/uf/equality_engine_types.h"
      35                 :            : #include "util/statistics_stats.h"
      36                 :            : 
      37                 :            : namespace cvc5::internal {
      38                 :            : 
      39                 :            : class Env;
      40                 :            : 
      41                 :            : namespace theory {
      42                 :            : namespace eq {
      43                 :            : 
      44                 :            : class EqClassesIterator;
      45                 :            : class EqClassIterator;
      46                 :            : class EqProof;
      47                 :            : class ProofEqEngine;
      48                 :            : 
      49                 :            : /**
      50                 :            :  * Class for keeping an incremental congruence closure over a set of terms. It provides
      51                 :            :  * notifications via an EqualityEngineNotify object.
      52                 :            :  */
      53                 :            : class EqualityEngine : public context::ContextNotifyObj, protected EnvObj
      54                 :            : {
      55                 :            :   friend class EqClassesIterator;
      56                 :            :   friend class EqClassIterator;
      57                 :            : 
      58                 :            :   /** Default implementation of the notification object */
      59                 :            :   static EqualityEngineNotifyNone s_notifyNone;
      60                 :            : 
      61                 :            :   /**
      62                 :            :    * Master equality engine that gets all the equality information from
      63                 :            :    * this one, or null if none.
      64                 :            :    */
      65                 :            :   EqualityEngine* d_masterEqualityEngine;
      66                 :            : 
      67                 :            :   /** Proof equality engine */
      68                 :            :   ProofEqEngine* d_proofEqualityEngine;
      69                 :            : 
      70                 :            :  public:
      71                 :            :   /**
      72                 :            :    * Initialize the equality engine, given the notification class.
      73                 :            :    *
      74                 :            :    * @param env The environment, which is used for rewriting
      75                 :            :    * @param c The context which this equality engine depends, which is typically
      76                 :            :    * although not necessarily same as the SAT context of env.
      77                 :            :    * @param name The name of this equality engine, for statistics
      78                 :            :    * @param constantTriggers Whether we treat constants as trigger terms
      79                 :            :    * @param anyTermTriggers Whether we use any terms as triggers
      80                 :            :    */
      81                 :            :   EqualityEngine(Env& env,
      82                 :            :                  context::Context* c,
      83                 :            :                  EqualityEngineNotify& notify,
      84                 :            :                  std::string name,
      85                 :            :                  bool constantTriggers,
      86                 :            :                  bool anyTermTriggers = true);
      87                 :            : 
      88                 :            :   /**
      89                 :            :    * Initialize the equality engine with no notification class.
      90                 :            :    */
      91                 :            :   EqualityEngine(Env& env,
      92                 :            :                  context::Context* c,
      93                 :            :                  std::string name,
      94                 :            :                  bool constantsAreTriggers,
      95                 :            :                  bool anyTermTriggers = true);
      96                 :            : 
      97                 :            :   /**
      98                 :            :    * Just a destructor.
      99                 :            :    */
     100                 :            :   virtual ~EqualityEngine();
     101                 :            : 
     102                 :            :   //--------------------initialization
     103                 :            :   /**
     104                 :            :    * Set the master equality engine for this one. Master engine will get copies
     105                 :            :    * of all the terms and equalities from this engine.
     106                 :            :    */
     107                 :            :   void setMasterEqualityEngine(EqualityEngine* master);
     108                 :            :   /** Set the proof equality engine for this one. */
     109                 :            :   void setProofEqualityEngine(ProofEqEngine* pfee);
     110                 :            :   /**
     111                 :            :    * Add term to the set of trigger terms with a corresponding tag. The notify
     112                 :            :    * class will get notified when two trigger terms with the same tag become
     113                 :            :    * equal or dis-equal. The notification will not happen on all the terms, but
     114                 :            :    * only on the ones that are represent the class. Note that a term can be
     115                 :            :    * added more than once with different tags, and each tag appearance will
     116                 :            :    * merit it's own notification.
     117                 :            :    *
     118                 :            :    * @param t the trigger term
     119                 :            :    * @param theoryTag tag for this trigger (do NOT use THEORY_LAST)
     120                 :            :    */
     121                 :            :   void addTriggerTerm(TNode t, TheoryId theoryTag);
     122                 :            :   /**
     123                 :            :    * Adds a notify trigger for the predicate p, where notice that p can be
     124                 :            :    * an equality. When the predicate becomes true, eqNotifyTriggerPredicate will
     125                 :            :    * be called with value = true, and when predicate becomes false
     126                 :            :    * eqNotifyTriggerPredicate will be called with value = false.
     127                 :            :    *
     128                 :            :    * Notice that if p is an equality, then we use a separate method for
     129                 :            :    * determining when to call eqNotifyTriggerPredicate.
     130                 :            :    */
     131                 :            :   void addTriggerPredicate(TNode predicate);
     132                 :            :   /**
     133                 :            :    * Add a kind to treat as function applications.
     134                 :            :    * When extOperator is true, this equality engine will treat the operators of
     135                 :            :    * this kind as "external" e.g. not internal nodes (see d_isInternal). This
     136                 :            :    * means that we will consider equivalence classes containing the operators of
     137                 :            :    * such terms, and "hasTerm" will return true.
     138                 :            :    */
     139                 :            :   void addFunctionKind(Kind fun,
     140                 :            :                        bool interpreted = false,
     141                 :            :                        bool extOperator = false);
     142                 :            :   //--------------------end initialization
     143                 :            :   /** Get the proof equality engine */
     144                 :            :   ProofEqEngine* getProofEqualityEngine();
     145                 :            :   /** Returns true if this kind is used for congruence closure. */
     146                 :     275789 :   bool isFunctionKind(Kind fun) const { return d_congruenceKinds.test(fun); }
     147                 :            :   /**
     148                 :            :    * Returns true if this kind is used for congruence closure + evaluation of
     149                 :            :    * constants.
     150                 :            :    */
     151                 :    1296898 :   bool isInterpretedFunctionKind(Kind fun) const
     152                 :            :   {
     153                 :    1296898 :     return d_congruenceKindsInterpreted.test(fun);
     154                 :            :   }
     155                 :            :   /**
     156                 :            :    * Returns true if this kind has an operator that is considered external (e.g.
     157                 :            :    * not internal).
     158                 :            :    */
     159                 :    1296898 :   bool isExternalOperatorKind(Kind fun) const
     160                 :            :   {
     161                 :    1296898 :     return d_congruenceKindsExtOperators.test(fun);
     162                 :            :   }
     163                 :            :   /**
     164                 :            :    * Returns true if t is a trigger term or in the same equivalence
     165                 :            :    * class as some other trigger term.
     166                 :            :    */
     167                 :            :   bool isTriggerTerm(TNode t, TheoryId theoryTag) const;
     168                 :            :   //--------------------updates
     169                 :            :   /** Adds a term to the term database. */
     170                 :    5069914 :   void addTerm(TNode t) { addTermInternal(t, false); }
     171                 :            :   /**
     172                 :            :    * Adds a predicate p with given polarity. The predicate asserted
     173                 :            :    * should be in the congruence closure kinds (otherwise it's
     174                 :            :    * useless).
     175                 :            :    *
     176                 :            :    * @param p the (non-negated) predicate
     177                 :            :    * @param polarity true if asserting the predicate, false if
     178                 :            :    *                 asserting the negated predicate
     179                 :            :    * @param reason the reason to keep for building explanations
     180                 :            :    * @return true if a new fact was asserted, false if this call was a no-op.
     181                 :            :    */
     182                 :            :   bool assertPredicate(TNode p,
     183                 :            :                        bool polarity,
     184                 :            :                        TNode reason,
     185                 :            :                        unsigned pid = MERGED_THROUGH_EQUALITY);
     186                 :            :   /**
     187                 :            :    * Adds an equality eq with the given polarity to the database.
     188                 :            :    *
     189                 :            :    * @param eq the (non-negated) equality
     190                 :            :    * @param polarity true if asserting the equality, false if
     191                 :            :    *                 asserting the negated equality
     192                 :            :    * @param reason the reason to keep for building explanations
     193                 :            :    * @return true if a new fact was asserted, false if this call was a no-op.
     194                 :            :    */
     195                 :            :   bool assertEquality(TNode eq,
     196                 :            :                       bool polarity,
     197                 :            :                       TNode reason,
     198                 :            :                       unsigned pid = MERGED_THROUGH_EQUALITY);
     199                 :            : 
     200                 :            :   //--------------------end updates
     201                 :            :   //--------------------------- explanation methods
     202                 :            :   /**
     203                 :            :    * Get an explanation of the equality t1 = t2 being true or false.
     204                 :            :    * Returns the reasons (added when asserting) that imply it
     205                 :            :    * in the assertions vector.
     206                 :            :    */
     207                 :            :   void explainEquality(TNode t1,
     208                 :            :                        TNode t2,
     209                 :            :                        bool polarity,
     210                 :            :                        std::vector<TNode>& assertions,
     211                 :            :                        EqProof* eqp = nullptr) const;
     212                 :            : 
     213                 :            :   /**
     214                 :            :    * Get an explanation of the predicate being true or false.
     215                 :            :    * Returns the reasons (added when asserting) that imply imply it
     216                 :            :    * in the assertions vector.
     217                 :            :    */
     218                 :            :   void explainPredicate(TNode p,
     219                 :            :                         bool polarity,
     220                 :            :                         std::vector<TNode>& assertions,
     221                 :            :                         EqProof* eqp = nullptr) const;
     222                 :            : 
     223                 :            :   /**
     224                 :            :    * Explain literal, add its explanation to assumptions. This method does not
     225                 :            :    * add duplicates to assumptions. It requires that the literal
     226                 :            :    * holds in this class. If lit is a disequality, it
     227                 :            :    * moreover ensures this class is ready to explain it via areDisequal with
     228                 :            :    * ensureProof = true.
     229                 :            :    */
     230                 :            :   void explainLit(TNode lit, std::vector<TNode>& assumptions) const;
     231                 :            :   /**
     232                 :            :    * Explain literal, return the explanation as a conjunction. This method
     233                 :            :    * relies on the above method.
     234                 :            :    */
     235                 :            :   Node mkExplainLit(TNode lit) const;
     236                 :            :   //--------------------------- end explanation methods
     237                 :            : 
     238                 :            :   /**
     239                 :            :    * Check whether the node is already in the database.
     240                 :            :    */
     241                 :            :   bool hasTerm(TNode t) const;
     242                 :            :   /**
     243                 :            :    * Returns the current representative of the term t.
     244                 :            :    */
     245                 :            :   TNode getRepresentative(TNode t) const;
     246                 :            :   /**
     247                 :            :    * Returns the representative trigger term of the given term.
     248                 :            :    *
     249                 :            :    * @param t the term to check where isTriggerTerm(t) should be true
     250                 :            :    */
     251                 :            :   TNode getTriggerTermRepresentative(TNode t, TheoryId theoryTag) const;
     252                 :            :   /**
     253                 :            :    * Returns true if the two terms are equal. Requires both terms to
     254                 :            :    * be in the database.
     255                 :            :    */
     256                 :            :   bool areEqual(TNode t1, TNode t2) const;
     257                 :            :   /**
     258                 :            :    * Check whether the two term are dis-equal. Requires both terms to
     259                 :            :    * be in the database.
     260                 :            :    */
     261                 :            :   bool areDisequal(TNode t1, TNode t2, bool ensureProof) const;
     262                 :            :   /**
     263                 :            :    * Returns true if the engine is in a consistent state.
     264                 :            :    */
     265                 :   17781472 :   bool consistent() const { return !d_done; }
     266                 :            :   /** Identify this equality engine (for debugging, etc..) */
     267                 :            :   std::string identify() const;
     268                 :            :   /** Print the equivalence classes for debugging */
     269                 :            :   std::string debugPrintEqc() const;
     270                 :            : 
     271                 :            :  private:
     272                 :            :   /** Statistics about the equality engine instance */
     273                 :            :   struct Statistics
     274                 :            :   {
     275                 :            :     /** Total number of merges */
     276                 :            :     IntStat d_mergesCount;
     277                 :            :     /** Number of terms managed by the system */
     278                 :            :     IntStat d_termsCount;
     279                 :            :     /** Number of function terms managed by the system */
     280                 :            :     IntStat d_functionTermsCount;
     281                 :            :     /** Number of constant terms managed by the system */
     282                 :            :     IntStat d_constantTermsCount;
     283                 :            : 
     284                 :            :     Statistics(StatisticsRegistry& sr, const std::string& name);
     285                 :            :   };
     286                 :            : 
     287                 :            :   /** The context we are using */
     288                 :            :   context::Context* d_context;
     289                 :            : 
     290                 :            :   /** If we are done, we don't except any new assertions */
     291                 :            :   context::CDO<bool> d_done;
     292                 :            : 
     293                 :            :   /** The class to notify when a representative changes for a term */
     294                 :            :   EqualityEngineNotify* d_notify;
     295                 :            : 
     296                 :            :   /** The map of kinds to be treated as function applications */
     297                 :            :   KindMap d_congruenceKinds;
     298                 :            : 
     299                 :            :   /** The map of kinds to be treated as interpreted function applications (for evaluation of constants) */
     300                 :            :   KindMap d_congruenceKindsInterpreted;
     301                 :            : 
     302                 :            :   /** The map of kinds with operators to be considered external (for higher-order) */
     303                 :            :   KindMap d_congruenceKindsExtOperators;
     304                 :            : 
     305                 :            :   /** Map from nodes to their ids */
     306                 :            :   std::unordered_map<TNode, EqualityNodeId> d_nodeIds;
     307                 :            : 
     308                 :            :   /** Map from function applications to their ids */
     309                 :            :   typedef std::unordered_map<FunctionApplication, EqualityNodeId, FunctionApplicationHashFunction> ApplicationIdsMap;
     310                 :            : 
     311                 :            :   /**
     312                 :            :    * A map from a pair (a', b') to a function application f(a, b), where a' and b' are the current representatives
     313                 :            :    * of a and b.
     314                 :            :    */
     315                 :            :   ApplicationIdsMap d_applicationLookup;
     316                 :            : 
     317                 :            :   /** Application lookups in order, so that we can backtrack. */
     318                 :            :   std::vector<FunctionApplication> d_applicationLookups;
     319                 :            : 
     320                 :            :   /** Number of application lookups, for backtracking.  */
     321                 :            :   context::CDO<DefaultSizeType> d_applicationLookupsCount;
     322                 :            : 
     323                 :            :   /**
     324                 :            :    * Return the number of nodes in the equivalence class containing t
     325                 :            :    * Adds t if not already there.
     326                 :            :    */
     327                 :            :   size_t getSize(TNode t);
     328                 :            :   /**
     329                 :            :    * Store the application lookup, with enough information to backtrack
     330                 :            :    */
     331                 :            :   void storeApplicationLookup(FunctionApplication& funNormalized, EqualityNodeId funId);
     332                 :            : 
     333                 :            :   /** notify trigger term equality */
     334                 :   12761516 :   bool notifyTriggerTermEquality(TheoryId tag, TNode t1, TNode t2, bool value)
     335                 :            :   {
     336                 :            :     // since we will be generating an equality, we orient t1/t2 in the standard
     337                 :            :     // equality order used by the rewriter for most theories.
     338         [ +  + ]:   12761516 :     if (t1 > t2)
     339                 :            :     {
     340                 :    2689470 :       return d_notify->eqNotifyTriggerTermEquality(tag, t2, t1, value);
     341                 :            :     }
     342                 :   10072046 :     return d_notify->eqNotifyTriggerTermEquality(tag, t1, t2, value);
     343                 :            :   }
     344                 :            : 
     345                 :            :   /** Map from ids to the nodes (these need to be nodes as we pick up the operators) */
     346                 :            :   std::vector<Node> d_nodes;
     347                 :            : 
     348                 :            :   /** A context-dependents count of nodes */
     349                 :            :   context::CDO<DefaultSizeType> d_nodesCount;
     350                 :            : 
     351                 :            :   /** Map from ids to the applications */
     352                 :            :   std::vector<FunctionApplicationPair> d_applications;
     353                 :            : 
     354                 :            :   /** Map from ids to the equality nodes */
     355                 :            :   std::vector<EqualityNode> d_equalityNodes;
     356                 :            : 
     357                 :            :   /** Number of asserted equalities we have so far */
     358                 :            :   context::CDO<DefaultSizeType> d_assertedEqualitiesCount;
     359                 :            : 
     360                 :            :   /** Memory for the use-list nodes */
     361                 :            :   std::vector<UseListNode> d_useListNodes;
     362                 :            : 
     363                 :            :   /**
     364                 :            :    * We keep a list of asserted equalities. Not among original terms, but
     365                 :            :    * among the class representatives.
     366                 :            :    */
     367                 :            :   struct Equality {
     368                 :            :     /** Left hand side of the equality */
     369                 :            :     EqualityNodeId d_lhs;
     370                 :            :     /** Right hand side of the equality */
     371                 :            :     EqualityNodeId d_rhs;
     372                 :            :     /** Equality constructor */
     373                 :   61170241 :     Equality(EqualityNodeId l = null_id, EqualityNodeId r = null_id)
     374                 :   61170241 :         : d_lhs(l), d_rhs(r)
     375                 :            :     {
     376                 :   61170241 :     }
     377                 :            :   };/* struct EqualityEngine::Equality */
     378                 :            : 
     379                 :            :   /** The ids of the classes we have merged */
     380                 :            :   std::vector<Equality> d_assertedEqualities;
     381                 :            : 
     382                 :            :   /** The reasons for the equalities */
     383                 :            : 
     384                 :            :   /**
     385                 :            :    * An edge in the equality graph. This graph is an undirected graph (both edges added)
     386                 :            :    * containing the actual asserted equalities.
     387                 :            :    */
     388                 :            :   class EqualityEdge {
     389                 :            : 
     390                 :            :     // The id of the RHS of this equality
     391                 :            :     EqualityNodeId d_nodeId;
     392                 :            :     // The next edge
     393                 :            :     EqualityEdgeId d_nextId;
     394                 :            :     // Type of reason for this equality
     395                 :            :     unsigned d_mergeType;
     396                 :            :     // Reason of this equality
     397                 :            :     TNode d_reason;
     398                 :            : 
     399                 :            :   public:
     400                 :            : 
     401                 :          0 :     EqualityEdge():
     402                 :          0 :       d_nodeId(null_edge), d_nextId(null_edge), d_mergeType(MERGED_THROUGH_CONGRUENCE) {}
     403                 :            : 
     404                 :  122340482 :     EqualityEdge(EqualityNodeId nodeId, EqualityNodeId nextId, unsigned type, TNode reason):
     405                 :  122340482 :       d_nodeId(nodeId), d_nextId(nextId), d_mergeType(type), d_reason(reason) {}
     406                 :            : 
     407                 :            :     /** Returns the id of the next edge */
     408                 :  179179562 :     EqualityEdgeId getNext() const { return d_nextId; }
     409                 :            : 
     410                 :            :     /** Returns the id of the target edge node */
     411                 :  215349554 :     EqualityNodeId getNodeId() const { return d_nodeId; }
     412                 :            : 
     413                 :            :     /** The reason of this edge */
     414                 :    9826921 :     unsigned getReasonType() const { return d_mergeType; }
     415                 :            : 
     416                 :            :     /** The reason of this edge */
     417                 :    9826921 :     TNode getReason() const { return d_reason; }
     418                 :            :   };/* class EqualityEngine::EqualityEdge */
     419                 :            : 
     420                 :            :   /**
     421                 :            :    * All the equality edges (twice as many as the number of asserted equalities. If an equality
     422                 :            :    * t1 = t2 is asserted, the edges added are -> t2, -> t1 (in this order). Hence, having the index
     423                 :            :    * of one of the edges you can reconstruct the original equality.
     424                 :            :    */
     425                 :            :   std::vector<EqualityEdge> d_equalityEdges;
     426                 :            : 
     427                 :            :   /**
     428                 :            :    * Returns the string representation of the edges.
     429                 :            :    */
     430                 :            :   std::string edgesToString(EqualityEdgeId edgeId) const;
     431                 :            : 
     432                 :            :   /**
     433                 :            :    * Map from a node to its first edge in the equality graph. Edges are added to the front of the
     434                 :            :    * list which makes the insertion/backtracking easy.
     435                 :            :    */
     436                 :            :   std::vector<EqualityEdgeId> d_equalityGraph;
     437                 :            : 
     438                 :            :   /** Add an edge to the equality graph */
     439                 :            :   void addGraphEdge(EqualityNodeId t1, EqualityNodeId t2, unsigned type, TNode reason);
     440                 :            : 
     441                 :            :   /** Returns the equality node of the given node */
     442                 :            :   EqualityNode& getEqualityNode(TNode node);
     443                 :            : 
     444                 :            :   /** Returns the equality node of the given node */
     445                 :            :   const EqualityNode& getEqualityNode(TNode node) const;
     446                 :            : 
     447                 :            :   /** Returns the equality node of the given node */
     448                 :            :   EqualityNode& getEqualityNode(EqualityNodeId nodeId);
     449                 :            : 
     450                 :            :   /** Returns the equality node of the given node */
     451                 :            :   const EqualityNode& getEqualityNode(EqualityNodeId nodeId) const;
     452                 :            : 
     453                 :            :   /** Returns the id of the node */
     454                 :            :   EqualityNodeId getNodeId(TNode node) const;
     455                 :            : 
     456                 :            :   /**
     457                 :            :    * Merge the class2 into class1
     458                 :            :    * @return true if ok, false if to break out
     459                 :            :    */
     460                 :            :   bool merge(EqualityNode& class1, EqualityNode& class2, std::vector<TriggerId>& triggers);
     461                 :            : 
     462                 :            :   /** Undo the merge of class2 into class1 */
     463                 :            :   void undoMerge(EqualityNode& class1, EqualityNode& class2, EqualityNodeId class2Id);
     464                 :            : 
     465                 :            :   /** Backtrack the information if necessary */
     466                 :            :   void backtrack();
     467                 :            : 
     468                 :            :   /**
     469                 :            :    * Trigger that will be updated
     470                 :            :    */
     471                 :            :   struct Trigger {
     472                 :            :     /** The current class id of the LHS of the trigger */
     473                 :            :     EqualityNodeId d_classId;
     474                 :            :     /** Next trigger for class */
     475                 :            :     TriggerId d_nextTrigger;
     476                 :            : 
     477                 :    6826436 :     Trigger(EqualityNodeId classId = null_id,
     478                 :            :             TriggerId nextTrigger = null_trigger)
     479                 :    6826436 :         : d_classId(classId), d_nextTrigger(nextTrigger)
     480                 :            :     {
     481                 :    6826436 :     }
     482                 :            :   };/* struct EqualityEngine::Trigger */
     483                 :            : 
     484                 :            :   /**
     485                 :            :    * Vector of triggers. Triggers come in pairs for an
     486                 :            :    * equality trigger (t1, t2): one at position 2k for t1, and one at position 2k + 1 for t2. When
     487                 :            :    * updating triggers we always know where the other one is (^1).
     488                 :            :    */
     489                 :            :   std::vector<Trigger> d_equalityTriggers;
     490                 :            : 
     491                 :            :   /**
     492                 :            :    * Vector of original equalities of the triggers.
     493                 :            :    */
     494                 :            :   std::vector<TriggerInfo> d_equalityTriggersOriginal;
     495                 :            : 
     496                 :            :   /**
     497                 :            :    * Context dependent count of triggers
     498                 :            :    */
     499                 :            :   context::CDO<DefaultSizeType> d_equalityTriggersCount;
     500                 :            : 
     501                 :            :   /**
     502                 :            :    * Trigger lists per node. The begin id changes as we merge, but the end always points to
     503                 :            :    * the actual end of the triggers for this node.
     504                 :            :    */
     505                 :            :   std::vector<TriggerId> d_nodeTriggers;
     506                 :            : 
     507                 :            :   /**
     508                 :            :    * Map from ids to whether they are constants (constants are always
     509                 :            :    * representatives of their class.
     510                 :            :    */
     511                 :            :   std::vector<bool> d_isConstant;
     512                 :            : 
     513                 :            :   /**
     514                 :            :    * Map from ids of proper terms, to the number of non-constant direct subterms. If we update an interpreted
     515                 :            :    * application to a constant, we can decrease this value. If we hit 0, we can evaluate the term.
     516                 :            :    *
     517                 :            :    */
     518                 :            :   std::vector<unsigned> d_subtermsToEvaluate;
     519                 :            : 
     520                 :            :   /**
     521                 :            :    * For nodes that we need to postpone evaluation.
     522                 :            :    */
     523                 :            :   std::queue<EqualityNodeId> d_evaluationQueue;
     524                 :            : 
     525                 :            :   /**
     526                 :            :    * Evaluate all terms in the evaluation queue.
     527                 :            :    */
     528                 :            :   void processEvaluationQueue();
     529                 :            : 
     530                 :            :   /** Vector of nodes that evaluate. */
     531                 :            :   std::vector<EqualityNodeId> d_subtermEvaluates;
     532                 :            : 
     533                 :            :   /** Size of the nodes that evaluate vector. */
     534                 :            :   context::CDO<unsigned> d_subtermEvaluatesSize;
     535                 :            : 
     536                 :            :   /** Set the node evaluate flag */
     537                 :            :   void subtermEvaluates(EqualityNodeId id);
     538                 :            : 
     539                 :            :   /**
     540                 :            :    * Returns the evaluation of the term when all (direct) children are replaced with
     541                 :            :    * the constant representatives.
     542                 :            :    */
     543                 :            :   Node evaluateTerm(TNode node);
     544                 :            : 
     545                 :            :   /**
     546                 :            :    * Returns true if it's a constant
     547                 :            :    */
     548                 :     374841 :   bool isConstant(EqualityNodeId id) const {
     549                 :     374841 :     return d_isConstant[getEqualityNode(id).getFind()];
     550                 :            :   }
     551                 :            : 
     552                 :            :   /**
     553                 :            :    * Map from ids to whether they are Boolean.
     554                 :            :    */
     555                 :            :   std::vector<bool> d_isEquality;
     556                 :            : 
     557                 :            :   /**
     558                 :            :    * Map from ids to whether the nods is internal. An internal node is a node
     559                 :            :    * that corresponds to a partially currified node, for example.
     560                 :            :    */
     561                 :            :   std::vector<bool> d_isInternal;
     562                 :            : 
     563                 :            :   /**
     564                 :            :    * Adds the trigger with triggerId to the beginning of the trigger list of the node with id nodeId.
     565                 :            :    */
     566                 :            :   void addTriggerToList(EqualityNodeId nodeId, TriggerId triggerId);
     567                 :            : 
     568                 :            :   /** Statistics */
     569                 :            :   Statistics d_stats;
     570                 :            : 
     571                 :            :   /** Add a new function application node to the database, i.e APP t1 t2 */
     572                 :            :   EqualityNodeId newApplicationNode(TNode original, EqualityNodeId t1, EqualityNodeId t2, FunctionApplicationType type);
     573                 :            : 
     574                 :            :   /** Add a new node to the database */
     575                 :            :   EqualityNodeId newNode(TNode t);
     576                 :            : 
     577                 :            :   /** Propagation queue */
     578                 :            :   std::deque<MergeCandidate> d_propagationQueue;
     579                 :            : 
     580                 :            :   /** Enqueue to the propagation queue */
     581                 :            :   void enqueue(const MergeCandidate& candidate, bool back = true);
     582                 :            : 
     583                 :            :   /** Do the propagation */
     584                 :            :   void propagate();
     585                 :            : 
     586                 :            :   /** Are we in propagate */
     587                 :            :   bool d_inPropagate;
     588                 :            : 
     589                 :            :   /** Construction of equality conclusions for EqProofs
     590                 :            :    *
     591                 :            :    * Given two equality node ids, build an equality between the nodes they
     592                 :            :    * correspond to and add it as a conclusion to the given EqProof.
     593                 :            :    *
     594                 :            :    * The equality is only built if the nodes the ids correspond to are not
     595                 :            :    * internal nodes in the equality engine, i.e., they correspond to full
     596                 :            :    * applications of the respective kinds. Since the equality engine also
     597                 :            :    * applies congruence over n-ary kinds, internal nodes, i.e., partial
     598                 :            :    * applications, may still correspond to "full applications" in the
     599                 :            :    * first-order sense. Therefore this method also checks, in the case of n-ary
     600                 :            :    * congruence kinds, if an equality between "full applications" can be built.
     601                 :            :    */
     602                 :            :   void buildEqConclusion(EqualityNodeId id1,
     603                 :            :                          EqualityNodeId id2,
     604                 :            :                          EqProof* eqp) const;
     605                 :            : 
     606                 :            :   /**
     607                 :            :    * Get an explanation of the equality t1 = t2. Returns the asserted equalities
     608                 :            :    * that imply t1 = t2. Returns TNodes as the assertion equalities should be
     609                 :            :    * hashed somewhere else.
     610                 :            :    *
     611                 :            :    * This call refers to terms t1 and t2 by their ids t1Id and t2Id.
     612                 :            :    *
     613                 :            :    * If eqp is non-null, then this method populates eqp's information and
     614                 :            :    * children such that it is a proof of t1 = t2.
     615                 :            :    *
     616                 :            :    * We cache results of this call in cache, where cache[t1Id][t2Id] stores
     617                 :            :    * a proof of t1 = t2.
     618                 :            :    */
     619                 :            :   void getExplanation(
     620                 :            :       EqualityEdgeId t1Id,
     621                 :            :       EqualityNodeId t2Id,
     622                 :            :       std::vector<TNode>& equalities,
     623                 :            :       std::map<std::pair<EqualityNodeId, EqualityNodeId>, EqProof*>& cache,
     624                 :            :       EqProof* eqp) const;
     625                 :            : 
     626                 :            :   /**
     627                 :            :    * Print the equality graph.
     628                 :            :    */
     629                 :            :   void debugPrintGraph() const;
     630                 :            : 
     631                 :            :   /** The true node */
     632                 :            :   Node d_true;
     633                 :            :   /** True node id */
     634                 :            :   EqualityNodeId d_trueId;
     635                 :            : 
     636                 :            :   /** The false node */
     637                 :            :   Node d_false;
     638                 :            :   /** False node id */
     639                 :            :   EqualityNodeId d_falseId;
     640                 :            : 
     641                 :            :   /**
     642                 :            :    * Adds an equality of terms t1 and t2 to the database.
     643                 :            :    */
     644                 :            :   void assertEqualityInternal(TNode t1, TNode t2, TNode reason, unsigned pid = MERGED_THROUGH_EQUALITY);
     645                 :            : 
     646                 :            :   /**
     647                 :            :    * Adds a trigger equality to the database with the trigger node and polarity for notification.
     648                 :            :    */
     649                 :            :   void addTriggerEqualityInternal(TNode t1, TNode t2, TNode trigger, bool polarity);
     650                 :            : 
     651                 :            :   /**
     652                 :            :    * This method gets called on backtracks from the context manager.
     653                 :            :    */
     654                 :  116901085 :   void contextNotifyPop() override { backtrack(); }
     655                 :            : 
     656                 :            :   /**
     657                 :            :    * Constructor initialization stuff.
     658                 :            :    */
     659                 :            :   void init();
     660                 :            : 
     661                 :            :   /** Set of trigger terms */
     662                 :            :   struct TriggerTermSet {
     663                 :            :     /** Set of theories in this set */
     664                 :            :     TheoryIdSet d_tags;
     665                 :            :     /** The trigger terms */
     666                 :            :     EqualityNodeId d_triggers[0];
     667                 :            :     /** Returns the theory tags */
     668                 :            :     TheoryIdSet hasTrigger(TheoryId tag) const;
     669                 :            :     /** Returns a trigger by tag */
     670                 :            :     EqualityNodeId getTrigger(TheoryId tag) const;
     671                 :            :   };/* struct EqualityEngine::TriggerTermSet */
     672                 :            : 
     673                 :            :   /** Are the constants triggers */
     674                 :            :   bool d_constantsAreTriggers;
     675                 :            :   /**
     676                 :            :    * Are any terms triggers? If this is false, then all trigger terms are
     677                 :            :    * ignored (e.g. this means that addTriggerTerm is equivalent to addTerm).
     678                 :            :    */
     679                 :            :   bool d_anyTermsAreTriggers;
     680                 :            : 
     681                 :            :   /** The information about trigger terms is stored in this easily maintained memory. */
     682                 :            :   char* d_triggerDatabase;
     683                 :            : 
     684                 :            :   /** Allocated size of the trigger term database */
     685                 :            :   DefaultSizeType d_triggerDatabaseAllocatedSize;
     686                 :            : 
     687                 :            :   /** Reference for the trigger terms set */
     688                 :            :   typedef DefaultSizeType TriggerTermSetRef;
     689                 :            : 
     690                 :            :   /** Null reference */
     691                 :            :   static const TriggerTermSetRef null_set_id = (TriggerTermSetRef)(-1);
     692                 :            : 
     693                 :            :   /** Create new trigger term set based on the internally set information */
     694                 :            :   TriggerTermSetRef newTriggerTermSet(TheoryIdSet newSetTags,
     695                 :            :                                       EqualityNodeId* newSetTriggers,
     696                 :            :                                       unsigned newSetTriggersSize);
     697                 :            : 
     698                 :            :   /** Get the trigger set give a reference */
     699                 :  164635004 :   TriggerTermSet& getTriggerTermSet(TriggerTermSetRef ref) {
     700 [ -  + ][ -  + ]:  164635004 :     Assert(ref < d_triggerDatabaseSize);
                 [ -  - ]
     701                 :  164635004 :     return *(reinterpret_cast<TriggerTermSet*>(d_triggerDatabase + ref));
     702                 :            :   }
     703                 :            : 
     704                 :            :   /** Get the trigger set give a reference */
     705                 :   15874880 :   const TriggerTermSet& getTriggerTermSet(TriggerTermSetRef ref) const {
     706 [ -  + ][ -  + ]:   15874880 :     Assert(ref < d_triggerDatabaseSize);
                 [ -  - ]
     707                 :   15874880 :     return *(reinterpret_cast<const TriggerTermSet*>(d_triggerDatabase + ref));
     708                 :            :   }
     709                 :            : 
     710                 :            :   /** Used part of the trigger term database */
     711                 :            :   context::CDO<DefaultSizeType> d_triggerDatabaseSize;
     712                 :            : 
     713                 :            :   struct TriggerSetUpdate {
     714                 :            :     EqualityNodeId d_classId;
     715                 :            :     TriggerTermSetRef d_oldValue;
     716                 :   10782325 :     TriggerSetUpdate(EqualityNodeId classId = null_id,
     717                 :            :                      TriggerTermSetRef oldValue = null_set_id)
     718                 :   10782325 :         : d_classId(classId), d_oldValue(oldValue)
     719                 :            :     {
     720                 :   10782325 :     }
     721                 :            :   };/* struct EqualityEngine::TriggerSetUpdate */
     722                 :            : 
     723                 :            :   /**
     724                 :            :    * List of trigger updates for backtracking.
     725                 :            :    */
     726                 :            :   std::vector<TriggerSetUpdate> d_triggerTermSetUpdates;
     727                 :            : 
     728                 :            :   /**
     729                 :            :    * Size of the individual triggers list.
     730                 :            :    */
     731                 :            :   context::CDO<unsigned> d_triggerTermSetUpdatesSize;
     732                 :            : 
     733                 :            :   /**
     734                 :            :    * Map from ids to the individual trigger set representatives.
     735                 :            :    */
     736                 :            :   std::vector<TriggerTermSetRef> d_nodeIndividualTrigger;
     737                 :            : 
     738                 :            :   typedef std::unordered_map<EqualityPair, DisequalityReasonRef, EqualityPairHashFunction> DisequalityReasonsMap;
     739                 :            : 
     740                 :            :   /**
     741                 :            :    * A map from pairs of disequal terms, to the reason why we deduced they are disequal.
     742                 :            :    */
     743                 :            :   DisequalityReasonsMap d_disequalityReasonsMap;
     744                 :            : 
     745                 :            :   /**
     746                 :            :    * A list of all the disequalities we deduced.
     747                 :            :    */
     748                 :            :   std::vector<EqualityPair> d_deducedDisequalities;
     749                 :            : 
     750                 :            :   /**
     751                 :            :    * Context dependent size of the deduced disequalities
     752                 :            :    */
     753                 :            :   context::CDO<size_t> d_deducedDisequalitiesSize;
     754                 :            : 
     755                 :            :   /**
     756                 :            :    * For each disequality deduced, we add the pairs of equivalences needed to explain it.
     757                 :            :    */
     758                 :            :   std::vector<EqualityPair> d_deducedDisequalityReasons;
     759                 :            : 
     760                 :            :   /**
     761                 :            :    * Size of the memory for disequality reasons.
     762                 :            :    */
     763                 :            :   context::CDO<size_t> d_deducedDisequalityReasonsSize;
     764                 :            : 
     765                 :            :   /**
     766                 :            :    * Map from equalities to the tags that have received the notification.
     767                 :            :    */
     768                 :            :   typedef context::
     769                 :            :       CDHashMap<EqualityPair, TheoryIdSet, EqualityPairHashFunction>
     770                 :            :           PropagatedDisequalitiesMap;
     771                 :            :   PropagatedDisequalitiesMap d_propagatedDisequalities;
     772                 :            : 
     773                 :            :   /**
     774                 :            :    * Has this equality been propagated to anyone.
     775                 :            :    */
     776                 :            :   bool hasPropagatedDisequality(EqualityNodeId lhsId, EqualityNodeId rhsId) const;
     777                 :            : 
     778                 :            :   /**
     779                 :            :    * Has this equality been propagated to the tag owner.
     780                 :            :    */
     781                 :            :   bool hasPropagatedDisequality(TheoryId tag, EqualityNodeId lhsId, EqualityNodeId rhsId) const;
     782                 :            : 
     783                 :            :   /**
     784                 :            :    * Stores a propagated disequality for explanation purposes and remembers the reasons. The
     785                 :            :    * reasons should be pushed on the reasons vector.
     786                 :            :    */
     787                 :            :   void storePropagatedDisequality(TheoryId tag, EqualityNodeId lhsId, EqualityNodeId rhsId);
     788                 :            : 
     789                 :            :   /**
     790                 :            :    * An equality tagged with a set of tags.
     791                 :            :    */
     792                 :            :   struct TaggedEquality {
     793                 :            :     /** Id of the equality */
     794                 :            :     EqualityNodeId d_equalityId;
     795                 :            :     /** TriggerSet reference for the class of one of the sides */
     796                 :            :     TriggerTermSetRef d_triggerSetRef;
     797                 :            :     /** Is trigger equivalent to the lhs (rhs otherwise) */
     798                 :            :     bool d_lhs;
     799                 :            : 
     800                 :    1679486 :     TaggedEquality(EqualityNodeId equalityId = null_id,
     801                 :            :                    TriggerTermSetRef triggerSetRef = null_set_id,
     802                 :            :                    bool lhs = true)
     803                 :    1679486 :         : d_equalityId(equalityId), d_triggerSetRef(triggerSetRef), d_lhs(lhs)
     804                 :            :     {
     805                 :    1679486 :     }
     806                 :            :   };
     807                 :            : 
     808                 :            :   /** A map from equivalence class id's to tagged equalities */
     809                 :            :   typedef std::vector<TaggedEquality> TaggedEqualitiesSet;
     810                 :            : 
     811                 :            :   /**
     812                 :            :    * Returns a set of equalities that have been asserted false where one side of the equality
     813                 :            :    * belongs to the given equivalence class. The equalities are restricted to the ones where
     814                 :            :    * one side of the equality is in the tags set, but the other one isn't. Each returned
     815                 :            :    * dis-equality is associated with the tags that are the subset of the input tags, such that
     816                 :            :    * exactly one side of the equality is not in the set yet.
     817                 :            :    *
     818                 :            :    * @param classId the equivalence class to search
     819                 :            :    * @param inputTags the tags to filter the equalities
     820                 :            :    * @param out the output equalities, as described above
     821                 :            :    */
     822                 :            :   void getDisequalities(bool allowConstants,
     823                 :            :                         EqualityNodeId classId,
     824                 :            :                         TheoryIdSet inputTags,
     825                 :            :                         TaggedEqualitiesSet& out);
     826                 :            : 
     827                 :            :   /**
     828                 :            :    * Propagates the remembered disequalities with given tags the original triggers for those tags,
     829                 :            :    * and the set of disequalities produced by above.
     830                 :            :    */
     831                 :            :   bool propagateTriggerTermDisequalities(
     832                 :            :       TheoryIdSet tags,
     833                 :            :       TriggerTermSetRef triggerSetRef,
     834                 :            :       const TaggedEqualitiesSet& disequalitiesToNotify);
     835                 :            : 
     836                 :            :   /** Name of the equality engine */
     837                 :            :   std::string d_name;
     838                 :            : 
     839                 :            :   /** The internal addTerm */
     840                 :            :   void addTermInternal(TNode t, bool isOperator = false);
     841                 :            :   /**
     842                 :            :    * Adds a notify trigger for equality. When equality becomes true
     843                 :            :    * eqNotifyTriggerPredicate will be called with value = true, and when
     844                 :            :    * equality becomes false eqNotifyTriggerPredicate will be called with value =
     845                 :            :    * false.
     846                 :            :    */
     847                 :            :   void addTriggerEquality(TNode equality);
     848                 :            : };
     849                 :            : 
     850                 :            : } // Namespace eq
     851                 :            : } // Namespace theory
     852                 :            : }  // namespace cvc5::internal
     853                 :            : 
     854                 :            : #endif

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