cit_util/src/Equivalence.ig

                                                                           
  Equivalence.ig                                                           
                                                                           
  Generic equivalence classes                                              
                                                                           
  Copyright (c) 2000 California Institute of Technology                    
  All rights reserved.                                                     
  Department of Computer Science                                           
  Pasadena, CA 91125.                                                      
                                                                           
  Author: Karl Papadantonakis <kp@caltech.edu                              
                                                                           
  Permission to use, copy, modify, and distribute this software            
  and its documentation for any purpose and without fee is hereby          
  granted, provided that the above copyright notice appear in all          
  copies. The California Institute of Technology makes no representations  
  about the suitability of this software for any purpose. It is            
  provided as is without express or implied warranty. Export of this     
  software outside of the United States of America may require an          
  export license.                                                          
 $Id: Equivalence.ig.html,v 1.3 2010-04-29 17:17:56 wagner Exp $ 


GENERIC INTERFACE Equivalence(Elem);


A T represents an equivalence relation on the set of all Elem.Ts.
A newly created Default has each Elem.T in its own equivalence
class.


Interface Elem is expected to have the following declaration:



      PROCEDURE Equal(e1, e2: Elem.T): BOOLEAN;


which defines the a priori equality of two elements.


The Default implementation (union-find with path compression using
hash tables) also expects an ElemElemTbl.



TYPE
  T = OBJECT METHODS
    equal(e1, e2: Elem.T): BOOLEAN;

 are e1 and e2 members of the same equivalence class? 

    identify(e1, e2: Elem.T): BOOLEAN;

 join the two equivalence classes represented by e1 and e2.
   return TRUE iff they are already equal. 

    canon(e: Elem.T): Elem.T;

 return the canonical representative of the class containing e. 

    iterate(): Iterator;

 For each element which is not its own canonical representative,
   obtain that element as alias, and
   its canonical representative as canon. 
  END;
  Iterator = OBJECT METHODS
    next(VAR alias, canon: Elem.T): BOOLEAN;
  END;

  Default <: T OBJECT METHODS
    init(sizeHint: CARDINAL := 0;
         leaderPreference: Preference := NIL): Default;
  END;

  Preference = OBJECT METHODS
    is(thisBetter, thanThis: Elem.T): BOOLEAN;
  END;

END Equivalence.