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								/**
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								 * @file   assoc.yap
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								 * @author VITOR SANTOS COSTA <vsc@VITORs-MBP.lan>
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								 * @date   Tue Nov 17 13:53:34 2015
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								 * 
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								 * @brief  Red-Black Implementation of Association Lists.
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								 * 
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								 * This file has been included as an YAP library by Vitor Santos Costa, 1999
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								 *
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								 * Note: the keys should be bound, the associated values need not be.
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								*/
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								:- module(assoc, [
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								        empty_assoc/1,
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									assoc_to_list/2,
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									is_assoc/1,
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									min_assoc/3,
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									max_assoc/3,
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									gen_assoc/3,
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									get_assoc/3,
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									get_assoc/5,
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									get_next_assoc/4,
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									get_prev_assoc/4,
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									list_to_assoc/2,
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									ord_list_to_assoc/2,
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									map_assoc/2,
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									map_assoc/3,
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									put_assoc/4,
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									del_assoc/4,
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										  assoc_to_keys/2,
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									del_min_assoc/4,
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									del_max_assoc/4
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								                 ]).
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											2014-09-11 14:06:57 -05:00
										 
									 
								 
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								/** @defgroup Association_Lists Association Lists
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											2015-01-04 23:58:23 +00:00
										 
									 
								 
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								@ingroup library
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											2014-09-11 14:06:57 -05:00
										 
									 
								 
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								@{
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								The following association list manipulation predicates are available
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								once included with the `use_module(library(assoc))` command. The
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								original library used Richard O'Keefe's implementation, on top of
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								unbalanced binary trees. The current code utilises code from the
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								red-black trees library and emulates the SICStus Prolog interface.
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								The library exports the following definitions:
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								- is/assoc/1
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								*/
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								:- meta_predicate map_assoc(2, +, -), map_assoc(1, +).
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											2015-11-18 15:06:25 +00:00
										 
									 
								 
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								:- use_module(library(rbtrees), [
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									rb_empty/1,
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									rb_visit/2,
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									is_rbtree/1,
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									rb_min/3,
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									rb_max/3,
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									rb_in/3,
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									rb_lookup/3,
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									rb_update/5,
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									rb_next/4,
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									rb_previous/4,
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									list_to_rbtree/2,
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									ord_list_to_rbtree/2,
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									rb_map/2,
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									rb_map/3,
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									rb_keys/2,
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									rb_update/4,
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									rb_insert/4,
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									rb_delete/4,
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									rb_del_min/4,
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									rb_del_max/4
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								    ]).
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								/** @pred empty_assoc(+ _Assoc_) 
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											2014-09-11 14:06:57 -05:00
										 
									 
								 
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								Succeeds if association list  _Assoc_ is empty.
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								*/
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								empty_assoc(t).
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								/** @pred assoc_to_list(+ _Assoc_,? _List_) 
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								Given an association list  _Assoc_ unify  _List_ with a list of
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								the form  _Key-Val_, where the elements  _Key_ are in ascending
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								order.
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								*/
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								assoc_to_list(t, L) :- !, L = [].
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								assoc_to_list(T, L) :-
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									rb_visit(T, L).
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								/** @pred is_assoc(+ _Assoc_) 
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								Succeeds if  _Assoc_ is an association list, that is, if it is a
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								red-black tree.
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								*/
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								is_assoc(t) :- !.
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								is_assoc(T) :-
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									is_rbtree(T).
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											2014-09-11 14:06:57 -05:00
										 
									 
								 
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											2015-11-18 15:06:25 +00:00
										 
									 
								 
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								/** @pred min_assoc(+ _Assoc_,- _Key_,? _Value_) 
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											2014-09-11 14:06:57 -05:00
										 
									 
								 
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											2015-11-18 15:06:25 +00:00
										 
									 
								 
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								Given the association list
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								 _Assoc_,  _Key_ in the smallest key in the list, and  _Value_
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								the associated value.
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								*/
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											2015-11-18 15:06:25 +00:00
										 
									 
								 
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								min_assoc(T,K,V) :-
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									rb_min(T,K,V).
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											2014-09-11 14:06:57 -05:00
										 
									 
								 
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											2015-11-18 15:06:25 +00:00
										 
									 
								 
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								/** @pred max_assoc(+ _Assoc_,- _Key_,? _Value_) 
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											2014-09-11 14:06:57 -05:00
										 
									 
								 
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											2015-11-18 15:06:25 +00:00
										 
									 
								 
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								Given the association list
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								 _Assoc_,  _Key_ in the largest key in the list, and  _Value_
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								the associated value.
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											2014-09-11 14:06:57 -05:00
										 
									 
								 
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								*/
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								max_assoc(T,K,V) :-
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									rb_max(T,K,V).
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											2016-02-18 19:41:11 +00:00
										 
									 
								 
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								/** @pred gen_assoc( ?Key, +Assoc, ?Valu_) 
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											2014-09-11 14:06:57 -05:00
										 
									 
								 
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								Given the association list  _Assoc_, unify  _Key_ and  _Value_
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											2016-02-18 19:41:11 +00:00
										 
									 
								 
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							 | 
							
								
							 | 
							
							
								with a key-value  pair in the list. It can be used to enumerate all elements
							 | 
						
					
						
							
								
									
										
										
										
											2015-11-18 15:06:25 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								in the association list. 
							 | 
						
					
						
							
								
									
										
										
										
											2014-09-11 14:06:57 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								*/
							 | 
						
					
						
							
								
									
										
										
										
											2016-02-18 19:41:11 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								gen_assoc(K, T, V) :-
							 | 
						
					
						
							
								
									
										
										
										
											2015-11-18 15:06:25 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									rb_in(K,V,T).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2014-09-11 14:06:57 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								/** @pred get_assoc(+ _Key_,+ _Assoc_,? _Value_) 
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								If  _Key_ is one of the elements in the association list  _Assoc_,
							 | 
						
					
						
							
								
									
										
										
										
											2015-11-18 15:06:25 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								return the associated value. 
							 | 
						
					
						
							
								
									
										
										
										
											2014-09-11 14:06:57 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								*/
							 | 
						
					
						
							
								
									
										
										
										
											2015-11-18 15:06:25 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								get_assoc(K,T,V) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									rb_lookup(K,V,T).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2014-09-11 14:06:57 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								/** @pred get_assoc(+ _Key_,+ _Assoc_,? _Value_,+ _NAssoc_,? _NValue_) 
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								If  _Key_ is one of the elements in the association list  _Assoc_,
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								return the associated value  _Value_ and a new association list
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								 _NAssoc_ where  _Key_ is associated with  _NValue_.
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								 
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								*/
							 | 
						
					
						
							
								
									
										
										
										
											2015-11-18 15:06:25 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								get_assoc(K,T,V,NT,NV) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									rb_update(T,K,V,NV,NT).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2014-09-11 14:06:57 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								/** @pred get_next_assoc(+ _Key_,+ _Assoc_,? _Next_,? _Value_)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								If  _Key_ is one of the elements in the association list  _Assoc_,
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								return the next key,  _Next_, and its value,  _Value_.
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								 
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								*/
							 | 
						
					
						
							
								
									
										
										
										
											2015-11-18 15:06:25 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								get_next_assoc(K,T,KN,VN) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									rb_next(T,K,KN,VN).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2014-09-11 14:06:57 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								/** @pred get_prev_assoc(+ _Key_,+ _Assoc_,? _Next_,? _Value_) 
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								If  _Key_ is one of the elements in the association list  _Assoc_,
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								return the previous key,  _Next_, and its value,  _Value_.
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								 
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								*/
							 | 
						
					
						
							
								
									
										
										
										
											2015-11-18 15:06:25 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								get_prev_assoc(K,T,KP,VP) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									rb_previous(T,K,KP,VP).
							 | 
						
					
						
							
								
									
										
										
										
											2014-09-11 14:06:57 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								/** @pred list_to_assoc(+ _List_,? _Assoc_) 
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								Given a list  _List_ such that each element of  _List_ is of the
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								form  _Key-Val_, and all the  _Keys_ are unique,  _Assoc_ is
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								the corresponding association list.
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								 
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								*/
							 | 
						
					
						
							
								
									
										
										
										
											2015-11-18 15:06:25 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								list_to_assoc(L, T) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									list_to_rbtree(L, T).
							 | 
						
					
						
							
								
									
										
										
										
											2014-09-11 14:06:57 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								/** @pred ord_list_to_assoc(+ _List_,? _Assoc_) 
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								Given an ordered list  _List_ such that each element of  _List_ is
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								of the form  _Key-Val_, and all the  _Keys_ are unique,  _Assoc_ is
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								the corresponding association list.
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								 
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								*/
							 | 
						
					
						
							
								
									
										
										
										
											2015-11-18 15:06:25 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								ord_list_to_assoc(L, T) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									ord_list_to_rbtree(L, T).
							 | 
						
					
						
							
								
									
										
										
										
											2001-04-09 19:54:03 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-11-18 15:06:25 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								/** @pred map_assoc(+ _Pred_,+ _Assoc_) 
							 | 
						
					
						
							
								
									
										
										
										
											2001-04-09 19:54:03 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-11-18 15:06:25 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								Succeeds if the unary predicate name  _Pred_( _Val_) holds for every
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								element in the association list.
							 | 
						
					
						
							
								
									
										
										
										
											2001-04-09 19:54:03 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-11-18 15:06:25 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								 
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								*/
							 | 
						
					
						
							
								
									
										
										
										
											2007-10-16 23:17:04 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								map_assoc(t, _) :- !.
							 | 
						
					
						
							
								
									
										
										
										
											2006-04-10 19:24:52 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								map_assoc(P, T) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									yap_flag(typein_module, M0),
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									extract_mod(P, M0, M, G),
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									functor(G, Name, 1),
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									rb_map(T, M:Name).
							 | 
						
					
						
							
								
									
										
										
										
											2001-04-09 19:54:03 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-11-18 15:06:25 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								/** @pred map_assoc(+ _Pred_,+ _Assoc_,? _New_)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								Given the binary predicate name  _Pred_ and the association list
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								 _Assoc_,  _New_ in an association list with keys in  _Assoc_,
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								and such that if  _Key-Val_ is in  _Assoc_, and  _Key-Ans_ is in
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								 _New_, then  _Pred_( _Val_, _Ans_) holds.*/
							 | 
						
					
						
							
								
									
										
										
										
											2007-10-16 23:17:04 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								map_assoc(t, T, T) :- !.
							 | 
						
					
						
							
								
									
										
										
										
											2006-04-10 19:24:52 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								map_assoc(P, T, NT) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									yap_flag(typein_module, M0),
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									extract_mod(P, M0, M, G),
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									functor(G, Name, 2),
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									rb_map(T, M:Name, NT).
							 | 
						
					
						
							
								
									
										
										
										
											2001-04-09 19:54:03 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2006-04-10 19:24:52 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								extract_mod(G,_,_) :- var(G), !, fail.
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								extract_mod(M:G, _, FM, FG ) :- !,
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									extract_mod(G, M, FM, FG ).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								extract_mod(G, M, M, G ).
							 | 
						
					
						
							
								
									
										
										
										
											2001-04-09 19:54:03 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-11-18 15:06:25 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								/** @pred put_assoc(+ _Key_,+ _Assoc_,+ _Val_,+ _New_) 
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								The association list  _New_ includes and element of association
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								 _key_ with  _Val_, and all elements of  _Assoc_ that did not
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								have key  _Key_.
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								*/
							 | 
						
					
						
							
								
									
										
										
										
											2006-04-10 19:24:52 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								put_assoc(K, T, V, NT) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									rb_update(T, K, V, NT), !.
							 | 
						
					
						
							
								
									
										
										
										
											2007-10-16 23:17:04 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								put_assoc(K, t, V, NT) :- !,
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									rbtrees:rb_new(K,V,NT).
							 | 
						
					
						
							
								
									
										
										
										
											2006-04-10 19:24:52 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								put_assoc(K, T, V, NT) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									rb_insert(T, K, V, NT).
							 | 
						
					
						
							
								
									
										
										
										
											2001-04-09 19:54:03 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-11-18 15:06:25 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								/** @pred del_assoc(+ _Key_, + _Assoc_, ? _Val_, ? _NewAssoc_) 
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								Succeeds if  _NewAssoc_ is an association list, obtained by removing
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								the element with  _Key_ and  _Val_ from the list  _Assoc_.
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								 
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								*/
							 | 
						
					
						
							
								
									
										
										
										
											2006-04-10 19:24:52 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								del_assoc(K, T, V, NT) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									rb_delete(T, K, V, NT).
							 | 
						
					
						
							
								
									
										
										
										
											2001-04-09 19:54:03 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-11-18 15:06:25 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								/** @pred del_min_assoc(+ _Assoc_, ? _Key_, ? _Val_, ? _NewAssoc_) 
							 | 
						
					
						
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								Succeeds if  _NewAssoc_ is an association list, obtained by removing
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								the smallest element of the list, with  _Key_ and  _Val_
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								from the list  _Assoc_.
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								*/
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											2006-04-10 19:24:52 +00:00
										 
									 
								 
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								del_min_assoc(T, K, V, NT) :-
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									rb_del_min(T, K, V, NT).
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											2001-04-09 19:54:03 +00:00
										 
									 
								 
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											2015-11-18 15:06:25 +00:00
										 
									 
								 
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								/** @pred del_max_assoc(+ _Assoc_, ? _Key_, ? _Val_, ? _NewAssoc_) 
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								Succeeds if  _NewAssoc_ is an association list, obtained by removing
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								the largest element of the list, with  _Key_ and  _Val_ from the
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								list  _Assoc_.
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								*/
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											2006-04-10 19:24:52 +00:00
										 
									 
								 
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								del_max_assoc(T, K, V, NT) :-
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									rb_del_max(T, K, V, NT).
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											2001-04-09 19:54:03 +00:00
										 
									 
								 
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											2010-07-28 17:12:51 +01:00
										 
									 
								 
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								assoc_to_keys(T, Ks) :-
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									rb_keys(T, Ks).
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											2001-04-09 19:54:03 +00:00
										 
									 
								 
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											2014-09-11 14:06:57 -05:00
										 
									 
								 
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								/**
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								@}
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								*/
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