243 lines
6.5 KiB
Prolog
243 lines
6.5 KiB
Prolog
/*************************************************************************
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* *
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* YAP Prolog %W% %G%
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* *
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* Yap Prolog was developed at NCCUP - Universidade do Porto *
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* *
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* Copyright L.Damas, V.S.Costa and Universidade do Porto 1985-1997 *
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* *
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**************************************************************************
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* *
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* File: setof.pl *
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* Last rev: *
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* mods: *
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* comments: set predicates *
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* *
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*************************************************************************/
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% The "existential quantifier" symbol is only significant to bagof
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% and setof, which it stops binding the quantified variable.
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% op(200, xfy, ^) is defined during bootstrap.
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% this is used by the all predicate
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:- op(50,xfx,same).
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_^Goal :-
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'$execute'(Goal).
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% findall/3 is a simplified version of bagof which has an implicit
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% existential quantifier on every variable.
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findall(Template, Generator, Answers) :-
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( '$partial_list_or_list'(Answers) ->
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true
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;
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'$do_error'(type_error(list,Answers), findall(Template, Generator, Answers))
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),
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'$findall'(Template, Generator, [], Answers).
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% If some answers have already been found
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findall(Template, Generator, Answers, SoFar) :-
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'$findall'(Template, Generator, SoFar, Answers).
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% starts by calling the generator,
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% and recording the answers
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'$findall'(Template, Generator, SoFar, Answers) :-
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nb:nb_queue(Ref),
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(
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'$execute'(Generator),
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nb:nb_queue_enqueue(Ref, Template),
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fail
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;
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nb:nb_queue_close(Ref, Answers, SoFar)
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).
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% findall_with_key is very similar to findall, but uses the SICStus
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% algorithm to guarantee that variables will have the same names.
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%
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'$findall_with_common_vars'(Template, Generator, Answers) :-
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nb:nb_queue(Ref),
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(
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'$execute'(Generator),
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nb:nb_queue_enqueue(Ref, Template),
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fail
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;
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nb:nb_queue_close(Ref, Answers, []),
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'$collect_with_common_vars'(Answers, _)
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).
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'$collect_with_common_vars'([], _).
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'$collect_with_common_vars'([Key-_|Answers], VarList) :-
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'$variables_in_term'(Key, _, VarList),
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'$collect_with_common_vars'(Answers, VarList).
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% This is the setof predicate
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setof(Template, Generator, Set) :-
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( '$partial_list_or_list'(Set) ->
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true
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;
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'$do_error'(type_error(list,Set), setof(Template, Generator, Set))
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),
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'$bagof'(Template, Generator, Bag),
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'$sort'(Bag, Set).
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% And this is bagof
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% Either we have excess of variables
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% and we need to find the solutions for each instantiation
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% of these variables
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bagof(Template, Generator, Bag) :-
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( '$partial_list_or_list'(Bag) ->
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true
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;
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'$do_error'(type_error(list,Bag), bagof(Template, Generator, Bag))
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),
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'$bagof'(Template, Generator, Bag).
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'$bagof'(Template, Generator, Bag) :-
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'$variables_in_term'(Template, [], TemplateV),
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'$excess_vars'(Generator, StrippedGenerator, TemplateV, [], FreeVars),
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( FreeVars \== [] ->
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'$variables_in_term'(FreeVars, [], LFreeVars),
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Key =.. ['$'|LFreeVars],
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'$findall_with_common_vars'(Key-Template, StrippedGenerator, Bags0),
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'$keysort'(Bags0, Bags),
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'$pick'(Bags, Key, Bag)
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;
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'$findall'(Template, StrippedGenerator, [], Bag0),
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Bag0 \== [],
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Bag = Bag0
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).
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% picks a solution attending to the free variables
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'$pick'([K-X|Bags], Key, Bag) :-
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'$parade'(Bags, K, Bag1, Bags1),
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'$decide'(Bags1, [X|Bag1], K, Key, Bag).
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'$parade'([K-X|L1], Key, [X|B], L) :- K == Key, !,
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'$parade'(L1, Key, B, L).
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'$parade'(L, _, [], L).
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%
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% The first argument to decide gives if solutions still left;
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% The second gives the solution currently found;
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% The third gives the free variables that are supposed to be bound;
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% The fourth gives the free variables being currently used.
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% The fifth outputs the current solution.
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%
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'$decide'([], Bag, Key0, Key, Bag) :- !,
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Key0=Key.
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'$decide'(_, Bag, Key, Key, Bag).
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'$decide'(Bags, _, _, Key, Bag) :-
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'$pick'(Bags, Key, Bag).
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%
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% Detect free variables in the source term
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%
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'$excess_vars'(V, V, X, L0, L) :-
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var(V),
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!,
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( '$doesnt_include'(X, V) -> L = [V|L0]
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; L = L0
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).
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'$excess_vars'(A, A, _, L, L) :-
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atomic(A), !.
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'$excess_vars'(X^P, NP, Y, L0, L) :- !,
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'$variables_in_term'(X+Y, [], NY),
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'$excess_vars'(P, NP, NY, L0, L).
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'$excess_vars'(setof(X,P,S), setof(X,P,S), Y, L0, L) :- !,
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'$variables_in_term'(X+Y, [], NY),
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'$excess_vars'((P,S), _, NY, L0, L).
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'$excess_vars'(bagof(X,P,S), bagof(X,P,S), Y, L0, L) :- !,
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'$variables_in_term'(X+Y, [], NY),
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'$excess_vars'((P,S), _, NY, L0, L).
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'$excess_vars'(findall(X,P,S), findall(X,P,S), Y, L0, L) :- !,
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'$excess_vars'(S, _, Y, L0, L).
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'$excess_vars'(findall(X,P,S0,S), findall(X,P,S0,S), Y, L0, L) :- !,
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'$excess_vars'(S, _, Y, L0, L).
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'$excess_vars'(\+G, \+G, _, L0, LF) :- !,
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L0 = LF.
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'$excess_vars'(_:G1, M:NG, Y, L0, LF) :- nonvar(G1), G1 = M:G, !,
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'$excess_vars'(G, NG, Y, L0, LF).
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'$excess_vars'(M:G, M:NG, Y, L0, LF) :- !,
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'$excess_vars'(G, NG, Y, L0, LF).
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'$excess_vars'(T, T, X, L0, L) :-
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T =.. [_|LArgs],
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'$recurse_for_excess_vars'(LArgs, X, L0, L).
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'$recurse_for_excess_vars'([], _, L, L).
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'$recurse_for_excess_vars'([T1|LArgs], X, L0, L) :-
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'$excess_vars'(T1, _, X, L0, L1),
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'$recurse_for_excess_vars'(LArgs, X, L1, L).
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'$doesnt_include'([], _).
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'$doesnt_include'([Y|L], X) :-
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Y \== X,
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'$doesnt_include'(L, X).
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% as an alternative to setof you can use the predicate all(Term,Goal,Solutions)
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% But this version of all does not allow for repeated answers
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% if you want them use findall
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all(T,G same X,S) :- !, all(T same X,G,Sx), '$$produce'(Sx,S,X).
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all(T,G,S) :-
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'$init_db_queue'(Ref),
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( '$catch'(Error,'$clean_findall'(Ref,Error),_),
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'$execute'(G),
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'$db_enqueue'(Ref, T),
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fail
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;
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'$$set'(S,Ref)
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).
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% $$set does its best to preserve space
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'$$set'(S,R) :-
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'$$build'(S0,_,R),
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S0 = [_|_],
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S = S0.
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'$$build'(Ns,S0,R) :- '$db_dequeue'(R,X), !,
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'$$build2'(Ns,S0,R,X).
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'$$build'([],_,_).
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'$$build2'([X|Ns],Hash,R,X) :-
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'$$new'(Hash,X), !,
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'$$build'(Ns,Hash,R).
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'$$build2'(Ns,Hash,R,_) :-
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'$$build'(Ns,Hash,R).
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'$$new'(V,El) :- var(V), !, V = n(_,El,_).
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'$$new'(n(R,El0,L),El) :-
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compare(C,El0,El),
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'$$new'(C,R,L,El).
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'$$new'(=,_,_,_) :- !, fail.
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'$$new'(<,R,_,El) :- '$$new'(R,El).
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'$$new'(>,_,L,El) :- '$$new'(L,El).
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'$$produce'([T1 same X1|Tn],S,X) :- '$$split'(Tn,T1,X1,S1,S2),
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( S=[T1|S1], X=X1;
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!, produce(S2,S,X) ).
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'$$split'([],_,_,[],[]).
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'$$split'([T same X|Tn],T,X,S1,S2) :- '$$split'(Tn,T,X,S1,S2).
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'$$split'([T1 same X|Tn],T,X,[T1|S1],S2) :- '$$split'(Tn,T,X,S1,S2).
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'$$split'([T1|Tn],T,X,S1,[T1|S2]) :- '$$split'(Tn,T,X,S1,S2).
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'$partial_list_or_list'(V) :- var(V), !.
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'$partial_list_or_list'([]) :- !.
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'$partial_list_or_list'([_|B]) :- !
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'$partial_list_or_list'(B).
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