189 lines
5.0 KiB
Prolog
189 lines
5.0 KiB
Prolog
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:- module(bdd, [bdd_new/2,
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bdd_new/3,
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bdd_from_list/3,
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mtbdd_new/2,
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mtbdd_new/3,
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bdd_eval/2,
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mtbdd_eval/2,
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bdd_tree/2,
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bdd_size/2,
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bdd_print/2,
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bdd_to_probability_sum_product/2,
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bdd_to_probability_sum_product/3,
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bdd_close/1,
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mtbdd_close/1]).
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:- use_module(library(lists)).
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:- use_module(library(maplist)).
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:- use_module(library(rbtrees)).
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:- use_module(library(simpbool)).
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tell_warning :-
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print_message(warning,functionality(cudd)).
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:- catch(load_foreign_files([cudd], [], init_cudd),_,fail) -> true ; tell_warning.
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% create a new BDD from a tree.
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bdd_new(T, Bdd) :-
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term_variables(T, Vars),
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bdd_new(T, Vars, Bdd).
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bdd_new(T, Vars, cudd(M,X,VS,TrueVars)) :-
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term_variables(Vars, TrueVars),
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VS =.. [vs|TrueVars],
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findall(Manager-Cudd, set_bdd(T, VS, Manager, Cudd), [M-X]).
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% create a new BDD from a list.
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bdd_from_list(List, Vars, cudd(M,X,VS,TrueVars)) :-
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term_variables(Vars, TrueVars),
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VS =.. [vs|TrueVars],
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findall(Manager-Cudd, set_bdd_from_list(List, VS, Manager, Cudd), [M-X]).
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set_bdd(T, VS, Manager, Cudd) :-
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numbervars(VS,0,_),
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( ground(T)
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->
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term_to_cudd(T,Manager,Cudd)
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;
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writeln(throw(error(instantiation_error,T)))
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).
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set_bdd_from_list(T0, VS, Manager, Cudd) :-
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numbervars(VS,0,_),
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generate_releases(T0, Manager, T),
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% T0 = T,
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% writeln_list(T0),
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list_to_cudd(T,Manager,_Cudd0,Cudd).
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generate_releases(T0, Manager, T) :-
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rb_empty(RB0),
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reverse(T0, [H|R]),
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add_releases(R, RB0, [H], Manager, T).
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add_releases([], _, RR, _M, RR).
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add_releases([(X = Ts)|R], RB0, RR0, M, RR) :-
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term_variables(Ts, Vs), !,
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add_variables(Vs, RB0, RR0, M, RBF, RRI),
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add_releases(R, RBF, [(X=Ts)|RRI], M, RR).
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add_variables([], RB, RR, _M, RB, RR).
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add_variables([V|Vs], RB0, RR0, M, RBF, RRF) :-
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rb_lookup(V, _, RB0), !,
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add_variables(Vs, RB0, RR0, M, RBF, RRF).
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add_variables([V|Vs], RB0, RR0, M, RBF, RRF) :-
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rb_insert(RB0, V, _, RB1),
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add_variables(Vs, RB1, [release_node(M,V)|RR0], M, RBF, RRF).
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writeln_list([]).
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writeln_list([B|Bindings]) :-
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writeln(B),
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writeln_list(Bindings).
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%list_to_cudd(H._List,_Manager,_Cudd0,_CuddF) :- writeln(l:H), fail.
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list_to_cudd([],_Manager,Cudd,Cudd) :- writeln('X').
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list_to_cudd([release_node(M,cudd(V))|T], Manager, Cudd0, CuddF) :- !,
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write('-'), flush_output,
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cudd_release_node(M,V),
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list_to_cudd(T, Manager, Cudd0, CuddF).
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list_to_cudd([(V=0*_Par)|T], Manager, _Cudd0, CuddF) :- !,
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write('0'), flush_output,
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term_to_cudd(0, Manager, Cudd),
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V = cudd(Cudd),
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list_to_cudd(T, Manager, Cudd, CuddF).
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list_to_cudd([(V=0)|T], Manager, _Cudd0, CuddF) :- !,
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write('0'), flush_output,
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term_to_cudd(0, Manager, Cudd),
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V = cudd(Cudd),
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list_to_cudd(T, Manager, Cudd, CuddF).
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list_to_cudd([(V=_Tree*0)|T], Manager, _Cudd0, CuddF) :- !,
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write('0'), flush_output,
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term_to_cudd(0, Manager, Cudd),
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V = cudd(Cudd),
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list_to_cudd(T, Manager, Cudd, CuddF).
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list_to_cudd([(V=Tree*1)|T], Manager, _Cudd0, CuddF) :- !,
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write('.'), flush_output,
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term_to_cudd(Tree, Manager, Cudd),
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V = cudd(Cudd),
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list_to_cudd(T, Manager, Cudd, CuddF).
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list_to_cudd([(V=Tree)|T], Manager, _Cudd0, CuddF) :-
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write('.'), flush_output,
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( ground(Tree) -> true ; throw(error(instantiation_error(Tree))) ),
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term_to_cudd(Tree, Manager, Cudd),
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V = cudd(Cudd),
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list_to_cudd(T, Manager, Cudd, CuddF).
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mtbdd_new(T, Mtbdd) :-
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term_variables(T, Vars),
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mtbdd_new(T, Vars, Mtbdd).
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mtbdd_new(T, Vars, add(M,X,VS,Vars)) :-
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VS =.. [vs|Vars],
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functor(VS,vs,Sz),
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findall(Manager-Cudd, (numbervars(VS,0,_),term_to_add(T,Sz,Manager,Cudd)), [M-X]).
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bdd_eval(cudd(M, X, Vars, _), Val) :-
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cudd_eval(M, X, Vars, Val).
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bdd_eval(add(M, X, Vars, _), Val) :-
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add_eval(M, X, Vars, Val).
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mtbdd_eval(add(M,X, Vars, _), Val) :-
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add_eval(M, X, Vars, Val).
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% get the BDD as a Prolog list from the CUDD C object
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bdd_tree(cudd(M, X, Vars, _Vs), bdd(Dir, List, Vars)) :-
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cudd_to_term(M, X, Vars, Dir, List).
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bdd_tree(add(M, X, Vars, _), mtbdd(Tree, Vars)) :-
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add_to_term(M, X, Vars, Tree).
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bdd_to_probability_sum_product(cudd(M,X,_,Probs), Prob) :-
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cudd_to_probability_sum_product(M, X, Probs, Prob).
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bdd_to_probability_sum_product(cudd(M,X,_,_Probs), Probs, Prob) :-
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cudd_to_probability_sum_product(M, X, Probs, Prob).
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bdd_close(cudd(M,_,_Vars, _)) :-
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cudd_die(M).
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bdd_close(add(M,_,_Vars, _)) :-
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cudd_die(M).
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bdd_size(cudd(M,Top,_Vars, _), Sz) :-
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cudd_size(M,Top,Sz).
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bdd_size(add(M,Top,_Vars, _), Sz) :-
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cudd_size(M,Top,Sz).
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bdd_print(cudd(M,Top,_Vars, _), File) :-
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cudd_print(M, Top, File).
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bdd_print(add(M,Top,_Vars, _), File) :-
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cudd_print(M, Top, File).
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mtbdd_close(add(M,_,_Vars,_)) :-
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cudd_die(M).
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/* algorithm to compute probabilitie in Prolog */
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bdd_to_sp(bdd(Dir, Tree, _Vars, IVars), Binds, Prob) :-
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findall(P, sp(Dir, Tree, IVars, Binds, P), [Prob]).
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sp(Dir, Tree, Vars, Vars, P) :-
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run_sp(Tree),
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fetch(Tree, Dir, P).
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run_sp([]).
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run_sp(pp(P,X,L,R).Tree) :-
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run_sp(Tree),
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P is X*L+(1-X)*R.
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run_sp(pn(P,X,L,R).Tree) :-
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run_sp(Tree),
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P is X*L+(1-X)*(1-R).
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fetch(pp(P,_,_,_)._Tree, 1, P).
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fetch(pp(P,_,_,_)._Tree, -1, N) :- N is 1-P.
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fetch(pn(P,_,_,_)._Tree, 1, P).
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fetch(pn(P,_,_,_)._Tree, -1, N) :- N is 1-P.
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