:- module(clpbn, [{}/1, clpbn_flag/2, set_clpbn_flag/2, set_solver/1, set_em_solver/1, clpbn_flag/3, clpbn_key/2, clpbn_init_graph/1, clpbn_init_solver/4, clpbn_run_solver/3, pfl_init_solver/5, pfl_run_solver/3, pfl_end_solver/1, probability/2, conditional_probability/3, use_parfactors/1, op(500, xfy, with) ]). :- use_module(library(atts)). :- use_module(library(bhash)). :- use_module(library(lists)). :- use_module(library(terms)). :- use_module(library(maplist)). :- attribute key/1, dist/2, evidence/1. :- use_module('clpbn/ve', [ve/3, check_if_ve_done/1, init_ve_solver/4, run_ve_solver/3, init_ve_ground_solver/5, run_ve_ground_solver/3, call_ve_ground_solver/6 ]). :- use_module('clpbn/jt', [jt/3, init_jt_solver/4, run_jt_solver/3 ]). :- use_module('clpbn/bdd', [bdd/3, init_bdd_solver/4, run_bdd_solver/3, init_bdd_ground_solver/5, run_bdd_ground_solver/3, call_bdd_ground_solver/6 ]). :- use_module('clpbn/gibbs', [gibbs/3, check_if_gibbs_done/1, init_gibbs_solver/4, run_gibbs_solver/3 ]). :- use_module('clpbn/pgrammar', [pcg_init_graph/0, init_pcg_solver/4, run_pcg_solver/3 ]). :- use_module('clpbn/horus_ground', [call_horus_ground_solver/6, check_if_horus_ground_solver_done/1, init_horus_ground_solver/5, run_horus_ground_solver/3, end_horus_ground_solver/1 ]). :- use_module('clpbn/horus_lifted', [call_horus_lifted_solver/3, check_if_horus_lifted_solver_done/1, init_horus_lifted_solver/4, run_horus_lifted_solver/3, end_horus_lifted_solver/1 ]). %% :- use_module('clpbn/bnt', %% [do_bnt/3, %% check_if_bnt_done/1 %% ]). :- use_module('clpbn/dists', [dist/4, get_dist/4, get_evidence_position/3, get_evidence_from_position/3, additive_dists/6 ]). :- use_module('clpbn/evidence', [store_evidence/1, add_stored_evidence/2, incorporate_evidence/2, check_stored_evidence/2, put_evidence/2 ]). :- use_module('clpbn/ground_factors', [generate_network/5]). :- use_module('clpbn/utils', [sort_vars_by_key/3]). :- use_module('clpbn/graphs', [clpbn2graph/1]). :- use_module('clpbn/graphviz', [clpbn2gviz/4]). % % avoid the overhead of using goal_expansion/2. % :- multifile user:term_expansion/2. :- dynamic user:term_expansion/2. :- dynamic solver/1, em_solver/1, suppress_attribute_display/1, parameter_softening/1, use_parfactors/1, output/1, use/1. :- meta_predicate probability(:,-), conditional_probability(:,:,-). solver(hve). em_solver(hve). suppress_attribute_display(false). parameter_softening(m_estimate(10)). use_parfactors(off). output(no). %output(xbif(user_error)). %output(gviz(user_error)). ground_solver(ve). ground_solver(hve). ground_solver(jt). ground_solver(bdd). ground_solver(bp). ground_solver(cbp). ground_solver(gibbs). lifted_solver(lve). lifted_solver(lkc). lifted_solver(lbp). clpbn_flag(Flag, Option) :- clpbn_flag(Flag, Option, Option). set_clpbn_flag(Flag,Option) :- clpbn_flag(Flag, _, Option). clpbn_flag(solver,Before,After) :- retract(solver(Before)), assert(solver(After)). clpbn_flag(em_solver,Before,After) :- retract(em_solver(Before)), assert(em_solver(After)). clpbn_flag(bnt_solver,Before,After) :- retract(bnt:bnt_solver(Before)), assert(bnt:bnt_solver(After)). clpbn_flag(bnt_path,Before,After) :- retract(bnt:bnt_path(Before)), assert(bnt:bnt_path(After)). clpbn_flag(bnt_model,Before,After) :- retract(bnt:bnt_model(Before)), assert(bnt:bnt_model(After)). clpbn_flag(suppress_attribute_display,Before,After) :- retract(suppress_attribute_display(Before)), assert(suppress_attribute_display(After)). clpbn_flag(parameter_softening,Before,After) :- retract(parameter_softening(Before)), assert(parameter_softening(After)). clpbn_flag(use_factors,Before,After) :- retract(use_parfactors(Before)), assert(use_parfactors(After)). clpbn_flag(output,Before,After) :- retract(output(Before)), assert(output(After)). set_solver(Solver) :- set_clpbn_flag(solver,Solver). set_em_solver(Solver) :- set_clpbn_flag(em_solver,Solver). {_} :- solver(none), !. { Var = Key with Dist } :- put_atts(El,[key(Key),dist(DistInfo,Parents)]), dist(Dist, DistInfo, Key, Parents), add_evidence(Var,Key,DistInfo,El) % ,writeln({Var = Key with Dist}) . % % make sure a query variable is reachable by the garbage collector. % % we use a mutable variable to avoid unnecessary trailing. % store_var(El) :- nb_current(clpbn_qvars, Mutable), nonvar(Mutable), !, get_mutable(Tail, Mutable), update_mutable(El.Tail, Mutable). store_var(El) :- init_clpbn_vars(El). init_clpbn_vars(El) :- create_mutable(El, Mutable), b_setval(clpbn_qvars, Mutable). check_constraint(Constraint, _, _, Constraint) :- var(Constraint), !. check_constraint((A->D), _, _, (A->D)) :- var(A), !. check_constraint((([A|B].L)->D), Vars, NVars, (([A|B].NL)->D)) :- !, check_cpt_input_vars(L, Vars, NVars, NL). check_constraint(Dist, _, _, Dist). check_cpt_input_vars([], _, _, []). check_cpt_input_vars([V|L], Vars, NVars, [NV|NL]) :- replace_var(Vars, V, NVars, NV), check_cpt_input_vars(L, Vars, NVars, NL). replace_var([], V, [], V). replace_var([V|_], V0, [NV|_], NV) :- V == V0, !. replace_var([_|Vars], V, [_|NVars], NV) :- replace_var(Vars, V, NVars, NV). add_evidence(V,Key,Distinfo,NV) :- nonvar(V), !, get_evidence_position(V, Distinfo, Pos), check_stored_evidence(Key, Pos), store_var(NV), clpbn:put_atts(NV,evidence(Pos)). add_evidence(V,K,_,V) :- add_stored_evidence(K,V), store_var(V). clpbn_marginalise(V, Dist) :- attributes:all_attvars(AVars), project_attributes([V], AVars), clpbn_display:get_atts(V, posterior(_,_,Dist,_)). % % called by top-level % or by call_residue/2 % project_attributes(GVars0, _AVars0) :- use_parfactors(on), clpbn_flag(solver, Solver), ground_solver(Solver), generate_network(GVars0, GKeys, Keys, Factors, Evidence), b_setval(clpbn_query_variables, f(GVars0,Evidence)), simplify_query(GVars0, GVars), ( GKeys = [] -> GVars0 = [V|_], clpbn_display:put_atts(V, [posterior([],[],[],[])]) ; call_ground_solver(Solver, GVars, GKeys, Keys, Factors, Evidence) ). project_attributes(GVars, AVars) :- suppress_attribute_display(false), AVars = [_|_], solver(Solver), ( GVars = [_|_] ; Solver = graphs), !, % we don't pass query variables in this way b_setval(clpbn_query_variables, none), clpbn_vars(AVars, DiffVars, AllVars), get_clpbn_vars(GVars,CLPBNGVars0), simplify_query_vars(CLPBNGVars0, CLPBNGVars), (output(xbif(XBifStream)) -> clpbn2xbif(XBifStream,ve,AllVars) ; true), (output(gviz(XBifStream)) -> clpbn2gviz(XBifStream,sort,AllVars,GVars) ; true), ( Solver = graphs -> write_out(Solver, [[]], AllVars, DiffVars) ; write_out(Solver, [CLPBNGVars], AllVars, DiffVars) ). project_attributes(_, _). % % check for query variables with evidence % simplify_query([V|GVars0], GVars) :- get_atts(V, [evidence(_)]), !, simplify_query(GVars0, GVars). simplify_query([V|GVars0], GVars) :- get_atts(V, [key(K)]), pfl:evidence(K, _), !, simplify_query(GVars0, GVars). simplify_query([V|GVars0], [V|GVars]) :- simplify_query(GVars0, GVars). simplify_query([], []). match([], _Keys). match([V|GVars], Keys) :- clpbn:get_atts(V,[key(GKey)]), member(GKey, Keys), ground(GKey), !, match(GVars, Keys). match([_V|GVars], Keys) :- match(GVars, Keys). clpbn_vars(AVars, DiffVars, AllVars) :- sort_vars_by_key(AVars,SortedAVars,DiffVars), incorporate_evidence(SortedAVars, AllVars). get_clpbn_vars([V|GVars],[V|CLPBNGVars]) :- get_atts(V, [key(_)]), !, get_clpbn_vars(GVars,CLPBNGVars). get_clpbn_vars([_|GVars],CLPBNGVars) :- get_clpbn_vars(GVars,CLPBNGVars). get_clpbn_vars([],[]). simplify_query_vars(LVs0, LVs) :- sort(LVs0,LVs1), get_rid_of_ev_vars(LVs1,LVs). % % some variables might already have evidence in the data-base. % get_rid_of_ev_vars([],[]). get_rid_of_ev_vars([V|LVs0],LVs) :- clpbn:get_atts(V, [dist(Id,_),evidence(Pos)]), !, get_evidence_from_position(Ev, Id, Pos), clpbn_display:put_atts(V, [posterior([],Ev,[],[])]), !, get_rid_of_ev_vars(LVs0,LVs). get_rid_of_ev_vars([V|LVs0],[V|LVs]) :- get_rid_of_ev_vars(LVs0,LVs). % Call a solver with keys, not actual variables call_ground_solver(ve, GVars, GoalKeys, Keys, Factors, Evidence) :- !, call_ve_ground_solver(GVars, GoalKeys, Keys, Factors, Evidence, _Answ). call_ground_solver(hve, GVars, GoalKeys, Keys, Factors, Evidence) :- !, clpbn_horus:set_horus_flag(ground_solver, ve), call_horus_ground_solver(GVars, GoalKeys, Keys, Factors, Evidence, _Answ). call_ground_solver(bdd, GVars, GoalKeys, Keys, Factors, Evidence) :- !, call_bdd_ground_solver(GVars, GoalKeys, Keys, Factors, Evidence, _Answ). call_ground_solver(bp, GVars, GoalKeys, Keys, Factors, Evidence) :- !, clpbn_horus:set_horus_flag(ground_solver, bp), call_horus_ground_solver(GVars, GoalKeys, Keys, Factors, Evidence, _Answ). call_ground_solver(cbp, GVars, GoalKeys, Keys, Factors, Evidence) :- !, clpbn_horus:set_horus_flag(ground_solver, cbp), call_horus_ground_solver(GVars, GoalKeys, Keys, Factors, Evidence, _Answ). call_ground_solver(Solver, GVars, _GoalKeys, Keys, Factors, Evidence) :- % fall back to traditional solver b_hash_new(Hash0), foldl(gvar_in_hash, GVars, Hash0, HashI), foldl(key_to_var, Keys, AllVars, HashI, Hash1), foldl(evidence_to_v, Evidence, _EVars, Hash1, Hash), %writeln(Keys:AllVars), maplist(factor_to_dist(Hash), Factors), % evidence retract(use_parfactors(on)), write_out(Solver, [GVars], AllVars, _), assert(use_parfactors(on)). % do nothing if we don't have query variables to compute. write_out(_, GVars, AVars, _) :- maplist(bound_varl(AVars), GVars), !. write_out(_, [], _, _) :- !. write_out(graphs, _, AVars, _) :- !, clpbn2graph(AVars). write_out(ve, GVars, AVars, DiffVars) :- !, ve(GVars, AVars, DiffVars). write_out(jt, GVars, AVars, DiffVars) :- !, jt(GVars, AVars, DiffVars). write_out(bdd, GVars, AVars, DiffVars) :- !, bdd(GVars, AVars, DiffVars). write_out(gibbs, GVars, AVars, DiffVars) :- !, gibbs(GVars, AVars, DiffVars). write_out(lve, GVars, AVars, DiffVars) :- !, clpbn_horus:set_horus_flag(lifted_solver, lve), call_horus_lifted_solver(GVars, AVars, DiffVars). write_out(lkc, GVars, AVars, DiffVars) :- !, clpbn_horus:set_horus_flag(lifted_solver, lkc), call_horus_lifted_solver(GVars, AVars, DiffVars). write_out(lbp, GVars, AVars, DiffVars) :- !, clpbn_horus:set_horus_flag(lifted_solver, lbp), call_horus_lifted_solver(GVars, AVars, DiffVars). write_out(bnt, GVars, AVars, DiffVars) :- !, do_bnt(GVars, AVars, DiffVars). write_out(Solver, _, _, _) :- format("Error: solver '~w' is unknown.", [Solver]), fail. bound_varl(AVars, L) :- maplist(bound_var(AVars), L). bound_var(_AVars,V) :- var(V), !, get_atts(V, [key(K)]), ( pfl:evidence(K, Ev) -> true ; get_atts(V, [key(K), evidence(Ev)]) ), pfl:skolem(K,D), once(nth0(Ev,D,V)). bound_var(_AVars, _V). % % convert a PFL network (without constraints) % into CLP(BN) for evaluation % gvar_in_hash(V, Hash0, Hash) :- get_atts(V, [key(K)]), b_hash_insert(Hash0, K, V, Hash). key_to_var(K, V, Hash0, Hash0) :- b_hash_lookup(K, V, Hash0), !. key_to_var(K, V,Hash0, Hash) :- put_atts(V, [key(K)]), b_hash_insert(Hash0, K, V, Hash). evidence_to_v(K=E, V, Hash0, Hash0) :- b_hash_lookup(K, V, Hash0), !, clpbn:put_atts(V,[evidence(E)]). evidence_to_v(K=E, V, Hash0, Hash) :- b_hash_insert(Hash0, K, V, Hash), clpbn:put_atts(V,[evidence(E)]). factor_to_dist(Hash, f(bayes, Id, Ks)) :- maplist(key_to_var(Hash), Ks, [V|Parents]), Ks =[Key|_], pfl:skolem(Key, Domain), pfl:get_pfl_parameters(Id, CPT), dist(p(Domain,CPT,Parents), DistInfo, Key, Parents), put_atts(V,[dist(DistInfo,Parents)]). key_to_var(Hash, K, V) :- b_hash_lookup(K, V, Hash). get_bnode(Var, Goal) :- get_atts(Var, [key(Key),dist(Dist,Parents)]), get_dist(Dist,_,Domain,CPT), (Parents = [] -> X = tab(Domain,CPT) ; X = tab(Domain,CPT,Parents)), dist_goal(X, Key, Goal0), include_evidence(Var, Goal0, Key, Goal). include_evidence(Var, Goal0, Key, ((Key:-Ev),Goal0)) :- get_atts(Var, [evidence(Ev)]), !. include_evidence(_, Goal0, _, Goal0). dist_goal(Dist, Key, (Key=NDist)) :- term_variables(Dist, DVars), process_vars(DVars, DKeys), my_copy_term(Dist,DVars, NDist,DKeys). my_copy_term(V, DVars, Key, DKeys) :- find_var(DVars, V, Key, DKeys). my_copy_term(A, _, A, _) :- atomic(A), !. my_copy_term(T, Vs, NT, Ks) :- T =.. [Na|As], my_copy_terms(As, Vs, NAs, Ks), NT =.. [Na|NAs]. my_copy_terms([], _, [], _). my_copy_terms([A|As], Vs, [NA|NAs], Ks) :- my_copy_term(A, Vs, NA, Ks), my_copy_terms(As, Vs, NAs, Ks). find_var([V1|_], V, Key, [Key|_]) :- V1 == V, !. find_var([_|DVars], V, Key, [_|DKeys]) :- find_var(DVars, V, Key, DKeys). process_vars([], []). process_vars([V|Vs], [K|Ks]) :- process_var(V, K), process_vars(Vs, Ks). process_var(V, K) :- get_atts(V, [key(K)]), !. % oops: this variable has no attributes. process_var(V, _) :- throw(error(instantiation_error,clpbn(attribute_goal(V)))). % % unify a CLPBN variable with something. % verify_attributes(Var, T, Goal) :- get_atts(Var, [key(Key),dist(Dist,Parents)]), !, /* oops, someone trying to bind a clpbn constrained variable */ bind_clpbn(T, Var, Key, Dist, Parents, Goal). verify_attributes(_, _, []). bind_clpbn(T, Var, _, _, _, do_not_bind_variable([put_evidence(T,Var)])) :- nonvar(T), !. bind_clpbn(T, Var, Key, Dist, Parents, []) :- var(T), get_atts(T, [key(Key1),dist(Dist1,Parents1)]), ( bind_clpbns(Key, Dist, Parents, Key1, Dist1, Parents1) -> ( get_atts(T, [evidence(Ev1)]) -> bind_evidence_from_extra_var(Ev1,Var) ; get_atts(Var, [evidence(Ev)]) -> bind_evidence_from_extra_var(Ev,T) ; true ) ; fail ). bind_clpbn(_, Var, _, _, _, _, []) :- use(ve), check_if_ve_done(Var), !. bind_clpbn(_, Var, _, _, _, _, []) :- use(hve), check_if_horus_ground_solver_done(Var), !. bind_clpbn(_, Var, _, _, _, _, []) :- use(jt), check_if_ve_done(Var), !. bind_clpbn(_, Var, _, _, _, _, []) :- use(bdd), check_if_bdd_done(Var), !. bind_clpbn(_, Var, _, _, _, _, []) :- use(bp), check_if_horus_ground_solver_done(Var), !. bind_clpbn(_, Var, _, _, _, _, []) :- use(cbp), check_if_horus_ground_solver_done(Var), !. bind_clpbn(_, Var, _, _, _, _, []) :- use(bnt), check_if_bnt_done(Var), !. bind_clpbn(T, Var, Key0, _, _, _, []) :- get_atts(Var, [key(Key)]), !, ( Key = Key0 -> true ; % let us not loose whatever we had. put_evidence(T,Var) ). fresh_attvar(Var, NVar) :- get_atts(Var, LAtts), put_atts(NVar, LAtts). % I will now allow two CLPBN variables to be bound together. % bind_clpbns(Key, Dist, Parents, Key, Dist, Parents). bind_clpbns(Key, Dist, Parents, Key1, Dist1, Parents1) :- Key == Key1, !, get_dist(Dist,_Type,_Domain,_Table), get_dist(Dist1,_Type1,_Domain1,_Table1), Dist = Dist1, Parents = Parents1. bind_clpbns(Key, _, _, _, Key1, _, _, _) :- Key\=Key1, !, fail. bind_clpbns(_, _, _, _, _, _, _, _) :- format(user_error, 'unification of two bayesian vars not supported~n', []). same_parents([],[]). same_parents([P|Parents],[P1|Parents1]) :- same_node(P,P1), same_parents(Parents,Parents1). same_node(P,P1) :- P == P1, !. same_node(P,P1) :- get_atts( P,[key(K)]), get_atts(P1,[key(K)]), P = P1. bind_evidence_from_extra_var(Ev1,Var) :- get_atts(Var, [evidence(Ev0)]), !, Ev0 = Ev1. bind_evidence_from_extra_var(Ev1,Var) :- put_atts(Var, [evidence(Ev1)]). user:term_expansion((A :- {}), ( :- true )) :- !, % evidence prolog_load_context(module, M), store_evidence(M:A). clpbn_key(Var,Key) :- get_atts(Var, [key(Key)]). % % only useful for probabilistic context free grammars % clpbn_init_graph(pcg) :- !, pcg_init_graph. clpbn_init_graph(_). % % This is a routine to start a solver, called by the learning procedures (ie, em). % LVs is a list of lists of variables one is interested in eventually marginalising out % Vs0 gives the original graph % AllDiffs gives variables that are not fully constrainted, ie, we don't fully know % the key. In this case, we assume different instances will be bound to different % values at the end of the day. % clpbn_init_solver(LVs, Vs0, VarsWithUnboundKeys, State) :- solver(Solver), clpbn_init_solver(Solver, LVs, Vs0, VarsWithUnboundKeys, State). clpbn_init_solver(ve, LVs, Vs0, VarsWithUnboundKeys, State) :- init_ve_solver(LVs, Vs0, VarsWithUnboundKeys, State). clpbn_init_solver(jt, LVs, Vs0, VarsWithUnboundKeys, State) :- init_jt_solver(LVs, Vs0, VarsWithUnboundKeys, State). clpbn_init_solver(bdd, LVs, Vs0, VarsWithUnboundKeys, State) :- init_bdd_solver(LVs, Vs0, VarsWithUnboundKeys, State). clpbn_init_solver(gibbs, LVs, Vs0, VarsWithUnboundKeys, State) :- init_gibbs_solver(LVs, Vs0, VarsWithUnboundKeys, State). clpbn_init_solver(pcg, LVs, Vs0, VarsWithUnboundKeys, State) :- init_pcg_solver(LVs, Vs0, VarsWithUnboundKeys, State). % % LVs is the list of lists of variables to marginalise % Vs is the full graph % Ps are the probabilities on LVs. % clpbn_run_solver(LVs, LPs, State) :- solver(Solver), clpbn_run_solver(Solver, LVs, LPs, State). clpbn_run_solver(ve, LVs, LPs, State) :- run_ve_solver(LVs, LPs, State). clpbn_run_solver(jt, LVs, LPs, State) :- run_jt_solver(LVs, LPs, State). clpbn_run_solver(bdd, LVs, LPs, State) :- run_bdd_solver(LVs, LPs, State). clpbn_run_solver(gibbs, LVs, LPs, State) :- run_gibbs_solver(LVs, LPs, State). clpbn_run_solver(pcg, LVs, LPs, State) :- run_pcg_solver(LVs, LPs, State). % % This is a routine to start a solver, called by the learning procedures (ie, em). % pfl_init_solver(QueryKeys, AllKeys, Factors, Evidence, State) :- em_solver(Solver), (lifted_solver(Solver) -> format("Error: you cannot use a lifted solver for learning.", [Solver]), fail ; true ), (ground_solver(Solver) -> true ; format("Error: solver '~w' is unknown.", [Solver]), fail ), pfl_init_solver(QueryKeys, AllKeys, Factors, Evidence, State, Solver). pfl_init_solver(QueryKeys, AllKeys, Factors, Evidence, State, ve) :- !, init_ve_ground_solver(QueryKeys, AllKeys, Factors, Evidence, State). pfl_init_solver(QueryKeys, AllKeys, Factors, Evidence, State, hve) :- !, clpbn_horus:set_horus_flag(ground_solver, ve), init_horus_ground_solver(QueryKeys, AllKeys, Factors, Evidence, State). pfl_init_solver(QueryKeys, AllKeys, Factors, Evidence, State, bdd) :- !, init_bdd_ground_solver(QueryKeys, AllKeys, Factors, Evidence, State). pfl_init_solver(QueryKeys, AllKeys, Factors, Evidence, State, bp) :- !, clpbn_horus:set_horus_flag(ground_solver, bp), init_horus_ground_solver(QueryKeys, AllKeys, Factors, Evidence, State). pfl_init_solver(QueryKeys, AllKeys, Factors, Evidence, State, cbp) :- !, clpbn_horus:set_horus_flag(ground_solver, cbp), init_horus_ground_solver(QueryKeys, AllKeys, Factors, Evidence, State). pfl_init_solver(_, _, _, _, _, Solver) :- format("Error: solver '~w' can't be used for learning.", [Solver]), fail. pfl_run_solver(LVs, LPs, State) :- em_solver(Solver), pfl_run_solver(LVs, LPs, State, Solver). pfl_run_solver(LVs, LPs, State, ve) :- !, run_ve_ground_solver(LVs, LPs, State). pfl_run_solver(LVs, LPs, State, hve) :- !, run_horus_ground_solver(LVs, LPs, State). pfl_run_solver(LVs, LPs, State, bdd) :- !, run_bdd_ground_solver(LVs, LPs, State). pfl_run_solver(LVs, LPs, State, bp) :- !, run_horus_ground_solver(LVs, LPs, State). pfl_run_solver(LVs, LPs, State, cbp) :- !, run_horus_ground_solver(LVs, LPs, State). pfl_end_solver(State) :- (em_solver(hve) ; em_solver(bp) ; em_solver(cbp)), end_horus_ground_solver(State). pfl_end_solver(_State). add_keys(Key1+V1,_Key2,Key1+V1). probability(Goal, Prob) :- findall(Prob, do_probability(Goal, [], Prob), [Prob]). conditional_probability(Goal, ListOfGoals, Prob) :- \+ ground(Goal), throw(error(ground(Goal),conditional_probability(Goal, ListOfGoals, Prob))). conditional_probability(Goal, ListOfGoals, Prob) :- \+ ground(ListOfGoals), !, throw(error(ground(ListOfGoals),conditional_probability(Goal, ListOfGoals, Prob))). conditional_probability(Goal, ListOfGoals, Prob) :- findall(Prob, do_probability(Goal, ListOfGoals, Prob), [Prob]). do_probability(Goal, ListOfGoals, Prob) :- evidence_to_var(Goal, C, NGoal, V), call_residue(run( ListOfGoals, NGoal), Vars), !, match_probability(Vars, NGoal, C, V, Prob). run(ListOfGoals,Goal) :- do(ListOfGoals), call(Goal). do(M:ListOfGoals) :- do(ListOfGoals, M). do([]). do([], _M). do(G.ListOfGoals, M) :- M:G, do(ListOfGoals, M). evidence_to_var(M:Goal, C, M:VItem, V) :- !, evidence_to_var(Goal, C, VItem, V). evidence_to_var(Goal, C, VItem, V) :- Goal =.. [L|Args], variabilise_last(Args, C, NArgs, V), VItem =.. [L|NArgs]. variabilise_last([Arg], Arg, [V], V). variabilise_last([Arg1,Arg2|Args], Arg, Arg1.NArgs, V) :- variabilise_last(Arg2.Args, Arg, NArgs, V). match_probability(VPs, Goal, C, V, Prob) :- match_probabilities(VPs, Goal, C, V, Prob). match_probabilities([p(V0=C)=Prob|_], _, C, V, Prob) :- V0 == V, !. match_probabilities([_|Probs], G, C, V, Prob) :- match_probabilities(Probs, G, C, V, Prob). goal_to_key(_:Goal, Skolem) :- goal_to_key(Goal, Skolem). goal_to_key(Goal, Skolem) :- functor(Goal, Na, Ar), Ar1 is Ar-1, functor(Skolem, Na, Ar1). :- use_parfactors(on) -> true ; assert(use_parfactors(off)).