1539 lines
37 KiB
Prolog
1539 lines
37 KiB
Prolog
/*
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LPAD and CP-Logic reasoning suite
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File lpadclpbn.pl
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Goal oriented interpreter for LPADs based on SLDNF
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Copyright (c) 2008, Fabrizio Riguzzi
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Inference is performed translating the portion of the LPAD related to the goal
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into CLP(BN)
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*/
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:- set_prolog_flag(unknown,error).
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:- set_prolog_flag(profiling,on).
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:- set_prolog_flag(debug,on).
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:- set_prolog_flag(discontiguous_warnings,on).
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:- set_prolog_flag(single_var_warnings,on).
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:-source.
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%:- module(lpadclpbn, [p/1,
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% s/2,sc/3,s/6,sc/7,set/2,setting/2]).
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:-dynamic rule/5,def_rule/2,setting/2.
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:-use_module(library(lists)).
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:-use_module(library(undgraphs)).
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:-use_module(library(dgraphs)).
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:-use_module(library(avl)).
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:-use_module(library(matrix)).
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/* start of list of parameters that can be set by the user with
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set(Parameter,Value) */
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setting(epsilon_parsing,0.00001).
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setting(save_dot,false).
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setting(ground_body,true).
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/* available values: true, false
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if true, both the head and the body of each clause will be grounded, otherwise
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only the head is grounded. In the case in which the body contains variables
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not appearing in the head, the body represents an existential event */
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setting(cpt_zero,0.0001).
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%setting(order,top_sort).
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setting(order,min_def).
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%setting(order,max_card).
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/* end of list of parameters */
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/* s(GoalsList,Prob) compute the probability of a list of goals
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GoalsLis can have variables, s returns in backtracking all the solutions with
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their corresponding probability */
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s(GL,P):-
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get_ground_portion(GL,CL),!,
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convert_to_bn(CL,GL,[],P).
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s(_GL,0.0).
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/* sc(GoalsList,EvidenceList,Prob) compute the probability of a list of goals
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GoalsList given EvidenceList. Both lists can have variables, sc returns in
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backtracking all the solutions with their corresponding probability
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Time1 is the time for performing resolution
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Time2 is the time for performing bayesian inference */
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sc(GL,GL,1.0).
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sc(GL,GLC,P):-
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get_ground_portion(GL,GLC,CL,Undef),!,
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(Undef=yes->
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P=undef
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;
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convert_to_bn(CL,GL,GLC,P)
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).
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sc(_GL,_GLC,0.0).
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get_ground_portion(GL,CL):-
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setof(Deriv,find_deriv(GL,Deriv),LDup),
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append_all(LDup,[],L),
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remove_head(L,LD),
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remove_duplicates(LD,LD1),
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build_ground_lpad(LD1,0,CL).
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get_ground_portion(GL,GLC,CL,Undef):-
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setof(Deriv,find_deriv(GL,Deriv),LDup),
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(setof(Deriv,find_deriv(GLC,Deriv),LDupC)->
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append_all(LDup,[],L),
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remove_head(L,L1),
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append_all(LDupC,[],LC),
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remove_head(LC,LC1),
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append(L1,LC1,LD),
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remove_duplicates(LD,LD1),
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build_ground_lpad(LD1,0,CL),
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Undef=no
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;
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Undef=yes
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).
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/* s(GoalsList,Prob,Time1,Time2) compute the probability of a list of goals
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GoalsLis can have variables, s returns in backtracking all the solutions with
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their corresponding probability
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Time1 is the time for performing resolution
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Time2 is the time for performing bayesian inference */
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s(GL,P,CPUTime1,CPUTime2,WallTime1,WallTime2):-
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statistics(cputime,[_,_]),
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statistics(walltime,[_,_]),
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(get_ground_portion(GL,CL)->
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statistics(cputime,[_,CT1]),
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CPUTime1 is CT1/1000,
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statistics(walltime,[_,WT1]),
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WallTime1 is WT1/1000,
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print_mem,
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convert_to_bn(CL,GL,[],P),
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statistics(cputime,[_,CT2]),
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CPUTime2 is CT2/1000,
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statistics(walltime,[_,WT2]),
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WallTime2 is WT2/1000
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;
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statistics(cputime,[_,CT1]),
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CPUTime1 is CT1/1000,
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statistics(walltime,[_,WT1]),
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WallTime1 is WT1/1000,
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print_mem,
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CPUTime2=0.0,
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WallTime2=0.0,
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P=0.0
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),
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format(user_error,"~nMemory after inference~n",[]),
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print_mem.
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print_mem:-
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statistics(global_stack,[GS,GSF]),
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statistics(local_stack,[LS,LSF]),
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statistics(heap,[HP,HPF]),
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statistics(trail,[TU,TF]),
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format(user_error,"~nGloabal stack used ~d execution stack free: ~d~n",[GS,GSF]),
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format(user_error,"Local stack used ~d execution stack free: ~d~n",[LS,LSF]),
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format(user_error,"Heap used ~d heap free: ~d~n",[HP,HPF]),
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format(user_error,"Trail used ~d Trail free: ~d~n",[TU,TF]).
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/* sc(GoalsList,EvidenceList,Prob) compute the probability of a list of goals
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GoalsList given EvidenceList. Both lists can have variables, sc returns in
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backtracking all the solutions with their corresponding probability */
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sc(GL,GL,1.0,0.0,0.0,0.0,0.0).
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sc(GL,GLC,P,CPUTime1,CPUTime2,WallTime1,WallTime2):-
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statistics(cputime,[_,_]),
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statistics(walltime,[_,_]),
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(get_ground_portion(GL,GLC,CL,Undef)->
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statistics(cputime,[_,CT1]),
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CPUTime1 is CT1/1000,
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statistics(walltime,[_,WT1]),
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WallTime1 is WT1/1000,
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print_mem,
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(Undef=yes->
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P=undef,
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CPUTime2=0.0,
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WallTime2=0.0
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;
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convert_to_bn(CL,GL,GLC,P),
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statistics(cputime,[_,CT2]),
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CPUTime2 is CT2/1000,
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statistics(walltime,[_,WT2]),
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WallTime2 is WT2/1000
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)
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;
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print_mem,
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statistics(cputime,[_,CT1]),
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CPUTime1 is CT1/1000,
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statistics(walltime,[_,WT1]),
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WallTime1 is WT1/1000,
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CPUTime2=0.0,
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WallTime2=0.0,
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P=0.0
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),
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format(user_error,"~nMemory after inference~n",[]),
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print_mem.
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remove_head([],[]).
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remove_head([(_N,R,S)|T],[(R,S)|T1]):-
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remove_head(T,T1).
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append_all([],L,L):-!.
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append_all([LIntH|IntT],IntIn,IntOut):-
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append(IntIn,LIntH,Int1),
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append_all(IntT,Int1,IntOut).
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process_goals([],[],[]).
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process_goals([H|T],[HG|TG],[HV|TV]):-
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H=..[F,HV|Rest],
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HG=..[F|Rest],
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process_goals(T,TG,TV).
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build_ground_lpad([],_N,[]).
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build_ground_lpad([(R,S)|T],N,[(N1,Head1,Body1)|T1]):-
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rule(R,S,_,Head,Body),
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N1 is N+1,
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merge_identical(Head,Head1),
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remove_built_ins(Body,Body1),
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build_ground_lpad(T,N1,T1).
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remove_built_ins([],[]):-!.
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remove_built_ins([\+H|T],T1):-
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builtin(H),!,
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remove_built_ins(T,T1).
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remove_built_ins([H|T],T1):-
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builtin(H),!,
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remove_built_ins(T,T1).
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remove_built_ins([H|T],[H|T1]):-
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remove_built_ins(T,T1).
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merge_identical([],[]):-!.
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merge_identical([A:P|T],[A:P1|Head]):-
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find_identical(A,P,T,P1,T1),
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merge_identical(T1,Head).
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find_identical(_A,P,[],P,[]):-!.
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find_identical(A,P0,[A:P|T],P1,T1):-!,
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P2 is P0+P,
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find_identical(A,P2,T,P1,T1).
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find_identical(A,P0,[H:P|T],P1,[H:P|T1]):-
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find_identical(A,P0,T,P1,T1).
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convert_to_bn(CL,GL,GLC,P):-
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find_ground_atoms(CL,[],GADup),
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remove_duplicates(GADup,GANull),
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delete(GANull,'',GA),
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undgraph_new(Graph0),
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rule_factors(CL,[],HetF,HomFR,Graph0,Graph1),
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identity_facotrs(GA,_GAD,IF,Graph1,Graph2),
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setting(order,Order)->
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(Order=top_sort->
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dgraph_top_sort(Graph2,SortedAtoms)
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;
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dgraph_to_undgraph(Graph2,Graph3),
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undgraph_vertices(Graph3,SortedAtoms0),
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(Order=max_card->
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max_card_order(SortedAtoms0,[],SortedAtoms,Graph3)
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;
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SortedAtoms=SortedAtoms0
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)
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),
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find_atoms_body(GL,QAtoms),
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append(HomFR,IF,HomF),
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vel(HomF,HetF,QAtoms,GLC,Graph3,SortedAtoms,OutptutTable),
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get_prob_goal(GL,QAtoms,SortedAtoms,OutptutTable,P).
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max_card_order([],SortedAtoms,SortedAtoms,_Graph):-!.
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max_card_order(Atoms,SortedAtoms0,SortedAtoms1,Graph):-
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find_max_card(Atoms,SortedAtoms0,Graph,null,-1,At),
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delete(Atoms,At,Atoms1),
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max_card_order(Atoms1,[At|SortedAtoms0],SortedAtoms1,Graph).
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find_max_card([],_SortedAtoms,_Graph,At,_MaxCard,At):-!.
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find_max_card([HVar|T],SortedAtoms,Graph,MaxAt0,MaxCard0,MaxAt1):-
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(
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(HVar \= d(_At);HVar=ch(_N))
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;
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HVar = d(Var),
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member(Var,SortedAtoms)
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),!,
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find_card(SortedAtoms,Graph,HVar,0,Card),
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(Card>MaxCard0->
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MaxCard2=Card,
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MaxAt2=HVar
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;
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MaxCard2=MaxCard0,
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MaxAt2=MaxAt0
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),
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find_max_card(T,SortedAtoms,Graph,MaxAt2,MaxCard2,MaxAt1).
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find_max_card([_HVar|T],SortedAtoms,Graph,MaxAt0,MaxCard0,MaxAt1):-
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find_max_card(T,SortedAtoms,Graph,MaxAt0,MaxCard0,MaxAt1).
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find_card([],_Graph,_At,Card,Card):-!.
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find_card([H|T],Graph,At,Card0,Card1):-
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(undgraph_edge(H,At,Graph)->
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Card2 is Card0+1
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;
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Card2 = Card0
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),
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find_card(T,Graph,At,Card2,Card1).
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compute_min_def([],_Eliminated,Graph0,Graph1,MinVar,MinVar,_MinDef0):-
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undgraph_del_vertices(Graph0,[MinVar],Graph1).
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compute_min_def([HVar|TVars],Eliminated,Graph0,Graph1,MinVar0,MinVar1,MinDef0):-
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(
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(HVar=d(_At);HVar=ch(_N))
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;
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member(d(HVar),Eliminated)
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),!,
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compute_def(HVar,Graph0,Def),
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(Def<MinDef0->
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MinDef2=Def,
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MinVar2=HVar
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;
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MinDef2=MinDef0,
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MinVar2=MinVar0
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),
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compute_min_def(TVars,Eliminated,Graph0,Graph1,MinVar2,MinVar1,MinDef2).
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compute_min_def([_HVar|TVars],Eliminated,Graph0,Graph1,MinVar0,MinVar1,MinDef0):-
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compute_min_def(TVars,Eliminated,Graph0,Graph1,MinVar0,MinVar1,MinDef0).
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compute_def(Node,UndGraph,Def):-
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undgraph_neighbors(Node,UndGraph,AdjNodes),
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undgraph_new(SecGraph0),
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section_graph([Node|AdjNodes],UndGraph,SecGraph0,SecGraph1),
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undgraph_complement(SecGraph1,SecGraphC),
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undgraph_edges(SecGraphC, Edges),
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length(Edges,Def).
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section_graph([],_Graph,SG,SG):-!.
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section_graph([H|T],Graph,SecGraph0,SecGraph1):-!,
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undgraph_neighbors(H,Graph,Neig),
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new_edges(Neig,H,Edges),
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undgraph_add_edges(SecGraph0,Edges,SecGraph2),
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section_graph(T,Graph,SecGraph2,SecGraph1).
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new_edges([],_V,[]):-!.
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new_edges([H|T],V,[V-H|TE]):-
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new_edges(T,V,TE).
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get_prob_goal(GL,QAtoms,SortedAtoms,f(M,_D,_S),P):-
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positions(QAtoms,SortedAtoms,VarsPos),
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keysort(VarsPos,Vars1Pos),
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split_map(Vars1Pos,Vars1),
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get_index(Vars1,GL,Index),
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matrix_get(M,Index,P).
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get_index([],_GL,[]):-!.
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get_index([H|Vars1],GL,[1|Index]):-
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member(H,GL),!,
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get_index(Vars1,GL,Index).
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get_index([H|Vars1],GL,[0|Index]):-
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member(\+H,GL),
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get_index(Vars1,GL,Index).
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vel(IF,RF,QAtoms,GLC,Graph,SortedAtoms,OutptutTable):-
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fix_evidence(RF,RF1,GLC),
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fix_evidence(IF,IF1,GLC),
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sort_tables(RF1,RF2,SortedAtoms),
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sort_tables(IF1,IF2,SortedAtoms),
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find_atoms_body(GLC,AtomsC),
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delete_all(QAtoms,SortedAtoms,SortedAtoms1),
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delete_all(AtomsC,SortedAtoms1,SortedAtoms2),
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vel_cycle(SortedAtoms2,IF2,RF2,Graph,SortedAtoms,[],_Eliminated,OutptutTable).
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fix_evidence([],[],_Ev):-!.
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fix_evidence([f(Tab,Dep,Sz)|T],[f(Tab1,Dep1,Sz1)|T1],Ev):-
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simplify_evidence(Ev,Tab,Dep,Sz,Tab1,Dep1,Sz1),
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fix_evidence(T,T1,Ev).
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simplify_evidence([], Table, Deps, Sizes, Table, Deps, Sizes).
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simplify_evidence([V|VDeps], Table0, Deps0, Sizes0, Table, Deps, Sizes) :-!,
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project_from_CPT(V,tab(Table0,Deps0,Sizes0),tab(Table1,Deps1,Sizes1)),
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simplify_evidence(VDeps, Table1, Deps1, Sizes1, Table, Deps, Sizes).
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project_from_CPT(\+H,tab(Table,Deps,_),tab(NewTable,NDeps,NSzs)) :-
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nth0(N,Deps, H),!,
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matrix_select(Table, N, 0, NewTable),
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matrix_dims(NewTable, NSzs),
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delete(Deps,H,NDeps).
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project_from_CPT(H,tab(Table,Deps,_),tab(NewTable,NDeps,NSzs)) :-
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nth0(N,Deps, H),!,
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matrix_select(Table, N, 1, NewTable),
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matrix_dims(NewTable, NSzs),
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delete(Deps,H,NDeps).
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project_from_CPT(_H,tab(Table,Deps,S),tab(Table,Deps,S)).
|
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sort_tables([],[],_SortedAtoms):-!.
|
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sort_tables([f(Mat,Vars,_Sz)|T],[f(Mat1,Vars1,Sz1)|T1],SortedAtoms):-
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reorder_CPT(Vars,SortedAtoms,Vars1,Map),
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matrix_shuffle(Mat,Map,Mat1),
|
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matrix_dims(Mat1,Sz1),
|
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sort_tables(T,T1,SortedAtoms).
|
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|
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delete_all([],L,L):-!.
|
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delete_all([H|T],L0,L1):-
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delete(L0,H,L2),
|
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delete_all(T,L2,L1).
|
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mapping(Vs0,Vs,Map) :-
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add_indices(Vs0,0,I1s),
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add_indices( Vs,I2s),
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keysort(I1s,Ks),
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keysort(I2s,Ks),
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split_map(I2s, Map).
|
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add_indices([],[]).
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add_indices([V|Vs0],[V-_|I1s]) :-
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add_indices(Vs0,I1s).
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split_map([], []).
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split_map([_-M|Is], [M|Map]) :-
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split_map(Is, Map).
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split_pos([], []).
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split_pos([V-_|Is], [V|Map]) :-
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split_pos(Is, Map).
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positions([],_SA,[]):-!.
|
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positions([HV|Vars],SortedAtoms,[Pos-HV|VarsPos]):-
|
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nth(Pos,SortedAtoms,HV),!,
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positions(Vars,SortedAtoms,VarsPos).
|
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|
|
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reorder_CPT(Vars,SortedAtoms,Vars1,Map):-
|
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positions(Vars,SortedAtoms,VarsPos),
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keysort(VarsPos,Vars1Pos),
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split_map(Vars1Pos,Vars1),
|
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mapping(Vars,Vars1,Map).
|
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add_indices([],_,[]).
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add_indices([V|Vs0],I0,[V-I0|Is]) :-
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I is I0+1,
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add_indices(Vs0,I,Is).
|
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vel_cycle([],HomFact,HetFact,_Graph,SortedAtoms,Eliminated,Eliminated,f(Mat1,Dep,Sz)):-!,
|
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combine_factors(HomFact,HetFact,SortedAtoms,f(Mat,Dep,Sz)),
|
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normalise_CPT(Mat,Mat1).
|
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vel_cycle(Vars0,HomFact,HetFact,Graph0,SortedAtoms,Eliminated0,Eliminated1,OutputTable):-
|
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(setting(order,min_def)->
|
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compute_min_def(Vars0,Eliminated0,Graph0,Graph1,null,MinVar,+inf),
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|
delete(Vars0,MinVar,Vars1)
|
|
;
|
|
Vars0=[MinVar|Vars1]
|
|
),
|
|
sum_out1(MinVar,HomFact,HetFact,HomFact1,HetFact1,SortedAtoms),
|
|
append(Eliminated0,[MinVar],Eliminated2),
|
|
vel_cycle(Vars1,HomFact1,HetFact1,Graph1,SortedAtoms,Eliminated2,Eliminated1,OutputTable).
|
|
|
|
normalise_CPT(MAT,NMAT) :-
|
|
matrix_sum(MAT, Sum),
|
|
matrix_op_to_all(MAT,/,Sum,NMAT).
|
|
|
|
combine_factors(HomFacts,HetFacts,SortedAtoms,Fact):-
|
|
combine_tables(HetFacts,HetFact,SortedAtoms),
|
|
multiply_tables([HetFact|HomFacts],Fact,SortedAtoms).
|
|
|
|
|
|
sum_out1(Var,Hom,Het,Hom2,Het2,SortedAtoms):-
|
|
get_factors_with_var(Hom,Var,HomFacts,Hom1),
|
|
multiply_tables(HomFacts,HomFact,SortedAtoms),
|
|
get_factors_with_var(Het,Var,HetFacts,Het1),
|
|
combine_tables(HetFacts,HetFact,SortedAtoms),
|
|
update_factors(Var,HomFact,HetFact,Hom1,Hom2,Het1,Het2,SortedAtoms).
|
|
|
|
update_factors(_Var,[],[],Hom,Hom,Het,Het,_SortedAtoms):-!.
|
|
|
|
update_factors(Var,HomFact,[],Hom,[Fact|Hom],Het,Het,_SortedAtoms):-!,
|
|
sum_var(Var,HomFact,Fact).
|
|
|
|
update_factors(Var,[],HetFact,Hom,Hom,Het,[Fact|Het],_SortedAtoms):-
|
|
sum_var(Var,HetFact,Fact).
|
|
|
|
update_factors(Var,HomFact,HetFact,Hom,Hom,Het,[Fact1|Het],SortedAtoms):-
|
|
multiply_CPTs(HomFact,HetFact,Fact,SortedAtoms),
|
|
sum_var(Var,Fact,Fact1).
|
|
|
|
sum_var(Var,f(Table,Deps,_),f(NewTable,NDeps,NSzs)):-
|
|
nth0(N,Deps, Var),!,
|
|
delete(Deps,Var,NDeps),
|
|
matrix_sum_out(Table, N, NewTable),
|
|
matrix_dims(NewTable, NSzs).
|
|
|
|
combine_tables([],[],_SortedAtoms):-!.
|
|
|
|
combine_tables([Fact],Fact,_SortedAtoms):-!.
|
|
|
|
combine_tables([Fact1,Fact2|T],Fact,SortedAtoms):-
|
|
combine_CPTs(Fact1,Fact2,Fact0,SortedAtoms),
|
|
combine_tables([Fact0|T],Fact,SortedAtoms).
|
|
|
|
get_factors_with_var([],_V,[],[]):-!.
|
|
|
|
get_factors_with_var([f(Table,Vars,Sz)|T],Var,[f(Table,Vars,Sz)|TFV],TRest):-
|
|
member(Var,Vars),!,
|
|
get_factors_with_var(T,Var,TFV,TRest).
|
|
|
|
get_factors_with_var([f(Table,Vars,Sz)|T],Var,TFV,[f(Table,Vars,Sz)|TRest]):-
|
|
get_factors_with_var(T,Var,TFV,TRest).
|
|
|
|
multiply_tables([], [],_SorteAtoms) :- !.
|
|
|
|
multiply_tables([Table], Table,_SorteAtoms) :- !.
|
|
multiply_tables([TAB1, TAB2| Tables], Out,SorteAtoms) :-
|
|
multiply_CPTs(TAB1, TAB2, TAB,SorteAtoms),
|
|
multiply_tables([TAB| Tables], Out,SorteAtoms).
|
|
|
|
combine_CPTs(f(Tab1, Deps1, Sz1), f(Tab2, Deps2, Sz2), F, SortedAtoms) :-
|
|
get_common_conv(Deps1,Deps2,CommConv),
|
|
rename_convergent(1,CommConv,Deps1,Deps11,[],NewAt0),
|
|
rename_convergent(2,CommConv,Deps2,Deps21,NewAt0,NewAt1),
|
|
update_sorted(SortedAtoms,NewAt1,SortedAtoms1),
|
|
expand_tabs(Deps11, Sz1, Deps21, Sz2, Map1, Map2, NDeps0,SortedAtoms1),
|
|
matrix_expand(Tab1, Map1, NTab1),
|
|
matrix_expand(Tab2, Map2, NTab2),
|
|
matrix_op(NTab1,NTab2,*,OT0),
|
|
matrix_dims(OT0,NSz0),
|
|
sum_fact(CommConv,OT0,NDeps0,NSz0,OT,NDeps,NSz),
|
|
sort_tables([f(OT, NDeps, NSz)],[F],SortedAtoms).
|
|
|
|
get_common_conv(Deps1,Deps2,CommConv):-
|
|
get_conv(Deps1,C1),
|
|
get_conv(Deps2,C2),
|
|
intersection(C1,C2,CommConv).
|
|
|
|
get_conv([],[]):-!.
|
|
|
|
get_conv([d(H)|T],[H|T1]):-!,
|
|
get_conv(T,T1).
|
|
|
|
get_conv([_H|T],T1):-!,
|
|
get_conv(T,T1).
|
|
|
|
|
|
sum_fact([],T,D,S,T,D,S):-!.
|
|
|
|
% remove_renamed_conv(D0,D1).
|
|
|
|
sum_fact([H|T],T0,D0,S0,T1,D1,S1):-
|
|
simplify_evidence([\+d(H,1),\+d(H,2)],T0,D0,S0,Tff,D,S),
|
|
simplify_evidence([\+d(H,1),d(H,2)],T0,D0,S0,Tft,D,S),
|
|
simplify_evidence([d(H,1),\+d(H,2)],T0,D0,S0,Ttf,D,S),
|
|
simplify_evidence([d(H,1),d(H,2)],T0,D0,S0,Ttt,D,S),
|
|
matrix_op(Tft,Ttf,+,T2),
|
|
matrix_op(T2,Ttt,+,T3),
|
|
matrix_to_list(T3,Lt),
|
|
matrix_to_list(Tff,Lf),
|
|
append(Lf,Lt,L),
|
|
matrix_new(floats, [2|S], L,T4),
|
|
sum_fact(T,T4,[d(H)|D],[2|S],T1,D1,S1).
|
|
|
|
remove_renamed_conv([],[]):-!.
|
|
|
|
remove_renamed_conv([d(H,_N)|D0],[d(H)|D1]):-!,
|
|
remove_renamed_conv(D0,D1).
|
|
|
|
remove_renamed_conv([H|D0],[H|D1]):-
|
|
remove_renamed_conv(D0,D1).
|
|
|
|
|
|
|
|
update_sorted([],_NewAt,[]):-!.
|
|
|
|
update_sorted([d(H)|T],NewAt,[d(H,1)|T1]):-
|
|
member(d(H,1),NewAt),!,
|
|
update_sorted1(H,T,NewAt,T1).
|
|
|
|
update_sorted([d(H)|T],NewAt,[d(H,2)|T1]):-
|
|
member(d(H,2),NewAt),!,
|
|
update_sorted(T,NewAt,T1).
|
|
|
|
update_sorted([H|T],NewAt,[H|T1]):-
|
|
update_sorted(T,NewAt,T1).
|
|
|
|
update_sorted1(H,T,NewAt,[d(H,2)|T1]):-
|
|
member(d(H,2),NewAt),!,
|
|
update_sorted(T,NewAt,T1).
|
|
|
|
update_sorted1(_H,T,NewAt,T1):-
|
|
update_sorted(T,NewAt,T1).
|
|
|
|
rename_convergent(_N,_CommConv,[],[],NA,NA):-!.
|
|
|
|
rename_convergent(N,CommConv,[d(H)|T],[d(H,N)|T1],NA0,[d(H,N)|NA1]):-
|
|
member(H,CommConv),!,
|
|
rename_convergent(N,CommConv,T,T1,NA0,NA1).
|
|
|
|
rename_convergent(N,CommConv,[H|T],[H|T1],NA0,NA1):-
|
|
rename_convergent(N,CommConv,T,T1,NA0,NA1).
|
|
|
|
|
|
multiply_CPTs(f(Tab1, Deps1, Sz1), f(Tab2, Deps2, Sz2), f(OT, NDeps, NSz), SortedAtoms) :-
|
|
expand_tabs(Deps1, Sz1, Deps2, Sz2, Map1, Map2, NDeps,SortedAtoms),
|
|
matrix_expand(Tab1, Map1, NTab1),
|
|
matrix_expand(Tab2, Map2, NTab2),
|
|
matrix_op(NTab1,NTab2,*,OT),
|
|
matrix_dims(OT,NSz).
|
|
|
|
expand_tabs([], [], [], [], [], [], [],_SortedAtoms):-!.
|
|
expand_tabs([V1|Deps1], [S1|Sz1], [], [], [0|Map1], [S1|Map2], [V1|NDeps],SortedAtoms) :-!,
|
|
expand_tabs(Deps1, Sz1, [], [], Map1, Map2, NDeps,SortedAtoms).
|
|
expand_tabs([], [], [V2|Deps2], [S2|Sz2], [S2|Map1], [0|Map2], [V2|NDeps],SortedAtoms) :-!,
|
|
expand_tabs([], [], Deps2, Sz2, Map1, Map2, NDeps,SortedAtoms).
|
|
expand_tabs([V1|Deps1], [S1|Sz1], [V2|Deps2], [S2|Sz2], Map1, Map2, NDeps,SortedAtoms) :-
|
|
compare_var(C,V1,V2,SortedAtoms),
|
|
(C == = ->
|
|
NDeps = [V1|MDeps],
|
|
Map1 = [0|M1],
|
|
Map2 = [0|M2],
|
|
NDeps = [V1|MDeps],
|
|
expand_tabs(Deps1, Sz1, Deps2, Sz2, M1, M2, MDeps,SortedAtoms)
|
|
;
|
|
C == < ->
|
|
NDeps = [V1|MDeps],
|
|
Map1 = [0|M1],
|
|
Map2 = [S1|M2],
|
|
NDeps = [V1|MDeps],
|
|
expand_tabs(Deps1, Sz1, [V2|Deps2], [S2|Sz2], M1, M2, MDeps,SortedAtoms)
|
|
;
|
|
NDeps = [V2|MDeps],
|
|
Map1 = [S2|M1],
|
|
Map2 = [0|M2],
|
|
NDeps = [V2|MDeps],
|
|
expand_tabs([V1|Deps1], [S1|Sz1], Deps2, Sz2, M1, M2, MDeps,SortedAtoms)
|
|
).
|
|
|
|
compare_var(C,V1,V2,SortedAtoms):-
|
|
nth(N1,SortedAtoms,V1),
|
|
nth(N2,SortedAtoms,V2),!,
|
|
compare(C,N1,N2).
|
|
|
|
deputy_atoms([],[]):-!.
|
|
|
|
deputy_atoms([H|T],[d(H)|T1]):-
|
|
deputy_atoms(T,T1).
|
|
|
|
identity_facotrs([],[],[],Graph,Graph):-!.
|
|
|
|
identity_facotrs([H|T],[d(H)|TD],[f(Mat,[d(H),H],[2,2])|TF],Graph0,Graph1):-
|
|
dgraph_add_edges(Graph0,[d(H)-H],Graph2),
|
|
matrix_new(floats, [2,2], [1.0,0.0,0.0,1.0],Mat),
|
|
identity_facotrs(T,TD,TF,Graph2,Graph1).
|
|
|
|
|
|
find_rules_with_atom(_A,[],[]).
|
|
|
|
find_rules_with_atom(A,[(N,Head,_Body)|T],[(N,Head)|R]):-
|
|
member(A:_P,Head),!,
|
|
find_rules_with_atom(A,T,R).
|
|
|
|
find_rules_with_atom(A,[_H|T],R):-
|
|
find_rules_with_atom(A,T,R).
|
|
|
|
rule_factors([],HetF,HetF,[],Graph,Graph):-!.
|
|
|
|
rule_factors([(N,Head,Body)|T],HetF0,HetF1,[f(Mat,Deps,Sizes)|HomF],Graph0,Graph1):-
|
|
find_atoms_head(Head,Atoms,Probs),
|
|
length(Body,LB),
|
|
list2(0,LB,Sizes0),
|
|
length(Head,LH),
|
|
LH1 is LH-1,
|
|
list0(0,LH1,FalseCol0),
|
|
append(FalseCol0,[1.0],FalseCol),
|
|
build_table(Probs,FalseCol,Body,Table),
|
|
append(Sizes0,[LH],Sizes),
|
|
matrix_new(floats,Sizes,Table,Mat),
|
|
find_atoms_body(Body,BodyAtoms),
|
|
append(BodyAtoms,[ch(N)],Deps),
|
|
gen_het_factors(Atoms,N,LH,0,HetF0,HetF2),
|
|
add_hom_edges_to_graph(BodyAtoms,N,Graph0,Graph2),
|
|
add_het_edges_to_graph(Atoms,N,Graph2,Graph3),
|
|
rule_factors(T,HetF2,HetF1,HomF,Graph3,Graph1).
|
|
|
|
|
|
build_table(Probs,FalseCol,Body,T):-!,
|
|
build_col(Body,t,Probs,FalseCol,[],T).
|
|
|
|
build_col([],t,Probs,_FalseCol,T0,T1):-!,
|
|
append(T0,Probs,T1).
|
|
|
|
build_col([],f,_Probs,FalseCol,T0,T1):-!,
|
|
append(T0,FalseCol,T1).
|
|
|
|
build_col([\+ _H|T],Truth,Probs,FalseCol,T0,T1):-!,
|
|
build_col(T,Truth,Probs,FalseCol,T0,T2),
|
|
build_col(T,f,Probs,FalseCol,T2,T1).
|
|
|
|
build_col([_H|T],Truth,Probs,FalseCol,T0,T1):-
|
|
build_col(T,f,Probs,FalseCol,T0,T2),
|
|
build_col(T,Truth,Probs,FalseCol,T2,T1).
|
|
|
|
add_hom_edges_to_graph([],_N,Graph,Graph):-!.
|
|
|
|
add_hom_edges_to_graph([H|T],N,Graph0,Graph1):-
|
|
dgraph_add_edges(Graph0,[H-ch(N)],Graph2),
|
|
add_hom_edges_to_graph(T,N,Graph2,Graph1).
|
|
|
|
add_het_edges_to_graph([''],_N,Graph,Graph):-!.
|
|
|
|
add_het_edges_to_graph([H|T],N,Graph0,Graph1):-
|
|
dgraph_add_edges(Graph0,[ch(N)-d(H)],Graph2),
|
|
add_het_edges_to_graph(T,N,Graph2,Graph1).
|
|
|
|
add_edges_to_graph([],_Atoms,Graph,Graph):-!.
|
|
|
|
add_edges_to_graph([H|T],Atoms,Graph0,Graph1):-
|
|
add_edges_from_atom(Atoms,H,Graph0,Graph2),
|
|
add_edges_to_graph(T,Atoms,Graph2,Graph1).
|
|
|
|
add_edges_from_atom([''],_At,Graph,Graph):-!.
|
|
|
|
add_edges_from_atom([H|T],At,Graph0,Graph1):-
|
|
dgraph_add_edges(Graph0,[At-d(H)],Graph2),
|
|
add_edges_from_atom(T,At,Graph2,Graph1).
|
|
|
|
gen_het_factors([''],_N,_LH,_Pos,HetF,HetF):-!.
|
|
|
|
gen_het_factors([H|Atoms],N,LH,Pos,HetF0,[f(Mat,[ch(N),d(H)],[LH,2])|HetF1]):-
|
|
gen_het_table(0,LH,Pos,Table),
|
|
matrix_new(floats, [LH,2], Table, Mat),
|
|
Pos1 is Pos+1,
|
|
gen_het_factors(Atoms,N,LH,Pos1,HetF0,HetF1).
|
|
|
|
gen_het_table(N,N,_Pos,[]):-!.
|
|
|
|
gen_het_table(N0,N,N0,[0.0,1.0|T]):-!,
|
|
N1 is N0+1,
|
|
gen_het_table(N1,N,N0,T).
|
|
|
|
gen_het_table(N0,N,Pos,[1.0,0.0|T]):-
|
|
N1 is N0+1,
|
|
gen_het_table(N1,N,Pos,T).
|
|
|
|
|
|
|
|
get_parents([],_AV,[]).
|
|
|
|
get_parents([\+ H|T],AV,[V|T1]):-!,
|
|
avl_lookup(H,V,AV),
|
|
get_parents(T,AV,T1).
|
|
|
|
get_parents([H|T],AV,[V|T1]):-!,
|
|
avl_lookup(H,V,AV),
|
|
get_parents(T,AV,T1).
|
|
|
|
choice_vars([],Tr,Tr,[]).
|
|
|
|
choice_vars([(N,_H,_B)|T],Tr0,Tr1,[NV|T1]):-
|
|
avl_insert(N,NV,Tr0,Tr2),
|
|
choice_vars(T,Tr2,Tr1,T1).
|
|
|
|
atom_vars([],Tr,Tr,[]).
|
|
|
|
atom_vars([H|T],Tr0,Tr1,[VH|VT]):-
|
|
avl_insert(H,VH,Tr0,Tr2),
|
|
atom_vars(T,Tr2,Tr1,VT).
|
|
|
|
find_ground_atoms([],GA,GA).
|
|
|
|
find_ground_atoms([(_N,Head,Body)|T],GA0,GA1):-
|
|
find_atoms_head(Head,AtH,_P),
|
|
append(GA0,AtH,GA2),
|
|
find_atoms_body(Body,AtB),
|
|
append(GA2,AtB,GA3),
|
|
find_ground_atoms(T,GA3,GA1).
|
|
|
|
find_atoms_body([],[]).
|
|
|
|
find_atoms_body([\+H|T],[H|T1]):-!,
|
|
find_atoms_body(T,T1).
|
|
|
|
find_atoms_body([H|T],[H|T1]):-
|
|
find_atoms_body(T,T1).
|
|
|
|
|
|
find_atoms_head([],[],[]).
|
|
|
|
find_atoms_head([H:P|T],[H|TA],[P|TP]):-
|
|
find_atoms_head(T,TA,TP).
|
|
|
|
|
|
find_deriv(GoalsList,Deriv):-
|
|
solve(GoalsList,[],DerivDup),
|
|
remove_duplicates(DerivDup,Deriv).
|
|
/* duplicate can appear in the C set because two different unistantiated clauses may become the
|
|
same clause when instantiated */
|
|
|
|
|
|
|
|
/* solve(GoalsList,CIn,COut) takes a list of goals and an input C set
|
|
and returns an output C set
|
|
The C set is a list of triple (N,R,S) where
|
|
- N is the index of the head atom used, starting from 0
|
|
- R is the index of the non ground rule used, starting from 1
|
|
- S is the substitution of rule R, in the form of a list whose elements
|
|
are of the form 'VarName'=value
|
|
*/
|
|
solve([],C,C):-!.
|
|
|
|
solve([bagof(V,EV^G,L)|T],CIn,COut):-!,
|
|
list2and(GL,G),
|
|
bagof((V,C),EV^solve(GL,CIn,C),LD),
|
|
length(LD,N),
|
|
build_initial_graph(N,GrIn),
|
|
build_graph(LD,0,GrIn,Gr),
|
|
clique(Gr,Clique),
|
|
build_Cset(LD,Clique,L,[],C1),
|
|
remove_duplicates_eq(C1,C2),
|
|
solve(T,C2,COut).
|
|
|
|
solve([bagof(V,G,L)|T],CIn,COut):-!,
|
|
list2and(GL,G),
|
|
bagof((V,C),solve(GL,CIn,C),LD),
|
|
length(LD,N),
|
|
build_initial_graph(N,GrIn),
|
|
build_graph(LD,0,GrIn,Gr),
|
|
clique(Gr,Clique),
|
|
build_Cset(LD,Clique,L,[],C1),
|
|
remove_duplicates_eq(C1,C2),
|
|
solve(T,C2,COut).
|
|
|
|
|
|
solve([setof(V,EV^G,L)|T],CIn,COut):-!,
|
|
list2and(GL,G),
|
|
setof((V,C),EV^solve(GL,CIn,C),LD),
|
|
length(LD,N),
|
|
build_initial_graph(N,GrIn),
|
|
build_graph(LD,0,GrIn,Gr),
|
|
clique(Gr,Clique),
|
|
build_Cset(LD,Clique,L1,[],C1),
|
|
remove_duplicates(L1,L),
|
|
solve(T,C1,COut).
|
|
|
|
solve([setof(V,G,L)|T],CIn,COut):-!,
|
|
list2and(GL,G),
|
|
setof((V,C),solve(GL,CIn,C),LD),
|
|
length(LD,N),
|
|
build_initial_graph(N,GrIn),
|
|
build_graph(LD,0,GrIn,Gr),
|
|
clique(Gr,Clique),
|
|
build_Cset(LD,Clique,L1,[],C1),
|
|
remove_duplicates(L1,L),
|
|
solve(T,C1,COut).
|
|
|
|
solve([\+ H |T],CIn,COut):-!,
|
|
list2and(HL,H),
|
|
(setof(D,find_deriv(HL,D),LDup)->
|
|
rem_dup_lists(LDup,[],L),
|
|
choose_clauses(CIn,L,C1),
|
|
solve(T,C1,COut)
|
|
;
|
|
solve(T,CIn,COut)
|
|
).
|
|
|
|
solve([H|T],CIn,COut):-
|
|
builtin(H),!,
|
|
call(H),
|
|
solve(T,CIn,COut).
|
|
|
|
solve([H|T],CIn,COut):-
|
|
def_rule(H,B),
|
|
append(B,T,NG),
|
|
solve(NG,CIn,COut).
|
|
|
|
solve([H|T],CIn,COut):-
|
|
find_rule(H,(R,S,N),B,CIn),
|
|
solve_pres(R,S,N,B,T,CIn,COut).
|
|
|
|
solve_pres(R,S,N,B,T,CIn,COut):-
|
|
member_eq((N,R,S),CIn),!,
|
|
append(B,T,NG),
|
|
solve(NG,CIn,COut).
|
|
|
|
solve_pres(R,S,N,B,T,CIn,COut):-
|
|
append(CIn,[(N,R,S)],C1),
|
|
append(B,T,NG),
|
|
solve(NG,C1,COut).
|
|
|
|
build_initial_graph(N,G):-
|
|
listN(0,N,Vert),
|
|
add_vertices([],Vert,G).
|
|
|
|
|
|
build_graph([],_N,G,G).
|
|
|
|
build_graph([(_V,C)|T],N,GIn,GOut):-
|
|
N1 is N+1,
|
|
compatible(C,T,N,N1,GIn,G1),
|
|
build_graph(T,N1,G1,GOut).
|
|
|
|
compatible(_C,[],_N,_N1,G,G).
|
|
|
|
compatible(C,[(_V,H)|T],N,N1,GIn,GOut):-
|
|
(compatible(C,H)->
|
|
add_edges(GIn,[N-N1,N1-N],G1)
|
|
;
|
|
G1=GIn
|
|
),
|
|
N2 is N1 +1,
|
|
compatible(C,T,N,N2,G1,GOut).
|
|
|
|
compatible([],_C).
|
|
|
|
compatible([(N,R,S)|T],C):-
|
|
not_present_with_a_different_head(N,R,S,C),
|
|
compatible(T,C).
|
|
|
|
not_present_with_a_different_head(_N,_R,_S,[]).
|
|
|
|
not_present_with_a_different_head(N,R,S,[(N,R,S)|T]):-!,
|
|
not_present_with_a_different_head(N,R,S,T).
|
|
|
|
not_present_with_a_different_head(N,R,S,[(_N1,R,S1)|T]):-
|
|
S\=S1,!,
|
|
not_present_with_a_different_head(N,R,S,T).
|
|
|
|
not_present_with_a_different_head(N,R,S,[(_N1,R1,_S1)|T]):-
|
|
R\=R1,
|
|
not_present_with_a_different_head(N,R,S,T).
|
|
|
|
|
|
|
|
build_Cset(_LD,[],[],C,C).
|
|
|
|
build_Cset(LD,[H|T],[V|L],CIn,COut):-
|
|
nth0(H,LD,(V,C)),
|
|
append(C,CIn,C1),
|
|
build_Cset(LD,T,L,C1,COut).
|
|
|
|
|
|
/* find_rule(G,(R,S,N),Body,C) takes a goal G and the current C set and
|
|
returns the index R of a disjunctive rule resolving with G together with
|
|
the index N of the resolving head, the substitution S and the Body of the
|
|
rule */
|
|
find_rule(H,(R,S,N),Body,C):-
|
|
rule(R,S,_,Head,Body),
|
|
member_head(H,Head,0,N),
|
|
not_already_present_with_a_different_head(N,R,S,C).
|
|
|
|
find_rule(H,(R,S,Number),Body,C):-
|
|
rule(R,S,_,uniform(H:1/_Num,_P,Number),Body),
|
|
not_already_present_with_a_different_head(Number,R,S,C).
|
|
|
|
not_already_present_with_a_different_head(_N,_R,_S,[]).
|
|
|
|
not_already_present_with_a_different_head(N,R,S,[(N1,R,S1)|T]):-
|
|
not_different(N,N1,S,S1),!,
|
|
not_already_present_with_a_different_head(N,R,S,T).
|
|
|
|
not_already_present_with_a_different_head(N,R,S,[(_N1,R1,_S1)|T]):-
|
|
R\==R1,
|
|
not_already_present_with_a_different_head(N,R,S,T).
|
|
|
|
not_different(_N,_N1,S,S1):-
|
|
S\=S1,!.
|
|
|
|
not_different(N,N1,S,S1):-
|
|
N\=N1,!,
|
|
dif(S,S1).
|
|
|
|
not_different(N,N,S,S).
|
|
|
|
|
|
member_head(H,[(H:_P)|_T],N,N).
|
|
|
|
member_head(H,[(_H:_P)|T],NIn,NOut):-
|
|
N1 is NIn+1,
|
|
member_head(H,T,N1,NOut).
|
|
|
|
/* choose_clauses(CIn,LC,COut) takes as input the current C set and
|
|
the set of C sets for a negative goal and returns a new C set that
|
|
excludes all the derivations for the negative goals */
|
|
choose_clauses(C,[],C).
|
|
|
|
choose_clauses(CIn,[D|T],COut):-
|
|
member((N,R,S),D),
|
|
already_present_with_a_different_head(N,R,S,CIn),!,
|
|
choose_a_head(N,R,S,CIn,C1),
|
|
choose_clauses(C1,T,COut).
|
|
|
|
|
|
choose_clauses(CIn,[D|T],COut):-
|
|
member((N,R,S),D),
|
|
new_head(N,R,S,N1),
|
|
\+ already_present(N1,R,S,CIn),
|
|
impose_dif_cons(R,S,CIn),
|
|
choose_clauses([(N1,R,S)|CIn],T,COut).
|
|
|
|
impose_dif_cons(_R,_S,[]):-!.
|
|
|
|
impose_dif_cons(R,S,[(_NH,R,SH)|T]):-!,
|
|
dif(S,SH),
|
|
impose_dif_cons(R,S,T).
|
|
|
|
impose_dif_cons(R,S,[_H|T]):-
|
|
impose_dif_cons(R,S,T).
|
|
|
|
/* instantiation_present_with_the_same_head(N,R,S,C)
|
|
takes rule R with substitution S and selected head N and a C set
|
|
and asserts dif constraints for all the clauses in C of which RS
|
|
is an instantitation and have the same head selected */
|
|
instantiation_present_with_the_same_head(_N,_R,_S,[]).
|
|
|
|
instantiation_present_with_the_same_head(N,R,S,[(NH,R,SH)|T]):-
|
|
\+ \+ S=SH,!,
|
|
dif_head_or_subs(N,R,S,NH,SH,T).
|
|
|
|
instantiation_present_with_the_same_head(N,R,S,[_H|T]):-
|
|
instantiation_present_with_the_same_head(N,R,S,T).
|
|
|
|
dif_head_or_subs(N,R,S,NH,_SH,T):-
|
|
dif(N,NH),
|
|
instantiation_present_with_the_same_head(N,R,S,T).
|
|
|
|
dif_head_or_subs(N,R,S,N,SH,T):-
|
|
dif(S,SH),
|
|
instantiation_present_with_the_same_head(N,R,S,T).
|
|
|
|
/* case 1 of Select: a more general rule is present in C with
|
|
a different head, instantiate it */
|
|
choose_a_head(N,R,S,[(NH,R,SH)|T],[(NH,R,SH)|T]):-
|
|
S=SH,
|
|
dif(N,NH).
|
|
|
|
/* case 2 of Select: a more general rule is present in C with
|
|
a different head, ensure that they do not generate the same
|
|
ground clause */
|
|
choose_a_head(N,R,S,[(NH,R,SH)|T],[(NH,R,S),(NH,R,SH)|T]):-
|
|
\+ \+ S=SH, S\==SH,
|
|
dif(N,NH),
|
|
dif(S,SH).
|
|
|
|
choose_a_head(N,R,S,[H|T],[H|T1]):-
|
|
choose_a_head(N,R,S,T,T1).
|
|
|
|
/* select a head different from N for rule R with
|
|
substitution S, return it in N1 */
|
|
new_head(N,R,S,N1):-
|
|
rule(R,S,Numbers,Head,_Body),
|
|
Head\=uniform(_,_,_),!,
|
|
nth0(N, Numbers, _Elem, Rest),
|
|
member(N1,Rest).
|
|
|
|
new_head(N,R,S,N1):-
|
|
rule(R,S,Numbers,uniform(_A:1/Tot,_L,_Number),_Body),
|
|
listN(0,Tot,Numbers),
|
|
nth0(N, Numbers, _Elem, Rest),
|
|
member(N1,Rest).
|
|
|
|
already_present_with_a_different_head(N,R,S,[(NH,R,SH)|_T]):-
|
|
\+ \+ S=SH,NH \= N.
|
|
|
|
already_present_with_a_different_head(N,R,S,[_H|T]):-
|
|
already_present_with_a_different_head(N,R,S,T).
|
|
|
|
|
|
/* checks that a rule R with head N and selection S is already
|
|
present in C (or a generalization of it is in C) */
|
|
already_present(N,R,S,[(N,R,SH)|_T]):-
|
|
S=SH.
|
|
|
|
already_present(N,R,S,[_H|T]):-
|
|
already_present(N,R,S,T).
|
|
|
|
/* rem_dup_lists removes the C sets that are a superset of
|
|
another C sets further on in the list of C sets */
|
|
/* rem_dup_lists removes the C sets that are a superset of
|
|
another C sets further on in the list of C sets */
|
|
rem_dup_lists([],L,L).
|
|
|
|
rem_dup_lists([H|T],L0,L):-
|
|
(member_subset(H,T);member_subset(H,L0)),!,
|
|
rem_dup_lists(T,L0,L).
|
|
|
|
rem_dup_lists([H|T],L0,L):-
|
|
rem_dup_lists(T,[H|L0],L).
|
|
|
|
member_subset(E,[H|_T]):-
|
|
subset_my(H,E),!.
|
|
|
|
member_subset(E,[_H|T]):-
|
|
member_subset(E,T).
|
|
|
|
|
|
|
|
/* predicates for building the formula to be converted into a BDD */
|
|
|
|
/* build_formula(LC,Formula,VarIn,VarOut) takes as input a set of C sets
|
|
LC and a list of Variables VarIn and returns the formula and a new list
|
|
of variables VarOut
|
|
Formula is of the form [Term1,...,Termn]
|
|
Termi is of the form [Factor1,...,Factorm]
|
|
Factorj is of the form (Var,Value) where Var is the index of
|
|
the multivalued variable Var and Value is the index of the value
|
|
*/
|
|
build_formula([],[],Var,Var).
|
|
|
|
build_formula([D|TD],[F|TF],VarIn,VarOut):-
|
|
build_term(D,F,VarIn,Var1),
|
|
build_formula(TD,TF,Var1,VarOut).
|
|
|
|
build_term([],[],Var,Var).
|
|
|
|
build_term([(N,R,S)|TC],[[NVar,N]|TF],VarIn,VarOut):-
|
|
(nth0_eq(0,NVar,VarIn,(R,S))->
|
|
Var1=VarIn
|
|
;
|
|
append(VarIn,[(R,S)],Var1),
|
|
length(VarIn,NVar)
|
|
),
|
|
build_term(TC,TF,Var1,VarOut).
|
|
|
|
/* nth0_eq(PosIn,PosOut,List,El) takes as input a List,
|
|
an element El and an initial position PosIn and returns in PosOut
|
|
the position in the List that contains an element exactly equal to El
|
|
*/
|
|
nth0_eq(N,N,[H|_T],El):-
|
|
H==El,!.
|
|
|
|
nth0_eq(NIn,NOut,[_H|T],El):-
|
|
N1 is NIn+1,
|
|
nth0_eq(N1,NOut,T,El).
|
|
|
|
/* var2numbers converts a list of couples (Rule,Substitution) into a list
|
|
of triples (N,NumberOfHeadsAtoms,ListOfProbabilities), where N is an integer
|
|
starting from 0 */
|
|
var2numbers([],_N,[]).
|
|
|
|
var2numbers([(R,S)|T],N,[[N,ValNumber,Probs]|TNV]):-
|
|
find_probs(R,S,Probs),
|
|
length(Probs,ValNumber),
|
|
N1 is N+1,
|
|
var2numbers(T,N1,TNV).
|
|
|
|
find_probs(R,S,Probs):-
|
|
rule(R,S,_N,Head,_Body),
|
|
get_probs(Head,Probs).
|
|
|
|
get_probs(uniform(_A:1/Num,_P,_Number),ListP):-
|
|
Prob is 1/Num,
|
|
list_el(Num,Prob,ListP).
|
|
|
|
get_probs([],[]).
|
|
|
|
get_probs([_H:P|T],[P1|T1]):-
|
|
P1 is P,
|
|
get_probs(T,T1).
|
|
|
|
list_el(0,_P,[]):-!.
|
|
|
|
list_el(N,P,[P|T]):-
|
|
N1 is N-1,
|
|
list_el(N1,P,T).
|
|
|
|
/* end of predicates for building the formula to be converted into a BDD */list_el(0,_P,[]):-!.
|
|
|
|
|
|
/* start of predicates for parsing an input file containing a program */
|
|
|
|
/* p(File) parses the file File.cpl. It can be called more than once without
|
|
exiting yap */
|
|
p(File):-
|
|
parse(File).
|
|
|
|
parse(File):-
|
|
atom_concat(File,'.cpl',FilePl),
|
|
open(FilePl,read,S),
|
|
read_clauses(S,C),
|
|
close(S),
|
|
retractall(rule(_,_,_,_,_)),
|
|
retractall(def_rule(_,_)),
|
|
process_clauses(C,1).
|
|
|
|
process_clauses([(end_of_file,[])],_N).
|
|
|
|
process_clauses([((H:-B),V)|T],N):-
|
|
H=uniform(A,P,L),!,
|
|
list2and(BL,B),
|
|
process_body(BL,V,V1),
|
|
remove_vars([P],V1,V2),
|
|
append(BL,[length(L,Tot),nth0(Number,L,P)],BL1),
|
|
append(V2,['Tot'=Tot],V3),
|
|
assertz(rule(N,V3,_NH,uniform(A:1/Tot,L,Number),BL1)),
|
|
N1 is N+1,
|
|
process_clauses(T,N1).
|
|
|
|
process_clauses([((H:-B),V)|T],N):-
|
|
H=(_;_),!,
|
|
list2or(HL1,H),
|
|
process_head(HL1,HL),
|
|
list2and(BL,B),
|
|
process_body(BL,V,V1),
|
|
length(HL,LH),
|
|
listN(0,LH,NH),
|
|
assertz(rule(N,V1,NH,HL,BL)),
|
|
N1 is N+1,
|
|
process_clauses(T,N1).
|
|
|
|
process_clauses([((H:-B),V)|T],N):-
|
|
H=(_:_),!,
|
|
list2or(HL1,H),
|
|
process_head(HL1,HL),
|
|
list2and(BL,B),
|
|
process_body(BL,V,V1),
|
|
length(HL,LH),
|
|
listN(0,LH,NH),
|
|
assertz(rule(N,V1,NH,HL,BL)),
|
|
N1 is N+1,
|
|
process_clauses(T,N1).
|
|
|
|
process_clauses([((H:-B),V)|T],N):-!,
|
|
process_head([H:1.0],HL),
|
|
list2and(BL,B),
|
|
process_body(BL,V,V1),
|
|
length(HL,LH),
|
|
listN(0,LH,NH),
|
|
assertz(rule(N,V1,NH,HL,BL)),
|
|
N1 is N+1,
|
|
process_clauses(T,N1).
|
|
|
|
process_clauses([(H,V)|T],N):-
|
|
H=(_;_),!,
|
|
list2or(HL1,H),
|
|
process_head(HL1,HL),
|
|
length(HL,LH),
|
|
listN(0,LH,NH),
|
|
assertz(rule(N,V,NH,HL,[])),
|
|
N1 is N+1,
|
|
process_clauses(T,N1).
|
|
|
|
process_clauses([(H,V)|T],N):-
|
|
H=(_:_),!,
|
|
list2or(HL1,H),
|
|
process_head(HL1,HL),
|
|
length(HL,LH),
|
|
listN(0,LH,NH),
|
|
assertz(rule(N,V,NH,HL,[])),
|
|
N1 is N+1,
|
|
process_clauses(T,N1).
|
|
|
|
process_clauses([(H,V)|T],N):-
|
|
process_head([H:1.0],HL),
|
|
length(HL,LH),
|
|
listN(0,LH,NH),
|
|
assertz(rule(N,V,NH,HL,[])),
|
|
N1 is N+1,
|
|
process_clauses(T,N1).
|
|
|
|
/* if the annotation in the head are not ground, the null atom is not added
|
|
and the eventual formulas are not evaluated */
|
|
|
|
process_head(HL,NHL):-
|
|
(ground_prob(HL)->
|
|
process_head_ground(HL,0.0,NHL)
|
|
;
|
|
NHL=HL
|
|
).
|
|
|
|
ground_prob([]).
|
|
|
|
ground_prob([_H:PH|T]):-
|
|
ground(PH),
|
|
ground_prob(T).
|
|
|
|
process_head_ground([H:PH],P,[H:PH1,'':PNull1]):-!,
|
|
PH1 is PH,
|
|
PNull is 1.0-P-PH1,
|
|
(PNull>=0.0->
|
|
PNull1 =PNull
|
|
;
|
|
PNull1=0.0
|
|
).
|
|
|
|
process_head_ground([H:PH|T],P,[H:PH1|NT]):-
|
|
PH1 is PH,
|
|
P1 is P+PH1,
|
|
process_head_ground(T,P1,NT).
|
|
|
|
/* setof must have a goal of the form B^G where B is a term containing the existential variables */
|
|
process_body([],V,V).
|
|
|
|
process_body([setof(A,B^_G,_L)|T],VIn,VOut):-!,
|
|
get_var(A,VA),
|
|
get_var(B,VB),
|
|
remove_vars(VA,VIn,V1),
|
|
remove_vars(VB,V1,V2),
|
|
process_body(T,V2,VOut).
|
|
|
|
process_body([setof(A,_G,_L)|T],VIn,VOut):-!,
|
|
get_var(A,VA),
|
|
remove_vars(VA,VIn,V1),
|
|
process_body(T,V1,VOut).
|
|
|
|
process_body([bagof(A,B^_G,_L)|T],VIn,VOut):-!,
|
|
get_var(A,VA),
|
|
get_var(B,VB),
|
|
remove_vars(VA,VIn,V1),
|
|
remove_vars(VB,V1,V2),
|
|
process_body(T,V2,VOut).
|
|
|
|
process_body([bagof(A,_G,_L)|T],VIn,VOut):-!,
|
|
get_var(A,VA),
|
|
remove_vars(VA,VIn,V1),
|
|
process_body(T,V1,VOut).
|
|
|
|
process_body([_H|T],VIn,VOut):-!,
|
|
process_body(T,VIn,VOut).
|
|
|
|
get_var_list([],[]).
|
|
|
|
get_var_list([H|T],[H|T1]):-
|
|
var(H),!,
|
|
get_var_list(T,T1).
|
|
|
|
get_var_list([H|T],VarOut):-!,
|
|
get_var(H,Var),
|
|
append(Var,T1,VarOut),
|
|
get_var_list(T,T1).
|
|
|
|
get_var(A,[A]):-
|
|
var(A),!.
|
|
|
|
get_var(A,V):-
|
|
A=..[_F|Args],
|
|
get_var_list(Args,V).
|
|
|
|
remove_vars([],V,V).
|
|
|
|
remove_vars([H|T],VIn,VOut):-
|
|
delete_var(H,VIn,V1),
|
|
remove_vars(T,V1,VOut).
|
|
|
|
delete_var(_H,[],[]).
|
|
|
|
delete_var(V,[VN=Var|T],[VN=Var|T1]):-
|
|
V\==Var,!,
|
|
delete_var(V,T,T1).
|
|
|
|
delete_var(_V,[_H|T],T).
|
|
|
|
/* predicates for reading in the program clauses */
|
|
read_clauses(S,Clauses):-
|
|
(setting(ground_body,true)->
|
|
read_clauses_ground_body(S,Clauses)
|
|
;
|
|
read_clauses_exist_body(S,Clauses)
|
|
).
|
|
|
|
|
|
read_clauses_ground_body(S,[(Cl,V)|Out]):-
|
|
read_term(S,Cl,[variable_names(V)]),
|
|
(Cl=end_of_file->
|
|
Out=[]
|
|
;
|
|
read_clauses_ground_body(S,Out)
|
|
).
|
|
|
|
|
|
read_clauses_exist_body(S,[(Cl,V)|Out]):-
|
|
read_term(S,Cl,[variable_names(VN)]),
|
|
extract_vars_cl(Cl,VN,V),
|
|
(Cl=end_of_file->
|
|
Out=[]
|
|
;
|
|
read_clauses_exist_body(S,Out)
|
|
).
|
|
|
|
|
|
extract_vars_cl(end_of_file,[]).
|
|
|
|
extract_vars_cl(Cl,VN,Couples):-
|
|
(Cl=(H:-_B)->
|
|
true
|
|
;
|
|
H=Cl
|
|
),
|
|
extract_vars(H,[],V),
|
|
pair(VN,V,Couples).
|
|
|
|
|
|
pair(_VN,[],[]).
|
|
|
|
pair([VN= _V|TVN],[V|TV],[VN=V|T]):-
|
|
pair(TVN,TV,T).
|
|
|
|
|
|
extract_vars(Var,V0,V):-
|
|
var(Var),!,
|
|
(member_eq(Var,V0)->
|
|
V=V0
|
|
;
|
|
append(V0,[Var],V)
|
|
).
|
|
|
|
extract_vars(Term,V0,V):-
|
|
Term=..[_F|Args],
|
|
extract_vars_list(Args,V0,V).
|
|
|
|
|
|
extract_vars_list([],V,V).
|
|
|
|
extract_vars_list([Term|T],V0,V):-
|
|
extract_vars(Term,V0,V1),
|
|
extract_vars_list(T,V1,V).
|
|
|
|
|
|
listN(N,N,[]):-!.
|
|
|
|
listN(NIn,N,[NIn|T]):-
|
|
N1 is NIn+1,
|
|
listN(N1,N,T).
|
|
|
|
list2(N,N,[]):-!.
|
|
|
|
list2(NIn,N,[2|T]):-
|
|
N1 is NIn+1,
|
|
list2(N1,N,T).
|
|
|
|
list0(N,N,[]):-!.
|
|
|
|
list0(NIn,N,[0.0|T]):-
|
|
N1 is NIn+1,
|
|
list0(N1,N,T).
|
|
|
|
/* end of predicates for parsing an input file containing a program */
|
|
|
|
/* start of utility predicates */
|
|
list2or([X],X):-
|
|
X\=;(_,_),!.
|
|
|
|
list2or([H|T],(H ; Ta)):-!,
|
|
list2or(T,Ta).
|
|
|
|
list2and([X],X):-
|
|
X\=(_,_),!.
|
|
|
|
list2and([H|T],(H,Ta)):-!,
|
|
list2and(T,Ta).
|
|
|
|
member_eq(A,[H|_T]):-
|
|
A==H,!.
|
|
|
|
member_eq(A,[_H|T]):-
|
|
member_eq(A,T).
|
|
|
|
subset_my([],_).
|
|
|
|
subset_my([H|T],L):-
|
|
member_eq(H,L),
|
|
subset_my(T,L).
|
|
|
|
remove_duplicates_eq([],[]).
|
|
|
|
remove_duplicates_eq([H|T],T1):-
|
|
member_eq(H,T),!,
|
|
remove_duplicates_eq(T,T1).
|
|
|
|
remove_duplicates_eq([H|T],[H|T1]):-
|
|
remove_duplicates_eq(T,T1).
|
|
|
|
builtin(_A is _B).
|
|
builtin(_A > _B).
|
|
builtin(_A < _B).
|
|
builtin(_A >= _B).
|
|
builtin(_A =< _B).
|
|
builtin(_A =:= _B).
|
|
builtin(_A =\= _B).
|
|
builtin(true).
|
|
builtin(false).
|
|
builtin(_A = _B).
|
|
builtin(_A==_B).
|
|
builtin(_A\=_B).
|
|
builtin(_A\==_B).
|
|
builtin(length(_L,_N)).
|
|
builtin(member(_El,_L)).
|
|
builtin(average(_L,_Av)).
|
|
builtin(max_list(_L,_Max)).
|
|
builtin(min_list(_L,_Max)).
|
|
builtin(nth0(_,_,_)).
|
|
builtin(nth(_,_,_)).
|
|
average(L,Av):-
|
|
sum_list(L,Sum),
|
|
length(L,N),
|
|
Av is Sum/N.
|
|
|
|
clique(Graph,Clique):-
|
|
vertices(Graph,Candidates),
|
|
extend_cycle(Graph,Candidates,[],[],Clique).
|
|
|
|
extend_cycle(G,[H|T],Not,CS,CSOut):-
|
|
neighbours(H, G, Neigh),
|
|
intersection(Neigh,T,NewCand),
|
|
intersection(Neigh,Not,NewNot),
|
|
extend(G,NewCand,NewNot,[H|CS],CSOut).
|
|
|
|
extend_cycle(G,[H|T],Not,CS,CSOut):-
|
|
extend_cycle(G,T,[H|Not],CS,CSOut).
|
|
|
|
extend(_G,[],[],CompSub,CompSub):-!.
|
|
|
|
extend(G,Cand,Not,CS,CSOut):-
|
|
extend_cycle(G,Cand,Not,CS,CSOut).
|
|
|
|
intersection([],_Y,[]).
|
|
|
|
intersection([H|T],Y,[H|Z]):-
|
|
member(H,Y),!,
|
|
intersection(T,Y,Z).
|
|
|
|
intersection([_H|T],Y,Z):-
|
|
intersection(T,Y,Z).
|
|
|
|
/* set(Par,Value) can be used to set the value of a parameter */
|
|
set(Parameter,Value):-
|
|
retract(setting(Parameter,_)),
|
|
assert(setting(Parameter,Value)).
|
|
|
|
/* end of utility predicates */
|