353 lines
12 KiB
Prolog
353 lines
12 KiB
Prolog
/*==============================================================================
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* LPAD and CP-Logic reasoning suite
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* File deepit.pl
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* Goal oriented interpreter for LPADs based on SLDNF
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* Copyright (c) 2009, Stefano Bragaglia
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*============================================================================*/
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:- dynamic rule/4, def_rule/2.
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/* EXTERNAL FILE
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* -------------
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* The following libraries are required by the program to work fine.
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*/
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:- use_module(library(lists)).
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:- use_module(library(system)).
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:- use_module(library(ugraphs)).
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:- use_module(params).
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:- use_module(tptree_lpad).
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:- use_module(utility).
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% :- source.
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% :- yap_flag(single_var_warnings, on).
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/* SOLVING PREDICATES
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* ------------------
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* The predicates in this section solve any given problem with several class of
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* algorithms.
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*
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* Note: the original predicates (no more need and eligible to be deleted) have
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* been moved to the end of the file.
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*/
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/* solve(GoalsList, ProbLow, ProbUp, ResTime, BddTime)
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* ---------------------------------------------------
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* This predicate computes the probability of a given list of goals using an
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* iterative deepening algorithm. It also returns the number of handled BDDs and
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* CPUTime spent in performing resolution and in handling the BDDs.
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*
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* INPUT
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* - GoalsList: given list of goal to work on.
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*
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* OUTPUT
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* - ProbLow: the resulting lowerbound probability for the given list of goals.
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* - ProbUp: the resulting upperbound probability for the given list of goals.
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* - ResTime: cpu time spent on performing resolution.
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* - BddTime: cpu time spent on handling BDDs.
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*/
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solve(GoalsList, ProbLow,ProbUp, ResTime, BddTime):-
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setting(min_error, MinError),
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setting(prob_step, ProbStep),
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LogProbStep is log(ProbStep),
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assert(low(0,0.0)),
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assert(up(1.0)),
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init_ptree(1),
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% NB: log(1.0) == 0.0 !!!
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deepdyn([0.0-([], [], GoalsList)], 0, MinError, LogProbStep, ProbLow, ProbUp, 0, ResTime, 0, BddTime),
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delete_ptree(1),
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retract(low(_,_)),
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retract(up(_)).
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/* solve_t(L0,Succ,PB,ProbL0,ProbU0) L0 is a list of quadruples (CG,C,P,G) where
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CG is the list of ground choices, C is the list of non-ground choices,
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P is the probability of CG, G is the list of goals to be resolved,
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Succ is the list of explanations found so far, PB is the current prob bound,
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ProbL0,ProbU0 are the lower/upper prob bounds */
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deepdyn(GoalsList, Number, MinError, ProbStep, LowerProb1, UpperProb1, ResTime0, ResTime1, BddTime0, BddTime1) :-
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% Resetting the clocks...
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statistics(walltime, [_, _]),
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% Performing resolution...
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findall(Prob1-(Gnd1, Var1, Goals1),
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(member(Prob0-(Gnd0, Var0, Goals0), GoalsList), ProbBound is log(Prob0) + ProbStep, explore(ProbBound, Prob0-(Gnd0, Var0, Goals0), Prob1-(Gnd1, Var1, Goals1))),
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List),
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% Taking elapsed times...
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statistics(walltime, [_, ElapResTime]),
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ResTime2 is ResTime0 + ElapResTime/1000,
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% Building and solving equivalent bdds...
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init_ptree(2),
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init_ptree(3),
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separate(List, [], LowerList0, [], UpperList, [], Incomplete),
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insert_list_ptree(LowerList0, 1),
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insert_list_ptree(UpperList, 2),
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merge_ptree(1,2,3),
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length(LowerList0, DeltaLow),
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Next is Number + DeltaLow,
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eval_lower(Next, ProbLow),
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length(UpperList, DeltaUp),
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Temp is Next + DeltaUp,
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eval_upper(Temp, ProbUp),
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delete_ptree(2),
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delete_ptree(3),
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% Taking elapsed times...
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statistics(walltime, [_, ElapBddTime]),
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BddTime2 is BddTime0 + (ElapBddTime / 1000),
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% Is the current error lower than the minimum error?
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(ProbUp - ProbLow < MinError ->
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% Setting output parameters' values...
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LowerProb1 = ProbLow,
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UpperProb1 = ProbUp,
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ResTime1 = ResTime2,
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BddTime1 = BddTime2;
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% Keeping on iterating with accumulated values...
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% sufficient without negation:
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% D1 = DB,
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% necessary for negation
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deepdyn(Incomplete, Next, MinError, ProbStep, LowerProb1, UpperProb1, ResTime2, ResTime1, BddTime2, BddTime1)).
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/* separate(List, Low, Up, Next)
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* ----------------------------------
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* This tail recursive predicate parses the input list and builds the list for
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* the lower bound, the upper bound and the pending goals.
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* The upper bound list contains both the items of the lower bound list and the
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* incomplete ones.
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*
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* INPUT
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* - List: input list.
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*
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* OUTPUT
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* - Low: list for lower bound.
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* - Up: list for upper bound.
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* - Next: list of pending goals.
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*/
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separate(List, Low, Up, Next) :-
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%% Polarization: initial low, up and next lists are empty.
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separate(List, [], Low, [], Up, [], Next).
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separate([], Low, Low, Up, Up, Next, Next) :- !.
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%% Closing condition: stop if no more results (current lists are now final lists).
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separate([_Prob-(Gnd0, [], [])|Tail], Low0, [Gnd0|Low1], Up0, [Gnd0|Up1], Next0, Next1) :- !,
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separate(Tail, Low0, Low1, Up0, Up1, Next0, Next1).
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separate([Prob0-(Gnd0, Var0, Goals)|Tail], Low0, Low1, Up0, [Gnd1|Up1], Next0, [Prob1-(Gnd1, Var1, Goals)|Next1]) :-
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get_groundc(Var0, Gnd2, Var1, 1.0, Prob2),
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append(Gnd0, Gnd2, Gnd1),
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Prob1 is Prob0 + log(Prob2),
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separate(Tail, Low0, Low1, Up0, Up1, Next0, Next1).
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/* explore(ProbBound, Prob0-(Gnd0, Var0, Goals0), Prob1-(Gnd1, Var1, Goals1))
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* --------------------------------------------------------------------------
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* This tail recursive predicate reads current explanation and returns the
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* explanation after the current iteration without dropping below the given
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* probability bound.
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*
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* INPUT
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* - ProbBound: the desired probability bound;
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* - Prob0-(Gnd0, Var0, Goals0): current explanation
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* - Gnd0: list of current ground choices,
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* - Var0: list of current non-ground choices,
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* - Prob0: probability of Gnd0,
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* - Goals0: list of current goals.
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*
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* OUTPUT
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* - Prob1-(Gnd1, Var1, Prob1, Goals1): explanation after current iteration
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* - Gnd1: list of final ground choices,
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* - Var1: list of final non-ground choices,
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* - Prob1: probability of Gnd1,
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* - Goals1: list of final goals.
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*/
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explore(_ProbBound, Prob-(Gnd, Var, []), Prob-(Gnd, Var, [])) :- !.
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%% Closing condition: stop if no more goals (input values are output values).
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explore(ProbBound, Prob-(Gnd, Var, Goals), Prob-(Gnd, Var, Goals)) :-
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%% Closing condition: stop if bound has been reached (input values are output values).
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Prob =< ProbBound, !.
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% Negation, builtin
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explore(ProbBound, Prob0-(Gnd0, Var0, [\+ Head|Tail]), Prob1-(Gnd1, Var1, Goals1)) :-
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builtin(Head), !,
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call((\+ Head)),
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explore(ProbBound, Prob0-(Gnd0, Var0, Tail), Prob1-(Gnd1, Var1, Goals1)).
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%% Recursive call: consider next goal (building next values)
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% Negation
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explore(ProbBound, Prob0-(Gnd0, Var0, [\+ Head|Tail]), Prob1-(Gnd1, Var1, Goals1)) :- !,
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list2and(HeadList, Head), % ...
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findall(Prob-(Gnd, Var, CurrentGoals), explore(ProbBound, 0.0-([], [], HeadList), Prob-(Gnd, Var, CurrentGoals)), List) ->
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separate(List, [], LowerBound, [], _UpperBound, [], PendingGoals),
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(PendingGoals \= [] ->
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Var2 = Var0,
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Gnd2 = Gnd0,
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Goals1 = [\+ Head|Goals],
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explore(ProbBound, Prob0-(Gnd2, Var2, Tail), Prob1-(Gnd1, Var1, Goals));
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%% Recursive call: consider next goal (building next values)
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choose_clausesc(Gnd0, Var0, LowerBound, Var),
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get_groundc(Var, Gnd, Var2, 1, Prob),
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append(Gnd0, Gnd, Gnd2),
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Prob2 is Prob0 + log(Prob),
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explore(ProbBound, Prob2-(Gnd2, Var2, Tail), Prob1-(Gnd1, Var1, Goals1))).
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%% Recursive call: consider next goal (building next values)
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% Main, builtin
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explore(ProbBound, Prob0-(Gnd0, Var0, [Head|Tail]), Prob1-(Gnd1, Var1, Goals1)) :-
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builtin(Head), !,
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call(Head),
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get_groundc(Var0, Gnd, Var2, 1, Prob),
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append(Gnd0, Gnd, Gnd2),
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Prob2 is Prob0 + log(Prob),
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explore(ProbBound, Prob2-(Gnd2, Var2, Tail), Prob1-(Gnd1, Var1, Goals1)).
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% Recursive call: consider next goal (building next values)
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% Main, def_rule
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explore(ProbBound, Prob0-(Gnd0, Var0, [Head|Tail]), Prob1-(Gnd1, Var1, Goals1)) :-
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def_rule(Head, Goals0),
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append(Goals0, Tail, Goals2),
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get_groundc(Var0, Gnd, Var2, 1, Prob),
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append(Gnd0, Gnd, Gnd2),
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Prob2 is Prob0 + log(Prob),
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explore(ProbBound, Prob2-(Gnd2, Var2, Goals2), Prob1-(Gnd1, Var1, Goals1)).
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% Recursive call: consider next goal (building next values)
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% Main, find_rulec
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explore(ProbBound, Prob0-(Gnd0, Var0, [Head|Tail]), Prob1-(Gnd1, Var1, Goals1)) :-
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find_rulec(Head, (R, S, N), Goals, Var0, _Prob),
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explore_pres(ProbBound, R, S, N, Goals, Prob0-(Gnd0, Var0, Tail), Prob1-(Gnd1, Var1, Goals1)).
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explore_pres(ProbBound, R, S, N, Goals, Prob0-(Gnd0, Var0, Goals0), Prob1-(Gnd1, Var1, Goals)) :-
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(member_eq((N, R, S), Var0);
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member_eq((N, R, S), Gnd0)), !,
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append(Goals, Goals0, Goals2),
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get_groundc(Var0, Gnd, Var2, 1, Prob),
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append(Gnd0, Gnd, Gnd2),
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Prob2 is Prob0 + log(Prob),
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explore(ProbBound, Prob2-(Gnd2, Var2, Goals2), Prob1-(Gnd1, Var1, Goals)).
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% Recursive call: consider next goal (building next values)
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explore_pres(ProbBound, R, S, N, Goals, Prob0-(Gnd0, Var0, Goals0), Prob1-(Gnd1, Var1, Goals1)) :-
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append(Var0, [(N, R, S)], Var),
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append(Goals, Goals0, Goals2),
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get_groundc(Var, Gnd, Var2, 1, Prob),
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append(Gnd0, Gnd, Gnd2),
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Prob2 is Prob0 + log(Prob),
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explore(ProbBound, Prob2-(Gnd2, Var2, Goals2), Prob1-(Gnd1, Var1, Goals1)).
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% Recursive call: consider next goal (building next values)
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/* eval_lower(Number, Prob)
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* ------------------------
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* This predicate evaluates if there are proofs for the lower bound by
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* running an external command (BDD resolution via files).
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*/
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eval_lower(Number, Prob) :-
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low(Number, Prob).
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eval_lower(Number, ProbLow) :-
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Number > 0,
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low(OldNumber, _),
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Number \= OldNumber,
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bdd_ptree_map(1, 'bddl.txt', 'bddl.par', 'bddl.map'),
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run_file('bddl.txt', 'bddl.par', NewProbLow),
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(NewProbLow = timeout ->
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low(_, ProbLow);
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ProbLow = NewProbLow,
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retract(low(_, _)),
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assert(low(Number, ProbLow))).
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/* eval_upper(Number, Prob)
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* ------------------------
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* This predicate evaluates if there are proofs for the upper bound by
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* running an external command (BDD resolution via files).
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*/
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eval_upper(0, ProbUp) :- !,
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low(_, ProbUp).
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eval_upper(_Number, ProbUp) :-
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bdd_ptree_map(3, 'bddu.txt', 'bddu.par', 'bddu.map'),
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run_file('bddu.txt', 'bddu.par', NewProbUp),
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(NewProbUp = timeout->
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up(ProbUp);
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ProbUp = NewProbUp,
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retract(up(_)),
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assert(up(ProbUp))).
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/* run_file(BDDFile, BDDParFile, Prob)
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* -----------------------------------
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* This predicate calls for the resolution of a BDD via file.
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*/
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run_file(BDDFile, BDDParFile, Prob) :-
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ResultFile = 'result.txt',
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library_directory(Dir),
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setting(timeout, BDDTime),
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(BDDTime = no ->
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atomic_concat([Dir, '/LPADBDD -l ', BDDFile, ' -i ', BDDParFile,' > ', ResultFile], Command);
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atomic_concat([Dir, '/LPADBDD -l ', BDDFile, ' -i ', BDDParFile,' -t ', BDDTime,' > ', ResultFile], Command)),
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%statistics(walltime,_),
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shell(Command, Return),
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(Return =\= 0 ->
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Status = timeout,
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Prob = Status;
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see(ResultFile),
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read(elapsed_construction(_TimeConstruction)),
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read(probability(Prob)),
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read(elapsed_traversing(_TimeTraversing)),
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seen,
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%write(probability(Prob)),nl,
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%read(_),
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%delete_file(ResultFile),
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Status = ok
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% format("Construction time ~f traversing time ~f~Number",[TimeConstruction, TimeTraversing])
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).
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%statistics(walltime,[_,E3]),
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%format(user,'~w ms BDD processing~Number',[E3]),
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% format("Status ~a~Number",[Status]).
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/* insert_list_ptree([Head|Tail], Trie)
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* ------------------------------------
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* This predicate inserts the given list in a trie.
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*/
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insert_list_ptree([], _Trie).
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insert_list_ptree([Head|Tail], Trie) :-
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reverse(Head, Head1),
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insert_ptree(Head1, Trie),
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insert_list_ptree(Tail, Trie).
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