/************************************************************************* * * * YAP Prolog * * * * Yap Prolog was developed at NCCUP - Universidade do Porto * * * * Copyright L.Damas, V.S.Costa and Universidade do Porto 1985-1997 * * * ************************************************************************** * * * File: corout.pl * * Last rev: * * mods: * * comments: Coroutines implementation * * * *************************************************************************/ %:- module(coroutining,[ %dif/2, %when/2, %block/1, %wait/1, %frozen/2 %]). % % operators defined in this module: % :- op(1150, fx, block). % % Tell the system how to present frozen goals. % :- assert((extensions_to_present_answer(Level) :- '$show_frozen_goals'(Level))). '$convert_to_list_of_frozen_goals'(LGs0,LIV,LAV,G,NLG) :- '$sort'(LGs0, LGs), '$purge_done_goals'(LGs, LG), '$clean_list_of_frozen_goals'(LG, ILG), '$project'(G,LIV,LAV,NLG,ILG). '$get_rid_of_vls'((_-G),G). '$get_rid_of_vls'((A,B),(NA,NB)) :- '$get_rid_of_vls'(A,NA), '$get_rid_of_vls'(B,NB). % % wake_up_goal is called by the system whenever a suspended goal % resumes. % /* The first case may happen if this variable was used for dif. In this case, we need a way to keep the original suspended goal around */ %'$wake_up_goal'([Module1|Continuation],G) :- % '$write'(4,vsc_woke:G+[Module1|Continuation]:' %'), fail. '$wake_up_goal'([Module1|Continuation], LG) :- '$execute_woken_system_goals'(LG), '$do_continuation'(Continuation, Module1). % % in the first two cases restore register immediately and proceed % to continuation. In the last case take care with modules, but do % not act as if a meta-call. % % '$do_continuation'('$restore_regs'(X), _) :- !, '$restore_regs'(X). '$do_continuation'('$restore_regs'(X,Y), _) :- !, '$restore_regs'(X,Y). '$do_continuation'(Continuation, Module1) :- '$execute_continuation'(Continuation,Module1). '$execute_continuation'(Continuation, Module1) :- '$undefined'(Continuation, Module1), !, '$undefp'([Module1|Continuation]). '$execute_continuation'(Continuation, Mod) :- % do not do meta-expansion nor any fancy stuff. '$module_number'(Mod,_), '$execute0'(Continuation, Mod). '$execute_woken_system_goals'([]). '$execute_woken_system_goals'([G|LG]) :- '$execute_woken_system_goal'(G, G), '$execute_woken_system_goals'(LG). % % X and Y may not be bound (multiple suspensions on the same goal). % '$execute_woken_system_goal'('$redo_dif'(Done, X, Y), G) :- '$redo_dif'(Done, X, Y, G). % % X surely was bound, otherwise we would not be awaken. % '$execute_woken_system_goal'('$redo_freeze'(Done, _, Goal), _) :- '$redo_freeze'(Done, Goal). '$execute_woken_system_goal'('$redo_eq'(Done, X, Y, Goal), G) :- '$redo_eq'(Done, X, Y, Goal, G). '$execute_woken_system_goal'('$redo_ground'(Done, X, Goal), _) :- '$redo_ground'(Done, X, Goal). '$execute_woken_system_goal'('$att_do'(V,New), _) :- attributes:woken_att_do(V,New). freeze(V, G) :- var(V), !, '$freeze_goal'(V,G). freeze(_, G) :- '$execute'(G). '$freeze_goal'(V,VG) :- var(VG), !, '$current_module'(M), '$freeze'(V, '$redo_freeze'(_Done,V,M:VG)). '$freeze_goal'(V,M:G) :- !, '$freeze'(V, '$redo_freeze'(_Done,V,M:G)). '$freeze_goal'(V,G) :- '$current_module'(M), '$freeze'(V, '$redo_freeze'(_Done,V,M:G)). % % % Dif is tricky because we need to wake up on the two variables being % bound together, or on any variable of the term being bound to % another. Also, the day YAP fully supports infinite rational trees, % dif should work for them too. Hence, term comparison should not be % implemented in Prolog. % % This is the way dif works. The '$can_unify' predicate does not know % anything about dif semantics, it just compares two terms for % equaility and is based on compare. If it succeeds without generating % a list of variables, the terms are equal and dif fails. If it fails, % dif succeeds. % % If it succeeds but it creates a list of variables, dif creates % suspension records for all these variables on the '$redo_dif'(V, % X, Y) goal. V is a flag that says whether dif has completed or not, % X and Y are the original goals. Whenever one of these variables is % bound, it calls '$redo_dif' again. '$redo_dif' will then check whether V % was bound. If it was, dif has succeeded and redo_dif just % exits. Otherwise, '$redo_dif' will call dif again to see what happened. % % Dif needs two extensions from the suspension engine: % % First, it needs % for the engine to be careful when binding two suspended % variables. Basically, in this case the engine must be sure to wake % up one of the goals, as they may make dif fail. The way the engine % does so is by searching the list of suspended variables, and search % whether they share a common suspended goal. If they do, that % suspended goal is added to the WokenList. % % Second, thanks to dif we may try to suspend on the same variable % several times. dif calls a special version of freeze that checks % whether that is in fact the case. % dif(X, Y) :- '$can_unify'(X, Y, LVars), !, LVars = [_|_], '$dif_suspend_on_lvars'(LVars, '$redo_dif'(_Done, X, Y)). dif(_, _). '$dif_suspend_on_lvars'([], _). '$dif_suspend_on_lvars'([H|T], G) :- '$freeze'(H, G), '$dif_suspend_on_lvars'(T, G). % % This predicate is called whenever a variable dif was suspended on is % bound. Note that dif may have already executed successfully. % % Three possible cases: dif has executed and Done is bound; we redo % dif and the two terms either unify, hence we fail, or may unify, and % we try to increase the number of suspensions; last, the two terms % did not unify, we are done, so we succeed and bind the Done variable. % '$redo_dif'(Done, _, _, _) :- nonvar(Done), !. '$redo_dif'(_, X, Y, G) :- '$can_unify'(X, Y, LVars), !, LVars = [_|_], '$dif_suspend_on_lvars'(LVars, G). '$redo_dif'('$done', _, _, _). % If you called nonvar as condition for when, then you may find yourself % here. % % someone else (that is Cond had ;) did the work, do nothing % '$redo_freeze'(Done, _) :- nonvar(Done), !. % % We still have some more conditions: continue the analysis. % '$redo_freeze'(Done, '$when'(C, G, Done)) :- !, '$when'(C, G, Done). % % I can't believe it: we're done and can actually execute our % goal. Notice we have to say we are done, otherwise someone else in % the disjunction might decide to wake up the goal themselves. % '$redo_freeze'('$done', G) :- '$execute'(G). % % eq is a combination of dif and freeze '$redo_eq'(Done, _, _, _, _) :- nonvar(Done), !. '$redo_eq'(_, X, Y, _, G) :- '$can_unify'(X, Y, LVars), LVars = [_|_], !, '$dif_suspend_on_lvars'(LVars, G). '$redo_eq'(Done, _, _, '$when'(C, G, Done), _) :- !, '$when'(C, G, Done). '$redo_eq'('$done', _ ,_ , Goal, _) :- '$execute'(Goal). % % ground is similar to freeze '$redo_ground'(Done, _, _) :- nonvar(Done), !. '$redo_ground'(Done, X, Goal) :- '$non_ground'(X, Var), !, '$freeze'(Var, '$redo_ground'(Done, X, Goal)). '$redo_ground'(Done, _, '$when'(C, G, Done)) :- !, '$when'(C, G, Done). '$redo_ground'('$done', _, Goal) :- '$execute'(Goal). % % support for when/2 built-in % when(Conds,Goal) :- '$current_module'(Mod), '$prepare_goal_for_when'(Goal, Mod, ModG), '$when'(Conds, ModG, Done, [], LG), !, %write(vsc:freezing(LG,Done)),nl, '$suspend_when_goals'(LG, Done). when(_,Goal) :- '$execute'(Goal). % % support for when/2 like declaration. % % % when will block on a conjunction or disjunction of nonvar, ground, % ?=, where ?= is both terms being bound together % % '$declare_when'(Cond, G) :- '$generate_code_for_when'(Cond, G, Code), '$current_module'(Module), '$$compile'(Code, Code, 5, Module), fail. '$declare_when'(_,_). % % use a meta interpreter for now % '$generate_code_for_when'(Conds, G, ( G :- '$when'(Conds, ModG, Done, [], LG), !, '$suspend_when_goals'(LG, Done)) ) :- '$current_module'(Mod), '$prepare_goal_for_when'(G, Mod, ModG). % % make sure we have module info for G! % '$prepare_goal_for_when'(G, Mod, Mod:call(G)) :- var(G), !. '$prepare_goal_for_when'(M:G, _, M:G) :- !. '$prepare_goal_for_when'(G, Mod, Mod:G). % % now for the important bit % % Done is used to synchronise: when it is bound someone else did the % goal and we can give up. % % $when/5 and $when_suspend succeds when there is need to suspend a goal % % '$when'(nonvar(V), G, Done, LG0, LGF) :- '$when_suspend'(nonvar(V), G, Done, LG0, LGF). '$when'(?=(X,Y), G, Done, LG0, LGF) :- '$when_suspend'(?=(X,Y), G, Done, LG0, LGF). '$when'(ground(T), G, Done, LG0, LGF) :- '$when_suspend'(ground(T), G, Done, LG0, LGF). '$when'((C1, C2), G, Done, LG0, LGF) :- % leave it open to continue with when. ( '$when'(C1, '$when'(C2, G, Done), Done, LG0, LGI) -> LGI = LGF ; % we solved C1, great, now we just have to solve C2! '$when'(C2, G, Done, LG0, LGF) ). '$when'((G1 ; G2), G, Done, LG0, LGF) :- '$when'(G1, G, Done, LG0, LGI), '$when'(G2, G, Done, LGI, LGF). % % Auxiliary predicate called from within a conjunction. % Repeat basic code for when, as inserted in first clause for predicate. % '$when'(_, _, Done) :- nonvar(Done), !. '$when'(Cond, G, Done) :- '$when'(Cond, G, Done, [], LG), !, '$suspend_when_goals'(LG, Done). '$when'(_, G, '$done') :- '$execute'(G). % % Do something depending on the condition! % % some one else did the work. % '$when_suspend'(_, _, Done, _, []) :- nonvar(Done), !. % % now for the serious stuff. % '$when_suspend'(nonvar(V), G, Done, LG0, LGF) :- '$try_freeze'(V, G, Done, LG0, LGF). '$when_suspend'(?=(X,Y), G, Done, LG0, LGF) :- '$try_eq'(X, Y, G, Done, LG0, LGF). '$when_suspend'(ground(X), G, Done, LG0, LGF) :- '$try_ground'(X, G, Done, LG0, LGF). '$try_freeze'(V, G, Done, LG0, LGF) :- var(V), LGF = ['$freeze'(V, '$redo_freeze'(Done, V, G))|LG0]. '$try_eq'(X, Y, G, Done, LG0, LGF) :- '$can_unify'(X, Y, LVars), LVars = [_|_], LGF = ['$dif_suspend_on_lvars'(LVars, '$redo_eq'(Done, X, Y, G))|LG0]. '$try_ground'(X, G, Done, LG0, LGF) :- '$non_ground'(X, Var), % the C predicate that succeds if % finding out the term is nonground % and gives the first variable it % finds. Notice that this predicate % must know about svars. LGF = ['$freeze'(Var, '$redo_ground'(Done, X, G))| LG0]. % % When executing a when, if nobody succeeded, we need to create suspensions. % '$suspend_when_goals'([], _). '$suspend_when_goals'(['$freeze'(V, G)|Ls], Done) :- var(Done), !, '$freeze'(V, G), '$suspend_when_goals'(Ls, Done). '$suspend_when_goals'(['$dif_suspend_on_lvars'(LVars, G)|LG], Done) :- var(Done), !, '$dif_suspend_on_lvars'(LVars, G), '$suspend_when_goals'(LG, Done). '$suspend_when_goals'([_|_], _). % % Support for wait declarations on goals. % Or we also use the more powerful, SICStus like, "block" declarations. % % block or wait declarations must precede the first clause. % % % I am using the simplest solution now: I'll add an extra clause at % the beginning of the procedure to do this work. This creates a % choicepoint and make things a bit slower, but it's probably not as % significant as the remaining overheads. % '$block'(Conds) :- '$generate_blocking_code'(Conds, _, Code), '$current_module'(Module), '$$compile'(Code, Code, 5, Module), fail. '$block'(_). '$generate_blocking_code'(Conds, G, Code) :- '$extract_head_for_block'(Conds, G), '$recorded'('$blocking_code','$code'(G,OldConds),R), !, erase(R), functor(G, Na, Ar), '$current_module'(M), abolish(M:Na, Ar), '$generate_blocking_code'((Conds,OldConds), G, Code). '$generate_blocking_code'(Conds, G, (G :- (If, !, when(When, G)))) :- '$extract_head_for_block'(Conds, G), '$recorda'('$blocking_code','$code'(G,Conds),_), '$generate_body_for_block'(Conds, G, If, When). % % find out what we are blocking on. % '$extract_head_for_block'((C1, _), G) :- !, '$extract_head_for_block'(C1, G). '$extract_head_for_block'(C, G) :- functor(C, Na, Ar), functor(G, Na, Ar). % % If we suspend on the conditions, we should continue % execution. If we don't suspend we should fail so that we can take % the next clause. To % know what we have to do we just test how many variables we suspended % on ;-). % % % We generate code as follows: % % block a(-,-,?) % % (var(A1), var(A2) -> true ; fail), !, when((nonvar(A1);nonvar(A2)),G). % % block a(-,-,?), a(?,-, -) % % (var(A1), var(A2) -> true ; (var(A2), var(A3) -> true ; fail)), !, % when(((nonvar(A1);nonvar(A2)),(nonvar(A2);nonvar(A3))),G). '$generate_body_for_block'((C1, C2), G, (Code1 -> true ; Code2), (WhenConds,OtherWhenConds)) :- !, '$generate_for_cond_in_block'(C1, G, Code1, WhenConds), '$generate_body_for_block'(C2, G, Code2, OtherWhenConds). '$generate_body_for_block'(C, G, (Code -> true ; fail), WhenConds) :- '$generate_for_cond_in_block'(C, G, Code, WhenConds). '$generate_for_cond_in_block'(C, G, Code, Whens) :- C =.. [_|Args], G =.. [_|GArgs], '$fetch_out_variables_for_block'(Args,GArgs,L0Vars), '$add_blocking_vars'(L0Vars, LVars), '$generate_for_each_arg_in_block'(LVars, Code, Whens). '$add_blocking_vars'([], [_]) :- !. '$add_blocking_vars'(LV, LV). '$fetch_out_variables_for_block'([], [], []). '$fetch_out_variables_for_block'(['?'|Args], [_|GArgs], LV) :- '$fetch_out_variables_for_block'(Args, GArgs, LV). '$fetch_out_variables_for_block'(['-'|Args], [GArg|GArgs], [GArg|LV]) :- '$fetch_out_variables_for_block'(Args, GArgs, LV). '$generate_for_each_arg_in_block'([], false, true). '$generate_for_each_arg_in_block'([V], var(V), nonvar(V)) :- !. '$generate_for_each_arg_in_block'([V|L], (var(V),If), (nonvar(V);Whens)) :- '$generate_for_each_arg_in_block'(L, If, Whens). % % The wait declaration is a simpler and more efficient version of block. % '$wait'(Na/Ar) :- functor(S, Na, Ar), arg(1, S, A), '$current_module'(M), '$$compile'((S :- var(A), !, freeze(A, S)), (S :- var(A), !, freeze(A, S)), 5, M), fail. '$wait'(_). frozen(V, G) :- nonvar(V), !, G = true. frozen(V, LG) :- '$frozen_goals'(V, LGs), '$find_att_vars'(LGs, AttVars), '$convert_to_list_of_frozen_goals'(LGs,[V],AttVars,V,G), '$simplify_list_of_frozen_goals'(G,LG). %write(vsc:G0), nl, % '$purge_done_goals'(G0, GI), % '$sort'(GI, GII), %write(vsc:GII), nl, % '$convert_list_of_frozen_goals'(GII, G). '$simplify_list_of_frozen_goals'([],[]). '$simplify_list_of_frozen_goals'([(_-G)|Gs],[G|NGs]) :- '$simplify_list_of_frozen_goals'(Gs,NGs). '$find_att_vars'([], []). '$find_att_vars'([V|LGs], [V|AttVars]) :- '$is_att_variable'(V), !, '$find_att_vars'(LGs, AttVars). '$find_att_vars'([_|LGs], AttVars) :- '$find_att_vars'(LGs, AttVars). '$purge_done_goals'([], []). '$purge_done_goals'([V|G0], GF) :- '$is_att_variable'(V), !, '$purge_done_goals'(G0, GF). '$purge_done_goals'(['$redo_dif'(Done, _ , _)|G0], GF) :- nonvar(Done), !, '$purge_done_goals'(G0, GF). '$purge_done_goals'(['$redo_freeze'(Done, _, _)|G0], GF) :- nonvar(Done), !, '$purge_done_goals'(G0, GF). '$purge_done_goals'(['$redo_eq'(Done, _, _, _)|G0], GF) :- nonvar(Done), !, '$purge_done_goals'(G0, GF). '$purge_done_goals'(['$redo_ground'(Done, _, _)|G0], GF) :- nonvar(Done), !, '$purge_done_goals'(G0, GF). '$purge_done_goals'([G|G0], [G|GF]) :- '$purge_done_goals'(G0, GF). '$clean_list_of_frozen_goals'([], []). '$clean_list_of_frozen_goals'([A|B], G) :- '$convert_list_of_frozen_goals_into_list'([A|B], G). '$convert_list_of_frozen_goals_into_list'([A], [LV-G]) :- !, '$convert_frozen_goal'(A, [], _, LV0, G0), '$clean_bound_args'(LV0, LV1), '$sort'(LV1, LV), '$process_when'(G0, G). '$convert_list_of_frozen_goals_into_list'([A|L], OUT) :- !, '$convert_frozen_goal'(A, LV, Done, NA, G0), '$process_when'(G0, Gf), '$fetch_same_done_goals'(L, Done, LV, NL), '$clean_bound_args'(NA, NA1), '$sort'(NA1, LVf), ( NL = [] -> OUT = [LVf-Gf]; OUT = [(LVf-Gf)|Gs], '$convert_list_of_frozen_goals_into_list'(NL, Gs)). '$clean_bound_args'([], []). '$clean_bound_args'([NV|L], NL) :- nonvar(NV), !, '$clean_bound_args'(L,NL). '$clean_bound_args'([V|L], [V|NL]) :- '$clean_bound_args'(L,NL). '$process_when'('$when'(_,G,_), NG) :- !, '$process_when'(G, NG). '$process_when'(G, G). '$convert_frozen_goal'(V, _, _, V, _) :- '$is_att_variable'(V), !. '$convert_frozen_goal'('$redo_dif'(Done, X, Y), LV, Done, [X,Y|LV], dif(X,Y)). '$convert_frozen_goal'('$redo_freeze'(Done, FV, G), LV, Done, [FV|LV], G). '$convert_frozen_goal'('$redo_eq'(Done, X, Y, G), LV, Done, [X,Y|LV], G). '$convert_frozen_goal'('$redo_ground'(Done, V, G), LV, Done, [V|LV], G). '$fetch_same_done_goals'([], _, [], []). '$fetch_same_done_goals'([V|G0], Done, NL, GF) :- '$is_att_variable'(V), !, '$fetch_same_done_goals'(G0, Done, NL, GF). '$fetch_same_done_goals'(['$redo_dif'(Done, X , Y)|G0], D0, [X,Y|LV], GF) :- Done == D0, !, '$fetch_same_done_goals'(G0, D0, LV, GF). '$fetch_same_done_goals'(['$redo_freeze'(Done, V, _)|G0], D0, [V|LV], GF) :- Done == D0, !, '$fetch_same_done_goals'(G0, D0, LV, GF). '$fetch_same_done_goals'(['$redo_eq'(Done, X, Y, _)|G0], D0, [X,Y|LV], GF) :- Done == D0, !, '$fetch_same_done_goals'(G0, D0, LV, GF). '$fetch_same_done_goals'(['$redo_ground'(Done, G, _)|G0], D0, [G|LV], GF) :- Done == D0, !, '$fetch_same_done_goals'(G0, D0, LV, GF). '$fetch_same_done_goals'([G|G0], D0, LV, [G|GF]) :- '$fetch_same_done_goals'(G0, D0, LV, GF). call_residue(Goal,Residue) :- '$read_svar_list'(OldList,OldAttsList), '$copy_term_but_not_constraints'(Goal, NGoal), ( create_mutable([], CurrentList), create_mutable([], CurrentAttsList), '$set_svar_list'(CurrentList, CurrentAttsList), '$execute'(NGoal), '$call_residue_continuation'(NGoal,NResidue), ( '$set_svar_list'(OldList,OldAttsList), '$copy_term_but_not_constraints'(NGoal+NResidue, Goal+Residue) ; '$set_svar_list'(CurrentList,CurrentAttsList), fail ) ; '$set_svar_list'(OldList,OldAttsList), fail ). % % goal needs to be in a different procedure to catch suspended goals. % '$call_residue_continuation'(Goal,Residue) :- '$variables_in_term'(Goal,[],LIV), '$show_frozen'(Goal,LIV,Residue). '$purge_and_set_done_goals'([], L, L). '$purge_and_set_done_goals'([AttV|G0], [_-GS|GF], Atts) :- '$is_att_variable'(AttV), !, attributes:convert_att_var(AttV, GS), '$purge_and_set_done_goals'(G0, GF, Atts). '$purge_and_set_done_goals'(['$redo_dif'(Done, X , Y)|G0], [LVars-dif(X,Y)|GF], Atts) :- var(Done), !, Done = '$done', '$can_unify'(X, Y, LVars), '$purge_and_set_done_goals'(G0, GF, Atts). '$purge_and_set_done_goals'(['$redo_freeze'(Done, V, G)|G0], [[V]-freeze(G)|GF], Atts) :- var(Done), !, Done = '$done', '$purge_and_set_done_goals'(G0, GF, Atts). '$purge_and_set_done_goals'(['$redo_eq'(Done, X, Y, G)|G0], [[X,Y]-G|GF], Atts) :- var(Done), !, Done = '$done', '$purge_and_set_done_goals'(G0, GF, Atts). '$purge_and_set_done_goals'(['$redo_ground'(Done, X, G)|G0], [[X]-G|GF], Atts) :- var(Done), !, Done = '$done', '$purge_and_set_done_goals'(G0, GF, Atts). '$purge_and_set_done_goals'([_|G0], GF, Atts) :- '$purge_and_set_done_goals'(G0, GF, Atts). '$project'(true,_,_,Gs,Gs) :- !. '$project'(_,_,_,Gs,Gs) :- '$undefined'(modules_with_attributes(_), attributes), !. '$project'(_,LIV,LAV,Gs,Gs0) :- attributes:modules_with_attributes(LMods), (LAV = [] -> Gs = Gs0 ; '$pick_vars_for_project'(LIV,NLIV), '$project_module'(LMods,NLIV,LAV), attributes:all_attvars(NLAV0), '$sort'(NLAV0, NLAV), '$convert_att_vars'(NLAV, LIV, Gs, Gs0) ). '$pick_vars_for_project'([],[]). '$pick_vars_for_project'([V|L],[V|NL]) :- var(V), !, '$pick_vars_for_project'(L,NL). '$pick_vars_for_project'([_|L],NL) :- '$pick_vars_for_project'(L,NL). '$project_module'([], _, _). '$project_module'([Mod|LMods], LIV, LAV) :- \+ '$undefined'(project_attributes(LIV, LAV), Mod), '$execute'(Mod:project_attributes(LIV, LAV)), !, attributes:all_attvars(NLAV), '$project_module'(LMods,LIV,NLAV). '$project_module'([_|LMods], LIV, LAV) :- '$project_module'(LMods,LIV,LAV). '$convert_att_vars'([], _, L, L). '$convert_att_vars'([V|LAV], LIV, NGs, NGs0) :- var(V), attributes:convert_att_var(V, G), G \= true, % '$variables_in_term'(G,[],GV0), % I'm allowing goals without variables to go through % '$sort'(GV0,GV), % ( GV0 = [] -> true ; % '$sort'(LIV,NLIV), % notice that ordering changes as we introduce constraints % '$vars_interset_for_constr'(GV,NLIV) ), !, !, '$split_goals_for_catv'(G,V,NGs,IGs), '$convert_att_vars'(LAV, LIV, IGs, NGs0). '$convert_att_vars'([_|LAV], LIV, Gs, NGs0) :- '$convert_att_vars'(LAV, LIV, Gs, NGs0). '$split_goals_for_catv'((G,NG),V,Gs,Gs0) :- !, '$split_goals_for_catv'(NG,V,Gs,[V-G|Gs0]). '$split_goals_for_catv'(NG,V,[V-NG|Gs],Gs). '$vars_interset_for_constr'([V1|_],[V2|_]) :- V1 == V2, !. '$vars_interset_for_constr'([V1|GV],[V2|LIV]) :- V1 @< V2, !, '$vars_interset_for_constr'(GV,[V2|LIV]). '$vars_interset_for_constr'([V1|GV],[_|LIV]) :- '$vars_interset_for_constr'([V1|GV],LIV).