exprs_singlevars([], []).
exprs_singlevars([E|Es], [SV|SVs]) :-
E =.. [F,Expr],
- ?(Single) #= Expr,
+ #Single #= Expr,
SV =.. [F,Single],
exprs_singlevars(Es, SVs).
sum([], _, Sum, Op, Value) :- call(Op, Sum, Value).
sum([C|Cs], [X|Xs], Acc, Op, Value) :-
- ?(NAcc) #= Acc + C* ?(X),
+ #NAcc #= Acc + C* #X,
sum(Cs, Xs, NAcc, Op, Value).
multiples([], [], _).
( N =\= 1, gcd(C,N) =:= 1 ->
gcd(Cs, N, GCD0),
gcd(Left, GCD0, GCD),
- ( GCD > 1 -> ?(V) #= GCD * ?(_)
+ ( GCD > 1 -> #V #= GCD * #_
; true
)
; true
m(A*B) => [p(ptimes(A, B, R))],
m(A-B) => [p(pplus(R,B,A))],
m(-A) => [p(ptimes(-1,A,R))],
- m(max(A,B)) => [g(A #=< ?(R)), g(B #=< R), p(pmax(A, B, R))],
- m(min(A,B)) => [g(A #>= ?(R)), g(B #>= R), p(pmin(A, B, R))],
+ m(max(A,B)) => [g(A #=< #R), g(B #=< R), p(pmax(A, B, R))],
+ m(min(A,B)) => [g(A #>= #R), g(B #>= R), p(pmin(A, B, R))],
m(A mod B) => [g(B #\= 0), p(pmod(A, B, R))],
m(A rem B) => [g(B #\= 0), p(prem(A, B, R))],
- m(abs(A)) => [g(?(R) #>= 0), p(pabs(A, R))],
+ m(abs(A)) => [g(#R #>= 0), p(pabs(A, R))],
m(A/B) => [g(B #\= 0), p(prdiv(A, B, R))],
m(A//B) => [g(B #\= 0), p(ptzdiv(A, B, R))],
- m(A div B) => [g(?(R) #= (A - (A mod B)) // B)],
+ m(A div B) => [g(#R #= (A - (A mod B)) // B)],
m(A^B) => [p(pexp(A, B, R))],
m(sign(A)) => [g(R in -1..1), p(psign(A, R))],
% bitwise operations
m_c(any(X) #>= any(Y), left_right_linsum_const(X, Y, Cs, Vs, Const)) =>
[g(( Cs = [1], Vs = [A] -> geq(A, Const)
; Cs = [-1], Vs = [A] -> Const1 is -Const, geq(Const1, A)
- ; Cs = [1,1], Vs = [A,B] -> ?(A) + ?(B) #= ?(S), geq(S, Const)
+ ; Cs = [1,1], Vs = [A,B] -> #A + #B #= #S, geq(S, Const)
; Cs = [1,-1], Vs = [A,B] ->
( Const =:= 0 -> geq(A, B)
; C1 is -Const,
propagator_init_trigger(x_leq_y_plus_c(A, B, C1))
)
; Cs = [-1,-1], Vs = [A,B] ->
- ?(A) + ?(B) #= ?(S), Const1 is -Const, geq(Const1, S)
+ #A + #B #= #S, Const1 is -Const, geq(Const1, S)
; scalar_product_(#>=, Cs, Vs, Const)
))],
m(any(X) - any(Y) #>= integer(C)) => [d(X, X1), d(Y, Y1), g(C1 is -C), p(x_leq_y_plus_c(Y1, X1, C1))],
m(integer(X) #>= any(Z) + integer(A)) => [g(C is X - A), r(C, Z)],
m(abs(any(X)-any(Y)) #>= any(Z)) =>
- [d(X, X1), d(Y, Y1), d(Z, Z1), g((abs(?(A))#= ?(B),Y1+A#=X1,Z1#=<B))],
+ [d(X, X1), d(Y, Y1), d(Z, Z1), g((abs(#A)#= #B,Y1+A#=X1,Z1#=<B))],
m(abs(any(X)) #>= integer(I)) => [d(X, RX), g((I>0 -> I1 is -I, RX in inf..I1 \/ I..sup; true))],
m(integer(I) #>= abs(any(X))) => [d(X, RX), g(I>=0), g(I1 is -I), g(RX in I1..I)],
m(any(X) #>= any(Y)) => [d(X, RX), d(Y, RY), g(geq(RX, RY))],
m(-A) => [d(D), p(ptimes(-1,A,R)), a(R)],
m(max(A,B)) => [d(D), p(pgeq(R, A)), p(pgeq(R, B)), p(pmax(A,B,R)), a(A,B,R)],
m(min(A,B)) => [d(D), p(pgeq(A, R)), p(pgeq(B, R)), p(pmin(A,B,R)), a(A,B,R)],
- m(abs(A)) => [g(?(R)#>=0), d(D), p(pabs(A, R)), a(A,R)],
+ m(abs(A)) => [g(#R#>=0), d(D), p(pabs(A, R)), a(A,R)],
m(A/B) => [p(preified_slash(A,B,D,R)), a(A,B,R)],
m(A//B) => [skeleton(A,B,D,R,ptzdiv)],
m(A div B) => [skeleton(A,B,D,R,pdiv)],
{ maplist(relation_tuple_b_prop(Relation), Tuples, Bs, Ps),
maplist(monotonic, Bs, Bs1),
fold_statement(conjunction, Bs1, And),
- ?(B) #<==> And },
+ #B #<==> And },
propagator_init_trigger([B], tuples_not_in(Tuples, Relation, B)),
kill_reified_tuples(Bs, Ps, Bs),
list(Ps),
disjunction(E, Disj, Disj #\/ E).
-var_eq(V, N, ?(V) #= N).
+var_eq(V, N, #V #= N).
% Match variables to created skeleton.
lex_le([], []).
lex_le([V1|V1s], [V2|V2s]) :-
- ?(V1) #=< ?(V2),
+ #V1 #=< #V2,
( integer(V1) ->
( integer(V2) ->
( V1 =:= V2 -> lex_le(V1s, V2s) ; true )
element_([], _, _, _).
element_([I|Is], N0, N, V) :-
- ?(I) #\= ?(V) #==> ?(N) #\= N0,
+ #I #\= #V #==> #N #\= N0,
N1 is N0 + 1,
element_(Is, N1, N, V).
fully_elastic_relaxation(Tasks, Limit) :-
maplist(task_duration_consumption, Tasks, Ds, Cs),
maplist(area, Ds, Cs, As),
- sum(As, #=, ?(Area)),
- ?(MinTime) #= (Area + Limit - 1) // Limit,
+ sum(As, #=, #Area),
+ #MinTime #= (Area + Limit - 1) // Limit,
tasks_minstart_maxend(Tasks, MinStart, MaxEnd),
MaxEnd #>= MinStart + MinTime.
task_duration_consumption(task(_,D,_,C,_), D, C).
-area(X, Y, Area) :- ?(Area) #= ?(X) * ?(Y).
+area(X, Y, Area) :- #Area #= #X * #Y.
tasks_minstart_maxend(Tasks, Start, End) :-
maplist(task_start_end, Tasks, [Start0|Starts], [End0|Ends]),
foldl(min_, Starts, Start0, Start),
foldl(max_, Ends, End0, End).
-max_(E, M0, M) :- ?(M) #= max(E, M0).
+max_(E, M0, M) :- #M #= max(E, M0).
-min_(E, M0, M) :- ?(M) #= min(E, M0).
+min_(E, M0, M) :- #M #= min(E, M0).
-task_start_end(task(Start,_,End,_,_), ?(Start), ?(End)).
+task_start_end(task(Start,_,End,_,_), #Start, #End).
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
All time slots must respect the resource limit.
task_bs(Task, InfStart-Bs) :-
Task = task(Start,D,End,_,_Id),
- ?(D) #> 0,
- ?(End) #= ?(Start) + ?(D),
+ #D #> 0,
+ #End #= #Start + #D,
maplist(finite_domain, [End,Start,D]),
fd_inf(Start, InfStart),
fd_sup(End, SupEnd),
task_running([], _, _, _).
task_running([B|Bs], Start, End, T) :-
- ((T #>= Start) #/\ (T #< End)) #<==> ?(B),
+ ((T #>= Start) #/\ (T #< End)) #<==> #B,
T1 is T + 1,
task_running(Bs, Start, End, T1).
contribution_at(T, Task, Offset-Bs, Contribution) :-
Task = task(Start,_,End,C,_),
- ?(C) #>= 0,
+ #C #>= 0,
fd_inf(Start, InfStart),
fd_sup(End, SupEnd),
( T < InfStart -> Contribution = 0
; T >= SupEnd -> Contribution = 0
; Index is T - Offset,
nth0(Index, Bs, B),
- ?(Contribution) #= B*C
+ #Contribution #= B*C
).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
a_not_in_b(B, A).
a_not_in_b([_,AX,AW,AY,AH], [_,BX,BW,BY,BH]) :-
- ?(AX) #=< ?(BX) #/\ ?(BX) #< ?(AX) + ?(AW) #==>
- ?(AY) + ?(AH) #=< ?(BY) #\/ ?(BY) + ?(BH) #=< ?(AY),
- ?(AY) #=< ?(BY) #/\ ?(BY) #< ?(AY) + ?(AH) #==>
- ?(AX) + ?(AW) #=< ?(BX) #\/ ?(BX) + ?(BW) #=< ?(AX).
+ #AX #=< #BX #/\ #BX #< #AX + #AW #==>
+ #AY + #AH #=< #BY #\/ #BY + #BH #=< #AY,
+ #AY #=< #BY #/\ #BY #< #AY + #AH #==>
+ #AX + #AW #=< #BX #\/ #BX + #BW #=< #AX.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{ term_variables(E0, EVs0),
copy_term(E0, E),
term_variables(E, EVs),
- ?(V) #= E },
+ #V #= E },
match_variables(EVs0, EVs),
exprs_values(Es, Vs).
sink(sink(_)).
-monotonic(Var, ?(Var)).
+monotonic(Var, #Var).
arc_normalized(Cs, Arc0, Arc) :- arc_normalized_(Arc0, Cs, Arc).
propagator_init_trigger([A,B], pzcompare(Order, A, B))
).
-zcompare_(=, A, B) :- ?(A) #= ?(B).
-zcompare_(<, A, B) :- ?(A) #< ?(B).
-zcompare_(>, A, B) :- ?(A) #> ?(B).
+zcompare_(=, A, B) :- #A #= #B.
+zcompare_(<, A, B) :- #A #< #B.
+zcompare_(>, A, B) :- #A #> #B.
%% chain(+Relation, +Zs)
%
chain_relation(#>).
chain_relation(#>=).
-chain(Relation, X, Prev, X) :- call(Relation, ?(Prev), ?(X)).
+chain(Relation, X, Prev, X) :- call(Relation, #Prev, #X).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -