180 lines
4.2 KiB
Prolog
180 lines
4.2 KiB
Prolog
:- module(lists, [member/2, select/3, append/2, append/3, foldl/4, foldl/5,
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memberchk/2, reverse/2, length/2, maplist/2,
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maplist/3, maplist/4, maplist/5, maplist/6,
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maplist/7, maplist/8, maplist/9, same_length/2,
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sum_list/2, transpose/2, list_to_set/2]).
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:- use_module(library(error)).
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length(Xs, N) :-
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var(N), !,
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'$skip_max_list'(M, -1, Xs, Xs0),
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( Xs0 == [] -> N = M
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; var(Xs0) -> length_addendum(Xs0, N, M)).
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length(Xs, N) :-
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integer(N),
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N >= 0, !,
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'$skip_max_list'(M, N, Xs, Xs0),
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( Xs0 == [] -> N = M
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; var(Xs0) -> R is N-M, length_rundown(Xs0, R)).
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length(_, N) :-
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integer(N), !,
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throw(error(domain_error(not_less_than_zero, N), length/2)).
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length(_, N) :-
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throw(error(type_error(integer, N), length/2)).
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length_addendum([], N, N).
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length_addendum([_|Xs], N, M) :-
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M1 is M + 1,
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length_addendum(Xs, N, M1).
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length_rundown(Xs, 0) :- !, Xs = [].
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length_rundown([_|Xs], N) :-
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N1 is N-1,
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length_rundown(Xs, N1).
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member(X, [X|_]).
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member(X, [_|Xs]) :- member(X, Xs).
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select(X, [X|Xs], Xs).
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select(X, [Y|Xs], [Y|Ys]) :- select(X, Xs, Ys).
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append([], []).
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append([L0|Ls0], Ls) :-
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append(L0, Rest, Ls),
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append(Ls0, Rest).
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append([], R, R).
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append([X|L], R, [X|S]) :- append(L, R, S).
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memberchk(X, Xs) :- member(X, Xs), !.
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reverse(Xs, Ys) :-
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( nonvar(Xs) -> reverse(Xs, Ys, [], Xs)
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; reverse(Ys, Xs, [], Ys)
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).
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reverse([], [], YsRev, YsRev).
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reverse([X1|Xs], [Y1|Ys], YsPreludeRev, Xss) :-
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reverse(Xs, Ys, [Y1|YsPreludeRev], Xss).
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maplist(_, []).
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maplist(Cont1, [E1|E1s]) :-
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call(Cont1, E1),
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maplist(Cont1, E1s).
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maplist(_, [], []).
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maplist(Cont2, [E1|E1s], [E2|E2s]) :-
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call(Cont2, E1, E2),
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maplist(Cont2, E1s, E2s).
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maplist(_, [], [], []).
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maplist(Cont3, [E1|E1s], [E2|E2s], [E3|E3s]) :-
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call(Cont3, E1, E2, E3),
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maplist(Cont3, E1s, E2s, E3s).
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maplist(_, [], [], [], []).
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maplist(Cont, [E1|E1s], [E2|E2s], [E3|E3s], [E4|E4s]) :-
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call(Cont, E1, E2, E3, E4),
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maplist(Cont, E1s, E2s, E3s, E4s).
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maplist(_, [], [], [], [], []).
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maplist(Cont, [E1|E1s], [E2|E2s], [E3|E3s], [E4|E4s], [E5|E5s]) :-
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call(Cont, E1, E2, E3, E4, E5),
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maplist(Cont, E1s, E2s, E3s, E4s, E5s).
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maplist(_, [], [], [], [], [], []).
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maplist(Cont, [E1|E1s], [E2|E2s], [E3|E3s], [E4|E4s], [E5|E5s], [E6|E6s]) :-
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call(Cont, E1, E2, E3, E4, E5, E6),
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maplist(Cont, E1s, E2s, E3s, E4s, E5s, E6s).
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maplist(_, [], [], [], [], [], [], []).
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maplist(Cont, [E1|E1s], [E2|E2s], [E3|E3s], [E4|E4s], [E5|E5s], [E6|E6s], [E7|E7s]) :-
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call(Cont, E1, E2, E3, E4, E5, E6, E7),
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maplist(Cont, E1s, E2s, E3s, E4s, E5s, E6s, E7s).
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maplist(_, [], [], [], [], [], [], [], []).
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maplist(Cont, [E1|E1s], [E2|E2s], [E3|E3s], [E4|E4s], [E5|E5s], [E6|E6s], [E7|E7s], [E8|E8s]) :-
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call(Cont, E1, E2, E3, E4, E5, E6, E7),
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maplist(Cont, E1s, E2s, E3s, E4s, E5s, E6s, E7s, E8s).
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sum_list(Ls, S) :-
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foldl(sum_, Ls, 0, S).
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sum_(L, S0, S) :- S is S0 + L.
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same_length([], []).
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same_length([_|As], [_|Bs]) :-
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same_length(As, Bs).
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foldl(Goal_3, Ls, A0, A) :-
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foldl_(Ls, Goal_3, A0, A).
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foldl_([], _, A, A).
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foldl_([L|Ls], G_3, A0, A) :-
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call(G_3, L, A0, A1),
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foldl_(Ls, G_3, A1, A).
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foldl(Goal_4, Xs, Ys, A0, A) :-
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foldl_(Xs, Ys, Goal_4, A0, A).
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foldl_([], [], _, A, A).
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foldl_([X|Xs], [Y|Ys], G_4, A0, A) :-
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call(G_4, X, Y, A0, A1),
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foldl_(Xs, Ys, G_4, A1, A).
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transpose(Ls, Ts) :-
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lists_transpose(Ls, Ts).
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lists_transpose([], []).
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lists_transpose([L|Ls], Ts) :-
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maplist(same_length(L), Ls),
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foldl(transpose_, L, Ts, [L|Ls], _).
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transpose_(_, Fs, Lists0, Lists) :-
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maplist(list_first_rest, Lists0, Fs, Lists).
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list_first_rest([L|Ls], L, Ls).
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list_to_set(Ls0, Ls) :-
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maplist(with_var, Ls0, LVs0),
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keysort(LVs0, LVs),
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same_elements(LVs),
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pick_firsts(LVs0, Ls).
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pick_firsts([], []).
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pick_firsts([E-V|EVs], Fs0) :-
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( V == visited ->
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Fs0 = Fs
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; V = visited,
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Fs0 = [E|Fs]
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),
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pick_firsts(EVs, Fs).
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with_var(E, E-_).
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same_elements([]).
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same_elements([EV|EVs]) :-
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foldl(unify_same, EVs, EV, _).
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unify_same(E-V, Prev-Var, E-V) :-
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( Prev == E ->
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Var = V
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; true
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).
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