From c5fcf7179a83ef65c86c6a4a390029149e518649 Mon Sep 17 00:00:00 2001 From: Franciszek Malinka Date: Tue, 5 Oct 2021 21:49:54 +0200 Subject: Duzy commit ze smieciami --- Semestr 3/pf/lista7/Perm.ml | 114 -------------------------------------------- 1 file changed, 114 deletions(-) delete mode 100644 Semestr 3/pf/lista7/Perm.ml (limited to 'Semestr 3/pf/lista7/Perm.ml') diff --git a/Semestr 3/pf/lista7/Perm.ml b/Semestr 3/pf/lista7/Perm.ml deleted file mode 100644 index 1b19bac..0000000 --- a/Semestr 3/pf/lista7/Perm.ml +++ /dev/null @@ -1,114 +0,0 @@ -module type OrderedType = sig - type t - val compare : t -> t -> int -end - -module type S = sig - type key - type t - (** permutacja jako funkcja *) - val apply : t -> key -> key - (** permutacja identycznościowa *) - val id : t - (** permutacja odwrotna *) - val invert : t -> t - (** permutacja która tylko zamienia dwa elementy miejscami *) - val swap : key -> key -> t - (** złożenie permutacji (jako złożenie funkcji) *) - val compose : t -> t -> t - (** porównywanie permutacji *) - val compare : t -> t -> int -end - -module Make(Key : OrderedType) : (S with type key = Key.t) = -struct - type key = Key.t - module MapModule = Map.Make(Key) - type t = key MapModule.t * key MapModule.t - let apply ((map, invmap) : t) k = - try (MapModule.find k map) with - | Not_found -> k - let id : t = (MapModule.empty, MapModule.empty) - let invert ((map, invmap) : t) : t = - (invmap, map) - let swap k1 k2 : t = - let (map, invmap) = id in - (MapModule.add k2 k1 (MapModule.add k1 k2 map), MapModule.add k2 k1 (MapModule.add k1 k2 invmap)) - let compose ((map1, invmap1) : t) ((map2, invmap2) : t) : t = - let f map x m1_of_x m2_of_x = match m1_of_x with - | None -> m2_of_x - | Some y -> match MapModule.find_opt y map with - | None -> Some y - | Some z -> Some z - in (MapModule.merge (f map2) map1 map2, - MapModule.merge (f invmap1) invmap2 invmap1) - let compare ((map1, invmap1) : t) ((map2, invmap2): t) = - MapModule.compare Key.compare map1 map2 -end - -module StringOrder: (OrderedType with type t = string) = -struct - type t = string - let compare s1 s2 = if s1 < s2 then -1 else if s1 > s2 then 1 else 0 -end - -module StringPerm = Make(StringOrder) -let p = StringPerm.compose (StringPerm.swap "1" "2") (StringPerm.swap "2" "3");; - -(* Zadanie 2 *) - -let is_generated (type a) (packed : (module S with type t = a)) (perm : a) (generators : (a list)) = - let module PermModule = (val packed : (S with type t = a)) in - let module OrderedPerm : (OrderedType with type t = a) = - struct - type t = a - let compare p1 p2 = PermModule.compare p1 p2 - end in - let module SS = Set.Make(OrderedPerm) in - let rec flatmap f = function - | [] -> [] - | x :: xs -> (f x) @ flatmap f xs in - let saturate xn = - let perms = SS.elements xn in - let inverts = List.map (fun p -> PermModule.invert p) perms in - let compositions = flatmap (fun p -> (List.map (fun q -> PermModule.compose p q) perms)) perms in - SS.union xn (SS.union (SS.of_list inverts) (SS.of_list compositions)) in - let rec iter xn = - let xn1 = saturate xn in - if SS.mem perm xn1 then true else - if SS.compare xn xn1 == 0 then false else - iter xn1 - in iter (SS.of_list generators) - -(* Zadanie 3 *) - -module OrderedList (X : OrderedType) : (OrderedType with type t = X.t list) = -struct - type t = X.t list - let rec compare (xs: t) (ys: t) = - match (xs, ys) with - | ([], []) -> 0 - | ([], _) -> -1 - | (_, []) -> 1 - | (x :: xs, y :: ys) -> let cmp = X.compare x y in - if cmp == 0 then compare xs ys else cmp -end - -module OrderedPair (X : OrderedType) : (OrderedType with type t = X.t * X.t) = -struct - type t = X.t * X.t - let compare ((a, b): t) ((c, d) : t) = - let cmp = X.compare a c in - if cmp == 0 then X.compare b d else cmp -end - -module OrderedOption (X : OrderedType) : (OrderedType with type t = X.t option) = -struct - type t = X.t option - let compare (a: t) (b: t) = - match (a, b) with - | (None, None) -> 0 - | (None, _) -> -1 - | (_, None) -> 1 - | (Some a, Some b) -> X.compare a b -end -- cgit v1.2.3