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authorFranciszek Malinka <franciszek.malinka@gmail.com>2021-10-05 21:49:54 +0200
committerFranciszek Malinka <franciszek.malinka@gmail.com>2021-10-05 21:49:54 +0200
commitc5fcf7179a83ef65c86c6a4a390029149e518649 (patch)
treed29ffc5b86a0d257453cedcf87d91a13d8bf3b0d /Semestr 3/pf/lista2/rozw.ml
parentf8a88b6a4aba1f66d04711a9330eaba49a50c463 (diff)
Duzy commit ze smieciami
Diffstat (limited to 'Semestr 3/pf/lista2/rozw.ml')
-rw-r--r--Semestr 3/pf/lista2/rozw.ml230
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diff --git a/Semestr 3/pf/lista2/rozw.ml b/Semestr 3/pf/lista2/rozw.ml
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--- a/Semestr 3/pf/lista2/rozw.ml
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-(* Zadanie 1 *)
-
-let sublists l =
- let rec backtrack sl = function
- | [] -> [sl]
- | hd :: tl -> (backtrack (sl @ [hd]) tl) @ backtrack sl tl
- in backtrack [] l
-
-
-(* Zadanie 2 *)
-
-(* Znalezione tutaj: https://stackoverflow.com/questions/2710233/how-to-get-a-sub-list-from-a-list-in-ocaml *)
-
-let rec super_sublist b e = function
- | [] -> failwith "empty list"
- | hd :: tl ->
- let tail = if e <= 1 then [] else super_sublist (b - 1) (e - 1) tl in
- if b > 0 then tail else hd :: tail
-
-(* Moje rozwiązanie: *)
-
-let rec sublist b e l =
- let rec suffix idx l =
- if idx = 0 then l else suffix (idx - 1) (List.tl l) in
- let rec prefix idx l =
- if idx = 0 then [] else (List.hd l) :: (prefix (idx - 1) (List.tl l)) in
- prefix (e - 1) (suffix b l)
-
-let cycle_with_sub sublist_fun xs n =
- sublist_fun n (n + (List.length xs)) (xs @ xs)
-
-let super_cycle = cycle_with_sub super_sublist
-let cycle = cycle_with_sub sublist
-
-
-(* Zadanie 3 *)
-
-let reverse xs =
- let rec iter res = function
- | [] -> res
- | hd :: tl -> (iter (hd :: res) tl) in
- iter [] xs
-
-let merge_iter cmp xs ys =
- let rec iter xs ys res =
- match xs with
- [] -> (reverse ys) @ res
- | hdx :: tlx ->
- match ys with
- [] -> (reverse xs) @ res
- | (hdy :: tly) when cmp hdx (List.hd ys) ->
- iter tlx ys (hdx :: res)
- | (hdy :: tly) -> iter xs tly (hdy :: res) in
- (reverse (iter xs ys []))
-
-let rec merge cmp xs ys =
- match xs with
- [] -> ys
- | hdx :: tlx ->
- match ys with
- [] -> xs
- | (hdy :: tly) when (cmp hdx (List.hd ys)) -> hdx :: (merge cmp tlx ys)
- | (hdy :: tly) -> hdy :: (merge cmp xs tly)
-
-let gen_pesimistic ?(f = fun x -> x) range =
- let rec iter xs = function
- | 0 -> xs
- | (n : int) -> iter ((f n) :: xs) (n - 1) in
- iter [] range
-
-let time f x =
- let t = Sys.time() in
- let fx = f x in
- Printf.printf "Execution time: %fs\n" (Sys.time() -. t);
- fx
-
-let test_merge range =
- let xs = gen_pesimistic range in
- let ys = gen_pesimistic range in
- time (merge (<) xs) ys
-
-let test_merge_iter range =
- let xs = gen_pesimistic range in
- let ys = gen_pesimistic range in
- time (merge_iter (<) xs) ys
-
-let halve xs =
- let rec iter xs crawl sth =
- match crawl with
- [] -> (sth, xs)
- | [x] -> (sth, xs)
- | st :: nd :: tl -> iter (List.tl xs) tl ((List.hd xs) :: sth) in
- let sth, ndh = iter xs xs [] in
- ((reverse sth), ndh)
-
-let rec mergesort_generic merge cmp = function
- | [] -> []
- | [x] -> [x]
- | xs -> let sth, ndh = halve xs in
- merge cmp (mergesort_generic merge cmp sth) (mergesort_generic merge cmp ndh)
-
-let mergesort = mergesort_generic merge (<)
-let mergesort_with_iter_merge = mergesort_generic merge_iter (<)
-
-let test_mergesort = mergesort [6;4;2;624;4;446;46;3;2346234;623;3246;23;6;3462;346]
-let test_mergesort_with_iter_merge = mergesort_with_iter_merge [6;4;2;624;4;446;46;3;2346234;623;3246;23;6;3462;346]
-
-let range = 10000
-let mergesort_test = gen_pesimistic ~f:(fun x -> range - x) range
-let pesimistic_mergesort_test = gen_pesimistic range
-
-let merge_no_reverse cmp xs ys =
- let rec iter xs ys res =
- match xs with
- [] -> if ys == [] then res else iter xs (List.tl ys) ((List.hd ys) :: res)
- | hdx :: tlx ->
- match ys with
- [] -> iter tlx ys (hdx :: res)
- | hdy :: tly ->
- if cmp hdx hdy
- then iter tlx ys (hdx :: res)
- else iter xs tly (hdy :: res) in
- iter xs ys []
-
-
-(* Zadanie 4 *)
-
-let rec map f = function
- | [] -> []
- | hd :: tl -> (f hd) :: (map f tl)
-
-let rec perm =
- let rec iter res pref = function
- | [] -> res
- | hd :: tl ->
- let perms = map (fun ys -> hd :: ys) (perm (pref@tl)) in
- iter (res @ perms) (pref @ [hd]) tl in function
- | [] -> [[]]
- | xs -> iter [] [] xs
-
-let rec flatmap f = function
- | [] -> []
- | hd :: tl -> (f hd) @ (flatmap f tl)
-
-let rec perm_flat =
- let rec iter res x pref = function
- | [] -> (pref@[x]) :: res
- | hd :: tl ->
- iter ((pref@(x :: hd :: tl)) :: res) x (pref@[hd]) tl in function
- | [] -> [[]]
- | hd :: tl ->
- flatmap (iter [] hd []) (perm_flat tl)
-
-
-(* Zadanie 5 *)
-
-let suffixes xs =
- let rec iter res = function
- | [] -> [] :: res
- | hd :: tl -> iter ((hd :: tl) :: res) tl in
- reverse (iter [] xs)
-
-let prefixes xs = reverse (map reverse (suffixes (reverse xs)))
-
-(* Zadanie 6 *)
-
-type 'a clist = { clist : 'z. ('a -> 'z -> 'z) -> 'z -> 'z }
-
-let cnil = { clist = fun f z -> z }
-let ccons x xs = { clist = fun f z -> f x (xs.clist f z) }
-let map g xs = { clist = fun f z -> xs.clist (fun a z -> f (g a) z) z }
-let append xs ys = { clist = fun f z -> xs.clist f (ys.clist f z) }
-let clist_to_list xs = xs.clist (fun x xs -> x :: xs) []
-(* let prod xs ys = fun f z -> { clist = fun f z -> xs.clist ( ) z } *)
-
-let prod xs ys = { clist = fun f z -> xs.clist (fun a z -> ys.clist (fun b zz -> f (a, b) zz) z) z }
-
-(* 'a clist -> 'b clist -> ('b -> 'a) clist *)
-(* let list_pow xs ys = { clist= fun f x -> } *)
-
-(* let pow f1 f2 = { cnum = fun f x -> (f2.cnum (mul f1) one).cnum f x } *)
-
-let ccar xs = List.hd (clist_to_list xs)
-
-(* Zadanie 7 *)
-
-type cbool = { cbool : 'a. 'a -> 'a -> 'a }
-type cnum = { cnum : 'a. ('a -> 'a) -> 'a -> 'a }
-
-let even n =
- { cbool = fun tt ff -> fst (n.cnum (fun (a, b) -> (b, a)) (tt, ff))}
-
-let ctrue =
- { cbool = fun a b -> a}
-let cfalse =
- { cbool = fun a b -> b}
-let cand f1 f2 a b = f1.cbool (f2.cbool a b) b
-let cor f1 f2 a b = f1.cbool a (f2.cbool a b)
-let cbool_of_bool b = if b then ctrue else cfalse
-let bool_of_cbool f = f.cbool true false
-
-let zero = { cnum = fun f x -> x }
-
-let succ fn = { cnum = fun f x -> fn.cnum f (f x) }
-let add f1 f2 = { cnum = fun f x -> f1.cnum f (f2.cnum f x) }
-let mul f1 f2 = { cnum = fun f x -> f1.cnum (f2.cnum f) x }
-
-let one = succ zero
-let pow f1 f2 = { cnum = fun f x -> (f2.cnum (mul f1) one).cnum f x }
-
-let rec cnum_of_int = function
- | 0 -> zero
- | n -> succ (cnum_of_int (n - 1))
-let is_zero f =
- let g x = x + 1
- in if (f.cnum g 0) = 0 then true else false
-let int_of_cnum f = f.cnum (fun x -> x + 1) 0
-
-let two = succ one
-let three = succ two
-let four = succ three
-let five = succ four
-
-let func x = x * 2
-
-let pred n = { cnum = fun f x -> fst (n.cnum (fun (a, b) -> (b, f(b))) (x, x)) }
-
-let ctail xs = { clist = fun f z -> fst (xs.clist (fun a (z1, z2) -> (z2, f a z2)) (z, z)) }
-
-let length xs = xs.clist (fun a z -> z + 1) 0 \ No newline at end of file