How to make function that split lazy list into two?












0















I need to make function that split lazy list. For example, [5;6;3;2;1] -> [5;3;1] and [6;2]. Here is syntax of regular lists, but it have to be lazy. Function split by index, odd to first list, even to second. I write function like this, but I don`t know how to add to lazy list new element:



let rec merge list = 

let rec mergeHelp list acc = function

    | LNil -> failwith "Empty list"

    | LCons(x, xf) ->

        if (acc mod 2 == 0)

        then LCons(x, function() -> mergeHelp (acc+1) (xf())), LCons(LNil, function() -> LNil)

        else LCons(LNil, function() -> LNil), LCons(x, function() -> mergeHelp (acc+1) (xf()))

in mergeHelp list 0

;;





function functional-programming ocaml







share|improve this question























  • Maybe start by thinking about the slightly simpler problem: how do you implement List.filter for lazy lists? I.e., write a function that takes a predicate (function returning bool) and a lazy list, and returns a new lazy list containing just the elements for which the predicate is true. The hint is that you don't need to add any elements to any lists to make this work. It's just a filtering operation.

    – Jeffrey Scofield
    Nov 25 '18 at 20:59
















0















I need to make function that split lazy list. For example, [5;6;3;2;1] -> [5;3;1] and [6;2]. Here is syntax of regular lists, but it have to be lazy. Function split by index, odd to first list, even to second. I write function like this, but I don`t know how to add to lazy list new element:



let rec merge list = 

let rec mergeHelp list acc = function

    | LNil -> failwith "Empty list"

    | LCons(x, xf) ->

        if (acc mod 2 == 0)

        then LCons(x, function() -> mergeHelp (acc+1) (xf())), LCons(LNil, function() -> LNil)

        else LCons(LNil, function() -> LNil), LCons(x, function() -> mergeHelp (acc+1) (xf()))

in mergeHelp list 0

;;





function functional-programming ocaml







share|improve this question























  • Maybe start by thinking about the slightly simpler problem: how do you implement List.filter for lazy lists? I.e., write a function that takes a predicate (function returning bool) and a lazy list, and returns a new lazy list containing just the elements for which the predicate is true. The hint is that you don't need to add any elements to any lists to make this work. It's just a filtering operation.

    – Jeffrey Scofield
    Nov 25 '18 at 20:59














0












0








0








I need to make function that split lazy list. For example, [5;6;3;2;1] -> [5;3;1] and [6;2]. Here is syntax of regular lists, but it have to be lazy. Function split by index, odd to first list, even to second. I write function like this, but I don`t know how to add to lazy list new element:



let rec merge list = 

let rec mergeHelp list acc = function

    | LNil -> failwith "Empty list"

    | LCons(x, xf) ->

        if (acc mod 2 == 0)

        then LCons(x, function() -> mergeHelp (acc+1) (xf())), LCons(LNil, function() -> LNil)

        else LCons(LNil, function() -> LNil), LCons(x, function() -> mergeHelp (acc+1) (xf()))

in mergeHelp list 0

;;





function functional-programming ocaml







share|improve this question














I need to make function that split lazy list. For example, [5;6;3;2;1] -> [5;3;1] and [6;2]. Here is syntax of regular lists, but it have to be lazy. Function split by index, odd to first list, even to second. I write function like this, but I don`t know how to add to lazy list new element:



let rec merge list = 

let rec mergeHelp list acc = function

    | LNil -> failwith "Empty list"

    | LCons(x, xf) ->

        if (acc mod 2 == 0)

        then LCons(x, function() -> mergeHelp (acc+1) (xf())), LCons(LNil, function() -> LNil)

        else LCons(LNil, function() -> LNil), LCons(x, function() -> mergeHelp (acc+1) (xf()))

in mergeHelp list 0

;;





function functional-programming ocaml




function functional-programming ocaml






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked Nov 25 '18 at 20:37









IlyaIlya

345




345













  • Maybe start by thinking about the slightly simpler problem: how do you implement List.filter for lazy lists? I.e., write a function that takes a predicate (function returning bool) and a lazy list, and returns a new lazy list containing just the elements for which the predicate is true. The hint is that you don't need to add any elements to any lists to make this work. It's just a filtering operation.

    – Jeffrey Scofield
    Nov 25 '18 at 20:59



















  • Maybe start by thinking about the slightly simpler problem: how do you implement List.filter for lazy lists? I.e., write a function that takes a predicate (function returning bool) and a lazy list, and returns a new lazy list containing just the elements for which the predicate is true. The hint is that you don't need to add any elements to any lists to make this work. It's just a filtering operation.

    – Jeffrey Scofield
    Nov 25 '18 at 20:59

















Maybe start by thinking about the slightly simpler problem: how do you implement List.filter for lazy lists? I.e., write a function that takes a predicate (function returning bool) and a lazy list, and returns a new lazy list containing just the elements for which the predicate is true. The hint is that you don't need to add any elements to any lists to make this work. It's just a filtering operation.

– Jeffrey Scofield
Nov 25 '18 at 20:59





Maybe start by thinking about the slightly simpler problem: how do you implement List.filter for lazy lists? I.e., write a function that takes a predicate (function returning bool) and a lazy list, and returns a new lazy list containing just the elements for which the predicate is true. The hint is that you don't need to add any elements to any lists to make this work. It's just a filtering operation.

– Jeffrey Scofield
Nov 25 '18 at 20:59












1 Answer
1






active

oldest

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2














I don’t know what your lazy list type is but I’m going to assume from your code it looks like:



type 'a t = LNil | LCons of 'a * (unit -> 'a t)


Note that this is different from a more typical lazy list where (unit -> 'a t) would be 'a t lazy.



Chances are that the two lists won’t be consumed in the same way they are generated and we won’t want to scan through the input running all the functions once for the odds and again for the evens. So let’s write a function to pair up elements:



let rec pair = function 

  | LNil -> LNil

  | LCons (fst, rest) ->

    match rest () with

    | LNil -> LCons ((fst, None), const LNil)

    | LCons (snd, rest) ->

      let later_pairs = lazy (pair rest()) in

      LCons ((fst, Some snd), fun () -> Lazy.force later_pairs)


This function has type 'a t -> ('a * 'a option) t and the key feature that once you have scanned it once, it is cheap to scan again as you do not recommits the elements of the output. The types are a little bit sad because really we are only allowed None for the second element in the last element of the result but let us live with that and carry on. First we need some trivial utilities:



let rec map f = function

  | LNil -> LNil

  | LCons (a, r) -> LCons (f a, fun () -> map f (r ()))



let rec filter_map f = function

  | LNil -> LNil

  | LCons (x, r) ->

    let r () = filter_map f (r ()) in

    match f x with

    | None -> r ()

    | Some a -> LCons (a, r)


These have types ('a -> 'b) -> 'a t -> 'b t and ('a -> 'b option) -> 'a t -> 'b t and do the least stupid thing one would guess from reading the type signature. We can now implement the function that does what you want:



let unmerge xs =

  let pairs = pair xs in

  (map (fun (a,_) -> a) pairs, filter_map (fun (_,b) -> b) pairs)





share|improve this answer


























  • Sorry, that I don not give type of lazy list, it looks like: type 'a lazyList = LNil | LCons of 'a * (unit -> 'a lazyList);; Can you explain me from where you take function filter_some and pair, because there no in standard library and I don not see the definition in your answer?

    – Ilya
    Nov 26 '18 at 7:05













  • @Ilya sorry. Those were typos.

    – Dan Robertson
    Nov 26 '18 at 7:06











  • I make a little change in your code that hint to me terminal. I tried function for: _________pair (LCons(2, function() -> LCons(3, function() -> LCons(4, function() -> LCons(6, function() -> LNil)))));;________ and get the result _________ - : (int * int option) lazyList = LCons ((2, Some 3), <fun>) _________ so isn`t it one lazy list with tuple elements, or this is just representation of two lazy lists?

    – Ilya
    Nov 26 '18 at 7:48













  • Yes, that’s what pair does. It breaks up the list into pairs of elements. Then unmerge gives two lists.

    – Dan Robertson
    Nov 26 '18 at 9:32











  • Ok, I got it. Thanks a lot for help)

    – Ilya
    Nov 26 '18 at 9:40











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2














I don’t know what your lazy list type is but I’m going to assume from your code it looks like:



type 'a t = LNil | LCons of 'a * (unit -> 'a t)


Note that this is different from a more typical lazy list where (unit -> 'a t) would be 'a t lazy.



Chances are that the two lists won’t be consumed in the same way they are generated and we won’t want to scan through the input running all the functions once for the odds and again for the evens. So let’s write a function to pair up elements:



let rec pair = function 

  | LNil -> LNil

  | LCons (fst, rest) ->

    match rest () with

    | LNil -> LCons ((fst, None), const LNil)

    | LCons (snd, rest) ->

      let later_pairs = lazy (pair rest()) in

      LCons ((fst, Some snd), fun () -> Lazy.force later_pairs)


This function has type 'a t -> ('a * 'a option) t and the key feature that once you have scanned it once, it is cheap to scan again as you do not recommits the elements of the output. The types are a little bit sad because really we are only allowed None for the second element in the last element of the result but let us live with that and carry on. First we need some trivial utilities:



let rec map f = function

  | LNil -> LNil

  | LCons (a, r) -> LCons (f a, fun () -> map f (r ()))



let rec filter_map f = function

  | LNil -> LNil

  | LCons (x, r) ->

    let r () = filter_map f (r ()) in

    match f x with

    | None -> r ()

    | Some a -> LCons (a, r)


These have types ('a -> 'b) -> 'a t -> 'b t and ('a -> 'b option) -> 'a t -> 'b t and do the least stupid thing one would guess from reading the type signature. We can now implement the function that does what you want:



let unmerge xs =

  let pairs = pair xs in

  (map (fun (a,_) -> a) pairs, filter_map (fun (_,b) -> b) pairs)





share|improve this answer


























  • Sorry, that I don not give type of lazy list, it looks like: type 'a lazyList = LNil | LCons of 'a * (unit -> 'a lazyList);; Can you explain me from where you take function filter_some and pair, because there no in standard library and I don not see the definition in your answer?

    – Ilya
    Nov 26 '18 at 7:05













  • @Ilya sorry. Those were typos.

    – Dan Robertson
    Nov 26 '18 at 7:06











  • I make a little change in your code that hint to me terminal. I tried function for: _________pair (LCons(2, function() -> LCons(3, function() -> LCons(4, function() -> LCons(6, function() -> LNil)))));;________ and get the result _________ - : (int * int option) lazyList = LCons ((2, Some 3), <fun>) _________ so isn`t it one lazy list with tuple elements, or this is just representation of two lazy lists?

    – Ilya
    Nov 26 '18 at 7:48













  • Yes, that’s what pair does. It breaks up the list into pairs of elements. Then unmerge gives two lists.

    – Dan Robertson
    Nov 26 '18 at 9:32











  • Ok, I got it. Thanks a lot for help)

    – Ilya
    Nov 26 '18 at 9:40
















2














I don’t know what your lazy list type is but I’m going to assume from your code it looks like:



type 'a t = LNil | LCons of 'a * (unit -> 'a t)


Note that this is different from a more typical lazy list where (unit -> 'a t) would be 'a t lazy.



Chances are that the two lists won’t be consumed in the same way they are generated and we won’t want to scan through the input running all the functions once for the odds and again for the evens. So let’s write a function to pair up elements:



let rec pair = function 

  | LNil -> LNil

  | LCons (fst, rest) ->

    match rest () with

    | LNil -> LCons ((fst, None), const LNil)

    | LCons (snd, rest) ->

      let later_pairs = lazy (pair rest()) in

      LCons ((fst, Some snd), fun () -> Lazy.force later_pairs)


This function has type 'a t -> ('a * 'a option) t and the key feature that once you have scanned it once, it is cheap to scan again as you do not recommits the elements of the output. The types are a little bit sad because really we are only allowed None for the second element in the last element of the result but let us live with that and carry on. First we need some trivial utilities:



let rec map f = function

  | LNil -> LNil

  | LCons (a, r) -> LCons (f a, fun () -> map f (r ()))



let rec filter_map f = function

  | LNil -> LNil

  | LCons (x, r) ->

    let r () = filter_map f (r ()) in

    match f x with

    | None -> r ()

    | Some a -> LCons (a, r)


These have types ('a -> 'b) -> 'a t -> 'b t and ('a -> 'b option) -> 'a t -> 'b t and do the least stupid thing one would guess from reading the type signature. We can now implement the function that does what you want:



let unmerge xs =

  let pairs = pair xs in

  (map (fun (a,_) -> a) pairs, filter_map (fun (_,b) -> b) pairs)





share|improve this answer


























  • Sorry, that I don not give type of lazy list, it looks like: type 'a lazyList = LNil | LCons of 'a * (unit -> 'a lazyList);; Can you explain me from where you take function filter_some and pair, because there no in standard library and I don not see the definition in your answer?

    – Ilya
    Nov 26 '18 at 7:05













  • @Ilya sorry. Those were typos.

    – Dan Robertson
    Nov 26 '18 at 7:06











  • I make a little change in your code that hint to me terminal. I tried function for: _________pair (LCons(2, function() -> LCons(3, function() -> LCons(4, function() -> LCons(6, function() -> LNil)))));;________ and get the result _________ - : (int * int option) lazyList = LCons ((2, Some 3), <fun>) _________ so isn`t it one lazy list with tuple elements, or this is just representation of two lazy lists?

    – Ilya
    Nov 26 '18 at 7:48













  • Yes, that’s what pair does. It breaks up the list into pairs of elements. Then unmerge gives two lists.

    – Dan Robertson
    Nov 26 '18 at 9:32











  • Ok, I got it. Thanks a lot for help)

    – Ilya
    Nov 26 '18 at 9:40














2












2








2







I don’t know what your lazy list type is but I’m going to assume from your code it looks like:



type 'a t = LNil | LCons of 'a * (unit -> 'a t)


Note that this is different from a more typical lazy list where (unit -> 'a t) would be 'a t lazy.



Chances are that the two lists won’t be consumed in the same way they are generated and we won’t want to scan through the input running all the functions once for the odds and again for the evens. So let’s write a function to pair up elements:



let rec pair = function 

  | LNil -> LNil

  | LCons (fst, rest) ->

    match rest () with

    | LNil -> LCons ((fst, None), const LNil)

    | LCons (snd, rest) ->

      let later_pairs = lazy (pair rest()) in

      LCons ((fst, Some snd), fun () -> Lazy.force later_pairs)


This function has type 'a t -> ('a * 'a option) t and the key feature that once you have scanned it once, it is cheap to scan again as you do not recommits the elements of the output. The types are a little bit sad because really we are only allowed None for the second element in the last element of the result but let us live with that and carry on. First we need some trivial utilities:



let rec map f = function

  | LNil -> LNil

  | LCons (a, r) -> LCons (f a, fun () -> map f (r ()))



let rec filter_map f = function

  | LNil -> LNil

  | LCons (x, r) ->

    let r () = filter_map f (r ()) in

    match f x with

    | None -> r ()

    | Some a -> LCons (a, r)


These have types ('a -> 'b) -> 'a t -> 'b t and ('a -> 'b option) -> 'a t -> 'b t and do the least stupid thing one would guess from reading the type signature. We can now implement the function that does what you want:



let unmerge xs =

  let pairs = pair xs in

  (map (fun (a,_) -> a) pairs, filter_map (fun (_,b) -> b) pairs)





share|improve this answer















I don’t know what your lazy list type is but I’m going to assume from your code it looks like:



type 'a t = LNil | LCons of 'a * (unit -> 'a t)


Note that this is different from a more typical lazy list where (unit -> 'a t) would be 'a t lazy.



Chances are that the two lists won’t be consumed in the same way they are generated and we won’t want to scan through the input running all the functions once for the odds and again for the evens. So let’s write a function to pair up elements:



let rec pair = function 

  | LNil -> LNil

  | LCons (fst, rest) ->

    match rest () with

    | LNil -> LCons ((fst, None), const LNil)

    | LCons (snd, rest) ->

      let later_pairs = lazy (pair rest()) in

      LCons ((fst, Some snd), fun () -> Lazy.force later_pairs)


This function has type 'a t -> ('a * 'a option) t and the key feature that once you have scanned it once, it is cheap to scan again as you do not recommits the elements of the output. The types are a little bit sad because really we are only allowed None for the second element in the last element of the result but let us live with that and carry on. First we need some trivial utilities:



let rec map f = function

  | LNil -> LNil

  | LCons (a, r) -> LCons (f a, fun () -> map f (r ()))



let rec filter_map f = function

  | LNil -> LNil

  | LCons (x, r) ->

    let r () = filter_map f (r ()) in

    match f x with

    | None -> r ()

    | Some a -> LCons (a, r)


These have types ('a -> 'b) -> 'a t -> 'b t and ('a -> 'b option) -> 'a t -> 'b t and do the least stupid thing one would guess from reading the type signature. We can now implement the function that does what you want:



let unmerge xs =

  let pairs = pair xs in

  (map (fun (a,_) -> a) pairs, filter_map (fun (_,b) -> b) pairs)






share|improve this answer














share|improve this answer



share|improve this answer








edited Dec 1 '18 at 17:39









kevinji

8,69542952




8,69542952










answered Nov 25 '18 at 22:36









Dan RobertsonDan Robertson

3,433716




3,433716













  • Sorry, that I don not give type of lazy list, it looks like: type 'a lazyList = LNil | LCons of 'a * (unit -> 'a lazyList);; Can you explain me from where you take function filter_some and pair, because there no in standard library and I don not see the definition in your answer?

    – Ilya
    Nov 26 '18 at 7:05













  • @Ilya sorry. Those were typos.

    – Dan Robertson
    Nov 26 '18 at 7:06











  • I make a little change in your code that hint to me terminal. I tried function for: _________pair (LCons(2, function() -> LCons(3, function() -> LCons(4, function() -> LCons(6, function() -> LNil)))));;________ and get the result _________ - : (int * int option) lazyList = LCons ((2, Some 3), <fun>) _________ so isn`t it one lazy list with tuple elements, or this is just representation of two lazy lists?

    – Ilya
    Nov 26 '18 at 7:48













  • Yes, that’s what pair does. It breaks up the list into pairs of elements. Then unmerge gives two lists.

    – Dan Robertson
    Nov 26 '18 at 9:32











  • Ok, I got it. Thanks a lot for help)

    – Ilya
    Nov 26 '18 at 9:40



















  • Sorry, that I don not give type of lazy list, it looks like: type 'a lazyList = LNil | LCons of 'a * (unit -> 'a lazyList);; Can you explain me from where you take function filter_some and pair, because there no in standard library and I don not see the definition in your answer?

    – Ilya
    Nov 26 '18 at 7:05













  • @Ilya sorry. Those were typos.

    – Dan Robertson
    Nov 26 '18 at 7:06











  • I make a little change in your code that hint to me terminal. I tried function for: _________pair (LCons(2, function() -> LCons(3, function() -> LCons(4, function() -> LCons(6, function() -> LNil)))));;________ and get the result _________ - : (int * int option) lazyList = LCons ((2, Some 3), <fun>) _________ so isn`t it one lazy list with tuple elements, or this is just representation of two lazy lists?

    – Ilya
    Nov 26 '18 at 7:48













  • Yes, that’s what pair does. It breaks up the list into pairs of elements. Then unmerge gives two lists.

    – Dan Robertson
    Nov 26 '18 at 9:32











  • Ok, I got it. Thanks a lot for help)

    – Ilya
    Nov 26 '18 at 9:40

















Sorry, that I don not give type of lazy list, it looks like: type 'a lazyList = LNil | LCons of 'a * (unit -> 'a lazyList);; Can you explain me from where you take function filter_some and pair, because there no in standard library and I don not see the definition in your answer?

– Ilya
Nov 26 '18 at 7:05







Sorry, that I don not give type of lazy list, it looks like: type 'a lazyList = LNil | LCons of 'a * (unit -> 'a lazyList);; Can you explain me from where you take function filter_some and pair, because there no in standard library and I don not see the definition in your answer?

– Ilya
Nov 26 '18 at 7:05















@Ilya sorry. Those were typos.

– Dan Robertson
Nov 26 '18 at 7:06





@Ilya sorry. Those were typos.

– Dan Robertson
Nov 26 '18 at 7:06













I make a little change in your code that hint to me terminal. I tried function for: _________pair (LCons(2, function() -> LCons(3, function() -> LCons(4, function() -> LCons(6, function() -> LNil)))));;________ and get the result _________ - : (int * int option) lazyList = LCons ((2, Some 3), <fun>) _________ so isn`t it one lazy list with tuple elements, or this is just representation of two lazy lists?

– Ilya
Nov 26 '18 at 7:48







I make a little change in your code that hint to me terminal. I tried function for: _________pair (LCons(2, function() -> LCons(3, function() -> LCons(4, function() -> LCons(6, function() -> LNil)))));;________ and get the result _________ - : (int * int option) lazyList = LCons ((2, Some 3), <fun>) _________ so isn`t it one lazy list with tuple elements, or this is just representation of two lazy lists?

– Ilya
Nov 26 '18 at 7:48















Yes, that’s what pair does. It breaks up the list into pairs of elements. Then unmerge gives two lists.

– Dan Robertson
Nov 26 '18 at 9:32





Yes, that’s what pair does. It breaks up the list into pairs of elements. Then unmerge gives two lists.

– Dan Robertson
Nov 26 '18 at 9:32













Ok, I got it. Thanks a lot for help)

– Ilya
Nov 26 '18 at 9:40





Ok, I got it. Thanks a lot for help)

– Ilya
Nov 26 '18 at 9:40




















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Costa Masnaga

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.mw-parser-output .avviso .mbox-text-div>div,.mw-parser-output .avviso .mbox-text-full-div>div{font-size:90%}.mw-parser-output .avviso .mbox-image div{width:52px}.mw-parser-output .avviso .mbox-text-full-div .hide-when-compact{display:block} Questa voce o sezione sull'argomento Lombardia non cita le fonti necessarie o quelle presenti sono insufficienti . Puoi migliorare questa voce aggiungendo citazioni da fonti attendibili secondo le linee guida sull'uso delle fonti. Segui i suggerimenti del progetto di riferimento. Costa Masnaga comune Localizzazione Stato   Italia Regione Lombardia Provincia Lecco Amministrazione Sindaco Sabina Panzeri (Al centro il cittadino) dall'08/06/2009 Territorio Coordinate 45°46′N 9°17′E  /  45.766667°N 9.283333°E 45.766667; 9.283333  ( Costa Masnaga ) Coordinate: 45°46′N 9°17′E  /  45.766667°N 9.283333°E 45.766667; 9.283333  ( Costa Masnaga ) Altitudine 318 m s.l.m...
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Fotorealismo

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Guerrino Boatto, Venice's St. Barnaba Church and canal Il fotorealismo è un genere di pittura basato sull'uso di una o più fotografie dalle quali l'artista prende le informazioni necessarie da utilizzare poi nel processo della creazione dell'opera, in genere ad olio o ad acrilico, al fine di avere un aspetto finale il più simile possibile alla fotografia. Indice 1 Storia 2 Lista dei fotorealisti 3 Note 4 Voci correlate 5 Altri progetti Storia | Il fotorealismo è un movimento che nasce negli Stati Uniti d'America alla fine degli anni sessanta [1] sulla scia della Pop Art [2] [3] [4] , e insieme condividono il carattere reazionario verso la travolgente ascesa dei media, che alla metà del ventesimo secolo si trasforma in un fenomeno di massa talmente imponente da minacciare il valore dell'immagine nell'arte. [5] [6] Ne consegue così che, colto il gesto d'inizio che fu della Pop Art, i fotorealisti aprono ad un ...
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Sidney Franklin

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Questa voce sull'argomento registi statunitensi è solo un abbozzo . Contribuisci a migliorarla secondo le convenzioni di Wikipedia. Sidney Franklin, foto di Carl Van Vechten Oscar alla memoria Irving G. Thalberg 1943 Sidney Franklin , all'anagrafe Sidney Arnold Franklin , (San Francisco, 21 marzo 1893 – Santa Monica, 18 maggio 1972), è stato un regista, produttore cinematografico e attore statunitense. Il 20 giugno 1963, si sposò con l'attrice australiana Enid Bennett. Il matrimonio durò fino alla morte dell'attrice, il 14 maggio 1969 [1] Indice 1 Filmografia 1.1 Regista 1.2 Aiuto regia (parziale) 1.3 Produttore 1.4 Attore (parziale) 2 Note 3 Altri progetti 4 Collegamenti esterni Filmografia | Regista | The Baby , co-regia Chester M. Franklin (1915) The Rivals , co-regia Chester M. Franklin (1915) Little Dick's First Case , co-regia Chester M. Franklin (1915) Her Filmland Hero , co-...
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