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Project Euler #4

My take at Project Euler #4

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[<RequireQualifiedAccess>]
module Array =
    [<RequireQualifiedAccess>]
    module Parallel =
        let filter predicate array =
            array |> Array.Parallel.choose (fun x -> if predicate x then Some x else None)

module NumericLiteralG =
    let inline FromZero () = LanguagePrimitives.GenericZero
    let inline FromOne () = LanguagePrimitives.GenericOne

let inline isNumPalindrome number =
    let ten =
        let two = 1G + 1G
        let three = two + 1G
        let five = three + two
        five + five
    let hundred = ten * ten

    let rec findHighDiv div =
        let div' = div * ten
        match number / div' with
          | x when x = 0G    -> div
          | _                -> findHighDiv div'
    let rec impl n = function
      | x when x = 0G    -> true
      | div              -> match n / div, n % ten with
                              | a, b when a <> b -> false
                              | _                -> impl (n % div / ten) (div / hundred)
    impl number (findHighDiv 1G)

do
    Array.Parallel.init 900 ((+) 100 >> fun n -> Array.init (1000 - n) ((+) n >> (*) n))
    |> Array.concat
    |> Array.Parallel.filter isNumPalindrome
    |> Array.max
    |> stdout.WriteLine
Multiple items
type RequireQualifiedAccessAttribute =
  inherit Attribute
  new : unit -> RequireQualifiedAccessAttribute

Full name: Microsoft.FSharp.Core.RequireQualifiedAccessAttribute

--------------------
new : unit -> RequireQualifiedAccessAttribute
module Array

from Microsoft.FSharp.Collections
module Parallel

from Script.Array
val filter : predicate:('a -> bool) -> array:'a [] -> 'a []

Full name: Script.Array.Parallel.filter
val predicate : ('a -> bool)
Multiple items
val array : 'a []

--------------------
type 'T array = 'T []

Full name: Microsoft.FSharp.Core.array<_>
module Parallel

from Microsoft.FSharp.Collections.ArrayModule
val choose : chooser:('T -> 'U option) -> array:'T [] -> 'U []

Full name: Microsoft.FSharp.Collections.ArrayModule.Parallel.choose
val x : 'a
union case Option.Some: Value: 'T -> Option<'T>
union case Option.None: Option<'T>
val FromZero : unit -> 'a (requires member get_Zero)

Full name: Script.NumericLiteralG.FromZero
module LanguagePrimitives

from Microsoft.FSharp.Core
val GenericZero<'T (requires member get_Zero)> : 'T (requires member get_Zero)

Full name: Microsoft.FSharp.Core.LanguagePrimitives.GenericZero
val FromOne : unit -> 'a (requires member get_One)

Full name: Script.NumericLiteralG.FromOne
val GenericOne<'T (requires member get_One)> : 'T (requires member get_One)

Full name: Microsoft.FSharp.Core.LanguagePrimitives.GenericOne
val isNumPalindrome : number:'a -> bool (requires member ( / ) and member ( % ) and member ( % ) and member get_One and member ( / ) and member get_Zero and member ( * ) and equality and member ( * ) and member ( / ) and member ( + ) and member ( + ) and member ( + ) and member get_One and member ( + ) and member get_One and member get_One and member get_Zero and equality)

Full name: Script.isNumPalindrome
val number : 'a (requires member ( / ) and member ( % ) and member ( % ) and member get_One and member ( / ) and member get_Zero and member ( * ) and equality and member ( * ) and member ( / ) and member ( + ) and member ( + ) and member ( + ) and member get_One and member ( + ) and member get_One and member get_One and member get_Zero and equality)
val ten : 'd (requires member ( * ) and member ( * ) and member ( % ) and member ( / ) and member ( + ) and member ( + ) and member ( + ) and member get_One and member ( + ) and member get_One and member get_One and member ( / ) and member get_One and member get_Zero and member ( % ) and member ( / ) and equality and member get_Zero and equality)
val two : 'g (requires member ( + ) and member ( + ) and member get_One and member ( + ) and member get_One and member get_One and member ( + ) and member ( * ) and member ( * ) and member ( % ) and member ( / ) and member ( / ) and member get_One and member get_Zero and member ( % ) and member ( / ) and equality and member get_Zero and equality)
val three : 'f (requires member ( + ) and member ( + ) and member get_One and member ( + ) and member get_One and member get_One and member ( + ) and member ( * ) and member ( * ) and member ( % ) and member ( / ) and member ( / ) and member get_One and member get_Zero and member ( % ) and member ( / ) and equality and member get_Zero and equality)
val five : 'e (requires member ( + ) and member ( + ) and member ( + ) and member get_One and member ( + ) and member get_One and member get_One and member ( * ) and member ( * ) and member ( % ) and member ( / ) and member ( / ) and member get_One and member get_Zero and member ( % ) and member ( / ) and equality and member get_Zero and equality)
val hundred : 'c (requires member ( / ) and member ( * ) and member ( * ) and member ( % ) and member ( / ) and member ( + ) and member ( + ) and member ( + ) and member get_One and member ( + ) and member get_One and member get_One and member get_One and member get_Zero and member ( % ) and member ( / ) and equality and member get_Zero and equality)
val findHighDiv : ('b -> 'b) (requires member get_One and member ( / ) and member get_Zero and member ( % ) and member ( / ) and member ( * ) and equality and member ( * ) and member ( % ) and member ( / ) and member ( + ) and member ( + ) and member ( + ) and member get_One and member ( + ) and member get_One and member get_One and member get_Zero and equality)
val div : 'b (requires member get_One and member ( / ) and member get_Zero and member ( % ) and member ( / ) and member ( * ) and equality and member ( * ) and member ( % ) and member ( / ) and member ( + ) and member ( + ) and member ( + ) and member get_One and member ( + ) and member get_One and member get_One and member get_Zero and equality)
val div' : 'b (requires member get_One and member ( / ) and member get_Zero and member ( % ) and member ( / ) and member ( * ) and equality and member ( * ) and member ( % ) and member ( / ) and member ( + ) and member ( + ) and member ( + ) and member get_One and member ( + ) and member get_One and member get_One and member get_Zero and equality)
val x : 'k (requires member get_Zero and equality and member ( / ) and member ( % ) and member ( % ) and member get_One and member ( / ) and member get_Zero and member ( * ) and equality and member ( * ) and member ( / ) and member ( + ) and member ( + ) and member ( + ) and member get_One and member ( + ) and member get_One and member get_One)
val impl : ('a -> 'b -> bool) (requires member ( / ) and member ( % ) and member ( % ) and member get_One and member ( / ) and member get_Zero and member ( * ) and equality and member ( * ) and member ( / ) and member ( + ) and member ( + ) and member ( + ) and member get_One and member ( + ) and member get_One and member get_One and member get_Zero and equality)
val n : 'a (requires member ( / ) and member ( % ) and member ( % ) and member get_One and member ( / ) and member get_Zero and member ( * ) and equality and member ( * ) and member ( / ) and member ( + ) and member ( + ) and member ( + ) and member get_One and member ( + ) and member get_One and member get_One and member get_Zero and equality)
val x : 'b (requires member get_One and member ( / ) and member get_Zero and member ( % ) and member ( / ) and member ( * ) and equality and member ( * ) and member ( % ) and member ( / ) and member ( + ) and member ( + ) and member ( + ) and member get_One and member ( + ) and member get_One and member get_One and member get_Zero and equality)
val a : 'k (requires member get_Zero and equality and member ( / ) and member ( % ) and member ( % ) and member get_One and member ( / ) and member get_Zero and member ( * ) and equality and member ( * ) and member ( / ) and member ( + ) and member ( + ) and member ( + ) and member get_One and member ( + ) and member get_One and member get_One)
val b : 'k (requires member get_Zero and equality and member ( / ) and member ( % ) and member ( % ) and member get_One and member ( / ) and member get_Zero and member ( * ) and equality and member ( * ) and member ( / ) and member ( + ) and member ( + ) and member ( + ) and member get_One and member ( + ) and member get_One and member get_One)
Multiple items
module Array

from Script

--------------------
module Array

from Microsoft.FSharp.Collections
Multiple items
module Parallel

from Script.Array

--------------------
module Parallel

from Microsoft.FSharp.Collections.ArrayModule
val init : count:int -> initializer:(int -> 'T) -> 'T []

Full name: Microsoft.FSharp.Collections.ArrayModule.Parallel.init
val n : int
val init : count:int -> initializer:(int -> 'T) -> 'T []

Full name: Microsoft.FSharp.Collections.Array.init
val concat : arrays:seq<'T []> -> 'T []

Full name: Microsoft.FSharp.Collections.Array.concat
val max : array:'T [] -> 'T (requires comparison)

Full name: Microsoft.FSharp.Collections.Array.max
val stdout<'T> : System.IO.TextWriter

Full name: Microsoft.FSharp.Core.Operators.stdout

More information

Link:http://fssnip.net/hP
Posted:4 years ago
Author:ildjarn
Tags: euler , palindrome