Sequence Random Permutation

A generic function that randomly permutes the elements of a sequence.

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open System
 
let rec scramble (sqn : seq<'T>) = 
    let rnd = new Random()
    /// Removes an element from a sequence.
    let remove n sqn = sqn |> Seq.filter (fun x -> x <> n)
 
    seq {
        let x = sqn |> Seq.nth (rnd.Next(0, sqn |> Seq.length))
        yield x
        let sqn' = remove x sqn
        if not (sqn' |> Seq.isEmpty) then
            yield! scramble sqn'
    }
 
// Example:
let test = scramble ['1' .. '9'] |> Seq.toList
// Output:
// val test : char list = ['3'; '6'; '7'; '5'; '4'; '8'; '2'; '1'; '9']

namespace System

val scramble : sqn:seq<'T> -> seq<'T> (requires equality)

Full name: Script.scramble

val sqn : seq<'T> (requires equality)

Multiple items
val seq : sequence:seq<'T> -> seq<'T>

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

--------------------
type seq<'T> = Collections.Generic.IEnumerable<'T>

Full name: Microsoft.FSharp.Collections.seq<_>

val rnd : Random

Multiple items
type Random =
  new : unit -> Random + 1 overload
  member Next : unit -> int + 2 overloads
  member NextBytes : buffer:byte[] -> unit
  member NextDouble : unit -> float

Full name: System.Random

--------------------
Random() : unit
Random(Seed: int) : unit

val remove : ('a -> seq<'a> -> seq<'a>) (requires equality)

Removes an element from a sequence.

val n : 'a (requires equality)

val sqn : seq<'a> (requires equality)

module Seq

from Microsoft.FSharp.Collections

val filter : predicate:('T -> bool) -> source:seq<'T> -> seq<'T>

Full name: Microsoft.FSharp.Collections.Seq.filter

val x : 'a (requires equality)

val x : 'T (requires equality)

val nth : index:int -> source:seq<'T> -> 'T

Full name: Microsoft.FSharp.Collections.Seq.nth

Random.Next() : int
Random.Next(maxValue: int) : int
Random.Next(minValue: int, maxValue: int) : int

val length : source:seq<'T> -> int

Full name: Microsoft.FSharp.Collections.Seq.length

val sqn' : seq<'T> (requires equality)

val not : value:bool -> bool

Full name: Microsoft.FSharp.Core.Operators.not

val isEmpty : source:seq<'T> -> bool

Full name: Microsoft.FSharp.Collections.Seq.isEmpty

val test : char list

Full name: Script.test

val toList : source:seq<'T> -> 'T list

Full name: Microsoft.FSharp.Collections.Seq.toList

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More information

Link:	http://fssnip.net/16
Posted:	7 years ago
Author:	Taha Hachana
Tags:	seq , sequence , random , permutation