Randomize a List

Question

What is the best way to randomize the order of a generic list in C#? I've got a finite set of 75 numbers in a list I would like to assign a random order to, in order to draw them for a lottery type application.

Answer 1

Shuffle any (I)List with an extension method based on the Fisher-Yates shuffle:

private static Random rng = new Random();  

public static void Shuffle<T>(this IList<T> list)  
{  
    int n = list.Count;  
    while (n > 1) {  
        n--;  
        int k = rng.Next(n + 1);  
        T value = list[k];  
        list[k] = list[n];  
        list[n] = value;  
    }  
}

Usage:

List<Product> products = GetProducts();
products.Shuffle();

The code above uses the much criticised System.Random method to select swap candidates. It's fast but not as random as it should be. If you need a better quality of randomness in your shuffles use the random number generator in System.Security.Cryptography like so:

using System.Security.Cryptography;
...
public static void Shuffle<T>(this IList<T> list)
{
    RNGCryptoServiceProvider provider = new RNGCryptoServiceProvider();
    int n = list.Count;
    while (n > 1)
    {
        byte[] box = new byte[1];
        do provider.GetBytes(box);
        while (!(box[0] < n * (Byte.MaxValue / n)));
        int k = (box[0] % n);
        n--;
        T value = list[k];
        list[k] = list[n];
        list[n] = value;
    }
}

A simple comparison is available at this blog (WayBack Machine).

Edit: Since writing this answer a couple years back, many people have commented or written to me, to point out the big silly flaw in my comparison. They are of course right. There's nothing wrong with System.Random if it's used in the way it was intended. In my first example above, I instantiate the rng variable inside of the Shuffle method, which is asking for trouble if the method is going to be called repeatedly. Below is a fixed, full example based on a really useful comment received today from @weston here on SO.

Program.cs:

using System;
using System.Collections.Generic;
using System.Threading;

namespace SimpleLottery
{
  class Program
  {
    private static void Main(string[] args)
    {
      var numbers = new List<int>(Enumerable.Range(1, 75));
      numbers.Shuffle();
      Console.WriteLine("The winning numbers are: {0}", string.Join(",  ", numbers.GetRange(0, 5)));
    }
  }

  public static class ThreadSafeRandom
  {
      [ThreadStatic] private static Random Local;

      public static Random ThisThreadsRandom
      {
          get { return Local ?? (Local = new Random(unchecked(Environment.TickCount * 31 + Thread.CurrentThread.ManagedThreadId))); }
      }
  }

  static class MyExtensions
  {
    public static void Shuffle<T>(this IList<T> list)
    {
      int n = list.Count;
      while (n > 1)
      {
        n--;
        int k = ThreadSafeRandom.ThisThreadsRandom.Next(n + 1);
        T value = list[k];
        list[k] = list[n];
        list[n] = value;
      }
    }
  }
}

Answer 2

If we only need to shuffle items in a completely random order (just to mix the items in a list), I prefer this simple yet effective code that orders items by guid...

var shuffledcards = cards.OrderBy(a => Guid.NewGuid()).ToList();

---

As people have pointed out in the comments, GUIDs are not guaranteed to be random, so we should be using a real random number generator instead:

private static Random rng = new Random();
...
var shuffledcards = cards.OrderBy(a => rng.Next()).ToList();

Answer 3

I'm bit surprised by all the clunky versions of this simple algorithm here. Fisher-Yates (or Knuth shuffle) is bit tricky but very compact. Why is it tricky? Because your need to pay attention to whether your random number generator r(a,b) returns value where b is inclusive or exclusive. I've also edited Wikipedia description so people don't blindly follow pseudocode there and create hard to detect bugs. For .Net, Random.Next(a,b) returns number exclusive of b so without further ado, here's how it can be implemented in C#/.Net:

public static void Shuffle<T>(this IList<T> list, Random rnd)
{
    for(var i=list.Count; i > 0; i--)
        list.Swap(0, rnd.Next(0, i));
}

public static void Swap<T>(this IList<T> list, int i, int j)
{
    var temp = list[i];
    list[i] = list[j];
    list[j] = temp;
}

Try this code.

Answer 4

Extension method for IEnumerable:

public static IEnumerable<T> Randomize<T>(this IEnumerable<T> source)
{
    Random rnd = new Random();
    return source.OrderBy<T, int>((item) => rnd.Next());
}

Answer 5

Idea is get anonymous object with item and random order and then reorder items by this order and return value:

var result = items.Select(x => new { value = x, order = rnd.Next() })
            .OrderBy(x => x.order).Select(x => x.value).ToList()

Answer 6

    public static List<T> Randomize<T>(List<T> list)
    {
        List<T> randomizedList = new List<T>();
        Random rnd = new Random();
        while (list.Count > 0)
        {
            int index = rnd.Next(0, list.Count); //pick a random item from the master list
            randomizedList.Add(list[index]); //place it at the end of the randomized list
            list.RemoveAt(index);
        }
        return randomizedList;
    }

Answer 7

EDIT The RemoveAt is a weakness in my previous version. This solution overcomes that.

public static IEnumerable<T> Shuffle<T>(
        this IEnumerable<T> source,
        Random generator = null)
{
    if (generator == null)
    {
        generator = new Random();
    }

    var elements = source.ToArray();
    for (var i = elements.Length - 1; i >= 0; i--)
    {
        var swapIndex = generator.Next(i + 1);
        yield return elements[swapIndex];
        elements[swapIndex] = elements[i];
    }
}

Note the optional Random generator, if the base framework implementation of Random is not thread-safe or cryptographically strong enough for your needs, you can inject your implementation into the operation.

A suitable implementation for a thread-safe cryptographically strong Random implementation can be found in this answer.

---

Here's an idea, extend IList in a (hopefully) efficient way.

public static IEnumerable<T> Shuffle<T>(this IList<T> list)
{
    var choices = Enumerable.Range(0, list.Count).ToList();
    var rng = new Random();
    for(int n = choices.Count; n > 1; n--)
    {
        int k = rng.Next(n);
        yield return list[choices[k]];
        choices.RemoveAt(k);
    }

    yield return list[choices[0]];
}

Answer 8

If you don't mind using two Lists, then this is probably the easiest way to do it, but probably not the most efficient or unpredictable one:

List<int> xList = new List<int>() { 1, 2, 3, 4, 5 };
List<int> deck = new List<int>();

foreach (int xInt in xList)
    deck.Insert(random.Next(0, deck.Count + 1), xInt);

Answer 9

This is my preferred method of a shuffle when it's desirable to not modify the original. It's a variant of the Fisher–Yates "inside-out" algorithm that works on any enumerable sequence (the length of source does not need to be known from start).

public static IList<T> NextList<T>(this Random r, IEnumerable<T> source)
{
  var list = new List<T>();
  foreach (var item in source)
  {
    var i = r.Next(list.Count + 1);
    if (i == list.Count)
    {
      list.Add(item);
    }
    else
    {
      var temp = list[i];
      list[i] = item;
      list.Add(temp);
    }
  }
  return list;
}

This algorithm can also be implemented by allocating a range from 0 to length - 1 and randomly exhausting the indices by swapping the randomly chosen index with the last index until all indices have been chosen exactly once. This above code accomplishes the exact same thing but without the additional allocation. Which is pretty neat.

With regards to the Random class it's a general purpose number generator (and If I was running a lottery I'd consider using something different). It also relies on a time based seed value by default. A small alleviation of the problem is to seed the Random class with the RNGCryptoServiceProvider or you could use the RNGCryptoServiceProvider in a method similar to this (see below) to generate uniformly chosen random double floating point values but running a lottery pretty much requires understanding randomness and the nature of the randomness source.

var bytes = new byte[8];
_secureRng.GetBytes(bytes);
var v = BitConverter.ToUInt64(bytes, 0);
return (double)v / ((double)ulong.MaxValue + 1);

The point of generating a random double (between 0 and 1 exclusively) is to use to scale to an integer solution. If you need to pick something from a list based on a random double x that's always going to be 0 <= x && x < 1 is straight forward.

return list[(int)(x * list.Count)];

Enjoy!

Answer 10

One can use the Shuffle extension methond from morelinq package, it works on IEnumerables

install-package morelinq

using MoreLinq;
...    
var randomized = list.Shuffle();

Answer 11

You can achieve that be using this simple extension method

public static class IEnumerableExtensions
{

    public static IEnumerable<t> Randomize<t>(this IEnumerable<t> target)
    {
        Random r = new Random();

        return target.OrderBy(x=>(r.Next()));
    }        
}

and you can use it by doing the following

// use this on any collection that implements IEnumerable!
// List, Array, HashSet, Collection, etc

List<string> myList = new List<string> { "hello", "random", "world", "foo", "bar", "bat", "baz" };

foreach (string s in myList.Randomize())
{
    Console.WriteLine(s);
}

Answer 12

Just wanted to suggest a variant using an IComparer<T> and List.Sort():

public class RandomIntComparer : IComparer<int>
{
    private readonly Random _random = new Random();
    
    public int Compare(int x, int y)
    {
        return _random.Next(-1, 2);
    }
}

Usage:

list.Sort(new RandomIntComparer());

Answer 13

I usually use:

var list = new List<T> ();
fillList (list);
var randomizedList = new List<T> ();
var rnd = new Random ();
while (list.Count != 0)
{
    var index = rnd.Next (0, list.Count);
    randomizedList.Add (list [index]);
    list.RemoveAt (index);
}

Answer 14

If you have a fixed number (75), you could create an array with 75 elements, then enumerate your list, moving the elements to randomized positions in the array. You can generate the mapping of list number to array index using the Fisher-Yates shuffle.

Answer 15

You can make the Fisher-Yates shuffle more terse and expressive by using tuples for the swap.

private static readonly Random random = new Random();

public static void Shuffle<T>(this IList<T> list)
{
    int n = list.Count;
    while (n > 1)
    {
        n--;
        int k = random.Next(n + 1);
        (list[k], list[n]) = (list[n], list[k]);
    }
}

Answer 16

We can use an extension method for List and use a thread-safe random generator combination. I've packaged an improved version of this on NuGet with the source code available on GitHub. The NuGet version contains optional cryptographically-strong random.

Pre-.NET 6.0 version:

[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static void Shuffle<T>(this IList<T> list)
{
    if (list == null) throw new ArgumentNullException(nameof(list));
    int n = list.Count;
    while (n > 1)
    {
        int k = ThreadSafeRandom.Instance.Next(n--);
        (list[n], list[k]) = (list[k], list[n]);
    }
}

internal class ThreadSafeRandom
{
    public static Random Instance => _local.Value;

    private static readonly Random _global = new Random();
    private static readonly ThreadLocal<Random> _local = new ThreadLocal<Random>(() =>
    {
        int seed;
        lock (_global)
        {
            seed = _global.Next();
        }
        return new Random(seed);
    });
}

On .NET 6.0 or later:

[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static void Shuffle<T>(this IList<T> list)
{
    ArgumentNullException.ThrowIfNull(list);
    int n = list.Count;
    while (n > 1)
    {
        int k = Random.Shared.Next(n--);
        (list[n], list[k]) = (list[k], list[n]);
    }
}

Install the library via NuGet for more features.

Answer 17

Implementation:

public static class ListExtensions
{
    public static void Shuffle<T>(this IList<T> list, Random random)
    {
        for (var i = list.Count - 1; i > 0; i--)
        {
            int indexToSwap = random.Next(i + 1);
            (list[indexToSwap], list[i]) = (list[i], list[indexToSwap]);
        }
    }
}

Example:

var random = new Random();
var array = new [] { 1, 2, 3 };
array.Shuffle(random);
foreach (var item in array) {
    Console.WriteLine(item);
}

Demonstration in .NET Fiddle

Answer 18

Starting in .NET 8 (still in preview), you can use Shuffle():

//Argument is Span<T> or T[]
Random.Shared.Shuffle(mySpan);

Or, for a cryptographically strong randomness:

//Argument is Span<T>
RandomNumberGenerator.Shuffle(mySpan);

For a list, you would have to create an array first (myList.ToArray()) shuffle as above and then create a new list from the shuffled array

Answer 19

A simple modification of the accepted answer that returns a new list instead of working in-place, and accepts the more general IEnumerable<T> as many other Linq methods do.

private static Random rng = new Random();

/// <summary>
/// Returns a new list where the elements are randomly shuffled.
/// Based on the Fisher-Yates shuffle, which has O(n) complexity.
/// </summary>
public static IEnumerable<T> Shuffle<T>(this IEnumerable<T> list) {
    var source = list.ToList();
    int n = source.Count;
    var shuffled = new List<T>(n);
    shuffled.AddRange(source);
    while (n > 1) {
        n--;
        int k = rng.Next(n + 1);
        T value = shuffled[k];
        shuffled[k] = shuffled[n];
        shuffled[n] = value;
    }
    return shuffled;
}

Answer 20

    List<T> OriginalList = new List<T>();
    List<T> TempList = new List<T>();
    Random random = new Random();
    int length = OriginalList.Count;
    int TempIndex = 0;

    while (length > 0) {
        TempIndex = random.Next(0, length);  // get random value between 0 and original length
        TempList.Add(OriginalList[TempIndex]); // add to temp list
        OriginalList.RemoveAt(TempIndex); // remove from original list
        length = OriginalList.Count;  // get new list <T> length.
    }

    OriginalList = new List<T>();
    OriginalList = TempList; // copy all items from temp list to original list.

Answer 21

Here is an implementation of the Fisher-Yates shuffle that allows specification of the number of elements to return; hence, it is not necessary to first sort the whole collection before taking your desired number of elements.

The sequence of swapping elements is reversed from default; and proceeds from the first element to the last element, so that retrieving a subset of the collection yields the same (partial) sequence as shuffling the whole collection:

collection.TakeRandom(5).SequenceEqual(collection.Shuffle().Take(5)); // true

This algorithm is based on Durstenfeld's (modern) version of the Fisher-Yates shuffle on Wikipedia.

public static IList<T> TakeRandom<T>(this IEnumerable<T> collection, int count, Random random) => shuffle(collection, count, random);
public static IList<T> Shuffle<T>(this IEnumerable<T> collection, Random random) => shuffle(collection, null, random);
private static IList<T> shuffle<T>(IEnumerable<T> collection, int? take, Random random)
{
    var a = collection.ToArray();
    var n = a.Length;
    if (take <= 0 || take > n) throw new ArgumentException("Invalid number of elements to return.");
    var end = take ?? n;
    for (int i = 0; i < end; i++)
    {
        var j = random.Next(i, n);
        (a[i], a[j]) = (a[j], a[i]);
    }

    if (take.HasValue) return new ArraySegment<T>(a, 0, take.Value);
    return a;
}

Answer 22

Beginning with .net 8.0 The new Random.Shuffle and RandomNumberGenerator.Shuffle<T>(Span<T>) methods let you randomize the order of a span of items.

int[] myNumbers = LoadNumbers();
Random.Shared.Shuffle(myNumbers);
// myNumbers are now shuffled.

Answer 23

Here's an efficient Shuffler that returns a byte array of shuffled values. It never shuffles more than is needed. It can be restarted from where it previously left off. My actual implementation (not shown) is a MEF component that allows a user specified replacement shuffler.

    public byte[] Shuffle(byte[] array, int start, int count)
    {
        int n = array.Length - start;
        byte[] shuffled = new byte[count];
        for(int i = 0; i < count; i++, start++)
        {
            int k = UniformRandomGenerator.Next(n--) + start;
            shuffled[i] = array[k];
            array[k] = array[start];
            array[start] = shuffled[i];
        }
        return shuffled;
    }

`

Answer 24

I have found an interesting solution online.

Courtesy: https://improveandrepeat.com/2018/08/a-simple-way-to-shuffle-your-lists-in-c/

var shuffled = myList.OrderBy(x => Guid.NewGuid()).ToList();

Answer 25

Your question is how to randomize a list. This means:

1. All unique combinations should be possible of happening
2. All unique combinations should occur with the same distribution (AKA being non-biased).

A large number of the answers posted for this question do NOT satisfy the two requirements above for being "random".

Here's a compact, non-biased pseudo-random function following the Fisher-Yates shuffle method.

public static void Shuffle<T>(this IList<T> list, Random rnd)
{
    for (var i = list.Count-1; i > 0; i--)
    {
        var randomIndex = rnd.Next(i + 1); //maxValue (i + 1) is EXCLUSIVE
        list.Swap(i, randomIndex); 
    }
}

public static void Swap<T>(this IList<T> list, int indexA, int indexB)
{
   var temp = list[indexA];
   list[indexA] = list[indexB];
   list[indexB] = temp;
}

Answer 26

Here's a thread-safe way to do this:

public static class EnumerableExtension
{
    private static Random globalRng = new Random();

    [ThreadStatic]
    private static Random _rng;

    private static Random rng 
    {
        get
        {
            if (_rng == null)
            {
                int seed;
                lock (globalRng)
                {
                    seed = globalRng.Next();
                }
                _rng = new Random(seed);
             }
             return _rng;
         }
    }

    public static IEnumerable<T> Shuffle<T>(this IEnumerable<T> items)
    {
        return items.OrderBy (i => rng.Next());
    }
}

Answer 27

 public Deck(IEnumerable<Card> initialCards) 
    {
    cards = new List<Card>(initialCards);
    public void Shuffle() 
     }
    {
        List<Card> NewCards = new List<Card>();
        while (cards.Count > 0) 
        {
            int CardToMove = random.Next(cards.Count);
            NewCards.Add(cards[CardToMove]);
            cards.RemoveAt(CardToMove);
        }
        cards = NewCards;
    }

public IEnumerable<string> GetCardNames() 

{
    string[] CardNames = new string[cards.Count];
    for (int i = 0; i < cards.Count; i++)
    CardNames[i] = cards[i].Name;
    return CardNames;
}

Deck deck1;
Deck deck2;
Random random = new Random();

public Form1() 
{

InitializeComponent();
ResetDeck(1);
ResetDeck(2);
RedrawDeck(1);
 RedrawDeck(2);

}



 private void ResetDeck(int deckNumber) 
    {
    if (deckNumber == 1) 
{
      int numberOfCards = random.Next(1, 11);
      deck1 = new Deck(new Card[] { });
      for (int i = 0; i < numberOfCards; i++)
           deck1.Add(new Card((Suits)random.Next(4),(Values)random.Next(1, 14)));
       deck1.Sort();
}


   else
    deck2 = new Deck();
 }

private void reset1_Click(object sender, EventArgs e) {
ResetDeck(1);
RedrawDeck(1);

}

private void shuffle1_Click(object sender, EventArgs e) 
{
    deck1.Shuffle();
    RedrawDeck(1);

}

private void moveToDeck1_Click(object sender, EventArgs e) 
{

    if (listBox2.SelectedIndex >= 0)
    if (deck2.Count > 0) {
    deck1.Add(deck2.Deal(listBox2.SelectedIndex));

}

    RedrawDeck(1);
    RedrawDeck(2);

}

Answer 28

public List shufflelist(List list) { LetterClass tempelement; List templist = new List(); List listcopy = new List(); int rand;

    foreach (LetterClass item in list)
    {
        listcopy.Add(item);
    }

    while (listcopy.Count != 0)
    {
        rand = Random.Range(0, listcopy.Count);
        tempelement = listcopy[rand];
        templist.Add(listcopy[rand]);
        listcopy.Remove(tempelement);

    }

    return templist;

}

Answer 29

private List<GameObject> ShuffleList(List<GameObject> ActualList) {


    List<GameObject> newList = ActualList;
    List<GameObject> outList = new List<GameObject>();

    int count = newList.Count;

    while (newList.Count > 0) {

        int rando = Random.Range(0, newList.Count);

        outList.Add(newList[rando]);

        newList.RemoveAt(rando);

     

    }

    return (outList);

}

usage :

List<GameObject> GetShuffle = ShuffleList(ActualList);

Answer 30

Old post for sure, but I just use a GUID.

Items = Items.OrderBy(o => Guid.NewGuid().ToString()).ToList();

A GUID is always unique, and since it is regenerated every time the result changes each time.

Answer 31

A very simple approach to this kind of problem is to use a number of random element swap in the list.

In pseudo-code this would look like this:

do 
    r1 = randomPositionInList()
    r2 = randomPositionInList()
    swap elements at index r1 and index r2 
for a certain number of times