Is there a performance difference between these two algorithms for shuffling an IEnumerable?

Question

These two questions give similar algorthims for shuffling an IEnumerable:

• C#: Is using Random and OrderBy a good shuffle algorithm?
• Can you enumerate a collection in C# out of order?

Here are the two methods side-by-side:

public static IEnumerable<T> Shuffle1<T> (this IEnumerable<T> source)
{
    Random random = new Random ();
    T [] copy = source.ToArray ();

    for (int i = copy.Length - 1; i >= 0; i--) {
        int index = random.Next (i + 1);
        yield return copy [index];
        copy [index] = copy [i];
    }
}


public static IEnumerable<T> Shuffle2<T> (this IEnumerable<T> source)
{
    Random random = new Random ();
    List<T> copy = source.ToList ();

    while (copy.Count > 0) {
        int index = random.Next (copy.Count);
        yield return copy [index];
        copy.RemoveAt (index);
    }
}

They are basically identical, except one uses a List, and one uses an array. Conceptually, the second one seems more clear to me. But is there a substantial performance benefit to be gained from using an array? Even if the Big-O time is the same, if it is several times faster, it could make a noticeable difference.

Answer 1

The second version will probably be a bit slower because of RemoveAt. Lists are really arrays that grow when you add elements to them, and as such, insertion and removal in the middle is slow (in fact, MSDN states that RemoveAt has an O(n) complexity).

Anyway, the best would be to simply use a profiler to compare both methods.