Sort (Comparison<T> comparison)

//
// Summary:
//     Sorts the elements in the entire System.Collections.Generic.LinkedList<T> using
//     the default comparer.
//
public static void Sort<T> (this LinkedList<T> @this)
{
	@this.Sort (Comparer<T>.Default.Compare);
}

//
// Summary:
//     Sorts the elements in the entire System.Collections.Generic.LinkedList<T> using
//     the specified comparer.
//
// Parameters:
//   comparer:
//     The System.Collections.Generic.IComparer<T> implementation to use when comparing
//     elements, or null to use the default comparer System.Collections.Generic.Comparer<T>.Default.
//
public static void Sort<T> (this LinkedList<T> @this, IComparer<T> comparer)
{
	if (comparer == null)
		comparer = Comparer<T>.Default;
	@this.Sort (comparer.Compare);
}

//
// Summary:
//     Sorts the elements in the entire System.Collections.Generic.LinkedList<T> using
//     the specified System.Comparison<T>.
//
// Parameters:
//   comparison:
//     The System.Comparison<T> to use when comparing elements.
//
// Exceptions:
//   System.ArgumentNullException:
//     comparison is null.
//
public static void Sort<T> (this LinkedList<T> @this, Comparison<T> comparison)
{
	if (@this == null)
		throw new NullReferenceException ();

	if (comparison == null)
		throw new ArgumentNullException ("comparison");

	int count = @this.Count;
	if (count <= 1)
		return;

	// merge pairs of lists of doubling size
	for (int mergeLength = 1; mergeLength < count; mergeLength *= 2)
	{
		LinkedListNode<T> mergedTail = null;
		LinkedListNode<T> head2;
		for (LinkedListNode<T> head1 = @this.First; head1 != null; head1 = head2)
		{
			// skip over the 1st part to the start 2nd
			head2 = head1;
			int length1;
			for (length1 = 0; length1 < mergeLength && head2 != null; ++length1)
				head2 = head2.Next;

			// assume we have a full-length 2nd part
			int length2 = mergeLength;

			// while we still have items to merge
			while (length1 > 0 || (length2 > 0 && head2 != null))
			{
				LinkedListNode<T> next;

				// determine which part the next item comes from
				if (length1 != 0 && !(length2 != 0 && head2 != null && comparison (head1.Value, head2.Value) > 0))
				{
					// take item from 1st part
					Debug.Assert (head1 != null);
					next = head1;
					head1 = head1.Next;

					Debug.Assert (length1 > 0);
					--length1;
				}
				else
				{

					// take item from 2nd part
					Debug.Assert (head2 != null);
					next = head2;
					head2 = head2.Next;

					Debug.Assert (length2 > 0);
					--length2;
				}

				// append the next item to the merged list
				if (mergedTail == null)
				{
					// start a new merged list at the front of the source list
					if (@this.First != next)	// check for no-op
					{
						@this.Remove (next);
						@this.AddFirst (next);
					}
				}
				else if (mergedTail.Next != next)	// check for no-op
				{
					@this.Remove (next);
					@this.AddAfter (mergedTail, next);
				}

				// advance the merged tail
				mergedTail = next;
			}
		}
	}
}

LinkedList<int> list = new LinkedList<int> (Enumerable.Range (0, 100).Reverse ());
list.Sort ();
Console.WriteLine (string.Join (", ", from l in list select l.ToString ()));