ShellSort – Sort Arrays using the ShellSort Algorithm

' ShellSort an array of any type'' ShellSort behaves pretty well with arrays of any size, even' if the array is already "nearly-sorted", even though in' particular cases BubbleSort or QuickSort can be more efficient.'' LASTEL is the index of the last item to be sorted, and is' useful if the array is only partially filled. This updated version accounts' for arrays whose LBound is 0 and 1 (or whatever)'' Works with any kind of array, except UDTs and fixed-length' strings, and including objects if your are sorting on their' default property. String are sorted in case-sensitive mode.'' You can write faster procedures if you modify the first two lines' to account for a specific data type, eg.' Sub ShellSortS(arr() As Single, Optional lastEl As Variant,'  Optional descending As Boolean)'   Dim value As SingleSub ShellSort(arr As Variant, Optional lastEl As Variant, _    Optional descending As Boolean)    Dim value As Variant    Dim index As Long, index2 As Long    Dim firstEl As Long    Dim distance As Long    Dim numEls As Long    ' account for optional arguments    If IsMissing(lastEl) Then lastEl = UBound(arr)    firstEl = LBound(arr)        numEls = lastEl - firstEl + 1    ' find the best value for distance    Do        distance = distance * 3 + 1    Loop Until distance > numEls    Do        distance = distance  3        For index = distance + firstEl To lastEl            value = arr(index)            index2 = index            Do While (arr(index2 - distance) > value) Xor descending                arr(index2) = arr(index2 - distance)                index2 = index2 - distance                If index2 - distance < firstEl Then Exit Do            Loop            arr(index2) = value        Next    Loop Until distance = 1End Sub

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