Arrays.bas

Attribute VB_Name = "Arrays"
Option Compare Text
Option Explicit
Option Base 0
'''''''''''''''''''''''''''
' Error Number Constants
'''''''''''''''''''''''''''
Private Const C_ERR_NO_ERROR = 0&
Private Const C_ERR_SUBSCRIPT_OUT_OF_RANGE = 9&
Private Const C_ERR_ARRAY_IS_FIXED_OR_LOCKED = 10&


' @description Performs a binary search for the target value. The input array must be sorted to perform binary search.
' @param A a pre-sorted, 1-dimensional array. This array can be in descending order if the `descending` parameter is also set to TRUE; otherwise, A must be sorted in ascending order.
' @param descending (Optional) default to FALSE indicating the array is sorted in ascending order. Use TRUE to indicate array is sorted in ascending order.
' @return returns True if the array contains the target value, returns false otherwise
Public Function binarySearch(A As Variant, target As Variant, Optional descending As Boolean = False) As Boolean
    Debug.Assert Arrays.IsArraySorted(A, descending)

    Dim min As Long, max As Long, guess As Long
    min = LBound(A)
    max = UBound(A)
    
    Do While min <= max
        
        guess = min + ((max - min) / 2)
        
        If A(guess) = target Then
            binarySearch = guess
            Exit Function
        End If
        
        If descending Then
            If A(guess) < target Then
                max = guess - 1
            Else
                min = guess + 1
            End If
        Else
            If A(guess) < target Then
                min = guess + 1
            Else
                max = guess - 1
            End If
        End If
    Loop
    
End Function


' @description Sorts A in-place using a simple sorting algorithm that builds the final sorted array one item at a time. It provides several advantages: it is efficient for (quite) small data sets and those that are substantially sorted (the time complexity is O(nk) when each element in the input is no more than k places away from its sorted position). See https://en.wikipedia.org/wiki/Insertion_sort for more information
' @param A a 1-dimensional array
' @return returns the sorted array A
Public Function insertionSort(A As Variant) As Variant
    Debug.Assert NumberOfArrayDimensions(A) = 1
    
    Dim i As Long, j As Long, lb As Long, ub As Long, length As Long, x As Variant
    lb = LBound(A)
    ub = UBound(A)
    length = ub - lb + 1
    
    i = lb + 1
    Do While i < ub
        x = A(i)
        j = i - 1
        While j >= lb And A(j) > x
            A(j + 1) = A(j)
            j = j - 1
            If j < lb Then
                GoTo end_of_while
            End If
        Wend
end_of_while:
        A(j + 1) = x
        i = i + 1
    Loop
    insertionSort = A
End Function

'Private Sub speedTestDemo()
'    Dim blah As Variant, i As Long, j As Long, run As Long, t As Timer, numRuns As Long, size As Long
'    numRuns = 50
'    size = 500
'    ReDim blah(size)
'    Set t = New Timer
'    t.StartCounter
'    For run = 1 To numRuns
'        For i = 0 To size
'            blah(i) = Rnd()
'        Next i
'
'        Arrays.mergeSort blah
'
'        For i = 1 To size
'            If blah(i) < blah(i - 1) Then
'                Debug.Print "FAIL! on run:" & run
'                For j = 0 To size
'                    Debug.Print blah(j)
'                Next j
'                Exit Sub
'            End If
'        Next i
'    Next run
'    Debug.Print "done! " & Now() & " time elapsed: " & t.TimeElapsed / numRuns
'
'End Sub

' @description Sorts and returns the array using the MergeSort algorithm (follows the pseudocode on Wikipedia). Performs sort in O(n*log(n)) time using O(n) space.
' @param A a 1-dimensional array
' @return returns the array A after sorting its elements in-place
Public Function mergeSort(ByRef A As Variant) As Variant
    Debug.Assert NumberOfArrayDimensions(A) = 1
    
    Dim B() As Variant
    ReDim B(LBound(A) To UBound(A))
    MergeSort_TopDownSplitMerge A, LBound(A), UBound(A), B
    mergeSort = A
End Function

'Used by MergeSortAlgorithm
Private Sub MergeSort_TopDownSplitMerge(ByRef A As Variant, iBegin As Long, iEnd As Long, ByRef B As Variant)
    Dim temp As Variant
    
    If iEnd = iBegin Then ' if run size = 1
        Exit Sub ' consider it sorted
    End If
    
    If iEnd - iBegin = 1 Then 'if there are 2 exatly elements
        If A(iEnd) < A(iBegin) Then 'swap them if they are out of order
            temp = A(iEnd)
            A(iEnd) = A(iBegin)
            A(iBegin) = temp
        End If
        Exit Sub
    End If
    
    ' recursively split runs into two halves until run size = 1
    ' then merge them and return back up the call chain
    Dim iMiddle As Long
    iMiddle = (iEnd + iBegin) / 2 ' iMiddle = mid point
    MergeSort_TopDownSplitMerge A, iBegin, iMiddle, B 'split-merge left half
    MergeSort_TopDownSplitMerge A, iMiddle, iEnd, B ' split-merge right half
    MergeSort_TopDownMerge A, iBegin, iMiddle, iEnd, B ' merge the two half runs
    MergeSort_Copy B, iBegin, A, iBegin, iEnd - iBegin 'copy the merged runs back to A
End Sub

'Used by MergeSort algirtm
Private Sub MergeSort_TopDownMerge(ByRef A As Variant, iBegin As Long, iMiddle As Long, iEnd As Long, ByRef B As Variant)
    'left half is A[iBegin:iMiddle-1]
    'right half is A[iMiddle:iEnd-1]
    Dim i As Long
    Dim j As Long
    Dim k As Long
    
    i = iBegin
    j = iMiddle
    
    'while there are elements in the left or right runs...
    For k = iBegin To iEnd Step 1
        'If left run head exists and is <= existing right run head.
        
        If i < iMiddle And (j >= iEnd Or A(i) <= A(j)) Then
            B(k) = A(i)
            i = i + 1
        Else
            B(k) = A(j)
            j = j + 1
        End If
       
        i = i + 1
    Loop
    
End Sub

'Used by mergesort algorithm
Private Sub MergeSort_Copy(ByRef src As Variant, srcPos As Long, ByRef dst As Variant, dstPos As Long, length As Long)
    
    Dim i As Long
    i = 0
    'copy src elements to dst
    Do While length > i
        dst(dstPos + i) = src(srcPos + i)
        i = i + 1
    Loop
    
End Sub

'Cleanly prints arrays with up to 3 dimensions
Public Function toString(Arr) As String
    
    Dim slice As Variant, A As Application, dimCount As Long, i As Long, j As Long, k As Long, L As Long, ub1 As Long, ub2 As Long, ub3 As Long, lb1 As Long, lb2 As Long, lb3 As Long
    dimCount = NumberOfArrayDimensions(Arr)
    Debug.Assert dimCount <= 3 And dimCount > 0
       
    Set A = Application
    
    If dimCount = 1 Then
        toString = "[" & Join(Arr, ", ") & "]"
    ElseIf dimCount = 2 Then
        toString = "["
        lb1 = LBound(Arr, 1)
        ub1 = UBound(Arr, 1)
        For i = lb1 To ub1
            slice = A.index(Arr, i, 0)
            toString = toString & vbCrLf & "[" & Join(slice, ", ") & "] "
        Next i
        toString = toString & "]"
    
    ElseIf dimCount = 3 Then
        

        lb1 = LBound(Arr, 1)
        ub1 = UBound(Arr, 1)
        lb2 = LBound(Arr, 2)
        ub2 = UBound(Arr, 2)
        lb3 = LBound(Arr, 3)
        ub3 = UBound(Arr, 3)
        toString = "["
        For i = lb1 To ub1
            toString = toString & "["
            For j = lb2 To ub2
                toString = toString & "["
                For k = lb3 To ub3
                    toString = toString & Arr(i, j, k) & " "
                Next k
                toString = Trim(toString) & "] "
            Next j
            toString = Trim(toString) & "] "
        Next i
        toString = Trim(toString) & "] "
    End If
    
    
    
End Function


'The following code was provided by Chip Pearson and is available at http://www.cpearson.com/excel/VBAArrays.htm
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
' modArraySupport
' By Chip Pearson, chip@cpearson.com, www.cpearson.com
'
' This module contains procedures that provide information about and manipulate
' VB/VBA arrays.
'
' For details on these functions, see www.cpearson.com/excel/VBAArrays.htm
'
' This module contains the following functions:
'       AreDataTypesCompatible
'       ChangeBoundsOfArray
'       CompareArrays
'       ConcatenateArrays
'       CopyArray
'       CopyArraySubSetToArray
'       CopyNonNothingObjectsToArray
'       DataTypeOfArray
'       DeleteArrayElement
'       FirstNonEmptyStringIndexInArray
'       InsertElementIntoArray
'       IsArrayAllDefault
'       IsArrayAllNumeric
'       IsArrayAllocated
'       IsArrayDynamic
'       IsArrayEmpty
'       IsArrayObjects
'       IsNumericDataType
'       IsVariantArrayConsistent
'       IsVariantArrayNumeric
'       MoveEmptyStringsToEndOfArray
'       NumberOfArrayDimensions
'       NumElements
'       ResetVariantArrayToDefaults
'       ReverseArrayInPlace
'       ReverseArrayOfObjectsInPlace
'       SetObjectArrayToNothing
'       SetVariableToDefault
'       TransposeArray
'       VectorsToArray
'
' Function documentation is in each function.
'
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

Public Function ChangeBoundsOfArray(InputArr As Variant, _
    NewLowerBound As Long, NewUpperBound) As Boolean
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' ChangeBoundsOfArray
    ' This function changes the lower and upper bounds of the specified
    ' array. InputArr MUST be a single-dimensional, dynamic, allocated array.
    ' If the new size of the array (NewUpperBound - NewLowerBound + 1)
    ' is greater than the original array, the unused elements on
    ' right side of the new array are the default values for the data type
    ' of the array. If the new size is less than the original size,
    ' only the first (left-most) N elements are included in the new array.
    ' The elements of the array may be simple variables (Strings, Longs, etc)
    ' Objects, or Arrays. User-Defined Types are not supported.
    '
    ' The function returns True if successful, False otherwise.
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    
    Dim TempArr() As Variant
    Dim InNdx As Long
    Dim OutNdx As Long
    Dim TempNdx As Long
    Dim FirstIsObject As Boolean
    
    ''''''''''''''''''''''''''''''''''''
    ' Ensure we have an array.
    ''''''''''''''''''''''''''''''''''''
    If IsArray(InputArr) = False Then
        ChangeBoundsOfArray = False
        Exit Function
    End If
    ''''''''''''''''''''''''''''''''''''
    ' Ensure the array is dynamic.
    ''''''''''''''''''''''''''''''''''''
    If IsArrayDynamic(InputArr) = False Then
        ChangeBoundsOfArray = False
        Exit Function
    End If
    ''''''''''''''''''''''''''''''''''''
    ' Ensure the array is allocated.
    ''''''''''''''''''''''''''''''''''''
    If IsArrayAllocated(InputArr) = False Then
        ChangeBoundsOfArray = False
        Exit Function
    End If
    '''''''''''''''''''''''''''''''''''''''''''
    ' Ensure the NewLowerBound > NewUpperBound.
    '''''''''''''''''''''''''''''''''''''''''''
    If NewLowerBound > NewUpperBound Then
        ChangeBoundsOfArray = False
        Exit Function
    End If
    ''''''''''''''''''''''''''''''''''''''''''''
    ' Ensure Arr is a single dimensional array.
    '''''''''''''''''''''''''''''''''''''''''''
    If NumberOfArrayDimensions(InputArr) <> 1 Then
        ChangeBoundsOfArray = False
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' We need to save the IsObject status of the first
    ' element of the InputArr to properly handle
    ' the Empty variables is we are making the array
    ' larger than it was before.
    '''''''''''''''''''''''''''''''''''''''''''''''''''
    FirstIsObject = IsObject(InputArr(LBound(InputArr)))
    
    
    ''''''''''''''''''''''''''''''''''''''''''''
    ' Resize TempArr and save the values in
    ' InputArr in TempArr. TempArr will have
    ' an LBound of 1 and a UBound of the size
    ' of (NewUpperBound - NewLowerBound +1)
    '''''''''''''''''''''''''''''''''''''''''''
    ReDim TempArr(1 To (NewUpperBound - NewLowerBound + 1))
    '''''''''''''''''''''''''''''''''''''''''''
    ' Load up TempArr
    '''''''''''''''''''''''''''''''''''''''''''
    TempNdx = 0
    For InNdx = LBound(InputArr) To UBound(InputArr)
        TempNdx = TempNdx + 1
        If TempNdx > UBound(TempArr) Then
            Exit For
        End If
       
        If (IsObject(InputArr(InNdx)) = True) Then
            If InputArr(InNdx) Is Nothing Then
                Set TempArr(TempNdx) = Nothing
            Else
                Set TempArr(TempNdx) = InputArr(InNdx)
            End If
        Else
            TempArr(TempNdx) = InputArr(InNdx)
        End If
    Next InNdx
    
    ''''''''''''''''''''''''''''''''''''
    ' Now, Erase InputArr, resize it to the
    ' new bounds, and load up the values from
    ' TempArr to the new InputArr.
    ''''''''''''''''''''''''''''''''''''
    Erase InputArr
    ReDim InputArr(NewLowerBound To NewUpperBound)
    OutNdx = LBound(InputArr)
    For TempNdx = LBound(TempArr) To UBound(TempArr)
        If OutNdx <= UBound(InputArr) Then
            If IsObject(TempArr(TempNdx)) = True Then
                Set InputArr(OutNdx) = TempArr(TempNdx)
            Else
                If FirstIsObject = True Then
                    If isEmpty(TempArr(TempNdx)) = True Then
                        Set InputArr(OutNdx) = Nothing
                    Else
                        Set InputArr(OutNdx) = TempArr(TempNdx)
                    End If
                Else
                    InputArr(OutNdx) = TempArr(TempNdx)
                End If
            End If
        Else
            Exit For
        End If
        OutNdx = OutNdx + 1
    Next TempNdx
    
    '''''''''''''''''''''''''''''
    ' Success -- Return True
    '''''''''''''''''''''''''''''
    ChangeBoundsOfArray = True

End Function


Public Function CompareArrays(Array1 As Variant, Array2 As Variant, _
    ResultArray As Variant, Optional CompareMode As VbCompareMethod = vbTextCompare) As Boolean
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' CompareArrays
    ' This function compares two arrays, Array1 and Array2, element by element, and puts the results of
    ' the comparisons in ResultArray. Each element of ResultArray will be -1, 0, or +1. A -1 indicates that
    ' the element in Array1 was less than the corresponding element in Array2. A 0 indicates that the
    ' elements are equal, and +1 indicates that the element in Array1 is greater than Array2. Both
    ' Array1 and Array2 must be allocated single-dimensional arrays, and ResultArray must be dynamic array
    ' of a numeric data type (typically Longs). Array1 and Array2 must contain the same number of elements,
    ' and have the same lower bound. The LBound of ResultArray will be the same as the data arrays.
    '
    ' An error will occur if Array1 or Array2 contains an Object or User Defined Type.
    '
    ' When comparing elements, the procedure does the following:
    ' If both elements are numeric data types, they are compared arithmetically.
    
    ' If one element is a numeric data type and the other is a string and that string is numeric,
    ' then both elements are converted to Doubles and compared arithmetically. If the string is not
    ' numeric, both elements are converted to strings and compared using StrComp, with the
    ' compare mode set by CompareMode.
    '
    ' If both elements are numeric strings, they are converted to Doubles and compared arithmetically.
    '
    ' If either element is not a numeric string, the elements are converted and compared with StrComp.
    '
    '
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    
    Dim Ndx1 As Long
    Dim Ndx2 As Long
    Dim ResNdx As Long
    Dim S1 As String
    Dim S2 As String
    Dim D1 As Double
    Dim D2 As Double
    Dim Done As Boolean
    Dim Compare As VbCompareMethod
    Dim lb As Long
    
    ''''''''''''''''''''''''''''''''''''
    ' Set the default return value.
    ''''''''''''''''''''''''''''''''''''
    CompareArrays = False
    
    ''''''''''''''''''''''''''''''''''''
    ' Ensure we have a Compare mode
    ' value.
    ''''''''''''''''''''''''''''''''''''
    If CompareMode = vbBinaryCompare Then
        Compare = vbBinaryCompare
    Else
        Compare = vbTextCompare
    End If
    
    
    ''''''''''''''''''''''''''''''''''''
    ' Ensure we have arrays.
    ''''''''''''''''''''''''''''''''''''
    If IsArray(Array1) = False Then
        Exit Function
    End If
    If IsArray(Array2) = False Then
        Exit Function
    End If
    If IsArray(ResultArray) = False Then
        Exit Function
    End If
    
    '''''''''''''''''''''''''''''''''''
    ' Ensure ResultArray is dynamic
    '''''''''''''''''''''''''''''''''''
    If IsArrayDynamic(Arr:=ResultArray) = False Then
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''''''''
    ' Ensure the arrays are single-dimensional.
    ''''''''''''''''''''''''''''''''''''''''''
    If NumberOfArrayDimensions(Arr:=Array1) <> 1 Then
        Exit Function
    End If
    If NumberOfArrayDimensions(Arr:=Array2) <> 1 Then
        Exit Function
    End If
    If NumberOfArrayDimensions(Arr:=Array1) > 1 Then 'allow 0 indicating non-allocated array
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''''''''
    ' Ensure the LBounds are the same
    ''''''''''''''''''''''''''''''''''''''''''
    If LBound(Array1) <> LBound(Array2) Then
        Exit Function
    End If
       
    
    ''''''''''''''''''''''''''''''''''''''''''
    ' Ensure the arrays are the same size.
    ''''''''''''''''''''''''''''''''''''''''''
    If (UBound(Array1) - LBound(Array1)) <> (UBound(Array2) - LBound(Array2)) Then
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''''''''''''
    ' Redim ResultArray to the numbr of elements
    ' in Array1.
    ''''''''''''''''''''''''''''''''''''''''''''''
    ReDim ResultArray(LBound(Array1) To UBound(Array1))
    
    Ndx1 = LBound(Array1)
    Ndx2 = LBound(Array2)
    
    ''''''''''''''''''''''''''''''''''''''''''''''
    ' Scan each array to see if it contains objects
    ' or User-Defined Types. If found, exit with
    ' False.
    ''''''''''''''''''''''''''''''''''''''''''''''
    For Ndx1 = LBound(Array1) To UBound(Array1)
        If IsObject(Array1(Ndx1)) = True Then
            Exit Function
        End If
        If VarType(Array1(Ndx1)) >= vbArray Then
            Exit Function
        End If
        If VarType(Array1(Ndx1)) = vbUserDefinedType Then
            Exit Function
        End If
    Next Ndx1
    
    For Ndx1 = LBound(Array2) To UBound(Array2)
        If IsObject(Array2(Ndx1)) = True Then
            Exit Function
        End If
        If VarType(Array2(Ndx1)) >= vbArray Then
            Exit Function
        End If
        If VarType(Array2(Ndx1)) = vbUserDefinedType Then
            Exit Function
        End If
    Next Ndx1
    
    Ndx1 = LBound(Array1)
    Ndx2 = Ndx1
    ResNdx = LBound(ResultArray)
    Done = False
    Do Until Done = True
    ''''''''''''''''''''''''''''''''''''
    ' Loop until we reach the end of
    ' the array.
    ''''''''''''''''''''''''''''''''''''
        If IsNumeric(Array1(Ndx1)) = True And IsNumeric(Array2(Ndx2)) Then
            D1 = CDbl(Array1(Ndx1))
            D2 = CDbl(Array2(Ndx2))
            If D1 = D2 Then
                ResultArray(ResNdx) = 0
            ElseIf D1 < D2 Then
                ResultArray(ResNdx) = -1
            Else
                ResultArray(ResNdx) = 1
            End If
        Else
            S1 = CStr(Array1(Ndx1))
            S2 = CStr(Array2(Ndx1))
            ResultArray(ResNdx) = StrComp(S1, S2, Compare)
        End If
           
        ResNdx = ResNdx + 1
        Ndx1 = Ndx1 + 1
        Ndx2 = Ndx2 + 1
        ''''''''''''''''''''''''''''''''''''''''
        ' If Ndx1 is greater than UBound(Array1)
        ' we've hit the end of the arrays.
        ''''''''''''''''''''''''''''''''''''''''
        If Ndx1 > UBound(Array1) Then
            Done = True
        End If
    Loop
    
    CompareArrays = True
End Function



Public Function ConcatenateArrays(ResultArray As Variant, ArrayToAppend As Variant, _
        Optional NoCompatabilityCheck As Boolean = False) As Boolean
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' ConcatenateArrays
    ' This function appends ArrayToAppend to the end of ResultArray, increasing the size of ResultArray
    ' as needed. ResultArray must be a dynamic array, but it need not be allocated. ArrayToAppend
    ' may be either static or dynamic, and if dynamic it may be unallocted. If ArrayToAppend is
    ' unallocated, ResultArray is left unchanged.
    '
    ' The data types of ResultArray and ArrayToAppend must be either the same data type or
    ' compatible numeric types. A compatible numeric type is a type that will not cause a loss of
    ' precision or cause an overflow. For example, ReturnArray may be Longs, and ArrayToAppend amy
    ' by Longs or Integers, but not Single or Doubles because information might be lost when
    ' converting from Double to Long (the decimal portion would be lost). To skip the compatability
    ' check and allow any variable type in ResultArray and ArrayToAppend, set the NoCompatabilityCheck
    ' parameter to True. If you do this, be aware that you may loose precision and you may will
    ' get an overflow error which will cause a result of 0 in that element of ResultArra.
    '
    ' Both ReaultArray and ArrayToAppend must be one-dimensional arrays.
    '
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    
    Dim VTypeResult As VbVarType
    Dim Ndx As Long
    Dim Res As Long
    Dim NumElementsToAdd As Long
    Dim AppendNdx As Long
    Dim VTypeAppend As VbVarType
    Dim ResultLB As Long
    Dim ResultUB As Long
    Dim ResultWasAllocated As Boolean
    
    '''''''''''''''''''''''''''''''''
    ' Set the default result.
    ''''''''''''''''''''''''''''''''
    ConcatenateArrays = False
    
    '''''''''''''''''''''''''''''''''
    ' Ensure ResultArray is an array.
    '''''''''''''''''''''''''''''''''
    If IsArray(ResultArray) = False Then
        Exit Function
    End If
    ''''''''''''''''''''''''''''''''''
    ' Ensure ArrayToAppend is an array.
    ''''''''''''''''''''''''''''''''''
    If IsArray(ArrayToAppend) = False Then
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''
    ' Ensure both arrays are single
    ' dimensional.
    ''''''''''''''''''''''''''''''''''
    If NumberOfArrayDimensions(ResultArray) > 1 Then
        Exit Function
    End If
    If NumberOfArrayDimensions(ArrayToAppend) > 1 Then
        Exit Function
    End If
    '''''''''''''''''''''''''''''''''''
    ' Ensure ResultArray is dynamic.
    '''''''''''''''''''''''''''''''''''
    If IsArrayDynamic(Arr:=ResultArray) = False Then
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''
    ' Ensure ArrayToAppend is allocated.
    ' If ArrayToAppend is not allocated,
    ' we have nothing to append, so
    ' exit with a True result.
    ''''''''''''''''''''''''''''''''''''
    If IsArrayAllocated(Arr:=ArrayToAppend) = False Then
        ConcatenateArrays = True
        Exit Function
    End If
    
    
    If NoCompatabilityCheck = False Then
        ''''''''''''''''''''''''''''''''''''''
        ' Ensure the array are compatible
        ' data types.
        ''''''''''''''''''''''''''''''''''''''
        If AreDataTypesCompatible(DestVar:=ResultArray, SourceVar:=ArrayToAppend) = False Then
            '''''''''''''''''''''''''''''''''''''''''''
            ' The arrays are not compatible data types.
            '''''''''''''''''''''''''''''''''''''''''''
            Exit Function
        End If
       
        ''''''''''''''''''''''''''''''''''''
        ' If one array is an array of
        ' objects, ensure the other contains
        ' all objects (or Nothing)
        ''''''''''''''''''''''''''''''''''''
        If VarType(ResultArray) - vbArray = vbObject Then
            If IsArrayAllocated(ArrayToAppend) = True Then
                For Ndx = LBound(ArrayToAppend) To UBound(ArrayToAppend)
                    If IsObject(ArrayToAppend(Ndx)) = False Then
                        Exit Function
                    End If
                Next Ndx
            End If
        End If
    End If
       
       
    '''''''''''''''''''''''''''''''''''''''
    ' Get the number of elements in
    ' ArrrayToAppend
    '''''''''''''''''''''''''''''''''''''''
    NumElementsToAdd = UBound(ArrayToAppend) - LBound(ArrayToAppend) + 1
    ''''''''''''''''''''''''''''''''''''''''
    ' Get the bounds for resizing the
    ' ResultArray. If ResultArray is allocated
    ' use the LBound and UBound+1. If
    ' ResultArray is not allocated, use
    ' the LBound of ArrayToAppend for both
    ' the LBound and UBound of ResultArray.
    ''''''''''''''''''''''''''''''''''''''''
    
    If IsArrayAllocated(Arr:=ResultArray) = True Then
        ResultLB = LBound(ResultArray)
        ResultUB = UBound(ResultArray)
        ResultWasAllocated = True
        ReDim Preserve ResultArray(ResultLB To ResultUB + NumElementsToAdd)
    Else
        ResultUB = UBound(ArrayToAppend)
        ResultWasAllocated = False
        ReDim ResultArray(LBound(ArrayToAppend) To UBound(ArrayToAppend))
    End If
    
    ''''''''''''''''''''''''''''''''''''''''
    ' Copy the data from ArrayToAppend to
    ' ResultArray.
    ''''''''''''''''''''''''''''''''''''''''
    If ResultWasAllocated = True Then
        ''''''''''''''''''''''''''''''''''''''''''
        ' If ResultArray was allocated, we
        ' have to put the data from ArrayToAppend
        ' at the end of the ResultArray.
        ''''''''''''''''''''''''''''''''''''''''''
        AppendNdx = LBound(ArrayToAppend)
        For Ndx = ResultUB + 1 To UBound(ResultArray)
            If IsObject(ArrayToAppend(AppendNdx)) = True Then
                Set ResultArray(Ndx) = ArrayToAppend(AppendNdx)
            Else
                ResultArray(Ndx) = ArrayToAppend(AppendNdx)
            End If
            AppendNdx = AppendNdx + 1
            If AppendNdx > UBound(ArrayToAppend) Then
                Exit For
            End If
        Next Ndx
    Else
        ''''''''''''''''''''''''''''''''''''''''''''''
        ' If ResultArray was not allocated, we simply
        ' copy element by element from ArrayToAppend
        ' to ResultArray.
        ''''''''''''''''''''''''''''''''''''''''''''''
        For Ndx = LBound(ResultArray) To UBound(ResultArray)
            If IsObject(ArrayToAppend(Ndx)) = True Then
                Set ResultArray(Ndx) = ArrayToAppend(Ndx)
            Else
                ResultArray(Ndx) = ArrayToAppend(Ndx)
            End If
        Next Ndx
    
    End If
    '''''''''''''''''''''''
    ' Success. Return True.
    '''''''''''''''''''''''
    ConcatenateArrays = True

End Function

Public Function CopyArray(DestinationArray As Variant, SourceArray As Variant, _
        Optional NoCompatabilityCheck As Boolean = False) As Boolean
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' CopyArray
    ' This function copies the contents of SourceArray to the DestinationaArray. Both SourceArray
    ' and DestinationArray may be either static or dynamic and either or both may be unallocated.
    '
    ' If DestinationArray is dynamic, it is resized to match SourceArray. The LBound and UBound
    ' of DestinationArray will be the same as SourceArray, and all elements of SourceArray will
    ' be copied to DestinationArray.
    '
    ' If DestinationArray is static and has more elements than SourceArray, all of SourceArray
    ' is copied to DestinationArray and the right-most elements of DestinationArray are left
    ' intact.
    '
    ' If DestinationArray is static and has fewer elements that SourceArray, only the left-most
    ' elements of SourceArray are copied to fill out DestinationArray.
    '
    ' If SourceArray is an unallocated array, DestinationArray remains unchanged and the procedure
    ' terminates.
    '
    ' If both SourceArray and DestinationArray are unallocated, no changes are made to either array
    ' and the procedure terminates.
    '
    ' SourceArray may contain any type of data, including Objects and Objects that are Nothing
    ' (the procedure does not support arrays of User Defined Types since these cannot be coerced
    ' to Variants -- use classes instead of types).
    '
    ' The function tests to ensure that the data types of the arrays are the same or are compatible.
    ' See the function AreDataTypesCompatible for information about compatible data types. To skip
    ' this compability checking, set the NoCompatabilityCheck parameter to True. Note that you may
    ' lose information during data conversion (e.g., losing decimal places when converting a Double
    ' to a Long) or you may get an overflow (storing a Long in an Integer) which will result in that
    ' element in DestinationArray having a value of 0.
    '
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    Dim VTypeSource As VbVarType
    Dim VTypeDest As VbVarType
    Dim SNdx As Long
    Dim DNdx As Long
    
    
    '''''''''''''''''''''''''''''''
    ' Set the default return value.
    '''''''''''''''''''''''''''''''
    CopyArray = False
    
    ''''''''''''''''''''''''''''''''''
    ' Ensure both DestinationArray and
    ' SourceArray are arrays.
    ''''''''''''''''''''''''''''''''''
    If IsArray(DestinationArray) = False Then
        Exit Function
    End If
    If IsArray(SourceArray) = False Then
        Exit Function
    End If
    
    '''''''''''''''''''''''''''''''''''''
    ' Ensure DestinationArray and
    ' SourceArray are single-dimensional.
    ' 0 indicates an unallocated array,
    ' which is allowed.
    '''''''''''''''''''''''''''''''''''''
    If NumberOfArrayDimensions(Arr:=SourceArray) > 1 Then
        Exit Function
    End If
    If NumberOfArrayDimensions(Arr:=DestinationArray) > 1 Then
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''
    ' If SourceArray is not allocated,
    ' leave DestinationArray intact and
    ' return a result of True.
    ''''''''''''''''''''''''''''''''''''
    If IsArrayAllocated(Arr:=SourceArray) = False Then
        CopyArray = True
        Exit Function
    End If
    
    If NoCompatabilityCheck = False Then
        ''''''''''''''''''''''''''''''''''''''
        ' Ensure both arrays are the same
        ' type or compatible data types. See
        ' the function AreDataTypesCompatible
        ' for information about compatible
        ' types.
        ''''''''''''''''''''''''''''''''''''''
        If AreDataTypesCompatible(DestVar:=DestinationArray, SourceVar:=SourceArray) = False Then
            CopyArray = False
            Exit Function
        End If
        ''''''''''''''''''''''''''''''''''''
        ' If one array is an array of
        ' objects, ensure the other contains
        ' all objects (or Nothing)
        ''''''''''''''''''''''''''''''''''''
        If VarType(DestinationArray) - vbArray = vbObject Then
            If IsArrayAllocated(SourceArray) = True Then
                For SNdx = LBound(SourceArray) To UBound(SourceArray)
                    If IsObject(SourceArray(SNdx)) = False Then
                        Exit Function
                    End If
                Next SNdx
            End If
        End If
    End If
    
    If IsArrayAllocated(Arr:=DestinationArray) = True Then
        If IsArrayAllocated(Arr:=SourceArray) = True Then
            '''''''''''''''''''''''''''''''''''''''''''''''''
            ' If both arrays are allocated, copy from
            ' SourceArray to DestinationArray. If
            ' SourceArray is smaller that DesetinationArray,
            ' the right-most elements of DestinationArray
            ' are left unchanged. If SourceArray is larger
            ' than DestinationArray, the right most elements
            ' of SourceArray are not copied.
            ''''''''''''''''''''''''''''''''''''''''''''''''''''
            DNdx = LBound(DestinationArray)
            On Error Resume Next
            For SNdx = LBound(SourceArray) To UBound(SourceArray)
                If IsObject(SourceArray(SNdx)) = True Then
                    Set DestinationArray(DNdx) = SourceArray(DNdx)
                Else
                    DestinationArray(DNdx) = SourceArray(DNdx)
                End If
                DNdx = DNdx + 1
                If DNdx > UBound(DestinationArray) Then
                    Exit For
                End If
            Next SNdx
            On Error GoTo 0
        Else
            '''''''''''''''''''''''''''''''''''''''''''''''
            ' If SourceArray is not allocated, so we have
            ' nothing to copy. Exit with a result
            ' of True. Leave DestinationArray intact.
            '''''''''''''''''''''''''''''''''''''''''''''''
            CopyArray = True
            Exit Function
        End If
           
    Else
        If IsArrayAllocated(Arr:=SourceArray) = True Then
            ''''''''''''''''''''''''''''''''''''''''''''''''''''
            ' If Destination array is not allocated and
            ' SourceArray is allocated, Redim DestinationArray
            ' to the same size as SourceArray and copy
            ' the elements from SourceArray to DestinationArray.
            ''''''''''''''''''''''''''''''''''''''''''''''''''''
            On Error Resume Next
            ReDim DestinationArray(LBound(SourceArray) To UBound(SourceArray))
            For SNdx = LBound(SourceArray) To UBound(SourceArray)
                If IsObject(SourceArray(SNdx)) = True Then
                    Set DestinationArray(SNdx) = SourceArray(SNdx)
                Else
                    DestinationArray(SNdx) = SourceArray(SNdx)
                End If
            Next SNdx
            On Error GoTo 0
        Else
            ''''''''''''''''''''''''''''''''''''''''''''''''''''
            ' If both SourceArray and DestinationArray are
            ' unallocated, we have nothing to copy (this condition
            ' is actually detected above, but included here
            ' for consistancy), so get out with a result of True.
            ''''''''''''''''''''''''''''''''''''''''''''''''''''
            CopyArray = True
            Exit Function
        End If
    End If
    
    '''''''''''''''''''''''
    ' Success. Return True.
    '''''''''''''''''''''''
    CopyArray = True

End Function



Public Function CopyArraySubSetToArray(InputArray As Variant, ResultArray As Variant, _
    FirstElementToCopy As Long, LastElementToCopy As Long, DestinationElement As Long) As Boolean
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' CopyArraySubSetToArray
    ' This function copies elements of InputArray to ResultArray. It takes the elements
    ' from FirstElementToCopy to LastElementToCopy (inclusive) from InputArray and
    ' copies them to ResultArray, starting at DestinationElement. Existing data in
    ' ResultArray will be overwrittten. If ResultArray is a dynamic array, it will
    ' be resized if needed. If ResultArray is a static array and it is not large
    ' enough to copy all the elements, no elements are copied and the function
    ' returns False.
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
       
    Dim SrcNdx As Long
    Dim DestNdx As Long
    Dim NumElementsToCopy As Long
    
    '''''''''''''''''''''''''''''''''''''''''
    ' Set the default return value.
    '''''''''''''''''''''''''''''''''''''''''
    CopyArraySubSetToArray = False
    
    ''''''''''''''''''''''''''''''''''''''''''
    ' Ensure InputArray and ResultArray are
    ' arrays.
    ''''''''''''''''''''''''''''''''''''''''''
    If IsArray(InputArray) = False Then
        Exit Function
    End If
    If IsArray(ResultArray) = False Then
        Exit Function
    End If
    '''''''''''''''''''''''''''''''''''''''''''
    ' Ensure InputArray is single dimensional.
    '''''''''''''''''''''''''''''''''''''''''''
    If NumberOfArrayDimensions(Arr:=InputArray) <> 1 Then
        Exit Function
    End If
    '''''''''''''''''''''''''''''''''''''''''''
    ' Ensure ResultArray is unallocated or
    ' single dimensional.
    '''''''''''''''''''''''''''''''''''''''''''
    If NumberOfArrayDimensions(Arr:=ResultArray) > 1 Then
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''''''''''
    ' Ensure the bounds and indexes are valid.
    ''''''''''''''''''''''''''''''''''''''''''''
    If FirstElementToCopy < LBound(InputArray) Then
        Exit Function
    End If
    If LastElementToCopy > UBound(InputArray) Then
       Exit Function
    End If
    If FirstElementToCopy > LastElementToCopy Then
        Exit Function
    End If
    
    '''''''''''''''''''''''''''''''''''''''''
    ' Calc the number of elements we'll copy
    ' from InputArray to ResultArray.
    '''''''''''''''''''''''''''''''''''''''''
    NumElementsToCopy = LastElementToCopy - FirstElementToCopy + 1
    
    If IsArrayDynamic(Arr:=ResultArray) = False Then
        If (DestinationElement + NumElementsToCopy - 1) > UBound(ResultArray) Then
            '''''''''''''''''''''''''''''''''''''''''''''
            ' ResultArray is static and can't be resized.
            ' There is not enough room in the array to
            ' copy all the data.
            '''''''''''''''''''''''''''''''''''''''''''''
            Exit Function
        End If
    Else
        ''''''''''''''''''''''''''''''''''''''''''''
        ' ResultArray is dynamic and can be resized.
        ' Test whether we need to resize the array,
        ' and resize it if required.
        '''''''''''''''''''''''''''''''''''''''''''''
        If IsArrayEmpty(Arr:=ResultArray) = True Then
            '''''''''''''''''''''''''''''''''''''''
            ' ResultArray is unallocated. Resize it
            ' to DestinationElement + NumElementsToCopy - 1.
            ' This provides empty elements to the left
            ' of the DestinationElement and room to
            ' copy NumElementsToCopy.
            '''''''''''''''''''''''''''''''''''''''''
            ReDim ResultArray(1 To DestinationElement + NumElementsToCopy - 1)
        Else
            '''''''''''''''''''''''''''''''''''''''''''''''''
            ' ResultArray is allocated. If there isn't room
            ' enough in ResultArray to hold NumElementsToCopy
            ' starting at DestinationElement, we need to
            ' resize the array.
            '''''''''''''''''''''''''''''''''''''''''''''''''
            If (DestinationElement + NumElementsToCopy - 1) > UBound(ResultArray) Then
                If DestinationElement + NumElementsToCopy > UBound(ResultArray) Then
                    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
                    ' Resize the ResultArray.
                    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
                    If NumElementsToCopy + DestinationElement > UBound(ResultArray) Then
                        ReDim Preserve ResultArray(LBound(ResultArray) To UBound(ResultArray) + DestinationElement - 1)
                    Else
                        ReDim Preserve ResultArray(LBound(ResultArray) To UBound(ResultArray) + NumElementsToCopy)
                    End If
                Else
                    ''''''''''''''''''''''''''''''''''''''''''''
                    ' Resize the array to hold NumElementsToCopy
                    ' starting at DestinationElement.
                    ''''''''''''''''''''''''''''''''''''''''''''
                    ReDim Preserve ResultArray(LBound(ResultArray) To UBound(ResultArray) + NumElementsToCopy - DestinationElement + 2)
                End If
            Else
                ''''''''''''''''''''''''''''''''''''''''''''''''''''''
                ' The ResultArray is large enough to hold
                ' NumberOfElementToCopy starting at DestinationElement.
                ' No need to resize the array.
                ''''''''''''''''''''''''''''''''''''''''''''''''''''''''
            End If
        End If
    End If
    
    
    '''''''''''''''''''''''''''''''''''''''''''''''''''
    ' Copy the elements from InputArray to ResultArray
    ' Note that there is no type compatibility checking
    ' when copying the elements.
    '''''''''''''''''''''''''''''''''''''''''''''''''''
    DestNdx = DestinationElement
    For SrcNdx = FirstElementToCopy To LastElementToCopy
        If IsObject(InputArray(SrcNdx)) = True Then
            Set ResultArray(DestNdx) = InputArray(DestNdx)
        Else
            On Error Resume Next
            ResultArray(DestNdx) = InputArray(SrcNdx)
            On Error GoTo 0
        End If
        DestNdx = DestNdx + 1
    Next SrcNdx
       
    CopyArraySubSetToArray = True
   
End Function



Public Function CopyNonNothingObjectsToArray(ByRef SourceArray As Variant, _
    ByRef ResultArray As Variant, Optional NoAlerts As Boolean = False) As Boolean
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' CopyNonNothingObjectsToArray
    ' This function copies all objects that are not Nothing from SourceArray
    ' to ResultArray. ResultArray MUST be a dynamic array of type Object or Variant.
    ' E.g.,
    '       Dim ResultArray() As Object ' Or
    '       Dim ResultArray() as Variant
    '
    ' ResultArray will be Erased and then resized to hold the non-Nothing elements
    ' from SourceArray. The LBound of ResultArray will be the same as the LBound
    ' of SourceArray, regardless of what its LBound was prior to calling this
    ' procedure.
    '
    ' This function returns True if the operation was successful or False if an
    ' an error occurs. If an error occurs, a message box is displayed indicating
    ' the error. To suppress the message boxes, set the NoAlerts parameter to
    ' True.
    '
    ' This function uses the following procedures. They are declared as Private
    ' procedures at the end of this module.
    '       IsArrayDynamic
    '       IsArrayEmpty
    '       NumberOfArrayDimensions
    '
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    Dim ResNdx As Long
    Dim InNdx  As Long
    
    '''''''''''''''''''''''''''''''''
    ' Set the default return value.
    '''''''''''''''''''''''''''''''''
    CopyNonNothingObjectsToArray = False
    
    '''''''''''''''''''''''''''''''''''
    ' Ensure SourceArray is an array.
    '''''''''''''''''''''''''''''''''''
    If IsArray(SourceArray) = False Then
        If NoAlerts = False Then
            MsgBox "SourceArray is not an array."
        End If
        Exit Function
    End If
    '''''''''''''''''''''''''''''''''''
    ' Ensure SourceArray is a single
    ' dimensional array.
    '''''''''''''''''''''''''''''''''''
    Select Case NumberOfArrayDimensions(Arr:=SourceArray)
        Case 0
            '''''''''''''''''''''''''''''
            ' Unallocated dynamic array.
            ' Not Allowed.
            '''''''''''''''''''''''''''''
            If NoAlerts = False Then
                MsgBox "SourceArray is an unallocated array."
            End If
            Exit Function
           
        Case 1
            '''''''''''''''''''''''''''''
            ' Single-dimensional array.
            ' This is OK.
            '''''''''''''''''''''''''''''
        Case Else
            '''''''''''''''''''''''''''''
            ' Multi-dimensional array.
            ' This is not allowed.
            '''''''''''''''''''''''''''''
            If NoAlerts = False Then
                MsgBox "SourceArray is a multi-dimensional array. This is not allowed."
            End If
            Exit Function
    End Select
    '''''''''''''''''''''''''''''''''''
    ' Ensure ResultArray is an array.
    '''''''''''''''''''''''''''''''''''
    If IsArray(ResultArray) = False Then
        If NoAlerts = False Then
            MsgBox "ResultArray is not an array."
        End If
        Exit Function
    End If
    '''''''''''''''''''''''''''''''''''
    ' Ensure ResultArray is an dynamic.
    '''''''''''''''''''''''''''''''''''
    If IsArrayDynamic(Arr:=ResultArray) = False Then
        If NoAlerts = False Then
            MsgBox "ResultArray is not a dynamic array."
        End If
        Exit Function
    End If
    '''''''''''''''''''''''''''''''''''
    ' Ensure ResultArray is a single
    ' dimensional array.
    '''''''''''''''''''''''''''''''''''
    Select Case NumberOfArrayDimensions(Arr:=ResultArray)
        Case 0
            '''''''''''''''''''''''''''''
            ' Unallocated dynamic array.
            ' This is OK.
            '''''''''''''''''''''''''''''
        Case 1
            '''''''''''''''''''''''''''''
            ' Single-dimensional array.
            ' This is OK.
            '''''''''''''''''''''''''''''
        Case Else
            '''''''''''''''''''''''''''''
            ' Multi-dimensional array.
            ' This is not allowed.
            '''''''''''''''''''''''''''''
            If NoAlerts = False Then
                MsgBox "SourceArray is a multi-dimensional array. This is not allowed."
            End If
            Exit Function
    End Select
    
    '''''''''''''''''''''''''''''''''
    ' Ensure that all the elements of
    ' SourceArray are in fact objects.
    '''''''''''''''''''''''''''''''''
    For InNdx = LBound(SourceArray) To UBound(SourceArray)
        If IsObject(SourceArray(InNdx)) = False Then
            If NoAlerts = False Then
                MsgBox "Element " & CStr(InNdx) & " of SourceArray is not an object."
            End If
            Exit Function
        End If
    Next InNdx
    
    ''''''''''''''''''''''''''''''
    ' Erase the ResultArray. Since
    ' ResultArray is dynamic, this
    ' will relase the memory used
    ' by ResultArray and return
    ' the array to an unallocated
    ' state.
    ''''''''''''''''''''''''''''''
    Erase ResultArray
    ''''''''''''''''''''''''''''''
    ' Now, size ResultArray to the
    ' size of SourceArray. After
    ' moving all the non-Nothing
    ' elements, we'll do another
    ' resize to get ResultArray
    ' to the used size. This method
    ' allows us to avoid Redim
    ' Preserve for every element.
    '''''''''''''''''''''''''''''
    ReDim ResultArray(LBound(SourceArray) To UBound(SourceArray))
    
    ResNdx = LBound(SourceArray)
    For InNdx = LBound(SourceArray) To UBound(SourceArray)
        If Not SourceArray(InNdx) Is Nothing Then
            Set ResultArray(ResNdx) = SourceArray(InNdx)
            ResNdx = ResNdx + 1
        End If
    Next InNdx
    ''''''''''''''''''''''''''''''''''''''''''
    ' Now that we've copied all the
    ' non-Nothing elements from SourceArray
    ' to ResultArray, we call Redim Preserve
    ' to resize the ResultArray to the size
    ' actually used. Test ResNdx to see
    ' if we actually copied any elements.
    ''''''''''''''''''''''''''''''''''''''''''
    If ResNdx > LBound(SourceArray) Then
        '''''''''''''''''''''''''''''''''''''''
        ' If ResNdx > LBound(SourceArray) then
        ' we copied at least one element out of
        ' SourceArray.
        '''''''''''''''''''''''''''''''''''''''
        ReDim Preserve ResultArray(LBound(ResultArray) To ResNdx - 1)
    Else
        ''''''''''''''''''''''''''''''''''''''''''''''
        ' Otherwise, we didn't copy any elements
        ' from SourceArray (all elements in SourceArray
        ' were Nothing). In this case, Erase ResultArray.
        '''''''''''''''''''''''''''''''''''''''''''''''''
        Erase ResultArray
    End If
    '''''''''''''''''''''''''''''
    ' No errors were encountered.
    ' Return True.
    '''''''''''''''''''''''''''''
    CopyNonNothingObjectsToArray = True

End Function



Public Function DataTypeOfArray(Arr As Variant) As VbVarType
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' DataTypeOfArray
    '
    ' Returns a VbVarType value indicating data type of the elements of
    ' Arr.
    '
    ' The VarType of an array is the value vbArray plus the VbVarType value of the
    ' data type of the array. For example the VarType of an array of Longs is 8195,
    ' which equal to vbArray + vbLong. This code subtracts the value of vbArray to
    ' return the native data type.
    '
    ' If Arr is a simple array, either single- or mulit-
    ' dimensional, the function returns the data type of the array. Arr
    ' may be an unallocated array. We can still get the data type of an unallocated
    ' array.
    '
    ' If Arr is an array of arrays, the function returns vbArray. To retrieve
    ' the data type of a subarray, pass into the function one of the sub-arrays. E.g.,
    ' Dim R As VbVarType
    ' R = DataTypeOfArray(A(LBound(A)))
    '
    ' This function support single and multidimensional arrays. It does not
    ' support user-defined types. If Arr is an array of empty variants (vbEmpty)
    ' it returns vbVariant
    '
    ' Returns -1 if Arr is not an array.
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    
    Dim element As Variant
    Dim NumDimensions As Long
    
    ' If Arr is not an array, return
    ' vbEmpty and get out.
    If IsArray(Arr) = False Then
        DataTypeOfArray = -1
        Exit Function
    End If
    
    If IsArrayEmpty(Arr) = True Then
        ' If the array is unallocated, we can still get its data type.
        ' The result of VarType of an array is vbArray + the VarType
        ' of elements of the array (e.g., the VarType of an array of Longs
        ' is 8195, which is vbArray + vbLong). Thus, to get the basic data
        ' type of the array, we subtract the value vbArray.
        DataTypeOfArray = VarType(Arr) - vbArray
    Else
        ' get the number of dimensions in the array.
        NumDimensions = NumberOfArrayDimensions(Arr)
        ' set variable Element to first element of the first dimension
        ' of the array
        If NumDimensions = 1 Then
            If IsObject(Arr(LBound(Arr))) = True Then
                DataTypeOfArray = vbObject
                Exit Function
            End If
            element = Arr(LBound(Arr))
        Else
            If IsObject(Arr(LBound(Arr), 1)) = True Then
                DataTypeOfArray = vbObject
                Exit Function
            End If
            element = Arr(LBound(Arr), 1)
        End If
        ' if we were passed an array of arrays, IsArray(Element) will
        ' be true. Therefore, return vbArray. If IsArray(Element) is false,
        ' we weren't passed an array of arrays, so simply return the data type of
        ' Element.
        If IsArray(element) = True Then
            DataTypeOfArray = vbArray
        Else
            If VarType(element) = vbEmpty Then
                DataTypeOfArray = vbVariant
            Else
                DataTypeOfArray = VarType(element)
            End If
        End If
    End If


End Function

Public Function DeleteArrayElement(InputArray As Variant, ElementNumber As Long, _
    Optional ResizeDynamic As Boolean = False) As Boolean
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' DeleteArrayElement
    ' This function deletes an element from InputArray, and shifts elements that are to the
    ' right of the deleted element to the left. If InputArray is a dynamic array, and the
    ' ResizeDynamic parameter is True, the array will be resized one element smaller. Otherwise,
    ' the right-most entry in the array is set to the default value appropriate to the data
    ' type of the array (0, vbNullString, Empty, or Nothing). If the array is an array of Variant
    ' types, the default data type is the data type of the last element in the array.
    ' The function returns True if the elememt was successfully deleted, or False if an error
    ' occurrred. This procedure works only on single-dimensional
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    
    Dim Ndx As Long
    Dim VType As VbVarType
    
    ''''''''''''''''''''''''''''''''
    ' Set the default result
    ''''''''''''''''''''''''''''''''
    DeleteArrayElement = False
    
    ''''''''''''''''''''''''''''''''
    ' Ensure InputArray is an array.
    ''''''''''''''''''''''''''''''''
    If IsArray(InputArray) = False Then
        Exit Function
    End If
    
    '''''''''''''''''''''''''''''''''''''''''''
    ' Ensure we have a single dimensional array
    '''''''''''''''''''''''''''''''''''''''''''
    If NumberOfArrayDimensions(Arr:=InputArray) <> 1 Then
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''''''''''''
    ' Ensure we have a valid ElementNumber
    ''''''''''''''''''''''''''''''''''''''''''''''
    If (ElementNumber < LBound(InputArray)) Or (ElementNumber > UBound(InputArray)) Then
        Exit Function
    End If
    
    If LBound(InputArray) = UBound(InputArray) Then
        Erase InputArray
        Exit Function
    End If
    ''''''''''''''''''''''''''''''''''''''''''''''
    ' Get the variable data type of the element
    ' we're deleting.
    ''''''''''''''''''''''''''''''''''''''''''''''
    VType = VarType(InputArray(UBound(InputArray)))
    If VType >= vbArray Then
        VType = VType - vbArray
    End If
    ''''''''''''''''''''''''''''''''''''''''''''''
    ' Shift everything to the left
    ''''''''''''''''''''''''''''''''''''''''''''''
    For Ndx = ElementNumber To UBound(InputArray) - 1
        InputArray(Ndx) = InputArray(Ndx + 1)
    Next Ndx
    ''''''''''''''''''''''''''''''''''''''''''''''
    ' If ResizeDynamic is True, resize the array
    ' if it is dynamic.
    ''''''''''''''''''''''''''''''''''''''''''''''
    If IsArrayDynamic(Arr:=InputArray) = True Then
        If ResizeDynamic = True Then
            ''''''''''''''''''''''''''''''''
            ' Resize the array and get out.
            ''''''''''''''''''''''''''''''''
            ReDim Preserve InputArray(LBound(InputArray) To UBound(InputArray) - 1)
            DeleteArrayElement = True
            Exit Function
        End If
    End If
    '''''''''''''''''''''''''''''
    ' Set the last element of the
    ' InputArray to the proper
    ' default value.
    '''''''''''''''''''''''''''''
    Select Case VType
        Case vbByte, vbInteger, vbLong, vbSingle, vbDouble, vbDate, vbCurrency, vbDecimal
            InputArray(UBound(InputArray)) = 0
        Case vbString
            InputArray(UBound(InputArray)) = vbNullString
        Case vbArray, vbVariant, vbEmpty, vbError, vbNull, vbUserDefinedType
            InputArray(UBound(InputArray)) = Empty
        Case vbBoolean
            InputArray(UBound(InputArray)) = False
        Case vbObject
            Set InputArray(UBound(InputArray)) = Nothing
        Case Else
            InputArray(UBound(InputArray)) = 0
    End Select
    
    DeleteArrayElement = True

End Function

Public Function FirstNonEmptyStringIndexInArray(InputArray As Variant) As Long
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' FirstNonEmptyStringIndexInArray
    ' This returns the index into InputArray of the first non-empty string.
    ' This is generally used when InputArray is the result of a sort operation,
    ' which puts empty strings at the beginning of the array.
    ' Returns -1 is an error occurred or if the entire array is empty strings.
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    Dim Ndx As Long
    
    If IsArray(InputArray) = False Then
        FirstNonEmptyStringIndexInArray = -1
        Exit Function
    End If
      
    Select Case NumberOfArrayDimensions(Arr:=InputArray)
        Case 0
            '''''''''''''''''''''''''''''''''''''''''
            ' indicates an unallocated dynamic array.
            '''''''''''''''''''''''''''''''''''''''''
            FirstNonEmptyStringIndexInArray = -1
            Exit Function
        Case 1
            '''''''''''''''''''''''''''''''''''''''''
            ' single dimensional array. OK.
            '''''''''''''''''''''''''''''''''''''''''
        Case Else
            '''''''''''''''''''''''''''''''''''''''''
            ' multidimensional array. Invalid.
            '''''''''''''''''''''''''''''''''''''''''
            FirstNonEmptyStringIndexInArray = -1
            Exit Function
    End Select
    
    For Ndx = LBound(InputArray) To UBound(InputArray)
        If InputArray(Ndx) <> vbNullString Then
            FirstNonEmptyStringIndexInArray = Ndx
            Exit Function
        End If
    Next Ndx
    
    FirstNonEmptyStringIndexInArray = -1
End Function
    
    
    Public Function InsertElementIntoArray(InputArray As Variant, index As Long, _
        value As Variant) As Boolean
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' InsertElementIntoArray
    ' This function inserts an element with a value of Value into InputArray at locatation Index.
    ' InputArray must be a dynamic array. The Value is stored in location Index, and everything
    ' to the right of Index is shifted to the right. The array is resized to make room for
    ' the new element. The value of Index must be greater than or equal to the LBound of
    ' InputArray and less than or equal to UBound+1. If Index is UBound+1, the Value is
    ' placed at the end of the array.
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    Dim Ndx As Long
    
    '''''''''''''''''''''''''''''''
    ' Set the default return value.
    '''''''''''''''''''''''''''''''
    InsertElementIntoArray = False
    
    ''''''''''''''''''''''''''''''''
    ' Ensure InputArray is an array.
    ''''''''''''''''''''''''''''''''
    If IsArray(InputArray) = False Then
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''
    ' Ensure InputArray is dynamic.
    ''''''''''''''''''''''''''''''''
    If IsArrayDynamic(Arr:=InputArray) = False Then
        Exit Function
    End If
    
    '''''''''''''''''''''''''''''''''
    ' Ensure InputArray is allocated.
    '''''''''''''''''''''''''''''''''
    If IsArrayAllocated(Arr:=InputArray) = False Then
        Exit Function
    End If
    
    '''''''''''''''''''''''''''''''''
    ' Ensure InputArray is a single
    ' dimensional array.
    '''''''''''''''''''''''''''''''''
    If NumberOfArrayDimensions(Arr:=InputArray) <> 1 Then
        Exit Function
    End If
    
    '''''''''''''''''''''''''''''''''''''''''
    ' Ensure Index is a valid element index.
    ' We allow Index to be equal to
    ' UBound + 1 to facilitate inserting
    ' a value at the end of the array. E.g.,
    ' InsertElementIntoArray(Arr,UBound(Arr)+1,123)
    ' will insert 123 at the end of the array.
    '''''''''''''''''''''''''''''''''''''''''
    If (index < LBound(InputArray)) Or (index > UBound(InputArray) + 1) Then
        Exit Function
    End If
    
    '''''''''''''''''''''''''''''''''''''''''''''
    ' Resize the array
    '''''''''''''''''''''''''''''''''''''''''''''
    ReDim Preserve InputArray(LBound(InputArray) To UBound(InputArray) + 1)
    '''''''''''''''''''''''''''''''''''''''''''''
    ' First, we set the newly created last element
    ' of InputArray to Value. This is done to trap
    ' an error 13, type mismatch. This last entry
    ' will be overwritten when we shift elements
    ' to the right, and the Value will be inserted
    ' at Index.
    '''''''''''''''''''''''''''''''''''''''''''''''
    On Error Resume Next
    err.clear
    InputArray(UBound(InputArray)) = value
    If err.Number <> 0 Then
        ''''''''''''''''''''''''''''''''''''''
        ' An error occurred, most likely
        ' an error 13, type mismatch.
        ' Redim the array back to its original
        ' size and exit the function.
        '''''''''''''''''''''''''''''''''''''''
        ReDim Preserve InputArray(LBound(InputArray) To UBound(InputArray) - 1)
        Exit Function
    End If
    '''''''''''''''''''''''''''''''''''''''''''''
    ' Shift everything to the right.
    '''''''''''''''''''''''''''''''''''''''''''''
    For Ndx = UBound(InputArray) To index + 1 Step -1
        InputArray(Ndx) = InputArray(Ndx - 1)
    Next Ndx
    
    '''''''''''''''''''''''''''''''''''''''''''''
    ' Insert Value at Index
    '''''''''''''''''''''''''''''''''''''''''''''
    InputArray(index) = value
    
       
    InsertElementIntoArray = True


End Function



Public Function IsArrayAllDefault(InputArray As Variant) As Boolean
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' IsArrayAllEmpty
    ' Returns True if the array contains all default values for its
    ' data type:
    '   Variable Type           Value
    '   -------------           -------------------
    '   Variant                 Empty
    '   String                  vbNullString
    '   Numeric                 0
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    Dim Ndx As Long
    Dim DefaultValue As Variant
    
    '''''''''''''''''''''''''''''''
    ' Set the default return value.
    '''''''''''''''''''''''''''''''
    IsArrayAllDefault = False
    
    '''''''''''''''''''''''''''''''''''
    ' Ensure InputArray is an array.
    '''''''''''''''''''''''''''''''''''
    If IsArray(InputArray) = False Then
        IsArrayAllDefault = False
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''
    ' Ensure array is allocated. An
    ' unallocated is considered to be
    ' all the same type. Return True.
    ''''''''''''''''''''''''''''''''''
    If IsArrayAllocated(Arr:=InputArray) = False Then
        IsArrayAllDefault = True
        Exit Function
    End If
       
    ''''''''''''''''''''''''''''''''''
    ' Test the type of variable
    ''''''''''''''''''''''''''''''''''
    Select Case VarType(InputArray)
        Case vbArray + vbVariant
            DefaultValue = Empty
        Case vbArray + vbString
            DefaultValue = vbNullString
        Case Is > vbArray
            DefaultValue = 0
    End Select
    For Ndx = LBound(InputArray) To UBound(InputArray)
        If IsObject(InputArray(Ndx)) Then
            If Not InputArray(Ndx) Is Nothing Then
                Exit Function
            Else
               
            End If
        Else
            If VarType(InputArray(Ndx)) <> vbEmpty Then
                If InputArray(Ndx) <> DefaultValue Then
                    Exit Function
                End If
            End If
        End If
    Next Ndx
    
    '''''''''''''''''''''''''''''''
    ' If we make it out of the loop,
    ' the array is all defaults.
    ' Return True.
    '''''''''''''''''''''''''''''''
    IsArrayAllDefault = True
    
    
End Function
    
    
    
Public Function IsArrayAllNumeric(Arr As Variant, _
    Optional AllowNumericStrings As Boolean = False) As Boolean
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
' IsArrayAllNumeric
' This function returns True is Arr is entirely numeric. False otherwise. The AllowNumericStrings
' parameter indicates whether strings containing numeric data are considered numeric. If this
' parameter is True, a numeric string is considered a numeric variable. If this parameter is
' omitted or False, a numeric string is not considered a numeric variable.
' Variants that are numeric or Empty are allowed. Variants that are arrays, objects, or
' non-numeric data are not allowed.
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    
    Dim Ndx As Long
    
    ''''''''''''''''''''''''''''
    ' Ensure Arr is an array.
    ''''''''''''''''''''''''''''
    If IsArray(Arr) = False Then
        IsArrayAllNumeric = False
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''''
    ' Ensure Arr is allocated (non-empty).
    ''''''''''''''''''''''''''''''''''''''
    If IsArrayEmpty(Arr:=Arr) = True Then
        IsArrayAllNumeric = False
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''''
    ' Loop through the array.
    '''''''''''''''''''''''''''''''''''''
    For Ndx = LBound(Arr) To UBound(Arr)
        Select Case VarType(Arr(Ndx))
            Case vbInteger, vbLong, vbDouble, vbSingle, vbCurrency, vbDecimal, vbEmpty
                ' all valid numeric types
           
            Case vbString
                '''''''''''''''''''''''''''''''''''''''''''''''''''''''
                ' For strings, check the AllowNumericStrings parameter.
                ' If True and the element is a numeric string, allow it.
                ' If it is a non-numeric string, exit with False.
                ' If AllowNumericStrings is False, all strings, even
                ' numeric strings, will cause a result of False.
                '''''''''''''''''''''''''''''''''''''''''''''''''''''''
                If AllowNumericStrings = True Then
                    '''''''''''''''''''''''''''''''''
                    ' Allow numeric strings.
                    '''''''''''''''''''''''''''''''''
                    If IsNumeric(Arr(Ndx)) = False Then
                        IsArrayAllNumeric = False
                        Exit Function
                    End If
                Else
                    IsArrayAllNumeric = False
                    Exit Function
                End If
            Case vbVariant
                '''''''''''''''''''''''''''''''''''''''''''''
                ' For Variants, disallow Arrays and Objects.
                ' If the element is not an array or an object,
                ' test whether it is numeric. Allow numeric
                ' Varaints.
                '''''''''''''''''''''''''''''''''''''''''''''
                If IsArray(Arr(Ndx)) = True Then
                    IsArrayAllNumeric = False
                    Exit Function
                End If
                If IsObject(Arr(Ndx)) = True Then
                    IsArrayAllNumeric = False
                    Exit Function
                End If
               
                If IsNumeric(Arr(Ndx)) = False Then
                    IsArrayAllNumeric = False
                    Exit Function
                End If
                   
            Case Else
                ' any other data type returns False
                IsArrayAllNumeric = False
                Exit Function
        End Select
    Next Ndx
    
    IsArrayAllNumeric = True

End Function



Public Function IsArrayAllocated(Arr As Variant) As Boolean
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' IsArrayAllocated
    ' Returns TRUE if the array is allocated (either a static array or a dynamic array that has been
    ' sized with Redim) or FALSE if the array is not allocated (a dynamic that has not yet
    ' been sized with Redim, or a dynamic array that has been Erased). Static arrays are always
    ' allocated.
    '
    ' The VBA IsArray function indicates whether a variable is an array, but it does not
    ' distinguish between allocated and unallocated arrays. It will return TRUE for both
    ' allocated and unallocated arrays. This function tests whether the array has actually
    ' been allocated.
    '
    ' This function is just the reverse of IsArrayEmpty.
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    
    Dim n As Long
    On Error Resume Next
    
    ' if Arr is not an array, return FALSE and get out.
    If IsArray(Arr) = False Then
        IsArrayAllocated = False
        Exit Function
    End If
    
    ' Attempt to get the UBound of the array. If the array has not been allocated,
    ' an error will occur. Test Err.Number to see if an error occurred.
    n = UBound(Arr, 1)
    If (err.Number = 0) Then
        ''''''''''''''''''''''''''''''''''''''
        ' Under some circumstances, if an array
        ' is not allocated, Err.Number will be
        ' 0. To acccomodate this case, we test
        ' whether LBound <= Ubound. If this
        ' is True, the array is allocated. Otherwise,
        ' the array is not allocated.
        '''''''''''''''''''''''''''''''''''''''
        If LBound(Arr) <= UBound(Arr) Then
            ' no error. array has been allocated.
            IsArrayAllocated = True
        Else
            IsArrayAllocated = False
        End If
    Else
        ' error. unallocated array
        IsArrayAllocated = False
    End If
    
    End Function
    
    
    
Public Function IsArrayDynamic(ByRef Arr As Variant) As Boolean
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
' IsArrayDynamic
' This function returns TRUE or FALSE indicating whether Arr is a dynamic array.
' Note that if you attempt to ReDim a static array in the same procedure in which it is
' declared, you'll get a compiler error and your code won't run at all.
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

    Dim LUBound As Long
    
    ' If we weren't passed an array, get out now with a FALSE result
    If IsArray(Arr) = False Then
        IsArrayDynamic = False
        Exit Function
    End If
    
    ' If the array is empty, it hasn't been allocated yet, so we know
    ' it must be a dynamic array.
    If IsArrayEmpty(Arr:=Arr) = True Then
        IsArrayDynamic = True
        Exit Function
    End If
    
    ' Save the UBound of Arr.
    ' This value will be used to restore the original UBound if Arr
    ' is a single-dimensional dynamic array. Unused if Arr is multi-dimensional,
    ' or if Arr is a static array.
    LUBound = UBound(Arr)
    
    On Error Resume Next
    err.clear
    
    ' Attempt to increase the UBound of Arr and test the value of Err.Number.
    ' If Arr is a static array, either single- or multi-dimensional, we'll get a
    ' C_ERR_ARRAY_IS_FIXED_OR_LOCKED error. In this case, return FALSE.
    '
    ' If Arr is a single-dimensional dynamic array, we'll get C_ERR_NO_ERROR error.
    '
    ' If Arr is a multi-dimensional dynamic array, we'll get a
    ' C_ERR_SUBSCRIPT_OUT_OF_RANGE error.
    '
    ' For either C_NO_ERROR or C_ERR_SUBSCRIPT_OUT_OF_RANGE, return TRUE.
    ' For C_ERR_ARRAY_IS_FIXED_OR_LOCKED, return FALSE.
    
    ReDim Preserve Arr(LBound(Arr) To LUBound + 1)
    
    Select Case err.Number
        Case C_ERR_NO_ERROR
            ' We successfully increased the UBound of Arr.
            ' Do a ReDim Preserve to restore the original UBound.
            ReDim Preserve Arr(LBound(Arr) To LUBound)
            IsArrayDynamic = True
        Case C_ERR_SUBSCRIPT_OUT_OF_RANGE
            ' Arr is a multi-dimensional dynamic array.
            ' Return True.
            IsArrayDynamic = True
        Case C_ERR_ARRAY_IS_FIXED_OR_LOCKED
            ' Arr is a static single- or multi-dimensional array.
            ' Return False
            IsArrayDynamic = False
        Case Else
            ' We should never get here.
            ' Some unexpected error occurred. Be safe and return False.
            IsArrayDynamic = False
    End Select

End Function


Public Function IsArrayEmpty(Arr As Variant) As Boolean
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' IsArrayEmpty
    ' This function tests whether the array is empty (unallocated). Returns TRUE or FALSE.
    '
    ' The VBA IsArray function indicates whether a variable is an array, but it does not
    ' distinguish between allocated and unallocated arrays. It will return TRUE for both
    ' allocated and unallocated arrays. This function tests whether the array has actually
    ' been allocated.
    '
    ' This function is really the reverse of IsArrayAllocated.
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    
    Dim lb As Long
    Dim ub As Long
    
    err.clear
    On Error Resume Next
    If IsArray(Arr) = False Then
        ' we weren't passed an array, return True
        IsArrayEmpty = True
    End If
    
    ' Attempt to get the UBound of the array. If the array is
    ' unallocated, an error will occur.
    ub = UBound(Arr, 1)
    If (err.Number <> 0) Then
        IsArrayEmpty = True
    Else
        ''''''''''''''''''''''''''''''''''''''''''
        ' On rare occassion, under circumstances I
        ' cannot reliably replictate, Err.Number
        ' will be 0 for an unallocated, empty array.
        ' On these occassions, LBound is 0 and
        ' UBoung is -1.
        ' To accomodate the weird behavior, test to
        ' see if LB > UB. If so, the array is not
        ' allocated.
        ''''''''''''''''''''''''''''''''''''''''''
        err.clear
        lb = LBound(Arr)
        If lb > ub Then
            IsArrayEmpty = True
        Else
            IsArrayEmpty = False
        End If
    End If

End Function



Public Function IsArrayObjects(InputArray As Variant, _
    Optional AllowNothing As Boolean = True) As Boolean
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' IsArrayObjects
    ' Returns True if InputArray is entirely objects (Nothing objects are
    ' optionally allowed -- default it true, allow Nothing objects). Set the
    ' AllowNothing to true or false to indicate whether Nothing objects
    ' are allowed.
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    
    Dim Ndx As Long
    
    ''''''''''''''''''''''''''''''''
    ' Set the default return value.
    ''''''''''''''''''''''''''''''''
    IsArrayObjects = False
    
    ''''''''''''''''''''''''''''''''
    ' Ensure InputArray is an array.
    ''''''''''''''''''''''''''''''''
    If IsArray(InputArray) = False Then
        Exit Function
    End If
    
    '''''''''''''''''''''''''''''''''''''
    ' Ensure we have a single dimensional
    ' array.
    '''''''''''''''''''''''''''''''''''''
    Select Case NumberOfArrayDimensions(Arr:=InputArray)
        Case 0
            ''''''''''''''''''''''''''''''''''
            ' Unallocated dynamic array.
            ' Not allowed.
            ''''''''''''''''''''''''''''''''''
            Exit Function
        Case 1
             '''''''''''''''''''''''''''''''''
             ' OK
             '''''''''''''''''''''''''''''''''
        Case Else
            '''''''''''''''''''''''''''''''''
            ' Multi-dimensional array.
            ' Not allowed.
            ''''''''''''''''''''''''''''''''
            Exit Function
    End Select
    
    For Ndx = LBound(InputArray) To UBound(InputArray)
        If IsObject(InputArray(Ndx)) = False Then
            Exit Function
        End If
        If InputArray(Ndx) Is Nothing Then
            If AllowNothing = False Then
                Exit Function
            End If
        End If
    Next Ndx
    
    IsArrayObjects = True

End Function




Public Function IsNumericDataType(TestVar As Variant) As Boolean
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' IsNumericDataType
    '
    ' This function returns TRUE or FALSE indicating whether the data
    ' type of a variable is a numeric data type. It will return TRUE
    ' for all of the following data types:
    '       vbCurrency
    '       vbDecimal
    '       vbDouble
    '       vbInteger
    '       vbLong
    '       vbSingle
    '
    ' It will return FALSE for any other data type, including empty Variants and objects.
    ' If TestVar is an allocated array, it will test data type of the array
    ' and return TRUE or FALSE for that data type. If TestVar is an allocated
    ' array, it tests the data type of the first element of the array. If
    ' TestVar is an array of Variants, the function will indicate only whether
    ' the first element of the array is numeric. Other elements of the array
    ' may not be numeric data types. To test an entire array of variants
    ' to ensure they are all numeric data types, use the IsVariantArrayNumeric
    ' function.
    '
    ' It will return FALSE for any other data type. Use this procedure
    ' instead of VBA's IsNumeric function because IsNumeric will return
    ' TRUE if the variable is a string containing numeric data. This
    ' will cause problems with code like
    '        Dim V1 As Variant
    '        Dim V2 As Variant
    '        V1 = "1"
    '        V2 = "2"
    '        If IsNumeric(V1) = True Then
    '            If IsNumeric(V2) = True Then
    '                Debug.Print V1 + V2
    '            End If
    '        End If
    '
    ' The output of the Debug.Print statement will be "12", not 3,
    ' because V1 and V2 are strings and the '+' operator acts like
    ' the '&' operator when used with strings. This can lead to
    ' unexpected results.
    '
    ' IsNumeric should only be used to test strings for numeric content
    ' when converting a string value to a numeric variable.
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    Dim element As Variant
    Dim NumDims As Long
    If IsArray(TestVar) = True Then
        NumDims = NumberOfArrayDimensions(Arr:=TestVar)
        If NumDims > 1 Then
            '''''''''''''''''''''''''''''''''
            ' this procedure does not support
            ' multi-dimensional arrays.
            '''''''''''''''''''''''''''''''''
            IsNumericDataType = False
            Exit Function
        End If
        If IsArrayAllocated(Arr:=TestVar) = True Then
            element = TestVar(LBound(TestVar))
            Select Case VarType(element)
                Case vbCurrency, vbDecimal, vbDouble, vbInteger, vbLong, vbSingle
                    IsNumericDataType = True
                    Exit Function
                Case Else
                    IsNumericDataType = False
                    Exit Function
            End Select
        Else
            Select Case VarType(TestVar) - vbArray
                Case vbCurrency, vbDecimal, vbDouble, vbInteger, vbLong, vbSingle
                    IsNumericDataType = True
                    Exit Function
                Case Else
                    IsNumericDataType = False
                    Exit Function
            End Select
        End If
    End If
    Select Case VarType(TestVar)
        Case vbCurrency, vbDecimal, vbDouble, vbInteger, vbLong, vbSingle
            IsNumericDataType = True
        Case Else
            IsNumericDataType = False
    End Select
End Function



Public Function IsVariantArrayConsistent(Arr As Variant) As Boolean
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' IsVariantArrayConsistent
    '
    ' This returns TRUE or FALSE indicating whether an array of variants
    ' contains all the same data types. Returns FALSE under the following
    ' circumstances:
    '       Arr is not an array
    '       Arr is an array but is unallocated
    '       Arr is a multidimensional array
    '       Arr is allocated but does not contain consistant data types.
    '
    ' If Arr is an array of objects, objects that are Nothing are ignored.
    ' As long as all non-Nothing objects are the same object type, the
    ' function returns True.
    '
    ' It returns TRUE if all the elements of the array have the same
    ' data type. If Arr is an array of a specific data types, not variants,
    ' (E.g., Dim V(1 To 3) As Long), the function will return True. If
    ' an array of variants contains an uninitialized element (VarType =
    ' vbEmpty) that element is skipped and not used in the comparison. The
    ' reasoning behind this is that an empty variable will return the
    ' data type of the variable to which it is assigned (e.g., it will
    ' return vbNullString to a String and 0 to a Double).
    '
    ' The function does not support arrays of User Defined Types.
    '
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    
    Dim FirstDataType As VbVarType
    Dim Ndx As Long
    '''''''''''''''''''''''''''''''''''''''''
    ' Exit with False if Arr is not an array.
    '''''''''''''''''''''''''''''''''''''''''
    If IsArray(Arr) = False Then
        IsVariantArrayConsistent = False
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''''''''
    ' Exit with False if Arr is not allocated.
    ''''''''''''''''''''''''''''''''''''''''''
    If IsArrayAllocated(Arr) = False Then
        IsVariantArrayConsistent = False
        Exit Function
    End If
    ''''''''''''''''''''''''''''''''''''''''''
    ' Exit with false on multi-dimensional
    ' arrays.
    ''''''''''''''''''''''''''''''''''''''''''
    If NumberOfArrayDimensions(Arr) <> 1 Then
        IsVariantArrayConsistent = False
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''''''''
    ' Test if we have an array of a specific
    ' type rather than Variants. If so,
    ' return TRUE and get out.
    ''''''''''''''''''''''''''''''''''''''''''
    If (VarType(Arr) <= vbArray) And _
        (VarType(Arr) <> vbVariant) Then
        IsVariantArrayConsistent = True
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''''''''
    ' Get the data type of the first element.
    ''''''''''''''''''''''''''''''''''''''''''
    FirstDataType = VarType(Arr(LBound(Arr)))
    ''''''''''''''''''''''''''''''''''''''''''
    ' Loop through the array and exit if
    ' a differing data type if found.
    ''''''''''''''''''''''''''''''''''''''''''
    For Ndx = LBound(Arr) + 1 To UBound(Arr)
        If VarType(Arr(Ndx)) <> vbEmpty Then
            If IsObject(Arr(Ndx)) = True Then
                If Not Arr(Ndx) Is Nothing Then
                    If VarType(Arr(Ndx)) <> FirstDataType Then
                        IsVariantArrayConsistent = False
                        Exit Function
                    End If
                End If
            Else
                If VarType(Arr(Ndx)) <> FirstDataType Then
                    IsVariantArrayConsistent = False
                    Exit Function
                End If
            End If
        End If
    Next Ndx
    
    ''''''''''''''''''''''''''''''''''''''''''
    ' If we make it out of the loop,
    ' then the array is consistent.
    ''''''''''''''''''''''''''''''''''''''''''
    IsVariantArrayConsistent = True

End Function



Public Function IsVariantArrayNumeric(TestArray As Variant) As Boolean
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' IsVariantArrayNumeric
    '
    ' This function return TRUE if all the elements of an array of
    ' variants are numeric data types. They need not all be the same data
    ' type. You can have a mix of Integer, Longs, Doubles, and Singles.
    ' As long as they are all numeric data types, the function will
    ' return TRUE. If a non-numeric data type is encountered, the
    ' function will return FALSE. Also, it will return FALSE if
    ' TestArray is not an array, or if TestArray has not been
    ' allocated. TestArray may be a multi-dimensional array. This
    ' procedure uses the IsNumericDataType function to determine whether
    ' a variable is a numeric data type. If there is an uninitialized
    ' variant (VarType = vbEmpty) in the array, it is skipped and not
    ' used in the comparison (i.e., Empty is considered a valid numeric
    ' data type since you can assign a number to it).
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    
    Dim Ndx As Long
    Dim DimNdx As Long
    Dim NumDims As Long
    
    ''''''''''''''''''''''''''''''''
    ' Ensure TestArray is an array.
    ''''''''''''''''''''''''''''''''
    If IsArray(TestArray) = False Then
        IsVariantArrayNumeric = False
        Exit Function
    End If
    ''''''''''''''''''''''''''''''''
    ' Ensure that TestArray has been
    ' allocated.
    ''''''''''''''''''''''''''''''''
    If IsArrayAllocated(Arr:=TestArray) = False Then
        IsVariantArrayNumeric = False
        Exit Function
    End If
    ''''''''''''''''''''''''''''''''''''
    ' Ensure the array is a one
    ' dimensional array. This procedure
    ' will not work on multi-dimensional
    ' arrays.
    ''''''''''''''''''''''''''''''''''''
    'If NumberOfArrayDimensions(Arr:=TestArray) > 1 Then
    '    IsVariantArrayNumeric = False
    '    Exit Function
    'End If
       
    NumDims = NumberOfArrayDimensions(Arr:=TestArray)
    If NumDims = 1 Then
        '''''''''''''''''''''''''''''''''''
        ' single dimensional array
        '''''''''''''''''''''''''''''''''''
        For Ndx = LBound(TestArray) To UBound(TestArray)
            If IsObject(TestArray(Ndx)) = True Then
                IsVariantArrayNumeric = False
                Exit Function
            End If
           
            If VarType(TestArray(Ndx)) <> vbEmpty Then
                If IsNumericDataType(TestVar:=TestArray(Ndx)) = False Then
                    IsVariantArrayNumeric = False
                    Exit Function
                End If
            End If
        Next Ndx
    Else
        ''''''''''''''''''''''''''''''''''''
        ' multi-dimensional array
        ''''''''''''''''''''''''''''''''''''
        For DimNdx = 1 To NumDims
            For Ndx = LBound(TestArray, DimNdx) To UBound(TestArray, DimNdx)
                If VarType(TestArray(Ndx, DimNdx)) <> vbEmpty Then
                    If IsNumericDataType(TestVar:=TestArray(Ndx, DimNdx)) = False Then
                        IsVariantArrayNumeric = False
                        Exit Function
                    End If
                End If
            Next Ndx
        Next DimNdx
    End If
    
    '''''''''''''''''''''''''''''''''''''''
    ' If we made it out of the loop, then
    ' the array is entirely numeric.
    '''''''''''''''''''''''''''''''''''''''
    IsVariantArrayNumeric = True

End Function



Public Function MoveEmptyStringsToEndOfArray(InputArray As Variant) As Boolean
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' This procedure takes the SORTED array InputArray, which, if sorted in
    ' ascending order, will have all empty strings at the front of the array.
    ' This procedure moves those strings to the end of the array, shifting
    ' the non-empty strings forward in the array.
    ' Note that InputArray MUST be sorted in ascending order.
    ' Returns True if the array was correctly shifted (if necessary) and False
    ' if an error occurred.
    ' This function uses the following functions, which are included as Private
    ' procedures at the end of this module.
    '       FirstNonEmptyStringIndexInArray
    '       NumberOfArrayDimensions
    '       IsArrayAllocated
    
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    Dim temp As String
    Dim Ndx As Long
    Dim Ndx2 As Long
    Dim NonEmptyNdx As Long
    Dim FirstNonEmptyNdx As Long
    
    
    ''''''''''''''''''''''''''''''''
    ' Ensure InpuyArray is an array.
    ''''''''''''''''''''''''''''''''
    If IsArray(InputArray) = False Then
        MoveEmptyStringsToEndOfArray = False
        Exit Function
    End If
    
    
    ''''''''''''''''''''''''''''''''''''
    ' Ensure that the array is allocated
    ' (not an empty array).
    ''''''''''''''''''''''''''''''''''''
    If IsArrayAllocated(Arr:=InputArray) = False Then
        MoveEmptyStringsToEndOfArray = False
        Exit Function
    End If
    
    
    FirstNonEmptyNdx = FirstNonEmptyStringIndexInArray(InputArray:=InputArray)
    If FirstNonEmptyNdx <= LBound(InputArray) Then
        ''''''''''''''''''''''''''''''''''''''''''
        ' No empty strings at the beginning of the
        ' array. Get out now.
        ''''''''''''''''''''''''''''''''''''''''''
        MoveEmptyStringsToEndOfArray = True
        Exit Function
    End If
    
    
    ''''''''''''''''''''''''''''''''''''''''''''''''
    ' Loop through the array, swapping vbNullStrings
    ' at the beginning with values at the end.
    ''''''''''''''''''''''''''''''''''''''''''''''''
    NonEmptyNdx = FirstNonEmptyNdx
    For Ndx = LBound(InputArray) To UBound(InputArray)
        If InputArray(Ndx) = vbNullString Then
            InputArray(Ndx) = InputArray(NonEmptyNdx)
            InputArray(NonEmptyNdx) = vbNullString
            NonEmptyNdx = NonEmptyNdx + 1
            If NonEmptyNdx > UBound(InputArray) Then
                Exit For
            End If
        End If
    Next Ndx
    ''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' Set entires (Ndx+1) to UBound(InputArray) to
    ' vbNullStrings.
    ''''''''''''''''''''''''''''''''''''''''''''''''''''
    For Ndx2 = Ndx + 1 To UBound(InputArray)
        InputArray(Ndx2) = vbNullString
    Next Ndx2
    MoveEmptyStringsToEndOfArray = True

End Function



Public Function NumberOfArrayDimensions(Arr As Variant) As Integer
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' NumberOfArrayDimensions
    ' This function returns the number of dimensions of an array. An unallocated dynamic array
    ' has 0 dimensions. This condition can also be tested with IsArrayEmpty.
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    Dim Ndx As Integer
    Dim Res As Integer
    On Error Resume Next
    ' Loop, increasing the dimension index Ndx, until an error occurs.
    ' An error will occur when Ndx exceeds the number of dimension
    ' in the array. Return Ndx - 1.
    Do
        Ndx = Ndx + 1
        Res = UBound(Arr, Ndx)
    Loop Until err.Number <> 0
    
    NumberOfArrayDimensions = Ndx - 1

End Function




Public Function NumElements(Arr As Variant, Optional dimension = 1) As Long
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' NumElements
    ' Returns the number of elements in the specified dimension (Dimension) of the array in
    ' Arr. If you omit Dimension, the first dimension is used. The function will return
    ' 0 under the following circumstances:
    '     Arr is not an array, or
    '     Arr is an unallocated array, or
    '     Dimension is greater than the number of dimension of Arr, or
    '     Dimension is less than 1.
    '
    ' This function does not support arrays of user-defined Type variables.
    ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    
    Dim NumDimensions As Long
    
    ' if Arr is not an array, return 0 and get out.
    If IsArray(Arr) = False Then
        NumElements = 0
        Exit Function
    End If
    
    ' if the array is unallocated, return 0 and get out.
    If IsArrayEmpty(Arr) = True Then
        NumElements = 0
        Exit Function
    End If
    
    ' ensure that Dimension is at least 1.
    If dimension < 1 Then
        NumElements = 0
        Exit Function
    End If
    
    ' get the number of dimensions
    NumDimensions = NumberOfArrayDimensions(Arr)
    If NumDimensions < dimension Then
        NumElements = 0
        Exit Function
    End If
    
    ' returns the number of elements in the array
    NumElements = UBound(Arr, dimension) - LBound(Arr, dimension) + 1
    
End Function

Public Function ResetVariantArrayToDefaults(InputArray As Variant) As Boolean
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
' ResetVariantArrayToDefaults
' This resets all the elements of an array of Variants back to their appropriate
' default values. The elements of the array may be of mixed types (e.g., some Longs,
' some Objects, some Strings, etc). Each data type will be set to the appropriate
' default value (0, vbNullString, Empty, or Nothing). It returns True if the
' array was set to defautls, or False if an error occurred. InputArray must be
' an allocated single-dimensional array. This function differs from the Erase
' function in that it preserves the original data types, while Erase sets every
' element to Empty.
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    Dim Ndx As Long
    '''''''''''''''''''''''''''''''
    ' Set the default return value.
    '''''''''''''''''''''''''''''''
    ResetVariantArrayToDefaults = False
    
    '''''''''''''''''''''''''''''''
    ' Ensure InputArray is an array
    '''''''''''''''''''''''''''''''
    If IsArray(InputArray) = False Then
        Exit Function
    End If
    
    '''''''''''''''''''''''''''''''
    ' Ensure InputArray is a single
    ' dimensional allocated array.
    '''''''''''''''''''''''''''''''
    If NumberOfArrayDimensions(Arr:=InputArray) <> 1 Then
        Exit Function
    End If
    
    For Ndx = LBound(InputArray) To UBound(InputArray)
        SetVariableToDefault InputArray(Ndx)
    Next Ndx
    
    ResetVariantArrayToDefaults = True
    
End Function


 

Public Function ReverseArrayInPlace(InputArray As Variant, _
    Optional NoAlerts As Boolean = False) As Boolean
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
' ReverseArrayInPlace
' This procedure reverses the order of an array in place -- this is, the array variable
' in the calling procedure is reversed. This works only on single-dimensional arrays
' of simple data types (String, Single, Double, Integer, Long). It will not work
' on arrays of objects. Use ReverseArrayOfObjectsInPlace to reverse an array of objects.
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    
    Dim temp As Variant
    Dim Ndx As Long
    Dim Ndx2 As Long
    
    
    '''''''''''''''''''''''''''''''''
    ' Set the default return value.
    '''''''''''''''''''''''''''''''''
    ReverseArrayInPlace = False
    
    '''''''''''''''''''''''''''''''''
    ' ensure we have an array
    '''''''''''''''''''''''''''''''''
    If IsArray(InputArray) = False Then
        If NoAlerts = False Then
            MsgBox "The InputArray parameter is not an array."
        End If
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''''
    ' Test the number of dimensions of the
    ' InputArray. If 0, we have an empty,
    ' unallocated array. Get out with
    ' an error message. If greater than
    ' one, we have a multi-dimensional
    ' array, which is not allowed. Only
    ' an allocated 1-dimensional array is
    ' allowed.
    ''''''''''''''''''''''''''''''''''''''
    Select Case NumberOfArrayDimensions(InputArray)
        Case 0
            If NoAlerts = False Then
                MsgBox "The input array is an empty, unallocated array."
            End If
            Exit Function
        Case 1
            ' ok
        Case Else
            If NoAlerts = False Then
                MsgBox "The input array is multi-dimensional. ReverseArrayInPlace works only " & _
                       "on single-dimensional arrays."
            End If
            Exit Function
    End Select
    
    Ndx2 = UBound(InputArray)
    ''''''''''''''''''''''''''''''''''''''
    ' loop from the LBound of InputArray to
    ' the midpoint of InputArray
    ''''''''''''''''''''''''''''''''''''''
    For Ndx = LBound(InputArray) To ((UBound(InputArray) - LBound(InputArray) + 1) \ 2)
        'swap the elements
        temp = InputArray(Ndx)
        InputArray(Ndx) = InputArray(Ndx2)
        InputArray(Ndx2) = temp
        ' decrement the upper index
        Ndx2 = Ndx2 - 1
    Next Ndx
    
    ''''''''''''''''''''''''''''''''''''''
    ' OK - Return True
    ''''''''''''''''''''''''''''''''''''''
    ReverseArrayInPlace = True
    
End Function



Public Function ReverseArrayOfObjectsInPlace(InputArray As Variant, _
    Optional NoAlerts As Boolean = False) As Boolean
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
' ReverseArrayOfObjectsInPlace
' This procedure reverses the order of an array in place -- this is, the array variable
' in the calling procedure is reversed. This works only with arrays of objects. It does
' not work on simple variables. Use ReverseArrayInPlace for simple variables. An error
' will occur if an element of the array is not an object.
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    
    Dim temp As Variant
    Dim Ndx As Long
    Dim Ndx2 As Long
    
    
    '''''''''''''''''''''''''''''''''
    ' Set the default return value.
    '''''''''''''''''''''''''''''''''
    ReverseArrayOfObjectsInPlace = False
    
    '''''''''''''''''''''''''''''''''
    ' ensure we have an array
    '''''''''''''''''''''''''''''''''
    If IsArray(InputArray) = False Then
        If NoAlerts = False Then
            MsgBox "The InputArray parameter is not an array."
        End If
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''''
    ' Test the number of dimensions of the
    ' InputArray. If 0, we have an empty,
    ' unallocated array. Get out with
    ' an error message. If greater than
    ' one, we have a multi-dimensional
    ' array, which is not allowed. Only
    ' an allocated 1-dimensional array is
    ' allowed.
    ''''''''''''''''''''''''''''''''''''''
    Select Case NumberOfArrayDimensions(InputArray)
        Case 0
            If NoAlerts = False Then
                MsgBox "The input array is an empty, unallocated array."
            End If
            Exit Function
        Case 1
            ' ok
        Case Else
            If NoAlerts = False Then
                MsgBox "The input array is multi-dimensional. ReverseArrayInPlace works only " & _
                       "on single-dimensional arrays."
            End If
            Exit Function
    End Select
    
    Ndx2 = UBound(InputArray)
    
    '''''''''''''''''''''''''''''''''''''
    ' ensure the entire array consists
    ' of objects (Nothing objects are
    ' allowed).
    '''''''''''''''''''''''''''''''''''''
    For Ndx = LBound(InputArray) To UBound(InputArray)
        If IsObject(InputArray(Ndx)) = False Then
            If NoAlerts = False Then
                MsgBox "Array item " & CStr(Ndx) & " is not an object."
            End If
            Exit Function
        End If
    Next Ndx
    
    ''''''''''''''''''''''''''''''''''''''
    ' loop from the LBound of InputArray to
    ' the midpoint of InputArray
    ''''''''''''''''''''''''''''''''''''''
    For Ndx = LBound(InputArray) To ((UBound(InputArray) - LBound(InputArray) + 1) \ 2)
        Set temp = InputArray(Ndx)
        Set InputArray(Ndx) = InputArray(Ndx2)
        Set InputArray(Ndx2) = temp
        ' decrement the upper index
        Ndx2 = Ndx2 - 1
    Next Ndx
    
    ''''''''''''''''''''''''''''''''''''''
    ' OK - Return True
    ''''''''''''''''''''''''''''''''''''''
    ReverseArrayOfObjectsInPlace = True
    
End Function


Public Function SetObjectArrayToNothing(InputArray As Variant) As Boolean
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
' SetObjectArrrayToNothing
' This sets all the elements of InputArray to Nothing. Use this function
' rather than Erase because if InputArray is an array of Variants, Erase
' will set each element to Empty, not Nothing, and the element will cease
' to be an object.
'
' The function returns True if successful, False otherwise.
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    
    Dim n As Long
    
    ''''''''''''''''''''''''''''''''''''''
    ' Ensure InputArray is an array.
    ''''''''''''''''''''''''''''''''''''''
    If IsArray(InputArray) = False Then
        SetObjectArrayToNothing = False
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''''''''''
    ' Ensure we have a single-dimensional array.
    ''''''''''''''''''''''''''''''''''''''''''''
    If NumberOfArrayDimensions(Arr:=InputArray) <> 1 Then
        SetObjectArrayToNothing = False
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''''''''''''''
    ' Ensure the array is allocated and that each
    ' element is an object (or Nothing). If the
    ' array is not allocated, return True.
    ' We do this test before setting any element
    ' to Nothing so we don't end up with an array
    ' that is a mix of Empty and Nothing values.
    ' This means looping through the array twice,
    ' but it ensures all or none of the elements
    ' get set to Nothing.
    ''''''''''''''''''''''''''''''''''''''''''''''''
    If IsArrayAllocated(Arr:=InputArray) = True Then
        For n = LBound(InputArray) To UBound(InputArray)
            If IsObject(InputArray(n)) = False Then
                SetObjectArrayToNothing = False
                Exit Function
            End If
        Next n
    Else
        SetObjectArrayToNothing = True
        Exit Function
    End If
    
    
    '''''''''''''''''''''''''''''''''''''''''''''
    ' Set each element of InputArray to Nothing.
    '''''''''''''''''''''''''''''''''''''''''''''
    For n = LBound(InputArray) To UBound(InputArray)
        Set InputArray(n) = Nothing
    Next n
    
    SetObjectArrayToNothing = True
    
End Function

Public Function AreDataTypesCompatible(DestVar As Variant, SourceVar As Variant) As Boolean
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
' AreDataTypesCompatible
' This function determines if SourceVar is compatiable with DestVar. If the two
' data types are the same, they are compatible. If the value of SourceVar can
' be stored in DestVar with no loss of precision or an overflow, they are compatible.
' For example, if DestVar is a Long and SourceVar is an Integer, they are compatible
' because an integer can be stored in a Long with no loss of information. If DestVar
' is a Long and SourceVar is a Double, they are not compatible because information
' will be lost converting from a Double to a Long (the decimal portion will be lost).
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    Dim SVType As VbVarType
    Dim DVType As VbVarType
    
    '''''''''''''''''''''''''''''''''''
    ' Set the default return type.
    '''''''''''''''''''''''''''''''''''
    AreDataTypesCompatible = False
    
    '''''''''''''''''''''''''''''''''''
    ' If DestVar is an array, get the
    ' type of array. If it is an array
    ' its VarType is vbArray + VarType(element)
    ' so we subtract vbArray to get then
    ' data type of the aray. E.g.,
    ' the VarType of an array of Longs
    ' is 8195 = vbArray + vbLong,
    ' 8195 - vbArray = vbLong (=3).
    '''''''''''''''''''''''''''''''''''
    If IsArray(DestVar) = True Then
        DVType = VarType(DestVar) - vbArray
    Else
        DVType = VarType(DestVar)
    End If
    '''''''''''''''''''''''''''''''''''
    ' If SourceVar is an array, get the
    ' type of array.
    '''''''''''''''''''''''''''''''''''
    If IsArray(SourceVar) = True Then
        SVType = VarType(SourceVar) - vbArray
    Else
        SVType = VarType(SourceVar)
    End If
    
    ''''''''''''''''''''''''''''''''''''
    ' If one variable is an array and
    ' the other is not an array, they
    ' are incompatible.
    ''''''''''''''''''''''''''''''''''''
    If ((IsArray(DestVar) = True) And (IsArray(SourceVar) = False) Or _
        (IsArray(DestVar) = False) And (IsArray(SourceVar) = True)) Then
        Exit Function
    End If
    
    
    ''''''''''''''''''''''''''''''''''''
    ' Test the data type of DestVar
    ' and return a result if SourceVar
    ' is compatible with that type.
    ''''''''''''''''''''''''''''''''''''
    If SVType = DVType Then
        '''''''''''''''''''''''''''''''''
        ' The the variable types are the
        ' same, they are compatible.
        ''''''''''''''''''''''''''''''''
        AreDataTypesCompatible = True
        Exit Function
    Else
        '''''''''''''''''''''''''''''''''''''''''
        ' If the data types are not the same,
        ' determine whether they are compatible.
        '''''''''''''''''''''''''''''''''''''''''
        Select Case DVType
            Case vbInteger
                Select Case SVType
                    Case vbInteger
                        AreDataTypesCompatible = True
                        Exit Function
                    Case Else
                        AreDataTypesCompatible = False
                        Exit Function
                End Select
           
            Case vbLong
                Select Case SVType
                    Case vbInteger, vbLong
                        AreDataTypesCompatible = True
                        Exit Function
                    Case Else
                        AreDataTypesCompatible = False
                        Exit Function
                End Select
            Case vbSingle
                Select Case SVType
                    Case vbInteger, vbLong, vbSingle
                        AreDataTypesCompatible = True
                        Exit Function
                    Case Else
                        AreDataTypesCompatible = False
                        Exit Function
                End Select
            Case vbDouble
                Select Case SVType
                    Case vbInteger, vbLong, vbSingle, vbDouble
                        AreDataTypesCompatible = True
                        Exit Function
                    Case Else
                        AreDataTypesCompatible = False
                        Exit Function
                End Select
            Case vbString
                Select Case SVType
                    Case vbString
                        AreDataTypesCompatible = True
                        Exit Function
                    Case Else
                        AreDataTypesCompatible = False
                        Exit Function
                End Select
            Case vbObject
                Select Case SVType
                    Case vbObject
                        AreDataTypesCompatible = True
                        Exit Function
                    Case Else
                        AreDataTypesCompatible = False
                        Exit Function
                End Select
            Case vbBoolean
                Select Case SVType
                    Case vbBoolean, vbInteger
                        AreDataTypesCompatible = True
                        Exit Function
                    Case Else
                        AreDataTypesCompatible = False
                        Exit Function
                End Select
             Case vbByte
                Select Case SVType
                    Case vbByte
                        AreDataTypesCompatible = True
                        Exit Function
                    Case Else
                        AreDataTypesCompatible = False
                        Exit Function
                End Select
            Case vbCurrency
                Select Case SVType
                    Case vbInteger, vbLong, vbSingle, vbDouble
                        AreDataTypesCompatible = True
                        Exit Function
                    Case Else
                        AreDataTypesCompatible = False
                        Exit Function
                End Select
            Case vbDecimal
                Select Case SVType
                    Case vbInteger, vbLong, vbSingle, vbDouble
                        AreDataTypesCompatible = True
                        Exit Function
                    Case Else
                        AreDataTypesCompatible = False
                        Exit Function
                End Select
            Case vbDate
                Select Case SVType
                    Case vbLong, vbSingle, vbDouble
                        AreDataTypesCompatible = True
                        Exit Function
                    Case Else
                        AreDataTypesCompatible = False
                        Exit Function
                End Select
           
             Case vbEmpty
                Select Case SVType
                    Case vbVariant
                        AreDataTypesCompatible = True
                        Exit Function
                    Case Else
                        AreDataTypesCompatible = False
                        Exit Function
                End Select
             Case vbError
                AreDataTypesCompatible = False
                Exit Function
             Case vbNull
                AreDataTypesCompatible = False
                Exit Function
             Case vbObject
                Select Case SVType
                    Case vbObject
                        AreDataTypesCompatible = True
                        Exit Function
                    Case Else
                        AreDataTypesCompatible = False
                        Exit Function
                End Select
             Case vbVariant
                AreDataTypesCompatible = True
                Exit Function
           
        End Select
    End If
    
    
End Function

Public Sub SetVariableToDefault(ByRef Variable As Variant)
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
' SetVariableToDefault
' This procedure sets Variable to the appropriate default
' value for its data type. Note that it cannot change User-Defined
' Types.
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    If IsObject(Variable) Then
        '''''''''''''''''''''''''''''''''''''''
        ' We test with IsObject here so that
        ' the object itself, not the default
        ' property of the object, is evaluated.
        ''''''''''''''''''''''''''''''''''''''''
        Set Variable = Nothing
    Else
        Select Case VarType(Variable)
            Case Is >= vbArray
                ''''''''''''''''''''''''''''''''''''''''''''
                ' The VarType of an array is
                ' equal to vbArray + VarType(ArrayElement).
                ' Here we check for anything >= vbArray
                ''''''''''''''''''''''''''''''''''''''''''''
                Erase Variable
            Case vbBoolean
                Variable = False
            Case vbByte
                Variable = CByte(0)
            Case vbCurrency
                Variable = CCur(0)
            Case vbDataObject
                Set Variable = Nothing
            Case vbDate
                Variable = CDate(0)
            Case vbDecimal
                Variable = CDec(0)
            Case vbDouble
                Variable = CDbl(0)
            Case vbEmpty
                Variable = Empty
            Case vbError
                Variable = Empty
            Case vbInteger
                Variable = CInt(0)
            Case vbLong
                Variable = CLng(0)
            Case vbNull
                Variable = Empty
            Case vbObject
                Set Variable = Nothing
            Case vbSingle
                Variable = CSng(0)
            Case vbString
                Variable = vbNullString
            Case vbUserDefinedType
                '''''''''''''''''''''''''''''''''
                ' User-Defined-Types cannot be
                ' set to a general default value.
                ' Each element must be explicitly
                ' set to its default value. No
                ' assignment takes place in this
                ' procedure.
                ''''''''''''''''''''''''''''''''''
            Case vbVariant
                ''''''''''''''''''''''''''''''''''''''''''''''''
                ' This case is included for constistancy,
                ' but we will never get here. If the Variant
                ' contains data, VarType returns the type of
                ' that data. An Empty Variant is type vbEmpty.
                ''''''''''''''''''''''''''''''''''''''''''''''''
                Variable = Empty
        End Select
    End If
    
    End Sub
    Public Function TransposeArray(InputArr As Variant, OutputArr As Variant) As Boolean
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' TransposeArray
    ' This transposes a two-dimensional array. It returns True if successful or
    ' False if an error occurs. InputArr must be two-dimensions. OutputArr must be
    ' a dynamic array. It will be Erased and resized, so any existing content will
    ' be destroyed.
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    
    Dim RowNdx As Long
    Dim ColNdx As Long
    Dim lb1 As Long
    Dim lb2 As Long
    Dim ub1 As Long
    Dim ub2 As Long
    
    '''''''''''''''''''''''''''''''''''
    ' Ensure InputArr and OutputArr
    ' are arrays.
    '''''''''''''''''''''''''''''''''''
    If (IsArray(InputArr) = False) Or (IsArray(OutputArr) = False) Then
        TransposeArray = False
        Exit Function
    End If
    
    '''''''''''''''''''''''''''''''''''
    ' Ensure OutputArr is a dynamic
    ' array.
    '''''''''''''''''''''''''''''''''''
    If IsArrayDynamic(Arr:=OutputArr) = False Then
        TransposeArray = False
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''
    ' Ensure InputArr is two-dimensions,
    ' no more, no lesss.
    ''''''''''''''''''''''''''''''''''
    If NumberOfArrayDimensions(Arr:=InputArr) <> 2 Then
        TransposeArray = False
        Exit Function
    End If
    
    '''''''''''''''''''''''''''''''''''''''
    ' Get the Lower and Upper bounds of
    ' InputArr.
    '''''''''''''''''''''''''''''''''''''''
    lb1 = LBound(InputArr, 1)
    lb2 = LBound(InputArr, 2)
    ub1 = UBound(InputArr, 1)
    ub2 = UBound(InputArr, 2)
    
    '''''''''''''''''''''''''''''''''''''''''
    ' Erase and ReDim OutputArr
    '''''''''''''''''''''''''''''''''''''''''
    Erase OutputArr
    ReDim OutputArr(lb2 To lb2 + ub2 - lb2, lb1 To lb1 + ub1 - lb1)
    
    For RowNdx = LBound(InputArr, 2) To UBound(InputArr, 2)
        For ColNdx = LBound(InputArr, 1) To UBound(InputArr, 1)
            OutputArr(RowNdx, ColNdx) = InputArr(ColNdx, RowNdx)
        Next ColNdx
    Next RowNdx
    
    TransposeArray = True
    
End Function
Public Function VectorsToArray(Arr As Variant, ParamArray Vectors()) As Boolean
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
' VectorsToArray
' This function takes 1 or more single-dimensional arrays and converts
' them into a single multi-dimensional array. Each array in Vectors
' comprises one row of the new array. The number of columns in the
' new array is the maximum of the number of elements in each vector.
' Arr MUST be a dynamic array of a data type compatible with ALL the
' elements in each Vector. The code does NOT trap for an error
' 13 - Type Mismatch.
'
' If the Vectors are of differing sizes, Arr is sized to hold the
' maximum number of elements in a Vector. The procedure Erases the
' Arr array, so when it is reallocated with Redim, all elements will
' be the reset to their default value (0 or vbNullString or Empty).
' Unused elements in the new array will remain the default value for
' that data type.
'
' Each Vector in Vectors must be a single dimensional array, but
' the Vectors may be of different sizes and LBounds.
'
' Each element in each Vector must be a simple data type. The elements
' may NOT be Object, Arrays, or User-Defined Types.
'
' The rows and columns of the result array are 0-based, regardless of
' the LBound of each vector and regardless of the Option Base statement.
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    Dim Vector As Variant
    Dim VectorNdx As Long
    Dim NumElements As Long
    Dim numRows As Long
    Dim numCols As Long
    Dim RowNdx As Long
    Dim ColNdx As Long
    Dim VType As VbVarType
    
    '''''''''''''''''''''''''''''''''''
    ' Ensure we have an Array
    ''''''''''''''''''''''''''''''''''
    If IsArray(Arr) = False Then
        VectorsToArray = False
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''
    ' Ensure we have a dynamic array
    ''''''''''''''''''''''''''''''''''
    If IsArrayDynamic(Arr) = False Then
        VectorsToArray = False
        Exit Function
    End If
       
    '''''''''''''''''''''''''''''''''
    ' Ensure that at least one vector
    ' was passed in Vectors
    '''''''''''''''''''''''''''''''''
    If IsMissing(Vectors) = True Then
        VectorsToArray = False
        Exit Function
    End If
    
    '''''''''''''''''''''''''''''''''''''''''''''''
    ' Loop through Vectors to determine the
    ' size of the result array. We do this
    ' loop first to prevent having to do
    ' a Redim Preserve. This requires looping
    ' through Vectors a second time, but this
    ' is still faster than doing Redim Preserves.
    '''''''''''''''''''''''''''''''''''''''''''''''
    For Each Vector In Vectors
        ''''''''''''''''''''''''''''
        ' Ensure Vector is single
        ' dimensional array. This
        ' will take care of the case
        ' if Vector is an unallocated
        ' array (NumberOfArrayDimensions = 0
        ' for an unallocated array).
        ''''''''''''''''''''''''''''
        If NumberOfArrayDimensions(Vector) <> 1 Then
            VectorsToArray = False
            Exit Function
        End If
        '''''''''''''''''''''''''''''''''''''
        ' Ensure that Vector is not an array.
        '''''''''''''''''''''''''''''''''''''
        If IsArray(Vector) = False Then
            VectorsToArray = False
            Exit Function
        End If
        '''''''''''''''''''''''''''''''''
        ' Increment the number of rows.
        ' Each Vector is one row or the
        ' result array. Test the size
        ' of Vector. If it is larger
        ' than the existing value of
        ' NumCols, set NumCols to the
        ' new, larger, value.
        '''''''''''''''''''''''''''''''''
        numRows = numRows + 1
        If numCols < UBound(Vector) - LBound(Vector) + 1 Then
            numCols = UBound(Vector) - LBound(Vector) + 1
        End If
    Next Vector
    ''''''''''''''''''''''''''''''''''''''''''''
    ' Redim Arr to the appropriate size. Arr
    ' is 0-based in both directions, regardless
    ' of the LBound of the original Arr and
    ' regardless of the LBounds of the Vectors.
    ''''''''''''''''''''''''''''''''''''''''''''
    ReDim Arr(0 To numRows - 1, 0 To numCols - 1)
    
    '''''''''''''''''''''''''''''''
    ' Loop row-by-row.
    For RowNdx = 0 To numRows - 1
        ''''''''''''''''''''''''''''''''
        ' Loop through the columns.
        ''''''''''''''''''''''''''''''''
        For ColNdx = 0 To numCols - 1
            ''''''''''''''''''''''''''''
            ' Set Vector (a Variant) to
            ' the Vectors(RowNdx) array.
            ' We declare Vector as a
            ' variant so it can take an
            ' array of any simple data
            ' type.
            ''''''''''''''''''''''''''''
            Vector = Vectors(RowNdx)
            '''''''''''''''''''''''''''''
            ' The vectors need not ber
            If ColNdx < UBound(Vector) - LBound(Vector) + 1 Then
                VType = VarType(Vector(LBound(Vector) + ColNdx))
                If VType >= vbArray Then
                    ''''''''''''''''''''''''''''''''''''''''''''''''''''''
                    ' Test for VType >= vbArray. The VarType of an array
                    ' is vbArray + VarType(element of array). E.g., the
                    ' VarType of an array of Longs equal vbArray + vbLong.
                    ' Anything greater than or equal to vbArray is an
                    ' array of some time.
                    ''''''''''''''''''''''''''''''''''''''''''''''''''''''
                    VectorsToArray = False
                    Exit Function
                End If
                If VType = vbObject Then
                    VectorsToArray = False
                    Exit Function
                End If
                '''''''''''''''''''''''''''''''''''''''''''''''''''''''''
                ' Vector(LBound(Vector) + ColNdx) is
                ' a simple data type. If Vector(LBound(Vector) + ColNdx)
                ' is not a compatible data type with Arr, then a Type
                ' Mismatch error will occur. We do NOT trap this error.
                '''''''''''''''''''''''''''''''''''''''''''''''''''''''''
                Arr(RowNdx, ColNdx) = Vector(LBound(Vector) + ColNdx)
            End If
        Next ColNdx
    Next RowNdx
    
    VectorsToArray = True
    
End Function
Public Function IsArraySorted(TestArray As Variant, _
    Optional descending As Boolean = False) As Variant
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
' IsArraySorted
' This function determines whether a single-dimensional array is sorted. Because
' sorting is an expensive operation, especially so on large array of Variants,
' you may want to determine if an array is already in sorted order prior to
' doing an actual sort.
' This function returns True if an array is in sorted order (either ascending or
' descending order, depending on the value of the Descending parameter -- default
' is false = Ascending). The decision to do a string comparison (with StrComp) or
' a numeric comparison (with < or >) is based on the data type of the first
' element of the array.
' If TestArray is not an array, is an unallocated dynamic array, or has more than
' one dimension, or the VarType of TestArray is not compatible, the function
' returns NULL.
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    
    Dim StrCompResultFail As Long
    Dim NumericResultFail As Boolean
    Dim Ndx As Long
    Dim NumCompareResult As Boolean
    Dim StrCompResult As Long
    
    Dim IsString As Boolean
    Dim VType As VbVarType
    
    ''''''''''''''''''''''''''''''''''
    ' Ensure TestArray is an array.
    ''''''''''''''''''''''''''''''''''
    If IsArray(TestArray) = False Then
        IsArraySorted = Null
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''''''''''
    ' Ensure we have a single dimensional array.
    ''''''''''''''''''''''''''''''''''''''''''''
    If NumberOfArrayDimensions(Arr:=TestArray) <> 1 Then
        IsArraySorted = Null
        Exit Function
    End If
    
    '''''''''''''''''''''''''''''''''''''''''''''
    ' The following code sets the values of
    ' comparison that will indicate that the
    ' array is unsorted. It the result of
    ' StrComp (for strings) or ">=" (for
    ' numerics) equals the value specified
    ' below, we know that the array is
    ' unsorted.
    '''''''''''''''''''''''''''''''''''''''''''''
    If descending = True Then
        StrCompResultFail = -1
        NumericResultFail = False
    Else
        StrCompResultFail = 1
        NumericResultFail = True
    End If
    
    ''''''''''''''''''''''''''''''''''''''''''''''
    ' Determine whether we are going to do a string
    ' comparison or a numeric comparison.
    ''''''''''''''''''''''''''''''''''''''''''''''
    VType = VarType(TestArray(LBound(TestArray)))
    Select Case VType
        Case vbArray, vbDataObject, vbEmpty, vbError, vbNull, vbObject, vbUserDefinedType
        '''''''''''''''''''''''''''''''''
        ' Unsupported types. Reutrn Null.
        '''''''''''''''''''''''''''''''''
            IsArraySorted = Null
            Exit Function
        Case vbString, vbVariant
        '''''''''''''''''''''''''''''''''
        ' Compare as string
        '''''''''''''''''''''''''''''''''
            IsString = True
        Case Else
        '''''''''''''''''''''''''''''''''
        ' Compare as numeric
        '''''''''''''''''''''''''''''''''
            IsString = False
    End Select
    
    For Ndx = LBound(TestArray) To UBound(TestArray) - 1
        If IsString = True Then
            StrCompResult = StrComp(TestArray(Ndx), TestArray(Ndx + 1))
            If StrCompResult = StrCompResultFail Then
                IsArraySorted = False
                Exit Function
            End If
        Else
            NumCompareResult = (TestArray(Ndx) >= TestArray(Ndx + 1))
            If NumCompareResult = NumericResultFail Then
                IsArraySorted = False
                Exit Function
            End If
        End If
    Next Ndx
    
    
    ''''''''''''''''''''''''''''
    ' If we made it out of  the
    ' loop, then the array is
    ' in sorted order. Return
    ' True.
    ''''''''''''''''''''''''''''
    IsArraySorted = True
    
End Function

Public Function CombineTwoDArrays(Arr1 As Variant, _
    Arr2 As Variant) As Variant
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
' TwoArraysToOneArray
' This takes two 2-dimensional arrays, Arr1 and Arr2, and
' returns an array combining the two. The number of Rows
' in the result is NumRows(Arr1) + NumRows(Arr2). Arr1 and
' Arr2 must have the same number of columns, and the result
' array will have that many columns. All the LBounds must
' be the same. E.g.,
' The following arrays are legal:
'        Dim Arr1(0 To 4, 0 To 10)
'        Dim Arr2(0 To 3, 0 To 10)
'
' The following arrays are illegal
'        Dim Arr1(0 To 4, 1 To 10)
'        Dim Arr2(0 To 3, 0 To 10)
'
' The returned result array is Arr1 with additional rows
' appended from Arr2. For example, the arrays
'    a    b        and     e    f
'    c    d                g    h
' become
'    a    b
'    c    d
'    e    f
'    g    h
'
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

    '''''''''''''''''''''''''''''''''
    ' Upper and lower bounds of Arr1.
    '''''''''''''''''''''''''''''''''
    Dim LBoundRow1 As Long
    Dim UBoundRow1 As Long
    Dim LBoundCol1 As Long
    Dim UBoundCol1 As Long
    
    '''''''''''''''''''''''''''''''''
    ' Upper and lower bounds of Arr2.
    '''''''''''''''''''''''''''''''''
    Dim LBoundRow2 As Long
    Dim UBoundRow2 As Long
    Dim LBoundCol2 As Long
    Dim UBoundCol2 As Long
    
    '''''''''''''''''''''''''''''''''''
    ' Upper and lower bounds of Result.
    '''''''''''''''''''''''''''''''''''
    Dim LBoundRowResult As Long
    Dim UBoundRowResult As Long
    Dim LBoundColResult As Long
    Dim UBoundColResult As Long
    
    '''''''''''''''''
    ' Index Variables
    '''''''''''''''''
    Dim RowNdx1 As Long
    Dim ColNdx1 As Long
    Dim RowNdx2 As Long
    Dim ColNdx2 As Long
    Dim RowNdxResult As Long
    Dim ColNdxResult As Long
    
    
    '''''''''''''
    ' Array Sizes
    '''''''''''''
    Dim NumRows1 As Long
    Dim NumCols1 As Long
    
    Dim NumRows2 As Long
    Dim NumCols2 As Long
    
    Dim NumRowsResult As Long
    Dim NumColsResult As Long
    
    Dim Done As Boolean
    Dim result() As Variant
    Dim ResultTrans() As Variant
    
    Dim v As Variant
    
    
    '''''''''''''''''''''''''''''''
    ' Ensure that Arr1 and Arr2 are
    ' arrays.
    ''''''''''''''''''''''''''''''
    If (IsArray(Arr1) = False) Or (IsArray(Arr2) = False) Then
        CombineTwoDArrays = Null
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''
    ' Ensure both arrays are allocated
    ' two dimensional arrays.
    ''''''''''''''''''''''''''''''''''
    If (NumberOfArrayDimensions(Arr1) <> 2) Or (NumberOfArrayDimensions(Arr2) <> 2) Then
        CombineTwoDArrays = Null
        Exit Function
    End If
       
    '''''''''''''''''''''''''''''''''''''''
    ' Ensure that the LBound and UBounds
    ' of the second dimension are the
    ' same for both Arr1 and Arr2.
    '''''''''''''''''''''''''''''''''''''''
    
    ''''''''''''''''''''''''''
    ' Get the existing bounds.
    ''''''''''''''''''''''''''
    LBoundRow1 = LBound(Arr1, 1)
    UBoundRow1 = UBound(Arr1, 1)
    
    LBoundCol1 = LBound(Arr1, 2)
    UBoundCol1 = UBound(Arr1, 2)
    
    LBoundRow2 = LBound(Arr2, 1)
    UBoundRow2 = UBound(Arr2, 1)
    
    LBoundCol2 = LBound(Arr2, 2)
    UBoundCol2 = UBound(Arr2, 2)
    
    ''''''''''''''''''''''''''''''''''''''''''''''''''
    ' Get the total number of rows for the result
    ' array.
    ''''''''''''''''''''''''''''''''''''''''''''''''''
    NumRows1 = UBoundRow1 - LBoundRow1 + 1
    NumCols1 = UBoundCol1 - LBoundCol1 + 1
    NumRows2 = UBoundRow2 - LBoundRow2 + 1
    NumCols2 = UBoundCol2 - LBoundCol2 + 1
    
    '''''''''''''''''''''''''''''''''''''''''
    ' Ensure the number of columns are equal.
    '''''''''''''''''''''''''''''''''''''''''
    If NumCols1 <> NumCols2 Then
        CombineTwoDArrays = Null
        Exit Function
    End If
    
    NumRowsResult = NumRows1 + NumRows2
    
    '''''''''''''''''''''''''''''''''''''''
    ' Ensure that ALL the LBounds are equal.
    ''''''''''''''''''''''''''''''''''''''''
    If (LBoundRow1 <> LBoundRow2) Or _
        (LBoundRow1 <> LBoundCol1) Or _
        (LBoundRow1 <> LBoundCol2) Then
        CombineTwoDArrays = Null
        Exit Function
    End If
    '''''''''''''''''''''''''''''''
    ' Get the LBound of the columns
    ' of the result array.
    '''''''''''''''''''''''''''''''
    LBoundColResult = LBoundRow1
    '''''''''''''''''''''''''''''''
    ' Get the UBound of the columns
    ' of the result array.
    '''''''''''''''''''''''''''''''
    UBoundColResult = UBoundCol1
    
    UBoundRowResult = LBound(Arr1, 1) + NumRows1 + NumRows2 - 1
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ' Redim the Result array to have number of rows equal to
    ' number-of-rows(Arr1) + number-of-rows(Arr2)
    ' and number-of-columns equal to number-of-columns(Arr1)
    '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    ReDim result(LBoundRow1 To UBoundRowResult, LBoundColResult To UBoundColResult)
    
    RowNdxResult = LBound(result, 1) - 1
    
    Done = False
    Do Until Done
        '''''''''''''''''''''''''''''''''''''''''''''
        ' Copy elements of Arr1 to Result
        ''''''''''''''''''''''''''''''''''''''''''''
        For RowNdx1 = LBound(Arr1, 1) To UBound(Arr1, 1)
            RowNdxResult = RowNdxResult + 1
            For ColNdx1 = LBound(Arr1, 2) To UBound(Arr1, 2)
                v = Arr1(RowNdx1, ColNdx1)
                result(RowNdxResult, ColNdx1) = v
            Next ColNdx1
        Next RowNdx1
    
        '''''''''''''''''''''''''''''''''''''''''''''
        ' Copy elements of Arr2 to Result
        '''''''''''''''''''''''''''''''''''''''''''''
        For RowNdx2 = LBound(Arr2, 1) To UBound(Arr2, 1)
            RowNdxResult = RowNdxResult + 1
            For ColNdx2 = LBound(Arr2, 2) To UBound(Arr2, 2)
                v = Arr2(RowNdx2, ColNdx2)
                result(RowNdxResult, ColNdx2) = v
            Next ColNdx2
        Next RowNdx2
       
        If RowNdxResult >= UBound(result, 1) + (LBoundColResult = 1) Then
            Done = True
        End If
    '''''''''''''
    ' End Of Loop
    '''''''''''''
    Loop
    '''''''''''''''''''''''''
    ' Return the Result
    '''''''''''''''''''''''''
    CombineTwoDArrays = result
    
End Function
Function ExpandArray(Arr As Variant, WhichDim As Long, AdditionalElements As Long, _
        FillValue As Variant) As Variant
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
' ExpandArray
' This expands a two-dimensional array in either dimension. It returns the result
' array if successful, or NULL if an error occurred. The original array is never
' changed.
' Paramters:
' --------------------
' Arr                   is the array to be expanded.
'
' WhichDim              is either 1 for additional rows or 2 for
'                       additional columns.
'
' AdditionalElements    is the number of additional rows or columns
'                       to create.
'
' FillValue             is the value to which the new array elements should be
'                       initialized.
'
' You can nest calls to Expand array to expand both the number of rows and
' columns. E.g.,
'
' C = ExpandArray(ExpandArray(Arr:=A, WhichDim:=1, AdditionalElements:=3, FillValue:="R"), _
'    WhichDim:=2, AdditionalElements:=4, FillValue:="C")
' This first adds three rows at the bottom of the array, and then adds four
' columns on the right of the array.
'
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    Dim result As Variant
    Dim RowNdx As Long
    Dim ColNdx As Long
    Dim ResultRowNdx As Long
    Dim ResultColNdx As Long
    Dim numRows As Long
    Dim numCols As Long
    Dim NewUBound As Long
    
    Const ROWS_ As Long = 1
    Const COLS_ As Long = 2
    
    
    ''''''''''''''''''''''''''''
    ' Ensure Arr is an array.
    ''''''''''''''''''''''''''''
    If IsArray(Arr) = False Then
        ExpandArray = Null
        Exit Function
    End If
    '''''''''''''''''''''''''''''''''
    ' Ensure Arr has two dimenesions.
    '''''''''''''''''''''''''''''''''
    If NumberOfArrayDimensions(Arr:=Arr) <> 2 Then
        ExpandArray = Null
        Exit Function
    End If
    '''''''''''''''''''''''''''''''''
    ' Ensure the dimension is 1 or 2.
    '''''''''''''''''''''''''''''''''
    Select Case WhichDim
        Case 1, 2
        Case Else
            ExpandArray = Null
            Exit Function
    End Select
    
    ''''''''''''''''''''''''''''''''''''
    ' Ensure AdditionalElements is > 0.
    ' If AdditionalElements  < 0, return NULL.
    ' If AdditionalElements  = 0, return Arr.
    ''''''''''''''''''''''''''''''''''''
    If AdditionalElements < 0 Then
        ExpandArray = Null
        Exit Function
    End If
    If AdditionalElements = 0 Then
        ExpandArray = Arr
        Exit Function
    End If
       
    numRows = UBound(Arr, 1) - LBound(Arr, 1) + 1
    numCols = UBound(Arr, 2) - LBound(Arr, 2) + 1
      
    If WhichDim = ROWS_ Then
        '''''''''''''''
        ' Redim Result.
        '''''''''''''''
        ReDim result(LBound(Arr, 1) To UBound(Arr, 1) + AdditionalElements, LBound(Arr, 2) To UBound(Arr, 2))
        ''''''''''''''''''''''''''''''
        ' Transfer Arr array to Result
        ''''''''''''''''''''''''''''''
        For RowNdx = LBound(Arr, 1) To UBound(Arr, 1)
            For ColNdx = LBound(Arr, 2) To UBound(Arr, 2)
                result(RowNdx, ColNdx) = Arr(RowNdx, ColNdx)
            Next ColNdx
        Next RowNdx
        '''''''''''''''''''''''''''''''
        ' Fill the rest of the result
        ' array with FillValue.
        '''''''''''''''''''''''''''''''
        For RowNdx = UBound(Arr, 1) + 1 To UBound(result, 1)
            For ColNdx = LBound(Arr, 2) To UBound(Arr, 2)
                result(RowNdx, ColNdx) = FillValue
            Next ColNdx
        Next RowNdx
    Else
        '''''''''''''''
        ' Redim Result.
        '''''''''''''''
        ReDim result(LBound(Arr, 1) To UBound(Arr, 1), UBound(Arr, 2) + AdditionalElements)
        ''''''''''''''''''''''''''''''
        ' Transfer Arr array to Result
        ''''''''''''''''''''''''''''''
        For RowNdx = LBound(Arr, 1) To UBound(Arr, 1)
            For ColNdx = LBound(Arr, 2) To UBound(Arr, 2)
                result(RowNdx, ColNdx) = Arr(RowNdx, ColNdx)
            Next ColNdx
        Next RowNdx
        '''''''''''''''''''''''''''''''
        ' Fill the rest of the result
        ' array with FillValue.
        '''''''''''''''''''''''''''''''
        For RowNdx = LBound(Arr, 1) To UBound(Arr, 1)
            For ColNdx = UBound(Arr, 2) + 1 To UBound(result, 2)
                result(RowNdx, ColNdx) = FillValue
            Next ColNdx
        Next RowNdx
       
    End If
    ''''''''''''''''''''
    ' Return the result.
    ''''''''''''''''''''
    ExpandArray = result
    
End Function
Function SwapArrayRows(Arr As Variant, Row1 As Long, Row2 As Long) As Variant
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
' SwapArrayRows
' This function returns an array based on Arr with Row1 and Row2 swapped.
' It returns the result array or NULL if an error occurred.
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    Dim v As Variant
    Dim result As Variant
    Dim RowNdx As Long
    Dim ColNdx As Long
    
    '''''''''''''''''''''''''
    ' Ensure Arr is an array.
    '''''''''''''''''''''''''
    If IsArray(Arr) = False Then
        SwapArrayRows = Null
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''
    ' Set Result to Arr
    ''''''''''''''''''''''''''''''''
    result = Arr
    
    ''''''''''''''''''''''''''''''''
    ' Ensure Arr is two-dimensional.
    ''''''''''''''''''''''''''''''''
    If NumberOfArrayDimensions(Arr:=Arr) <> 2 Then
        SwapArrayRows = Null
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''
    ' Ensure Row1 and Row2 are less
    ' than or equal to the number of
    ' rows.
    ''''''''''''''''''''''''''''''''
    If (Row1 > UBound(Arr, 1)) Or (Row2 > UBound(Arr, 1)) Then
        SwapArrayRows = Null
        Exit Function
    End If
       
    '''''''''''''''''''''''''''''''''
    ' If Row1 = Row2, just return the
    ' array and exit. Nothing to do.
    '''''''''''''''''''''''''''''''''
    If Row1 = Row2 Then
        SwapArrayRows = Arr
        Exit Function
    End If
    
    '''''''''''''''''''''''''''''''''''''''''
    ' Redim V to the number of columns.
    '''''''''''''''''''''''''''''''''''''''''
    ReDim v(LBound(Arr, 2) To UBound(Arr, 2))
    '''''''''''''''''''''''''''''''''''''''''
    ' Put Row1 in V
    '''''''''''''''''''''''''''''''''''''''''
    For ColNdx = LBound(Arr, 2) To UBound(Arr, 2)
        v(ColNdx) = Arr(Row1, ColNdx)
        result(Row1, ColNdx) = Arr(Row2, ColNdx)
        result(Row2, ColNdx) = v(ColNdx)
    Next ColNdx
    
    SwapArrayRows = result
    
End Function


Function SwapArrayColumns(Arr As Variant, Col1 As Long, Col2 As Long) As Variant
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
' SwapArrayColumns
' This function returns an array based on Arr with Col1 and Col2 swapped.
' It returns the result array or NULL if an error occurred.
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    Dim v As Variant
    Dim result As Variant
    Dim RowNdx As Long
    Dim ColNdx As Long
    
    '''''''''''''''''''''''''
    ' Ensure Arr is an array.
    '''''''''''''''''''''''''
    If IsArray(Arr) = False Then
        SwapArrayColumns = Null
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''
    ' Set Result to Arr
    ''''''''''''''''''''''''''''''''
    result = Arr
    
    ''''''''''''''''''''''''''''''''
    ' Ensure Arr is two-dimensional.
    ''''''''''''''''''''''''''''''''
    If NumberOfArrayDimensions(Arr:=Arr) <> 2 Then
        SwapArrayColumns = Null
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''
    ' Ensure Row1 and Row2 are less
    ' than or equal to the number of
    ' rows.
    ''''''''''''''''''''''''''''''''
    If (Col1 > UBound(Arr, 2)) Or (Col2 > UBound(Arr, 2)) Then
        SwapArrayColumns = Null
        Exit Function
    End If
       
    '''''''''''''''''''''''''''''''''
    ' If Col1 = Col2, just return the
    ' array and exit. Nothing to do.
    '''''''''''''''''''''''''''''''''
    If Col1 = Col2 Then
        SwapArrayColumns = Arr
        Exit Function
    End If
    
    '''''''''''''''''''''''''''''''''''''''''
    ' Redim V to the number of columns.
    '''''''''''''''''''''''''''''''''''''''''
    ReDim v(LBound(Arr, 1) To UBound(Arr, 1))
    '''''''''''''''''''''''''''''''''''''''''
    ' Put Col2 in V
    '''''''''''''''''''''''''''''''''''''''''
    For RowNdx = LBound(Arr, 1) To UBound(Arr, 1)
        v(RowNdx) = Arr(RowNdx, Col1)
        result(RowNdx, Col1) = Arr(RowNdx, Col2)
        result(RowNdx, Col2) = v(RowNdx)
    Next RowNdx
    
    SwapArrayColumns = result
    
End Function
Function GetColumn(Arr As Variant, ResultArr As Variant, ColumnNumber As Long) As Boolean
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
' GetColumn
' This populates ResultArr with a one-dimensional array that is the
' specified column of Arr. The existing contents of ResultArr are
' destroyed. ResultArr must be a dynamic array.
' Returns True or False indicating success.
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    Dim RowNdx As Long
    ''''''''''''''''''''''''''''''
    ' Ensure Arr is an array.
    ''''''''''''''''''''''''''''''
    If IsArray(Arr) = False Then
        GetColumn = False
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''
    ' Ensure Arr is a two-dimensional
    ' array.
    ''''''''''''''''''''''''''''''''''
    If NumberOfArrayDimensions(Arr) <> 2 Then
        GetColumn = False
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''
    ' Ensure ResultArr is a dynamic
    ' array.
    ''''''''''''''''''''''''''''''''''
    If IsArrayDynamic(ResultArr) = False Then
        GetColumn = False
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''
    ' Ensure ColumnNumber is less than
    ' or equal to the number of columns.
    ''''''''''''''''''''''''''''''''''''
    If UBound(Arr, 2) < ColumnNumber Then
        GetColumn = False
        Exit Function
    End If
    If LBound(Arr, 2) > ColumnNumber Then
        GetColumn = False
        Exit Function
    End If
    
    Erase ResultArr
    ReDim ResultArr(LBound(Arr, 1) To UBound(Arr, 1))
    For RowNdx = LBound(ResultArr) To UBound(ResultArr)
        ResultArr(RowNdx) = Arr(RowNdx, ColumnNumber)
    Next RowNdx
    
    GetColumn = True
    
    
End Function


Function GetRow(Arr As Variant, ResultArr As Variant, RowNumber As Long) As Boolean
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
' GetRow
' This populates ResultArr with a one-dimensional array that is the
' specified row of Arr. The existing contents of ResultArr are
' destroyed. ResultArr must be a dynamic array.
' Returns True or False indicating success.
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    Dim ColNdx As Long
    ''''''''''''''''''''''''''''''
    ' Ensure Arr is an array.
    ''''''''''''''''''''''''''''''
    If IsArray(Arr) = False Then
        GetRow = False
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''
    ' Ensure Arr is a two-dimensional
    ' array.
    ''''''''''''''''''''''''''''''''''
    If NumberOfArrayDimensions(Arr) <> 2 Then
        GetRow = False
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''
    ' Ensure ResultArr is a dynamic
    ' array.
    ''''''''''''''''''''''''''''''''''
    If IsArrayDynamic(ResultArr) = False Then
        GetRow = False
        Exit Function
    End If
    
    ''''''''''''''''''''''''''''''''''''
    ' Ensure ColumnNumber is less than
    ' or equal to the number of columns.
    ''''''''''''''''''''''''''''''''''''
    If UBound(Arr, 1) < RowNumber Then
        GetRow = False
        Exit Function
    End If
    If LBound(Arr, 1) > RowNumber Then
        GetRow = False
        Exit Function
    End If
    
    Erase ResultArr
    ReDim ResultArr(LBound(Arr, 2) To UBound(Arr, 2))
    For ColNdx = LBound(ResultArr) To UBound(ResultArr)
        ResultArr(ColNdx) = Arr(RowNumber, ColNdx)
    Next ColNdx
    
    GetRow = True
    
    
End Function