Array Formula into Regular one - excel

Question

Hi everyone, by using an array formulas to calculate (in the above example):
Count unique customers that had purchased only less than 5 units of only product 1 which area code match only with the adjacent D cells
I Use the following array formula to be in E11:
=SUM(IF(FREQUENCY(IF($G$2:$G$7=D11,
IF($I$2:$I$7="Product 1",IF($J$2:$J$7<5,IF($E$2:$E$7<>"",
MATCH($E$2:$E$7,$E$2:$E$7,0))))),ROW($E$2:$E$7)-ROW(G2)+1),1))
this formula doing great, at the same time when using it thru very huge database containing tons of rows and columns, excel takes a bout 3 minutes to calculate only one cell which is terrible to continue like that
is there any way to convert this array formula to regular one ... any help will be appreciated to the maximum ... Thanks in advance

Answer 1

Sorry for the late answer.
I created an UDF which is focused on doing the calculation several times without running the whole range multiple times.
Public Function getCounts(AreaStr As Variant, AreaRng As Range, CustomerRng As Range, ProductRng As Range, SalesRng As Range, Optional ProductName As String = "Product 1", Optional lessThan As Double = 5) As Variant
'make sure AreaStr is an array
If TypeOf AreaStr Is Range Then AreaStr = AreaStr.Value2
If Not IsArray(AreaStr) Then
AreaStr = Array(AreaStr)
ReDim Preserve AreaStr(1 To 1)
End If
'shorten the range (this way you can use whole columns)
If SalesRng(SalesRng.Cells.Count).Formula = "" Then Set SalesRng = SalesRng.Parent.Range(SalesRng.Cells(1), SalesRng(SalesRng.Cells.Count).End(xlUp))
'make sure all ranges have the same size
Set AreaRng = AreaRng.Resize(SalesRng.Rows.Count)
Set CustomerRng = CustomerRng.Resize(SalesRng.Rows.Count)
Set ProductRng = ProductRng.Resize(SalesRng.Rows.Count)
'Load values in variables to increase speed
Dim SalesValues As Variant, UserValues As Variant, ProductValues As Variant
SalesValues = AreaRng
UserValues = CustomerRng
ProductValues = ProductRng
'create temporary arrays to hold the values
Dim buffer() As Variant, expList() As Variant
ReDim buffer(1 To UBound(UserValues))
ReDim expList(1 To UBound(AreaStr), 1 To 1)
Dim i As Long, j As Double, k As Long
For i = 1 To UBound(AreaStr)
expList(i, 1) = buffer
Next
buffer = Array(buffer, buffer)
buffer(0)(1) = 0
For i = 1 To UBound(UserValues)
If ProductValues(i, 1) = ProductName Then 'this customer purchased our product
j = Application.IfError(Application.Match(UserValues(i, 1), buffer(0), 0), 0)
If j = 0 Then 'first time this customer in this calculation
j = i
buffer(0)(j) = UserValues(i, 1) 'remember the customer name (to not calculate him again later)
If Application.SumIfs(SalesRng, CustomerRng, UserValues(i, 1), ProductRng, ProductName) < lessThan Then
buffer(1)(j) = 1 'customer got less than "lessThan" -> remember that
End If
End If
If buffer(1)(j) = 1 Then 'check if we need to count the customer
k = Application.IfError(Application.Match(SalesValues(i, 1), AreaStr, 0), 0) 'check if the area is one of the areas we are looking for
If k Then expList(k, 1)(j) = 1 'it is -> set 1 for this customer/area combo
End If
End If
Next
For i = 1 To UBound(AreaStr) 'sum each area
expList(i, 1) = Application.Sum(expList(i, 1))
Next
getCounts = expList 'output array
End Function
I assume that you will be able to include it as an UDF without my help.
In the sheet you would use (for your example) E11:E16
=getCounts(D11:D15,G2:G7,E2:E7,I2:I7,J2:J7)
simply select the range of E11:E16 and enter the formula, then confirm it with CSE.
you also could use only =getCounts(D11,$G$2:$G$7,$E$2:$E$7,$I$2:$I$7,$J$2:$J$7) at E11 and then copy down... but that would be pretty slow.
The trick is, that we calculate the sum of the set for every customer, which at least bought it one time. Then we store 1 if it is less then your criteria. This goes for the general array. Every area you are looking for, will get its own array too. Here we also store the 1 at the same pos. As every costomer only gets calculated one time, having him multiple times doesn't matter.
the formula simply will be used like this:
getCounts(AreaStr,AreaRng,CustomerRng,ProductRng,SalesRng,[ProductName],[lessThan])
AreaStr: the area code you are looking for. should be an array of multiple cells to make the udf worth using it
AreaRng: the range where the area names are stored
CustomerRng: the range where the customer names are stored
ProductRng: the range where the product names are stored
SalesRng: the range where the sale counts are stored
ProductName (optional): the product you are looking for. Will be "Product 1" if omited
lessThan (optional): the trigger point for the sum of products. Will be 5 if omited
Most parts should be self explaining, but if you still have any questions, just ask ;)

Answer 2

OK, I am not sure of I understood all of the conditions and accumulation, but here is a VBA function that I think should do it.
First, open VBA from the Excel Developer menu. Then in VBA, create a new module from the Insert menu (just let it be Module1). Then paste the following 2 functions into the VBA module.
Public Function AreaUniqueCustomersLessThan(ReportAreaRange, AreaRange, ProductRange, SalesRange, CustomerRange)
On Error GoTo Err1
Dim RptAreas() As Variant
Dim Areas() As Variant, Products() As Variant, Sales() As Variant, Customers As Variant
RptAreas = ArrayFromRange(ReportAreaRange)
Areas = ArrayFromRange(AreaRange)
Products = ArrayFromRange(ProductRange)
Sales = ArrayFromRange(SalesRange)
Customers = ArrayFromRange(CustomerRange)
Dim r As Long, s As Long 'report and source rows indexes
Dim mxr As Long, mxs As Long
mxr = UBound(RptAreas, 1)
mxs = UBound(Areas, 1)
'encode the ReportAreasList into accumulation array indexes
Dim AreaCustomers() As Collection
Dim i As Long, j As Long
Dim colAreas As New Collection
ReDim AreaCustomers(1 To mxr)
For r = 1 To mxr
On Error Resume Next
'Do we have the area already?
j = colAreas(RptAreas(r, 1))
If Err.Number <> 0 Then
'Add a new area to the collection and array
i = i + 1
colAreas.Add i, RptAreas(r, 1)
Set AreaCustomers(i) = New Collection
j = i
End If
Next r
'now scan the source rows, accumulating distinct customers
' for any ReportAreas
For s = 1 To mxs
'is this row's Arera in the report Area list?
i = 0
On Error Resume Next
i = colAreas(Areas(s, 1))
On Error GoTo Err1
If i > 0 Then
'this is a report Area code, so check the conditions
If Products(s, 1) = "Product 1" Then
If Sales(s, 1) < 5 Then
On Error Resume Next 'just ignore any duplicate errors
AreaCustomers(i).Add Customers(s, 1), Customers(s, 1)
On Error GoTo Err1
End If
End If
End If
Next s
'finally, return to the report area codes, returning the distinct count
' of customers
Dim count() As Variant
ReDim count(1 To mxr, 1 To 1)
For r = 1 To mxr
count(r, 1) = AreaCustomers(colAreas(RptAreas(r, 1))).count
Next r
AreaUniqueCustomersLessThan = count ' "foo"
Exit Function
Err1:
AreaUniqueCustomersLessThan = "%ERR(" & Str(Err.Number) & ")%" & Err.Description
Exit Function
Resume
End Function
'handle all of the cases, checking and conversions to convert
' a variant range into an array of Variant(1 to n, 1 to 1)
' (we do this because it makes data access very fast)
Function ArrayFromRange(varRange As Variant)
Dim rng As Range
Dim A() As Variant
Set rng = varRange
'Check for degenerate cases
If rng Is Nothing Then
'do nothing
ElseIf rng.count = 0 Then
'do nothing
ElseIf rng.count = 1 Then
ReDim A(1 To 1, 1 To 1)
A(1, 1) = rng.Value
Else
A = rng.Value
End If
ArrayFromRange = A
End Function
Finally, go to your Array Formula area and paste in the following Array formula for the "Sales < 5" list: {=AreaUniqueCustomersLessThan(D$11:D$16, G$2:G$7, I$2:I$7,J$2:J$7,E$2:E$7)} Note that the first range must be the same length as the Array Formula range itself. And the other four ranges (the source data ranges) should all be the same length (they do not have to be the same length as the first range).