SumProduct over sets of cells (not contiguous)
I agree with the comment "It might be possible with masterful excel-fu, but even if it can be done, it's not likely to be more readable than your original solution"
A possible solution is to embed the CHOOSE()
function within your SUMPRODUCT
(this trick actually is pretty handy for vlookups, finding conditional maximums, etc.).
Example:
Let's say your data has eight observations and is in two columns (columns B and C) but you don't want to include some observations (exclude observations in rows 4 and 5). Then the SUMPRODUCT
code looks like this...
=SUMPRODUCT(CHOOSE({1,2},A1:A3,A6:A8),CHOOSE({1,2},B1:B3,B6:B8))
I actually thought of this on the fly, so I don't know the limitations and as you can see it is not that pretty.
Hope this helps! :)
It might be possible with masterful excel-fu, but even if it can be done, it's not likely to be more readable than your original solution. The problem is that even after 20+ years, Excel still borks discontinuous ranges. Naming them won't work, array formulas won't work and as you see with SUMPRODUCT, they don't generally work in tuple-wise array functions. Your best bet here is to come up with a custom function.
UPDATE
You're question got me thinking about how to handle discontinuous ranges. It's not something I've had to deal with much in the past. I didn't have the time to give a better answer when you asked the question but now that I've got a few minutes, I've whipped up a custom function that will do what you want:
Function gvSUMPRODUCT(ParamArray rng() As Variant)
Dim sumProd As Integer
Dim valuesIndex As Integer
Dim values() As Double
For Each r In rng()
For Each c In r.Cells
On Error GoTo VBAIsSuchAPainInTheAssSometimes
valuesIndex = UBound(values) + 1
On Error GoTo 0
ReDim Preserve values(valuesIndex)
values(valuesIndex) = c.Value
Next c
Next r
If valuesIndex Mod 2 = 1 Then
For i = 0 To (valuesIndex - 1) / 2
sumProd = sumProd + values(i) * values(i + (valuesIndex + 1) / 2)
Next i
gvSUMPRODUCT = sumProd
Exit Function
Else
gvSUMPRODUCT = CVErr(xlErrValue)
Exit Function
End If
VBAIsSuchAPainInTheAssSometimes:
valuesIndex = 0
Resume Next
End Function
Some notes:
- Excel enumerates ranges by column then row so if you have a continuous range where the data is organized by column, you have to select separate ranges: gvSUMPRODUCT(A1:A10,B1:B10) and not gvSUMPRODUCT(A1:B10).
- The function works by pairwise multiplying the first half of cells with the second and then summing those products: gvSUMPRODUCT(A1,C3,L2,B2,G5,F4) = A1*B2 + C3*G5 + L2*F4. I.e. order matters.
- You could extend the function to include n-wise multiplication by doing something like gvNSUMPRODUCT(n,ranges).
- If there are an odd number of cells (not ranges), it returns the #VALUE error.