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sbRandIntFixSum
You want to create lCount random integers between a lower boundary lMin and an upper boundary lMax, and they need to sum up to exactly lSum?
This function is similar to sbLongRandSumN.
Please note that you need to include the program sbRandTriang.
Please read my Disclaimer.
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Function sbRandIntFixSum(lSum As Long, lMin As Long, _
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lMax As Long, Optional lCount As Long = 0, _
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Optional bUseRandTriang As Boolean = True, _
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Optional bVolatile As Boolean = False) As Variant
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'Returns lCount (or selected cell count in case a range is select) random
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'integers between lMin and lMax which sum up to lSum.
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'If bUseRandTriang the sbRandTriang distribution is used to "bias"
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'the randomness to be "less extreme".
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'Error values:
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'#NUM! - No solution exists
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'#VALUE! - lCount is less than 1
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'https://berndplumhoff.gitbook.io/sulprobil/excel/excel-vba-solutions/sbrandintfixsum
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'V0.3 05-Aug-2020 (C) (P) by Bernd Plumhoff
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Dim i As Long
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Dim lRnd As Long, lMinPrev As Long
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Dim lRow As Long, lCol As Long
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With Application.Caller
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If TypeName(Application.Caller) = "Range" And lCount = 0 Then
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lCount = .Count
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ReDim lR(1 To .Rows.Count, 1 To .Columns.Count) As Long
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ElseIf lCount < 1 Then
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sbRandIntFixSum = CVErr(xlErrValue)
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Exit Function
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Else
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ReDim lR(1 To lCount, 1 To 1) As Long
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End If
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End With
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Randomize
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If bVolatile Then Application.Volatile
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With Application.WorksheetFunction
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For lRow = 1 To UBound(lR, 1)
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For lCol = 1 To UBound(lR, 2)
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lMinPrev = lMin
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lMin = .RoundUp(.Max(lMin, .Min(lSum / lCount, lSum / lCount - (lCount - 1) * (lMax - lSum / lCount))), 0)
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lMax = .RoundDown(.Min(lMax, .Max(lSum / lCount, lSum / lCount + (lCount - 1) * (lSum / lCount - lMinPrev))), 0)
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If lMin > lMax Or lSum / lCount <> .Median(lMin, lMax, lSum / lCount) Then
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'No solution exists
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sbRandIntFixSum = CVErr(xlErrNum)
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Exit Function
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End If
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If bUseRandTriang Then
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If lMin = lMax Then
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lRnd = lMin
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Else
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lRnd = Int(sbRandTriang(CDbl(lMin), lSum / lCount, CDbl(lMax)) + 0.5)
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End If
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Else
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lRnd = Int(Rnd() * (lMax - lMin + 1) + lMin)
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End If
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lR(lRow, lCol) = lRnd
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lSum = lSum - lRnd
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lCount = lCount - 1
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Next lCol
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Next lRow
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End With
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sbRandIntFixSum = lR
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End Function
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sbRandIntFixSum.xlsm
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sbRandIntFixSum.xlsm
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