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Factorial – The factorial of a number

Factorial – The factorial of a number

' The factorial of a number'' if NUMBER is negative or >170 it raises an' "subscript out of range" errorFunction Factorial(ByVal number As Long) As Double    Static result(170) As Double        ' this routine is very fast because it    ' caches all the possible results    If result(0) = 0 Then        ' this is the first time it is executed        Dim i As Long        result(0) = 1        ' Factorial(170) is the highest factorial        ' value that can be stored in a Double        For i = 1 To 170            result(i) = result(i - 1) * i        Next    End If        ' just read the result from the cached array    Factorial = result(number)        End Function' *** UPDATE ***' Rick Rothstein (MVP-VB) sent us the following update for the Factorial ' function. It reports whole number results up to an argument value of 27 (a 29-' digit answer containing 23 significant digits) before switching to power-of-' ten notation.' The factorial of a number'' if NUMBER is negative or >170 it raises an' "subscript out of range" errorFunction Factorial(ByVal N As Integer) As Variant    Static Result(170) As Variant    Dim X As Integer    ' this routine is very fast because it    ' caches all the possible results    If Result(0) = 0 Then        ' convert to Decimal data type        Result(0) = CDec(1)        ' Factorial(170) is the highest factorial        ' value that can be stored in a Double        For X = 1 To 170            ' for X<28, calculate using Decimal data            ' type; use Double data type afterwards            If X = 28 Then                Result(28) = 28 * CDbl(Result(27))            Else                Result(X) = X * Result(X - 1)            End If        Next    End If    ' just read the result from the cached array    Factorial = Result(N)End Function

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