When we convert a float to integer in visual basic 6.0, how does it round off the fractional part? I am talkin about the automatic type conversion.
If we assign like
The changed behaviour sounds worrying indeed, however the correct answer surley is 6. Scroll down to "Round to even method" on Wikipedia, Rounding for an explanation.
Part of this is in the VB6 help: topic Type Conversion Functions. Unfortunately it's one of the topics that's not in the VB6 documentation on the MSDN website, but if you've installed the help with VB6, it will be there.
When the fractional part is exactly 0.5, CInt and CLng always round it to the nearest even number. For example, 0.5 rounds to 0, and 1.5 rounds to 2. CInt and CLng differ from the Fix and Int functions, which truncate, rather than round, the fractional part of a number. Also, Fix and Int always return a value of the same type as is passed in.
Implicit type coercion - a.k.a. "evil type coercion (PDF)" - from a floating point number to a whole number uses the same rounding rules as CInt and CLng. This behaviour doesn't seem to be documented anywhere in the manual.
If you want to round up when the fractional part is >= 0.5, and down otherwise, a simple way to do it is
n = Int(x + 0.5)
And off the top of my head, here's my briefer version of Mike Spross's function which is a replacement for the VB6 Round function.
'Function corrected, now it works.
Public Function RoundNumber(ByVal value As Currency, Optional PlacesAfterDecimal As Integer = 0) As Currency
Dim nMultiplier As Long
nMultiplier = 10 ^ PlacesAfterDecimal
RoundNumber = Fix(0.5 * Sgn(value) + value * nMultiplier) / CDbl(nMultiplier)
End Function
Sample output:
Debug.Print RoundNumber(1.6) '2'
Debug.Print RoundNumber(-4.8) '-5'
Debug.Print RoundNumber(101.7) '102'
Debug.Print RoundNumber(12.535, 2) '12.54'
The VB6 Round() function uses a Banker's Rounding method. MS KB Article 225330 (http://support.microsoft.com/kb/225330) talks about this indirectly by comparing VBA in Office 2000 to Excel's native behavior and describes it this way:
When a number with an even integer ends in .5, Visual Basic rounds the number (down) to the nearest even whole number. [...] This difference [between VBA and Excel] is only for numbers ending in a .5 and is the same with other fractional numbers.
If you need different behavior, I'm afraid you'll have to have to specify it yourself.
As others have already pointed out, the "weird behavior" you're seeing is due to the fact that VB6 uses Banker's Rounding when rounding fractional values.
Update 2 : Adding CInt makes no difference. CInt(5.5) gives 6 and Cint(8.5) gives 8!!
That is also normal. CInt
always rounds (again using the Banker's Rounding method) before performing a conversion.
If you have a number with a fractional part and simply want to truncate it (ignore the portion after the decimal point), you can use either the Fix
or the Int
function:
Fix(1.5) = 1
Fix(300.4) = 300
Fix(-12.394) = -12
Int
works the same way as Fix
, except for the fact that it rounds negative numbers down to the next-lowest negative number:
Int(1.5) = 1
Int(300.4) = 300
Int(-12.394) = -13
If you actually want to round a number according to the rules most people are familiar with, you will have to write your own function to do it. Below is an example rounding that will round up when the fractional part is greater than or equal to .5, and round down otherwise:
EDIT: See MarkJ's answer for a much simpler (and probably faster) version of this function.
' Rounds value to the specified number of places'
' Probably could be optimized. I just wrote it off the top of my head,'
' but it seems to work.'
Public Function RoundNumber(ByVal value As Double, Optional PlacesAfterDecimal As Integer = 0) As Double
Dim expandedValue As Double
Dim returnValue As Double
Dim bRoundUp As Boolean
expandedValue = value
expandedValue = expandedValue * 10 ^ (PlacesAfterDecimal + 1)
expandedValue = Fix(expandedValue)
bRoundUp = (Abs(expandedValue) Mod 10) >= 5
If bRoundUp Then
expandedValue = (Fix(expandedValue / 10) + Sgn(value)) * 10
Else
expandedValue = Fix(expandedValue / 10) * 10
End If
returnValue = expandedValue / 10 ^ (PlacesAfterDecimal + 1)
RoundNumber = returnValue
End Function
Examples
Debug.Print RoundNumber(1.6) '2'
Debug.Print RoundNumber(-4.8) '-5'
Debug.Print RoundNumber(101.7) '102'
Debug.Print RoundNumber(12.535, 2) '12.54'
Update: After some googling, I came across the following article:
It is not a "bug", it is the way VB was designed to work. It uses something known as Banker's rounding which, if the number ends in exactly 5 and you want to round to the position in front of the 5, it rounds numbers down if the number in front of the 5's position is even and rounds up otherwise. It is supposed to protect against repeated calculation using rounded numbers so that answer aren't always biased upward. For more on this issue than you probably want to know, see this link
http://support.microsoft.com/default.aspx?scid=KB;EN-US;Q196652
This explains the (apparent) weird behavior:
Cint(5.5) 'Should be 6'
Cint(8.5) 'Should be 8'
Old Update:
Perhaps you should be more explicit: use CInt
, instead of simply assigning a float to an integer. E.g:
Dim i as Integer
i = CInt(5.5)
MsgBox i