RE: Rounding up to nearest 1000

Ahhhhh,

I feel better now.  I was beginning to feel like the universe didn't
make any sense.  

Thanks

|-----Original Message-----
|From: rpg400-l-bounces@xxxxxxxxxxxx
[mailto:rpg400-l-bounces@xxxxxxxxxxxx]
|On Behalf Of AGlauser@xxxxxxxxxxxx
|Sent: Friday, November 10, 2006 3:01 PM
|To: RPG programming on the AS400 / iSeries
|Subject: RE: Rounding up to nearest 1000
|
|Greg Fleming wrote on 10/11/2006 02:46:38 PM:
|
|> I'm trying that out using my trusty calculator, and I'm not ending up
|> with a round number.
|>
|> Say I want to round 1461 up to the nearest thousand, which would be
|> 2000.
|> So N is 1461 and S = 1000
|>
|> Temp = 1461 + 1000/2
|> Temp = 1461 + 500
|> Temp = 1961
|> Result = (1961/1000) * 1000
|> Result = 1961 ?
|>
|> Did I do something wrong ?
|
|Yes:
|> |I think this has to use 'integer division' to work.
|
|I no longer just _think_ that.  Thanks for confirming :)  When I say
|integer division - I mean that 1961 / 1000 = 1, not 1.961.  That is,
|ignore the remainder.
|
|Therefore:
|> Temp = 1461 + 1000/2
|> Temp = 1461 + 500
|> Temp = 1961
|> Result = (1961/1000) * 1000
|                 = ( 1 ) * 1000
|                 = 1000
|
|
| Temp = 1561 + 1000/2
| Temp = 1561 + 500
| Temp = 2061
| Result = (2061/1000) * 1000
|                 = ( 2 ) * 1000
|                 = 2000
|
|It even works for rounding to values that are not powers of ten.  For
|example, N = 19 and S = 15.
|
|temp = 25 + 15/2
|temp = 25 + (7)      - integer division!
|temp = 32
|result = (32 / 15) * 15
|result = (2) * 15
|resutl = 30
|
|HTH,
|Adam
|
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