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AW: [xsl] round-half-to-even problem.

2011-01-24 09:01:15
Thx for your fast response. 
The problem is that I'm writing a transformation that turns an Excel sheet into 
xml.
Unfortunately the excel is filled with formulas.
In the output xml of Office 2007 the number is not 298,16 (which stands in the 
excel sheet) but its 298.15499999999997. 

So I have to find a way to round exactly like Excel does, because the customer 
cares about 1 Cent.

regards


. . . . . . . . . . . . . . . . . . . . . . . . . .
Patrick Szabo
 XSLT-Entwickler 
LexisNexis
Marxergasse 25, 1030 Wien

mailto:patrick(_dot_)szabo(_at_)lexisnexis(_dot_)at
Tel.: +43 (1) 534 52 - 1573 
Fax: +43 (1) 534 52 - 146 


-----Ursprüngliche Nachricht-----

Von: G. Ken Holman [mailto:gkholman(_at_)CraneSoftwrights(_dot_)com] 
Gesendet: Montag, 24. Jänner 2011 15:49
An: xsl-list(_at_)lists(_dot_)mulberrytech(_dot_)com
Betreff: Re: [xsl] round-half-to-even problem. 

At 2011-01-24 15:39 +0100, Szabo, Patrick \(LNG-VIE\) wrote:
I'm using saxon 9 EE and xslt 2.0.
I want to round but I'm getting weird outputs.

Because you aren't "rounding to the closest digit", you are "rounding 
to the closest even parity digit".

My Template looks like this:

<xsl:template match="data">
                <absatz>
                        <xsl:choose>
                                <xsl:when test="@type='Number' and
string-length(substring-after(., '.')) &gt; 2">
                                        <xsl:value-of
select="round-half-to-even(text(), 2)"/>
                                </xsl:when>
                                <xsl:otherwise>
                                        <xsl:apply-templates/>
                                </xsl:otherwise>
                        </xsl:choose>
                </absatz>
</xsl:template>


Example:
<data type="Number">1351.845</data>

Output:
<absatz>1351.84</absatz>

Right ... because the "5" is half-rounding the "4" to "4".  "4" is 
the closest even-parity digit to the value "4.5".  "6" is the closes 
even-parity digit to the value "5.5".

Desired:
<absatz>1351.85</absatz>

Example:
<data type="Number">298.15499999999997</data>

Output:
<absatz>298.16</absatz> <- which is correct or at least what I want.

That surprises me ... I would have expected "298.15" because the next 
digit is not simply "5" or above.  I'm guessing it has to do with the 
binary representation of the number.

Can anybody explain this to why on time it takes the bigger and the next
time the smaller number ?!

Because "round-half-to-even" rounds to an even-parity digit 
(0,2,4,6,8) as you request.

Can I control that somehow ?!

If you are rounding for presentation purposes, then use:

   format-string(.,'.00')

... which rounds the third digit to the second digit simply, where 
"5" goes to the ceiling (a negative number gets smaller, a positive 
number gets bigger).

I hope this helps.

. . . . . . . . . Ken

--
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