Subject: Re: [xsl] Q on XSLT number calculation precision From: Michael Kay <mike@xxxxxxxxxxxx> Date: Fri, 18 Feb 2011 00:04:55 +0000 |
Hello,
are there any requirements on precision of number calculations for XSLT?
Michael Kay Saxonica
I wrote stylesheet [3] just summing the first 1000 (small) terms of this nice identity on binomial coefficient reciprocals I proved 28 years ago:
$$ \sum_{i=j+1}^{\infty}{}^1/_{i\choose j}={}^1/_{(j-1)} , ~ j\ge 2 $$
Pascal.xml [2] just starts the computation with jmax=12 and terms=1000.
I opened Pascal.xml in the big five browsers, arranged them in order to easily compare their results and took screenshot [3] from that.
Not surprisingly the most left and most right column (Chrome and Safari) are identical (same XSLT engine).
Interestingly Firefox and Internet Explorer produce nearly identical values.
For j<=7 Opera is fine, but for j>=8 something goes really wrong. The sum of the 1000 terms becomes bigger than then infinity sum :-)
[1] http://stamm-wilbrandt.de/en/xsl-list/Chrome_FF_IE_Opera_Safari-XSLT_precision.gif [2] http://stamm-wilbrandt.de/en/blog/Pascal.xml [3] http://stamm-wilbrandt.de/en/blog/Pascal.xsl
Mit besten Gruessen / Best wishes,
Hermann Stamm-Wilbrandt Developer, XML Compiler, L3 Fixpack team lead WebSphere DataPower SOA Appliances ---------------------------------------------------------------------- IBM Deutschland Research& Development GmbH Vorsitzender des Aufsichtsrats: Martin Jetter Geschaeftsfuehrung: Dirk Wittkopp Sitz der Gesellschaft: Boeblingen Registergericht: Amtsgericht Stuttgart, HRB 243294
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