Subject: Re: [xsl] Q on XSLT number calculation precision From: Michel Hendriksen <michel.hendriksen@xxxxxxxxx> Date: Fri, 18 Feb 2011 11:46:57 +0100 |
It might also depend on the order in which calculations are done. Some processors could maybe optimize a bit and change the outcome by doing so. On Fri, Feb 18, 2011 at 1:04 AM, Michael Kay <mike@xxxxxxxxxxxx> wrote: > On 17/02/2011 22:56, Hermann Stamm-Wilbrandt wrote: >> >> Hello, >> >> are there any requirements on precision of number calculations for XSLT? > > Your question actually seems to be about XSLT 1.0. > > XSLT 1.0 requires use of IEEE double precision floating point. But I suspect > there's sufficient wriggle-room that two processors can produce different > results and still claim conformance. > > 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_precisio n.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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