Subject: [xsl] Q on XSLT number calculation precision From: Hermann Stamm-Wilbrandt <STAMMW@xxxxxxxxxx> Date: Thu, 17 Feb 2011 23:56:28 +0100 |
Hello, are there any requirements on precision of number calculations for XSLT? 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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