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Quiz: which is better 1 div $x or pow($x,-1)?
- From: Roger L Costello <costello@mitre.org>
- To: "xml-dev@lists.xml.org" <xml-dev@lists.xml.org>
- Date: Sat, 27 Jun 2020 19:12:16 +0000
Hi Folks,
I am writing a Machine Learning (ML) program using XML and XSLT. Part of the program involves evaluating something called a Sigmoid function:
The right-hand side of that expression can be expressed in XPath this way:
1 div (1 + math.exp(-$x))
An equivalent expression is this:
math:pow(1 + math:exp(-$x), -1)
Which expression is better? By "better" I mean any one of these:
-
produces more accurate results
-
is faster
-
is easier to understand, more intuitive
Or, are the two expressions equally good?
Scroll down for the answer …
The first one is better. Here’s why.
They are not equivalent! 1 div 0.0 and math:pow(0.0,-1) produce different results. The first throws an error with the message, “Decimal divide by zero.” The second silently (without error) returns
INF; it might not be till some remote downstream process that the INF finally manifests an error. I want to be informed immediately of an error, so the first is definitely better for me.
Thank you David Carlisle for pointing out this difference to me.
/Roger
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