
well said brandon. FMA support is absolutely a mathematical accuracy and
performance engineering thing (except when it hinder performance ). It is
worth noting that most modern CPUS support several *different* versions of
the FMA operation, but thats beyond the scope / goal of this proposal I
think.
but yeah, for all of Num's warts, probably the right place to put it, with
a default implementation in terms of * and + (and compiler supplied primops
for applicable prelude types)
On Fri, May 1, 2015 at 2:11 PM, Brandon Allbery
On Fri, May 1, 2015 at 5:52 PM, David Feuer
wrote: I'm somewhat opposed to the Num class in general, and very much opposed to calling floating point representations "numbers" in particular. How are they numbers when they don't obey associative or distributive laws, let alone cancellation, commutativity, ....? I know Carter
TBH I think Num is a lost cause. If you want mathematical numbers, set up a parallel class instead of trying to force a class designed for numbers "in the wild" to be a pure theory class.
This operation in particular is *all about* numbers in the wild --- it has no place in theory, it's an optimization for hardware implementations.
-- brandon s allbery kf8nh sine nomine associates allbery.b@gmail.com ballbery@sinenomine.net unix, openafs, kerberos, infrastructure, xmonad http://sinenomine.net
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