Summary:
This fixes the runtime results produces by the fallback multiplication expansion introduced in r270720.
For tests I created a fuzz tester that compares the results with Boost.Multiprecision.
Reviewers: hfinkel
Subscribers: llvm-commits
Differential Revision: https://reviews.llvm.org/D26628
llvm-svn: 286998
LegalizeIntegerTypes does not have a way to expand multiplications for large
integer types (i.e. larger than twice the native bit width). There's no
standard runtime call to use in that case, and so we'd just assert.
Unfortunately, as it turns out, it is possible to hit this case from
standard-ish C code in rare cases. A particular case a user ran into yesterday
involved an __int128 induction variable and a loop with a quadratic (not
linear) recurrence which triggered some backend logic using SCEVExpander. In
this case, the BinomialCoefficient code in SCEV generates some i129 variables,
which get widened to i256. At a high level, this is not actually good (i.e. the
underlying optimization, PPCLoopPreIncPrep, should not be transforming the loop
in question for performance reasons), but regardless, the backend shouldn't
crash because of cost-modeling issues in the optimizer.
This is a straightforward implementation of the multiplication expansion, based
on the algorithm in Hacker's Delight. I validated it against the code for the
mul256b function from http://locklessinc.com/articles/256bit_arithmetic/ using
random inputs. There should be no functional change for previously-working code
(the new expansion code only replaces an assert).
Fixes PR19797.
llvm-svn: 270720
Pawel Bylica