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Summary:
In getRangeForAffineAR we compute ranges for affine exprs E = A + B*C,
where ranges for A, B, and C are known. To avoid overflow, we need to
operate on a bigger bitwidth, and originally we chose 2*x+1 for this
(x being the original bitwidth). However, it is safe to use just 2*x:
A+B*C <= (2^x - 1) + (2^x - 1)*(2^x - 1) =
= 2^x - 1 + 2^2x - 2^x - 2^x + 1 =
= 2^2x - 2^x <= 2^2x - 1
Unnecessary extending of bitwidths results in noticeable slowdowns: ranges
perform arithmetic operations using APInt, which are much slower when bitwidths
are bigger than 64.
Reviewers: sanjoy, majnemer, chandlerc
Subscribers: llvm-commits
Differential Revision: https://reviews.llvm.org/D27795
git-svn-id: https://llvm.org/svn/llvm-project/llvm/trunk@290211 91177308-0d34-0410-b5e6-96231b3b80d8
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