[SCEV] Be less conservative when extending bitwidths for computing ranges.
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 llvm-svn: 290211
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