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authorJorg Brown <jorg@google.com>2019-11-04 19:00:23 -0800
committerJorg Brown <jorg@google.com>2019-11-04 19:00:23 -0800
commit586952f4cefd809b7becd16c6d1e751ea923adfd (patch)
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Optimize std::midpoint for integers
Same idea as the current algorithm, that is, add (half of the difference between a and b) to a. But we use a different technique for computing the difference: we compute b - a into a pair of integers that are named "sign_bit" and "diff". We have to use a pair because subtracting two 32-bit integers produces a 33-bit result. Computing half of that is a simple matter of shifting diff right by 1, and adding sign_bit shifted left by 31. llvm knows how to do that with one instruction: shld. The only tricky part is that if the difference is odd and negative, then shifting it by one isn't the same as dividing it by two - shifting a negative one produces a negative one, for example. So there's one more adjustment: if the sign bit and the low bit of diff are one, we add one. For a demonstration of the codegen difference, see https://godbolt.org/z/7ar3K9 , which also has a built-in test. Differential Revision: https://reviews.llvm.org/D69459
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