[SCEV] Teach SCEVExpander to expand BinPow
Current implementation of SCEVExpander demonstrates a very naive behavior when it deals with power calculation. For example, a SCEV for x^8 looks like (x * x * x * x * x * x * x * x) If we try to expand it, it generates a very straightforward sequence of muls, like: x2 = mul x, x x3 = mul x2, x x4 = mul x3, x ... x8 = mul x7, x This is a non-efficient way of doing that. A better way is to generate a sequence of binary power calculation. In this case the expanded calculation will look like: x2 = mul x, x x4 = mul x2, x2 x8 = mul x4, x4 In some cases the code size reduction for such SCEVs is dramatic. If we had a loop: x = a; for (int i = 0; i < 3; i++) x = x * x; And this loop have been fully unrolled, we have something like: x = a; x2 = x * x; x4 = x2 * x2; x8 = x4 * x4; The SCEV for x8 is the same as in example above, and if we for some reason want to expand it, we will generate naively 7 multiplications instead of 3. The BinPow expansion algorithm here allows to keep code size reasonable. This patch teaches SCEV Expander to generate a sequence of BinPow multiplications if we have repeating arguments in SCEVMulExpressions. Differential Revision: https://reviews.llvm.org/D34025 llvm-svn: 305663
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