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60a50c2585
fabs(), a conditional branch, and sign adjustments of 3 variables for x < 0 when the branch is taken. In double precision, even when the branch is perfectly predicted, this saves about 10 cycles or 10% on amd64 (A64) and i386 (A64) for the negative half of the range, but makes little difference for the positive half of the range. In float precision, it also saves about 4 cycles for the positive half of the range on i386, and many more cycles in both halves on amd64 (28 in the negative half and 11 in the positive half for tanf), but the amd64 times for float precision are anomalously slow so the larger improvement is only a side effect. Previous commits arranged for the x < 0 case to be handled simply: - one part of the rounding method uses the magic number 0x1.8p52 instead of the usual 0x1.0p52. The latter is required for large |x|, but it doesn't work for negative x and we don't need it for large |x|. - another part of the rounding method no longer needs to add `half'. It would have needed to add -half for negative x. - removing the "quick check no cancellation" in the double precision case removed the need to take the absolute value of the quadrant number. Add my noncopyright in e_rem_pio2.c |
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