| commit | 98521a5a8f464d90898f7324171d9a78951e7342 | [log] [tgz] |
|---|---|---|
| author | Brian Kessler <brian.m.kessler@gmail.com> | Thu Sep 06 12:06:45 2018 -0600 |
| committer | Robert Griesemer <gri@golang.org> | Thu Dec 13 06:01:42 2018 +0000 |
| tree | 7bad80af703406ea8917c214f99ff545fddc333d | |
| parent | a728b0ba7cf6316e0c2e79f8d725654a40d62081 [diff] |
math: implement trignometric range reduction for huge arguments This change implements Payne-Hanek range reduction by Pi/4 to properly calculate trigonometric functions of huge arguments. The implementation is based on: "ARGUMENT REDUCTION FOR HUGE ARGUMENTS: Good to the Last Bit" K. C. Ng et al, March 24, 1992 The major difference with the reference is that the simulated multi-precision calculation of x*B is implemented using 64-bit integer arithmetic rather than floating point to ease extraction of the relevant bits of 4/Pi. The assembly implementations for 386 were removed since the trigonometric instructions only use a 66-bit representation of Pi internally for reduction. It is not possible to use these instructions and maintain accuracy without a prior accurate reduction in software as recommended by Intel. Fixes #6794 Change-Id: I31bf1369e0578891d738c5473447fe9b10560196 Reviewed-on: https://go-review.googlesource.com/c/153059 Reviewed-by: Robert Griesemer <gri@golang.org> Run-TryBot: Robert Griesemer <gri@golang.org> TryBot-Result: Gobot Gobot <gobot@golang.org>
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