Date: Sat, 11 Feb 2017 23:59:46 -0500 From: James Cloos <cloos@...loos.com> To: musl@...ts.openwall.com Subject: catrig There was a recent post on one of the freebsd lists about Stephen Montgomery-Smith's catrig routines: http://faculty.missouri.edu/~stephen/software/#catrig which is based on the paper "Implementing the complex arcsine and arccosine functions using exception handling" by T. E. Hull, Thomas F. Fairgrieve, and Ping Tak Peter Tang, published in ACM Transactions on Mathematical Software, Volume 23 Issue 3, 1997, Pages 299-335, http://dl.acm.org/citation.cfm?id=275324. It looks to be the most accurate catrig code availalbe. Stephen writes that tests indicate that both the real and imaginary parts of the results are good to within 4 ULP, that catrigl.c supports both 80 bit and 128 bit long double but that the float version is occasionally slightly worse that 4 ULP. I don't know how much interest the musl community has in better accuracy for libm, but in case there is interest Stephen's code looks like a good choice. And I see musl already uses freebsd libm code for some of the complex trig. -JimC -- James Cloos <cloos@...loos.com> OpenPGP: 0x997A9F17ED7DAEA6
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