openlibm
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JuliaMath
accuracy of double precision functions (binary64)
I am about to release a new update of the accuracy comparison of mathematical functions. It will be with Openlibm 0.7.5, the last release. The previous update (with Openlibm 0.7.4) is available here: https://members.loria.fr/PZimmermann/papers/accuracy.pdf. For double precision, in 0.7.5, there is still a large maximal error for pow (636 ulps) and tgamma (1.03e3 ulps) and huge errors for j0,j1,y0,y1 and lgamma. All other functions have a maximal known error less than 4.04 ulps.
a new version is available, with OpenLibm 0.8.1: https://members.loria.fr/PZimmermann/papers/accuracy.pdf. No major change with respect to the above, except the maximal known error for "other functions" is now 4.08 ulps.
a new version is available, still with OpenLibm 0.8.1: https://members.loria.fr/PZimmermann/papers/accuracy.pdf. The main change is that the LLVM library now implements a few correctly-rounded routines in single precision (log, log10, log2, hypot), and hypot in double precision.
a new version is available, still with OpenLibm 0.8.1: https://members.loria.fr/PZimmermann/papers/accuracy.pdf. The main change is that the LLVM library now implements more correctly-rounded routines in single precision.
a new version is available, still with OpenLibm 0.8.1: https://members.loria.fr/PZimmermann/papers/accuracy.pdf. This is a new version with updated versions of the different libraries and:
- the Microsoft math library is now included (it was clearly missing)
- we also added the FreeBSD math library
- and we added some new C23 functions (acospi, cospi, ...) which are available in the Intel and FreeBSD math libraries
a new version is available, still with OpenLibm 0.8.1: https://members.loria.fr/PZimmermann/papers/accuracy.pdf. This is a new version with updated versions of the different libraries and the ARM Performance Library.