Accuracy of Mathematical Functions

Paul Zimmermann Paul.Zimmermann@inria.fr
Tue Aug 25 06:46:21 GMT 2026


       Dear all,

a new update of our comparison is available:

https://members.loria.fr/PZimmermann/papers/accuracy.pdf

Main remarks about this update:

* more correctly-rounded functions in GNU libc and LLVM libc

* the Intel Math Library provides some cr_xxx functions: the user can choose
  between the default function (log) and the correctly rounded one (cr_log)

* about two years after the adoption of C23, very few libraries implement
  the new C23 functions

Specific to Newlib, we are still testing 4.6.0, with the following issues:
hypotl(x,0) gives infinity for x >= 2^8192, and C23 functions are still
missing.

Brian Gladman
Vincenzo Innocente
John Mather
Katsuhisa Ozaki
Paul Zimmermann


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