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math.NA2023
About the ''accurate mode'' of the IEEE 1788-2015 standard for interval arithmetic
Nathalie Revol
The IEEE 1788-2015 standard for interval arithmetic defines three accuracy modes for the so-called set-based flavor: tightest, accurate and valid. This work in progress focuses on…
cs.MS2023
A framework to test interval arithmetic libraries and their IEEE 1788-2015 compliance
Luis Benet, Luca Ferranti, Nathalie Revol
As developers of libraries implementing interval arithmetic, we faced the same difficulties when it comes to testing our libraries. What must be tested? How can we devise relevant…