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SIPE: Small Integer Plus Exponent

Vincent Lefèvre 1, * 
* Corresponding author
1 ARIC - Arithmetic and Computing
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
Abstract : SIPE (Small Integer Plus Exponent) is a mini-library in the form of a C header file, to perform floating-point computations in very low precisions with correct rounding to nearest in radix 2. The goal of such a tool is to do proofs of algorithms/properties or computations of tight error bounds in these precisions by exhaustive tests, in order to try to generalize them to higher precisions. The currently supported operations are addition, subtraction, multiplication (possibly with the error term), FMA, and miscellaneous comparisons and conversions. Timing comparisons have been done with hardware IEEE-754 floating point and with GNU MPFR.
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Submitted on : Friday, January 25, 2013 - 2:26:56 AM
Last modification on : Tuesday, October 25, 2022 - 4:23:20 PM
Long-term archiving on: : Friday, April 26, 2013 - 3:54:57 AM



  • HAL Id : hal-00763954, version 3



Vincent Lefèvre. SIPE: Small Integer Plus Exponent. 21th IEEE Symposium on Computer Arithmetic - Arith'21, Apr 2013, Austin, Texas, United States. ⟨hal-00763954v3⟩



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