level-index-simulator

sli - A custom precision MATLAB symmetric level-index arithmetic simulator.

About

sli is a MATLAB toolbox that provides sli objects and operations on them.

• sli.m - the main object file.
• tests - various testing scripts that test the accuracy of representation and operations.
• experiments - scripts to reproduce the experiments with level-index arithmetic in [1].

Quick start

x = sli(2,12);
x = x.set_val(pi)
x =

  sli with properties:

    level_bits: 2
    index_bits: 12
          sign: 0
    reciprocal: 1
         level: 2
         index: 0.135253906250000
         value: 3.141899100868418

Installation

Clone the repository and add the root directory to the MATLAB search path.

Requirements

The code was developed on MATLAB 2023b. Experiments make use of the CPFloat package.

References

[1] Mantas Mikaitis. MATLAB Simulator of Level-Index Arithmetic. arXiv:2402.02301 [cs.MS]. Feb. 2024. Accepted for ARITH 2024.

Licence

The code is distributed under the terms of the BSD 2-Clause License; see license.txt.