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float_params2

version 1.0.1 (2.66 KB) by Marco Cococcioni
MATLAB Code for Parameters of Floating-Point Arithmetics

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Updated 10 Jun 2021

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`float_params2` is a MATLAB function for obtaining the parameters of several
floating-point arithmetics. The parameters are built into the code and are
not computed at run time.
The parameters are
- the unit roundoff,
- the smallest positive (subnormal) floating-point number,
- the smallest positive normalized floating-point number,
- the largest floating-point number,
- the number of binary digits in the significand (including the
implicit leading bit)
and the arithmetics supported are
- bfloat8,
- bfloat16,
- IEEE half precision (fp16),
- IEEE single precision (fp32),
- IEEE double precision (fp64),
- IEEE quadruple precision (fp128).
The code was developed in MATLAB R2020a and works with versions at least
back to R2016b.
This is a small extension to float_params of Nick Higham, to which I added the
support to the 8-bit Brain Float, as proposed at Intel by Naveen K. Mellempudi.
More details can be found here: https://arxiv.org/abs/1905.12334
I also renamed NVIDIA tf32 into tf19, just to reflect that it is a 19-bit precision float.

Cite As

Marco Cococcioni (2021). float_params2 (https://www.mathworks.com/matlabcentral/fileexchange/93835-float_params2), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2021a
Compatible with any release
Platform Compatibility
Windows macOS Linux
Acknowledgements

Inspired by: float_params

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