`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
- 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.
I also renamed NVIDIA tf32 into tf19, just to reflect that it is a 19-bit precision float.