Floating-Point Parameters - MATLAB Code for Parameters of Floating-Point Arithmetics

About

float_params 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, xmins,
• the smallest positive normalized floating-point number, xmin,
• the largest floating-point number, xmax,
• the number of binary digits in the significand (including the implicit leading bit),
• the exponent of xmins,
• the exponent of xmin,
• the exponent of xmax

and the arithmetics supported are

• NVIDIA quarter precision (fp8-e4m3, fp8-e5m2),
• bfloat16,
• IEEE half precision (fp16),
• NVIDIA tf32,
• 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.

License

See license.txt for licensing information.