MicroFloatingPoints

The MicroFloatingPoints package defines the Floatmu parametric type to manipulate IEEE 754 standard-compliant floating-point numbers with a very small size (from 5 bits up to 32 bits).

Adding 0.25 and 2.0 in a floating-point format with 1 bit for the sign (implied), 2 bits for the exponent, and 2 bits for the fractional part (3 bits for the whole significand with the hidden bit), and testing whether the result had to be rounded:

julia> using MicroFloatingPoints

julia> Floatmu{2,2}(0.25)+Floatmu{2,2}(2.0)
2.0

julia> inexact()
true

The package can be installed with the Julia package manager. From the Julia REPL, type ] to enter the Pkg REPL mode and run:

pkg> add MicroFloatingPoints

Or, equivalently, via the Pkg API:

julia> import Pkg; Pkg.add("MicroFloatingPoints")

Note that the matplotlib Python package must be available through PyCall.

The package is developed and has been tested on Julia 1.6 through 1.10.