FiniteFloats.jl

using FiniteFloats

julia> a = sqrt(Finite64(2))
1.4142135623730951

julia> typeof(a)
Finite64

julia> b = Finite32(Inf32)
3.4028235f38

julia> b == typemax(Finite32)
true

• Finite64, Finite32, Finite16

In addition to the familiar functions that work with Float64, Float32, Float16,
(comparisions, floating part decompositions, arithmetic, elementary functions)

• square, cube

• string, show,

• typemax, typemin, floatmax, floatmin

• significand, exponent, precision

• prevfloat, nextfloat, isequal, isless

• (==), (!=), (<), (<=), (>=), (>)

• (+), (-), (*), (/), (^)

• inv, div, rem, fld, mod, cld

• round, trunc, ceil, floor (single arg forms)

• abs, signbit, copysign, flipsign, sign

• frexp, ldexp, modf

• min, max, minmax

• clamp, sqrt, cbrt, hypot

• exp, expm1, exp2, exp10

• log, log1p, log2, log10

• sin, cos, tan, csc, sec, cot

• asin, acos, atan, acsc, asec, acot

• sinh, cosh, tanh, csch, sech, coth,

• asinh, acosh, atanh, acsch, asech, acoth

• sind, cosd, tand, cscd, secd, cotd

• asind, acosd, atand, acscd, asecd, acotd

• rad2deg, deg2rad, mod2pi, rem2pi

• sincos, sinc, sinpi, cospi

julia> Float64(0) * inv(Float64(0))
NaN

julia> Finite64(0) * inv(Finite64(0))
0.0

julia> typemax(Finite64) == nextfloat(floatmax(Finite64)) == floatmax(Finite64)
true

Finite64|32|16 are saturating at ±floatmax(T)