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by dastbe 3964 days ago
Canonicalization is tough, and requires you to define some common ordering on your units.

Systems will use an array of unit powers, so that if the array were defined as <Joules, Seconds, Newtons, Meters>, then acceleration would be <0,-2,0,1> and watts would be <1,-1,0,0>. Addition and subtraction require that your arrays are equal, and multiplication and division are pairwise additive/subtractive.

2 comments

Is it tough? There are only seven fundamental units. https://en.wikipedia.org/wiki/SI_base_unit

Just represent every unit in terms of them then it's good.

One problem with the array you came up is that the units are not orthogonal, since Joules = Newtons * Meters.

Actually, there's more "kinds" of units: radians (versus degrees) and steradians come to mind.
These are dimensionless derived units in SI equivalence (respectively m/m and m2/m2)
Sorry! I never really spent much time in the physical sciences, so I didn't know that. You would obviously not want to pick Joules as a fundamental unit.
Will the Rust compiler ever understand numbers in types? I.e. will the numbers ever be more than just part of the string that is the type name? If not, then I don't know how possible powers will be. Maybe the solution would be to define some types for commonly-used powers, e.g. PowN4, PowN3, PowN2, PowN1, Pow2, Pow3, Pow4. Users who needed higher powers could define those types themselves, I guess.
We do desire type-level integers, yes. There hasn't been an RFC yet, though.