Extra type-level operations on GHC.TypeLits.Nat and a custom solver implemented as a GHC type-checker plugin:
GHC.TypeLits.Extra.Max: type-level maxGHC.TypeLits.Extra.Min: type-level minGHC.TypeLits.Extra.Div: type-level divGHC.TypeLits.Extra.Mod: type-level modGHC.TypeLits.Extra.FLog: type-level equivalent of integerLogBase# .i.e. the exact integer equivalent to "floor (logBase x y)"GHC.TypeLits.Extra.CLog: type-level equivalent of the ceiling of integerLogBase# .i.e. the exact integer equivalent to "ceiling (logBase x y)"- 'GHC.TypeLits.Extra.Log': type-level equivalent of <https://hackage.haskell.org/package/base-4.17.0.0/docs/GHC-Integer-Logarithms.html#v:integerLogBase-35- integerLogBase#>
where the operation only reduces when "
floor (logBase b x) ~ ceiling (logBase b x)" GHC.TypeLits.Extra.GCD: a type-level gcdGHC.TypeLits.Extra.LCM: a type-level lcm