there has been discussions on and off indicating problems with the structure of the number classes in the prelude. i have found a discussion paper by mechveliani but i have not found a concrete proposal on the haskell' list of tickets. i hope i can advance the process by making a concrete proposal for which i attach Haskell code and a pdf giving the rational can be found at ftp://ftp.geoinfo.tuwien.ac.at/frank/numbersPrelude_v1.pdf
if i have not found other contributions, i am sorry and hope to hear about them. i try a conservative structure, which is more conservative than the structure we have used here for several years (or mechveliani's proposal). It suggests classes for units (Zeros, Ones) and CommGroup (for +, -), OrdGroup (for abs and difference), CommRing (for *, sqr), EuclideanRing (for gdc, lcm, quot, rem, div...) and Field (for /). I think the proposed structure could be a foundation for mathematically strict approaches (like mechveliani's) but still be acceptable to 'ordinary users'. i put this proposal for discussion here and hope for suggestions how it can be improved before i put it to haskell'! andrew frank
Numbers.hs
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