For use of ciphers (SHA-256, RSA-2048, etc.), a type must be able to be injectively mapped to integers. It seems `Enum` is currently the closest thing that does this. But `Enum` is supposed to be for arithmetic sequences, so it seems better to define a new typeclass. (Here named `Cipherable`) There are some types that aren't members of `Enum`. For example, `Maybe`, `[]`, etc. They seem okay to be Cipherable. Hence:
{-# LANGUAGE ScopedTypeVariables #-} instance Cipherable a => Cipherable (Maybe a) where toEnum 0 = Nothing toEnum n = Just (toEnum n) fromEnum Nothing = 0 fromEnum (Just x) = 1 + fromEnum x instance forall a. (Cipherable a, Bounded a) => Cipherable [a] where toEnum 0 = [] toEnum n = let (q,r) = (n-1) `quotRem` (1 + fromEnum (maxBound :: a)) in toEnum r : toEnum q fromEnum [] = 0 fromEnum (x:xs) = 1 + fromEnum x + (1 + fromEnum (maxBound :: a)) * fromEnum xs instance Cipherable Void where toEnum = errorWithoutStackTrace "Cipher.Cipherable.Void.toEnum" fromEnum = absurd (Besides, it is possible to re-write that of `[]` without ScopedTypeVariables? I see no way...) _______________________________________________ Libraries mailing list [hidden email] http://mail.haskell.org/cgi-bin/mailman/listinfo/libraries |
For use of ciphers (SHA-256, RSA-2048, etc.), a type must be able to be injectively mapped to integers. It seems `Enum` is currently the closest thing that does this.
Here, `Cipherable` has `deCipher :: Natural -> a` and `enCipher :: a -> Natural`. _______________________________________________ Libraries mailing list [hidden email] http://mail.haskell.org/cgi-bin/mailman/listinfo/libraries |
For use of ciphers (SHA-256, RSA-2048, etc.), a type must be able to be injectively mapped to integers. It seems `Enum` is currently the closest thing that does this.
Here, `Cipherable` has `deCipher :: Natural -> a` and `enCipher :: a -> Natural`. _______________________________________________ Libraries mailing list [hidden email] http://mail.haskell.org/cgi-bin/mailman/listinfo/libraries |
On Sun, 29 Jul 2018, 박신환 wrote: > instance forall a. (Cipherable a, Bounded a) => Cipherable [a] where > deCipher 0 = [] > deCipher n = let > (q,r) = (n-1) `quotRem` (1 + enCipher (maxBound :: a)) > in deCipher r : deCipher q let (q,r) = (n-1) `quotRem` (1 + enCipher (maxBound `asTypeOf` rd)) rd = deCipher r in rd : deCipher q > enCipher [] = 0 > enCipher (x:xs) = 1 + enCipher x + (1 + enCipher (maxBound :: a)) * fromEnum xs maxBound `asTypeOf` x _______________________________________________ Libraries mailing list [hidden email] http://mail.haskell.org/cgi-bin/mailman/listinfo/libraries |
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