Is there a way to derive Num class functions in own data type in Haskell? -

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let's have type declaration: 

 data mytype = n double | c char | placeholder

i want able treat mytype double whenever it's possible, num, real, fractional functions resulting in n (normal result) arguments wrapped in n constructor, , placeholder other arguments

> (n 5.0) + (n 6.0) n 11.0 > (n 5.0) + (c 'a') placeholder

is there way other defining class instance of classes in manner similar to: 

instance num mytype   (+) (n d1) (n d2) = n (d1+d2)   (+) _ _ = placeholder   ...

(which seems counter-productive)?

there no generic deriving available in standard haskell: currently, deriving available defined compiler specific prelude typeclasses: read, show, eq, ord, enum, , bounded.

the glasgow haskell compiler (ghc) apparently has extensions support generic deriving. however, don't know if save work try , use them: how many typeclasses need derive num instance from? and, sure can define automatic scheme deriving num want?

as noted in comments, need describe num instance in case. , describing , debugging general scheme more work describing particular one.


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