Using Brandon's code as a starting point (as it's far neater than
mine), let's try asking some questions about fractions (I've included
the whole program at the end).
questions = [ addition 1 2, addition (1%2) (1%3) ]
This works, but the the fractions are shown as "1 % 2" and to make it
presentable to non-Haskellers, we have to change that to "1/2".
In order to do this, I tried to replace show with my own version which
I call view (in type class View). At this point I get
../arithmetic/hackBrandon.hs:63:23:
Ambiguous type variable `t' in the constraints:
`Num t'
arising from the literal `1'
at ../arithmetic/hackBrandon.hs:63:23
`View t'
arising from a use of `addition'
at ../arithmetic/hackBrandon.hs:63:14-25
`Read t'
arising from a use of `addition'
at ../arithmetic/hackBrandon.hs:63:14-25
Probable fix: add a type signature that fixes these type
variable(s)
My problem is that I don't see where I could add a type signature, but
still keep
addition :: a -> a -> Question
polymorphic.
======= Here's the code demonstrating the problem =====
{-# LANGUAGE NoMonomorphismRestriction #-}
import System.IO (hFlush, stdout)
import Data.Ratio
data Result = Correct | Improve String | Huh String | Incorrect String
deriving Show
data Question = Question { ask :: String
, answer :: String
, check :: String -> Result }
bool2result True = Correct
bool2result False = Incorrect ""
readCheckBy :: (Read a) => (a -> Bool) -> String -> Result
readCheckBy pred str =
case reads str of [(val,"")] -> bool2result (pred val)
_ -> Huh ""
readCheck :: (Read a, Eq a) => a -> String -> Result
readCheck v s = readCheckBy (==v) s
-- customized show
class View a where
view :: a -> String
instance View Int where
view = show
instance (Integral n) => View (Ratio n) where
view = show
-- helpers
value val prompt = Question prompt (view val) (readCheck val)
infix2 op symbol a b = value (op a b) (unwords [view a, symbol, view b])
addParam :: (View a) => (funTy -> String -> qty) -> (a -> funTy) ->
String -> (a -> qty)
addParam qmakr fun string v = qmakr (fun v) (string++" "++view v)
prefix1 = addParam value
prefix2 = addParam prefix1
prefix3 = addParam prefix2
-- question 'types'
addition = infix2 (+) "+"
questions = [ addition 1 2
, addition (1%2) (1%3)
]
test :: Question -> IO ()
test q = do
putStr $ ask q ++ " = "
hFlush stdout
reply <- getLine
putStrLn $ show $ check q reply
main = mapM_ test questions
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