interface Numeric where {

interface ! Numeric
{-# NEED readHex #-}
readHex{-# 0 #-}::(Prelude.Integral a) => (Prelude.ReadS a);

{-# NEED showInt #-}
showInt{-# 0 #-}::(Prelude.Integral a) => (a -> Prelude.ShowS);

{-# NEED readInt #-}
readInt{-# 4 #-}::(Prelude.Integral a) => (a -> ((Prelude.Char -> Prelude.Bool) -> ((Prelude.Char -> Prelude.Int) -> (Prelude.ReadS a))));

{-# NEED readOct #-}
readOct{-# 0 #-}::(Prelude.Integral a) => (Prelude.ReadS a);

{-# NEED showFloat #-}
showFloat{-# 0 #-}::(Prelude.RealFloat a) => (a -> Prelude.ShowS);

{-# NEED readFloat #-}
readFloat{-# 1 #-}::(Prelude.RealFrac a) => (Prelude.ReadS a);

{-# NEED showGFloat #-}
showGFloat{-# 2 #-}::(Prelude.RealFloat a) => ((Prelude.Maybe Prelude.Int) -> (a -> Prelude.ShowS));

{-# NEED showFFloat #-}
showFFloat{-# 2 #-}::(Prelude.RealFloat a) => ((Prelude.Maybe Prelude.Int) -> (a -> Prelude.ShowS));

{-# NEED showEFloat #-}
showEFloat{-# 2 #-}::(Prelude.RealFloat a) => ((Prelude.Maybe Prelude.Int) -> (a -> Prelude.ShowS));

{-# NEED fromRat #-}
fromRat{-# 1 #-}::(Prelude.RealFloat a) => (Ratio.Rational -> a);
interface Ratio
{-# NEED Rational #-}
type {-# 1 #-} Rational = (Ratio.Ratio Prelude.Integer);

{-# NEED Ratio #-}
data Ratio a;
interface ! Numeric
{-# NEED lexDigits #-}
lexDigits{-# 0 #-}::(Prelude.ReadS Prelude.String);

{-# NEED floatToDigits #-}
floatToDigits{-# 2 #-}::(Prelude.RealFloat a) => (Prelude.Integer -> (a -> ([Prelude.Int],Prelude.Int)));

{-# NEED showIntAtBase #-}
showIntAtBase{-# 4 #-}::(Prelude.Integral a) => (a -> ((Prelude.Int -> Prelude.Char) -> (a -> Prelude.ShowS)));

{-# NEED showHex #-}
showHex{-# 0 #-}::(Prelude.Integral a) => (a -> Prelude.ShowS);

{-# NEED showOct #-}
showOct{-# 0 #-}::(Prelude.Integral a) => (a -> Prelude.ShowS);

{-# NEED showBin #-}
showBin{-# 0 #-}::(Prelude.Integral a) => (a -> Prelude.ShowS);

{-# NEED showSigned #-}
showSigned{-# 3 #-}::(Prelude.Real a) => ((a -> Prelude.ShowS) -> (Prelude.Int -> (a -> Prelude.ShowS)));

{-# NEED readSigned #-}
readSigned{-# 1 #-}::(Prelude.Real a) => ((Prelude.ReadS a) -> (Prelude.ReadS a));

{-# NEED readDec #-}
readDec{-# 0 #-}::(Prelude.Integral a) => (Prelude.ReadS a);
}