\begin{code}
data (Integral a) => Ratio a = !a :% !a deriving (Eq)
+
+-- | Arbitrary-precision rational numbers, represented as a ratio of
+-- two 'Integer' values. A rational number may be constructed using
+-- the '%' operator.
type Rational = Ratio Integer
+
+infinity, notANumber :: Rational
+infinity = 1 :% 0
+notANumber = 0 :% 0
+
+-- Use :%, not % for Inf/NaN; the latter would
+-- immediately lead to a runtime error, because it normalises.
\end{code}