/
RealExpr.lhs
307 lines (231 loc) · 5.13 KB
/
RealExpr.lhs
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%include polycode.fmt
%include code.fmt
%if style == newcode
> {-# OPTIONS_GHC -F -pgmF lhs2tex -optF --pre #-}
> module Expr where
%endif
\begin{frame}
%if style /= newcode
\begin{overlayarea}{\textwidth}{0.5\textheight}
\only<1>{
> data Expr where
> Con :: Int -> Expr
> Add :: Expr -> Expr -> Expr
> Mul :: Expr -> Expr -> Expr
> ConFalse :: Expr
> ConTrue :: Expr
> Eq :: Expr -> Expr -> Expr
> If :: Expr -> Expr -> Expr -> Expr
}
\only<2>{
> data Expr a where
> Con :: Int -> Expr Int
> Add :: Expr Int -> Expr Int -> Expr Int
> Mul :: Expr Int -> Expr Int -> Expr Int
> ConFalse :: Expr Bool
> ConTrue :: Expr Bool
> Eq :: Expr Int -> Expr Int -> Expr Bool
> If :: Expr Bool -> Expr a -> Expr a -> Expr a
}
\end{overlayarea}
%endif
\end{frame}
\begin{frame}
%if style /= newcode
\begin{overlayarea}{\textwidth}{0.5\textheight}
\only<1>{
> WhiteSpace
>
> class BoolLike b where
> false :: b
> true :: b
> bool :: a -> a -> b -> a
> instance BoolLike Expr where
> false = ConFalse
> true = ConTrue
> bool x y b = If b y x
}
\only<2>{
> data Bool
>
> class BoolC j where
> false :: j Bool
> true :: j Bool
> bool :: j r -> j r -> j Bool -> j r
> instance BoolC Expr where
> false = ConFalse
> true = ConTrue
> bool x y b = If b y x
}
\end{overlayarea}
%endif
\end{frame}
\begin{frame}
%if style /= newcode
\begin{overlayarea}{\textwidth}{1.0\textheight}
\only<1>{
> WhiteSpace
> data Bool
>
> class BoolC j where
> false :: j Bool
> true :: j Bool
> bool :: j r -> j r -> j Bool -> j r
}
\only<2>{
> WhiteSpace
> data Bool
>
> class BoolC j where
> false :: j Bool
> true :: j Bool
> bool :: j r -> j r -> j Bool -> j r
> data Maybe a
>
> class MaybeC j where
}
\only<3>{
> WhiteSpace
> data Bool
>
> class BoolC j where
> false :: j Bool
> true :: j Bool
> bool :: j r -> j r -> j Bool -> j r
> data Maybe a
>
> class MaybeC j where
> nothing :: j (Maybe a)
}
\only<4>{
> WhiteSpace
> data Bool
>
> class BoolC j where
> false :: j Bool
> true :: j Bool
> bool :: j r -> j r -> j Bool -> j r
> data Maybe a
>
> class MaybeC j where
> nothing :: j (Maybe a)
> just :: j a -> j (Maybe a)
}
\only<5>{
> WhiteSpace
> data Bool
>
> class BoolC j where
> false :: j Bool
> true :: j Bool
> bool :: j r -> j r -> j Bool -> j r
> data Maybe a
>
> class MaybeC j where
> nothing :: j (Maybe a)
> just :: j a -> j (Maybe a)
> maybe :: j r -> (j a -> j r) -> j (Maybe a) -> j r
}
\only<6>{
> WhiteSpace
> data Bool
>
> class BoolC j where
> false :: j Bool
> true :: j Bool
> bool :: j r -> j r -> j Bool -> j r
> data Maybe a
>
> class MaybeC j where
> nothing :: j (Maybe a)
> just :: j a -> j (Maybe a)
> maybe :: j r -> (j a -> j r) -> j (Maybe a) -> j r
> class ListC j where
}
\only<7>{
> WhiteSpace
> data Bool
>
> class BoolC j where
> false :: j Bool
> true :: j Bool
> bool :: j r -> j r -> j Bool -> j r
> data Maybe a
>
> class MaybeC j where
> nothing :: j (Maybe a)
> just :: j a -> j (Maybe a)
> maybe :: j r -> (j a -> j r) -> j (Maybe a) -> j r
> class ListC j where
> nil :: j [a]
}
\only<8>{
> WhiteSpace
> data Bool
>
> class BoolC j where
> false :: j Bool
> true :: j Bool
> bool :: j r -> j r -> j Bool -> j r
> data Maybe a
>
> class MaybeC j where
> nothing :: j (Maybe a)
> just :: j a -> j (Maybe a)
> maybe :: j r -> (j a -> j r) -> j (Maybe a) -> j r
> class ListC j where
> nil :: j [a]
> cons :: j a -> j [a] -> j [a]
}
\only<9>{
> WhiteSpace
> data Bool
>
> class BoolC j where
> false :: j Bool
> true :: j Bool
> bool :: j r -> j r -> j Bool -> j r
> data Maybe a
>
> class MaybeC j where
> nothing :: j (Maybe a)
> just :: j a -> j (Maybe a)
> maybe :: j r -> (j a -> j r) -> j (Maybe a) -> j r
> class ListC j where
> nil :: j [a]
> cons :: j a -> j [a] -> j [a]
> list :: j r -> (j a -> j [a] -> j r) -> j [a] -> j r
}
\end{overlayarea}
%endif
\end{frame}
\begin{frame}
test
%if style /= newcode
> if 2 + 3 == 5
> then 1
> else 0
\pause
%endif
%if style == newcode
> instance Show (Expr a) where
> show (Con x) = "Con " ++ show x
> show (Add x y) = "Add (" ++ show x ++ ") (" ++ show y ++ ")"
> show (Mul x y) = "Mul (" ++ show x ++ ") (" ++ show y ++ ")"
> show (ConFalse) = "ConFalse"
> show (ConTrue) = "ConTrue"
> show (Eq x y) = "Eq (" ++ show x ++ ") (" ++ show y ++ ")"
> show (If p x y) = "If (" ++ show p ++ ") (" ++ show x ++ ") (" ++ show y ++ ")"
> instance Eq (Expr a) where
> Con x == Con y = x == y
> Add x y == Add x' y' = x == x' && y == y'
> Mul x y == Mul x' y' = x == x' && y == y'
> _ == _ = False
> instance Num (Expr Int) where
> fromInteger = Con . fromIntegral
> x + y = Add x y
> x * y = Mul x y
> abs = undefined
> signum = undefined
%endif
\end{frame}