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| 1 | +module Expr(Expr, T, parse, fromString, value, toString) where |
| 2 | + |
| 3 | +{- |
| 4 | + An expression of type Expr is a representation of an arithmetic expression |
| 5 | + with integer constants and variables. A variable is a string of upper- |
| 6 | + and lower case letters. The following functions are exported |
| 7 | + |
| 8 | + parse :: Parser Expr |
| 9 | + fromString :: String -> Expr |
| 10 | + toString :: Expr -> String |
| 11 | + value :: Expr -> Dictionary.T String Int -> Int |
| 12 | + |
| 13 | + parse is a parser for expressions as defined by the module Parser. |
| 14 | + It is suitable for use in parsers for languages containing expressions |
| 15 | + as a sublanguage. |
| 16 | + |
| 17 | + fromString expects its argument to contain an expression and returns the |
| 18 | + corresponding Expr. |
| 19 | + |
| 20 | + toString converts an expression to a string without unneccessary |
| 21 | + parentheses and such that fromString (toString e) = e. |
| 22 | + |
| 23 | + value e env evaluates e in an environment env that is represented by a |
| 24 | + Dictionary.T Int. |
| 25 | +-} |
| 26 | +import Prelude hiding (return, fail) |
| 27 | +import Parser hiding (T) |
| 28 | +import qualified Dictionary |
| 29 | + |
| 30 | +data Expr = Num Integer | Var String | Add Expr Expr |
| 31 | + | Sub Expr Expr | Mul Expr Expr | Div Expr Expr |
| 32 | + deriving Show |
| 33 | + |
| 34 | +type T = Expr |
| 35 | + |
| 36 | +var, num, factor, term, expr :: Parser Expr |
| 37 | + |
| 38 | +term', expr' :: Expr -> Parser Expr |
| 39 | + |
| 40 | +var = word >-> Var |
| 41 | + |
| 42 | +num = number >-> Num |
| 43 | + |
| 44 | +mulOp = lit '*' >-> (\_ -> Mul) ! |
| 45 | + lit '/' >-> (\_ -> Div) |
| 46 | + |
| 47 | +addOp = lit '+' >-> (\_ -> Add) ! |
| 48 | + lit '-' >-> (\_ -> Sub) |
| 49 | + |
| 50 | +bldOp e (oper,e') = oper e e' |
| 51 | + |
| 52 | +factor = num ! |
| 53 | + var ! |
| 54 | + lit '(' -# expr #- lit ')' ! |
| 55 | + err "illegal factor" |
| 56 | + |
| 57 | +term' e = mulOp # factor >-> bldOp e #> term' ! return e |
| 58 | +term = factor #> term' |
| 59 | + |
| 60 | +expr' e = addOp # term >-> bldOp e #> expr' ! return e |
| 61 | +expr = term #> expr' |
| 62 | + |
| 63 | +parens cond str = if cond then "(" ++ str ++ ")" else str |
| 64 | + |
| 65 | +shw :: Int -> Expr -> String |
| 66 | +shw prec (Num n) = show n |
| 67 | +shw prec (Var v) = v |
| 68 | +shw prec (Add t u) = parens (prec>5) (shw 5 t ++ "+" ++ shw 5 u) |
| 69 | +shw prec (Sub t u) = parens (prec>5) (shw 5 t ++ "-" ++ shw 6 u) |
| 70 | +shw prec (Mul t u) = parens (prec>6) (shw 6 t ++ "*" ++ shw 6 u) |
| 71 | +shw prec (Div t u) = parens (prec>6) (shw 6 t ++ "/" ++ shw 7 u) |
| 72 | + |
| 73 | +value :: Expr -> Dictionary.T String Integer -> Integer |
| 74 | +value (Num n) _ = error "value not implemented" |
| 75 | + |
| 76 | +instance Parse Expr where |
| 77 | + parse = expr |
| 78 | + toString = shw 0 |
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