parsers-0.12.11: Parsing combinators
Copyright(c) Edward Kmett 2011-2012
(c) Paolo Martini 2007
(c) Daan Leijen 1999-2001
LicenseBSD-style (see the LICENSE file)
Maintainerekmett@gmail.com
Stabilityexperimental
Portabilitynon-portable
Safe HaskellNone
LanguageHaskell2010

Text.Parser.Expression

Description

A helper module to parse "expressions". Builds a parser given a table of operators and associativities.

Synopsis

Documentation

data Assoc Source #

This data type specifies the associativity of operators: left, right or none.

Instances

Instances details
Bounded Assoc Source # 
Instance details

Defined in Text.Parser.Expression

Enum Assoc Source # 
Instance details

Defined in Text.Parser.Expression

Eq Assoc Source # 
Instance details

Defined in Text.Parser.Expression

Methods

(==) :: Assoc -> Assoc -> Bool #

(/=) :: Assoc -> Assoc -> Bool #

Data Assoc Source # 
Instance details

Defined in Text.Parser.Expression

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Assoc -> c Assoc #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Assoc #

toConstr :: Assoc -> Constr #

dataTypeOf :: Assoc -> DataType #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Assoc) #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Assoc) #

gmapT :: (forall b. Data b => b -> b) -> Assoc -> Assoc #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Assoc -> r #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Assoc -> r #

gmapQ :: (forall d. Data d => d -> u) -> Assoc -> [u] #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Assoc -> u #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Assoc -> m Assoc #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Assoc -> m Assoc #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Assoc -> m Assoc #

Ord Assoc Source # 
Instance details

Defined in Text.Parser.Expression

Methods

compare :: Assoc -> Assoc -> Ordering #

(<) :: Assoc -> Assoc -> Bool #

(<=) :: Assoc -> Assoc -> Bool #

(>) :: Assoc -> Assoc -> Bool #

(>=) :: Assoc -> Assoc -> Bool #

max :: Assoc -> Assoc -> Assoc #

min :: Assoc -> Assoc -> Assoc #

Read Assoc Source # 
Instance details

Defined in Text.Parser.Expression

Show Assoc Source # 
Instance details

Defined in Text.Parser.Expression

Methods

showsPrec :: Int -> Assoc -> ShowS #

show :: Assoc -> String #

showList :: [Assoc] -> ShowS #

Ix Assoc Source # 
Instance details

Defined in Text.Parser.Expression

data Operator m a Source #

This data type specifies operators that work on values of type a. An operator is either binary infix or unary prefix or postfix. A binary operator has also an associated associativity.

Constructors

Infix (m (a -> a -> a)) Assoc 
Prefix (m (a -> a)) 
Postfix (m (a -> a)) 

type OperatorTable m a = [[Operator m a]] Source #

An OperatorTable m a is a list of Operator m a lists. The list is ordered in descending precedence. All operators in one list have the same precedence (but may have a different associativity).

buildExpressionParser :: forall m a. (Parsing m, Applicative m) => OperatorTable m a -> m a -> m a Source #

buildExpressionParser table term builds an expression parser for terms term with operators from table, taking the associativity and precedence specified in table into account. Prefix and postfix operators of the same precedence can only occur once (i.e. --2 is not allowed if - is prefix negate). Prefix and postfix operators of the same precedence associate to the left (i.e. if ++ is postfix increment, than -2++ equals -1, not -3).

The buildExpressionParser takes care of all the complexity involved in building expression parser. Here is an example of an expression parser that handles prefix signs, postfix increment and basic arithmetic.

 import Control.Applicative ((<|>))
 import Text.Parser.Combinators ((<?>))
 import Text.Parser.Expression
 import Text.Parser.Token (TokenParsing, natural, parens, reserve)
 import Text.Parser.Token.Style (emptyOps)

 expr   :: (Monad m, TokenParsing m) => m Integer
 expr    = buildExpressionParser table term
         <?> "expression"

 term   :: (Monad m, TokenParsing m) => m Integer
 term    =  parens expr
         <|> natural
         <?> "simple expression"

 table  :: (Monad m, TokenParsing m) => [[Operator m Integer]]
 table   = [ [prefix "-" negate, prefix "+" id ]
           , [postfix "++" (+1)]
           , [binary "*" (*) AssocLeft, binary "/" (div) AssocLeft ]
           , [binary "+" (+) AssocLeft, binary "-" (-)   AssocLeft ]
           ]

 binary  name fun assoc = Infix (fun <$ reservedOp name) assoc
 prefix  name fun       = Prefix (fun <$ reservedOp name)
 postfix name fun       = Postfix (fun <$ reservedOp name)

 reservedOp name = reserve emptyOps name