Agda-2.2.6: A dependently typed functional programming language and proof assistantSource codeContentsIndex
Agda.Utils.ReadP
Contents
The ReadP type
Primitive operations
Parse
Other operations
Properties
Description
Synopsis
data ReadP t a
get :: ReadP t t
look :: ReadP t [t]
(+++) :: ReadP t a -> ReadP t a -> ReadP t a
(<++) :: ReadP t a -> ReadP t a -> ReadP t a
gather :: ReadP t a -> ReadP t ([t], a)
parse :: ReadP t a -> [t] -> [a]
pfail :: ReadP t a
satisfy :: (t -> Bool) -> ReadP t t
char :: Eq t => t -> ReadP t t
string :: Eq t => [t] -> ReadP t [t]
munch :: (t -> Bool) -> ReadP t [t]
munch1 :: (t -> Bool) -> ReadP t [t]
skipSpaces :: ReadP Char ()
choice :: [ReadP t a] -> ReadP t a
count :: Int -> ReadP t a -> ReadP t [a]
between :: ReadP t open -> ReadP t close -> ReadP t a -> ReadP t a
option :: a -> ReadP t a -> ReadP t a
optional :: ReadP t a -> ReadP t ()
many :: ReadP t a -> ReadP t [a]
many1 :: ReadP t a -> ReadP t [a]
skipMany :: ReadP t a -> ReadP t ()
skipMany1 :: ReadP t a -> ReadP t ()
sepBy :: ReadP t a -> ReadP t sep -> ReadP t [a]
sepBy1 :: ReadP t a -> ReadP t sep -> ReadP t [a]
endBy :: ReadP t a -> ReadP t sep -> ReadP t [a]
endBy1 :: ReadP t a -> ReadP t sep -> ReadP t [a]
chainr :: ReadP t a -> ReadP t (a -> a -> a) -> a -> ReadP t a
chainl :: ReadP t a -> ReadP t (a -> a -> a) -> a -> ReadP t a
chainl1 :: ReadP t a -> ReadP t (a -> a -> a) -> ReadP t a
chainr1 :: ReadP t a -> ReadP t (a -> a -> a) -> ReadP t a
manyTill :: ReadP t a -> ReadP t end -> ReadP t [a]
The ReadP type
data ReadP t a Source
Primitive operations
get :: ReadP t tSource
Consumes and returns the next character. Fails if there is no input left.
look :: ReadP t [t]Source
Look-ahead: returns the part of the input that is left, without consuming it.
(+++) :: ReadP t a -> ReadP t a -> ReadP t aSource
Symmetric choice.
(<++) :: ReadP t a -> ReadP t a -> ReadP t aSource
Local, exclusive, left-biased choice: If left parser locally produces any result at all, then right parser is not used.
gather :: ReadP t a -> ReadP t ([t], a)Source
Transforms a parser into one that does the same, but in addition returns the exact characters read. IMPORTANT NOTE: gather gives a runtime error if its first argument is built using any occurrences of readS_to_P.
Parse
parse :: ReadP t a -> [t] -> [a]Source
Run a parser on a list of tokens. Returns the list of complete matches.
Other operations
pfail :: ReadP t aSource
Always fails.
satisfy :: (t -> Bool) -> ReadP t tSource
Consumes and returns the next character, if it satisfies the specified predicate.
char :: Eq t => t -> ReadP t tSource
Parses and returns the specified character.
string :: Eq t => [t] -> ReadP t [t]Source
Parses and returns the specified string.
munch :: (t -> Bool) -> ReadP t [t]Source
Parses the first zero or more characters satisfying the predicate.
munch1 :: (t -> Bool) -> ReadP t [t]Source
Parses the first one or more characters satisfying the predicate.
skipSpaces :: ReadP Char ()Source
Skips all whitespace.
choice :: [ReadP t a] -> ReadP t aSource
Combines all parsers in the specified list.
count :: Int -> ReadP t a -> ReadP t [a]Source
count n p parses n occurrences of p in sequence. A list of results is returned.
between :: ReadP t open -> ReadP t close -> ReadP t a -> ReadP t aSource
between open close p parses open, followed by p and finally close. Only the value of p is returned.
option :: a -> ReadP t a -> ReadP t aSource
option x p will either parse p or return x without consuming any input.
optional :: ReadP t a -> ReadP t ()Source
optional p optionally parses p and always returns ().
many :: ReadP t a -> ReadP t [a]Source
Parses zero or more occurrences of the given parser.
many1 :: ReadP t a -> ReadP t [a]Source
Parses one or more occurrences of the given parser.
skipMany :: ReadP t a -> ReadP t ()Source
Like many, but discards the result.
skipMany1 :: ReadP t a -> ReadP t ()Source
Like many1, but discards the result.
sepBy :: ReadP t a -> ReadP t sep -> ReadP t [a]Source
sepBy p sep parses zero or more occurrences of p, separated by sep. Returns a list of values returned by p.
sepBy1 :: ReadP t a -> ReadP t sep -> ReadP t [a]Source
sepBy1 p sep parses one or more occurrences of p, separated by sep. Returns a list of values returned by p.
endBy :: ReadP t a -> ReadP t sep -> ReadP t [a]Source
endBy p sep parses zero or more occurrences of p, separated and ended by sep.
endBy1 :: ReadP t a -> ReadP t sep -> ReadP t [a]Source
endBy p sep parses one or more occurrences of p, separated and ended by sep.
chainr :: ReadP t a -> ReadP t (a -> a -> a) -> a -> ReadP t aSource
chainr p op x parses zero or more occurrences of p, separated by op. Returns a value produced by a right associative application of all functions returned by op. If there are no occurrences of p, x is returned.
chainl :: ReadP t a -> ReadP t (a -> a -> a) -> a -> ReadP t aSource
chainl p op x parses zero or more occurrences of p, separated by op. Returns a value produced by a left associative application of all functions returned by op. If there are no occurrences of p, x is returned.
chainl1 :: ReadP t a -> ReadP t (a -> a -> a) -> ReadP t aSource
Like chainl, but parses one or more occurrences of p.
chainr1 :: ReadP t a -> ReadP t (a -> a -> a) -> ReadP t aSource
Like chainr, but parses one or more occurrences of p.
manyTill :: ReadP t a -> ReadP t end -> ReadP t [a]Source
manyTill p end parses zero or more occurrences of p, until end succeeds. Returns a list of values returned by p.
Properties

The following are QuickCheck specifications of what the combinators do. These can be seen as formal specifications of the behavior of the combinators.

We use bags to give semantics to the combinators.

  type Bag a = [a]

Equality on bags does not care about the order of elements.

  (=~) :: Ord a => Bag a -> Bag a -> Bool
  xs =~ ys = sort xs == sort ys

A special equality operator to avoid unresolved overloading when testing the properties.

  (=~.) :: Bag (Int,String) -> Bag (Int,String) -> Bool
  (=~.) = (=~)

Here follow the properties:

  prop_Get_Nil =
    readP_to_S get [] =~ []

  prop_Get_Cons c s =
    readP_to_S get (c:s) =~ [(c,s)]

  prop_Look s =
    readP_to_S look s =~ [(s,s)]

  prop_Fail s =
    readP_to_S pfail s =~. []

  prop_Return x s =
    readP_to_S (return x) s =~. [(x,s)]

  prop_Bind p k s =
    readP_to_S (p >>= k) s =~.
      [ ys''
      | (x,s') <- readP_to_S p s
      , ys''   <- readP_to_S (k (x::Int)) s'
      ]

  prop_Plus p q s =
    readP_to_S (p +++ q) s =~.
      (readP_to_S p s ++ readP_to_S q s)

  prop_LeftPlus p q s =
    readP_to_S (p <++ q) s =~.
      (readP_to_S p s +<+ readP_to_S q s)
   where
    [] +<+ ys = ys
    xs +<+ _  = xs

  prop_Gather s =
    forAll readPWithoutReadS $ \p ->
      readP_to_S (gather p) s =~
	 [ ((pre,x::Int),s')
	 | (x,s') <- readP_to_S p s
	 , let pre = take (length s - length s') s
	 ]

  prop_String_Yes this s =
    readP_to_S (string this) (this ++ s) =~
      [(this,s)]

  prop_String_Maybe this s =
    readP_to_S (string this) s =~
      [(this, drop (length this) s) | this `isPrefixOf` s]

  prop_Munch p s =
    readP_to_S (munch p) s =~
      [(takeWhile p s, dropWhile p s)]

  prop_Munch1 p s =
    readP_to_S (munch1 p) s =~
      [(res,s') | let (res,s') = (takeWhile p s, dropWhile p s), not (null res)]

  prop_Choice ps s =
    readP_to_S (choice ps) s =~.
      readP_to_S (foldr (+++) pfail ps) s

  prop_ReadS r s =
    readP_to_S (readS_to_P r) s =~. r s
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