131 lines
3.2 KiB
Idris
131 lines
3.2 KiB
Idris
module Quox.Parser
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import Quox.Syntax
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import Quox.Token
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import Quox.Lexer
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import Data.Maybe
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import Data.SnocVect
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import Data.SnocList
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import Text.Parser
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%default total
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public export
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Vars : Nat -> Type
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Vars n = SnocVect n String
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public export
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Grammar : Bool -> Type -> Type
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Grammar = Core.Grammar () Token
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%hide Core.Grammar
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public export
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data Error
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= Lex (Lexer.Error)
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| Parse (List1 (ParsingError Token))
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| Leftover (List BToken)
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%hide Lexer.Error
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public export
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parseAll : {c : Bool} -> Grammar c a -> List BToken -> Either Error a
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parseAll grm input =
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case parse grm input of
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Right (x, []) => Right x
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Right (x, rest) => Left $ Leftover rest
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Left errs => Left $ Parse errs
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public export
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lexParseAll : {c : Bool} -> Grammar c a -> String -> Either Error a
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lexParseAll grm = lex' >=> parseAll grm
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where lex' : String -> Either Error (List BToken)
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lex' = bimap Lex id . lex
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punc : Punc -> Grammar True ()
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punc p = terminal (show p) $ \case
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P p' => if p == p' then Just () else Nothing
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_ => Nothing
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between : Punc -> Punc -> Grammar True a -> Grammar True a
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between opener closer inner = punc opener *> inner <* punc closer
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parens, squares, braces : Grammar True a -> Grammar True a
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parens = between LParen RParen
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squares = between LSquare RSquare
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braces = between LBrace RBrace
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export
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number : Grammar True Nat
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number = terminal "number" $ \case
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N Zero => Just 0
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N One => Just 1
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N (Other k) => Just k
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_ => Nothing
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zero, one, omega : Grammar True ()
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zero = terminal "0" $ \case N Zero => Just (); _ => Nothing
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one = terminal "1" $ \case N One => Just (); _ => Nothing
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omega = terminal "ω" $ \case K Omega => Just (); _ => Nothing
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export
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quantity : Grammar True Qty
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quantity = Zero <$ zero <|> One <$ one <|> Any <$ omega
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find1 : Eq a => SnocVect k a -> a -> Maybe (Var k)
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find1 [<] y = Nothing
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find1 (sx :< x) y = if x == y then Just VZ else VS <$> find1 sx y
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find : Vars k -> Name -> Maybe (Var k)
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find vs (MakeName [<] (UN y)) = find1 vs y
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find _ _ = Nothing
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export
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bound : (what : String) -> Vars k -> Grammar True (Var k)
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bound what vs = terminal "bound \{what} variable" $
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\case Name x => find1 vs x; _ => Nothing
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export
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sname : Grammar True String
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sname = terminal "simple name" $ \case Name x => pure x; _ => Nothing
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export
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qname : Grammar True Name
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qname = do
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parts <- sepBy1 (punc Dot) sname
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pure $ MakeName {mods = cast $ init parts, base = UN $ last parts}
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export
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nameWith : (bound : Vars k) -> (avoid : Vars n) ->
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Grammar True (Either (Var k) Name)
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nameWith bound avoid = do
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y <- qname
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when (isJust $ find avoid y) $
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fail "wrong type of bound variable: \{show y}"
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pure $ maybe (Right y) Left $ find bound y
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export
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dimension : Vars d -> Grammar True (Dim d)
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dimension vs =
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K Zero <$ zero
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<|> K One <$ one
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<|> B <$> bound "dimension" vs
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mutual
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export
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term : (dvars : Vars d) -> (tvars : Vars n) -> Grammar True (Term d n)
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term dvars tvars =
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E <$> squares (elim dvars tvars)
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export
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elim : (dvars : Vars d) -> (tvars : Vars n) -> Grammar True (Elim d n)
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elim dvars tvars =
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either B F <$> nameWith {bound = tvars, avoid = dvars}
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