parser
This commit is contained in:
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11 changed files with 788 additions and 159 deletions
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@ -4,8 +4,9 @@ import Quox.CharExtra
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import Quox.Name
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import Data.String.Extra
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import Data.SortedMap
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import Text.Lexer
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import Text.Lexer.Tokenizer
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import public Data.List.Elem
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import public Text.Lexer
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import public Text.Lexer.Tokenizer
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import Derive.Prelude
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%hide TT.Name
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@ -25,7 +26,7 @@ data Token = R String | I Name | N Nat | S String | T String | TYPE Nat
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%runElab derive "Token" [Eq, Ord, Show]
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-- token or whitespace
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private
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public export
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0 TokenW : Type
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TokenW = Maybe Token
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@ -41,70 +42,51 @@ record Error where
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%runElab derive "Error" [Eq, Ord, Show]
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private
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skip : Lexer -> Tokenizer TokenW
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skip t = match t $ const Nothing
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export
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syntaxChars : List Char
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syntaxChars = ['(', ')', '[', ']', '{', '}', '`', '"', '\'', ',', '.']
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private
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match : Lexer -> (String -> Token) -> Tokenizer TokenW
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match t f = Tokenizer.match t (Just . f)
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%hide Tokenizer.match
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export
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isSymStart, isSymCont : Char -> Bool
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export %inline
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syntaxChars : List Char
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syntaxChars = ['(', ')', '[', ']', '{', '}', '"', '\'', ',', '.', ';']
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private
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stra, isSymCont : Char -> Bool
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isSymStart c = not (c `elem` syntaxChars) && isSymChar c
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isSymCont c = c == '\'' || isSymStart c
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export
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idStart, idCont, idEnd, idContEnd, symStart, symCont : Lexer
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private
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idStart, idCont, idEnd, idContEnd : Lexer
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idStart = pred isIdStart
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idCont = pred isIdCont
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idEnd = pred $ \c => c `elem` unpack "?!#"
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idContEnd = idCont <|> idEnd
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private
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symStart, symCont : Lexer
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symStart = pred isSymStart
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symCont = pred isSymCont
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private %inline
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resVal : String -> a -> Maybe Token
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resVal str = const $ Just $ R str
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export
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resWordL, resSymL, syntaxL : String -> Lexer
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resWordL str = exact str <+> reject idContEnd
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resSymL str = exact str <+> reject symCont
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syntaxL str = exact str
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export
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resWord, resSym, syntax : String -> Tokenizer TokenW
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resWord str = match (resWordL str) (resVal str)
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resSym str = match (resSymL str) (resVal str)
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syntax str = match (syntaxL str) (resVal str)
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-- return value contains unicode version
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export
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uresWord, uresSym, usyntax : (unicode, ascii : String) -> Tokenizer TokenW
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uresWord u a = match (resWordL u <|> resWordL a) (resVal u)
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uresSym u a = match (resSymL u <|> resSymL a) (resVal u)
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usyntax u a = match (exact u <|> exact a) (resVal u)
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export
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alphaName, symName, baseNameL : Lexer
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alphaName = idStart <+> many idCont <+> many idEnd
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symName = symStart <+> many symCont
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baseNameL = symName <|> alphaName
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export
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baseName : Tokenizer BaseName
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baseName = match baseNameL UN
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private
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baseNameL : Lexer
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baseNameL = idStart <+> many idCont <+> many idEnd
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<|> symStart <+> many symCont
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private
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toName : String -> Name
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toName = fromList . split (== '.')
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nameL : Lexer
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nameL = baseNameL <+> many (is '.' <+> baseNameL)
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export
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private
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name : Tokenizer TokenW
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name = match (baseNameL <+> many (is '.' <+> baseNameL))
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(Just . I . toName . normalizeNfc)
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name = match nameL $ I . fromList . split (== '.') . normalizeNfc
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-- [todo] escapes other than \" and (accidentally) \\
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||| [todo] escapes other than `\"` and (accidentally) `\\`
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export
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fromStringLit : String -> String
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fromStringLit = pack . go . unpack . drop 1 . dropLast 1 where
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@ -114,18 +96,18 @@ fromStringLit = pack . go . unpack . drop 1 . dropLast 1 where
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go ('\\' :: c :: cs) = c :: go cs
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go (c :: cs) = c :: go cs
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export
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private
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string : Tokenizer TokenW
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string = match stringLit (Just . S . fromStringLit)
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string = match stringLit (S . fromStringLit)
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export
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private
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nat : Tokenizer TokenW
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nat = match (some (range '0' '9')) (Just . N . cast)
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nat = match (some (range '0' '9')) (N . cast)
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export
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private
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tag : Tokenizer TokenW
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tag = match (is '`' <+> baseNameL) (Just . T . drop 1)
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<|> match (is '`' <+> stringLit) (Just . T . fromStringLit . drop 1)
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tag = match (is '\'' <+> nameL) (T . drop 1)
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<|> match (is '\'' <+> stringLit) (T . fromStringLit . drop 1)
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@ -140,38 +122,115 @@ subToNat : String -> Nat
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subToNat = cast . pack . map fromSub . unpack
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export
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private
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universe : Tokenizer TokenW
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universe = universeWith "★" <|> universeWith "Type" where
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universeWith : String -> Tokenizer TokenW
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universeWith pfx =
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let len = length pfx in
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match (exact pfx <+> some (range '0' '9'))
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(Just . TYPE . cast . drop len) <|>
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(TYPE . cast . drop len) <|>
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match (exact pfx <+> some (range '₀' '₉'))
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(Just . TYPE . subToNat . drop len)
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(TYPE . subToNat . drop len)
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export
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private %inline
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choice : (xs : List (Tokenizer a)) -> (0 _ : NonEmpty xs) => Tokenizer a
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choice (t :: ts) = foldl (\a, b => a <|> b) t ts
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namespace Res
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||| description of a reserved symbol
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||| @ W a reserved word (must not be followed by letters, digits, etc)
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||| @ S a reserved symbol (must not be followed by symbolic chars)
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||| @ X a character that doesn't show up in names (brackets, etc)
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public export
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data Res1 = W String | S String | X Char
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%runElab derive "Res1" [Eq, Ord, Show]
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||| description of a token that might have unicode & ascii-only aliases
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public export
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data Res = Only Res1 | Or Res1 Res1
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%runElab derive "Res" [Eq, Ord, Show]
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public export
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S1, W1 : String -> Res
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S1 = Only . S
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W1 = Only . W
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public export
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X1 : Char -> Res
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X1 = Only . X
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public export
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resString1 : Res1 -> String
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resString1 (X x) = singleton x
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resString1 (W w) = w
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resString1 (S s) = s
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||| return the representative string for a token description. if there are
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||| two, then it's the first one, which should be the full-unicode one
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public export
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resString : Res -> String
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resString (Only r) = resString1 r
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resString (r `Or` _) = resString1 r
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private
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resTokenizer1 : Res1 -> String -> Tokenizer TokenW
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resTokenizer1 r str =
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let res : String -> Token := const $ R str in
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case r of W w => match (exact w <+> reject idContEnd) res
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S s => match (exact s <+> reject symCont) res
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X x => match (is x) res
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||| match a reserved token
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export
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resTokenizer : Res -> Tokenizer TokenW
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resTokenizer (Only r) = resTokenizer1 r (resString1 r)
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resTokenizer (r `Or` s) =
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resTokenizer1 r (resString1 r) <|> resTokenizer1 s (resString1 r)
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||| reserved words & symbols.
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||| the tokens recognised by ``a `Or` b`` will be `R a`. e.g. `=>` in the input
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||| (if not part of a longer name) will be returned as `R "⇒"`.
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public export
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reserved : List Res
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reserved =
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[X1 '(', X1 ')', X1 '[', X1 ']', X1 '{', X1 '}', X1 ',', X1 ';',
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S1 "@",
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S1 ":",
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S "⇒" `Or` S "=>",
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S "→" `Or` S "->",
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S "×" `Or` S "**",
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S "≡" `Or` S "==",
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S "∷" `Or` S "::",
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S "·" `Or` X '.',
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W1 "case",
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W1 "case1",
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W "caseω" `Or` W "case#",
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W1 "return",
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W1 "of",
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W1 "_",
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W1 "Eq",
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W "λ" `Or` W "fun",
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W "δ" `Or` W "dfun",
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W "ω" `Or` S "#",
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S "★" `Or` W "Type"]
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||| `IsReserved str` is true if `R str` might actually show up in
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||| the token stream
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public export
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IsReserved : String -> Type
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IsReserved str = str `Elem` map resString reserved
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export
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tokens : Tokenizer TokenW
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tokens = choice $
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map skip [pred isWhitespace,
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lineComment (exact "--" <+> reject symCont),
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blockComment (exact "{-") (exact "-}")] <+>
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map syntax ["(", ")", "[", "]", ",", "{", "}", "."] <+>
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[match (exact "`{" <+> reject (is '-')) (resVal "`{")] <+>
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map resSym ["@", ":"] <+>
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map (uncurry uresSym)
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[("·", "%"), ("→","->"), ("×", "**"), ("≡", "=="), ("∷", "::")] <+>
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map resWord ["case", "case1", "caseω", "return", "of", "_"] <+>
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map (uncurry uresWord) [("λ","fun"), ("δ","dfun"), ("caseω", "case#")] <+>
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[resWord "ω", match (resSymL "#") (resVal "ω"),
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universe, resSym "★", match (resWordL "Type") (resVal "★")] <+>
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[universe] <+> -- ★ᵢ takes precedence over bare ★
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map resTokenizer reserved <+>
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[nat, string, tag, name]
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export
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326
lib/Quox/Parser.idr
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326
lib/Quox/Parser.idr
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@ -0,0 +1,326 @@
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module Quox.Parser
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import public Quox.Syntax.Qty.Three
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import public Quox.Syntax
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import public Quox.Lexer
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import Data.Fin
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import Data.Vect
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import public Text.Parser
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import Derive.Prelude
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%hide TT.Name
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%default total
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%language ElabReflection
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public export
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0 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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0 BName : Type
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BName = Maybe BaseName
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public export
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0 PUniverse : Type
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PUniverse = Nat
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public export
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0 PQty : Type
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PQty = Three
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namespace PDim
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public export
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data PDim = K DimConst | V BaseName
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%runElab derive "PDim" [Eq, Ord, Show]
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namespace PTerm
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mutual
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||| terms out of the parser with BVs and bidirectionality still tangled up
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public export
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data PTerm =
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TYPE Nat
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| Pi PQty BName PTerm PTerm
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| Lam BName PTerm
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| (:@) PTerm PTerm
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| Sig BName PTerm PTerm
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| Pair PTerm PTerm
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| Case PQty PTerm (BName, PTerm) (PCaseBody)
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| Enum (List TagVal)
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| Tag TagVal
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| Eq (BName, PTerm) PTerm PTerm
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| DLam BName PTerm
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| (:%) PTerm PDim
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| V Name
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| (:#) PTerm PTerm
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public export
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data PCaseBody =
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CasePair (BName, BName) PTerm
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| CaseEnum (List (TagVal, PTerm))
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%runElab deriveMutual ["PTerm", "PCaseBody"] [Eq, Ord, Show]
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private
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data PArg = T PTerm | D PDim
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%runElab derive "PArg" [Eq, Ord, Show]
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private
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apply : PTerm -> List PArg -> PTerm
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apply = foldl $ \f, x => case x of T x => f :@ x; D p => f :% p
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private
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annotate : PTerm -> Maybe PTerm -> PTerm
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annotate s a = maybe s (s :#) a
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export
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res : (str : String) -> (0 _ : IsReserved str) => Grammar True ()
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res str = terminal "expecting \"\{str}\"" $
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\x => guard $ x == R str
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export
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resC : (str : String) -> (0 _ : IsReserved str) => Grammar True ()
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resC str = do res str; commit
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parameters {default True commit : Bool}
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private
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maybeCommit : Grammar False ()
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maybeCommit = when commit Core.commit
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export
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betweenR : {c : Bool} -> (op, cl : String) ->
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(0 _ : IsReserved op) => (0 _ : IsReserved cl) =>
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Grammar c a -> Grammar True a
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betweenR o c p = res o *> maybeCommit *> p <* res c <* maybeCommit
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export
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parens, bracks, braces : {c : Bool} -> Grammar c a -> Grammar True a
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parens = betweenR "(" ")"
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bracks = betweenR "[" "]"
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braces = betweenR "{" "}"
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export
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commaSep : {c : Bool} -> Grammar c a -> Grammar False (List a)
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commaSep = sepEndBy (res ",")
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-- don't commit because of the possible terminating ","
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export
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semiSep : {c : Bool} -> Grammar c a -> Grammar False (List a)
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semiSep = sepEndBy (res ";")
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export
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commaSep1 : {c : Bool} -> Grammar c a -> Grammar c (List1 a)
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commaSep1 = sepEndBy1 (res ",")
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export
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darr : Grammar True ()
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darr = resC "⇒"
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export
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name : Grammar True Name
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name = terminal "expecting name" $
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\case I i => Just i; _ => Nothing
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export
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baseName : Grammar True BaseName
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baseName = terminal "expecting unqualified name" $
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\case I i => guard (null i.mods) $> i.base
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_ => Nothing
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export
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nat : Grammar True Nat
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nat = terminal "expecting natural number" $
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\case N n => pure n; _ => Nothing
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export
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string : Grammar True String
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string = terminal "expecting string literal" $
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\case S s => pure s; _ => Nothing
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export
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tag : Grammar True String
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tag = terminal "expecting tag constructor" $
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\case T t => pure t; _ => Nothing
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export
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bareTag : Grammar True String
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bareTag = string <|> [|toDots name|]
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export
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universe : Grammar True PUniverse
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universe = terminal "expecting type universe" $
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\case TYPE u => Just u; _ => Nothing
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export
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bname : Grammar True BName
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bname = Nothing <$ res "_"
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<|> [|Just baseName|]
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export
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zeroOne : (zero, one : a) -> Grammar True a
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zeroOne zero one = terminal "expecting zero or one" $
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\case N 0 => Just zero; N 1 => Just one; _ => Nothing
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export covering
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qty : Grammar True PQty
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qty = zeroOne Zero One
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<|> Any <$ res "ω"
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<|> parens qty
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private covering
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qtys : Grammar False (List PQty)
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qtys = option [] [|toList $ some qty <* res "·"|]
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export
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dimConst : Grammar True DimConst
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dimConst = zeroOne Zero One
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export covering
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dim : Grammar True PDim
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dim = [|V baseName|]
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<|> [|K dimConst|]
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<|> parens dim
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private
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0 PBinderHead : Nat -> Type
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PBinderHead n = (Vect n PQty, BName, PTerm)
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private
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toVect : List a -> (n ** Vect n a)
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toVect [] = (_ ** [])
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toVect (x :: xs) = (_ ** x :: snd (toVect xs))
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private
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0 MakeBinder : Nat -> Type
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MakeBinder n = (String, PBinderHead n -> PTerm -> PTerm)
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private
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makePi : MakeBinder 1
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makePi = ("→", \([pi], x, s) => Pi pi x s)
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private
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makeSig : MakeBinder 0
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makeSig = ("×", \([], x, s) => Sig x s)
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private
|
||||
plural : Nat -> a -> a -> a
|
||||
plural 1 s p = s
|
||||
plural _ s p = p
|
||||
|
||||
private
|
||||
makeBinder : {m, n : Nat} -> MakeBinder m -> PBinderHead n -> PTerm ->
|
||||
Grammar False PTerm
|
||||
makeBinder (str, f) h t =
|
||||
case decEq m n of
|
||||
Yes Refl => pure $ f h t
|
||||
No _ => fatalError
|
||||
"'\{str}' expects \{show m} quantit\{plural m "y" "ies"}, got \{show n}"
|
||||
|
||||
private
|
||||
binderInfix : Grammar True (n ** MakeBinder n)
|
||||
binderInfix = res "→" $> (1 ** makePi)
|
||||
<|> res "×" $> (0 ** makeSig)
|
||||
|
||||
private
|
||||
lamIntro : Grammar True (BName -> PTerm -> PTerm)
|
||||
lamIntro = Lam <$ resC "λ"
|
||||
<|> DLam <$ resC "δ"
|
||||
|
||||
private covering
|
||||
caseIntro : Grammar True PQty
|
||||
caseIntro = resC "case1" $> One
|
||||
<|> resC "caseω" $> Any
|
||||
<|> resC "case" *> qty <* resC "·"
|
||||
|
||||
private
|
||||
optNameBinder : Grammar False BName
|
||||
optNameBinder = [|join $ optional $ bname <* darr|]
|
||||
|
||||
mutual
|
||||
export covering
|
||||
term : Grammar True PTerm
|
||||
term = lamTerm
|
||||
<|> caseTerm
|
||||
<|> bindTerm
|
||||
<|> [|annotate infixEqTerm (optional $ resC "∷" *> term)|]
|
||||
|
||||
private covering
|
||||
lamTerm : Grammar True PTerm
|
||||
lamTerm = flip . foldr <$> lamIntro <*> some bname <* darr <*> term
|
||||
|
||||
private covering
|
||||
caseTerm : Grammar True PTerm
|
||||
caseTerm =
|
||||
[|Case caseIntro term
|
||||
(resC "return" *> optBinderTerm)
|
||||
(resC "of" *> braces caseBody)|]
|
||||
|
||||
private covering
|
||||
caseBody : Grammar False PCaseBody
|
||||
caseBody = [|CasePair (pairPat <* darr) (term <* optSemi)|]
|
||||
<|> [|CaseEnum $ semiSep [|MkPair tag (darr *> term)|]|]
|
||||
where
|
||||
optSemi = ignore $ optional $ res ";"
|
||||
pairPat = parens [|MkPair bname (resC "," *> bname)|]
|
||||
|
||||
private covering
|
||||
bindTerm : Grammar True PTerm
|
||||
bindTerm = do
|
||||
bnd <- binderHead
|
||||
inf <- binderInfix
|
||||
body <- term
|
||||
makeBinder (snd inf) (snd bnd) body
|
||||
|
||||
private covering
|
||||
infixEqTerm : Grammar True PTerm
|
||||
infixEqTerm = do
|
||||
l <- appTerm
|
||||
rty <- optional [|MkPair (resC "≡" *> term) (resC ":" *> appTerm)|]
|
||||
pure $ maybe l (\rty => Eq (Nothing, snd rty) l (fst rty)) rty
|
||||
|
||||
private covering
|
||||
appTerm : Grammar True PTerm
|
||||
appTerm = resC "★" *> [|TYPE nat|]
|
||||
<|> resC "Eq" *> [|Eq (bracks optBinderTerm) aTerm aTerm|]
|
||||
<|> [|apply aTerm (many appArg)|]
|
||||
|
||||
private covering
|
||||
appArg : Grammar True PArg
|
||||
appArg = [|D $ resC "@" *> dim|]
|
||||
<|> [|T aTerm|]
|
||||
|
||||
private covering
|
||||
aTerm : Grammar True PTerm
|
||||
aTerm = [|Enum $ braces $ commaSep bareTag|]
|
||||
<|> [|TYPE universe|]
|
||||
<|> [|V name|]
|
||||
<|> [|Tag tag|]
|
||||
<|> foldr1 Pair <$> parens (commaSep1 term)
|
||||
|
||||
private covering
|
||||
binderHead : Grammar True (n ** PBinderHead n)
|
||||
binderHead = parens {commit = False} $ do
|
||||
qs <- [|toVect qtys|]
|
||||
name <- bname
|
||||
resC ":"
|
||||
ty <- term
|
||||
pure (_ ** (qs.snd, name, ty))
|
||||
|
||||
private covering
|
||||
optBinderTerm : Grammar True (BName, PTerm)
|
||||
optBinderTerm = [|MkPair optNameBinder term|]
|
||||
|
|
@ -96,7 +96,7 @@ mutual
|
|||
||| pair destruction
|
||||
|||
|
||||
||| `CasePair 𝜋 𝑒 ([𝑟], 𝐴) ([𝑥, 𝑦], 𝑡)` is
|
||||
||| `𝐜𝐚𝐬𝐞 𝜋 · 𝑒 𝐫𝐞𝐭𝐮𝐫𝐧 𝑟 ⇒ 𝐴 𝐨𝐟 { (𝑥, 𝑦). 𝑡 }`
|
||||
||| `𝐜𝐚𝐬𝐞 𝜋 · 𝑒 𝐫𝐞𝐭𝐮𝐫𝐧 𝑟 ⇒ 𝐴 𝐨𝐟 { (𝑥, 𝑦) ⇒ 𝑡 }`
|
||||
CasePair : (qty : q) -> (pair : Elim q d n) ->
|
||||
(ret : ScopeTerm q d n) ->
|
||||
(body : ScopeTermN 2 q d n) ->
|
||||
|
|
|
|||
|
|
@ -11,10 +11,11 @@ import Data.Vect
|
|||
|
||||
|
||||
private %inline
|
||||
typeD, arrowD, timesD, lamD, eqndD, dlamD, annD :
|
||||
typeD, arrowD, darrowD, timesD, lamD, eqndD, dlamD, annD :
|
||||
Pretty.HasEnv m => m (Doc HL)
|
||||
typeD = hlF Syntax $ ifUnicode "★" "Type"
|
||||
arrowD = hlF Syntax $ ifUnicode "→" "->"
|
||||
darrowD = hlF Syntax $ ifUnicode "⇒" "=>"
|
||||
timesD = hlF Syntax $ ifUnicode "×" "**"
|
||||
lamD = hlF Syntax $ ifUnicode "λ" "fun"
|
||||
eqndD = hlF Syntax $ ifUnicode "≡" "=="
|
||||
|
|
@ -22,11 +23,10 @@ dlamD = hlF Syntax $ ifUnicode "δ" "dfun"
|
|||
annD = hlF Syntax $ ifUnicode "∷" "::"
|
||||
|
||||
private %inline
|
||||
eqD, colonD, commaD, dotD, caseD, returnD, ofD : Doc HL
|
||||
eqD, colonD, commaD, caseD, returnD, ofD : Doc HL
|
||||
eqD = hl Syntax "Eq"
|
||||
colonD = hl Syntax ":"
|
||||
commaD = hl Syntax ","
|
||||
dotD = hl Delim "."
|
||||
caseD = hl Syntax "case"
|
||||
ofD = hl Syntax "of"
|
||||
returnD = hl Syntax "return"
|
||||
|
|
@ -48,7 +48,7 @@ prettyArm : PrettyHL a => Pretty.HasEnv m =>
|
|||
BinderSort -> List BaseName -> Doc HL -> a -> m (Doc HL)
|
||||
prettyArm sort xs pat body = do
|
||||
body <- withPrec Outer $ unders sort xs $ prettyM body
|
||||
pure $ hang 2 $ sep [pat <+> dotD, body]
|
||||
pure $ hang 2 $ sep [pat <++> !darrowD, body]
|
||||
|
||||
export
|
||||
prettyLams : PrettyHL a => Pretty.HasEnv m =>
|
||||
|
|
@ -96,7 +96,7 @@ prettyCase pi elim r ret arms = do
|
|||
-- [fixme] put delimiters around tags that aren't simple names
|
||||
export
|
||||
prettyTag : TagVal -> Doc HL
|
||||
prettyTag t = hl Tag $ "`" <+> fromString t
|
||||
prettyTag t = hl Tag $ "'" <+> fromString t
|
||||
|
||||
|
||||
parameters (showSubsts : Bool)
|
||||
|
|
@ -117,7 +117,7 @@ parameters (showSubsts : Bool)
|
|||
let GotPairs {init, last, _} = getPairs' [< s] t in
|
||||
prettyTuple $ toList $ init :< last
|
||||
prettyM (Enum tags) =
|
||||
pure $ delims "`{" "}" . aseparate comma $ map prettyTag $
|
||||
pure $ delims "{" "}" . aseparate comma $ map prettyTag $
|
||||
Prelude.toList tags
|
||||
prettyM (Tag t) =
|
||||
pure $ prettyTag t
|
||||
|
|
|
|||
|
|
@ -35,4 +35,5 @@ modules =
|
|||
Quox.Name,
|
||||
Quox.Typing,
|
||||
Quox.Typechecker,
|
||||
Quox.Lexer
|
||||
Quox.Lexer,
|
||||
Quox.Parser
|
||||
|
|
|
|||
|
|
@ -5,6 +5,7 @@ import Tests.Reduce
|
|||
import Tests.Equal
|
||||
import Tests.Typechecker
|
||||
import Tests.Lexer
|
||||
import Tests.Parser
|
||||
import System
|
||||
|
||||
|
||||
|
|
@ -13,7 +14,8 @@ allTests = [
|
|||
Reduce.tests,
|
||||
Equal.tests,
|
||||
Typechecker.tests,
|
||||
Lexer.tests
|
||||
Lexer.tests,
|
||||
Parser.tests
|
||||
]
|
||||
|
||||
main : IO ()
|
||||
|
|
|
|||
|
|
@ -122,31 +122,31 @@ tests = "equality & subtyping" :- [
|
|||
],
|
||||
|
||||
"lambda" :- [
|
||||
testEq "λ x. [x] = λ x. [x]" $
|
||||
testEq "λ x ⇒ [x] = λ x ⇒ [x]" $
|
||||
equalT empty (Arr One (FT "A") (FT "A"))
|
||||
(["x"] :\\ BVT 0)
|
||||
(["x"] :\\ BVT 0),
|
||||
testEq "λ x. [x] <: λ x. [x]" $
|
||||
testEq "λ x ⇒ [x] <: λ x ⇒ [x]" $
|
||||
subT empty (Arr One (FT "A") (FT "A"))
|
||||
(["x"] :\\ BVT 0)
|
||||
(["x"] :\\ BVT 0),
|
||||
testEq "λ x. [x] = λ y. [y]" $
|
||||
testEq "λ x ⇒ [x] = λ y ⇒ [y]" $
|
||||
equalT empty (Arr One (FT "A") (FT "A"))
|
||||
(["x"] :\\ BVT 0)
|
||||
(["y"] :\\ BVT 0),
|
||||
testEq "λ x. [x] <: λ y. [y]" $
|
||||
testEq "λ x ⇒ [x] <: λ y ⇒ [y]" $
|
||||
equalT empty (Arr One (FT "A") (FT "A"))
|
||||
(["x"] :\\ BVT 0)
|
||||
(["y"] :\\ BVT 0),
|
||||
testNeq "λ x y. [x] ≠ λ x y. [y]" $
|
||||
testNeq "λ x y ⇒ [x] ≠ λ x y ⇒ [y]" $
|
||||
equalT empty (Arr One (FT "A") $ Arr One (FT "A") (FT "A"))
|
||||
(["x", "y"] :\\ BVT 1)
|
||||
(["x", "y"] :\\ BVT 0),
|
||||
testEq "λ x. [a] = λ x. [a] (Y vs N)" $
|
||||
testEq "λ x ⇒ [a] = λ x ⇒ [a] (Y vs N)" $
|
||||
equalT empty (Arr Zero (FT "B") (FT "A"))
|
||||
(Lam $ SY ["x"] $ FT "a")
|
||||
(Lam $ SN $ FT "a"),
|
||||
testEq "λ x. [f [x]] = [f] (η)" $
|
||||
testEq "λ x ⇒ [f [x]] = [f] (η)" $
|
||||
equalT empty (Arr One (FT "A") (FT "A"))
|
||||
(["x"] :\\ E (F "f" :@ BVT 0))
|
||||
(FT "f")
|
||||
|
|
@ -169,7 +169,7 @@ tests = "equality & subtyping" :- [
|
|||
refl a x = (DLam $ S ["_"] $ N x) :# (Eq0 a x x)
|
||||
in
|
||||
[
|
||||
note #""refl [A] x" is an abbreviation for "(δ i. x) ∷ (x ≡ x : A)""#,
|
||||
note #""refl [A] x" is an abbreviation for "(δ i ⇒ x) ∷ (x ≡ x : A)""#,
|
||||
note "binds before ∥ are globals, after it are BVs",
|
||||
testEq "refl [A] a = refl [A] a" $
|
||||
equalE empty (refl (FT "A") (FT "a")) (refl (FT "A") (FT "a")),
|
||||
|
|
@ -237,11 +237,11 @@ tests = "equality & subtyping" :- [
|
|||
equalT empty (FT "A")
|
||||
(CloT (BVT 1) (F "a" ::: F "b" ::: id))
|
||||
(FT "b"),
|
||||
testEq "(λy. [#1]){a} = λy. [a] : B ⇾ A (N)" $
|
||||
testEq "(λy ⇒ [#1]){a} = λy ⇒ [a] : B ⇾ A (N)" $
|
||||
equalT empty (Arr Zero (FT "B") (FT "A"))
|
||||
(CloT (Lam $ S ["y"] $ N $ BVT 0) (F "a" ::: id))
|
||||
(Lam $ S ["y"] $ N $ FT "a"),
|
||||
testEq "(λy. [#1]){a} = λy. [a] : B ⇾ A (Y)" $
|
||||
testEq "(λy ⇒ [#1]){a} = λy ⇒ [a] : B ⇾ A (Y)" $
|
||||
equalT empty (Arr Zero (FT "B") (FT "A"))
|
||||
(CloT (["y"] :\\ BVT 1) (F "a" ::: id))
|
||||
(["y"] :\\ FT "a")
|
||||
|
|
@ -250,7 +250,7 @@ tests = "equality & subtyping" :- [
|
|||
"term d-closure" :- [
|
||||
testEq "★₀‹𝟎› = ★₀ : ★₁" $
|
||||
equalTD 1 empty (TYPE 1) (DCloT (TYPE 0) (K Zero ::: id)) (TYPE 0),
|
||||
testEq "(δ i. a)‹𝟎› = (δ i. a) : (a ≡ a : A)" $
|
||||
testEq "(δ i ⇒ a)‹𝟎› = (δ i ⇒ a) : (a ≡ a : A)" $
|
||||
equalTD 1 empty
|
||||
(Eq0 (FT "A") (FT "a") (FT "a"))
|
||||
(DCloT (["i"] :\\% FT "a") (K Zero ::: id))
|
||||
|
|
@ -315,24 +315,24 @@ tests = "equality & subtyping" :- [
|
|||
equalE empty (F "f" :@ FT "a") (F "f" :@ FT "a"),
|
||||
testEq "f [a] <: f [a]" $
|
||||
subE empty (F "f" :@ FT "a") (F "f" :@ FT "a"),
|
||||
testEq "(λ x. [x] ∷ A ⊸ A) a = ([a ∷ A] ∷ A) (β)" $
|
||||
testEq "(λ x ⇒ [x] ∷ A ⊸ A) a = ([a ∷ A] ∷ A) (β)" $
|
||||
equalE empty
|
||||
(((["x"] :\\ BVT 0) :# Arr One (FT "A") (FT "A")) :@ FT "a")
|
||||
(E (FT "a" :# FT "A") :# FT "A"),
|
||||
testEq "(λ x. [x] ∷ A ⊸ A) a = a (βυ)" $
|
||||
testEq "(λ x ⇒ [x] ∷ A ⊸ A) a = a (βυ)" $
|
||||
equalE empty
|
||||
(((["x"] :\\ BVT 0) :# Arr One (FT "A") (FT "A")) :@ FT "a")
|
||||
(F "a"),
|
||||
testEq "(λ g. [g [a]] ∷ ⋯)) [f] = (λ y. [f [y]] ∷ ⋯) [a] (β↘↙)" $
|
||||
testEq "(λ g ⇒ [g [a]] ∷ ⋯)) [f] = (λ y ⇒ [f [y]] ∷ ⋯) [a] (β↘↙)" $
|
||||
let a = FT "A"; a2a = (Arr One a a) in
|
||||
equalE empty
|
||||
(((["g"] :\\ E (BV 0 :@ FT "a")) :# Arr One a2a a) :@ FT "f")
|
||||
(((["y"] :\\ E (F "f" :@ BVT 0)) :# a2a) :@ FT "a"),
|
||||
testEq "(λ x. [x] ∷ A ⊸ A) a <: a" $
|
||||
testEq "(λ x ⇒ [x] ∷ A ⊸ A) a <: a" $
|
||||
subE empty
|
||||
(((["x"] :\\ BVT 0) :# (Arr One (FT "A") (FT "A"))) :@ FT "a")
|
||||
(F "a"),
|
||||
note "id : A ⊸ A ≔ λ x. [x]",
|
||||
note "id : A ⊸ A ≔ λ x ⇒ [x]",
|
||||
testEq "id [a] = a" $ equalE empty (F "id" :@ FT "a") (F "a"),
|
||||
testEq "id [a] <: a" $ subE empty (F "id" :@ FT "a") (F "a")
|
||||
],
|
||||
|
|
@ -340,13 +340,13 @@ tests = "equality & subtyping" :- [
|
|||
todo "dim application",
|
||||
|
||||
"annotation" :- [
|
||||
testEq "(λ x. f [x]) ∷ A ⊸ A = [f] ∷ A ⊸ A" $
|
||||
testEq "(λ x ⇒ f [x]) ∷ A ⊸ A = [f] ∷ A ⊸ A" $
|
||||
equalE empty
|
||||
((["x"] :\\ E (F "f" :@ BVT 0)) :# Arr One (FT "A") (FT "A"))
|
||||
(FT "f" :# Arr One (FT "A") (FT "A")),
|
||||
testEq "[f] ∷ A ⊸ A = f" $
|
||||
equalE empty (FT "f" :# Arr One (FT "A") (FT "A")) (F "f"),
|
||||
testEq "(λ x. f [x]) ∷ A ⊸ A = f" $
|
||||
testEq "(λ x ⇒ f [x]) ∷ A ⊸ A = f" $
|
||||
equalE empty
|
||||
((["x"] :\\ E (F "f" :@ BVT 0)) :# Arr One (FT "A") (FT "A"))
|
||||
(F "f")
|
||||
|
|
|
|||
|
|
@ -2,7 +2,6 @@ module Tests.Lexer
|
|||
|
||||
import Quox.Name
|
||||
import Quox.Lexer
|
||||
import Text.Lexer.Tokenizer
|
||||
import TAP
|
||||
|
||||
|
||||
|
|
@ -31,19 +30,14 @@ denewline = pack . map (\case '\n' => ''; c => c) . unpack
|
|||
|
||||
private
|
||||
lexes : String -> List Token -> Test
|
||||
lexes str toks = test "｢\{denewline str}｣" {e = Failure} $
|
||||
case lex str of
|
||||
Left err => throwError $ LexError err
|
||||
Right res =>
|
||||
let res = map val res in
|
||||
lexes str toks = test "｢\{denewline str}｣" $ do
|
||||
res <- bimap LexError (map val) $ lex str
|
||||
unless (toks == res) $ throwError $ WrongLex toks res
|
||||
|
||||
private
|
||||
lexFail : String -> Test
|
||||
lexFail str = test "｢\{denewline str}｣ # fails" {e = Failure} $
|
||||
case lex str of
|
||||
Left err => pure ()
|
||||
Right res => throwError $ ExpectedFail $ map val res
|
||||
lexFail str = test "｢\{denewline str}｣ # fails" $
|
||||
either (const $ Right ()) (Left . ExpectedFail . map val) $ lex str
|
||||
|
||||
export
|
||||
tests : Test
|
||||
|
|
@ -68,8 +62,13 @@ tests = "lexer" :- [
|
|||
lexes "dfun" [R "δ"],
|
||||
lexes "funky" [I "funky"],
|
||||
lexes "δελτα" [I "δελτα"],
|
||||
lexes "★★" [I "★★"],
|
||||
lexes "Types" [I "Types"],
|
||||
lexes "a.b.c.d.e" [I $ MakeName [< "a","b","c","d"] "e"],
|
||||
lexes "normalïse" [I "normalïse"],
|
||||
lexes "map#" [I "map#"],
|
||||
lexes "write!" [I "write!"],
|
||||
lexes "uhh??!?!?!?" [I "uhh??!?!?!?"],
|
||||
-- ↑ replace i + combining ¨ with precomposed ï
|
||||
|
||||
todo "check for reserved words in a qname",
|
||||
|
|
@ -80,16 +79,17 @@ tests = "lexer" :- [
|
|||
lexes "**" [R "×"],
|
||||
lexes "***" [I "***"],
|
||||
lexes "+**" [I "+**"],
|
||||
lexes "+#" [I "+#"],
|
||||
lexes "+.+.+" [I $ MakeName [< "+", "+"] "+"],
|
||||
lexes "a.+" [I $ MakeName [< "a"] "+"],
|
||||
lexes "+.a" [I $ MakeName [< "+"] "a"],
|
||||
|
||||
lexes "+a" [I "+", I "a"],
|
||||
|
||||
lexes "x." [I "x", R "."],
|
||||
lexes "&." [I "&", R "."],
|
||||
lexes ".x" [R ".", I "x"],
|
||||
lexes "a.b.c." [I $ MakeName [< "a", "b"] "c", R "."],
|
||||
lexes "x." [I "x", R "·"],
|
||||
lexes "&." [I "&", R "·"],
|
||||
lexes ".x" [R "·", I "x"],
|
||||
lexes "a.b.c." [I $ MakeName [< "a", "b"] "c", R "·"],
|
||||
|
||||
lexes "case" [R "case"],
|
||||
lexes "caseω" [R "caseω"],
|
||||
|
|
@ -103,29 +103,27 @@ tests = "lexer" :- [
|
|||
lexes "a_" [I "a_"],
|
||||
|
||||
lexes "a'" [I "a'"],
|
||||
lexes "+'" [I "+'"],
|
||||
lexFail "'+"
|
||||
lexes "+'" [I "+'"]
|
||||
],
|
||||
|
||||
"syntax characters" :- [
|
||||
lexes "()" [R "(", R ")"],
|
||||
lexes "(a)" [R "(", I "a", R ")"],
|
||||
lexes "(^)" [R "(", I "^", R ")"],
|
||||
lexes "`{a,b}" [R "`{", I "a", R ",", I "b", R "}"],
|
||||
lexes "`{+,-}" [R "`{", I "+", R ",", I "-", R "}"],
|
||||
lexFail "` {}",
|
||||
-- [todo] should this be lexed as "`{", "-", "mid", etc?
|
||||
lexFail "`{-mid token comment-}{}"
|
||||
lexes "{a,b}" [R "{", I "a", R ",", I "b", R "}"],
|
||||
lexes "{+,-}" [R "{", I "+", R ",", I "-", R "}"]
|
||||
],
|
||||
|
||||
"tags" :- [
|
||||
lexes "`a" [T "a"],
|
||||
lexes "`abc" [T "abc"],
|
||||
lexes "`+" [T "+"],
|
||||
lexes "`$$$" [T "$$$"],
|
||||
lexes #"`"multi word tag""# [T "multi word tag"],
|
||||
lexFail "`",
|
||||
lexFail "``"
|
||||
lexes #" 'a "# [T "a"],
|
||||
lexes #" 'abc "# [T "abc"],
|
||||
lexes #" '+ "# [T "+"],
|
||||
lexes #" '$$$ "# [T "$$$"],
|
||||
lexes #" 'tag.with.dots "# [T "tag.with.dots"],
|
||||
lexes #" '"multi word tag" "# [T "multi word tag"],
|
||||
lexes #" '"" "# [T ""],
|
||||
lexFail #" ' "#,
|
||||
lexFail #" '' "#
|
||||
],
|
||||
|
||||
"strings" :- [
|
||||
|
|
|
|||
241
tests/Tests/Parser.idr
Normal file
241
tests/Tests/Parser.idr
Normal file
|
|
@ -0,0 +1,241 @@
|
|||
module Tests.Parser
|
||||
|
||||
import Quox.Parser
|
||||
import Data.List
|
||||
import Data.String
|
||||
import TAP
|
||||
|
||||
public export
|
||||
data Failure =
|
||||
LexError Lexer.Error
|
||||
| ParseError (List1 (ParsingError Token))
|
||||
| WrongResult String
|
||||
| ExpectedFail String
|
||||
|
||||
export
|
||||
ToInfo Failure where
|
||||
toInfo (LexError err) =
|
||||
[("type", "LexError"), ("info", show err)]
|
||||
toInfo (ParseError errs) =
|
||||
("type", "ParseError") ::
|
||||
map (bimap show show) ([1 .. length errs] `zip` toList errs)
|
||||
toInfo (WrongResult got) =
|
||||
[("type", "WrongResult"), ("got", got)]
|
||||
toInfo (ExpectedFail got) =
|
||||
[("type", "ExpectedFail"), ("got", got)]
|
||||
|
||||
|
||||
parameters {c : Bool} {auto _ : Show a} (grm : Grammar c a)
|
||||
(inp : String)
|
||||
parameters {default (ltrim inp) label : String}
|
||||
parsesWith : (a -> Bool) -> Test
|
||||
parsesWith p = test label $ do
|
||||
toks <- mapFst LexError $ lex inp
|
||||
(res, _) <- mapFst ParseError $ parse (grm <* eof) toks
|
||||
unless (p res) $ Left $ WrongResult $ show res
|
||||
|
||||
parses : Test
|
||||
parses = parsesWith $ const True
|
||||
|
||||
parsesAs : Eq a => a -> Test
|
||||
parsesAs exp = parsesWith (== exp)
|
||||
|
||||
parameters {default "\{ltrim inp} # fails" label : String}
|
||||
parseFails : Test
|
||||
parseFails = test label $ do
|
||||
toks <- mapFst LexError $ lex inp
|
||||
either (const $ Right ()) (Left . ExpectedFail . show . fst) $
|
||||
parse (grm <* eof) toks
|
||||
|
||||
|
||||
export
|
||||
tests : Test
|
||||
tests = "parser" :- [
|
||||
"bound names" :- [
|
||||
parsesAs bname "_" Nothing,
|
||||
parsesAs bname "F" (Just "F"),
|
||||
parseFails bname "a.b.c"
|
||||
],
|
||||
|
||||
"names" :- [
|
||||
parsesAs name "x"
|
||||
(MakeName [<] $ UN "x"),
|
||||
parsesAs name "Data.String.length"
|
||||
(MakeName [< "Data", "String"] $ UN "length"),
|
||||
parseFails name "_"
|
||||
],
|
||||
|
||||
"dimensions" :- [
|
||||
parsesAs dim "0" (K Zero),
|
||||
parsesAs dim "1" (K One),
|
||||
parsesAs dim "ι" (V "ι"),
|
||||
parsesAs dim "(0)" (K Zero),
|
||||
parseFails dim "M.x",
|
||||
parseFails dim "_"
|
||||
],
|
||||
|
||||
"quantities" :- [
|
||||
parsesAs qty "0" Zero,
|
||||
parsesAs qty "1" One,
|
||||
parsesAs qty "ω" Any,
|
||||
parsesAs qty "#" Any,
|
||||
parsesAs qty "(#)" Any,
|
||||
parseFails qty "anythingElse",
|
||||
parseFails qty "_"
|
||||
],
|
||||
|
||||
"enum types" :- [
|
||||
parsesAs term #"{}"# (Enum []),
|
||||
parsesAs term #"{a}"# (Enum ["a"]),
|
||||
parsesAs term #"{a,}"# (Enum ["a"]),
|
||||
parsesAs term #"{a.b.c.d}"# (Enum ["a.b.c.d"]),
|
||||
parsesAs term #"{"hel lo"}"# (Enum ["hel lo"]),
|
||||
parsesAs term #"{a, b}"# (Enum ["a", "b"]),
|
||||
parsesAs term #"{a, b,}"# (Enum ["a", "b"]),
|
||||
parsesAs term #"{a, b, ","}"# (Enum ["a", "b", ","]),
|
||||
parseFails term #"{,}"#
|
||||
],
|
||||
|
||||
"tags" :- [
|
||||
parsesAs term #" 'a "# (Tag "a"),
|
||||
parsesAs term #" 'abc "# (Tag "abc"),
|
||||
parsesAs term #" '"abc" "# (Tag "abc"),
|
||||
parsesAs term #" '"a b c" "# (Tag "a b c"),
|
||||
parsesAs term #" 'a b c "# (Tag "a" :@ V "b" :@ V "c")
|
||||
{label = "'a b c # application to two args"}
|
||||
],
|
||||
|
||||
"universes" :- [
|
||||
parsesAs term "★₀" (TYPE 0),
|
||||
parsesAs term "★1" (TYPE 1),
|
||||
parsesAs term "★ 2" (TYPE 2),
|
||||
parsesAs term "Type₃" (TYPE 3),
|
||||
parsesAs term "Type4" (TYPE 4),
|
||||
parsesAs term "Type 100" (TYPE 100),
|
||||
parsesAs term "(Type 1000)" (TYPE 1000),
|
||||
parseFails term "Type",
|
||||
parseFails term "★"
|
||||
],
|
||||
|
||||
"applications" :- [
|
||||
parsesAs term "f" (V "f"),
|
||||
parsesAs term "f.x.y" (V $ MakeName [< "f", "x"] $ UN "y"),
|
||||
parsesAs term "f x" (V "f" :@ V "x"),
|
||||
parsesAs term "f x y" (V "f" :@ V "x" :@ V "y"),
|
||||
parsesAs term "(f x) y" (V "f" :@ V "x" :@ V "y"),
|
||||
parsesAs term "f (g x)" (V "f" :@ (V "g" :@ V "x")),
|
||||
parsesAs term "f (g x) y" (V "f" :@ (V "g" :@ V "x") :@ V "y"),
|
||||
parsesAs term "f @p" (V "f" :% V "p"),
|
||||
parsesAs term "f x @p y" (V "f" :@ V "x" :% V "p" :@ V "y")
|
||||
],
|
||||
|
||||
"annotations" :- [
|
||||
parsesAs term "f :: A" (V "f" :# V "A"),
|
||||
parsesAs term "f ∷ A" (V "f" :# V "A"),
|
||||
parsesAs term "f x y ∷ A B C"
|
||||
((V "f" :@ V "x" :@ V "y") :#
|
||||
(V "A" :@ V "B" :@ V "C")),
|
||||
parsesAs term "Type 0 ∷ Type 1 ∷ Type 2"
|
||||
(TYPE 0 :# (TYPE 1 :# TYPE 2))
|
||||
],
|
||||
|
||||
"binders" :- [
|
||||
parsesAs term "(1·x : A) → B x" $
|
||||
Pi One (Just "x") (V "A") (V "B" :@ V "x"),
|
||||
parsesAs term "(1.x : A) -> B x" $
|
||||
Pi One (Just "x") (V "A") (V "B" :@ V "x"),
|
||||
parsesAs term "(ω·x : A) → B x" $
|
||||
Pi Any (Just "x") (V "A") (V "B" :@ V "x"),
|
||||
parsesAs term "(#.x : A) -> B x" $
|
||||
Pi Any (Just "x") (V "A") (V "B" :@ V "x"),
|
||||
parseFails term "(x : A) → B x",
|
||||
parseFails term "(1 ω·x : A) → B x",
|
||||
parsesAs term "(x : A) × B x" $
|
||||
Sig (Just "x") (V "A") (V "B" :@ V "x"),
|
||||
parsesAs term "(x : A) ** B x" $
|
||||
Sig (Just "x") (V "A") (V "B" :@ V "x"),
|
||||
parseFails term "(1·x : A) × B x"
|
||||
],
|
||||
|
||||
"lambdas" :- [
|
||||
parsesAs term "λ x ⇒ x" $ Lam (Just "x") (V "x"),
|
||||
parsesAs term "λ x ⇒ x" $ Lam (Just "x") (V "x"),
|
||||
parsesAs term "fun x => x" $ Lam (Just "x") (V "x"),
|
||||
parsesAs term "δ i ⇒ x @i" $ DLam (Just "i") (V "x" :% V "i"),
|
||||
parsesAs term "dfun i => x @i" $ DLam (Just "i") (V "x" :% V "i"),
|
||||
parsesAs term "λ x y z ⇒ x z y" $
|
||||
Lam (Just "x") $ Lam (Just "y") $ Lam (Just "z") $
|
||||
V "x" :@ V "z" :@ V "y"
|
||||
],
|
||||
|
||||
"pairs" :- [
|
||||
parsesAs term "(x, y)" $
|
||||
Pair (V "x") (V "y"),
|
||||
parsesAs term "(x, y, z)" $
|
||||
Pair (V "x") (Pair (V "y") (V "z")),
|
||||
parsesAs term "((x, y), z)" $
|
||||
Pair (Pair (V "x") (V "y")) (V "z"),
|
||||
parsesAs term "(f x, g @y)" $
|
||||
Pair (V "f" :@ V "x") (V "g" :% V "y"),
|
||||
parsesAs term "((x : A) × B, (0·x : C) → D)" $
|
||||
Pair (Sig (Just "x") (V "A") (V "B"))
|
||||
(Pi Zero (Just "x") (V "C") (V "D")),
|
||||
parsesAs term "(λ x ⇒ x, δ i ⇒ e @i)" $
|
||||
Pair (Lam (Just "x") (V "x"))
|
||||
(DLam (Just "i") (V "e" :% V "i")),
|
||||
parsesAs term "(x,)" (V "x"), -- i GUESS
|
||||
parseFails term "(,y)",
|
||||
parseFails term "(x,,y)"
|
||||
],
|
||||
|
||||
"equality type" :- [
|
||||
parsesAs term "Eq [i ⇒ A] s t" $
|
||||
Eq (Just "i", V "A") (V "s") (V "t"),
|
||||
parsesAs term "Eq [i ⇒ A B (C @i)] (f x y) (g y z)" $
|
||||
Eq (Just "i", V "A" :@ V "B" :@ (V "C" :% V "i"))
|
||||
(V "f" :@ V "x" :@ V "y") (V "g" :@ V "y" :@ V "z"),
|
||||
parsesAs term "Eq [A] s t" $
|
||||
Eq (Nothing, V "A") (V "s") (V "t"),
|
||||
parsesAs term "s ≡ t : A" $
|
||||
Eq (Nothing, V "A") (V "s") (V "t"),
|
||||
parsesAs term "s == t : A" $
|
||||
Eq (Nothing, V "A") (V "s") (V "t"),
|
||||
parsesAs term "f x y ≡ g y z : A B C" $
|
||||
Eq (Nothing, V "A" :@ V "B" :@ V "C")
|
||||
(V "f" :@ V "x" :@ V "y") (V "g" :@ V "y" :@ V "z"),
|
||||
parseFails term "Eq",
|
||||
parseFails term "Eq s t",
|
||||
parseFails term "s ≡ t",
|
||||
parseFails term "≡"
|
||||
],
|
||||
|
||||
"case" :- [
|
||||
parsesAs term
|
||||
"case1 f s return x ⇒ A x of { (l, r) ⇒ add l r }" $
|
||||
Case One (V "f" :@ V "s")
|
||||
(Just "x", V "A" :@ V "x")
|
||||
(CasePair (Just "l", Just "r")
|
||||
(V "add" :@ V "l" :@ V "r")),
|
||||
parsesAs term
|
||||
"case1 f s return x ⇒ A x of { (l, r) ⇒ add l r; }" $
|
||||
Case One (V "f" :@ V "s")
|
||||
(Just "x", V "A" :@ V "x")
|
||||
(CasePair (Just "l", Just "r")
|
||||
(V "add" :@ V "l" :@ V "r")),
|
||||
parsesAs term
|
||||
"case 1 · f s return x ⇒ A x of { (l, r) ⇒ add l r }" $
|
||||
Case One (V "f" :@ V "s")
|
||||
(Just "x", V "A" :@ V "x")
|
||||
(CasePair (Just "l", Just "r")
|
||||
(V "add" :@ V "l" :@ V "r")),
|
||||
parsesAs term
|
||||
"case1 t return A of { 'x ⇒ p; 'y ⇒ q; 'z ⇒ r }" $
|
||||
Case One (V "t")
|
||||
(Nothing, V "A")
|
||||
(CaseEnum [("x", V "p"), ("y", V "q"), ("z", V "r")]),
|
||||
parsesAs term "caseω t return A of {}" $
|
||||
Case Any (V "t") (Nothing, V "A") (CaseEnum []),
|
||||
parsesAs term "case# t return A of {}" $
|
||||
Case Any (V "t") (Nothing, V "A") (CaseEnum [])
|
||||
]
|
||||
]
|
||||
|
|
@ -207,14 +207,14 @@ tests = "typechecker" :- [
|
|||
],
|
||||
|
||||
"enum types" :- [
|
||||
testTC "0 · `{} ⇐ ★₀" $ check_ (ctx [<]) szero (enum []) (TYPE 0),
|
||||
testTC "0 · `{} ⇐ ★₃" $ check_ (ctx [<]) szero (enum []) (TYPE 3),
|
||||
testTC "0 · `{a,b,c} ⇐ ★₀" $
|
||||
testTC "0 · {} ⇐ ★₀" $ check_ (ctx [<]) szero (enum []) (TYPE 0),
|
||||
testTC "0 · {} ⇐ ★₃" $ check_ (ctx [<]) szero (enum []) (TYPE 3),
|
||||
testTC "0 · {a,b,c} ⇐ ★₀" $
|
||||
check_ (ctx [<]) szero (enum ["a", "b", "c"]) (TYPE 0),
|
||||
testTC "0 · `{a,b,c} ⇐ ★₃" $
|
||||
testTC "0 · {a,b,c} ⇐ ★₃" $
|
||||
check_ (ctx [<]) szero (enum ["a", "b", "c"]) (TYPE 3),
|
||||
testTCFail "1 · `{} ⇍ ★₀" $ check_ (ctx [<]) sone (enum []) (TYPE 0),
|
||||
testTC "0=1 ⊢ 1 · `{} ⇐ ★₀" $ check_ (ctx01 [<]) sone (enum []) (TYPE 0)
|
||||
testTCFail "1 · {} ⇍ ★₀" $ check_ (ctx [<]) sone (enum []) (TYPE 0),
|
||||
testTC "0=1 ⊢ 1 · {} ⇐ ★₀" $ check_ (ctx01 [<]) sone (enum []) (TYPE 0)
|
||||
],
|
||||
|
||||
"free vars" :- [
|
||||
|
|
@ -229,7 +229,7 @@ tests = "typechecker" :- [
|
|||
note "(fail) runtime-relevant type",
|
||||
testTCFail "1 · A ⇏ ★₀" $
|
||||
infer_ (ctx [<]) sone (F "A"),
|
||||
note "refl : (0·A : ★₀) → (1·x : A) → (x ≡ x : A) ≔ (λ A x. δ _. x)",
|
||||
note "refl : (0·A : ★₀) → (1·x : A) → (x ≡ x : A) ≔ (λ A x ⇒ δ _ ⇒ x)",
|
||||
testTC "1 · refl ⇒ ⋯" $ inferAs (ctx [<]) sone (F "refl") reflTy,
|
||||
testTC "1 · [refl] ⇐ ⋯" $ check_ (ctx [<]) sone (FT "refl") reflTy
|
||||
],
|
||||
|
|
@ -248,21 +248,21 @@ tests = "typechecker" :- [
|
|||
|
||||
"lambda" :- [
|
||||
note "linear & unrestricted identity",
|
||||
testTC "1 · (λ x. x) ⇐ A ⊸ A" $
|
||||
testTC "1 · (λ x ⇒ x) ⇐ A ⊸ A" $
|
||||
check_ (ctx [<]) sone (["x"] :\\ BVT 0) (Arr One (FT "A") (FT "A")),
|
||||
testTC "1 · (λ x. x) ⇐ A → A" $
|
||||
testTC "1 · (λ x ⇒ x) ⇐ A → A" $
|
||||
check_ (ctx [<]) sone (["x"] :\\ BVT 0) (Arr Any (FT "A") (FT "A")),
|
||||
note "(fail) zero binding used relevantly",
|
||||
testTCFail "1 · (λ x. x) ⇍ A ⇾ A" $
|
||||
testTCFail "1 · (λ x ⇒ x) ⇍ A ⇾ A" $
|
||||
check_ (ctx [<]) sone (["x"] :\\ BVT 0) (Arr Zero (FT "A") (FT "A")),
|
||||
note "(but ok in overall erased context)",
|
||||
testTC "0 · (λ x. x) ⇐ A ⇾ A" $
|
||||
testTC "0 · (λ x ⇒ x) ⇐ A ⇾ A" $
|
||||
check_ (ctx [<]) szero (["x"] :\\ BVT 0) (Arr Zero (FT "A") (FT "A")),
|
||||
testTC "1 · (λ A x. refl A x) ⇐ ⋯ # (type of refl)" $
|
||||
testTC "1 · (λ A x ⇒ refl A x) ⇐ ⋯ # (type of refl)" $
|
||||
check_ (ctx [<]) sone
|
||||
(["A", "x"] :\\ E (F "refl" :@@ [BVT 1, BVT 0]))
|
||||
reflTy,
|
||||
testTC "1 · (λ A x. δ i. x) ⇐ ⋯ # (def. and type of refl)" $
|
||||
testTC "1 · (λ A x ⇒ δ i ⇒ x) ⇐ ⋯ # (def. and type of refl)" $
|
||||
check_ (ctx [<]) sone reflDef reflTy
|
||||
],
|
||||
|
||||
|
|
@ -272,59 +272,59 @@ tests = "typechecker" :- [
|
|||
testTC "x : A ⊢ 1 · (x, x) ⇐ A × A ⊳ ω·x" $
|
||||
checkQ (ctx [< FT "A"]) sone
|
||||
(Pair (BVT 0) (BVT 0)) (FT "A" `And` FT "A") [< Any],
|
||||
testTC "1 · (a, δ i. a) ⇐ (x : A) × (x ≡ a)" $
|
||||
testTC "1 · (a, δ i ⇒ a) ⇐ (x : A) × (x ≡ a)" $
|
||||
check_ (ctx [<]) sone
|
||||
(Pair (FT "a") (["i"] :\\% FT "a"))
|
||||
(Sig_ "x" (FT "A") $ Eq0 (FT "A") (BVT 0) (FT "a"))
|
||||
],
|
||||
|
||||
"unpairing" :- [
|
||||
testTC "x : A × A ⊢ 1 · (case1 x return B of (l,r). f2 l r) ⇒ B ⊳ 1·x" $
|
||||
testTC "x : A × A ⊢ 1 · (case1 x return B of (l,r) ⇒ f2 l r) ⇒ B ⊳ 1·x" $
|
||||
inferAsQ (ctx [< FT "A" `And` FT "A"]) sone
|
||||
(CasePair One (BV 0) (SN $ FT "B")
|
||||
(SY ["l", "r"] $ E $ F "f2" :@@ [BVT 1, BVT 0]))
|
||||
(FT "B") [< One],
|
||||
testTC "x : A × A ⊢ 1 · (caseω x return B of (l,r). f2 l r) ⇒ B ⊳ ω·x" $
|
||||
testTC "x : A × A ⊢ 1 · (caseω x return B of (l,r) ⇒ f2 l r) ⇒ B ⊳ ω·x" $
|
||||
inferAsQ (ctx [< FT "A" `And` FT "A"]) sone
|
||||
(CasePair Any (BV 0) (SN $ FT "B")
|
||||
(SY ["l", "r"] $ E $ F "f2" :@@ [BVT 1, BVT 0]))
|
||||
(FT "B") [< Any],
|
||||
testTC "x : A × A ⊢ 0 · (caseω x return B of (l,r). f2 l r) ⇒ B ⊳ 0·x" $
|
||||
testTC "x : A × A ⊢ 0 · (caseω x return B of (l,r) ⇒ f2 l r) ⇒ B ⊳ 0·x" $
|
||||
inferAsQ (ctx [< FT "A" `And` FT "A"]) szero
|
||||
(CasePair Any (BV 0) (SN $ FT "B")
|
||||
(SY ["l", "r"] $ E $ F "f2" :@@ [BVT 1, BVT 0]))
|
||||
(FT "B") [< Zero],
|
||||
testTCFail "x : A × A ⊢ 1 · (case0 x return B of (l,r). f2 l r) ⇏" $
|
||||
testTCFail "x : A × A ⊢ 1 · (case0 x return B of (l,r) ⇒ f2 l r) ⇏" $
|
||||
infer_ (ctx [< FT "A" `And` FT "A"]) sone
|
||||
(CasePair Zero (BV 0) (SN $ FT "B")
|
||||
(SY ["l", "r"] $ E $ F "f2" :@@ [BVT 1, BVT 0])),
|
||||
testTC "x : A × B ⊢ 1 · (caseω x return A of (l,r). l) ⇒ A ⊳ ω·x" $
|
||||
testTC "x : A × B ⊢ 1 · (caseω x return A of (l,r) ⇒ l) ⇒ A ⊳ ω·x" $
|
||||
inferAsQ (ctx [< FT "A" `And` FT "B"]) sone
|
||||
(CasePair Any (BV 0) (SN $ FT "A")
|
||||
(SY ["l", "r"] $ BVT 1))
|
||||
(FT "A") [< Any],
|
||||
testTC "x : A × B ⊢ 0 · (case1 x return A of (l,r). l) ⇒ A ⊳ 0·x" $
|
||||
testTC "x : A × B ⊢ 0 · (case1 x return A of (l,r) ⇒ l) ⇒ A ⊳ 0·x" $
|
||||
inferAsQ (ctx [< FT "A" `And` FT "B"]) szero
|
||||
(CasePair One (BV 0) (SN $ FT "A")
|
||||
(SY ["l", "r"] $ BVT 1))
|
||||
(FT "A") [< Zero],
|
||||
testTCFail "x : A × B ⊢ 1 · (case1 x return A of (l,r). l) ⇏" $
|
||||
testTCFail "x : A × B ⊢ 1 · (case1 x return A of (l,r) ⇒ l) ⇏" $
|
||||
infer_ (ctx [< FT "A" `And` FT "B"]) sone
|
||||
(CasePair One (BV 0) (SN $ FT "A")
|
||||
(SY ["l", "r"] $ BVT 1)),
|
||||
note "fst : (0·A : ★₁) → (0·B : A ↠ ★₁) → ((x : A) × B x) ↠ A",
|
||||
note " ≔ (λ A B p. caseω p return A of (x, y). x)",
|
||||
note " ≔ (λ A B p ⇒ caseω p return A of (x, y) ⇒ x)",
|
||||
testTC "0 · ‹type of fst› ⇐ ★₂" $
|
||||
check_ (ctx [<]) szero fstTy (TYPE 2),
|
||||
testTC "1 · ‹def of fst› ⇐ ‹type of fst›" $
|
||||
check_ (ctx [<]) sone fstDef fstTy,
|
||||
note "snd : (0·A : ★₁) → (0·B : A ↠ ★₁) → (ω·p : (x : A) × B x) → B (fst A B p)",
|
||||
note " ≔ (λ A B p. caseω p return p. B (fst A B p) of (x, y). y)",
|
||||
note " ≔ (λ A B p ⇒ caseω p return p ⇒ B (fst A B p) of (x, y) ⇒ y)",
|
||||
testTC "0 · ‹type of snd› ⇐ ★₂" $
|
||||
check_ (ctx [<]) szero sndTy (TYPE 2),
|
||||
testTC "1 · ‹def of snd› ⇐ ‹type of snd›" $
|
||||
check_ (ctx [<]) sone sndDef sndTy,
|
||||
testTC "0 · snd ★₀ (λ x. x) ⇒ (ω·p : (A : ★₀) × A) → fst ★₀ (λ x. x) p" $
|
||||
testTC "0 · snd ★₀ (λ x ⇒ x) ⇒ (ω·p : (A : ★₀) × A) → fst ★₀ (λ x ⇒ x) p" $
|
||||
inferAs (ctx [<]) szero
|
||||
(F "snd" :@@ [TYPE 0, ["x"] :\\ BVT 0])
|
||||
(Pi_ Any "A" (Sig_ "A" (TYPE 0) $ BVT 0) $
|
||||
|
|
@ -332,27 +332,27 @@ tests = "typechecker" :- [
|
|||
],
|
||||
|
||||
"enums" :- [
|
||||
testTC "1 · `a ⇐ `{a}" $
|
||||
testTC "1 · `a ⇐ {a}" $
|
||||
check_ (ctx [<]) sone (Tag "a") (enum ["a"]),
|
||||
testTC "1 · `a ⇐ `{a, b, c}" $
|
||||
testTC "1 · `a ⇐ {a, b, c}" $
|
||||
check_ (ctx [<]) sone (Tag "a") (enum ["a", "b", "c"]),
|
||||
testTCFail "1 · `a ⇍ `{b, c}" $
|
||||
testTCFail "1 · `a ⇍ {b, c}" $
|
||||
check_ (ctx [<]) sone (Tag "a") (enum ["b", "c"]),
|
||||
testTC "0=1 ⊢ 1 · `a ⇐ `{b, c}" $
|
||||
testTC "0=1 ⊢ 1 · `a ⇐ {b, c}" $
|
||||
check_ (ctx01 [<]) sone (Tag "a") (enum ["b", "c"])
|
||||
],
|
||||
|
||||
"equalities" :- [
|
||||
testTC "1 · (δ i. a) ⇐ a ≡ a" $
|
||||
testTC "1 · (δ i ⇒ a) ⇐ a ≡ a" $
|
||||
check_ (ctx [<]) sone (DLam $ SN $ FT "a")
|
||||
(Eq0 (FT "A") (FT "a") (FT "a")),
|
||||
testTC "0 · (λ p q. δ i. p) ⇐ (ω·p q : a ≡ a') → p ≡ q" $
|
||||
testTC "0 · (λ p q ⇒ δ i ⇒ p) ⇐ (ω·p q : a ≡ a') → p ≡ q" $
|
||||
check_ (ctx [<]) szero
|
||||
(["p","q"] :\\ ["i"] :\\% BVT 1)
|
||||
(Pi_ Any "p" (Eq0 (FT "A") (FT "a") (FT "a")) $
|
||||
Pi_ Any "q" (Eq0 (FT "A") (FT "a") (FT "a")) $
|
||||
Eq0 (Eq0 (FT "A") (FT "a") (FT "a")) (BVT 1) (BVT 0)),
|
||||
testTC "0 · (λ p q. δ i. q) ⇐ (ω·p q : a ≡ a') → p ≡ q" $
|
||||
testTC "0 · (λ p q ⇒ δ i ⇒ q) ⇐ (ω·p q : a ≡ a') → p ≡ q" $
|
||||
check_ (ctx [<]) szero
|
||||
(["p","q"] :\\ ["i"] :\\% BVT 0)
|
||||
(Pi_ Any "p" (Eq0 (FT "A") (FT "a") (FT "a")) $
|
||||
|
|
@ -363,8 +363,8 @@ tests = "typechecker" :- [
|
|||
"misc" :- [
|
||||
note "0·A : Type, 0·P : A → Type, ω·p : (1·x : A) → P x",
|
||||
note "⊢",
|
||||
note "1 · λ x y xy. δ i. p (xy i)",
|
||||
note " ⇐ (0·x y : A) → (1·xy : x ≡ y) → Eq [i. P (xy i)] (p x) (p y)",
|
||||
note "1 · λ x y xy ⇒ δ i ⇒ p (xy i)",
|
||||
note " ⇐ (0·x y : A) → (1·xy : x ≡ y) → Eq [i ⇒ P (xy i)] (p x) (p y)",
|
||||
testTC "cong" $
|
||||
check_ (ctx [<]) sone
|
||||
(["x", "y", "xy"] :\\ ["i"] :\\% E (F "p" :@ E (BV 0 :% BV 0)))
|
||||
|
|
@ -376,7 +376,7 @@ tests = "typechecker" :- [
|
|||
note "0·A : Type, 0·P : ω·A → Type,",
|
||||
note "ω·p q : (1·x : A) → P x",
|
||||
note "⊢",
|
||||
note "1 · λ eq. δ i. λ x. eq x i",
|
||||
note "1 · λ eq ⇒ δ i ⇒ λ x ⇒ eq x i",
|
||||
note " ⇐ (1·eq : (1·x : A) → p x ≡ q x) → p ≡ q",
|
||||
testTC "funext" $
|
||||
check_ (ctx [<]) sone
|
||||
|
|
|
|||
|
|
@ -9,4 +9,6 @@ modules =
|
|||
TypingImpls,
|
||||
Tests.Reduce,
|
||||
Tests.Equal,
|
||||
Tests.Typechecker
|
||||
Tests.Typechecker,
|
||||
Tests.Lexer,
|
||||
Tests.Parser
|
||||
|
|
|
|||
Loading…
Reference in a new issue