/- Copyright (c) 2019 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura, Sebastian Ullrich -/ prelude import init.lean.parser.parser import init.lean.parser.level namespace Lean namespace Parser @[init mkBuiltinParsingTablesRef] constant builtinTermParsingTable : IO.Ref ParsingTables := default _ @[init] def regBuiltinTermParserAttr : IO Unit := registerBuiltinParserAttribute `builtinTermParser `Lean.Parser.builtinTermParsingTable def termParserFn {k : ParserKind} (rbp : Nat) : ParserFn k := fun _ => runBuiltinParser "term" builtinTermParsingTable rbp @[inline] def termParser {k : ParserKind} (rbp : Nat := 0) : Parser k := { fn := termParserFn rbp } namespace Term /- Helper functions for defining simple parsers -/ def unicodeInfixR (sym : String) (asciiSym : String) (lbp : Nat) : TrailingParser := pushLeading >> unicodeSymbol sym asciiSym lbp >> termParser (lbp - 1) def infixR (sym : String) (lbp : Nat) : TrailingParser := pushLeading >> symbol sym lbp >> termParser (lbp - 1) def unicodeInfixL (sym : String) (asciiSym : String) (lbp : Nat) : TrailingParser := pushLeading >> unicodeSymbol sym asciiSym lbp >> termParser lbp def infixL (sym : String) (lbp : Nat) : TrailingParser := pushLeading >> symbol sym lbp >> termParser lbp /- Builting parsers -/ @[builtinTermParser] def id := parser! ident >> optional (".{" >> sepBy1 levelParser ", " >> "}") @[builtinTermParser] def num : Parser := numLit @[builtinTermParser] def str : Parser := strLit @[builtinTermParser] def type := parser! symbol "Type" appPrec @[builtinTermParser] def sort := parser! symbol "Sort" appPrec @[builtinTermParser] def hole := parser! symbol "_" appPrec @[builtinTermParser] def «sorry» := parser! symbol "sorry" appPrec @[builtinTermParser] def cdot := parser! symbol "·" appPrec @[inline] def typeAscription := parser! " : " >> termParser @[inline] def tupleTail := parser! ", " >> sepBy1 termParser ", " @[inline] def parenSpecial : Parser := optional (tupleTail <|> typeAscription) @[builtinTermParser] def paren := parser! symbol "(" appPrec >> optional (termParser >> parenSpecial) >> ")" @[builtinTermParser] def anonymousCtor := parser! symbol "⟨" appPrec >> sepBy1 termParser ", " >> "⟩" @[inline] def optIdent : Parser := optional (try (ident >> " : ")) @[builtinTermParser] def «if» := parser! "if " >> optIdent >> termParser >> " then " >> termParser >> " else " >> termParser @[inline] def fromTerm := parser! " from " >> termParser @[inline] def haveAssign := parser! " := " >> termParser @[builtinTermParser] def «have» := parser! "have " >> optIdent >> termParser >> (haveAssign <|> fromTerm) >> "; " >> termParser @[builtinTermParser] def «suffices» := parser! "suffices " >> optIdent >> termParser >> fromTerm >> "; " >> termParser @[builtinTermParser] def «show» := parser! "show " >> termParser >> fromTerm @[builtinTermParser] def «fun» := parser! unicodeSymbol "λ" "fun" >> many1 (termParser appPrec) >> unicodeSymbol "⇒" "=>" >> termParser @[inline] def structInstField := parser! ident >> " := " >> termParser @[inline] def structInstSource := parser! ".." >> optional termParser @[builtinTermParser] def structInst := parser! symbol "{" appPrec >> optional (try (ident >> " . ")) >> sepBy (structInstField <|> structInstSource) ", " true >> "}" @[inline] def typeSpec := parser! " : " >> termParser @[inline] def optType : Parser := optional typeSpec @[builtinTermParser] def subtype := parser! "{" >> ident >> optType >> " // " >> termParser >> "}" @[builtinTermParser] def list := parser! symbol "[" appPrec >> sepBy termParser "," true >> "]" @[inline] def binderIdent : Parser := ident <|> hole @[inline] def binderType (requireType := false) : Parser := if requireType then " : " >> termParser else optional (" : " >> termParser) @[inline] def binderDefault := parser! " := " >> termParser @[inline] def binderTactic := parser! " . " >> termParser @[inline] def explicitBinder (requireType := false) := parser! "(" >> many1 binderIdent >> binderType requireType >> optional (binderDefault <|> binderTactic) >> ")" @[inline] def implicitBinder (requireType := false) := parser! "{" >> many1 binderIdent >> binderType requireType >> "}" @[inline] def instBinder := parser! "[" >> optIdent >> termParser >> "]" @[inline] def bracktedBinder (requireType := false) := explicitBinder requireType <|> implicitBinder requireType <|> instBinder @[builtinTermParser] def depArrow := parser! bracktedBinder true >> unicodeSymbolCheckPrec " → " " -> " 25 >> termParser @[inline] def simpleBinder := parser! many1 binderIdent @[builtinTermParser] def «forall» := parser! unicodeSymbol "∀" "forall" >> many1 (simpleBinder <|> bracktedBinder) >> ", " >> termParser @[inline] def equation := parser! " | " >> sepBy1 termParser ", " >> " => " >> termParser @[builtinTermParser] def «match» := parser! "match " >> sepBy1 termParser ", " >> optType >> " with " >> many1 equation @[builtinTermParser] def «nomatch» := parser! "nomatch " >> termParser @[inline] def namedArgument := tparser! try ("(" >> ident >> " := ") >> termParser >> ")" @[builtinTermParser] def app := tparser! pushLeading >> (namedArgument <|> termParser appPrec) @[builtinTermParser] def proj := tparser! pushLeading >> symbolNoWs "." (appPrec+1) >> (fieldIdx <|> ident) @[builtinTermParser] def arrow := tparser! unicodeInfixR " → " " -> " 25 @[builtinTermParser] def array := tparser! pushLeading >> symbolNoWs "[" (appPrec+1) >> termParser >>"]" @[builtinTermParser] def fcomp := tparser! infixR " ∘ " 90 @[builtinTermParser] def add := tparser! infixL " + " 65 @[builtinTermParser] def sub := tparser! infixL " - " 65 @[builtinTermParser] def mul := tparser! infixL " * " 70 @[builtinTermParser] def div := tparser! infixL " / " 70 @[builtinTermParser] def mod := tparser! infixL " % " 70 @[builtinTermParser] def modN := tparser! infixL " %ₙ " 70 @[builtinTermParser] def le := tparser! unicodeInfixL " ≤ " " <= " 50 @[builtinTermParser] def ge := tparser! unicodeInfixL " ≥ " " >= " 50 @[builtinTermParser] def lt := tparser! infixL " < " 50 @[builtinTermParser] def gt := tparser! infixL " > " 50 @[builtinTermParser] def eq := tparser! infixL " = " 50 @[builtinTermParser] def beq := tparser! infixL " == " 50 @[builtinTermParser] def and := tparser! unicodeInfixR " ∧ " " /\\ " 35 @[builtinTermParser] def or := tparser! unicodeInfixR " ∨ " " \\/ " 30 @[builtinTermParser] def iff := tparser! unicodeInfixL " ↔ " " <-> " 20 end Term end Parser end Lean