diff -r e66bd5c563eb -r b5b5583a3a08 progs/parser1.scala --- a/progs/parser1.scala Mon Jul 27 11:02:48 2020 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,88 +0,0 @@ -// A naive bottom-up parser with backtracking -// -// Needs: -// :load matcher.scala - -// some regular expressions -val DIGIT = RANGE("0123456789") -val NONZERODIGIT = RANGE("123456789") - -val NUMBER = ALT(SEQ(NONZERODIGIT, STAR(DIGIT)), "0") -val LPAREN = CHAR('(') -val RPAREN = CHAR(')') -val WHITESPACE = PLUS(RANGE(" \n")) -val OPS = RANGE("+-*") - -// for classifying the strings that have been recognised - -abstract class Token -case object T_WHITESPACE extends Token -case object T_NUM extends Token -case class T_OP(s: String) extends Token -case object T_LPAREN extends Token -case object T_RPAREN extends Token -case class NT(s: String) extends Token - -// lexing rules for arithmetic expressions -val lexing_rules: List[Rule[Token]]= - List((NUMBER, (s) => T_NUM), - (WHITESPACE, (s) => T_WHITESPACE), - (LPAREN, (s) => T_LPAREN), - (RPAREN, (s) => T_RPAREN), - (OPS, (s) => T_OP(s.mkString))) - -// the tokenizer -val Tok = Tokenizer(lexing_rules, List(T_WHITESPACE)) - -type Grammar = List[(String, List[Token])] - -// grammar for arithmetic expressions -val grammar = - List ("F" -> List(T_NUM), - "E" -> List(T_NUM), - "E" -> List(NT("E"), T_OP("+"), NT("E")), - "E" -> List(NT("E"), T_OP("-"), NT("E")), - "E" -> List(NT("E"), T_OP("*"), NT("E")), - "E" -> List(T_LPAREN, NT("E"), T_RPAREN)) - - -def chop[A](ts1: List[A], prefix: List[A], ts2: List[A]) : Option[(List[A], List[A])] = - ts1 match { - case Nil => None - case t::ts => - if (ts1.startsWith(prefix)) Some(ts2.reverse, ts1.drop(prefix.length)) - else chop(ts, prefix, t::ts2) - } - -// examples for chop -chop(List(1,2,3,4,5,6,7,8,9), List(4,5), Nil) -chop(List(1,2,3,4,5,6,7,8,9), List(3,5), Nil) - -def replace[A](ts: List[A], out: List[A], in: List [A]) = - chop(ts, out, Nil) match { - case None => None - case Some((before, after)) => Some(before ::: in ::: after) - } - -def parse(g: Grammar, ts: List[Token]) : Boolean = { - println(ts) - if (ts == List(NT("E"))) true - else { - val tss = for ((lhs, rhs) <- g) yield replace(ts, rhs, List(NT(lhs))) - tss.flatten.exists(parse(g, _)) - } -} - -def parser(g: Grammar, s: String) = { - println("\n") - parse(g, Tok.fromString(s)) -} - - - -parser(grammar, "2 + 3 * 4 + 1") -parser(grammar, "(2 + 3) * (4 + 1)") -parser(grammar, "(2 + 3) * 4 (4 + 1)") - - -