--- a/progs/mllex.scala Mon Jul 27 11:02:48 2020 +0100
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,109 +0,0 @@
-:load matcher.scala
-
-
-// some regular expressions
-val KEYWORDS = ALTS(List("#", "(", ")", ",", "->", "...", ":", ":>", ";", "=",
- "=>", "[", "]", "_", "{", "|", "}", "abstype", "and", "andalso", "as",
- "case", "datatype", "do", "else", "end", "eqtype", "exception", "fn",
- "fun", "functor", "handle", "if", "in", "include", "infix", "infixr",
- "let", "local", "nonfix", "of", "op", "open", "orelse", "raise", "rec",
- "sharing", "sig", "signature", "struct", "structure", "then", "type",
- "val", "where", "while", "with", "withtype"))
-
-val DIGITS = RANGE("0123456789")
-val NONZERODIGITS = RANGE("123456789")
-
-val POSITIVES = ALT(SEQ(NONZERODIGITS, STAR(DIGITS)), "0")
-val INTEGERS = ALT(SEQ("~", POSITIVES), POSITIVES)
-
-val ALL = ALTS(KEYWORDS, INTEGERS)
-
-val COMMENT = SEQS("/*", NOT(SEGS(STAR(ALL), "*/", STAR(ALL))), "*/")
-
-
-
-val LPAREN = CHAR('(')
-val RPAREN = CHAR(')')
-val WHITESPACE = PLUS(RANGE(" \n".toList))
-val OPS = RANGE("+-*".toList)
-
-// 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 T_NT(s: String, rhs: List[Token]) extends Token
-
-def tokenizer(rs: List[Rule[Token]], s: String) : List[Token] =
- tokenize(rs, s.toList).filterNot(_ match {
- case T_WHITESPACE => true
- case _ => false
- })
-
-
-
-// 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)))
-
-tokenize_file(Nil, "nominal_library.ML")
-
-
-
-
-type Grammar = List[(String, List[Token])]
-
-// grammar for arithmetic expressions
-val grammar =
- List ("E" -> List(T_NUM),
- "E" -> List(T_NT("E", Nil), T_OP("+"), T_NT("E", Nil)),
- "E" -> List(T_NT("E", Nil), T_OP("-"), T_NT("E", Nil)),
- "E" -> List(T_NT("E", Nil), T_OP("*"), T_NT("E", Nil)),
- "E" -> List(T_LPAREN, T_NT("E", Nil), T_RPAREN))
-
-def startsWith[A](ts1: List[A], ts2: List[A]) : Boolean = (ts1, ts2) match {
- case (_, Nil) => true
- case (T_NT(e, _)::ts1,T_NT(f, _)::ts2) => (e == f) && startsWith(ts1, ts2)
- case (t1::ts1, t2::ts2) => (t1 == t2) && startsWith(ts1, ts2)
- case _ => false
-}
-
-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 (startsWith(ts1, prefix)) Some(ts2.reverse, ts1.drop(prefix.length))
- else chop(ts, prefix, t::ts2)
- }
-
-// examples
-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 parse1(g: Grammar, ts: List[Token]) : Boolean = ts match {
- case List(T_NT("E", tree)) => { println(tree); true }
- case _ => {
- val tss = for ((lhs, rhs) <- g) yield replace(ts, rhs, List(T_NT(lhs, rhs)))
- tss.flatten.exists(parse1(g, _))
- }
-}
-
-
-println() ; parse1(grammar, tokenizer(lexing_rules, "2 + 3 * 4 + 1"))
-println() ; parse1(grammar, tokenizer(lexing_rules, "(2 + 3) * (4 + 1)"))
-println() ; parse1(grammar, tokenizer(lexing_rules, "(2 + 3) * 4 (4 + 1)"))
-
-
-