progs/fun_parser.scala
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// A Small Compiler for a Simple Functional Language
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// (includes a lexer and a parser)
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object Fun_Parser {
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import scala.language.implicitConversions    
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import scala.language.reflectiveCalls
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import java.io._
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abstract class Token extends Serializable 
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case object T_SEMI extends Token
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case object T_COMMA extends Token
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case object T_LPAREN extends Token
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case object T_RPAREN extends Token
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case class T_ID(s: String) extends Token
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case class T_OP(s: String) extends Token
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case class T_NUM(n: Int) extends Token
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case class T_KWD(s: String) extends Token
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// Parser combinators
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//    type parameter I needs to be of Seq-type
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//
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abstract class Parser[I, T](implicit ev: I => Seq[_]) {
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  def parse(ts: I): Set[(T, I)]
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  def parse_all(ts: I) : Set[T] =
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    for ((head, tail) <- parse(ts); if (tail.isEmpty)) yield head
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  def parse_single(ts: I) : T = parse_all(ts).toList match {
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    case List(t) => t
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    case _ => { println ("Parse Error\n") ; sys.exit(-1) }
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  }
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}
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// convenience for writing grammar rules
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case class ~[+A, +B](_1: A, _2: B)
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class SeqParser[I, T, S](p: => Parser[I, T], 
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                         q: => Parser[I, S])(implicit ev: I => Seq[_]) extends Parser[I, ~[T, S]] {
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  def parse(sb: I) = 
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    for ((head1, tail1) <- p.parse(sb); 
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         (head2, tail2) <- q.parse(tail1)) yield (new ~(head1, head2), tail2)
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}
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class AltParser[I, T](p: => Parser[I, T], 
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                      q: => Parser[I, T])(implicit ev: I => Seq[_]) extends Parser[I, T] {
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  def parse(sb: I) = p.parse(sb) ++ q.parse(sb)   
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}
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class FunParser[I, T, S](p: => Parser[I, T], 
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                         f: T => S)(implicit ev: I => Seq[_]) extends Parser[I, S] {
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  def parse(sb: I) = 
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    for ((head, tail) <- p.parse(sb)) yield (f(head), tail)
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}
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// convenient combinators
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implicit def ParserOps[I, T](p: Parser[I, T])(implicit ev: I => Seq[_]) = new {
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  def || (q : => Parser[I, T]) = new AltParser[I, T](p, q)
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  def ==>[S] (f: => T => S) = new FunParser[I, T, S](p, f)
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  def ~[S] (q : => Parser[I, S]) = new SeqParser[I, T, S](p, q)
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}
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def ListParser[I, T, S](p: => Parser[I, T], 
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                        q: => Parser[I, S])(implicit ev: I => Seq[_]): Parser[I, List[T]] = {
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  (p ~ q ~ ListParser(p, q)) ==> { case x ~ _ ~ z => x :: z : List[T] } ||
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  (p ==> ((s) => List(s)))
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}
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case class TokParser(tok: Token) extends Parser[List[Token], Token] {
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  def parse(ts: List[Token]) = ts match {
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    case t::ts if (t == tok) => Set((t, ts)) 
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    case _ => Set ()
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  }
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}
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implicit def token2tparser(t: Token) = TokParser(t)
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implicit def TokOps(t: Token) = new {
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  def || (q : => Parser[List[Token], Token]) = new AltParser[List[Token], Token](t, q)
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  def ==>[S] (f: => Token => S) = new FunParser[List[Token], Token, S](t, f)
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  def ~[S](q : => Parser[List[Token], S]) = new SeqParser[List[Token], Token, S](t, q)
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}
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case object NumParser extends Parser[List[Token], Int] {
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  def parse(ts: List[Token]) = ts match {
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    case T_NUM(n)::ts => Set((n, ts)) 
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    case _ => Set ()
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  }
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}
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case object IdParser extends Parser[List[Token], String] {
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  def parse(ts: List[Token]) = ts match {
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    case T_ID(s)::ts => Set((s, ts)) 
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    case _ => Set ()
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  }
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}
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// Abstract syntax trees for the Fun language
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abstract class Exp extends Serializable 
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abstract class BExp extends Serializable 
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abstract class Decl extends Serializable 
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case class Def(name: String, args: List[String], body: Exp) extends Decl
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case class Main(e: Exp) extends Decl
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case class Call(name: String, args: List[Exp]) extends Exp
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case class If(a: BExp, e1: Exp, e2: Exp) extends Exp
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case class Write(e: Exp) extends Exp
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case class Var(s: String) extends Exp
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case class Num(i: Int) extends Exp
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case class Aop(o: String, a1: Exp, a2: Exp) extends Exp
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case class Sequence(e1: Exp, e2: Exp) extends Exp
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case class Bop(o: String, a1: Exp, a2: Exp) extends BExp
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// Grammar Rules for the Fun language
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// arithmetic expressions
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lazy val Exp: Parser[List[Token], Exp] = 
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  (T_KWD("if") ~ BExp ~ T_KWD("then") ~ Exp ~ T_KWD("else") ~ Exp) ==>
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    { case _ ~ x ~ _ ~ y ~ _ ~ z => If(x, y, z): Exp } ||
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  (M ~ T_SEMI ~ Exp) ==> { case x ~ _ ~ y => Sequence(x, y): Exp } || M
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lazy val M: Parser[List[Token], Exp] =
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  (T_KWD("write") ~ L) ==> { case _ ~ y => Write(y): Exp } || L
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lazy val L: Parser[List[Token], Exp] = 
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  (T ~ T_OP("+") ~ Exp) ==> { case x ~ _ ~ z => Aop("+", x, z): Exp } ||
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  (T ~ T_OP("-") ~ Exp) ==> { case x ~ _ ~ z => Aop("-", x, z): Exp } || T  
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lazy val T: Parser[List[Token], Exp] = 
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  (F ~ T_OP("*") ~ T) ==> { case x ~ _ ~ z => Aop("*", x, z): Exp } || 
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  (F ~ T_OP("/") ~ T) ==> { case x ~ _ ~ z => Aop("/", x, z): Exp } || 
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  (F ~ T_OP("%") ~ T) ==> { case x ~ _ ~ z => Aop("%", x, z): Exp } || F
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lazy val F: Parser[List[Token], Exp] = 
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  (IdParser ~ T_LPAREN ~ ListParser(Exp, T_COMMA) ~ T_RPAREN) ==> 
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    { case x ~ _ ~ z ~ _ => Call(x, z): Exp } ||
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  (T_LPAREN ~ Exp ~ T_RPAREN) ==> { case _ ~ y ~ _ => y: Exp } || 
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  IdParser ==> { case x => Var(x): Exp } || 
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  NumParser ==> { case x => Num(x): Exp }
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// boolean expressions
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lazy val BExp: Parser[List[Token], BExp] = 
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  (Exp ~ T_OP("==") ~ Exp) ==> { case x ~ _ ~ z => Bop("==", x, z): BExp } || 
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  (Exp ~ T_OP("!=") ~ Exp) ==> { case x ~ _ ~ z => Bop("!=", x, z): BExp } || 
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  (Exp ~ T_OP("<") ~ Exp) ==> { case x ~ _ ~ z => Bop("<", x, z): BExp } || 
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  (Exp ~ T_OP(">") ~ Exp) ==> { case x ~ _ ~ z => Bop("<", z, x): BExp } || 
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  (Exp ~ T_OP("<=") ~ Exp) ==> { case x ~ _ ~ z => Bop("<=", x, z): BExp } || 
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  (Exp ~ T_OP("=>") ~ Exp) ==> { case x ~ _ ~ z => Bop("<=", z, x): BExp }  
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lazy val Defn: Parser[List[Token], Decl] =
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   (T_KWD("def") ~ IdParser ~ T_LPAREN ~ ListParser(IdParser, T_COMMA) ~ T_RPAREN ~ T_OP("=") ~ Exp) ==>
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     { case _ ~ y ~ _ ~ w ~ _ ~ _ ~ r => Def(y, w, r): Decl }
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lazy val Prog: Parser[List[Token], List[Decl]] =
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  (Defn ~ T_SEMI ~ Prog) ==> { case x ~ _ ~ z => x :: z : List[Decl] } ||
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  (Exp ==> ((s) => List(Main(s)) : List[Decl]))
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// Reading tokens and Writing parse trees
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def serialise[T](fname: String, data: T) = {
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  val out = new ObjectOutputStream(new FileOutputStream(fname))
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  out.writeObject(data)
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  out.close
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}
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def deserialise[T](fname: String) : T = {
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  val in = new ObjectInputStream(new FileInputStream(fname))
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  val data = in.readObject.asInstanceOf[T]
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  in.close
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  data
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}
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def main(args: Array[String]) = {
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  val fname = args(0)
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  val pname = fname.stripSuffix(".tks") ++ ".prs"
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  val tks = deserialise[List[Token]](fname)
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  serialise(pname, Prog.parse_single(tks))
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  // testing whether read-back is working
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  //val ptree = deserialise[List[Decl]](pname)
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  //println(s"Reading back from ${pname}:\n${ptree.mkString("\n")}")  
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}
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}