--- a/progs/i.scala Mon Jul 27 11:02:48 2020 +0100
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,492 +0,0 @@
-
-// regular expressions including NOT
-abstract class Rexp
-
-case object NULL extends Rexp
-case object EMPTY extends Rexp
-case object ALLC extends Rexp // recognises any character
-case class CHAR(c: Char) extends Rexp
-case class ALT(r1: Rexp, r2: Rexp) extends Rexp
-case class SEQ(r1: Rexp, r2: Rexp) extends Rexp
-case class STAR(r: Rexp) extends Rexp
-case class NOT(r: Rexp) extends Rexp // negation of a regular expression
-
-
-// nullable function: tests whether the regular
-// expression can recognise the empty string
-def nullable (r: Rexp) : Boolean = r match {
- case NULL => false
- case EMPTY => true
- case ALLC => false
- case CHAR(_) => false
- case ALT(r1, r2) => nullable(r1) || nullable(r2)
- case SEQ(r1, r2) => nullable(r1) && nullable(r2)
- case STAR(_) => true
- case NOT(r) => !(nullable(r))
-}
-
-// tests whether a regular expression
-// cannot recognise more
-def no_more (r: Rexp) : Boolean = r match {
- case NULL => true
- case EMPTY => false
- case ALLC => false
- case CHAR(_) => false
- case ALT(r1, r2) => no_more(r1) && no_more(r2)
- case SEQ(r1, r2) => if (nullable(r1)) (no_more(r1) && no_more(r2)) else no_more(r1)
- case STAR(_) => false
- case NOT(r) => !(no_more(r))
-}
-
-
-// derivative of a regular expression w.r.t. a character
-def der (c: Char, r: Rexp) : Rexp = r match {
- case NULL => NULL
- case EMPTY => NULL
- case ALLC => EMPTY
- case CHAR(d) => if (c == d) EMPTY else NULL
- case ALT(r1, r2) => ALT(der(c, r1), der(c, r2))
- case SEQ(r1, r2) =>
- if (nullable(r1)) ALT(SEQ(der(c, r1), r2), der(c, r2))
- else SEQ(der(c, r1), r2)
- case STAR(r) => SEQ(der(c, r), STAR(r))
- case NOT(r) => NOT(der (c, r))
-}
-
-// regular expression for specifying
-// ranges of characters
-def Range(s : List[Char]) : Rexp = s match {
- case Nil => NULL
- case c::Nil => CHAR(c)
- case c::s => ALT(CHAR(c), Range(s))
-}
-def RANGE(s: String) = Range(s.toList)
-
-
-// one or more
-def PLUS(r: Rexp) = SEQ(r, STAR(r))
-
-// many alternatives
-def Alts(rs: List[Rexp]) : Rexp = rs match {
- case Nil => NULL
- case r::Nil => r
- case r::rs => ALT(r, Alts(rs))
-}
-def ALTS(rs: Rexp*) = Alts(rs.toList)
-
-// repetitions
-def Seqs(rs: List[Rexp]) : Rexp = rs match {
- case Nil => NULL
- case r::Nil => r
- case r::rs => SEQ(r, Seqs(rs))
-}
-def SEQS(rs: Rexp*) = Seqs(rs.toList)
-
-// some convenience for typing in regular expressions
-def charlist2rexp(s : List[Char]) : Rexp = s match {
- case Nil => EMPTY
- case c::Nil => CHAR(c)
- case c::s => SEQ(CHAR(c), charlist2rexp(s))
-}
-implicit def string2rexp(s : String) : Rexp = charlist2rexp(s.toList)
-
-
-type Rule[T] = (Rexp, List[Char] => T)
-
-case class Tokenizer[T](rules: List[Rule[T]], excl: List[T] = Nil) {
-
- def munch(r: Rexp, action: List[Char] => T, s: List[Char], t: List[Char]) : Option[(List[Char], T)] =
- s match {
- case Nil if (nullable(r)) => Some(Nil, action(t))
- case Nil => None
- case c::s if (no_more(der (c, r)) && nullable(r)) => Some(c::s, action(t))
- case c::s if (no_more(der (c, r))) => None
- case c::s => munch(der (c, r), action, s, t ::: List(c))
- }
-
- def one_token(s: List[Char]) : Either[(List[Char], T), String] = {
- val somes = rules.map { (r) => munch(r._1, r._2, s, Nil) }.flatten
- if (somes == Nil) Right(s.mkString)
- else Left(somes sortBy (_._1.length) head)
- }
-
- def tokenize(cs: List[Char]) : List[T] = cs match {
- case Nil => Nil
- case _ => one_token(cs) match {
- case Left((rest, token)) => token :: tokenize(rest)
- case Right(s) => { println("Cannot tokenize: \"" + s + "\""); Nil }
- }
- }
-
- def fromString(s: String) : List[T] =
- tokenize(s.toList).filterNot(excl.contains(_))
-
- def fromFile(name: String) : List[T] =
- fromString(io.Source.fromFile(name).mkString)
-
-}
-
-
-// parser combinators with input type I and return type T
-
-abstract class Parser[I <% Seq[_], T] {
- def parse(ts: I): Set[(T, I)]
-
- def parse_all(ts: I) : Set[T] =
- for ((head, tail) <- parse(ts); if (tail.isEmpty)) yield head
-
- def parse_single(ts: I) : T = parse_all(ts).toList match {
- case t::Nil => t
- case _ => { println ("Parse Error") ; sys.exit(-1) }
- }
-
- def || (right : => Parser[I, T]) : Parser[I, T] = new AltParser(this, right)
- def ==>[S] (f: => T => S) : Parser [I, S] = new FunParser(this, f)
- def ~[S] (right : => Parser[I, S]) : Parser[I, (T, S)] = new SeqParser(this, right)
- def ~>[S] (right : => Parser[I, S]) : Parser[I, S] = this ~ right ==> (_._2)
- def <~[S] (right : => Parser[I, S]) : Parser[I, T] = this ~ right ==> (_._1)
-}
-
-class SeqParser[I <% Seq[_], T, S](p: => Parser[I, T], q: => Parser[I, S]) extends Parser[I, (T, S)] {
- def parse(sb: I) =
- for ((head1, tail1) <- p.parse(sb);
- (head2, tail2) <- q.parse(tail1)) yield ((head1, head2), tail2)
-}
-
-class AltParser[I <% Seq[_], T](p: => Parser[I, T], q: => Parser[I, T]) extends Parser[I, T] {
- def parse(sb: I) = p.parse(sb) ++ q.parse(sb)
-}
-
-class FunParser[I <% Seq[_], T, S](p: => Parser[I, T], f: T => S) extends Parser[I, S] {
- def parse(sb: I) =
- for ((head, tail) <- p.parse(sb)) yield (f(head), tail)
-}
-
-
-// A parser and evaluator for teh while language
-//
-//:load matcher.scala
-//:load parser3.scala
-
-// some regular expressions
-val SYM = RANGE("ABCDEFGHIJKLMNOPQRSTUVXYZabcdefghijklmnopqrstuvwxyz_")
-val DIGIT = RANGE("0123456789")
-val ID = SEQ(SYM, STAR(ALT(SYM, DIGIT)))
-val NUM = PLUS(DIGIT)
-val KEYWORD = ALTS("skip", "while", "do", "if", "then", "else", "true", "false", "write")
-val SEMI: Rexp = ";"
-val OP: Rexp = ALTS(":=", "=", "-", "+", "*", "!=", "<", ">")
-val WHITESPACE = PLUS(RANGE(" \n"))
-val RPAREN: Rexp = ")"
-val LPAREN: Rexp = "("
-val BEGIN: Rexp = "{"
-val END: Rexp = "}"
-val COMMENT = SEQS("/*", NOT(SEQS(STAR(ALLC), "*/", STAR(ALLC))), "*/")
-
-// tokens for classifying the strings that have been recognised
-abstract class Token
-case object T_WHITESPACE extends Token
-case object T_COMMENT extends Token
-case object T_SEMI extends Token
-case object T_LPAREN extends Token
-case object T_RPAREN extends Token
-case object T_BEGIN extends Token
-case object T_END extends Token
-case class T_ID(s: String) extends Token
-case class T_OP(s: String) extends Token
-case class T_NUM(s: String) extends Token
-case class T_KWD(s: String) extends Token
-
-val lexing_rules: List[Rule[Token]] =
- List((KEYWORD, (s) => T_KWD(s.mkString)),
- (ID, (s) => T_ID(s.mkString)),
- (OP, (s) => T_OP(s.mkString)),
- (NUM, (s) => T_NUM(s.mkString)),
- (SEMI, (s) => T_SEMI),
- (LPAREN, (s) => T_LPAREN),
- (RPAREN, (s) => T_RPAREN),
- (BEGIN, (s) => T_BEGIN),
- (END, (s) => T_END),
- (WHITESPACE, (s) => T_WHITESPACE),
- (COMMENT, (s) => T_COMMENT))
-
-// the tokenizer
-val Tok = Tokenizer(lexing_rules, List(T_WHITESPACE, T_COMMENT))
-
-// the abstract syntax trees
-abstract class Stmt
-abstract class AExp
-abstract class BExp
-type Block = List[Stmt]
-case object Skip extends Stmt
-case class If(a: BExp, bl1: Block, bl2: Block) extends Stmt
-case class While(b: BExp, bl: Block) extends Stmt
-case class Assign(s: String, a: AExp) extends Stmt
-case class Write(s: String) extends Stmt
-
-case class Var(s: String) extends AExp
-case class Num(i: Int) extends AExp
-case class Aop(o: String, a1: AExp, a2: AExp) extends AExp
-
-case object True extends BExp
-case object False extends BExp
-case class Relop(o: String, a1: AExp, a2: AExp) extends BExp
-
-// atomic parsers
-case class TokParser(tok: Token) extends Parser[List[Token], Token] {
- def parse(ts: List[Token]) = ts match {
- case t::ts if (t == tok) => Set((t, ts))
- case _ => Set ()
- }
-}
-implicit def token2tparser(t: Token) = TokParser(t)
-
-case object NumParser extends Parser[List[Token], Int] {
- def parse(ts: List[Token]) = ts match {
- case T_NUM(s)::ts => Set((s.toInt, ts))
- case _ => Set ()
- }
-}
-
-case object IdParser extends Parser[List[Token], String] {
- def parse(ts: List[Token]) = ts match {
- case T_ID(s)::ts => Set((s, ts))
- case _ => Set ()
- }
-}
-
-
-// arithmetic expressions
-lazy val AExp: Parser[List[Token], AExp] =
- (T ~ T_OP("+") ~ AExp) ==> { case ((x, y), z) => Aop("+", x, z): AExp } ||
- (T ~ T_OP("-") ~ AExp) ==> { case ((x, y), z) => Aop("-", x, z): AExp } || T
-lazy val T: Parser[List[Token], AExp] =
- (F ~ T_OP("*") ~ T) ==> { case ((x, y), z) => Aop("*", x, z): AExp } || F
-lazy val F: Parser[List[Token], AExp] =
- (T_LPAREN ~> AExp <~ T_RPAREN) ||
- IdParser ==> Var ||
- NumParser ==> Num
-
-// boolean expressions
-lazy val BExp: Parser[List[Token], BExp] =
- (T_KWD("true") ==> ((_) => True: BExp)) ||
- (T_KWD("false") ==> ((_) => False: BExp)) ||
- (T_LPAREN ~> BExp <~ T_RPAREN) ||
- (AExp ~ T_OP("=") ~ AExp) ==> { case ((x, y), z) => Relop("=", x, z): BExp } ||
- (AExp ~ T_OP("!=") ~ AExp) ==> { case ((x, y), z) => Relop("!=", x, z): BExp } ||
- (AExp ~ T_OP("<") ~ AExp) ==> { case ((x, y), z) => Relop("<", x, z): BExp } ||
- (AExp ~ T_OP(">") ~ AExp) ==> { case ((x, y), z) => Relop("<", z, x): BExp }
-
-lazy val Stmt: Parser[List[Token], Stmt] =
- (T_KWD("skip") ==> ((_) => Skip: Stmt)) ||
- (IdParser ~ T_OP(":=") ~ AExp) ==> { case ((x, y), z) => Assign(x, z): Stmt } ||
- (T_KWD("if") ~ BExp ~ T_KWD("then") ~ Block ~ T_KWD("else") ~ Block) ==>
- { case (((((x,y),z),u),v),w) => If(y, u, w): Stmt } ||
- (T_KWD("while") ~ BExp ~ T_KWD("do") ~ Block) ==> { case (((x, y), z), w) => While(y, w) } ||
- (T_KWD("write") ~ IdParser) ==> { case (x, y) => Write(y) }
-
-lazy val Stmts: Parser[List[Token], Block] =
- (Stmt ~ T_SEMI ~ Stmts) ==> { case ((x, y), z) => x :: z : Block } ||
- (Stmt ==> ((s) => List(s) : Block))
-
-lazy val Block: Parser[List[Token], Block] =
- (T_BEGIN ~> Stmts <~ T_END) ||
- (Stmt ==> ((s) => List(s)))
-
-// compiler
-val beginning = """
-.class public XXX.XXX
-.super java/lang/Object
-
-.method public <init>()V
- aload_0
- invokenonvirtual java/lang/Object/<init>()V
- return
-.end method
-
-.method public static write(I)V
- .limit locals 5
- .limit stack 5
- iload 0
- getstatic java/lang/System/out Ljava/io/PrintStream;
- swap
- invokevirtual java/io/PrintStream/println(I)V
- return
-.end method
-
-
-.method public static main([Ljava/lang/String;)V
- .limit locals 200
- .limit stack 200
-
-"""
-
-val ending = """
-
- return
-
-.end method
-"""
-
-// for generating new labels
-var counter = -1
-
-def Fresh(x: String) = {
- counter += 1
- x ++ "_" ++ counter.toString()
-}
-
-type Env = Map[String, String]
-type Instrs = List[String]
-
-def compile_aexp(a: AExp, env : Env) : Instrs = a match {
- case Num(i) => List("ldc " + i.toString + "\n")
- case Var(s) => List("iload " + env(s) + "\n")
- case Aop("+", a1, a2) => compile_aexp(a1, env) ++ compile_aexp(a2, env) ++ List("iadd\n")
- case Aop("-", a1, a2) => compile_aexp(a1, env) ++ compile_aexp(a2, env) ++ List("isub\n")
- case Aop("*", a1, a2) => compile_aexp(a1, env) ++ compile_aexp(a2, env) ++ List("imul\n")
-}
-
-def compile_bexp(b: BExp, env : Env, jmp: String) : Instrs = b match {
- case True => Nil
- case False => List("goto " + jmp + "\n")
- case Relop("=", a1, a2) =>
- compile_aexp(a1, env) ++ compile_aexp(a2, env) ++ List("if_icmpne " + jmp + "\n")
- case Relop("!=", a1, a2) =>
- compile_aexp(a1, env) ++ compile_aexp(a2, env) ++ List("if_icmpeq " + jmp + "\n")
- case Relop("<", a1, a2) =>
- compile_aexp(a1, env) ++ compile_aexp(a2, env) ++ List("if_icmpge " + jmp + "\n")
-}
-
-
-def compile_stmt(s: Stmt, env: Env) : (Instrs, Env) = s match {
- case Skip => (Nil, env)
- case Assign(x, a) => {
- val index = if (env.isDefinedAt(x)) env(x) else env.keys.size.toString
- (compile_aexp(a, env) ++
- List("istore " + index + "\n"), env + (x -> index))
- }
- case If(b, bl1, bl2) => {
- val if_else = Fresh("If_else")
- val if_end = Fresh("If_end")
- val (instrs1, env1) = compile_bl(bl1, env)
- val (instrs2, env2) = compile_bl(bl2, env1)
- (compile_bexp(b, env, if_else) ++
- instrs1 ++
- List("goto " + if_end + "\n") ++
- List("\n" + if_else + ":\n\n") ++
- instrs2 ++
- List("\n" + if_end + ":\n\n"), env2)
- }
- case While(b, bl) => {
- val loop_begin = Fresh("Loop_begin")
- val loop_end = Fresh("Loop_end")
- val (instrs1, env1) = compile_bl(bl, env)
- (List("\n" + loop_begin + ":\n\n") ++
- compile_bexp(b, env, loop_end) ++
- instrs1 ++
- List("goto " + loop_begin + "\n") ++
- List("\n" + loop_end + ":\n\n"), env1)
- }
- case Write(x) =>
- (List("iload " + env(x) + "\n" + "invokestatic XXX/XXX/write(I)V\n"), env)
-}
-
-def compile_bl(bl: Block, env: Env) : (Instrs, Env) = bl match {
- case Nil => (Nil, env)
- case s::bl => {
- val (instrs1, env1) = compile_stmt(s, env)
- val (instrs2, env2) = compile_bl(bl, env1)
- (instrs1 ++ instrs2, env2)
- }
-}
-
-def compile(input: String) : String = {
- val class_name = input.split('.')(0)
- val tks = Tok.fromFile(input)
- val ast = Stmts.parse_single(tks)
- val instructions = compile_bl(ast, Map.empty)._1
- (beginning ++ instructions.mkString ++ ending).replaceAllLiterally("XXX", class_name)
-}
-
-
-def compile_to(input: String, output: String) = {
- val fw = new java.io.FileWriter(output)
- fw.write(compile(input))
- fw.close()
-}
-
-//
-val tks = Tok.fromString("x := x + 1")
-val ast = Stmt.parse_single(tks)
-println(compile_stmt(ast, Map("x" -> "n"))._1.mkString)
-
-
-
-//examples
-
-compile_to("loops.while", "loops.j")
-//compile_to("fib.while", "fib.j")
-
-
-// testing cases for time measurements
-/*
-def time_needed[T](i: Int, code: => T) = {
- val start = System.nanoTime()
- for (j <- 1 to i) code
- val end = System.nanoTime()
- (end - start)/(i * 1.0e9)
-}
-
-// for testing
-import scala.sys.process._
-
-val test_prog = """
-start := XXX;
-x := start;
-y := start;
-z := start;
-while 0 < x do {
- while 0 < y do {
- while 0 < z do {
- z := z - 1
- };
- z := start;
- y := y - 1
- };
- y := start;
- x := x - 1
-};
-write x;
-write y;
-write z
-"""
-
-
-def compile_test(n: Int) : Unit = {
- val class_name = "LOOP"
- val tks = Tok.fromString(test_prog.replaceAllLiterally("XXX", n.toString))
- val ast = Stmts.parse_single(tks)
- val instructions = compile_bl(ast, Map.empty)._1
- val assembly = (beginning ++ instructions.mkString ++ ending).replaceAllLiterally("XXX", class_name)
- val fw = new java.io.FileWriter(class_name + ".j")
- fw.write(assembly)
- fw.close()
- val test = ("java -jar jvm/jasmin-2.4/jasmin.jar " + class_name + ".j").!!
- println(n + " " + time_needed(2, ("java " + class_name + "/" + class_name).!!))
-}
-
-List(1, 5000, 10000, 50000, 100000, 250000, 500000, 750000, 1000000).map(compile_test(_))
-
-
-
-// javabyte code assmbler
-//
-// java -jar jvm/jasmin-2.4/jasmin.jar loops.j
-
-*/
-
-
-
-
-