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// A Small Compiler for the WHILE Language
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// (stub for including arrays)
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// the abstract syntax trees
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abstract class Stmt
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abstract class AExp
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abstract class BExp
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type Block = List[Stmt]
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// statements
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case object Skip extends Stmt
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case class If(a: BExp, bl1: Block, bl2: Block) extends Stmt
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case class While(b: BExp, bl: Block) extends Stmt
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case class Assign(s: String, a: AExp) extends Stmt
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case class AssignA(s: String, a1: AExp, a2: AExp) extends Stmt
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case class Write(s: String) extends Stmt // writes out a variable
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case class Array(s: String, n: Int) extends Stmt
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// arithmetic expressions
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case class Var(s: String) extends AExp
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case class Num(i: Int) extends AExp
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case class Aop(o: String, a1: AExp, a2: AExp) extends AExp
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case class Ref(s: String, a1: AExp) extends AExp
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// boolean expressions
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case object True extends BExp
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case object False extends BExp
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case class Bop(o: String, a1: AExp, a2: AExp) extends BExp
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// compiler headers needed for the JVM
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// (contains an init method, as well as methods for read and write)
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val beginning = """
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.class public XXX.XXX
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.super java/lang/Object
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.method public <init>()V
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aload_0
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invokenonvirtual java/lang/Object/<init>()V
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return
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.end method
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.method public static write(I)V
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.limit locals 1
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.limit stack 2
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getstatic java/lang/System/out Ljava/io/PrintStream;
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iload 0
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i2c
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invokevirtual java/io/PrintStream/print(C)V
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return
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.end method
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.method public static main([Ljava/lang/String;)V
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.limit locals 200
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.limit stack 200
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"""
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val ending = """
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return
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.end method
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"""
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println("Start compilation")
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// for generating new labels
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var counter = -1
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def Fresh(x: String) = {
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counter += 1
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x ++ "_" ++ counter.toString()
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}
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// environments and instructions
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type Env = Map[String, String]
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type Instrs = List[String]
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// arithmetic expression compilation
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def compile_aexp(a: AExp, env : Env) : Instrs = a match {
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case Num(i) => List("ldc " + i.toString + "\n")
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case Var(s) => List("iload " + env(s) + "\n")
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case Aop("+", a1, a2) =>
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compile_aexp(a1, env) ++
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compile_aexp(a2, env) ++ List("iadd\n")
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case Aop("-", a1, a2) =>
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compile_aexp(a1, env) ++ compile_aexp(a2, env) ++ List("isub\n")
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case Aop("*", a1, a2) =>
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compile_aexp(a1, env) ++ compile_aexp(a2, env) ++ List("imul\n")
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case Ref(s, a1) =>
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List("aload " + env(s) + "\n") ++ compile_aexp(a1, env) ++ List("iaload \n")
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}
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// boolean expression compilation
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def compile_bexp(b: BExp, env : Env, jmp: String) : Instrs = b match {
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case True => Nil
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case False => List("goto " + jmp + "\n")
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case Bop("=", a1, a2) =>
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compile_aexp(a1, env) ++ compile_aexp(a2, env) ++
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List("if_icmpne " + jmp + "\n")
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case Bop("!=", a1, a2) =>
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compile_aexp(a1, env) ++ compile_aexp(a2, env) ++
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List("if_icmpeq " + jmp + "\n")
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case Bop("<", a1, a2) =>
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compile_aexp(a1, env) ++ compile_aexp(a2, env) ++
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List("if_icmpge " + jmp + "\n")
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}
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// statement compilation
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def compile_stmt(s: Stmt, env: Env) : (Instrs, Env) = s match {
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case Skip => (Nil, env)
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case Assign(x, a) => {
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val index = if (env.isDefinedAt(x)) env(x) else
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env.keys.size.toString
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(compile_aexp(a, env) ++
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List("istore " + index + "\n"), env + (x -> index))
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}
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case If(b, bl1, bl2) => {
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val if_else = Fresh("If_else")
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val if_end = Fresh("If_end")
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val (instrs1, env1) = compile_block(bl1, env)
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val (instrs2, env2) = compile_block(bl2, env1)
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(compile_bexp(b, env, if_else) ++
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instrs1 ++
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List("goto " + if_end + "\n") ++
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List("\n" + if_else + ":\n\n") ++
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instrs2 ++
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List("\n" + if_end + ":\n\n"), env2)
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}
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case While(b, bl) => {
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val loop_begin = Fresh("Loop_begin")
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val loop_end = Fresh("Loop_end")
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val (instrs1, env1) = compile_block(bl, env)
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(List("\n" + loop_begin + ":\n\n") ++
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compile_bexp(b, env, loop_end) ++
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instrs1 ++
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List("goto " + loop_begin + "\n") ++
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List("\n" + loop_end + ":\n\n"), env1)
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}
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case Write(x) =>
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(List("iload " + env(x) + "\n" +
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"invokestatic XXX/XXX/write(I)V\n"), env)
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case Array(s, n) => {
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val index = if (env.isDefinedAt(s)) throw new Exception("Array already defined") else
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env.keys.size.toString
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(List("ldc " ++ n.toString ++ "\n",
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"newarray int \n",
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"astore " ++ index ++ "\n"), env + (s -> index))
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}
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case AssignA(s, a1, a2) => {
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val index = if (env.isDefinedAt(s)) env(s) else
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throw new Exception("Array not yet defined")
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(List("aload " + index + "\n") ++
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compile_aexp(a1, env) ++
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compile_aexp(a2, env) ++
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List("iastore \n"), env)
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}
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}
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// compilation of a block (i.e. list of instructions)
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def compile_block(bl: Block, env: Env) : (Instrs, Env) = bl match {
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case Nil => (Nil, env)
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case s::bl => {
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val (instrs1, env1) = compile_stmt(s, env)
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val (instrs2, env2) = compile_block(bl, env1)
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(instrs1 ++ instrs2, env2)
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}
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}
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// main compilation function for blocks
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def compile(bl: Block, class_name: String) : String = {
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val instructions = compile_block(bl, Map.empty)._1
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(beginning ++ instructions.mkString ++ ending).replaceAllLiterally("XXX", class_name)
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}
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// compiling and running files
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//
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// JVM files can be assembled with
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//
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// java -jar jvm/jasmin-2.4/jasmin.jar fib.j
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//
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// and started with
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//
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// java fib/fib
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import scala.util._
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import scala.sys.process._
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import scala.io
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def compile_tofile(bl: Block, class_name: String) = {
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val output = compile(bl, class_name)
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val fw = new java.io.FileWriter(class_name + ".j")
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fw.write(output)
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fw.close()
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}
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def compile_all(bl: Block, class_name: String) : Unit = {
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compile_tofile(bl, class_name)
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println("compiled ")
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val test = ("java -jar jvm/jasmin-2.4/jasmin.jar " + class_name + ".j").!!
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println("assembled ")
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}
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def time_needed[T](i: Int, code: => T) = {
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val start = System.nanoTime()
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for (j <- 1 to i) code
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val end = System.nanoTime()
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(end - start)/(i * 1.0e9)
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}
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def compile_run(bl: Block, class_name: String) : Unit = {
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println("Start compilation")
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compile_all(bl, class_name)
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println("Time: " + time_needed(1, ("java " + class_name + "/" + class_name).!))
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}
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// Fibonacci numbers as a test-case
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val fib_test =
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List(Assign("n", Num(10)), // n := 10;
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Assign("minus1",Num(0)), // minus1 := 0;
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Assign("minus2",Num(1)), // minus2 := 1;
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Assign("temp",Num(0)), // temp := 0;
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While(Bop("<",Num(0),Var("n")), // while n > 0 do {
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List(Assign("temp",Var("minus2")), // temp := minus2;
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Assign("minus2",Aop("+",Var("minus1"),Var("minus2"))),
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// minus2 := minus1 + minus2;
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Assign("minus1",Var("temp")), // minus1 := temp;
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Assign("n",Aop("-",Var("n"),Num(1))))), // n := n - 1 };
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Write("minus1")) // write minus1
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compile_run(fib_test, "fib")
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val arr_test =
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List(Array("a", 10), // a[10]
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Array("b", 2), // b[2]
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AssignA("a", Num(0), Num(10)), // a[0] := 10
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Assign("x", Ref("a", Num(0))), // x := a[0]
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Write("x"), // write x
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AssignA("b", Num(1), Num(5)), // b[1] := 5
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Assign("x", Ref("b", Num(1))), // x := b[1]
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Write("x")) // write x
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compile_run(arr_test, "a")
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//====================
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// Parser Combinators
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//====================
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import scala.language.implicitConversions
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import scala.language.reflectiveCalls
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abstract class Parser[I <% Seq[_], T] {
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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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}
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class SeqParser[I <% Seq[_], T, S](p: => Parser[I, T], q: => Parser[I, S]) 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 ((head1, head2), tail2)
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}
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class AltParser[I <% Seq[_], T](p: => Parser[I, T], q: => Parser[I, T]) 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 <% Seq[_], T, S](p: => Parser[I, T], f: T => S) 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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import scala.util.matching.Regex
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case class RegexParser(reg: Regex) extends Parser[String, String] {
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def parse(sb: String) = reg.findPrefixMatchOf(sb) match {
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case None => Set()
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case Some(m) => Set((m.matched, m.after.toString))
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}
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}
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def StringParser(s: String) = RegexParser(Regex.quote(s).r)
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implicit def string2parser(s : String) = StringParser(s)
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implicit def ParserOps[I<% Seq[_], T](p: Parser[I, T]) = 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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implicit def StringOps(s: String) = new {
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def | (q : => Parser[String, String]) = new AltParser[String, String](s, q)
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def | (r: String) = new AltParser[String, String](s, r)
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def ==>[S] (f: => String => S) = new FunParser[String, String, S](s, f)
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def ~[S](q : => Parser[String, S]) =
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new SeqParser[String, String, S](s, q)
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def ~ (r: String) =
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new SeqParser[String, String, String](s, r)
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}
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val NumParser = RegexParser("[0-9]+".r) ==> (s => s.toInt : Int)
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val IdParser = RegexParser("[a-z][a-z,0-9]*".r)
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// Grammar Rules
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lazy val AExp: Parser[String, AExp] =
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(Te ~ "+" ~ AExp) ==> { case ((x, _), z) => Aop("+", x, z):AExp } |
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(Te ~ "-" ~ AExp) ==> { case ((x, _), z) => Aop("-", x, z):AExp } | Te
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lazy val Te: Parser[String, AExp] =
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(Fa ~ "*" ~ Te) ==> { case ((x, _), z) => Aop("*", x, z):AExp } | Fa
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lazy val Fa: Parser[String, AExp] =
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("(" ~ AExp ~ ")") ==> { case ((_, y), _) => y } |
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(IdParser ~ "[" ~ AExp ~ "]") ==> { case (((x, _), y), _) => Ref(x, y) } |
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IdParser ==> Var |
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NumParser ==> Num
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// boolean expressions
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lazy val BExp: Parser[String, BExp] =
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(AExp ~ "=" ~ AExp) ==> { case ((x, y), z) => Bop("=", x, z):BExp } |
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(AExp ~ "!=" ~ AExp) ==> { case ((x, y), z) => Bop("!=", x, z):BExp } |
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(AExp ~ "<" ~ AExp) ==> { case ((x, y), z) => Bop("<", x, z):BExp } |
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(AExp ~ ">" ~ AExp) ==> { case ((x, y), z) => Bop("<", z, x):BExp } |
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("true" ==> ((_) => True:BExp )) |
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("false" ==> ((_) => False:BExp )) |
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("(" ~ BExp ~ ")") ==> { case ((x, y), z) => y}
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lazy val Stmt: Parser[String, Stmt] =
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("skip" ==> (_ => Skip: Stmt)) |
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(IdParser ~ ":=" ~ AExp) ==> { case ((x, y), z) => Assign(x, z): Stmt } |
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(IdParser ~ "[" ~ AExp ~ "]" ~ ":=" ~ AExp) ==> {
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case (((((x, y), z), v), w), u) => AssignA(x, z, u): Stmt } |
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("if" ~ BExp ~ "then" ~ Block ~ "else" ~ Block) ==>
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{ case (((((x,y),z),u),v),w) => If(y, u, w): Stmt } |
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("while" ~ BExp ~ "do" ~ Block) ==> { case (((x, y), z), w) => While(y, w) } |
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("new" ~ IdParser ~ "[" ~ NumParser ~ "]") ==> { case ((((x, y), z), u), v) => Array(y, u) } |
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("write" ~ IdParser) ==> { case (_, y) => Write(y) }
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lazy val Stmts: Parser[String, Block] =
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(Stmt ~ ";" ~ Stmts) ==> { case ((x, y), z) => x :: z : Block } |
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(Stmt ==> ((s) => List(s) : Block))
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lazy val Block: Parser[String, Block] =
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("{" ~ Stmts ~ "}") ==> { case ((x, y), z) => y} |
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(Stmt ==> (s => List(s)))
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Stmts.parse_all("x2:=5+a")
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365 |
Stmts.parse_all("x2:=5+a[3+a]")
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|
366 |
Stmts.parse_all("a[x2+3]:=5+a[3+a]")
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|
367 |
Block.parse_all("{x:=5;y:=8}")
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|
368 |
Block.parse_all("if(false)then{x:=5}else{x:=10}")
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|
369 |
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|
370 |
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|
371 |
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|
372 |
val fib = """
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|
373 |
n := 10;
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|
374 |
minus1 := 0;
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|
375 |
minus2 := 1;
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|
376 |
temp:=0;
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|
377 |
while (n > 0) do {
|
|
378 |
temp := minus2;
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|
379 |
minus2 := minus1 + minus2;
|
|
380 |
minus1 := temp;
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|
381 |
n := n - 1};
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|
382 |
result := minus2;
|
|
383 |
write result
|
|
384 |
""".replaceAll("\\s+", "")
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|
385 |
|
|
386 |
val fib_prog = Stmts.parse_all(fib).toList
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|
387 |
//compile_run(fib_prog.head, "fib")
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|
388 |
|
|
389 |
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|
390 |
// BF
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|
391 |
|
|
392 |
// simple instructions
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|
393 |
def instr(c: Char) : String = c match {
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|
394 |
case '>' => "ptr := ptr + 1;"
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|
395 |
case '<' => "ptr := ptr - 1;"
|
|
396 |
case '+' => "field[ptr] := field[ptr] + 1;"
|
|
397 |
case '-' => "field[ptr] := field[ptr] - 1;"
|
|
398 |
case '.' => "x := field[ptr]; write x;"
|
|
399 |
//case ',' => "XXX" // "ptr = getchar();\n"
|
|
400 |
case '[' => "while (field[ptr] != 0) do {"
|
|
401 |
case ']' => "skip};"
|
|
402 |
case _ => ""
|
|
403 |
}
|
|
404 |
|
|
405 |
def instrs(prog: String) : String =
|
|
406 |
prog.toList.map(instr).mkString
|
|
407 |
|
|
408 |
|
|
409 |
def splice(cs: List[Char], acc: List[(Char, Int)]) : List[(Char, Int)] = (cs, acc) match {
|
|
410 |
case (Nil, acc) => acc
|
|
411 |
case (c :: cs, Nil) => splice(cs, List((c, 1)))
|
|
412 |
case (c :: cs, (d, n) :: acc) =>
|
|
413 |
if (c == d) splice(cs, (c, n + 1) :: acc)
|
|
414 |
else splice(cs, (c, 1) :: (d, n) :: acc)
|
|
415 |
}
|
|
416 |
|
|
417 |
def spl(s: String) = splice(s.toList, Nil).reverse
|
|
418 |
|
|
419 |
def instr2(c: Char, n: Int) : String = c match {
|
|
420 |
case '>' => "ptr := ptr + " + n.toString + ";"
|
|
421 |
case '<' => "ptr := ptr - " + n.toString + ";"
|
|
422 |
case '+' => "field[ptr] := field[ptr] + " + n.toString + ";"
|
|
423 |
case '-' => "field[ptr] := field[ptr] - " + n.toString + ";"
|
|
424 |
case '.' => "x := field[ptr]; write x;" //* n
|
|
425 |
//case ',' => "*ptr = getchar();\n" * n
|
|
426 |
case '[' => "while (field[ptr] != 0) do {" * n
|
|
427 |
case ']' => "skip};" * n
|
|
428 |
case _ => ""
|
|
429 |
}
|
|
430 |
|
|
431 |
def instrs2(prog: String) : String =
|
|
432 |
spl(prog).map{ case (c, n) => instr2(c, n) }.mkString
|
|
433 |
|
|
434 |
|
|
435 |
def bf_str(prog: String) : String = {
|
|
436 |
"\n" ++
|
|
437 |
//"new field[30000];\n" ++
|
|
438 |
"ptr := 15000;" ++
|
|
439 |
instrs2(prog) ++
|
|
440 |
"skip"
|
|
441 |
}
|
|
442 |
|
|
443 |
def bf_run(prog: String, name: String) = {
|
|
444 |
println("BF processing start")
|
|
445 |
val bf_string = bf_str(prog).replaceAll("\\s", "")
|
|
446 |
println(s"BF parsing start (string length ${bf_string.length})")
|
|
447 |
val bf_prog = Stmts.parse_all(bf_string).toList.head
|
|
448 |
println("BF Compile start")
|
|
449 |
compile_run(Array("field", 30000) :: bf_prog, name)
|
|
450 |
}
|
|
451 |
|
|
452 |
|
|
453 |
|
|
454 |
val bf1 = """++++++++[>+>++++<<-]>++>>+<[-[>>+<<-]+>>]>+[-<<<[
|
|
455 |
->[+[-]+>++>>>-<<]<[<]>>++++++[<<+++++>>-]+<<++.[-]<<
|
|
456 |
]>.>+[>>]>+]"""
|
|
457 |
|
|
458 |
bf_run(bf1, "sier")
|
|
459 |
|
|
460 |
bf_run("""++++++++[>++++[>++>+++>+++>+<<<<-]>+>+>->>+[<]<-]>>.>---.+++++++
|
|
461 |
..+++.>>.<-.<.+++.------.--------.>>+.>++.""", "hello")
|
|
462 |
|
|
463 |
bf_run("""+++++++++++
|
|
464 |
>+>>>>++++++++++++++++++++++++++++++++++++++++++++
|
|
465 |
>++++++++++++++++++++++++++++++++<<<<<<[>[>>>>>>+>
|
|
466 |
+<<<<<<<-]>>>>>>>[<<<<<<<+>>>>>>>-]<[>++++++++++[-
|
|
467 |
<-[>>+>+<<<-]>>>[<<<+>>>-]+<[>[-]<[-]]>[<<[>>>+<<<
|
|
468 |
-]>>[-]]<<]>>>[>>+>+<<<-]>>>[<<<+>>>-]+<[>[-]<[-]]
|
|
469 |
>[<<+>>[-]]<<<<<<<]>>>>>[+++++++++++++++++++++++++
|
|
470 |
+++++++++++++++++++++++.[-]]++++++++++<[->-<]>++++
|
|
471 |
++++++++++++++++++++++++++++++++++++++++++++.[-]<<
|
|
472 |
<<<<<<<<<<[>>>+>+<<<<-]>>>>[<<<<+>>>>-]<-[>>.>.<<<
|
|
473 |
[-]]<<[>>+>+<<<-]>>>[<<<+>>>-]<<[<+>-]>[<+>-]<<<-]""", "fibs")
|