--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/progs/compile_arr_krakatau.scala Thu Nov 21 00:49:21 2019 +0000
@@ -0,0 +1,674 @@
+// A Small Compiler for the WHILE Language
+// - includes arrays and a small parser for
+// translated BF programs
+
+// the abstract syntax trees
+abstract class Stmt
+abstract class AExp
+abstract class BExp
+type Block = List[Stmt]
+
+// statements
+case object Skip extends Stmt
+case class Array(s: String, n: Int) 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 AssignA(s: String, a1: AExp, a2: AExp) extends Stmt
+case class Write(s: String) extends Stmt
+case class Read(s: String) extends Stmt
+
+// arithmetic expressions
+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 class Ref(s: String, a: AExp) extends AExp
+
+// boolean expressions
+case object True extends BExp
+case object False extends BExp
+case class Bop(o: String, a1: AExp, a2: AExp) extends BExp
+
+
+// compiler headers needed for the JVM
+// (contains an init method, as well as methods for read and write)
+val beginning = """
+.class public XXX
+.super java/lang/Object
+
+.method public static write : (I)V
+ .limit locals 1
+ .limit stack 2
+ getstatic java/lang/System/out Ljava/io/PrintStream;
+ iload 0
+ i2c ; Int => Char
+ invokevirtual java/io/PrintStream print (C)V
+ return
+.end method
+
+.method public static read : ()I
+ .limit locals 10
+ .limit stack 10
+
+ ldc 0
+ istore 1 ; this will hold our final integer
+Label1:
+ getstatic java/lang/System/in Ljava/io/InputStream;
+ invokevirtual java/io/InputStream read ()I
+ istore 2
+ iload 2
+ ldc 10 ; the newline delimiter
+ isub
+ ifeq Label2
+ iload 2
+ ldc 32 ; the space delimiter
+ isub
+ ifeq Label2
+
+ iload 2
+ ldc 48 ; we have our digit in ASCII, have to subtract it from 48
+ isub
+ ldc 10
+ iload 1
+ imul
+ iadd
+ istore 1
+ goto Label1
+Label2:
+ ;when we come here we have our integer computed in local variable 1
+ iload 1
+ ireturn
+.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()
+}
+
+// environments and instructions
+type Env = Map[String, Int]
+
+// convenient string interpolations
+// for instructions and labels
+import scala.language.implicitConversions
+import scala.language.reflectiveCalls
+
+implicit def sring_inters(sc: StringContext) = new {
+ def i(args: Any*): String = " " ++ sc.s(args:_*) ++ "\n"
+ def l(args: Any*): String = sc.s(args:_*) ++ ":\n"
+}
+
+def compile_op(op: String) = op match {
+ case "+" => i"iadd"
+ case "-" => i"isub"
+ case "*" => i"imul"
+}
+
+// arithmetic expression compilation
+def compile_aexp(a: AExp, env : Env) : String = a match {
+ case Num(i) => i"ldc $i"
+ case Var(s) => i"iload ${env(s)} \t\t; $s"
+ case Aop(op, a1, a2) =>
+ compile_aexp(a1, env) ++ compile_aexp(a2, env) ++ compile_op(op)
+ case Ref(s, a) =>
+ i"aload ${env(s)}" ++ compile_aexp(a, env) ++ i"iaload"
+}
+
+// boolean expression compilation
+def compile_bexp(b: BExp, env : Env, jmp: String) : String = b match {
+ case True => ""
+ case False => i"goto $jmp"
+ case Bop("==", a1, a2) =>
+ compile_aexp(a1, env) ++ compile_aexp(a2, env) ++ i"if_icmpne $jmp"
+ case Bop("!=", a1, a2) =>
+ compile_aexp(a1, env) ++ compile_aexp(a2, env) ++ i"if_icmpeq $jmp"
+ case Bop("<", a1, a2) =>
+ compile_aexp(a1, env) ++ compile_aexp(a2, env) ++ i"if_icmpge $jmp"
+}
+
+// statement compilation
+def compile_stmt(s: Stmt, env: Env) : (String, Env) = s match {
+ case Skip => ("", env)
+ case Assign(x, a) => {
+ val index = env.getOrElse(x, env.keys.size)
+ (compile_aexp(a, env) ++ i"istore $index \t\t; $x", env + (x -> index))
+ }
+ case If(b, bl1, bl2) => {
+ val if_else = Fresh("If_else")
+ val if_end = Fresh("If_end")
+ val (instrs1, env1) = compile_block(bl1, env)
+ val (instrs2, env2) = compile_block(bl2, env1)
+ (compile_bexp(b, env, if_else) ++
+ instrs1 ++
+ i"goto $if_end" ++
+ l"$if_else" ++
+ instrs2 ++
+ l"$if_end", env2)
+ }
+ case While(b, bl) => {
+ val loop_begin = Fresh("Loop_begin")
+ val loop_end = Fresh("Loop_end")
+ val (instrs1, env1) = compile_block(bl, env)
+ (l"$loop_begin" ++
+ compile_bexp(b, env, loop_end) ++
+ instrs1 ++
+ i"goto $loop_begin" ++
+ l"$loop_end", env1)
+ }
+ case Write(x) =>
+ (i"iload ${env(x)} \t\t; $x" ++
+ i"invokestatic XXX write (I)V", env)
+ case Read(x) => {
+ val index = env.getOrElse(x, env.keys.size)
+ (i"invokestatic XXX read ()I" ++
+ i"istore $index \t\t; $x", env + (x -> index))
+ }
+ case Array(s: String, n: Int) => {
+ val index = if (env.isDefinedAt(s)) throw new Exception("array def error") else
+ env.keys.size
+ (i"ldc $n" ++
+ i"newarray int" ++
+ i"astore $index", env + (s -> index))
+ }
+ case AssignA(s, a1, a2) => {
+ val index = if (env.isDefinedAt(s)) env(s) else
+ throw new Exception("array not defined")
+ (i"aload ${env(s)}" ++
+ compile_aexp(a1, env) ++
+ compile_aexp(a2, env) ++
+ i"iastore", env)
+ }
+}
+
+// compilation of a block (i.e. list of instructions)
+def compile_block(bl: Block, env: Env) : (String, Env) = bl match {
+ case Nil => ("", env)
+ case s::bl => {
+ val (instrs1, env1) = compile_stmt(s, env)
+ val (instrs2, env2) = compile_block(bl, env1)
+ (instrs1 ++ instrs2, env2)
+ }
+}
+
+
+// main compilation function for blocks
+def compile(bl: Block, class_name: String) : String = {
+ val instructions = compile_block(bl, Map.empty)._1
+ (beginning ++ instructions.mkString ++ ending).replaceAllLiterally("XXX", class_name)
+}
+
+
+// Fibonacci numbers as a test-case
+val fib_test =
+ List(Read("n"), // read n;
+ Assign("minus1",Num(0)), // minus1 := 0;
+ Assign("minus2",Num(1)), // minus2 := 1;
+ Assign("temp",Num(0)), // temp := 0;
+ While(Bop("<",Num(0),Var("n")), // while n > 0 do {
+ List(Assign("temp",Var("minus2")), // temp := minus2;
+ Assign("minus2",Aop("+",Var("minus1"),Var("minus2"))),
+ // minus2 := minus1 + minus2;
+ Assign("minus1",Var("temp")), // minus1 := temp;
+ Assign("n",Aop("-",Var("n"),Num(1))))), // n := n - 1 };
+ Write("minus1")) // write minus1
+
+// prints out the JVM-assembly program
+
+// println(compile(fib_test, "fib"))
+
+// can be assembled with
+//
+// java -jar jvm/jasmin-2.4/jasmin.jar fib.j
+//
+// and started with
+//
+// java fib/fib
+
+import scala.util._
+import scala.sys.process._
+import scala.io
+
+def compile_tofile(bl: Block, class_name: String) = {
+ val output = compile(bl, class_name)
+ val fw = new java.io.FileWriter(class_name + ".j")
+ fw.write(output)
+ fw.close()
+}
+
+def compile_all(bl: Block, class_name: String) : Unit = {
+ compile_tofile(bl, class_name)
+ println("compiled ")
+ val test = ("python Krakatau/assemble.py " + class_name + ".j").!!
+ println("assembled ")
+}
+
+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)
+}
+
+
+def compile_run(bl: Block, class_name: String) : Unit = {
+ println("Start compilation")
+ compile_all(bl, class_name)
+ println("Time: " + time_needed(1, ("java " + class_name).!))
+}
+
+
+
+val arr_test =
+ List(Array("a", 10),
+ Array("b", 2),
+ AssignA("a", Num(0), Num(10)),
+ Assign("x", Ref("a", Num(0))),
+ Write("x"),
+ AssignA("b", Num(1), Num(5)),
+ Assign("x", Ref("b", Num(1))),
+ Write("x"))
+
+
+//compile_run(arr_test, "a")
+
+//====================
+// Parser Combinators
+//====================
+
+import scala.language.implicitConversions
+import scala.language.reflectiveCalls
+
+type IsSeq[A] = A => Seq[_]
+
+abstract class Parser[I : IsSeq, 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
+}
+
+class SeqParser[I : IsSeq, 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 : IsSeq, 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 : IsSeq, 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)
+}
+
+
+import scala.util.matching.Regex
+case class RegexParser(reg: Regex) extends Parser[String, String] {
+ def parse(sb: String) = reg.findPrefixMatchOf(sb) match {
+ case None => Set()
+ case Some(m) => Set((m.matched, m.after.toString))
+ }
+}
+
+def StringParser(s: String) = RegexParser(Regex.quote(s).r)
+
+
+implicit def string2parser(s : String) = StringParser(s)
+
+implicit def ParserOps[I : IsSeq, T](p: Parser[I, T]) = new {
+ def | (q : => Parser[I, T]) = new AltParser[I, T](p, q)
+ def ==>[S] (f: => T => S) = new FunParser[I, T, S](p, f)
+ def ~[S] (q : => Parser[I, S]) = new SeqParser[I, T, S](p, q)
+}
+
+implicit def StringOps(s: String) = new {
+ def | (q : => Parser[String, String]) = new AltParser[String, String](s, q)
+ def | (r: String) = new AltParser[String, String](s, r)
+ def ==>[S] (f: => String => S) = new FunParser[String, String, S](s, f)
+ def ~[S](q : => Parser[String, S]) =
+ new SeqParser[String, String, S](s, q)
+ def ~ (r: String) =
+ new SeqParser[String, String, String](s, r)
+}
+
+
+val NumParser = RegexParser("[0-9]+".r) ==> (s => s.toInt : Int)
+val IdParser = RegexParser("[a-z][a-z,0-9]*".r)
+
+
+
+// Grammar Rules
+
+lazy val AExp: Parser[String, AExp] =
+ (Te ~ "+" ~ AExp) ==> { case ((x, _), z) => Aop("+", x, z):AExp } |
+ (Te ~ "-" ~ AExp) ==> { case ((x, _), z) => Aop("-", x, z):AExp } | Te
+lazy val Te: Parser[String, AExp] =
+ (Fa ~ "*" ~ Te) ==> { case ((x, _), z) => Aop("*", x, z):AExp } | Fa
+lazy val Fa: Parser[String, AExp] =
+ ("(" ~ AExp ~ ")") ==> { case ((_, y), _) => y } |
+ (IdParser ~ "[" ~ AExp ~ "]") ==> { case (((x, _), y), _) => Ref(x, y) } |
+ IdParser ==> Var |
+ NumParser ==> Num
+
+// boolean expressions
+lazy val BExp: Parser[String, BExp] =
+ (AExp ~ "=" ~ AExp) ==> { case ((x, y), z) => Bop("=", x, z):BExp } |
+ (AExp ~ "!=" ~ AExp) ==> { case ((x, y), z) => Bop("!=", x, z):BExp } |
+ (AExp ~ "<" ~ AExp) ==> { case ((x, y), z) => Bop("<", x, z):BExp } |
+ (AExp ~ ">" ~ AExp) ==> { case ((x, y), z) => Bop("<", z, x):BExp } |
+ ("true" ==> ((_) => True:BExp )) |
+ ("false" ==> ((_) => False:BExp )) |
+ ("(" ~ BExp ~ ")") ==> { case ((x, y), z) => y}
+
+lazy val Stmt: Parser[String, Stmt] =
+ ("skip" ==> (_ => Skip: Stmt)) |
+ (IdParser ~ ":=" ~ AExp) ==> { case ((x, y), z) => Assign(x, z): Stmt } |
+ (IdParser ~ "[" ~ AExp ~ "]" ~ ":=" ~ AExp) ==> {
+ case (((((x, y), z), v), w), u) => AssignA(x, z, u): Stmt } |
+ ("if" ~ BExp ~ "then" ~ Block ~ "else" ~ Block) ==>
+ { case (((((x,y),z),u),v),w) => If(y, u, w): Stmt } |
+ ("while" ~ BExp ~ "do" ~ Block) ==> { case (((x, y), z), w) => While(y, w) } |
+ ("new" ~ IdParser ~ "[" ~ NumParser ~ "]") ==> { case ((((x, y), z), u), v) => Array(y, u) } |
+ ("write" ~ IdParser) ==> { case (_, y) => Write(y) }
+
+lazy val Stmts: Parser[String, Block] =
+ (Stmt ~ ";" ~ Stmts) ==> { case ((x, y), z) => x :: z : Block } |
+ (Stmt ==> ((s) => List(s) : Block))
+
+
+lazy val Block: Parser[String, Block] =
+ ("{" ~ Stmts ~ "}") ==> { case ((x, y), z) => y} |
+ (Stmt ==> (s => List(s)))
+
+//Stmts.parse_all("x2:=5+a")
+//Stmts.parse_all("x2:=5+a[3+a]")
+//Stmts.parse_all("a[x2+3]:=5+a[3+a]")
+//Block.parse_all("{x:=5;y:=8}")
+//Block.parse_all("if(false)then{x:=5}else{x:=10}")
+
+
+
+val fib = """
+ n := 10;
+ minus1 := 0;
+ minus2 := 1;
+ temp:=0;
+ while (n > 0) do {
+ temp := minus2;
+ minus2 := minus1 + minus2;
+ minus1 := temp;
+ n := n - 1};
+ result := minus2;
+ write result
+ """.replaceAll("\\s+", "")
+
+val fib_prog = Stmts.parse_all(fib).toList
+//compile_run(fib_prog.head, "fib")
+
+
+// BF
+
+// simple instructions
+def instr(c: Char) : String = c match {
+ case '>' => "ptr := ptr + 1;"
+ case '<' => "ptr := ptr - 1;"
+ case '+' => "field[ptr] := field[ptr] + 1;"
+ case '-' => "field[ptr] := field[ptr] - 1;"
+ case '.' => "x := field[ptr]; write x;"
+ //case ',' => "XXX" // "ptr = getchar();\n"
+ case '[' => "while (field[ptr] != 0) do {"
+ case ']' => "skip};"
+ case _ => ""
+}
+
+def instrs(prog: String) : String =
+ prog.toList.map(instr).mkString
+
+
+def splice(cs: List[Char], acc: List[(Char, Int)]) : List[(Char, Int)] = (cs, acc) match {
+ case (Nil, acc) => acc
+ case (c :: cs, Nil) => splice(cs, List((c, 1)))
+ case (c :: cs, (d, n) :: acc) =>
+ if (c == d) splice(cs, (c, n + 1) :: acc)
+ else splice(cs, (c, 1) :: (d, n) :: acc)
+}
+
+def spl(s: String) = splice(s.toList, Nil).reverse
+
+def instr2(c: Char, n: Int) : String = c match {
+ case '>' => "ptr := ptr + " + n.toString + ";"
+ case '<' => "ptr := ptr - " + n.toString + ";"
+ case '0' => "field[ptr] := 0;"
+ case '+' => "field[ptr] := field[ptr] + " + n.toString + ";"
+ case '-' => "field[ptr] := field[ptr] - " + n.toString + ";"
+ case '.' => "x := field[ptr]; write x;" //* n
+ //case ',' => "*ptr = getchar();\n" * n
+ case '[' => "while (field[ptr] != 0) do {" * n
+ case ']' => "skip};" * n
+ case _ => ""
+}
+
+def instrs2(prog: String) : String =
+ spl(prog.replaceAll("""\[-\]""", "0")).map{ case (c, n) => instr2(c, n) }.mkString
+
+
+def bf_str(prog: String) : String = {
+ "\n" ++
+ //"new field[30000];\n" ++
+ "ptr := 15000;" ++
+ instrs2(prog) ++
+ "skip"
+}
+
+def bf_run(prog: String, name: String) = {
+ println("BF processing start")
+ val bf_string = bf_str(prog).replaceAll("\\s", "")
+
+ println(s"BF parsing start (string length ${bf_string.length})")
+ val bf_prog = Stmts.parse_all(bf_string).toList.head
+ println(s"BF Compile start ${bf_string.toList.length} characters")
+ compile_run(Array("field", 30000) :: bf_prog, name)
+}
+
+// a benchmark program (counts down from 'Z' to 'A')
+val bf0 = """>++[<+++++++++++++>-]<[[>+>+<<-]>[<+>-]++++++++
+ [>++++++++<-]>.[-]<<>++++++++++[>++++++++++[>++
+ ++++++++[>++++++++++[>++++++++++[>++++++++++[>+
+ +++++++++[-]<-]<-]<-]<-]<-]<-]<-]++++++++++."""
+
+bf_run(bf0, "bench")
+
+
+
+val bf1 = """++++++++[>+>++++<<-]>++>>+<[-[>>+<<-]+>>]>+[-<<<[
+ ->[+[-]+>++>>>-<<]<[<]>>++++++[<<+++++>>-]+<<++.[-]<<
+ ]>.>+[>>]>+]"""
+
+bf_run(bf1, "sier")
+
+bf_run("""++++++++[>++++[>++>+++>+++>+<<<<-]>+>+>->>+[<]<-]>>.>---.+++++++
+ ..+++.>>.<-.<.+++.------.--------.>>+.>++.""", "hello")
+
+
+val bf2 = """+++++++++++
+ >+>>>>++++++++++++++++++++++++++++++++++++++++++++
+ >++++++++++++++++++++++++++++++++<<<<<<[>[>>>>>>+>
+ +<<<<<<<-]>>>>>>>[<<<<<<<+>>>>>>>-]<[>++++++++++[-
+ <-[>>+>+<<<-]>>>[<<<+>>>-]+<[>[-]<[-]]>[<<[>>>+<<<
+ -]>>[-]]<<]>>>[>>+>+<<<-]>>>[<<<+>>>-]+<[>[-]<[-]]
+ >[<<+>>[-]]<<<<<<<]>>>>>[+++++++++++++++++++++++++
+ +++++++++++++++++++++++.[-]]++++++++++<[->-<]>++++
+ ++++++++++++++++++++++++++++++++++++++++++++.[-]<<
+ <<<<<<<<<<[>>>+>+<<<<-]>>>>[<<<<+>>>>-]<-[>>.>.<<<
+ [-]]<<[>>+>+<<<-]>>>[<<<+>>>-]<<[<+>-]>[<+>-]<<<-]"""
+
+bf_run(bf2, "fibs")
+
+
+
+bf_run(""" A mandelbrot set fractal viewer in brainf*** written by Erik Bosman
++++++++++++++[->++>>>+++++>++>+<<<<<<]>>>>>++++++>--->>>>>>>>>>+++++++++++++++[[
+>>>>>>>>>]+[<<<<<<<<<]>>>>>>>>>-]+[>>>>>>>>[-]>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>[-]+
+<<<<<<<+++++[-[->>>>>>>>>+<<<<<<<<<]>>>>>>>>>]>>>>>>>+>>>>>>>>>>>>>>>>>>>>>>>>>>
+>+<<<<<<<<<<<<<<<<<[<<<<<<<<<]>>>[-]+[>>>>>>[>>>>>>>[-]>>]<<<<<<<<<[<<<<<<<<<]>>
+>>>>>[-]+<<<<<<++++[-[->>>>>>>>>+<<<<<<<<<]>>>>>>>>>]>>>>>>+<<<<<<+++++++[-[->>>
+>>>>>>+<<<<<<<<<]>>>>>>>>>]>>>>>>+<<<<<<<<<<<<<<<<[<<<<<<<<<]>>>[[-]>>>>>>[>>>>>
+>>[-<<<<<<+>>>>>>]<<<<<<[->>>>>>+<<+<<<+<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>
+[>>>>>>>>[-<<<<<<<+>>>>>>>]<<<<<<<[->>>>>>>+<<+<<<+<<]>>>>>>>>]<<<<<<<<<[<<<<<<<
+<<]>>>>>>>[-<<<<<<<+>>>>>>>]<<<<<<<[->>>>>>>+<<+<<<<<]>>>>>>>>>+++++++++++++++[[
+>>>>>>>>>]+>[-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>-]+[
+>+>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>->>>>[-<<<<+>>>>]<<<<[->>>>+<<<<<[->>[
+-<<+>>]<<[->>+>>+<<<<]+>>>>>>>>>]<<<<<<<<[<<<<<<<<<]]>>>>>>>>>[>>>>>>>>>]<<<<<<<
+<<[>[->>>>>>>>>+<<<<<<<<<]<<<<<<<<<<]>[->>>>>>>>>+<<<<<<<<<]<+>>>>>>>>]<<<<<<<<<
+[>[-]<->>>>[-<<<<+>[<->-<<<<<<+>>>>>>]<[->+<]>>>>]<<<[->>>+<<<]<+<<<<<<<<<]>>>>>
+>>>>[>+>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>->>>>>[-<<<<<+>>>>>]<<<<<[->>>>>+
+<<<<<<[->>>[-<<<+>>>]<<<[->>>+>+<<<<]+>>>>>>>>>]<<<<<<<<[<<<<<<<<<]]>>>>>>>>>[>>
+>>>>>>>]<<<<<<<<<[>>[->>>>>>>>>+<<<<<<<<<]<<<<<<<<<<<]>>[->>>>>>>>>+<<<<<<<<<]<<
++>>>>>>>>]<<<<<<<<<[>[-]<->>>>[-<<<<+>[<->-<<<<<<+>>>>>>]<[->+<]>>>>]<<<[->>>+<<
+<]<+<<<<<<<<<]>>>>>>>>>[>>>>[-<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<+>>>>>>>>>>>>>
+>>>>>>>>>>>>>>>>>>>>>>>]>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>+++++++++++++++[[>>>>
+>>>>>]<<<<<<<<<-<<<<<<<<<[<<<<<<<<<]>>>>>>>>>-]+>>>>>>>>>>>>>>>>>>>>>+<<<[<<<<<<
+<<<]>>>>>>>>>[>>>[-<<<->>>]+<<<[->>>->[-<<<<+>>>>]<<<<[->>>>+<<<<<<<<<<<<<[<<<<<
+<<<<]>>>>[-]+>>>>>[>>>>>>>>>]>+<]]+>>>>[-<<<<->>>>]+<<<<[->>>>-<[-<<<+>>>]<<<[->
+>>+<<<<<<<<<<<<[<<<<<<<<<]>>>[-]+>>>>>>[>>>>>>>>>]>[-]+<]]+>[-<[>>>>>>>>>]<<<<<<
+<<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]<<<<<<<[->+>>>-<<<<]>>>>>>>>>+++++++++++++++++++
++++++++>>[-<<<<+>>>>]<<<<[->>>>+<<[-]<<]>>[<<<<<<<+<[-<+>>>>+<<[-]]>[-<<[->+>>>-
+<<<<]>>>]>>>>>>>>>>>>>[>>[-]>[-]>[-]>>>>>]<<<<<<<<<[<<<<<<<<<]>>>[-]>>>>>>[>>>>>
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