--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/progs/while-arrays/benchmark.bf	Mon Oct 26 10:27:01 2020 +0000
@@ -0,0 +1,4 @@
+>++[<+++++++++++++>-]<[[>+>+<<-]>[<+>-]++++++++
+[>++++++++<-]>.[-]<<>++++++++++[>++++++++++[>++
+++++++++[>++++++++++[>++++++++++[>++++++++++[>+
++++++++++[-]<-]<-]<-]<-]<-]<-]<-]++++++++++.
\ No newline at end of file

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/progs/while-arrays/compile_arrays.sc	Mon Oct 26 10:27:01 2020 +0000
@@ -0,0 +1,239 @@
+// A Small Compiler for the WHILE Language
+//
+// - this compiler contains support for "static" integer 
+//   arrays (they are mutable but cannot be re-sized)
+//
+// Call with 
+//
+// amm compile_arrays.sc
+  
+
+// the abstract syntax trees for WHILE
+
+abstract class Stmt
+abstract class AExp
+abstract class BExp 
+type Block = List[Stmt]
+
+// statements
+case object Skip extends Stmt
+case class ArrayDef(s: String, n: Int) extends Stmt            // array definition
+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             // var := exp
+case class AssignA(s: String, a1: AExp, a2: AExp) extends Stmt // arr[exp1] := exp2
+case class Write(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 a main method and a method for writing out an integer
+//
+// - the stack and locals are hard-coded
+//
+
+val beginning = """
+.class public XXX.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
+    invokevirtual java/io/PrintStream/print(I)V
+    return 
+.end method
+
+.method public static main([Ljava/lang/String;)V
+   .limit locals 200
+   .limit stack 200
+
+; COMPILED CODE STARTS   
+
+"""
+
+val ending = """
+; COMPILED CODE ENDS
+   return
+
+.end method
+"""
+
+
+
+// for generating new labels
+var counter = -1
+
+def Fresh(x: String) = {
+  counter += 1
+  x ++ "_" ++ counter.toString()
+}
+
+// environments for variables and indices
+type Env = Map[String, Int]
+
+// convenient string interpolations 
+// for generating instructions and labels
+
+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)}"
+  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/XXX/write(I)V", env)
+  case ArrayDef(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 ${env(s)}" ++
+     compile_aexp(a1, env) ++
+     compile_aexp(a2, env) ++
+     i"iastore", env)
+  } 
+}
+
+// compile a block (i.e. list of statements)
+def compile_block(bl: Block, env: Env) : (String, Env) = bl match {
+  case Nil => ("", env)
+  case s::bl => {
+    val (instrs1, env1) = compile_stmt(s, env)
+    val (instrs2, env2) = compile_block(bl, env1)
+    (instrs1 ++ instrs2, env2)
+  }
+}
+
+
+// main compile function for blocks (adds headers and proper JVM names)
+def compile(bl: Block, class_name: String) : String = {
+  val instructions = compile_block(bl, Map())._1
+  (beginning ++ instructions ++ ending).replace("XXX", class_name)
+}
+
+
+
+// contrived example involving arrays
+val array_test = 
+  List(ArrayDef("a", 10),               // array a[10]
+       ArrayDef("b", 2),                // array b[2]
+       AssignA("a", Num(0), Num(10)),   // a[0] := 10
+       Assign("x", Ref("a", Num(0))),   // x := a[0]
+       Write("x"),            
+       AssignA("b", Num(1), Num(5)),    // b[1] := 5
+       Assign("x", Ref("b", Num(1))),   // x := b[1] 
+       Write("x"))                     
+
+
+// prints out the JVM-assembly instructions for fib above
+//
+//    println(compile(array_test, "arr"))
+//
+// can be assembled by hand with 
+//
+//    java -jar jasmin.jar arr.j
+//
+// and run with
+//
+//    java arr/arr
+
+// automating the above
+import ammonite.ops._
+
+def compile_to_file(bl: Block, class_name: String) : Unit = 
+  write.over(pwd / s"$class_name.j", compile(bl, class_name))  
+
+def compile_and_run(bl: Block, class_name: String) : Unit = {
+  println(s"Start of compilation")
+  compile_to_file(bl, class_name)
+  println(s"generated $class_name.j file")
+  os.proc("java", "-jar", "jasmin.jar", s"$class_name.j").call()
+  println(s"generated $class_name.class file ")
+  //println(os.proc("java", s"${class_name}/${class_name}").call().out.text())
+  os.proc("java", s"${class_name}/${class_name}").call(stdout = os.Inherit)
+  println(s"done.")
+}
+
+
+   
+@main def main() = {
+  compile_and_run(array_test, "arr")
+}
+
+

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/progs/while-arrays/compile_bfc.sc	Mon Oct 26 10:27:01 2020 +0000
@@ -0,0 +1,310 @@
+// Some more interesting testcases for the 
+// WHILE compiler with arrays, it includes: 
+//
+//  - a small parser for WHILE programs
+//
+//  - transpiles BF programs into WHILE programs
+//    and then compiles and runs them
+//
+//  - the power-example is the Mandelbrot set:
+//       
+//       * 65k for the transpiled WHILE program 
+//       * parsing uses around 30 secs using fastparse
+//       * the jasmin assembly file is 236k
+//       * the resulting Java program takes about 20 secs 
+//
+// Call with (X being 0,1,..,4)
+//
+//  amm compile_bfc.sc all
+//  amm compile_bfc.sc bfcX
+
+
+// load the compiler
+import $file.compile_arrays
+import compile_arrays._ 
+
+def time_needed[T](i: Int, code: => T) = {
+  val start = System.nanoTime()
+  for (j <- 2 to i) code
+  val result = code
+  val end = System.nanoTime()
+  ((end - start) / (i * 1.0e9), result)
+}
+
+// for BF we have to change the write library-function,
+// because in BF integers are written out as characters
+val beginning = """
+.class public XXX.XXX
+.super java/lang/Object
+
+.method public static write(I)V 
+    .limit locals 1 
+    .limit stack 2 
+    getstatic java/lang/System/out Ljava/io/PrintStream; 
+    iload 0
+    i2c                                           ; Int => Char
+    invokevirtual java/io/PrintStream/print(C)V   ; println(I)V => print(C)V    
+    return 
+.end method
+
+.method public static main([Ljava/lang/String;)V
+   .limit locals 200
+   .limit stack 200
+
+; COMPILED CODE STARTS   
+
+"""
+
+
+// modified main compilation function for blocks
+def compile(bl: Block, class_name: String) : String = {
+  val instructions = compile_block(bl, Map())._1
+  (beginning ++ instructions ++ ending).replace("XXX", class_name)
+}
+
+// automating the above
+import ammonite.ops._
+
+def compile_to_file(bl: Block, class_name: String) : Unit = 
+  write.over(pwd / s"$class_name.j", compile(bl, class_name))  
+
+def compile_and_run(bl: Block, class_name: String) : Unit = {
+  println(s"Start of compilation")
+  compile_to_file(bl, class_name)
+  println(s"generated $class_name.j file")
+  val (jasmin_time, _) = 
+    time_needed(1, os.proc("java", "-jar", "jasmin.jar", s"$class_name.j").call())
+  println(s"generated $class_name.class file (in $jasmin_time secs).")
+  val (running_time, output) = 
+    time_needed(1, os.proc("java", s"${class_name}/${class_name}").call().out.text())
+  println(output)
+  println(s"done (in $running_time secs).")
+}
+
+
+//=====================================
+// Grammar Rules for WHILE with arrays
+//=====================================
+
+import fastparse._
+import MultiLineWhitespace._
+
+def lowercase [_ : P] = P( CharIn("a-z") )
+def uppercase[_ : P]  = P( CharIn("A-Z") )
+def letter[_ : P]     = P( lowercase | uppercase )
+def digit [_ : P]     = P( CharIn("0-9") )
+
+def Number[_ : P]: P[Int] =  P( digit.rep(1) ).!.map(_.toInt)
+def Ident[_ : P]: P[String] = P( letter ~ (letter | digit | "_").rep ).!
+
+// arithmetic expressions
+def AExp[_ : P]: P[AExp] = 
+  P(  P(Te ~ "+" ~ AExp).map{ case (l, r) => Aop("+", l, r)} 
+    | P(Te ~ "-" ~ AExp).map{ case (l, r) => Aop("-", l, r)}
+    | Te )
+def Te[_ : P]: P[AExp] = 
+  P(  P(Fa ~ "*" ~ Te).map{ case (l, r) => Aop("*", l, r)} 
+    | Fa )   
+def Fa[_ : P]: P[AExp] = 
+  P( "(" ~ AExp ~ ")" 
+     | P (Ident ~ "[" ~ AExp ~ "]").map{Ref.tupled}
+     | P(Number).map{Num} 
+     | P(Ident).map{Var} )
+
+// boolean expressions
+def BExp[_ : P]: P[BExp] = 
+  P(  P(AExp ~ "=" ~ AExp).map{ case (x, z) => Bop("=", x, z)} 
+    | P(AExp ~ "!=" ~ AExp).map{ case (x, z) => Bop("!=", x, z)}  
+    | P(AExp ~ "<" ~ AExp).map{ case (x, z) => Bop("<", x, z)}  
+    | P(AExp ~ ">" ~ AExp).map{ case (x, z) => Bop("<", z, x)}  
+    | P("true").map{ _ => True} 
+    | P("false").map{ _ => False} 
+    | "(" ~ BExp ~ ")" )
+
+// statements and blocks
+def Stmt[_ : P]: P[Stmt] =
+  P(  P("skip").map( _ => Skip) 
+    | P(Ident ~ ":=" ~ AExp).map{Assign.tupled} 
+    | P(Ident ~ "[" ~ AExp ~ "]" ~ ":=" ~ AExp).map{AssignA.tupled} 
+    | P("if" ~ BExp ~ "then" ~ Block ~ "else" ~ Block).map{If.tupled} 
+    | P("while" ~ BExp ~ "do" ~ Block).map{While.tupled} 
+    | P("new(" ~ Ident ~ "[" ~ Number ~ "])").map{ArrayDef.tupled} 
+    | P("write(" ~ Ident ~ ")").map{Write} ) 
+
+def Stmts[_ : P]: P[Block] =
+  P(  P(Stmt ~ ";" ~ Stmts).map{ case (x, z) => x :: z } 
+    | P(Stmt).map{s => List(s)} ) 
+
+def Block[_ : P]: P[Block] =
+  P(  "{" ~ Stmts ~ "}" 
+    | P(Stmt).map(s => List(s)) )
+
+// some test cases for the parser
+
+//println(fastparse.parse("(1 + (2 + 5)) + 4", AExp(_)).get)
+//println(fastparse.parse("1 + 2 + 3 + 45", AExp(_)))
+//println(fastparse.parse("1 + 2 * 3", AExp(_)))
+//println(fastparse.parse("x + 2 * 3", AExp(_)))
+//println(fastparse.parse("x2 := 5 + a", Stmts(_)))
+//println(fastparse.parse("x2 := 5 + a[3+a]", Stmts(_)))
+//println(fastparse.parse("a[x2+3] := 5 + a[3+a]", Stmts(_)))
+//println(fastparse.parse("{x := 5; y := 8}", Block(_)))
+//println(fastparse.parse("if (false) then {x := 5} else {x := 10}", Block(_)))
+
+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)
+   """
+
+//println(fastparse.parse(fib, Stmts(_)).get.value)
+
+
+
+//======================================
+// BF transpiler into WHILE with arrays
+//======================================
+
+// simple BF instructions translation
+def instr(c: Char) : String = c match {
+  case '>' => "ptr := ptr + 1;"
+  case '<' => "ptr := ptr - 1;"
+  case '+' => "mem[ptr] := mem[ptr] + 1;"
+  case '-' => "mem[ptr] := mem[ptr] - 1;"
+  case '.' => "x := mem[ptr]; write x;"
+  //case ',' => "XXX" // "ptr = getchar();\n"
+  case '['  => "while (mem[ptr] != 0) do {"
+  case ']'  => "skip};"
+  case _ => ""
+}
+
+def instrs(prog: String) : String =
+  prog.toList.map(instr).mkString
+
+
+// Note: Unfortunately, the transpiled mandelbrot.bf program 
+// is so large that it does not fit inside the limitations of 
+// what the JVM imposes on methods (only 64K of instructions).
+// Therefore some optimisations are first applied to 
+// BF programs before WHILE programs are created. The
+// optimisations are 
+//  
+//  - replacing BF-loops of the form [-] with a new 0-instruction 
+//  - combining single increment/decrement instructions
+//
+// The size of the resulting .j-file is 270K.
+
+
+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 '>' => s"ptr := ptr + $n;"
+  case '<' => s"ptr := ptr - $n;"
+  case '0' => s"mem[ptr] := 0;"
+  case '+' => s"mem[ptr] := mem[ptr] + $n;"
+  case '-' => s"mem[ptr] := mem[ptr] - $n;"
+  case '.' => s"x := mem[ptr]; write(x);" 
+  case '['  => "while (mem[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
+
+// adding the "header" to the BF program
+def bf_str(prog: String) : String = {
+  "new(mem[30000]);" ++
+  "ptr := 15000;" ++
+  instrs2(prog) ++
+  "skip"
+}
+
+
+def bf_run(prog: String, name: String) = {
+  println(s"BF pre-processing of $name")
+  val bf_string = bf_str(prog)
+  println(s"BF parsing (program length ${bf_string.length} characters)")
+  val (time, bf_prog) = 
+    time_needed(1, fastparse.parse(bf_string, Stmts(_)).get.value)
+  println(s"BF generated WHILE program (needed $time secs for parsing)")
+  compile_and_run(bf_prog, name)
+}
+
+// a benchmark program (counts down from 'Z' to 'A')
+@doc(" Benchmark 'Z' to 'A'.")
+@main
+def bfc0() = bf_run(read(pwd / "benchmark.bf"), "bench")
+
+
+@doc(" Sierpinski triangle.")
+@main
+def bfc1() = bf_run(read(pwd / "sierpinski.bf"), "sier")
+
+// Hello World
+val bf2 = """++++++++[>++++[>++>+++>+++>+<<<<-]>+>+>->>+[<]<-]
+      >>.>---.+++++++..+++.>>.<-.<.+++.------.--------.>>+.>++."""
+
+@doc(" Hello world.")
+@main
+def bfc2() = bf_run(bf2, "hello")
+
+// Fibonacci 
+val bf3 = """+++++++++++
+      >+>>>>++++++++++++++++++++++++++++++++++++++++++++
+      >++++++++++++++++++++++++++++++++<<<<<<[>[>>>>>>+>
+      +<<<<<<<-]>>>>>>>[<<<<<<<+>>>>>>>-]<[>++++++++++[-
+      <-[>>+>+<<<-]>>>[<<<+>>>-]+<[>[-]<[-]]>[<<[>>>+<<<
+      -]>>[-]]<<]>>>[>>+>+<<<-]>>>[<<<+>>>-]+<[>[-]<[-]]
+      >[<<+>>[-]]<<<<<<<]>>>>>[+++++++++++++++++++++++++
+      +++++++++++++++++++++++.[-]]++++++++++<[->-<]>++++
+      ++++++++++++++++++++++++++++++++++++++++++++.[-]<<
+      <<<<<<<<<<[>>>+>+<<<<-]>>>>[<<<<+>>>>-]<-[>>.>.<<<
+      [-]]<<[>>+>+<<<-]>>>[<<<+>>>-]<<[<+>-]>[<+>-]<<<-]
+      [-]++++++++++."""
+
+@doc(" Fibonacci numbers.")
+@main
+def bfc3() = bf_run(bf3, "fibs")
+
+// Mandelbrot Set
+//----------------
+//
+// Note: Parsing of the generated WHILE program (around 60K in size)
+// takes approximately 10 minutes to parse with our parser combinators,
+// and approximately 30 seconds with Ammonite's fastparse.
+
+@doc(" Mandelbrot set.")
+@main
+def bfc4() = bf_run(read(pwd / "mandelbrot.bf"), "mandelbrot")
+
+
+// this unfortunately hits the capacity of the JVM, even with optimisations
+//@doc(" Coolatz serries up to 30.")
+//@main
+//def bfc5() = bf_run(read(pwd / "collatz.bf"), "coll")
+
+
+//
+@doc(" All benchmarks.")
+@main
+def all() = { bfc0(); bfc1(); bfc2(); bfc3(); bfc4() } 
+
+
+

Binary file progs/while-arrays/jasmin.jar has changed

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/progs/while-arrays/mandelbrot.bf	Mon Oct 26 10:27:01 2020 +0000
@@ -0,0 +1,148 @@
+// a Mandelbrot set generator in brainf___ written by Erik Bosman
+// (http://esoteric.sange.fi/brainfuck/utils/mandelbrot/)
+
+
++++++++++++++[->++>>>+++++>++>+<<<<<<]>>>>>++++++>--->>>>>>>>>>+++++++++++++++[[
+>>>>>>>>>]+[<<<<<<<<<]>>>>>>>>>-]+[>>>>>>>>[-]>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>[-]+
+<<<<<<<+++++[-[->>>>>>>>>+<<<<<<<<<]>>>>>>>>>]>>>>>>>+>>>>>>>>>>>>>>>>>>>>>>>>>>
+>+<<<<<<<<<<<<<<<<<[<<<<<<<<<]>>>[-]+[>>>>>>[>>>>>>>[-]>>]<<<<<<<<<[<<<<<<<<<]>>
+>>>>>[-]+<<<<<<++++[-[->>>>>>>>>+<<<<<<<<<]>>>>>>>>>]>>>>>>+<<<<<<+++++++[-[->>>
+>>>>>>+<<<<<<<<<]>>>>>>>>>]>>>>>>+<<<<<<<<<<<<<<<<[<<<<<<<<<]>>>[[-]>>>>>>[>>>>>
+>>[-<<<<<<+>>>>>>]<<<<<<[->>>>>>+<<+<<<+<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>
+[>>>>>>>>[-<<<<<<<+>>>>>>>]<<<<<<<[->>>>>>>+<<+<<<+<<]>>>>>>>>]<<<<<<<<<[<<<<<<<
+<<]>>>>>>>[-<<<<<<<+>>>>>>>]<<<<<<<[->>>>>>>+<<+<<<<<]>>>>>>>>>+++++++++++++++[[
+>>>>>>>>>]+>[-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>-]+[
+>+>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>->>>>[-<<<<+>>>>]<<<<[->>>>+<<<<<[->>[
+-<<+>>]<<[->>+>>+<<<<]+>>>>>>>>>]<<<<<<<<[<<<<<<<<<]]>>>>>>>>>[>>>>>>>>>]<<<<<<<
+<<[>[->>>>>>>>>+<<<<<<<<<]<<<<<<<<<<]>[->>>>>>>>>+<<<<<<<<<]<+>>>>>>>>]<<<<<<<<<
+[>[-]<->>>>[-<<<<+>[<->-<<<<<<+>>>>>>]<[->+<]>>>>]<<<[->>>+<<<]<+<<<<<<<<<]>>>>>
+>>>>[>+>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>->>>>>[-<<<<<+>>>>>]<<<<<[->>>>>+
+<<<<<<[->>>[-<<<+>>>]<<<[->>>+>+<<<<]+>>>>>>>>>]<<<<<<<<[<<<<<<<<<]]>>>>>>>>>[>>
+>>>>>>>]<<<<<<<<<[>>[->>>>>>>>>+<<<<<<<<<]<<<<<<<<<<<]>>[->>>>>>>>>+<<<<<<<<<]<<
++>>>>>>>>]<<<<<<<<<[>[-]<->>>>[-<<<<+>[<->-<<<<<<+>>>>>>]<[->+<]>>>>]<<<[->>>+<<
+<]<+<<<<<<<<<]>>>>>>>>>[>>>>[-<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<+>>>>>>>>>>>>>
+>>>>>>>>>>>>>>>>>>>>>>>]>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>+++++++++++++++[[>>>>
+>>>>>]<<<<<<<<<-<<<<<<<<<[<<<<<<<<<]>>>>>>>>>-]+>>>>>>>>>>>>>>>>>>>>>+<<<[<<<<<<
+<<<]>>>>>>>>>[>>>[-<<<->>>]+<<<[->>>->[-<<<<+>>>>]<<<<[->>>>+<<<<<<<<<<<<<[<<<<<
+<<<<]>>>>[-]+>>>>>[>>>>>>>>>]>+<]]+>>>>[-<<<<->>>>]+<<<<[->>>>-<[-<<<+>>>]<<<[->
+>>+<<<<<<<<<<<<[<<<<<<<<<]>>>[-]+>>>>>>[>>>>>>>>>]>[-]+<]]+>[-<[>>>>>>>>>]<<<<<<
+<<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]<<<<<<<[->+>>>-<<<<]>>>>>>>>>+++++++++++++++++++
++++++++>>[-<<<<+>>>>]<<<<[->>>>+<<[-]<<]>>[<<<<<<<+<[-<+>>>>+<<[-]]>[-<<[->+>>>-
+<<<<]>>>]>>>>>>>>>>>>>[>>[-]>[-]>[-]>>>>>]<<<<<<<<<[<<<<<<<<<]>>>[-]>>>>>>[>>>>>
+[-<<<<+>>>>]<<<<[->>>>+<<<+<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>>[-<<<<<<<<
+<+>>>>>>>>>]>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>+++++++++++++++[[>>>>>>>>>]+>[-
+]>[-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>-]+[>+>>>>>>>>]<<<
+<<<<<<[<<<<<<<<<]>>>>>>>>>[>->>>>>[-<<<<<+>>>>>]<<<<<[->>>>>+<<<<<<[->>[-<<+>>]<
+<[->>+>+<<<]+>>>>>>>>>]<<<<<<<<[<<<<<<<<<]]>>>>>>>>>[>>>>>>>>>]<<<<<<<<<[>[->>>>
+>>>>>+<<<<<<<<<]<<<<<<<<<<]>[->>>>>>>>>+<<<<<<<<<]<+>>>>>>>>]<<<<<<<<<[>[-]<->>>
+[-<<<+>[<->-<<<<<<<+>>>>>>>]<[->+<]>>>]<<[->>+<<]<+<<<<<<<<<]>>>>>>>>>[>>>>>>[-<
+<<<<+>>>>>]<<<<<[->>>>>+<<<<+<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>+>>>>>>>>
+]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>->>>>>[-<<<<<+>>>>>]<<<<<[->>>>>+<<<<<<[->>[-<<+
+>>]<<[->>+>>+<<<<]+>>>>>>>>>]<<<<<<<<[<<<<<<<<<]]>>>>>>>>>[>>>>>>>>>]<<<<<<<<<[>
+[->>>>>>>>>+<<<<<<<<<]<<<<<<<<<<]>[->>>>>>>>>+<<<<<<<<<]<+>>>>>>>>]<<<<<<<<<[>[-
+]<->>>>[-<<<<+>[<->-<<<<<<+>>>>>>]<[->+<]>>>>]<<<[->>>+<<<]<+<<<<<<<<<]>>>>>>>>>
+[>>>>[-<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<+>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
+]>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>>>[-<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<+>
+>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>]>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>++++++++
++++++++[[>>>>>>>>>]<<<<<<<<<-<<<<<<<<<[<<<<<<<<<]>>>>>>>>>-]+[>>>>>>>>[-<<<<<<<+
+>>>>>>>]<<<<<<<[->>>>>>>+<<<<<<+<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>>>>>>[
+-]>>>]<<<<<<<<<[<<<<<<<<<]>>>>+>[-<-<<<<+>>>>>]>[-<<<<<<[->>>>>+<++<<<<]>>>>>[-<
+<<<<+>>>>>]<->+>]<[->+<]<<<<<[->>>>>+<<<<<]>>>>>>[-]<<<<<<+>>>>[-<<<<->>>>]+<<<<
+[->>>>->>>>>[>>[-<<->>]+<<[->>->[-<<<+>>>]<<<[->>>+<<<<<<<<<<<<[<<<<<<<<<]>>>[-]
++>>>>>>[>>>>>>>>>]>+<]]+>>>[-<<<->>>]+<<<[->>>-<[-<<+>>]<<[->>+<<<<<<<<<<<[<<<<<
+<<<<]>>>>[-]+>>>>>[>>>>>>>>>]>[-]+<]]+>[-<[>>>>>>>>>]<<<<<<<<]>>>>>>>>]<<<<<<<<<
+[<<<<<<<<<]>>>>[-<<<<+>>>>]<<<<[->>>>+>>>>>[>+>>[-<<->>]<<[->>+<<]>>>>>>>>]<<<<<
+<<<+<[>[->>>>>+<<<<[->>>>-<<<<<<<<<<<<<<+>>>>>>>>>>>[->>>+<<<]<]>[->>>-<<<<<<<<<
+<<<<<+>>>>>>>>>>>]<<]>[->>>>+<<<[->>>-<<<<<<<<<<<<<<+>>>>>>>>>>>]<]>[->>>+<<<]<<
+<<<<<<<<<<]>>>>[-]<<<<]>>>[-<<<+>>>]<<<[->>>+>>>>>>[>+>[-<->]<[->+<]>>>>>>>>]<<<
+<<<<<+<[>[->>>>>+<<<[->>>-<<<<<<<<<<<<<<+>>>>>>>>>>[->>>>+<<<<]>]<[->>>>-<<<<<<<
+<<<<<<<+>>>>>>>>>>]<]>>[->>>+<<<<[->>>>-<<<<<<<<<<<<<<+>>>>>>>>>>]>]<[->>>>+<<<<
+]<<<<<<<<<<<]>>>>>>+<<<<<<]]>>>>[-<<<<+>>>>]<<<<[->>>>+>>>>>[>>>>>>>>>]<<<<<<<<<
+[>[->>>>>+<<<<[->>>>-<<<<<<<<<<<<<<+>>>>>>>>>>>[->>>+<<<]<]>[->>>-<<<<<<<<<<<<<<
++>>>>>>>>>>>]<<]>[->>>>+<<<[->>>-<<<<<<<<<<<<<<+>>>>>>>>>>>]<]>[->>>+<<<]<<<<<<<
+<<<<<]]>[-]>>[-]>[-]>>>>>[>>[-]>[-]>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>>>>>[-<
+<<<+>>>>]<<<<[->>>>+<<<+<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>+++++++++++++++[
+[>>>>>>>>>]+>[-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>-]+
+[>+>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>->>>>[-<<<<+>>>>]<<<<[->>>>+<<<<<[->>
+[-<<+>>]<<[->>+>+<<<]+>>>>>>>>>]<<<<<<<<[<<<<<<<<<]]>>>>>>>>>[>>>>>>>>>]<<<<<<<<
+<[>[->>>>>>>>>+<<<<<<<<<]<<<<<<<<<<]>[->>>>>>>>>+<<<<<<<<<]<+>>>>>>>>]<<<<<<<<<[
+>[-]<->>>[-<<<+>[<->-<<<<<<<+>>>>>>>]<[->+<]>>>]<<[->>+<<]<+<<<<<<<<<]>>>>>>>>>[
+>>>[-<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<+>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>]>
+>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>[-]>>>>+++++++++++++++[[>>>>>>>>>]<<<<<<<<<-<<<<<
+<<<<[<<<<<<<<<]>>>>>>>>>-]+[>>>[-<<<->>>]+<<<[->>>->[-<<<<+>>>>]<<<<[->>>>+<<<<<
+<<<<<<<<[<<<<<<<<<]>>>>[-]+>>>>>[>>>>>>>>>]>+<]]+>>>>[-<<<<->>>>]+<<<<[->>>>-<[-
+<<<+>>>]<<<[->>>+<<<<<<<<<<<<[<<<<<<<<<]>>>[-]+>>>>>>[>>>>>>>>>]>[-]+<]]+>[-<[>>
+>>>>>>>]<<<<<<<<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>[-<<<+>>>]<<<[->>>+>>>>>>[>+>>>
+[-<<<->>>]<<<[->>>+<<<]>>>>>>>>]<<<<<<<<+<[>[->+>[-<-<<<<<<<<<<+>>>>>>>>>>>>[-<<
++>>]<]>[-<<-<<<<<<<<<<+>>>>>>>>>>>>]<<<]>>[-<+>>[-<<-<<<<<<<<<<+>>>>>>>>>>>>]<]>
+[-<<+>>]<<<<<<<<<<<<<]]>>>>[-<<<<+>>>>]<<<<[->>>>+>>>>>[>+>>[-<<->>]<<[->>+<<]>>
+>>>>>>]<<<<<<<<+<[>[->+>>[-<<-<<<<<<<<<<+>>>>>>>>>>>[-<+>]>]<[-<-<<<<<<<<<<+>>>>
+>>>>>>>]<<]>>>[-<<+>[-<-<<<<<<<<<<+>>>>>>>>>>>]>]<[-<+>]<<<<<<<<<<<<]>>>>>+<<<<<
+]>>>>>>>>>[>>>[-]>[-]>[-]>>>>]<<<<<<<<<[<<<<<<<<<]>>>[-]>[-]>>>>>[>>>>>>>[-<<<<<
+<+>>>>>>]<<<<<<[->>>>>>+<<<<+<<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>+>[-<-<<<<+>>>>
+>]>>[-<<<<<<<[->>>>>+<++<<<<]>>>>>[-<<<<<+>>>>>]<->+>>]<<[->>+<<]<<<<<[->>>>>+<<
+<<<]+>>>>[-<<<<->>>>]+<<<<[->>>>->>>>>[>>>[-<<<->>>]+<<<[->>>-<[-<<+>>]<<[->>+<<
+<<<<<<<<<[<<<<<<<<<]>>>>[-]+>>>>>[>>>>>>>>>]>+<]]+>>[-<<->>]+<<[->>->[-<<<+>>>]<
+<<[->>>+<<<<<<<<<<<<[<<<<<<<<<]>>>[-]+>>>>>>[>>>>>>>>>]>[-]+<]]+>[-<[>>>>>>>>>]<
+<<<<<<<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>[-<<<+>>>]<<<[->>>+>>>>>>[>+>[-<->]<[->+
+<]>>>>>>>>]<<<<<<<<+<[>[->>>>+<<[->>-<<<<<<<<<<<<<+>>>>>>>>>>[->>>+<<<]>]<[->>>-
+<<<<<<<<<<<<<+>>>>>>>>>>]<]>>[->>+<<<[->>>-<<<<<<<<<<<<<+>>>>>>>>>>]>]<[->>>+<<<
+]<<<<<<<<<<<]>>>>>[-]>>[-<<<<<<<+>>>>>>>]<<<<<<<[->>>>>>>+<<+<<<<<]]>>>>[-<<<<+>
+>>>]<<<<[->>>>+>>>>>[>+>>[-<<->>]<<[->>+<<]>>>>>>>>]<<<<<<<<+<[>[->>>>+<<<[->>>-
+<<<<<<<<<<<<<+>>>>>>>>>>>[->>+<<]<]>[->>-<<<<<<<<<<<<<+>>>>>>>>>>>]<<]>[->>>+<<[
+->>-<<<<<<<<<<<<<+>>>>>>>>>>>]<]>[->>+<<]<<<<<<<<<<<<]]>>>>[-]<<<<]>>>>[-<<<<+>>
+>>]<<<<[->>>>+>[-]>>[-<<<<<<<+>>>>>>>]<<<<<<<[->>>>>>>+<<+<<<<<]>>>>>>>>>[>>>>>>
+>>>]<<<<<<<<<[>[->>>>+<<<[->>>-<<<<<<<<<<<<<+>>>>>>>>>>>[->>+<<]<]>[->>-<<<<<<<<
+<<<<<+>>>>>>>>>>>]<<]>[->>>+<<[->>-<<<<<<<<<<<<<+>>>>>>>>>>>]<]>[->>+<<]<<<<<<<<
+<<<<]]>>>>>>>>>[>>[-]>[-]>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>[-]>[-]>>>>>[>>>>>[-<<<<+
+>>>>]<<<<[->>>>+<<<+<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>>>>>>[-<<<<<+>>>>>
+]<<<<<[->>>>>+<<<+<<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>+++++++++++++++[[>>>>
+>>>>>]+>[-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>-]+[>+>>
+>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>->>>>[-<<<<+>>>>]<<<<[->>>>+<<<<<[->>[-<<+
+>>]<<[->>+>>+<<<<]+>>>>>>>>>]<<<<<<<<[<<<<<<<<<]]>>>>>>>>>[>>>>>>>>>]<<<<<<<<<[>
+[->>>>>>>>>+<<<<<<<<<]<<<<<<<<<<]>[->>>>>>>>>+<<<<<<<<<]<+>>>>>>>>]<<<<<<<<<[>[-
+]<->>>>[-<<<<+>[<->-<<<<<<+>>>>>>]<[->+<]>>>>]<<<[->>>+<<<]<+<<<<<<<<<]>>>>>>>>>
+[>+>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>->>>>>[-<<<<<+>>>>>]<<<<<[->>>>>+<<<<
+<<[->>>[-<<<+>>>]<<<[->>>+>+<<<<]+>>>>>>>>>]<<<<<<<<[<<<<<<<<<]]>>>>>>>>>[>>>>>>
+>>>]<<<<<<<<<[>>[->>>>>>>>>+<<<<<<<<<]<<<<<<<<<<<]>>[->>>>>>>>>+<<<<<<<<<]<<+>>>
+>>>>>]<<<<<<<<<[>[-]<->>>>[-<<<<+>[<->-<<<<<<+>>>>>>]<[->+<]>>>>]<<<[->>>+<<<]<+
+<<<<<<<<<]>>>>>>>>>[>>>>[-<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<+>>>>>>>>>>>>>>>>>
+>>>>>>>>>>>>>>>>>>>]>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>+++++++++++++++[[>>>>>>>>
+>]<<<<<<<<<-<<<<<<<<<[<<<<<<<<<]>>>>>>>>>-]+>>>>>>>>>>>>>>>>>>>>>+<<<[<<<<<<<<<]
+>>>>>>>>>[>>>[-<<<->>>]+<<<[->>>->[-<<<<+>>>>]<<<<[->>>>+<<<<<<<<<<<<<[<<<<<<<<<
+]>>>>[-]+>>>>>[>>>>>>>>>]>+<]]+>>>>[-<<<<->>>>]+<<<<[->>>>-<[-<<<+>>>]<<<[->>>+<
+<<<<<<<<<<<[<<<<<<<<<]>>>[-]+>>>>>>[>>>>>>>>>]>[-]+<]]+>[-<[>>>>>>>>>]<<<<<<<<]>
+>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>->>[-<<<<+>>>>]<<<<[->>>>+<<[-]<<]>>]<<+>>>>[-<<<<
+->>>>]+<<<<[->>>>-<<<<<<.>>]>>>>[-<<<<<<<.>>>>>>>]<<<[-]>[-]>[-]>[-]>[-]>[-]>>>[
+>[-]>[-]>[-]>[-]>[-]>[-]>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>>>>>[-]>>>>]<<<<<<<<<
+[<<<<<<<<<]>+++++++++++[-[->>>>>>>>>+<<<<<<<<<]>>>>>>>>>]>>>>+>>>>>>>>>+<<<<<<<<
+<<<<<<[<<<<<<<<<]>>>>>>>[-<<<<<<<+>>>>>>>]<<<<<<<[->>>>>>>+[-]>>[>>>>>>>>>]<<<<<
+<<<<[>>>>>>>[-<<<<<<+>>>>>>]<<<<<<[->>>>>>+<<<<<<<[<<<<<<<<<]>>>>>>>[-]+>>>]<<<<
+<<<<<<]]>>>>>>>[-<<<<<<<+>>>>>>>]<<<<<<<[->>>>>>>+>>[>+>>>>[-<<<<->>>>]<<<<[->>>
+>+<<<<]>>>>>>>>]<<+<<<<<<<[>>>>>[->>+<<]<<<<<<<<<<<<<<]>>>>>>>>>[>>>>>>>>>]<<<<<
+<<<<[>[-]<->>>>>>>[-<<<<<<<+>[<->-<<<+>>>]<[->+<]>>>>>>>]<<<<<<[->>>>>>+<<<<<<]<
++<<<<<<<<<]>>>>>>>-<<<<[-]+<<<]+>>>>>>>[-<<<<<<<->>>>>>>]+<<<<<<<[->>>>>>>->>[>>
+>>>[->>+<<]>>>>]<<<<<<<<<[>[-]<->>>>>>>[-<<<<<<<+>[<->-<<<+>>>]<[->+<]>>>>>>>]<<
+<<<<[->>>>>>+<<<<<<]<+<<<<<<<<<]>+++++[-[->>>>>>>>>+<<<<<<<<<]>>>>>>>>>]>>>>+<<<
+<<[<<<<<<<<<]>>>>>>>>>[>>>>>[-<<<<<->>>>>]+<<<<<[->>>>>->>[-<<<<<<<+>>>>>>>]<<<<
+<<<[->>>>>>>+<<<<<<<<<<<<<<<<[<<<<<<<<<]>>>>[-]+>>>>>[>>>>>>>>>]>+<]]+>>>>>>>[-<
+<<<<<<->>>>>>>]+<<<<<<<[->>>>>>>-<<[-<<<<<+>>>>>]<<<<<[->>>>>+<<<<<<<<<<<<<<[<<<
+<<<<<<]>>>[-]+>>>>>>[>>>>>>>>>]>[-]+<]]+>[-<[>>>>>>>>>]<<<<<<<<]>>>>>>>>]<<<<<<<
+<<[<<<<<<<<<]>>>>[-]<<<+++++[-[->>>>>>>>>+<<<<<<<<<]>>>>>>>>>]>>>>-<<<<<[<<<<<<<
+<<]]>>>]<<<<.>>>>>>>>>>[>>>>>>[-]>>>]<<<<<<<<<[<<<<<<<<<]>++++++++++[-[->>>>>>>>
+>+<<<<<<<<<]>>>>>>>>>]>>>>>+>>>>>>>>>+<<<<<<<<<<<<<<<[<<<<<<<<<]>>>>>>>>[-<<<<<<
+<<+>>>>>>>>]<<<<<<<<[->>>>>>>>+[-]>[>>>>>>>>>]<<<<<<<<<[>>>>>>>>[-<<<<<<<+>>>>>>
+>]<<<<<<<[->>>>>>>+<<<<<<<<[<<<<<<<<<]>>>>>>>>[-]+>>]<<<<<<<<<<]]>>>>>>>>[-<<<<<
+<<<+>>>>>>>>]<<<<<<<<[->>>>>>>>+>[>+>>>>>[-<<<<<->>>>>]<<<<<[->>>>>+<<<<<]>>>>>>
+>>]<+<<<<<<<<[>>>>>>[->>+<<]<<<<<<<<<<<<<<<]>>>>>>>>>[>>>>>>>>>]<<<<<<<<<[>[-]<-
+>>>>>>>>[-<<<<<<<<+>[<->-<<+>>]<[->+<]>>>>>>>>]<<<<<<<[->>>>>>>+<<<<<<<]<+<<<<<<
+<<<]>>>>>>>>-<<<<<[-]+<<<]+>>>>>>>>[-<<<<<<<<->>>>>>>>]+<<<<<<<<[->>>>>>>>->[>>>
+>>>[->>+<<]>>>]<<<<<<<<<[>[-]<->>>>>>>>[-<<<<<<<<+>[<->-<<+>>]<[->+<]>>>>>>>>]<<
+<<<<<[->>>>>>>+<<<<<<<]<+<<<<<<<<<]>+++++[-[->>>>>>>>>+<<<<<<<<<]>>>>>>>>>]>>>>>
++>>>>>>>>>>>>>>>>>>>>>>>>>>>+<<<<<<[<<<<<<<<<]>>>>>>>>>[>>>>>>[-<<<<<<->>>>>>]+<
+<<<<<[->>>>>>->>[-<<<<<<<<+>>>>>>>>]<<<<<<<<[->>>>>>>>+<<<<<<<<<<<<<<<<<[<<<<<<<
+<<]>>>>[-]+>>>>>[>>>>>>>>>]>+<]]+>>>>>>>>[-<<<<<<<<->>>>>>>>]+<<<<<<<<[->>>>>>>>
+-<<[-<<<<<<+>>>>>>]<<<<<<[->>>>>>+<<<<<<<<<<<<<<<[<<<<<<<<<]>>>[-]+>>>>>>[>>>>>>
+>>>]>[-]+<]]+>[-<[>>>>>>>>>]<<<<<<<<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>[-]<<<++++
++[-[->>>>>>>>>+<<<<<<<<<]>>>>>>>>>]>>>>>->>>>>>>>>>>>>>>>>>>>>>>>>>>-<<<<<<[<<<<
+<<<<<]]>>>]

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/progs/while-arrays/sierpinski.bf	Mon Oct 26 10:27:01 2020 +0000
@@ -0,0 +1,3 @@
+++++++++[>+>++++<<-]>++>>+<[-[>>+<<-]+>>]>+[-<<<[
+->[+[-]+>++>>>-<<]<[<]>>++++++[<<+++++>>-]+<<++.[-]<<
+]>.>+[>>]>+]

--- a/progs/while-compiler-arrays/benchmark.bf	Mon Oct 26 10:24:59 2020 +0000
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
->++[<+++++++++++++>-]<[[>+>+<<-]>[<+>-]++++++++
-[>++++++++<-]>.[-]<<>++++++++++[>++++++++++[>++
-++++++++[>++++++++++[>++++++++++[>++++++++++[>+
-+++++++++[-]<-]<-]<-]<-]<-]<-]<-]++++++++++.
\ No newline at end of file

--- a/progs/while-compiler-arrays/compile_arrays.sc	Mon Oct 26 10:24:59 2020 +0000
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,239 +0,0 @@
-// A Small Compiler for the WHILE Language
-//
-// - this compiler contains support for "static" integer 
-//   arrays (they are mutable but cannot be re-sized)
-//
-// Call with 
-//
-// amm compile_arrays.sc
-  
-
-// the abstract syntax trees for WHILE
-
-abstract class Stmt
-abstract class AExp
-abstract class BExp 
-type Block = List[Stmt]
-
-// statements
-case object Skip extends Stmt
-case class ArrayDef(s: String, n: Int) extends Stmt            // array definition
-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             // var := exp
-case class AssignA(s: String, a1: AExp, a2: AExp) extends Stmt // arr[exp1] := exp2
-case class Write(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 a main method and a method for writing out an integer
-//
-// - the stack and locals are hard-coded
-//
-
-val beginning = """
-.class public XXX.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
-    invokevirtual java/io/PrintStream/print(I)V
-    return 
-.end method
-
-.method public static main([Ljava/lang/String;)V
-   .limit locals 200
-   .limit stack 200
-
-; COMPILED CODE STARTS   
-
-"""
-
-val ending = """
-; COMPILED CODE ENDS
-   return
-
-.end method
-"""
-
-
-
-// for generating new labels
-var counter = -1
-
-def Fresh(x: String) = {
-  counter += 1
-  x ++ "_" ++ counter.toString()
-}
-
-// environments for variables and indices
-type Env = Map[String, Int]
-
-// convenient string interpolations 
-// for generating instructions and labels
-
-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)}"
-  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/XXX/write(I)V", env)
-  case ArrayDef(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 ${env(s)}" ++
-     compile_aexp(a1, env) ++
-     compile_aexp(a2, env) ++
-     i"iastore", env)
-  } 
-}
-
-// compile a block (i.e. list of statements)
-def compile_block(bl: Block, env: Env) : (String, Env) = bl match {
-  case Nil => ("", env)
-  case s::bl => {
-    val (instrs1, env1) = compile_stmt(s, env)
-    val (instrs2, env2) = compile_block(bl, env1)
-    (instrs1 ++ instrs2, env2)
-  }
-}
-
-
-// main compile function for blocks (adds headers and proper JVM names)
-def compile(bl: Block, class_name: String) : String = {
-  val instructions = compile_block(bl, Map())._1
-  (beginning ++ instructions ++ ending).replace("XXX", class_name)
-}
-
-
-
-// contrived example involving arrays
-val array_test = 
-  List(ArrayDef("a", 10),               // array a[10]
-       ArrayDef("b", 2),                // array b[2]
-       AssignA("a", Num(0), Num(10)),   // a[0] := 10
-       Assign("x", Ref("a", Num(0))),   // x := a[0]
-       Write("x"),            
-       AssignA("b", Num(1), Num(5)),    // b[1] := 5
-       Assign("x", Ref("b", Num(1))),   // x := b[1] 
-       Write("x"))                     
-
-
-// prints out the JVM-assembly instructions for fib above
-//
-//    println(compile(array_test, "arr"))
-//
-// can be assembled by hand with 
-//
-//    java -jar jasmin.jar arr.j
-//
-// and run with
-//
-//    java arr/arr
-
-// automating the above
-import ammonite.ops._
-
-def compile_to_file(bl: Block, class_name: String) : Unit = 
-  write.over(pwd / s"$class_name.j", compile(bl, class_name))  
-
-def compile_and_run(bl: Block, class_name: String) : Unit = {
-  println(s"Start of compilation")
-  compile_to_file(bl, class_name)
-  println(s"generated $class_name.j file")
-  os.proc("java", "-jar", "jasmin.jar", s"$class_name.j").call()
-  println(s"generated $class_name.class file ")
-  //println(os.proc("java", s"${class_name}/${class_name}").call().out.text())
-  os.proc("java", s"${class_name}/${class_name}").call(stdout = os.Inherit)
-  println(s"done.")
-}
-
-
-   
-@main def main() = {
-  compile_and_run(array_test, "arr")
-}
-
-

--- a/progs/while-compiler-arrays/compile_bfc.sc	Mon Oct 26 10:24:59 2020 +0000
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,310 +0,0 @@
-// Some more interesting testcases for the 
-// WHILE compiler with arrays, it includes: 
-//
-//  - a small parser for WHILE programs
-//
-//  - transpiles BF programs into WHILE programs
-//    and then compiles and runs them
-//
-//  - the power-example is the Mandelbrot set:
-//       
-//       * 65k for the transpiled WHILE program 
-//       * parsing uses around 30 secs using fastparse
-//       * the jasmin assembly file is 236k
-//       * the resulting Java program takes about 20 secs 
-//
-// Call with (X being 0,1,..,4)
-//
-//  amm compile_bfc.sc all
-//  amm compile_bfc.sc bfcX
-
-
-// load the compiler
-import $file.compile_arrays
-import compile_arrays._ 
-
-def time_needed[T](i: Int, code: => T) = {
-  val start = System.nanoTime()
-  for (j <- 2 to i) code
-  val result = code
-  val end = System.nanoTime()
-  ((end - start) / (i * 1.0e9), result)
-}
-
-// for BF we have to change the write library-function,
-// because in BF integers are written out as characters
-val beginning = """
-.class public XXX.XXX
-.super java/lang/Object
-
-.method public static write(I)V 
-    .limit locals 1 
-    .limit stack 2 
-    getstatic java/lang/System/out Ljava/io/PrintStream; 
-    iload 0
-    i2c                                           ; Int => Char
-    invokevirtual java/io/PrintStream/print(C)V   ; println(I)V => print(C)V    
-    return 
-.end method
-
-.method public static main([Ljava/lang/String;)V
-   .limit locals 200
-   .limit stack 200
-
-; COMPILED CODE STARTS   
-
-"""
-
-
-// modified main compilation function for blocks
-def compile(bl: Block, class_name: String) : String = {
-  val instructions = compile_block(bl, Map())._1
-  (beginning ++ instructions ++ ending).replace("XXX", class_name)
-}
-
-// automating the above
-import ammonite.ops._
-
-def compile_to_file(bl: Block, class_name: String) : Unit = 
-  write.over(pwd / s"$class_name.j", compile(bl, class_name))  
-
-def compile_and_run(bl: Block, class_name: String) : Unit = {
-  println(s"Start of compilation")
-  compile_to_file(bl, class_name)
-  println(s"generated $class_name.j file")
-  val (jasmin_time, _) = 
-    time_needed(1, os.proc("java", "-jar", "jasmin.jar", s"$class_name.j").call())
-  println(s"generated $class_name.class file (in $jasmin_time secs).")
-  val (running_time, output) = 
-    time_needed(1, os.proc("java", s"${class_name}/${class_name}").call().out.text())
-  println(output)
-  println(s"done (in $running_time secs).")
-}
-
-
-//=====================================
-// Grammar Rules for WHILE with arrays
-//=====================================
-
-import fastparse._
-import MultiLineWhitespace._
-
-def lowercase [_ : P] = P( CharIn("a-z") )
-def uppercase[_ : P]  = P( CharIn("A-Z") )
-def letter[_ : P]     = P( lowercase | uppercase )
-def digit [_ : P]     = P( CharIn("0-9") )
-
-def Number[_ : P]: P[Int] =  P( digit.rep(1) ).!.map(_.toInt)
-def Ident[_ : P]: P[String] = P( letter ~ (letter | digit | "_").rep ).!
-
-// arithmetic expressions
-def AExp[_ : P]: P[AExp] = 
-  P(  P(Te ~ "+" ~ AExp).map{ case (l, r) => Aop("+", l, r)} 
-    | P(Te ~ "-" ~ AExp).map{ case (l, r) => Aop("-", l, r)}
-    | Te )
-def Te[_ : P]: P[AExp] = 
-  P(  P(Fa ~ "*" ~ Te).map{ case (l, r) => Aop("*", l, r)} 
-    | Fa )   
-def Fa[_ : P]: P[AExp] = 
-  P( "(" ~ AExp ~ ")" 
-     | P (Ident ~ "[" ~ AExp ~ "]").map{Ref.tupled}
-     | P(Number).map{Num} 
-     | P(Ident).map{Var} )
-
-// boolean expressions
-def BExp[_ : P]: P[BExp] = 
-  P(  P(AExp ~ "=" ~ AExp).map{ case (x, z) => Bop("=", x, z)} 
-    | P(AExp ~ "!=" ~ AExp).map{ case (x, z) => Bop("!=", x, z)}  
-    | P(AExp ~ "<" ~ AExp).map{ case (x, z) => Bop("<", x, z)}  
-    | P(AExp ~ ">" ~ AExp).map{ case (x, z) => Bop("<", z, x)}  
-    | P("true").map{ _ => True} 
-    | P("false").map{ _ => False} 
-    | "(" ~ BExp ~ ")" )
-
-// statements and blocks
-def Stmt[_ : P]: P[Stmt] =
-  P(  P("skip").map( _ => Skip) 
-    | P(Ident ~ ":=" ~ AExp).map{Assign.tupled} 
-    | P(Ident ~ "[" ~ AExp ~ "]" ~ ":=" ~ AExp).map{AssignA.tupled} 
-    | P("if" ~ BExp ~ "then" ~ Block ~ "else" ~ Block).map{If.tupled} 
-    | P("while" ~ BExp ~ "do" ~ Block).map{While.tupled} 
-    | P("new(" ~ Ident ~ "[" ~ Number ~ "])").map{ArrayDef.tupled} 
-    | P("write(" ~ Ident ~ ")").map{Write} ) 
-
-def Stmts[_ : P]: P[Block] =
-  P(  P(Stmt ~ ";" ~ Stmts).map{ case (x, z) => x :: z } 
-    | P(Stmt).map{s => List(s)} ) 
-
-def Block[_ : P]: P[Block] =
-  P(  "{" ~ Stmts ~ "}" 
-    | P(Stmt).map(s => List(s)) )
-
-// some test cases for the parser
-
-//println(fastparse.parse("(1 + (2 + 5)) + 4", AExp(_)).get)
-//println(fastparse.parse("1 + 2 + 3 + 45", AExp(_)))
-//println(fastparse.parse("1 + 2 * 3", AExp(_)))
-//println(fastparse.parse("x + 2 * 3", AExp(_)))
-//println(fastparse.parse("x2 := 5 + a", Stmts(_)))
-//println(fastparse.parse("x2 := 5 + a[3+a]", Stmts(_)))
-//println(fastparse.parse("a[x2+3] := 5 + a[3+a]", Stmts(_)))
-//println(fastparse.parse("{x := 5; y := 8}", Block(_)))
-//println(fastparse.parse("if (false) then {x := 5} else {x := 10}", Block(_)))
-
-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)
-   """
-
-//println(fastparse.parse(fib, Stmts(_)).get.value)
-
-
-
-//======================================
-// BF transpiler into WHILE with arrays
-//======================================
-
-// simple BF instructions translation
-def instr(c: Char) : String = c match {
-  case '>' => "ptr := ptr + 1;"
-  case '<' => "ptr := ptr - 1;"
-  case '+' => "mem[ptr] := mem[ptr] + 1;"
-  case '-' => "mem[ptr] := mem[ptr] - 1;"
-  case '.' => "x := mem[ptr]; write x;"
-  //case ',' => "XXX" // "ptr = getchar();\n"
-  case '['  => "while (mem[ptr] != 0) do {"
-  case ']'  => "skip};"
-  case _ => ""
-}
-
-def instrs(prog: String) : String =
-  prog.toList.map(instr).mkString
-
-
-// Note: Unfortunately, the transpiled mandelbrot.bf program 
-// is so large that it does not fit inside the limitations of 
-// what the JVM imposes on methods (only 64K of instructions).
-// Therefore some optimisations are first applied to 
-// BF programs before WHILE programs are created. The
-// optimisations are 
-//  
-//  - replacing BF-loops of the form [-] with a new 0-instruction 
-//  - combining single increment/decrement instructions
-//
-// The size of the resulting .j-file is 270K.
-
-
-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 '>' => s"ptr := ptr + $n;"
-  case '<' => s"ptr := ptr - $n;"
-  case '0' => s"mem[ptr] := 0;"
-  case '+' => s"mem[ptr] := mem[ptr] + $n;"
-  case '-' => s"mem[ptr] := mem[ptr] - $n;"
-  case '.' => s"x := mem[ptr]; write(x);" 
-  case '['  => "while (mem[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
-
-// adding the "header" to the BF program
-def bf_str(prog: String) : String = {
-  "new(mem[30000]);" ++
-  "ptr := 15000;" ++
-  instrs2(prog) ++
-  "skip"
-}
-
-
-def bf_run(prog: String, name: String) = {
-  println(s"BF pre-processing of $name")
-  val bf_string = bf_str(prog)
-  println(s"BF parsing (program length ${bf_string.length} characters)")
-  val (time, bf_prog) = 
-    time_needed(1, fastparse.parse(bf_string, Stmts(_)).get.value)
-  println(s"BF generated WHILE program (needed $time secs for parsing)")
-  compile_and_run(bf_prog, name)
-}
-
-// a benchmark program (counts down from 'Z' to 'A')
-@doc(" Benchmark 'Z' to 'A'.")
-@main
-def bfc0() = bf_run(read(pwd / "benchmark.bf"), "bench")
-
-
-@doc(" Sierpinski triangle.")
-@main
-def bfc1() = bf_run(read(pwd / "sierpinski.bf"), "sier")
-
-// Hello World
-val bf2 = """++++++++[>++++[>++>+++>+++>+<<<<-]>+>+>->>+[<]<-]
-      >>.>---.+++++++..+++.>>.<-.<.+++.------.--------.>>+.>++."""
-
-@doc(" Hello world.")
-@main
-def bfc2() = bf_run(bf2, "hello")
-
-// Fibonacci 
-val bf3 = """+++++++++++
-      >+>>>>++++++++++++++++++++++++++++++++++++++++++++
-      >++++++++++++++++++++++++++++++++<<<<<<[>[>>>>>>+>
-      +<<<<<<<-]>>>>>>>[<<<<<<<+>>>>>>>-]<[>++++++++++[-
-      <-[>>+>+<<<-]>>>[<<<+>>>-]+<[>[-]<[-]]>[<<[>>>+<<<
-      -]>>[-]]<<]>>>[>>+>+<<<-]>>>[<<<+>>>-]+<[>[-]<[-]]
-      >[<<+>>[-]]<<<<<<<]>>>>>[+++++++++++++++++++++++++
-      +++++++++++++++++++++++.[-]]++++++++++<[->-<]>++++
-      ++++++++++++++++++++++++++++++++++++++++++++.[-]<<
-      <<<<<<<<<<[>>>+>+<<<<-]>>>>[<<<<+>>>>-]<-[>>.>.<<<
-      [-]]<<[>>+>+<<<-]>>>[<<<+>>>-]<<[<+>-]>[<+>-]<<<-]
-      [-]++++++++++."""
-
-@doc(" Fibonacci numbers.")
-@main
-def bfc3() = bf_run(bf3, "fibs")
-
-// Mandelbrot Set
-//----------------
-//
-// Note: Parsing of the generated WHILE program (around 60K in size)
-// takes approximately 10 minutes to parse with our parser combinators,
-// and approximately 30 seconds with Ammonite's fastparse.
-
-@doc(" Mandelbrot set.")
-@main
-def bfc4() = bf_run(read(pwd / "mandelbrot.bf"), "mandelbrot")
-
-
-// this unfortunately hits the capacity of the JVM, even with optimisations
-//@doc(" Coolatz serries up to 30.")
-//@main
-//def bfc5() = bf_run(read(pwd / "collatz.bf"), "coll")
-
-
-//
-@doc(" All benchmarks.")
-@main
-def all() = { bfc0(); bfc1(); bfc2(); bfc3(); bfc4() } 
-
-
-

Binary file progs/while-compiler-arrays/jasmin.jar has changed

--- a/progs/while-compiler-arrays/mandelbrot.bf	Mon Oct 26 10:24:59 2020 +0000
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,148 +0,0 @@
-// a Mandelbrot set generator in brainf___ written by Erik Bosman
-// (http://esoteric.sange.fi/brainfuck/utils/mandelbrot/)
-
-
-+++++++++++++[->++>>>+++++>++>+<<<<<<]>>>>>++++++>--->>>>>>>>>>+++++++++++++++[[
->>>>>>>>>]+[<<<<<<<<<]>>>>>>>>>-]+[>>>>>>>>[-]>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>[-]+
-<<<<<<<+++++[-[->>>>>>>>>+<<<<<<<<<]>>>>>>>>>]>>>>>>>+>>>>>>>>>>>>>>>>>>>>>>>>>>
->+<<<<<<<<<<<<<<<<<[<<<<<<<<<]>>>[-]+[>>>>>>[>>>>>>>[-]>>]<<<<<<<<<[<<<<<<<<<]>>
->>>>>[-]+<<<<<<++++[-[->>>>>>>>>+<<<<<<<<<]>>>>>>>>>]>>>>>>+<<<<<<+++++++[-[->>>
->>>>>>+<<<<<<<<<]>>>>>>>>>]>>>>>>+<<<<<<<<<<<<<<<<[<<<<<<<<<]>>>[[-]>>>>>>[>>>>>
->>[-<<<<<<+>>>>>>]<<<<<<[->>>>>>+<<+<<<+<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>
-[>>>>>>>>[-<<<<<<<+>>>>>>>]<<<<<<<[->>>>>>>+<<+<<<+<<]>>>>>>>>]<<<<<<<<<[<<<<<<<
-<<]>>>>>>>[-<<<<<<<+>>>>>>>]<<<<<<<[->>>>>>>+<<+<<<<<]>>>>>>>>>+++++++++++++++[[
->>>>>>>>>]+>[-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>-]+[
->+>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>->>>>[-<<<<+>>>>]<<<<[->>>>+<<<<<[->>[
--<<+>>]<<[->>+>>+<<<<]+>>>>>>>>>]<<<<<<<<[<<<<<<<<<]]>>>>>>>>>[>>>>>>>>>]<<<<<<<
-<<[>[->>>>>>>>>+<<<<<<<<<]<<<<<<<<<<]>[->>>>>>>>>+<<<<<<<<<]<+>>>>>>>>]<<<<<<<<<
-[>[-]<->>>>[-<<<<+>[<->-<<<<<<+>>>>>>]<[->+<]>>>>]<<<[->>>+<<<]<+<<<<<<<<<]>>>>>
->>>>[>+>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>->>>>>[-<<<<<+>>>>>]<<<<<[->>>>>+
-<<<<<<[->>>[-<<<+>>>]<<<[->>>+>+<<<<]+>>>>>>>>>]<<<<<<<<[<<<<<<<<<]]>>>>>>>>>[>>
->>>>>>>]<<<<<<<<<[>>[->>>>>>>>>+<<<<<<<<<]<<<<<<<<<<<]>>[->>>>>>>>>+<<<<<<<<<]<<
-+>>>>>>>>]<<<<<<<<<[>[-]<->>>>[-<<<<+>[<->-<<<<<<+>>>>>>]<[->+<]>>>>]<<<[->>>+<<
-<]<+<<<<<<<<<]>>>>>>>>>[>>>>[-<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<+>>>>>>>>>>>>>
->>>>>>>>>>>>>>>>>>>>>>>]>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>+++++++++++++++[[>>>>
->>>>>]<<<<<<<<<-<<<<<<<<<[<<<<<<<<<]>>>>>>>>>-]+>>>>>>>>>>>>>>>>>>>>>+<<<[<<<<<<
-<<<]>>>>>>>>>[>>>[-<<<->>>]+<<<[->>>->[-<<<<+>>>>]<<<<[->>>>+<<<<<<<<<<<<<[<<<<<
-<<<<]>>>>[-]+>>>>>[>>>>>>>>>]>+<]]+>>>>[-<<<<->>>>]+<<<<[->>>>-<[-<<<+>>>]<<<[->
->>+<<<<<<<<<<<<[<<<<<<<<<]>>>[-]+>>>>>>[>>>>>>>>>]>[-]+<]]+>[-<[>>>>>>>>>]<<<<<<
-<<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]<<<<<<<[->+>>>-<<<<]>>>>>>>>>+++++++++++++++++++
-+++++++>>[-<<<<+>>>>]<<<<[->>>>+<<[-]<<]>>[<<<<<<<+<[-<+>>>>+<<[-]]>[-<<[->+>>>-
-<<<<]>>>]>>>>>>>>>>>>>[>>[-]>[-]>[-]>>>>>]<<<<<<<<<[<<<<<<<<<]>>>[-]>>>>>>[>>>>>
-[-<<<<+>>>>]<<<<[->>>>+<<<+<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>>[-<<<<<<<<
-<+>>>>>>>>>]>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>+++++++++++++++[[>>>>>>>>>]+>[-
-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>-]+[>+>>>>>>>>]<<<
-<<<<<<[<<<<<<<<<]>>>>>>>>>[>->>>>>[-<<<<<+>>>>>]<<<<<[->>>>>+<<<<<<[->>[-<<+>>]<
-<[->>+>+<<<]+>>>>>>>>>]<<<<<<<<[<<<<<<<<<]]>>>>>>>>>[>>>>>>>>>]<<<<<<<<<[>[->>>>
->>>>>+<<<<<<<<<]<<<<<<<<<<]>[->>>>>>>>>+<<<<<<<<<]<+>>>>>>>>]<<<<<<<<<[>[-]<->>>
-[-<<<+>[<->-<<<<<<<+>>>>>>>]<[->+<]>>>]<<[->>+<<]<+<<<<<<<<<]>>>>>>>>>[>>>>>>[-<
-<<<<+>>>>>]<<<<<[->>>>>+<<<<+<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>+>>>>>>>>
-]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>->>>>>[-<<<<<+>>>>>]<<<<<[->>>>>+<<<<<<[->>[-<<+
->>]<<[->>+>>+<<<<]+>>>>>>>>>]<<<<<<<<[<<<<<<<<<]]>>>>>>>>>[>>>>>>>>>]<<<<<<<<<[>
-[->>>>>>>>>+<<<<<<<<<]<<<<<<<<<<]>[->>>>>>>>>+<<<<<<<<<]<+>>>>>>>>]<<<<<<<<<[>[-
-]<->>>>[-<<<<+>[<->-<<<<<<+>>>>>>]<[->+<]>>>>]<<<[->>>+<<<]<+<<<<<<<<<]>>>>>>>>>
-[>>>>[-<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<+>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
-]>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>>>[-<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<+>
->>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>]>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>++++++++
-+++++++[[>>>>>>>>>]<<<<<<<<<-<<<<<<<<<[<<<<<<<<<]>>>>>>>>>-]+[>>>>>>>>[-<<<<<<<+
->>>>>>>]<<<<<<<[->>>>>>>+<<<<<<+<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>>>>>>[
--]>>>]<<<<<<<<<[<<<<<<<<<]>>>>+>[-<-<<<<+>>>>>]>[-<<<<<<[->>>>>+<++<<<<]>>>>>[-<
-<<<<+>>>>>]<->+>]<[->+<]<<<<<[->>>>>+<<<<<]>>>>>>[-]<<<<<<+>>>>[-<<<<->>>>]+<<<<
-[->>>>->>>>>[>>[-<<->>]+<<[->>->[-<<<+>>>]<<<[->>>+<<<<<<<<<<<<[<<<<<<<<<]>>>[-]
-+>>>>>>[>>>>>>>>>]>+<]]+>>>[-<<<->>>]+<<<[->>>-<[-<<+>>]<<[->>+<<<<<<<<<<<[<<<<<
-<<<<]>>>>[-]+>>>>>[>>>>>>>>>]>[-]+<]]+>[-<[>>>>>>>>>]<<<<<<<<]>>>>>>>>]<<<<<<<<<
-[<<<<<<<<<]>>>>[-<<<<+>>>>]<<<<[->>>>+>>>>>[>+>>[-<<->>]<<[->>+<<]>>>>>>>>]<<<<<
-<<<+<[>[->>>>>+<<<<[->>>>-<<<<<<<<<<<<<<+>>>>>>>>>>>[->>>+<<<]<]>[->>>-<<<<<<<<<
-<<<<<+>>>>>>>>>>>]<<]>[->>>>+<<<[->>>-<<<<<<<<<<<<<<+>>>>>>>>>>>]<]>[->>>+<<<]<<
-<<<<<<<<<<]>>>>[-]<<<<]>>>[-<<<+>>>]<<<[->>>+>>>>>>[>+>[-<->]<[->+<]>>>>>>>>]<<<
-<<<<<+<[>[->>>>>+<<<[->>>-<<<<<<<<<<<<<<+>>>>>>>>>>[->>>>+<<<<]>]<[->>>>-<<<<<<<
-<<<<<<<+>>>>>>>>>>]<]>>[->>>+<<<<[->>>>-<<<<<<<<<<<<<<+>>>>>>>>>>]>]<[->>>>+<<<<
-]<<<<<<<<<<<]>>>>>>+<<<<<<]]>>>>[-<<<<+>>>>]<<<<[->>>>+>>>>>[>>>>>>>>>]<<<<<<<<<
-[>[->>>>>+<<<<[->>>>-<<<<<<<<<<<<<<+>>>>>>>>>>>[->>>+<<<]<]>[->>>-<<<<<<<<<<<<<<
-+>>>>>>>>>>>]<<]>[->>>>+<<<[->>>-<<<<<<<<<<<<<<+>>>>>>>>>>>]<]>[->>>+<<<]<<<<<<<
-<<<<<]]>[-]>>[-]>[-]>>>>>[>>[-]>[-]>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>>>>>[-<
-<<<+>>>>]<<<<[->>>>+<<<+<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>+++++++++++++++[
-[>>>>>>>>>]+>[-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>-]+
-[>+>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>->>>>[-<<<<+>>>>]<<<<[->>>>+<<<<<[->>
-[-<<+>>]<<[->>+>+<<<]+>>>>>>>>>]<<<<<<<<[<<<<<<<<<]]>>>>>>>>>[>>>>>>>>>]<<<<<<<<
-<[>[->>>>>>>>>+<<<<<<<<<]<<<<<<<<<<]>[->>>>>>>>>+<<<<<<<<<]<+>>>>>>>>]<<<<<<<<<[
->[-]<->>>[-<<<+>[<->-<<<<<<<+>>>>>>>]<[->+<]>>>]<<[->>+<<]<+<<<<<<<<<]>>>>>>>>>[
->>>[-<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<+>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>]>
->>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>[-]>>>>+++++++++++++++[[>>>>>>>>>]<<<<<<<<<-<<<<<
-<<<<[<<<<<<<<<]>>>>>>>>>-]+[>>>[-<<<->>>]+<<<[->>>->[-<<<<+>>>>]<<<<[->>>>+<<<<<
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--- a/progs/while-compiler-arrays/sierpinski.bf	Mon Oct 26 10:24:59 2020 +0000
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,3 +0,0 @@
-++++++++[>+>++++<<-]>++>>+<[-[>>+<<-]+>>]>+[-<<<[
-->[+[-]+>++>>>-<<]<[<]>>++++++[<<+++++>>-]+<<++.[-]<<
-]>.>+[>>]>+]