--- a/progs/compile_arr.scala Sun Nov 17 23:53:54 2019 +0000
+++ b/progs/compile_arr.scala Mon Nov 18 11:11:11 2019 +0000
@@ -1,5 +1,6 @@
// A Small Compiler for the WHILE Language
-// (stub for including arrays)
+// - includes arrays and a small parser for
+// translated BF programs
// the abstract syntax trees
abstract class Stmt
@@ -9,18 +10,19 @@
// 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 // writes out a variable
-case class Array(s: String, n: Int) 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, a1: AExp) extends AExp
+case class Ref(s: String, a: AExp) extends AExp
// boolean expressions
case object True extends BExp
@@ -45,11 +47,45 @@
.limit stack 2
getstatic java/lang/System/out Ljava/io/PrintStream;
iload 0
- i2c
- invokevirtual java/io/PrintStream/print(C)V
+ i2c ; Int => Char
+ invokevirtual java/io/PrintStream/print(C)V ; println(I)V => 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
@@ -63,7 +99,7 @@
.end method
"""
-println("Start compilation")
+
// for generating new labels
@@ -75,47 +111,52 @@
}
// environments and instructions
-type Env = Map[String, String]
-type Instrs = List[String]
+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) : Instrs = a match {
- case Num(i) => List("ldc " + i.toString + "\n")
- case Var(s) => List("iload " + env(s) + "\n")
- case Aop("+", a1, a2) =>
- compile_aexp(a1, env) ++
- compile_aexp(a2, env) ++ List("iadd\n")
- case Aop("-", a1, a2) =>
- compile_aexp(a1, env) ++ compile_aexp(a2, env) ++ List("isub\n")
- case Aop("*", a1, a2) =>
- compile_aexp(a1, env) ++ compile_aexp(a2, env) ++ List("imul\n")
- case Ref(s, a1) =>
- List("aload " + env(s) + "\n") ++ compile_aexp(a1, env) ++ List("iaload \n")
+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) : Instrs = b match {
- case True => Nil
- case False => List("goto " + jmp + "\n")
- case Bop("=", a1, a2) =>
- compile_aexp(a1, env) ++ compile_aexp(a2, env) ++
- List("if_icmpne " + jmp + "\n")
+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) ++
- List("if_icmpeq " + jmp + "\n")
+ compile_aexp(a1, env) ++ compile_aexp(a2, env) ++ i"if_icmpeq $jmp"
case Bop("<", a1, a2) =>
- compile_aexp(a1, env) ++ compile_aexp(a2, env) ++
- List("if_icmpge " + jmp + "\n")
+ compile_aexp(a1, env) ++ compile_aexp(a2, env) ++ i"if_icmpge $jmp"
}
// statement compilation
-def compile_stmt(s: Stmt, env: Env) : (Instrs, Env) = s match {
- case Skip => (Nil, env)
+def compile_stmt(s: Stmt, env: Env) : (String, Env) = s match {
+ case Skip => ("", env)
case Assign(x, a) => {
- val index = if (env.isDefinedAt(x)) env(x) else
- env.keys.size.toString
- (compile_aexp(a, env) ++
- List("istore " + index + "\n"), env + (x -> index))
+ 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")
@@ -124,44 +165,49 @@
val (instrs2, env2) = compile_block(bl2, env1)
(compile_bexp(b, env, if_else) ++
instrs1 ++
- List("goto " + if_end + "\n") ++
- List("\n" + if_else + ":\n\n") ++
+ i"goto $if_end" ++
+ l"$if_else" ++
instrs2 ++
- List("\n" + if_end + ":\n\n"), env2)
+ l"$if_end", env2)
}
case While(b, bl) => {
val loop_begin = Fresh("Loop_begin")
val loop_end = Fresh("Loop_end")
val (instrs1, env1) = compile_block(bl, env)
- (List("\n" + loop_begin + ":\n\n") ++
+ (l"$loop_begin" ++
compile_bexp(b, env, loop_end) ++
instrs1 ++
- List("goto " + loop_begin + "\n") ++
- List("\n" + loop_end + ":\n\n"), env1)
+ i"goto $loop_begin" ++
+ l"$loop_end", env1)
}
case Write(x) =>
- (List("iload " + env(x) + "\n" +
- "invokestatic XXX/XXX/write(I)V\n"), env)
- case Array(s, n) => {
- val index = if (env.isDefinedAt(s)) throw new Exception("Array already defined") else
- env.keys.size.toString
- (List("ldc " ++ n.toString ++ "\n",
- "newarray int \n",
- "astore " ++ index ++ "\n"), env + (s -> index))
- }
+ (i"iload ${env(x)} \t\t; $x" ++
+ i"invokestatic XXX/XXX/write(I)V", env)
+ case Read(x) => {
+ val index = env.getOrElse(x, env.keys.size)
+ (i"invokestatic XXX/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 yet defined")
- (List("aload " + index + "\n") ++
+ throw new Exception("array not defined")
+ (i"aload ${env(s)}" ++
compile_aexp(a1, env) ++
compile_aexp(a2, env) ++
- List("iastore \n"), env)
+ i"iastore", env)
}
}
// compilation of a block (i.e. list of instructions)
-def compile_block(bl: Block, env: Env) : (Instrs, Env) = bl match {
- case Nil => (Nil, env)
+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)
@@ -169,6 +215,7 @@
}
}
+
// main compilation function for blocks
def compile(bl: Block, class_name: String) : String = {
val instructions = compile_block(bl, Map.empty)._1
@@ -176,9 +223,25 @@
}
-// compiling and running files
-//
-// JVM files can be assembled with
+// 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
//
@@ -186,8 +249,6 @@
//
// java fib/fib
-
-
import scala.util._
import scala.sys.process._
import scala.io
@@ -221,36 +282,19 @@
}
-// Fibonacci numbers as a test-case
-val fib_test =
- List(Assign("n", Num(10)), // n := 10;
- 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
+
+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(fib_test, "fib")
-
-
-val arr_test =
- List(Array("a", 10), // a[10]
- Array("b", 2), // b[2]
- AssignA("a", Num(0), Num(10)), // a[0] := 10
- Assign("x", Ref("a", Num(0))), // x := a[0]
- Write("x"), // write x
- AssignA("b", Num(1), Num(5)), // b[1] := 5
- Assign("x", Ref("b", Num(1))), // x := b[1]
- Write("x")) // write x
-
-compile_run(arr_test, "a")
-
+//compile_run(arr_test, "a")
//====================
// Parser Combinators
@@ -259,25 +303,26 @@
import scala.language.implicitConversions
import scala.language.reflectiveCalls
+type IsSeq[A] = A => Seq[_]
-abstract class Parser[I <% Seq[_], T] {
+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 <% Seq[_], T, S](p: => Parser[I, T], q: => Parser[I, S]) extends Parser[I, (T, S)] {
+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 <% Seq[_], T](p: => Parser[I, T], q: => Parser[I, T]) extends Parser[I, T] {
+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 <% Seq[_], T, S](p: => Parser[I, T], f: T => S) extends Parser[I, S] {
+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)
}
@@ -296,7 +341,7 @@
implicit def string2parser(s : String) = StringParser(s)
-implicit def ParserOps[I<% Seq[_], T](p: Parser[I, T]) = new {
+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)
@@ -361,11 +406,11 @@
("{" ~ 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}")
+//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}")
@@ -436,19 +481,28 @@
"\n" ++
//"new field[30000];\n" ++
"ptr := 15000;" ++
- instrs2(prog) ++
+ instrs(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("BF Compile start")
+ 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 = """++++++++[>+>++++<<-]>++>>+<[-[>>+<<-]+>>]>+[-<<<[
@@ -460,7 +514,8 @@
bf_run("""++++++++[>++++[>++>+++>+++>+<<<<-]>+>+>->>+[<]<-]>>.>---.+++++++
..+++.>>.<-.<.+++.------.--------.>>+.>++.""", "hello")
-bf_run("""+++++++++++
+
+val bf2 = """+++++++++++
>+>>>>++++++++++++++++++++++++++++++++++++++++++++
>++++++++++++++++++++++++++++++++<<<<<<[>[>>>>>>+>
+<<<<<<<-]>>>>>>>[<<<<<<<+>>>>>>>-]<[>++++++++++[-
@@ -470,4 +525,154 @@
+++++++++++++++++++++++.[-]]++++++++++<[->-<]>++++
++++++++++++++++++++++++++++++++++++++++++++.[-]<<
<<<<<<<<<<[>>>+>+<<<<-]>>>>[<<<<+>>>>-]<-[>>.>.<<<
- [-]]<<[>>+>+<<<-]>>>[<<<+>>>-]<<[<+>-]>[<+>-]<<<-]""", "fibs")
+ [-]]<<[>>+>+<<<-]>>>[<<<+>>>-]<<[<+>-]>[<+>-]<<<-]"""
+
+bf_run(bf2, "fibs")
+
+
+bf_run(""" A mandelbrot set fractal viewer in brainf*** written by Erik Bosman
++++++++++++++[->++>>>+++++>++>+<<<<<<]>>>>>++++++>--->>>>>>>>>>+++++++++++++++[[
+>>>>>>>>>]+[<<<<<<<<<]>>>>>>>>>-]+[>>>>>>>>[-]>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>[-]+
+<<<<<<<+++++[-[->>>>>>>>>+<<<<<<<<<]>>>>>>>>>]>>>>>>>+>>>>>>>>>>>>>>>>>>>>>>>>>>
+>+<<<<<<<<<<<<<<<<<[<<<<<<<<<]>>>[-]+[>>>>>>[>>>>>>>[-]>>]<<<<<<<<<[<<<<<<<<<]>>
+>>>>>[-]+<<<<<<++++[-[->>>>>>>>>+<<<<<<<<<]>>>>>>>>>]>>>>>>+<<<<<<+++++++[-[->>>
+>>>>>>+<<<<<<<<<]>>>>>>>>>]>>>>>>+<<<<<<<<<<<<<<<<[<<<<<<<<<]>>>[[-]>>>>>>[>>>>>
+>>[-<<<<<<+>>>>>>]<<<<<<[->>>>>>+<<+<<<+<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>
+[>>>>>>>>[-<<<<<<<+>>>>>>>]<<<<<<<[->>>>>>>+<<+<<<+<<]>>>>>>>>]<<<<<<<<<[<<<<<<<
+<<]>>>>>>>[-<<<<<<<+>>>>>>>]<<<<<<<[->>>>>>>+<<+<<<<<]>>>>>>>>>+++++++++++++++[[
+>>>>>>>>>]+>[-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>-]+[
+>+>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>->>>>[-<<<<+>>>>]<<<<[->>>>+<<<<<[->>[
+-<<+>>]<<[->>+>>+<<<<]+>>>>>>>>>]<<<<<<<<[<<<<<<<<<]]>>>>>>>>>[>>>>>>>>>]<<<<<<<
+<<[>[->>>>>>>>>+<<<<<<<<<]<<<<<<<<<<]>[->>>>>>>>>+<<<<<<<<<]<+>>>>>>>>]<<<<<<<<<
+[>[-]<->>>>[-<<<<+>[<->-<<<<<<+>>>>>>]<[->+<]>>>>]<<<[->>>+<<<]<+<<<<<<<<<]>>>>>
+>>>>[>+>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>->>>>>[-<<<<<+>>>>>]<<<<<[->>>>>+
+<<<<<<[->>>[-<<<+>>>]<<<[->>>+>+<<<<]+>>>>>>>>>]<<<<<<<<[<<<<<<<<<]]>>>>>>>>>[>>
+>>>>>>>]<<<<<<<<<[>>[->>>>>>>>>+<<<<<<<<<]<<<<<<<<<<<]>>[->>>>>>>>>+<<<<<<<<<]<<
++>>>>>>>>]<<<<<<<<<[>[-]<->>>>[-<<<<+>[<->-<<<<<<+>>>>>>]<[->+<]>>>>]<<<[->>>+<<
+<]<+<<<<<<<<<]>>>>>>>>>[>>>>[-<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<+>>>>>>>>>>>>>
+>>>>>>>>>>>>>>>>>>>>>>>]>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>+++++++++++++++[[>>>>
+>>>>>]<<<<<<<<<-<<<<<<<<<[<<<<<<<<<]>>>>>>>>>-]+>>>>>>>>>>>>>>>>>>>>>+<<<[<<<<<<
+<<<]>>>>>>>>>[>>>[-<<<->>>]+<<<[->>>->[-<<<<+>>>>]<<<<[->>>>+<<<<<<<<<<<<<[<<<<<
+<<<<]>>>>[-]+>>>>>[>>>>>>>>>]>+<]]+>>>>[-<<<<->>>>]+<<<<[->>>>-<[-<<<+>>>]<<<[->
+>>+<<<<<<<<<<<<[<<<<<<<<<]>>>[-]+>>>>>>[>>>>>>>>>]>[-]+<]]+>[-<[>>>>>>>>>]<<<<<<
+<<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]<<<<<<<[->+>>>-<<<<]>>>>>>>>>+++++++++++++++++++
++++++++>>[-<<<<+>>>>]<<<<[->>>>+<<[-]<<]>>[<<<<<<<+<[-<+>>>>+<<[-]]>[-<<[->+>>>-
+<<<<]>>>]>>>>>>>>>>>>>[>>[-]>[-]>[-]>>>>>]<<<<<<<<<[<<<<<<<<<]>>>[-]>>>>>>[>>>>>
+[-<<<<+>>>>]<<<<[->>>>+<<<+<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>>[-<<<<<<<<
+<+>>>>>>>>>]>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>+++++++++++++++[[>>>>>>>>>]+>[-
+]>[-]>[-]>[-]>[-]>[-]>[-]>[-]>[-]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>-]+[>+>>>>>>>>]<<<
+<<<<<<[<<<<<<<<<]>>>>>>>>>[>->>>>>[-<<<<<+>>>>>]<<<<<[->>>>>+<<<<<<[->>[-<<+>>]<
+<[->>+>+<<<]+>>>>>>>>>]<<<<<<<<[<<<<<<<<<]]>>>>>>>>>[>>>>>>>>>]<<<<<<<<<[>[->>>>
+>>>>>+<<<<<<<<<]<<<<<<<<<<]>[->>>>>>>>>+<<<<<<<<<]<+>>>>>>>>]<<<<<<<<<[>[-]<->>>
+[-<<<+>[<->-<<<<<<<+>>>>>>>]<[->+<]>>>]<<[->>+<<]<+<<<<<<<<<]>>>>>>>>>[>>>>>>[-<
+<<<<+>>>>>]<<<<<[->>>>>+<<<<+<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>+>>>>>>>>
+]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>->>>>>[-<<<<<+>>>>>]<<<<<[->>>>>+<<<<<<[->>[-<<+
+>>]<<[->>+>>+<<<<]+>>>>>>>>>]<<<<<<<<[<<<<<<<<<]]>>>>>>>>>[>>>>>>>>>]<<<<<<<<<[>
+[->>>>>>>>>+<<<<<<<<<]<<<<<<<<<<]>[->>>>>>>>>+<<<<<<<<<]<+>>>>>>>>]<<<<<<<<<[>[-
+]<->>>>[-<<<<+>[<->-<<<<<<+>>>>>>]<[->+<]>>>>]<<<[->>>+<<<]<+<<<<<<<<<]>>>>>>>>>
+[>>>>[-<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<+>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
+]>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>>>[-<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<+>
+>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>]>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>++++++++
++++++++[[>>>>>>>>>]<<<<<<<<<-<<<<<<<<<[<<<<<<<<<]>>>>>>>>>-]+[>>>>>>>>[-<<<<<<<+
+>>>>>>>]<<<<<<<[->>>>>>>+<<<<<<+<]>>>>>>>>]<<<<<<<<<[<<<<<<<<<]>>>>>>>>>[>>>>>>[
+-]>>>]<<<<<<<<<[<<<<<<<<<]>>>>+>[-<-<<<<+>>>>>]>[-<<<<<<[->>>>>+<++<<<<]>>>>>[-<
+<<<<+>>>>>]<->+>]<[->+<]<<<<<[->>>>>+<<<<<]>>>>>>[-]<<<<<<+>>>>[-<<<<->>>>]+<<<<
+[->>>>->>>>>[>>[-<<->>]+<<[->>->[-<<<+>>>]<<<[->>>+<<<<<<<<<<<<[<<<<<<<<<]>>>[-]
++>>>>>>[>>>>>>>>>]>+<]]+>>>[-<<<->>>]+<<<[->>>-<[-<<+>>]<<[->>+<<<<<<<<<<<[<<<<<
+<<<<]>>>>[-]+>>>>>[>>>>>>>>>]>[-]+<]]+>[-<[>>>>>>>>>]<<<<<<<<]>>>>>>>>]<<<<<<<<<
+[<<<<<<<<<]>>>>[-<<<<+>>>>]<<<<[->>>>+>>>>>[>+>>[-<<->>]<<[->>+<<]>>>>>>>>]<<<<<
+<<<+<[>[->>>>>+<<<<[->>>>-<<<<<<<<<<<<<<+>>>>>>>>>>>[->>>+<<<]<]>[->>>-<<<<<<<<<
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