solutions5/bf.scala
author Christian Urban <urbanc@in.tum.de>
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// Part 1 about an Interpreter for the Brainf*** language
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//========================================================
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object CW10a {  // only for generating the Jar file
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type Mem = Map[Int, Int]
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import io.Source
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import scala.util._
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// (1) Write a function that takes a file name as argument and
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// and requests the corresponding file from disk. It returns the
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// content of the file as a String. If the file does not exists,
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// the function should return the empty string.
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def load_bff(name: String) : String = 
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  Try(Source.fromFile(name)("ISO-8859-1").mkString).getOrElse("")
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// (2) Complete the functions for safely reading  
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// and writing brainf*** memory. Safely read should
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// Return the value stored in the Map for a given memory
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// pointer, provided it exists; otherwise it Returns 0. The
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// writing function generates a new Map with the
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// same data, except at the given memory pointer the
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// value v is stored.
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def sread(mem: Mem, mp: Int) : Int = 
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  mem.getOrElse(mp, 0)
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def write(mem: Mem, mp: Int, v: Int) : Mem =
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  mem.updated(mp, v)
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// (3) Implement the two jumping instructions in the 
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// brainf*** language. In jumpRight, given a program and 
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// a program counter move the program counter to the right 
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// until after the *matching* ]-command. Similarly, 
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// jumpLeft implements the move to the left to just after
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// the *matching* [-command.
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def jumpRight(prog: String, pc: Int, level: Int) : Int = {
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  if (prog.length <= pc) pc 
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  else (prog(pc), level) match {
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    case (']', 0) => pc + 1
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    case (']', l) => jumpRight(prog, pc + 1, l - 1)
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    case ('[', l) => jumpRight(prog, pc + 1, l + 1)
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    case (_, l) => jumpRight(prog, pc + 1, l)
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  }
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}
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def jumpLeft(prog: String, pc: Int, level: Int) : Int = {
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  if (pc < 0) pc 
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  else (prog(pc), level) match {
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    case ('[', 0) => pc + 1
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    case ('[', l) => jumpLeft(prog, pc - 1, l - 1)
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    case (']', l) => jumpLeft(prog, pc - 1, l + 1)
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    case (_, l) => jumpLeft(prog, pc - 1, l)
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  }
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}
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// test cases
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//jumpRight("""--[..+>--],>,++""", 3, 0)         // => 10
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//jumpLeft("""--[..+>--],>,++""", 8, 0)          // => 3
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//jumpRight("""--[..[+>]--],>,++""", 3, 0)       // => 12
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//jumpRight("""--[..[[-]+>[.]]--],>,++""", 3, 0) // => 18
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//jumpRight("""--[..[[-]+>[.]]--,>,++""", 3, 0)  // => 22 (outside)
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//jumpLeft("""[******]***""", 7, 0)              // => -1 (outside)
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// (4) Complete the compute function that interprets (runs) a brainf***
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// program: the arguments are a program (represented as a string), a program 
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// counter, a memory counter and a brainf*** memory. It Returns the
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// memory at the stage when the execution of the brainf*** program
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// finishes. The interpretation finishes once the program counter
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// pc is pointing to something outside the program string.
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// If the pc points to a character inside the program, the pc, 
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// memory pointer and memory need to be updated according to 
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// rules of the brainf*** language. Then, recursively, the compute 
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// function continues with the command at the new program
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// counter. 
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// Implement the run function that calls compute with the program
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// counter and memory counter set to 0.
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def compute(prog: String, pc: Int, mp: Int, mem: Mem) : Mem = {
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  if (0 <= pc && pc < prog.length) { 
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    val (new_pc, new_mp, new_mem) = prog(pc) match {
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      case '>' => (pc + 1, mp + 1, mem)
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      case '<' => (pc + 1, mp - 1, mem)
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      case '+' => (pc + 1, mp, write(mem, mp, sread(mem, mp) + 1))
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      case '-' => (pc + 1, mp, write(mem, mp, sread(mem, mp) - 1))
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      case '.' => { print(sread(mem, mp).toChar); (pc + 1, mp, mem) }
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      case ',' => (pc + 1, mp, write(mem, mp, Console.in.read().toByte))
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      case '['  => 
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	if (sread(mem, mp) == 0) (jumpRight(prog, pc + 1, 0), mp, mem) else (pc + 1, mp, mem) 
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      case ']'  => 
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	if (sread(mem, mp) != 0) (jumpLeft(prog, pc - 1, 0), mp, mem) else (pc + 1, mp, mem) 
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      case _ => (pc + 1, mp, mem)
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    }		     
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    compute(prog, new_pc, new_mp, new_mem)	
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  }
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  else mem
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}
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def run(prog: String, m: Mem = Map()) = compute(prog, 0, 0, m)
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/*
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// some sample bf-programs collected from the Internet
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//=====================================================
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// first some contrived (small) programs
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// clears the 0-cell
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run("[-]", Map(0 -> 100))    // Map will be 0 -> 0
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// copies content of the 0-cell to 1-cell
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run("[->+<]", Map(0 -> 10))  // Map will be 0 -> 0, 1 -> 10
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// copies content of the 0-cell to 2-cell and 4-cell
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run("[>>+>>+<<<<-]", Map(0 -> 42))
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// prints out numbers 0 to 9
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run("""+++++[->++++++++++<]>--<+++[->>++++++++++<<]>>++<<----------[+>.>.<+<]""")
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// some more "useful" programs
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// hello world program 1
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run("""++++++++[>++++[>++>+++>+++>+<<<<-]>+>+>->>+[<]<-]>>.>---.+++++++
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       ..+++.>>.<-.<.+++.------.--------.>>+.>++.""")
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// hello world program 2
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run("""++++++++++[>+++++++>++++++++++>+++>+<<<<-]>++.>+.+++++++..+++.>+
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      +.<<+++++++++++++++.>.+++.------.--------.>+.>.""")
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// draws the Sierpinski triangle
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run("""++++++++[>+>++++<<-]>++>>+<[-[>>+<<-]+>>]>+[-<<<[
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      ->[+[-]+>++>>>-<<]<[<]>>++++++[<<+++++>>-]+<<++.[-]<<
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      ]>.>+[>>]>+]""")
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run(load_bff("sierpinski.bf"))
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//fibonacci numbers below 100
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run("""+++++++++++
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      >+>>>>++++++++++++++++++++++++++++++++++++++++++++
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      >++++++++++++++++++++++++++++++++<<<<<<[>[>>>>>>+>
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      +<<<<<<<-]>>>>>>>[<<<<<<<+>>>>>>>-]<[>++++++++++[-
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      <-[>>+>+<<<-]>>>[<<<+>>>-]+<[>[-]<[-]]>[<<[>>>+<<<
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      -]>>[-]]<<]>>>[>>+>+<<<-]>>>[<<<+>>>-]+<[>[-]<[-]]
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      >[<<+>>[-]]<<<<<<<]>>>>>[+++++++++++++++++++++++++
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      +++++++++++++++++++++++.[-]]++++++++++<[->-<]>++++
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      ++++++++++++++++++++++++++++++++++++++++++++.[-]<<
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      <<<<<<<<<<[>>>+>+<<<<-]>>>>[<<<<+>>>>-]<-[>>.>.<<<
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      [-]]<<[>>+>+<<<-]>>>[<<<+>>>-]<<[<+>-]>[<+>-]<<<-]""")
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//outputs the square numbers up to 10000
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run("""++++[>+++++<-]>[<+++++>-]+<+[
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    >[>+>+<<-]++>>[<<+>>-]>>>[-]++>[-]+
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    >>>+[[-]++++++>>>]<<<[[<++++++++<++>>-]+<.<[>----<-]<]
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    <<[>>>>>[>>>[-]+++++++++<[>-<-]+++++++++>[-[<->-]+[<<<]]<[>+<-]>]<<-]<<-]""")
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//collatz numbers (needs a number to be typed in)
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run(""">,[[----------[
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      >>>[>>>>]+[[-]+<[->>>>++>>>>+[>>>>]++[->+<<<<<]]<<<]
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      ++++++[>------<-]>--[>>[->>>>]+>+[<<<<]>-],<]>]>>>++>+>>[
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      <<[>>>>[-]+++++++++<[>-<-]+++++++++>[-[<->-]+[<<<<]]<[>+<-]>]
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      >[>[>>>>]+[[-]<[+[->>>>]>+<]>[<+>[<<<<]]+<<<<]>>>[->>>>]+>+[<<<<]]
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      >[[>+>>[<<<<+>>>>-]>]<<<<[-]>[-<<<<]]>>>>>>>
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      ]>>+[[-]++++++>>>>]<<<<[[<++++++++>-]<.[-]<[-]<[-]<]<,]""")
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// infinite collatz (never stops)
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run(""">>+>+<[[->>[>>]>>>[>>]+[<<]<<<[<<]>[>[>>]>>+>[>>]<+<[<<]<<<[<
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      <]>-]>[>>]>>[<<<<[<<]>+>[>>]>>-]<<<<[<<]+>>]<<[+++++[>+++++++
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      +<-]>.<++++++[>--------<-]+<<]>>[>>]+[>>>>[<<+>+>-]<-[>+<-]+<
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      [<<->>-[<<+>>[-]]]>>>[<<<+<<+>>>>>-]<<<[>>>+<<<-]<<[[-]>+>>->
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      [<+<[<<+>>-]<[>+<-]<[>+<-]>>>>-]<[>+<-]+<[->[>>]<<[->[<+++>-[
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      <+++>-[<+++>-[<[-]++>>[-]+>+<<-[<+++>-[<+++>-[<[-]+>>>+<<-[<+
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      ++>-[<+++>-]]]]]]]]]<[>+<-]+<<]>>>+<[->[<+>-[<+>-[<+>-[<+>-[<
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      +>-[<+>-[<+>-[<+>-[<+>-[<[-]>>[-]+>+<<-[<+>-]]]]]]]]]]]<[>+<-
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      ]+>>]<<[<<]>]<[->>[->+>]<[-[<+>-[<->>+<-[<+>-[<->>+<-[<+>-[<-
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      >>+<-[<+>-[<->>+<-[<+>-[<->>+<-[<+>-[<->>+<-[<+>-[<->>+<-[<+>
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      -[<->>+<-[<+>-[<->>+<-[<+>-]]]]]]]]]]]]]]]]]]]>[<+>-]<+<[<+++
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      +++++++>-]<]>>[<+>->>]<<[>+>+<<-]>[<+>-]+>[<->[-]]<[-<<-]<<[<
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      <]]++++++[>+++++++<-]>++.------------.[-]>[>>]<<[+++++[>+++++
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      +++<-]>.<++++++[>--------<-]+<<]+<]>[<+>-]<]>>>[>>]<<[>[-]<-<
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      <]++++++++++.[-]<<<[<<]>>>+<[->[<+>-[<+>-[<+>-[<+>-[<+>-[<+>-
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      [<+>-[<+>-[<+>-[<[-]>>[-]+>+<<-]]]]]]]]]]<[>+<-]+>>]<<[<<]>>]""")
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// a Mandelbrot set generator in brainf*** written by Erik Bosman
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// (http://esoteric.sange.fi/brainfuck/utils/mandelbrot/)
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run(load_bff("mandelbrot.bf"))
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// a benchmark program (counts down from 'Z' to 'A')
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val b1 = """>++[<+++++++++++++>-]<[[>+>+<<-]>[<+>-]++++++++
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            [>++++++++<-]>.[-]<<>++++++++++[>++++++++++[>++
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            ++++++++[>++++++++++[>++++++++++[>++++++++++[>+
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            +++++++++[-]<-]<-]<-]<-]<-]<-]<-]++++++++++."""
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def time_needed[T](n: Int, code: => T) = {
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  val start = System.nanoTime()
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  for (i <- 0 until n) code
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  val end = System.nanoTime()
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  (end - start)/(n * 1.0e9)
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}
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time_needed(1, run(b1))
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*/
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}