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// Main Part 5 about a "Compiler" for the Brainf*** language
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//============================================================
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object M5b {
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// !!! Copy any function you need from file bf.scala !!!
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//
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// If you need any auxiliary function, feel free to
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// implement it, but do not make any changes to the
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// templates below.
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// DEBUGGING INFORMATION FOR COMPILERS!!!
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//
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// Compiler, even real ones, are fiendishly difficult to get
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// to produce correct code. One way to debug them is to run
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// example programs ``unoptimised''; and then optimised. Does
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// the optimised version still produce the same result?
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// for timing purposes
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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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type Mem = Map[Int, Int]
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import scala.io.Source
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import scala.util._
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// ADD YOUR CODE BELOW
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//======================
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def sread(mem: Mem, mp: Int) : Int = mem.getOrElse(mp, 0)
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def write(mem: Mem, mp: Int, v: Int) : Mem = mem + (mp -> v)
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// (6)
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def empty_stack(len : Int, st : List[Int]) : Map[Int, Int] = st match {
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case Nil => Map()
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case n :: tail => empty_stack(len, tail) + (n -> len)
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}
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def jtable_helper(pg : List[Char], st : List[Int] = List(), index : Int = 0) : Map[Int, Int] = pg match {
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case Nil => empty_stack(pg.length, st)
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case '[' :: tail => jtable_helper(tail, index :: st, index + 1)
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case ']' :: tail => st match {
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case Nil => jtable_helper(tail, st, index + 1) + (index -> -1)
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case n :: stail => jtable_helper(tail, stail, index + 1) + (n -> (index + 1)) + (index -> (n + 1))
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}
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case _ :: tail => jtable_helper(tail, st, index + 1)
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}
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def jtable(pg: String) : Map[Int, Int] = jtable_helper(pg.toList)
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// testcase
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//
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// jtable("""+++++[->++++++++++<]>--<+++[->>++++++++++<<]>>++<<----------[+>.>.<+<]""")
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// => Map(69 -> 61, 5 -> 20, 60 -> 70, 27 -> 44, 43 -> 28, 19 -> 6)
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def compute2(prog: String, tb: Map[Int, Int], pc: Int, mp: Int, mem: Mem) : Mem =
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if (pc < 0 || pc >= prog.length) mem else prog.charAt(pc) match {
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case '>' => compute2(prog, tb, pc+1, mp+1, mem)
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case '<' => compute2(prog, tb, pc+1, mp-1, mem)
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case '+' => compute2(prog, tb, pc+1, mp, mem + (mp -> (sread(mem, mp) + 1)))
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case '-' => compute2(prog, tb, pc+1, mp, mem + (mp -> (sread(mem, mp) - 1)))
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case '.' => print(sread(mem, mp).toChar); compute2(prog, tb, pc+1, mp, mem)
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case '[' => if (sread(mem, mp) == 0) compute2(prog, tb, tb.getOrElse(pc, -2), mp, mem)
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else compute2(prog, tb, pc+1, mp, mem)
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case ']' => if (sread(mem, mp) == 0) compute2(prog, tb, pc+1, mp, mem)
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else compute2(prog, tb, tb.getOrElse(pc, -2), mp, mem)
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case _ => compute2(prog, tb, pc+1, mp, mem)
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}
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def run2(prog: String, m: Mem = Map()) = compute2(prog, jtable(prog), 0, 0, m)
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// testcases
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// time_needed(1, run2(load_bff("benchmark.bf")))
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// time_needed(1, run2(load_bff("sierpinski.bf")))
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// (7)
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def optimise(s: String) : String =
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s.filter(List('>', '<', '+', '-', '[', ']', '.').contains(_)).replaceAllLiterally("[-]", "0")
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def compute3(prog: String, tb: Map[Int, Int], pc: Int, mp: Int, mem: Mem) : Mem =
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if (pc < 0 || pc >= prog.length) mem else prog.charAt(pc) match {
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case '>' => compute3(prog, tb, pc+1, mp+1, mem)
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case '<' => compute3(prog, tb, pc+1, mp-1, mem)
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case '+' => compute3(prog, tb, pc+1, mp, mem + (mp -> (sread(mem, mp) + 1)))
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case '-' => compute3(prog, tb, pc+1, mp, mem + (mp -> (sread(mem, mp) - 1)))
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case '.' => print(sread(mem, mp).toChar); compute3(prog, tb, pc+1, mp, mem)
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case '[' => if (sread(mem, mp) == 0) compute3(prog, tb, tb.getOrElse(pc, -2), mp, mem)
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else compute3(prog, tb, pc+1, mp, mem)
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case ']' => if (sread(mem, mp) == 0) compute3(prog, tb, pc+1, mp, mem)
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else compute3(prog, tb, tb.getOrElse(pc, -2), mp, mem)
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case '0' => compute3(prog, tb, pc+1, mp, mem + (mp -> 0))
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case _ => compute3(prog, tb, pc+1, mp, mem)
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}
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def run3(prog: String, m: Mem = Map()) =
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val optimized = optimise(prog)
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compute3(optimized, jtable(optimized), 0, 0, m)
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// testcases
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//
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// optimise(load_bff("benchmark.bf")) // should have inserted 0's
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// optimise(load_bff("mandelbrot.bf")).length // => 11205 // this is wrong, it's 11203!
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//
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// time_needed(1, run3(load_bff("benchmark.bf")))
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// (8)
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def combine_helper(c : String, s : String) : String =
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val temp1 = s.replaceAllLiterally(c*26, c ++ "Z").replaceAllLiterally(c*25, c ++ "Y").replaceAllLiterally(c*24, c ++ "X").replaceAllLiterally(c*23, c ++ "W")
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val temp2 = temp1.replaceAllLiterally(c*22, c ++ "V").replaceAllLiterally(c*21, c ++ "U").replaceAllLiterally(c*20, c ++ "T").replaceAllLiterally(c*19, c ++ "S")
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val temp3 = temp2.replaceAllLiterally(c*18, c ++ "R").replaceAllLiterally(c*17, c ++ "Q").replaceAllLiterally(c*16, c ++ "P").replaceAllLiterally(c*15, c ++ "O")
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val temp4 = temp3.replaceAllLiterally(c*14, c ++ "N").replaceAllLiterally(c*13, c ++ "M").replaceAllLiterally(c*12, c ++ "L").replaceAllLiterally(c*11, c ++ "K")
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val temp5 = temp4.replaceAllLiterally(c*10, c ++ "J").replaceAllLiterally(c*9, c ++ "I").replaceAllLiterally(c*8, c ++ "H").replaceAllLiterally(c*7, c ++ "G")
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val temp6 = temp5.replaceAllLiterally(c*6, c ++ "F").replaceAllLiterally(c*5, c ++ "E").replaceAllLiterally(c*4, c ++ "D").replaceAllLiterally(c*3, c ++ "C")
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val temp7 = temp6.replaceAllLiterally(c*2, c ++ "B").replaceAllLiterally(c ++ ">", c ++ "A>").replaceAllLiterally(c ++ "<", c ++ "A<")
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val temp8 = temp7.replaceAllLiterally(c ++ "+", c ++ "A+").replaceAllLiterally(c ++ "-", c ++ "A-").replaceAllLiterally(c ++ "[", c ++ "A[")
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temp8.replaceAllLiterally(c ++ "]", c ++ "A]").replaceAllLiterally(c ++ ".", c ++ "A.").replaceAllLiterally(c ++ "0", c ++ "A0")
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def combine(s: String) : String =
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val temp1 = combine_helper(">", s)
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val temp2 = combine_helper("<", temp1)
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val temp3 = combine_helper("+", temp2)
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val temp4 = combine_helper("-", temp3)
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temp4
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// testcase
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// combine(load_bff("benchmark.bf"))
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def compute4(prog: String, tb: Map[Int, Int], pc: Int, mp: Int, mem: Mem) : Mem = if (pc < 0 || pc >= prog.length) mem else prog.charAt(pc) match {
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case '>' => val n = (prog.charAt(pc+1).toInt - 64)
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compute4(prog, tb, pc+1, mp+n, mem)
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case '<' => val n = (prog.charAt(pc+1).toInt - 64)
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compute4(prog, tb, pc+1, mp-n, mem)
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case '+' => val n = (prog.charAt(pc+1).toInt - 64)
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compute4(prog, tb, pc+1, mp, mem + (mp -> (sread(mem, mp) + n)))
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case '-' => val n = (prog.charAt(pc+1).toInt - 64)
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compute4(prog, tb, pc+1, mp, mem + (mp -> (sread(mem, mp) - n)))
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case '.' => print(sread(mem, mp).toChar); compute4(prog, tb, pc+1, mp, mem)
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case '[' => if (sread(mem, mp) == 0) compute4(prog, tb, tb.getOrElse(pc, -2), mp, mem)
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else compute4(prog, tb, pc+1, mp, mem)
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case ']' => if (sread(mem, mp) == 0) compute4(prog, tb, pc+1, mp, mem)
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else compute4(prog, tb, tb.getOrElse(pc, -2), mp, mem)
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case '0' => compute4(prog, tb, pc+1, mp, mem + (mp -> 0))
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case _ => compute4(prog, tb, pc+1, mp, mem)
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}
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// should call first optimise and then combine on the input string
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//
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def run4(prog: String, m: Mem = Map()) =
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val optimized = combine(optimise(prog))
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compute4(optimized, jtable(optimized), 0, 0, m)
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// testcases
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// combine(optimise(load_bff("benchmark.bf"))) // => """>A+B[<A+M>A-A]<A[[....."""
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// testcases (they should now run much faster)
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// time_needed(1, run4(load_bff("benchmark.bf")))
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// time_needed(1, run4(load_bff("sierpinski.bf")))
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// time_needed(1, run4(load_bff("mandelbrot.bf")))
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}
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