templates5/bfc.scala
changeset 233 38ea26f227af
child 285 bd9d142d2cd8
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/templates5/bfc.scala	Thu Dec 06 18:37:17 2018 +0000
@@ -0,0 +1,179 @@
+// Part 2 about a "Compiler" for the Brainf*** language
+//======================================================
+
+// !!! Copy any function you need from file bf.scala !!!
+//
+// If you need any auxiliary function, feel free to 
+// implement it, but do not make any changes to the
+// templates below.
+
+def time_needed[T](n: Int, code: => T) = {
+  val start = System.nanoTime()
+  for (i <- 0 until n) code
+  val end = System.nanoTime()
+  (end - start)/(n * 1.0e9)
+}
+
+type Mem = Map[Int, Int]
+
+import io.Source
+import scala.util._
+
+// !! COPY from your bf.scala !!
+
+// def load_bff(name: String) : String = ...
+  
+// def sread(mem: Mem, mp: Int) : Int = ...
+
+// def write(mem: Mem, mp: Int, v: Int) : Mem = ...
+
+// def jumpRight(prog: String, pc: Int, level: Int) : Int = ...
+
+// def jumpLeft(prog: String, pc: Int, level: Int) : Int = ...
+
+// def compute(prog: String, pc: Int, mp: Int, mem: Mem) : Mem = ...
+
+// def run(prog: String, m: Mem = Map()) = 
+
+// The baseline to what we can compare our "compiler"
+// implemented below. It should require something like 
+// 60 seconds for the calculation on my laptop
+//
+//time_needed(1, run(load_bff("benchmark.bf")))
+
+
+// DEBUGGING INFORMATION!!!
+//
+// Compiler, even real ones, are fiendishly difficult to get
+// to produce correct code. The point is that for example for
+// the Sierpinski program, they need to still generate code
+// that displays such a triangle. If yes, then one usually
+// can take comfort that all is well. If not, then something
+// went wrong during the optimisations.
+
+
+// ADVANCED TASKS
+//================
+
+// (5) Write a function jtable that precomputes the "jump
+//     table" for a bf-program. This function takes a bf-program 
+//     as an argument and Returns a Map[Int, Int]. The 
+//     purpose of this map is to record the information
+//     that given on the position pc is a '[' or a ']',
+//     then to which pc-position do we need to jump next?
+// 
+//     For example for the program
+//    
+//       "+++++[->++++++++++<]>--<+++[->>++++++++++<<]>>++<<----------[+>.>.<+<]"
+//
+//     we obtain the map
+//
+//       Map(69 -> 61, 5 -> 20, 60 -> 70, 27 -> 44, 43 -> 28, 19 -> 6)
+//  
+//     This states that for the '[' on position 5, we need to
+//     jump to position 20, which is just after the corresponding ']'.
+//     Similarly, for the ']' on position 19, we need to jump to
+//     position 6, which is just after the '[' on position 5, and so
+//     on. The idea is to not calculate this information each time
+//     we hit a bracket, but just look up this information in the 
+//     jtable. You can use the jumpLeft and jumpRight functions
+//     from Part 1 for calculating the jtable.
+//
+//     Then adapt the compute and run functions from Part 1 in order 
+//     to take advantage of the information stored in the jtable. 
+//     This means whenever jumpLeft and jumpRight was called previously,
+//     you should look up the jump address in the jtable.
+ 
+
+//def jtable(pg: String) : Map[Int, Int] = ...
+
+// testcase
+// jtable("""+++++[->++++++++++<]>--<+++[->>++++++++++<<]>>++<<----------[+>.>.<+<]""")
+// =>  Map(69 -> 61, 5 -> 20, 60 -> 70, 27 -> 44, 43 -> 28, 19 -> 6)
+
+
+//def compute2(pg: String, tb: Map[Int, Int], pc: Int, mp: Int, mem: Mem) : Mem = ...
+
+//def run2(pg: String, m: Mem = Map()) = ... 
+
+
+//testcase
+//time_needed(1, run2(load_bff("benchmark.bf")))
+
+
+
+// (6) Write a function optimise which deletes "dead code" (everything
+// that is not a bf-command) and also replaces substrings of the form
+// [-] by a new command 0. The idea is that the loop [-] just resets the
+// memory at the current location to 0. In the compute3 and run3 functions
+// below you implement this command by writing the number 0 to mem(mp), 
+// that is write(mem, mp, 0). 
+//
+// The easiest way to modify a string in this way is to use the regular
+// expression """[^<>+-.,\[\]]""", which recognises everything that is 
+// not a bf-command and replace it by the empty string. Similarly the
+// regular expression """\[-\]""" finds all occurrences of [-] and 
+// by using the Scala method .replaceAll you can replace it with the 
+// string "0" standing for the new bf-command.
+
+//def optimise(s: String) : String = ...
+
+//def compute3(pg: String, tb: Map[Int, Int], pc: Int, mp: Int, mem: Mem) : Mem = ...
+
+//def run3(pg: String, m: Mem = Map()) = ...
+
+
+// testcases
+
+//optimise(load_bff("benchmark.bf"))          // should have inserted 0's
+//optimise(load_bff("mandelbrot.bf")).length  // => 11203
+ 
+//time_needed(1, run3(load_bff("benchmark.bf")))
+
+
+
+// (7)  Write a function combine which replaces sequences
+// of repeated increment and decrement commands by appropriate
+// two-character commands. For example for sequences of +
+//
+//              orig bf-cmds  | replacement
+//            ------------------------------
+//              +             | +A 
+//              ++            | +B
+//              +++           | +C
+//                            |
+//              ...           |
+//                            | 
+//              +++....+++    | +Z
+//                (where length = 26)
+//
+//  Similar for the bf-command -, > and <. All other commands should
+//  be unaffected by this change.
+//
+//  Adapt the compute4 and run4 functions such that they can deal
+//  appropriately with such two-character commands.
+
+
+//def combine(s: String) : String = ...
+
+
+// testcase
+//combine(load_bff("benchmark.bf"))
+
+//def compute4(pg: String, tb: Map[Int, Int], pc: Int, mp: Int, mem: Mem) : Mem = ...
+
+// should call first optimise and then combine on the input string
+//def run4(pg: String, m: Mem = Map()) = ...
+
+
+// testcases
+//combine(optimise(load_bff("benchmark.bf"))) // => """>A+B[<A+M>A-A]<A[[....."""
+
+//time_needed(1, run4(load_bff("benchmark.bf")))
+
+//time_needed(1, run(load_bff("sierpinski.bf"))) 
+//time_needed(1, run4(load_bff("sierpinski.bf"))) 
+
+//time_needed(1, run4(load_bff("mandelbrot.bf")))
+
+