73 }  | 
    73 }  | 
    74   | 
    74   | 
    75 def run(prog: String, m: Mem = Map()) = compute(prog, 0, 0, m)  | 
    75 def run(prog: String, m: Mem = Map()) = compute(prog, 0, 0, m)  | 
    76   | 
    76   | 
    77   | 
    77   | 
    78 // The baseline to what we compare our "compiler";  | 
    78 // The baseline to what we can compare our "compiler"  | 
    79 // it requires something like 60 seconds on my laptop  | 
    79 // implemented below. It should require something like   | 
         | 
    80 // 60 seconds for the calculation on my laptop  | 
    80 //  | 
    81 //  | 
    81 //time_needed(1, run(load_bff("benchmark.bf"))) | 
    82 //time_needed(1, run(load_bff("benchmark.bf"))) | 
    82   | 
    83   | 
         | 
    84   | 
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    85   | 
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    86 // DEBUGGING INFORMATION!!!  | 
         | 
    87 //  | 
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    88 // Compiler, even real ones, are fiedishly difficult to get  | 
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    89 // to prduce correct code. The point is that for example for  | 
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    90 // the sierpinski program, they need to still generate code  | 
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    91 // that displays such a triangle. If yes, then one usually  | 
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    92 // can take comfort that all is well. If not, then something  | 
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    93 // went wrong during the optimisations.  | 
    83   | 
    94   | 
    84   | 
    95   | 
    85   | 
    96   | 
    86 // (5) Write a function jtable that precomputes the "jump  | 
    97 // (5) Write a function jtable that precomputes the "jump  | 
    87 //     table" for a bf-program. This function takes a bf-program   | 
    98 //     table" for a bf-program. This function takes a bf-program   | 
    88 //     as an argument and Returns a Map[Int, Int]. The   | 
    99 //     as an argument and Returns a Map[Int, Int]. The   | 
    89 //     purpose of this map is to record the information  | 
   100 //     purpose of this map is to record the information  | 
    90 //     that given on the pc-position, say n, is a '[' or a ']',  | 
   101 //     that given on the position pc is a '[' or a ']',  | 
    91 //     then to which pc-position do we need to jump?  | 
   102 //     then to which pc-position do we need to jump next?  | 
    92 //   | 
   103 //   | 
    93 //     For example for the program  | 
   104 //     For example for the program  | 
    94 //      | 
   105 //      | 
    95 //       "+++++[->++++++++++<]>--<+++[->>++++++++++<<]>>++<<----------[+>.>.<+<]"  | 
   106 //       "+++++[->++++++++++<]>--<+++[->>++++++++++<<]>>++<<----------[+>.>.<+<]"  | 
    96 //  | 
   107 //  | 
   100 //    | 
   111 //    | 
   101 //     This states that for the '[' on position 5, we need to  | 
   112 //     This states that for the '[' on position 5, we need to  | 
   102 //     jump to position 20, which is just after the corresponding ']'.  | 
   113 //     jump to position 20, which is just after the corresponding ']'.  | 
   103 //     Similarly, for the ']' on position 19, we need to jump to  | 
   114 //     Similarly, for the ']' on position 19, we need to jump to  | 
   104 //     position 6, which is just after the '[' on position 5, and so  | 
   115 //     position 6, which is just after the '[' on position 5, and so  | 
   105 //     on. The idea to not calculate this information each time  | 
   116 //     on. The idea is to not calculate this information each time  | 
   106 //     we hit a bracket, but just loop uu this information in the   | 
   117 //     we hit a bracket, but just look up this information in the   | 
   107 //     jtable.  | 
   118 //     jtable. You can use the jumpLeft and jumpRight functions  | 
   108 //  | 
   119 //     from Part 1 for calculating the jtable.  | 
   109 //     Adapt the compute and run functions from Part 1 in order to  | 
   120 //  | 
   110 //     take advantage of the information in the jtable.   | 
   121 //     Then adapt the compute and run functions from Part 1 in order   | 
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   122 //     to take advantage of the information stored in the jtable.   | 
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   123 //     This means whenever jumpLeft and jumpRight was called previously,  | 
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   124 //     you should look up the jump address in the jtable.  | 
   111    | 
   125    | 
   112   | 
   126   | 
   113 def jtable(pg: String) : Map[Int, Int] =   | 
   127 def jtable(pg: String) : Map[Int, Int] =   | 
   114     (0 until pg.length).collect { pc => pg(pc) match { | 
   128     (0 until pg.length).collect { pc => pg(pc) match { | 
   115       case '[' => (pc -> jumpRight(pg, pc + 1, 0))  | 
   129       case '[' => (pc -> jumpRight(pg, pc + 1, 0))  | 
   147   compute2(pg, jtable(pg), 0, 0, m)  | 
   161   compute2(pg, jtable(pg), 0, 0, m)  | 
   148   | 
   162   | 
   149 //time_needed(1, run2(load_bff("benchmark.bf"))) | 
   163 //time_needed(1, run2(load_bff("benchmark.bf"))) | 
   150   | 
   164   | 
   151   | 
   165   | 
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   166   | 
   152 // (6) Write a function optimise which deletes "dead code" (everything  | 
   167 // (6) Write a function optimise which deletes "dead code" (everything  | 
   153 // that is not a bf-command) and also replaces substrings of the form  | 
   168 // that is not a bf-command) and also replaces substrings of the form  | 
   154 // [-] by a new command 0. The idea is that the the loop [-] resets the  | 
   169 // [-] by a new command 0. The idea is that the loop [-] just resets the  | 
   155 // memory at the current location to 0. In the compute3 and run3 functions  | 
   170 // memory at the current location to 0. In the compute3 and run3 functions  | 
   156 // below we implement this command by writing 0 to mem(mp), then is  | 
   171 // below you implement this command by writing the number 0 to mem(mp),   | 
   157 // write(mem, mp, 0).   | 
   172 // that is write(mem, mp, 0).   | 
   158 //  | 
   173 //  | 
   159 // The easiest way to modify a string in this way is to use the regular  | 
   174 // The easiest way to modify a string in this way is to use the regular  | 
   160 // expression """[^<>+-.,\[\]]""", whcih recognises everything that is   | 
   175 // expression """[^<>+-.,\[\]]""", which recognises everything that is   | 
   161 // not a bf-command and replace it by the empty string. Similarly the  | 
   176 // not a bf-command and replace it by the empty string. Similarly the  | 
   162 // regular expression """\[-\]""" finds all occurences of [-] and   | 
   177 // regular expression """\[-\]""" finds all occurences of [-] and   | 
   163 // by using the Scala method .replaceAll you can repplace it with the   | 
   178 // by using the Scala method .replaceAll you can repplace it with the   | 
   164 // string "0" standing for the new bf-program.  | 
   179 // string "0" standing for the new bf-command.  | 
   165   | 
   180   | 
   166 def optimise(s: String) : String =   | 
   181 def optimise(s: String) : String =   | 
   167   s.replaceAll("""[^<>+-.,\[\]]""","").replaceAll("""\[-\]""", "0") | 
   182   s.replaceAll("""[^<>+-.,\[\]]""","").replaceAll("""\[-\]""", "0") | 
         | 
   183   | 
   168   | 
   184   | 
   169 def compute3(pg: String, tb: Map[Int, Int], pc: Int, mp: Int, mem: Mem) : Mem = { | 
   185 def compute3(pg: String, tb: Map[Int, Int], pc: Int, mp: Int, mem: Mem) : Mem = { | 
   170   if (0 <= pc && pc < pg.length) {  | 
   186   if (0 <= pc && pc < pg.length) {  | 
   171     val (new_pc, new_mp, new_mem) = pg(pc) match { | 
   187     val (new_pc, new_mp, new_mem) = pg(pc) match { | 
   172       case '0' => (pc + 1, mp, write(mem, mp, 0))  | 
   188       case '0' => (pc + 1, mp, write(mem, mp, 0))  | 
   191   val pg_opt = optimise(pg)  | 
   207   val pg_opt = optimise(pg)  | 
   192   compute3(pg_opt, jtable(pg_opt), 0, 0, m)  | 
   208   compute3(pg_opt, jtable(pg_opt), 0, 0, m)  | 
   193 }  | 
   209 }  | 
   194   | 
   210   | 
   195   | 
   211   | 
   196 time_needed(1, run3(load_bff("benchmark.bf"))) | 
   212 // testcases  | 
   197   | 
   213   | 
   198   | 
   214 //optimise(load_bff("benchmark.bf"))          // should have inserted 0's | 
   199 // (7)   | 
   215 //optimise(load_bff("mandelbrot.bf")).length  // => 11203 | 
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   216    | 
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   217 //time_needed(1, run3(load_bff("benchmark.bf"))) | 
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   218   | 
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   219   | 
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   220   | 
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   221 // (7)  Write a function combine which replaces sequences  | 
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   222 // of repated increment and decrement commands by appropriate  | 
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   223 // two-character commands. For example for sequences of +  | 
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   224 //  | 
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   225 //              orig bf-cmds  | replacement  | 
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   226 //            ------------------------------  | 
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   227 //              +             | +A   | 
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   228 //              ++            | +B  | 
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   229 //              +++           | +C  | 
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   230 //                            |  | 
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   231 //              ...           |  | 
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   232 //                            |   | 
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   233 //              +++....+++    | +Z  | 
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   234 //                (where length = 26)  | 
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   235 //  | 
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   236 //  Similar for the bf-command -, > and <. All other commands should  | 
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   237 //  be unaffected by this change.  | 
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   238 //  | 
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   239 //  Adapt the compute4 and run4 functions such that they can deal  | 
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   240 //  appropriately with such two-character commands.  | 
   200   | 
   241   | 
   201 def splice(cs: List[Char], acc: List[(Char, Int)]) : List[(Char, Int)] = (cs, acc) match { | 
   242 def splice(cs: List[Char], acc: List[(Char, Int)]) : List[(Char, Int)] = (cs, acc) match { | 
   202   case (Nil, acc) => acc    | 
   243   case (Nil, acc) => acc    | 
   203   case ('[' :: cs, acc) => splice(cs, ('[', 1) :: acc) | 
   244   case ('[' :: cs, acc) => splice(cs, ('[', 1) :: acc) | 
   204   case (']' :: cs, acc) => splice(cs, (']', 1) :: acc) | 
   245   case (']' :: cs, acc) => splice(cs, (']', 1) :: acc) | 
   213   | 
   254   | 
   214 def spl(s: String) = splice(s.toList, Nil).reverse  | 
   255 def spl(s: String) = splice(s.toList, Nil).reverse  | 
   215   | 
   256   | 
   216 spl(load_bff("benchmark.bf")) | 
   257 spl(load_bff("benchmark.bf")) | 
   217   | 
   258   | 
   218 def combine(cs: List[(Char, Int)]) : String = { | 
   259 def combine(s: String) : String = { | 
   219   (for ((c, n) <- cs) yield c match { | 
   260   (for ((c, n) <- spl(s)) yield c match { | 
   220     case '>' => List('>', (n + '@').toChar) | 
   261     case '>' => List('>', (n + '@').toChar) | 
   221     case '<' => List('<', (n + '@').toChar) | 
   262     case '<' => List('<', (n + '@').toChar) | 
   222     case '+' => List('+', (n + '@').toChar) | 
   263     case '+' => List('+', (n + '@').toChar) | 
   223     case '-' => List('-', (n + '@').toChar) | 
   264     case '-' => List('-', (n + '@').toChar) | 
   224     case _ => List(c)  | 
   265     case _ => List(c)  | 
   225   }).flatten.mkString  | 
   266   }).flatten.mkString  | 
   226 }  | 
   267 }  | 
   227   | 
   268   | 
   228   | 
   269   | 
   229 combine(spl(load_bff("benchmark.bf"))) | 
   270 combine(load_bff("benchmark.bf")) | 
   230   | 
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   231   | 
   271   | 
   232 def compute4(pg: String, tb: Map[Int, Int], pc: Int, mp: Int, mem: Mem) : Mem = { | 
   272 def compute4(pg: String, tb: Map[Int, Int], pc: Int, mp: Int, mem: Mem) : Mem = { | 
   233   if (0 <= pc && pc < pg.length) {  | 
   273   if (0 <= pc && pc < pg.length) {  | 
   234     val (new_pc, new_mp, new_mem) = pg(pc) match { | 
   274     val (new_pc, new_mp, new_mem) = pg(pc) match { | 
   235       case '0' => (pc + 1, mp, write(mem, mp, 0))  | 
   275       case '0' => (pc + 1, mp, write(mem, mp, 0))  | 
   249   }  | 
   289   }  | 
   250   else mem  | 
   290   else mem  | 
   251 }  | 
   291 }  | 
   252   | 
   292   | 
   253 def run4(pg: String, m: Mem = Map()) = {  | 
   293 def run4(pg: String, m: Mem = Map()) = {  | 
   254   val pg_opt = combine(spl(optimise(pg)))  | 
   294   val pg_opt = combine(optimise(pg))  | 
   255   compute4(pg_opt, jtable(pg_opt), 0, 0, m)  | 
   295   compute4(pg_opt, jtable(pg_opt), 0, 0, m)  | 
   256 }  | 
   296 }  | 
   257   | 
   297   | 
   258   | 
   298   | 
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   299 combine(optimise(load_bff("benchmark.bf"))) // => """>A+B[<A+M>A-A]<A[[.....""" | 
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   300   | 
   259 //time_needed(1, run4(load_bff("benchmark.bf"))) | 
   301 //time_needed(1, run4(load_bff("benchmark.bf"))) | 
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   302   | 
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   303 //time_needed(1, run(load_bff("sierpinski.bf")))  | 
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   304 //time_needed(1, run4(load_bff("sierpinski.bf")))  | 
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   305   | 
   260 //time_needed(1, run4(load_bff("mandelbrot.bf"))) | 
   306 //time_needed(1, run4(load_bff("mandelbrot.bf"))) | 
   261   | 
   307   | 
   262   | 
   308   | 
   263 }  | 
   309 //}  |