// Part 2 about an Interpreter for the Brainf*** language+ −
//========================================================+ −
+ −
object CW8b {+ −
+ −
type Mem = Map[Int, Int]+ −
+ −
// (2a) Complete the functions for safely reading + −
// and writing brainf*** memory. Safely read should+ −
// Return the value stored in the Map for a given memory+ −
// pointer, if it exists; otherwise it Returns 0. The+ −
// writing function generates a new Map with the+ −
// same data, except at the given memory pointer the+ −
// value v is stored.+ −
+ −
+ −
//def sread(mem: Mem, mp: Int) : Int = ...+ −
+ −
//def write(mem: Mem, mp: Int, v: Int) : Mem = ...+ −
+ −
+ −
// (2b) Implement the two jumping instructions in the + −
// brainf*** language. In jumpRight, given a program and + −
// a program counter move the counter to the right + −
// until the command after the *matching* ]-command. Similarly, + −
// jumpLeft implements the move to the left to just after+ −
// the *matching* [-command. The levels are used to find the+ −
// *matching* bracket.+ −
+ −
//def jumpRight(prog: String, pc: Int, level: Int) : Int = ...+ −
+ −
//def jumpLeft(prog: String, pc: Int, level: Int) : Int = ...+ −
+ −
+ −
+ −
// (2c) Complete the run function that interprets (runs) a brainf***+ −
// program: the arguments are a program, a program counter,+ −
// a memory counter and a brainf*** memory. It Returns the+ −
// memory at the stage when the execution of the brainf*** program+ −
// finishes. The interpretation finishes once the program counter+ −
// pc is pointing to something outside the program string.+ −
// If the pc points to a character inside the program, the pc, + −
// memory pointer and memory need to be updated according to + −
// rules of the brainf*** language. Then, recursively, the run + −
// function continues with the command at the new program+ −
// counter. + −
//+ −
// Implement the start function that calls run with the program+ −
// counter and memory counter set to 0.+ −
+ −
//def run(prog: String, pc: Int, mp: Int, mem: Mem) : Mem = ...+ −
+ −
//def start(prog: String, mem: Mem) = ...+ −
+ −
+ −
+ −
+ −
+ −
+ −
// some sample bf programs collected from the Internet+ −
//==================================================+ −
+ −
+ −
/*+ −
// first some contrived (small) programs+ −
+ −
// clears the 0-cell+ −
start("[-]", Map(0 -> 100)) + −
+ −
// copies content of the 0-cell to 1-cell+ −
start("[->+<]", Map(0 -> 10))+ −
+ −
// copies content of the 0-cell to 2-cell and 4-cell+ −
start("[>>+>>+<<<<-]", Map(0 -> 42))+ −
+ −
start("+++[>+++++<-]", Map(0 -> 10))+ −
+ −
+ −
// prints out numbers 0 to 9+ −
start("""+++++[->++++++++++<]>--<+++[->>++++++++++<<]>>++<<----------[+>.>.<+<]""", Map())+ −
+ −
+ −
// some more "useful" programs+ −
+ −
// hello world program 1+ −
start("""++++++++[>++++[>++>+++>+++>+<<<<-]>+>+>->>+[<]<-]>>.>---.++++++++ −
..+++.>>.<-.<.+++.------.--------.>>+.>++.""", Map())+ −
+ −
// hello world program 2+ −
start("""++++++++++[>+++++++>++++++++++>+++>+<<<<-]>++.>+.+++++++..+++.>++ −
+.<<+++++++++++++++.>.+++.------.--------.>+.>.""", Map())+ −
+ −
+ −
// draws the Sierpinski triangle+ −
start("""++++++++[>+>++++<<-]>++>>+<[-[>>+<<-]+>>]>+[-<<<[+ −
->[+[-]+>++>>>-<<]<[<]>>++++++[<<+++++>>-]+<<++.[-]<<+ −
]>.>+[>>]>+]""", Map())+ −
+ −
//Fibonacci numbers below 100+ −
start("""++++++++++++ −
>+>>>>+++++++++++++++++++++++++++++++++++++++++++++ −
>++++++++++++++++++++++++++++++++<<<<<<[>[>>>>>>+>+ −
+<<<<<<<-]>>>>>>>[<<<<<<<+>>>>>>>-]<[>++++++++++[-+ −
<-[>>+>+<<<-]>>>[<<<+>>>-]+<[>[-]<[-]]>[<<[>>>+<<<+ −
-]>>[-]]<<]>>>[>>+>+<<<-]>>>[<<<+>>>-]+<[>[-]<[-]]+ −
>[<<+>>[-]]<<<<<<<]>>>>>[++++++++++++++++++++++++++ −
+++++++++++++++++++++++.[-]]++++++++++<[->-<]>+++++ −
++++++++++++++++++++++++++++++++++++++++++++.[-]<<+ −
<<<<<<<<<<[>>>+>+<<<<-]>>>>[<<<<+>>>>-]<-[>>.>.<<<+ −
[-]]<<[>>+>+<<<-]>>>[<<<+>>>-]<<[<+>-]>[<+>-]<<<-]""", Map())+ −
+ −
+ −
//outputs the square numbers up to 10000+ −
start("""++++[>+++++<-]>[<+++++>-]+<+[+ −
>[>+>+<<-]++>>[<<+>>-]>>>[-]++>[-]++ −
>>>+[[-]++++++>>>]<<<[[<++++++++<++>>-]+<.<[>----<-]<]+ −
<<[>>>>>[>>>[-]+++++++++<[>-<-]+++++++++>[-[<->-]+[<<<]]<[>+<-]>]<<-]<<-]""", Map())+ −
+ −
+ −
//Collatz numbers (need to be typed in)+ −
start(""">,[[----------[+ −
>>>[>>>>]+[[-]+<[->>>>++>>>>+[>>>>]++[->+<<<<<]]<<<]+ −
++++++[>------<-]>--[>>[->>>>]+>+[<<<<]>-],<]>]>>>++>+>>[+ −
<<[>>>>[-]+++++++++<[>-<-]+++++++++>[-[<->-]+[<<<<]]<[>+<-]>]+ −
>[>[>>>>]+[[-]<[+[->>>>]>+<]>[<+>[<<<<]]+<<<<]>>>[->>>>]+>+[<<<<]]+ −
>[[>+>>[<<<<+>>>>-]>]<<<<[-]>[-<<<<]]>>>>>>>+ −
]>>+[[-]++++++>>>>]<<<<[[<++++++++>-]<.[-]<[-]<[-]<]<,]""", Map())+ −
+ −
+ −
// infinite Collatz (never stops)+ −
start(""">>+>+<[[->>[>>]>>>[>>]+[<<]<<<[<<]>[>[>>]>>+>[>>]<+<[<<]<<<[<+ −
<]>-]>[>>]>>[<<<<[<<]>+>[>>]>>-]<<<<[<<]+>>]<<[+++++[>++++++++ −
+<-]>.<++++++[>--------<-]+<<]>>[>>]+[>>>>[<<+>+>-]<-[>+<-]+<+ −
[<<->>-[<<+>>[-]]]>>>[<<<+<<+>>>>>-]<<<[>>>+<<<-]<<[[-]>+>>->+ −
[<+<[<<+>>-]<[>+<-]<[>+<-]>>>>-]<[>+<-]+<[->[>>]<<[->[<+++>-[+ −
<+++>-[<+++>-[<[-]++>>[-]+>+<<-[<+++>-[<+++>-[<[-]+>>>+<<-[<++ −
++>-[<+++>-]]]]]]]]]<[>+<-]+<<]>>>+<[->[<+>-[<+>-[<+>-[<+>-[<+ −
+>-[<+>-[<+>-[<+>-[<+>-[<[-]>>[-]+>+<<-[<+>-]]]]]]]]]]]<[>+<-+ −
]+>>]<<[<<]>]<[->>[->+>]<[-[<+>-[<->>+<-[<+>-[<->>+<-[<+>-[<-+ −
>>+<-[<+>-[<->>+<-[<+>-[<->>+<-[<+>-[<->>+<-[<+>-[<->>+<-[<+>+ −
-[<->>+<-[<+>-[<->>+<-[<+>-]]]]]]]]]]]]]]]]]]]>[<+>-]<+<[<++++ −
+++++++>-]<]>>[<+>->>]<<[>+>+<<-]>[<+>-]+>[<->[-]]<[-<<-]<<[<+ −
<]]++++++[>+++++++<-]>++.------------.[-]>[>>]<<[+++++[>++++++ −
+++<-]>.<++++++[>--------<-]+<<]+<]>[<+>-]<]>>>[>>]<<[>[-]<-<+ −
<]++++++++++.[-]<<<[<<]>>>+<[->[<+>-[<+>-[<+>-[<+>-[<+>-[<+>-+ −
[<+>-[<+>-[<+>-[<[-]>>[-]+>+<<-]]]]]]]]]]<[>+<-]+>>]<<[<<]>>]""", Map())+ −
+ −
+ −
*/ + −
+ −
}+ −