Skip to main content

Is there a more elegant and efficient way to write brainf*** style loops in Mathematica?


I'm having some fun writing a brainf*** interpreter in Mathematica. See this wiki article for more info. It works nicely but I'd like to find an elegant, preferably functional, way to handle the looping structures.


This is a simple example of what I'm hoping to do with the solution I currently have in place. The variable ptr is the position of a pointer in the program. The variable paren is used to keep track of the brackets, it increments on "[" and decrements on "]" so it should be zero when I find the proper closing bracket.


ptr = 1;
paren = 1;
lst = {"[", "[", "-", "]", ">", ">", ">", ".", "<", "<", "<", "]",
">", ">", ">", ">", ">", ">", "."};


While[paren > 0, ptr++;
Switch[lst[[ptr]], "[", paren++, "]", paren--, _, Null]]

Which tells me the closing "]" is located at position 12 in lst.


In[287]:= ptr

Out[287]= 12

Is there a more elegant and/or efficient way to do this?



Answer




My solution isn't precisely what was asked for: it is the complete parser. At the moment, it is strictly a parser, but the functionality is all ready to be added.


Clear[bfinterpreter, bfeval, movf, movb, add1,  sub1, write, read, loop, 
stored, loopdepth, rls]
rls = {">" -> movf, "<" -> movb, "+" -> add1,
"-" -> sub1, "." -> write, "," -> read,
"]" :> With[{mode = loopdepth--}, loop[stored[mode]]]
};

bfeval[a : (">" | "<" | "+" | "-" | "." | "," | "]")] :=
With[{val = a /. rls},

If[loopdepth == 0,
val[ptr],
AppendTo[stored[loopdepth], val]; ## &[]]
]

bfeval["["] := (stored[++loopdepth] = {}; ## &[])
bfeval[_] := (## &[])

bfinterpreter[code_String] :=
Block[{loopdepth = 0, stored, ptr,

movf, movb, add1, sub1, write, read},
bfeval /@ StringSplit[code, ""]
];

A user would access this by passing bfinterpreter as String of BF commands. The string is split into individual characters via StringSplit[code, ""], and then bfeval is mapped over the resulting list. Scan would be better for the full implementation, but I used Map here to show that the parser works. In particular, using this on the OPs supplied BF code we get


(* spaces added for demo purposes *)
bfinterpreter["[[-]>> > . <<<]>>> >>>."]
(*
=> {loop[{ (* [ *)
loop[{sub1}], (* [-] *)

movf, (* > *)
movf, (* > *)
movf, (* > *)
write, (* . *)
movb, (* < *)
movb, (* < *)
movb (* < *)
}
][ptr], (* ] *)
movf[ptr], (* > *)

movf[ptr], (* > *)
movf[ptr], (* > *)
movf[ptr], (* > *)
movf[ptr], (* > *)
movf[ptr], (* > *)
write[ptr] (* . *)
}
*)

As you've probably figured out, all the magic happens in bfeval. The first form accepts all BF characters {">", "<", "+", "-", ".", ",", "]"}, but the open loop, "[". It works by applying a list of replacement rules to the supplied character and either storing it, if we're within a loop, or evaluating it immediately. The close loop rule, though, has added functionality in that it needs to both reduce loop counter, loopdepth, and return the stored commands for the loop, hence the use of RuleDelayed (:>).



The second form of bfeval simply increments the loop counter, and returns ##&[] to ensure the final list doesn't contain Nulls. And, the final form is the catch all for every other type of character.


Comments

Popular posts from this blog

functions - Get leading series expansion term?

Given a function f[x] , I would like to have a function leadingSeries that returns just the leading term in the series around x=0 . For example: leadingSeries[(1/x + 2)/(4 + 1/x^2 + x)] x and leadingSeries[(1/x + 2 + (1 - 1/x^3)/4)/(4 + x)] -(1/(16 x^3)) Is there such a function in Mathematica? Or maybe one can implement it efficiently? EDIT I finally went with the following implementation, based on Carl Woll 's answer: lds[ex_,x_]:=( (ex/.x->(x+O[x]^2))/.SeriesData[U_,Z_,L_List,Mi_,Ma_,De_]:>SeriesData[U,Z,{L[[1]]},Mi,Mi+1,De]//Quiet//Normal) The advantage is, that this one also properly works with functions whose leading term is a constant: lds[Exp[x],x] 1 Answer Update 1 Updated to eliminate SeriesData and to not return additional terms Perhaps you could use: leadingSeries[expr_, x_] := Normal[expr /. x->(x+O[x]^2) /. a_List :> Take[a, 1]] Then for your examples: leadingSeries[(1/x + 2)/(4 + 1/x^2 + x), x] leadingSeries[Exp[x], x] leadingSeries[(1/x + 2 + (1 - 1/x...

How to thread a list

I have data in format data = {{a1, a2}, {b1, b2}, {c1, c2}, {d1, d2}} Tableform: I want to thread it to : tdata = {{{a1, b1}, {a2, b2}}, {{a1, c1}, {a2, c2}}, {{a1, d1}, {a2, d2}}} Tableform: And I would like to do better then pseudofunction[n_] := Transpose[{data2[[1]], data2[[n]]}]; SetAttributes[pseudofunction, Listable]; Range[2, 4] // pseudofunction Here is my benchmark data, where data3 is normal sample of real data. data3 = Drop[ExcelWorkBook[[Column1 ;; Column4]], None, 1]; data2 = {a #, b #, c #, d #} & /@ Range[1, 10^5]; data = RandomReal[{0, 1}, {10^6, 4}]; Here is my benchmark code kptnw[list_] := Transpose[{Table[First@#, {Length@# - 1}], Rest@#}, {3, 1, 2}] &@list kptnw2[list_] := Transpose[{ConstantArray[First@#, Length@# - 1], Rest@#}, {3, 1, 2}] &@list OleksandrR[list_] := Flatten[Outer[List, List@First[list], Rest[list], 1], {{2}, {1, 4}}] paradox2[list_] := Partition[Riffle[list[[1]], #], 2] & /@ Drop[list, 1] RM[list_] := FoldList[Transpose[{First@li...

front end - keyboard shortcut to invoke Insert new matrix

I frequently need to type in some matrices, and the menu command Insert > Table/Matrix > New... allows matrices with lines drawn between columns and rows, which is very helpful. I would like to make a keyboard shortcut for it, but cannot find the relevant frontend token command (4209405) for it. Since the FullForm[] and InputForm[] of matrices with lines drawn between rows and columns is the same as those without lines, it's hard to do this via 3rd party system-wide text expanders (e.g. autohotkey or atext on mac). How does one assign a keyboard shortcut for the menu item Insert > Table/Matrix > New... , preferably using only mathematica? Thanks! Answer In the MenuSetup.tr (for linux located in the $InstallationDirectory/SystemFiles/FrontEnd/TextResources/X/ directory), I changed the line MenuItem["&New...", "CreateGridBoxDialog"] to read MenuItem["&New...", "CreateGridBoxDialog", MenuKey["m", Modifiers-...