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Basic Turing Machine simulator in JS
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function TM(tape, alphabet, states, start){ | |
var state, transition, symbol, | |
counter = 0, stateId = start, pos = 0; | |
while(true){ | |
symbol = tape[pos]; | |
if(typeof symbol === 'undefined'){ | |
symbol = alphabet[0]; | |
tape[pos] = symbol; | |
} | |
state = states[stateId]; | |
transition = state?state[symbol]:void 0; | |
console.log(++counter, stateId+'['+tape.slice(0,pos).join('')+'('+symbol+')'+ tape.slice(pos+1).join('')+']'); | |
debugger; | |
if(!transition){ | |
return { | |
accept: !!state.accept, | |
tape: tape | |
}; | |
} | |
(transition.o||[]).forEach(function(op){ | |
if(op.hasOwnProperty('p')){ | |
tape[pos] = op.p | |
}else if(op.hasOwnProperty('m')){ | |
pos += op.m == "R"? 1:-1; | |
if(pos < 0){ | |
pos = 0; | |
tape.unshift(alphabet[0]); | |
}else if(tape[pos] == void 0){ | |
tape[pos] = alphabet[0]; | |
} | |
} | |
}); | |
stateId = transition.s; | |
} | |
} | |
/* Run the 3-state Busy Beaver Machine on an empty tape */ | |
TM([], ['0', '1'], { | |
A: { | |
0: {o: [{p: '1'}, {m: "R"}], s: "B"}, | |
1: {o: [{p: '1'}, {m: "L"}], s: "C"} | |
}, | |
B: { | |
0: {o: [{p: '1'}, {m: "L"}], s: "A"}, | |
1: {o: [{p: '1'}, {m: "R"}], s: "B"} | |
}, | |
C: { | |
0: {o: [{p: '1'}, {m: "L"}], s: "B"}, | |
1: {o: [{p: '1'}], s: "HALT"} | |
}, | |
HALT: {accept:true} | |
}, "A"); | |
TM([], [' ', 'e', 'x', '0', '1'], { | |
b: { | |
' ': {o: [{p:'e'},{m:"R"},{p:'e'},{m:"R"},{p:'0'},{m:"R"},{m:"R"},{p:'0'},{m:"L"},{m:"L"}], s: "o"} | |
}, | |
o: { | |
1: {o: [{m:"R"},{p:'x'},{m:"L"},{m:"L"},{m:"L"}], s: "o"}, | |
0: {o: [], s: "q"} | |
}, | |
q: { | |
0: {o: [{m:'R'},{m:'R'}], s: "q"}, | |
1: {o: [{m:'R'},{m:'R'}], s: "q"}, | |
' ': {o: [{p:'1'},{m:"L"}], s: "p"}, | |
}, | |
p: { | |
x: {o: [{p:' '},{m:"R"}], s: "q"}, | |
e: {o: [{m:'R'}], s: "f"}, | |
' ': {o: [{m:"L"},{m:"L"}], s: "p"} | |
}, | |
f: { | |
0: {o: [{m:'R'},{m:'R'}], s: "f"}, | |
1: {o: [{m:'R'},{m:'R'}], s: "f"}, | |
x: {o: [{m:'R'},{m:'R'}], s: "f"}, | |
e: {o: [{m:'R'},{m:'R'}], s: "f"}, | |
' ': {o: [{p:'0'},{m:"L"},{m:"L"}], s: "o"} | |
} | |
}, "b"); |
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