Turing machine #2

Merged
Simponic merged 4 commits from turing-machine into main 2023-10-25 01:44:38 -04:00
9 changed files with 10532 additions and 98 deletions
Showing only changes of commit 7f8392f629 - Show all commits

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@ -44,6 +44,17 @@
</div> </div>
</a> </a>
<a class="project" href="/turing-machine/">
<div class="project-logo-container">
<i class="fa-solid fa-tape"></i>
</div>
<div class="project-body">
<h1>Simponic's State System</h1>
<p>A Turing Machine simulator specific to CS5000.</p>
</div>
</a>
<a class="project" href="/julia/"> <a class="project" href="/julia/">
<div class="project-logo-container"> <div class="project-logo-container">
<i class="fa-solid fa-square-root-variable"></i> <i class="fa-solid fa-square-root-variable"></i>

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@ -0,0 +1,488 @@
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@ -1,5 +1,4 @@
* { * {
font-family: "Trebuchet MS", sans-serif;
margin: 0; margin: 0;
} }
@ -7,7 +6,9 @@ button {
background: #bbbbbb; background: #bbbbbb;
border: 1px solid white; border: 1px solid white;
border-radius: 0.2rem; border-radius: 0.2rem;
padding: 0.2rem; padding: 0.3rem;
display: inline-block;
cursor: pointer;
} }
button:hover { button:hover {
@ -15,7 +16,7 @@ button:hover {
} }
body { body {
margin: 0; font-family: "Trebuchet MS", sans-serif;
background-color: #aaaaaa; background-color: #aaaaaa;
} }
@ -54,11 +55,12 @@ body {
border-radius: 0.25rem; border-radius: 0.25rem;
box-shadow: 2px 2px 5px #666666; box-shadow: 2px 2px 5px #666666;
background-color: #dddddd; background-color: #dddddd;
border: 2px solid white;
position: relative; position: relative;
height: 80%; height: 80%;
transition: border 0.1s ease-in-out; transition: border 0.25s ease-in-out;
transition: background 0.1s ease-in-out; transition: background 0.25s ease-in-out;
display: flex; display: flex;
flex-direction: column; flex-direction: column;
@ -80,7 +82,7 @@ body {
background-color: wheat; background-color: wheat;
border-radius: 50%; border-radius: 50%;
opacity: 0.001; opacity: 0.001;
transition: opacity 0.1s ease-in-out; transition: opacity 0.25s ease-in-out;
} }
.cell.reading .circle { .cell.reading .circle {
@ -88,7 +90,7 @@ body {
} }
.reading { .reading {
border-color: green; border-color: wheat;
background-color: wheat; background-color: wheat;
} }
@ -105,6 +107,16 @@ body {
font-size: 1rem; font-size: 1rem;
} }
.textarea-container {
display: flex;
flex-direction: column;
gap: 1rem;
box-shadow: 5px 5px 5px #666666;
border: 2px solid white;
border-radius: 0.25rem;
padding: 1rem;
}
textarea { textarea {
border-radius: 0.25rem; border-radius: 0.25rem;
height: 50vh; height: 50vh;
@ -119,11 +131,11 @@ textarea {
} }
.controls { .controls {
display: flex; display: none;
gap: 1rem; gap: 1rem;
flex-direction: row; flex-direction: row;
justify-content: center; justify-content: center;
align-items: center; align-items: stretch;
} }
hr { hr {

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@ -1,29 +1,57 @@
<!DOCTYPE html> <!DOCTYPE html>
<html> <html>
<head> <head>
<title>Turing Machine Simulator</title> <title>Turing Machine Simulator</title>
<link rel="stylesheet" type="text/css" href="css/styles.css"> <link rel="stylesheet" type="text/css" href="css/styles.css" />
</head> <link rel="stylesheet" type="text/css" href="codemirror/codemirror.css" />
<body> </head>
<div class="container"> <body>
<h1>Simponic's State System</h1> <div class="container">
<p>Author: Elizabeth Hunt</p> <h1>Simponic's State System</h1>
<hr> <p><i>Developed for Kulyukin's CS5000</i></p>
<p id="turing_state">State: _</p> <hr />
<div id="tape" class="tape"></div> <p id="turing_state">State: _</p>
<div class="controls" id="controls" style="display: none"> <div id="tape" class="tape"></div>
<button id="next_step">Next Step</button> <button id= <div class="controls" id="controls">
"toggle_play">🔁 Begin</button> <button id= <button id="toggle_play">🔁 Begin</button>
"reset">Reset</button><br> <button id="next_step">Next Step</button>
<button id="reset">Reset</button><br />
</div>
<div class="textarea-container">
<ul>
<li>
must have some instruction quadruple with the start state "q0"
</li>
<li>all computations will fail unless they end on the state "f"</li>
<li>
instructions are delimited with line breaks and are in the form
<i
>"< from_state > < read_symbol > < L/R/write_symbol > < to_state
>"</i
>
</li>
<li>comments ("//") are ignored</li>
</ul>
<textarea id="instructions">
// replaces 3 B's with "1"
q0 B 1 q1
q1 1 R q1
q1 B 1 q2
q2 1 R q2
q2 B 1 f</textarea
>
<div>
<button id="compile">Compile</button
><span style="margin-left: 0.5rem" id="compile_status"></span>
</div>
<div>
<button id="copy_state">Copy State</button>
</div>
</div>
</div> </div>
<textarea id="instructions">test</textarea> <script src="codemirror/codemirror.js"></script>
<div> <script src="js/observable.js"></script>
<button id="compile">Compile</button><span style= <script src="js/turing_machine.js"></script>
"margin-left: 0.5rem" id="compile_status"></span> <script src="js/main.js"></script>
</div> </body>
</div>
<script src="js/observable.js"></script>
<script src="js/turing_machine.js"></script>
<script src="js/main.js"></script>
</body>
</html> </html>

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@ -1,3 +1,7 @@
const TAPE_LEN = 150;
const BLANK_VAL = "B";
const SIMULATION_INTERVAL = 200;
const MESSAGES = { const MESSAGES = {
SET_CELL: "SET_CELL", SET_CELL: "SET_CELL",
PAUSE: "PAUSE", PAUSE: "PAUSE",
@ -9,16 +13,13 @@ const MESSAGES = {
NEW_TURING_STATE: "NEW_TURING_STATE", NEW_TURING_STATE: "NEW_TURING_STATE",
}; };
// -- the "real" code
const state = new Observable(); const state = new Observable();
const inputCellId = (cellId) => `${cellId}-input`; const inputCellId = (cellId) => `${cellId}-input`;
const setCellFromInput = (cellId, inputId) => { const cell = (cellId, initValue = "B") => {
const input = document.getElementById(inputId);
tape[cellId] = input.value;
};
const cell = (cellId, initValue = "NULL") => {
const cellDiv = document.createElement("div"); const cellDiv = document.createElement("div");
cellDiv.classList.add("cell"); cellDiv.classList.add("cell");
cellDiv.id = cellId; cellDiv.id = cellId;
@ -38,7 +39,8 @@ const cell = (cellId, initValue = "NULL") => {
input.addEventListener("focusout", () => input.addEventListener("focusout", () =>
state.notify({ type: MESSAGES.SET_CELL, cell: cellId, value: input.value }) state.notify({ type: MESSAGES.SET_CELL, cell: cellId, value: input.value })
); );
state.subscribe((msg) => {
const msgListener = (msg) => {
if (msg.type == MESSAGES.SET_CELL && msg.cell == cellId) { if (msg.type == MESSAGES.SET_CELL && msg.cell == cellId) {
input.value = msg.value; input.value = msg.value;
} }
@ -50,7 +52,11 @@ const cell = (cellId, initValue = "NULL") => {
}); });
} else cellDiv.classList.remove("reading"); } else cellDiv.classList.remove("reading");
} }
}); if (msg.type == MESSAGES.COMPILE) {
state.unsubscribe(msgListener);
}
};
state.subscribe(msgListener);
cellDiv.appendChild(input); cellDiv.appendChild(input);
cellDiv.appendChild(readingHead); cellDiv.appendChild(readingHead);
@ -73,7 +79,7 @@ const parseRules = (rules, beginState) => {
.map((x) => x.trim()) .map((x) => x.trim())
.filter((x) => x); .filter((x) => x);
if (items.length != 4) { if (items.length != 4) {
throw new Error(`Invalid instruction on line ${line}`); throw new Error(`Invalid instruction on line ${line + 1}`);
} }
instructions.push(items); instructions.push(items);
}); });
@ -85,32 +91,58 @@ const parseRules = (rules, beginState) => {
return instructions; return instructions;
}; };
// -- // -- a bit of some hacky ui code --
const tapeEl = document.getElementById("tape"); const tapeEl = document.getElementById("tape");
const compileButton = document.getElementById("compile"); const compileButton = document.getElementById("compile");
const instructionsEl = document.getElementById("instructions"); const resetButton = document.getElementById("reset");
const controlsEl = document.getElementById("controls"); const controlsEl = document.getElementById("controls");
const nextStepButton = document.getElementById("next_step"); const nextStepButton = document.getElementById("next_step");
const togglePlayButton = document.getElementById("toggle_play"); const togglePlayButton = document.getElementById("toggle_play");
const compileStatusEl = document.getElementById("compile_status"); const compileStatusEl = document.getElementById("compile_status");
const turingMachineStateEl = document.getElementById("turing_state"); const turingMachineStateEl = document.getElementById("turing_state");
const resetButton = document.getElementById("reset"); const copyStateButton = document.getElementById("copy_state");
resetButton.addEventListener("click", () => { // init instructions from params
state.notify({ type: MESSAGES.PAUSE }); const instructionsEl = document.getElementById("instructions");
state.notify({ type: MESSAGES.COMPILE, value: instructionsEl.value }); const editorEl = CodeMirror.fromTextArea(instructionsEl, {
lineNumbers: true,
}); });
const urlParams = new URLSearchParams(window.location.search);
if (urlParams.get("instructions")) {
editorEl.setValue(atob(urlParams.get("instructions")));
}
compileButton.addEventListener("click", () => { [compileButton, resetButton].forEach((button) =>
state.notify({ type: MESSAGES.COMPILE, value: instructionsEl.value }); button.addEventListener("click", () => {
}); state.notify({ type: MESSAGES.PAUSE });
state.notify({ type: MESSAGES.COMPILE, value: editorEl.getValue() });
})
);
nextStepButton.addEventListener("click", () => { nextStepButton.addEventListener("click", () => {
state.notify({ type: MESSAGES.PAUSE }); state.notify({ type: MESSAGES.PAUSE });
state.notify({ type: MESSAGES.NEXT_STEP }); state.notify({ type: MESSAGES.NEXT_STEP });
}); });
// hackily copy the program state and put it in the clipboard
copyStateButton.addEventListener("click", () => {
const start = Array(TAPE_LEN)
.fill(BLANK_VAL)
.map((blank, i) => document.getElementById(inputCellId(i))?.value ?? blank)
.join("")
.replaceAll(new RegExp(`(${BLANK_VAL})*\$`, "g"), "");
const instructions = btoa(editorEl.getValue());
navigator.clipboard
.writeText(
window.location.href.split("?")[0] +
`?start=${start}&instructions=${instructions}`
)
.then(() => alert("copied to clipboard"));
});
// simulate / pause button
let playButton_simulationStatus = "paused"; let playButton_simulationStatus = "paused";
togglePlayButton.addEventListener("click", function () { togglePlayButton.addEventListener("click", function () {
if (playButton_simulationStatus == "paused") { if (playButton_simulationStatus == "paused") {
@ -119,6 +151,16 @@ togglePlayButton.addEventListener("click", function () {
state.notify({ type: MESSAGES.PAUSE }); state.notify({ type: MESSAGES.PAUSE });
} }
}); });
state.subscribe((msg) => {
if (msg.type == MESSAGES.PAUSE) {
togglePlayButton.innerHTML = "🔁 Begin";
playButton_simulationStatus = "paused";
}
if (msg.type == MESSAGES.SIMULATE) {
togglePlayButton.innerHTML = "⏸️ Pause";
playButton_simulationStatus = "simulate";
}
});
state.subscribe((msg) => { state.subscribe((msg) => {
if (msg.type == MESSAGES.COMPILE_STATUS) { if (msg.type == MESSAGES.COMPILE_STATUS) {
@ -142,22 +184,11 @@ state.subscribe((msg) => {
if (error) { if (error) {
controlsEl.style.display = "none"; controlsEl.style.display = "none";
} else if (success) { } else if (success) {
controlsEl.style.display = "block"; controlsEl.style.display = "flex";
} }
} }
}); });
state.subscribe((msg) => {
if (msg.type == MESSAGES.PAUSE) {
togglePlayButton.innerHTML = "🔁 Begin";
playButton_simulationStatus = "paused";
}
if (msg.type == MESSAGES.SIMULATE) {
togglePlayButton.innerHTML = "⏸️ Pause";
playButton_simulationStatus = "simulate";
}
});
state.subscribe((msg) => { state.subscribe((msg) => {
if (msg.type == MESSAGES.NEW_TURING_STATE) { if (msg.type == MESSAGES.NEW_TURING_STATE) {
turingMachineStateEl.innerHTML = msg.value; turingMachineStateEl.innerHTML = msg.value;
@ -167,35 +198,35 @@ state.subscribe((msg) => {
// - // -
const main = () => { const main = () => {
const blank = "B";
const beginState = "q0";
const acceptState = "f";
const tape = Array(200).fill(blank);
const cells = tape.map((_, cellId) => cell(cellId, blank));
for (const cell of cells) {
tapeEl.appendChild(cell);
}
let turingMachine; let turingMachine;
const startString = urlParams.get("start");
state.subscribe((msg) => { state.subscribe((msg) => {
if (msg.type == MESSAGES.SET_CELL) { if (msg.type == MESSAGES.SET_CELL) {
const { value, cell } = msg; const { value, cell } = msg;
tape[cell] = value;
if (turingMachine) turingMachine.setTapeAtCell(cell, value); if (turingMachine) turingMachine.setTapeAtCell(cell, value);
} }
if (msg.type == MESSAGES.COMPILE) { if (msg.type == MESSAGES.COMPILE) {
const { value } = msg; const { value } = msg;
try { try {
const rules = parseRules(value, beginState, acceptState); const beginState = "q0";
const acceptState = "f";
const tape = Array(TAPE_LEN)
.fill(BLANK_VAL)
.map((x, i) =>
startString && i < startString.length ? startString[i] : x
);
// put the cells into the tape
const cells = tape.map((_, cellId) => cell(cellId, tape[cellId]));
tapeEl.innerHTML = "";
for (const cell of cells) {
tapeEl.appendChild(cell);
}
const rules = parseRules(value, beginState, acceptState);
turingMachine = new TuringMachine(tape, rules, beginState, acceptState);
turingMachine = new TuringMachine(
[...tape],
rules,
beginState,
blank,
acceptState
);
state.notify({ type: MESSAGES.SET_READER, cell: 0 }); state.notify({ type: MESSAGES.SET_READER, cell: 0 });
state.notify({ state.notify({
type: MESSAGES.NEW_TURING_STATE, type: MESSAGES.NEW_TURING_STATE,
@ -209,7 +240,7 @@ const main = () => {
if (msg.type == MESSAGES.SIMULATE) { if (msg.type == MESSAGES.SIMULATE) {
const interval = setInterval(() => { const interval = setInterval(() => {
state.notify({ type: MESSAGES.NEXT_STEP }); state.notify({ type: MESSAGES.NEXT_STEP });
}, 300); }, SIMULATION_INTERVAL);
const subscriptionFn = (msg) => { const subscriptionFn = (msg) => {
if (msg.type == MESSAGES.PAUSE) { if (msg.type == MESSAGES.PAUSE) {
clearInterval(interval); clearInterval(interval);
@ -231,7 +262,7 @@ const main = () => {
type: MESSAGES.NEW_TURING_STATE, type: MESSAGES.NEW_TURING_STATE,
value: accepting value: accepting
? `<span class='success'>Accept(${status})</span>` ? `<span class='success'>Accept(${status})</span>`
: `<span class='error'>Fail(${status}}</span>`, : `<span class='error'>Fail(${status})</span>`,
}); });
} else { } else {
state.notify({ state.notify({

View File

@ -1,16 +1,9 @@
class TuringMachine { class TuringMachine {
constructor( constructor(tape = [], rules = [], initialState = "q0", acceptState = "f") {
tape = [],
rules = [],
initialState = "q0",
blankSymbol = "B",
acceptState = "f"
) {
this.tape = tape; this.tape = tape;
this.rules = this.parseRules(rules); this.rules = this.parseRules(rules);
this.state = initialState; this.state = initialState;
this.head = 0; this.head = 0;
this.blankSymbol = blankSymbol;
this.acceptState = acceptState; this.acceptState = acceptState;
this.iteration = 0; this.iteration = 0;
@ -51,7 +44,7 @@ class TuringMachine {
} }
step() { step() {
const currentSymbol = this.tape[this.head] || this.blankSymbol; const currentSymbol = this.tape[this.head];
const key = `${this.state},${currentSymbol}`; const key = `${this.state},${currentSymbol}`;
if (!(key in this.rules)) { if (!(key in this.rules)) {
return false; return false;
@ -60,6 +53,7 @@ class TuringMachine {
const [newState, action] = rule.split(","); const [newState, action] = rule.split(",");
this.state = newState; this.state = newState;
this.iteration++;
if (action === "R") { if (action === "R") {
this.head += 1; this.head += 1;
@ -73,10 +67,6 @@ class TuringMachine {
return false; return false;
} }
if (this.head >= 0 && this.head < this.tape.length) { return this.head >= 0 && this.head < this.tape.length;
this.iteration++;
return true;
}
return false;
} }
} }