dkl9 commited on 2025-209 17:28:24
Showing 4 changed files, with 363 additions and 295 deletions.
| ... | ... |
@@ -4,9 +4,9 @@ |
| 4 | 4 |
<title>Functle</title> |
| 5 | 5 |
<style> |
| 6 | 6 |
body { font-family: sans-serif; }
|
| 7 |
- #plot { border: 1px solid grey; flex-shrink: 0; height: 400px; }
|
|
| 7 |
+ #plot { border: 1px solid grey; flex-shrink: 0; width: min(90vw, 25em); height: min(90vw, 25em); flex-shrink: 0; }
|
|
| 8 | 8 |
#grid { border-collapse: separate; border-spacing: 3px 12px; margin-top: 10px; }
|
| 9 |
- #grid td { min-width: 60px; height: 60px; border: 1px solid #ccc; text-align: center; vertical-align: middle; font-weight: bold; transition: transform 0.3s ease; }
|
|
| 9 |
+ #grid td { min-width: min(13vw, 4rem); height: min(13vw, 4rem); border: 1px solid #ccc; text-align: center; vertical-align: middle; font-weight: bold; transition: transform 0.3s ease; }
|
|
| 10 | 10 |
.grey { background: #3a3a3c; color: white; }
|
| 11 | 11 |
.yellow { background: #b59f3b; color: white; }
|
| 12 | 12 |
.green { background: #538e4e; color: white; }
|
| ... | ... |
@@ -26,6 +26,29 @@ |
| 26 | 26 |
</head> |
| 27 | 27 |
<body> |
| 28 | 28 |
<div class="container"> |
| 29 |
+ <section id="instructions"> |
|
| 30 |
+ <h1>How to play</h1> |
|
| 31 |
+ <p>Look at the green plot <var>y</var> = <var>f</var>(<var>x</var>) and guess the formula for <var>f</var>(<var>x</var>) in <a href="https://en.wikipedia.org/wiki/Reverse_Polish_notation#Explanation" target="_blank">postfix</a>. |
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+ Use one character per number or operator:</p> |
|
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+ <ul> |
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+ <li><var>x</var>, 1, or 2 (values)</li> |
|
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+ <li>q for "squared" (unary)</li> |
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+ <li>c for "cubed" (unary)</li> |
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+ <li>s for sine</li> |
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+ <li>e for exp (<var>e</var> to the ...)</li> |
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+ <li>l for natural log</li> |
|
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+ <li>+, -, *, / for basic operations</li> |
|
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+ </ul> |
|
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+ <p>For example, write 1 / (sin² <var>x</var>) as "1 x s q /", or ln(2) <var>e</var><sup><var>x</var></sup> as "2 l x e *".</p> |
|
| 43 |
+ <p>Your answer will be coloured as feedback. |
|
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+ <span class="green">Green: correct, right spot.</span> |
|
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+ <span class="yellow">Yellow: correct, wrong spot.</span> |
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+ <span class="grey">Grey: not in answer</span></p> |
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+ <p>Remember that 1 and 2 can be used to build other, more complicated constants. |
|
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+ Remember how syntax narrows down your options: operators tend to be near the end, and inputs near the start. |
|
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+ Axis ticks show <var>x</var> = ±1 and <var>y</var> = ±1.</p> |
|
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+ <p><button id="gotit" type="button">Got it</a></p> |
|
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+ </section> |
|
| 29 | 52 |
<canvas id="plot" width="400" height="400"></canvas> |
| 30 | 53 |
<div class="side"> |
| 31 | 54 |
<div> |
| ... | ... |
@@ -33,299 +56,12 @@ |
| 33 | 56 |
</div> |
| 34 | 57 |
<table id="grid"></table> |
| 35 | 58 |
</div> |
| 36 |
- <div class="side"> |
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- <p>Guess the function based on its plot on the left. |
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- Tick marks on axes indicate <var>x</var> = ±1 and <var>y</var> = ±1. |
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- Functions here are made of values <var>x</var>, 1, and 2, modified by functions ^2 (square), ^3 (cube), sin, exp, and ln, combined by operators +, -, *, /.</p> |
|
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- <p>Enter your answer in postfix (reverse Polish) notation. |
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- For example, express 1 - <var>x</var> / (sin <var>x</var>) as "1 x x sin / -".</p> |
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- <p>The correct answer will be five tokens. |
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- Numerically equivalent rearranged answers will be accepted.</p> |
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- <p>Enhanced from a prototype by ChatGPT o4-mini.</p> |
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- </div> |
|
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+ <!-- <div class="side"> |
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+ TODO: comments and questions ... |
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+ </div> --> |
|
| 46 | 62 |
</div> |
| 47 |
- <script> |
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- const allowed = {
|
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- terminals: ["x", "2", "1"], |
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- unary: ["^2", "^3", "sin", "exp", "ln"], |
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- binary: ["+", "-", "*", "/"] |
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- }; |
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- const allTokens = [...allowed.terminals, ...allowed.unary, ...allowed.binary]; |
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- const tl = 5; |
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- const keyToToken = { x:"x", 1:"1", 2:"2", q:"^2", c:"^3", s:"sin", e:"exp", l:"ln", "+":"+", "-":"-", "*":"*", "/":"/" };
|
|
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- const target = generateExpr(); |
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- const maxGuesses = 6; |
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- const width = 400, height = 400; |
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- const ctx = document.getElementById("plot").getContext("2d");
|
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- const bound = 10; |
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- const xs = []; |
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- const targetYs = []; |
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- for (let i = 0; i <= width; i++) {
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- const x = bound * (2 * i / width - 1); |
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- xs.push(x); |
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- const yv = evalPostfix(target, x); |
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- targetYs.push(yv); |
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- } |
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- const clampLow = 1.5; |
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- const clampHigh = 20; |
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- let yMin = Math.min(...targetYs); |
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- let yMax = Math.max(...targetYs); |
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- if (isNaN(yMin) || yMin < -clampHigh) yMin = -clampHigh; |
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- else if (yMin > -clampLow) yMin = -clampLow; |
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- if (isNaN(yMax) || yMax > clampHigh) yMax = clampHigh; |
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- else if (yMax < clampLow) yMax = clampLow; |
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- const guessYsList = []; |
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- const darkTheme = matchMedia('(prefers-color-scheme: dark)').matches;
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- |
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- function shakeRow(row) {
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- row.classList.remove("shake");
|
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- void row.offsetWidth; |
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- row.classList.add("shake");
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- } |
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- |
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- const grid = document.getElementById("grid");
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- for (let i = 0; i < 6; i++) {
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- const tr = document.createElement("tr");
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- for (let j = 0; j < tl; j++) {
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- const td = document.createElement("td");
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- tr.appendChild(td); |
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- } |
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- grid.appendChild(tr); |
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- } |
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- |
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- let currentRow = 0; |
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- let currentInput = []; |
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- redrawAll(); |
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- |
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| 100 |
- document.addEventListener("keydown", e => {
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| 101 |
- const row = grid.rows[currentRow]; |
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- if (e.key === "Backspace") {
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| 103 |
- if (currentInput.length > 0) {
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| 104 |
- currentInput.pop(); |
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- row.cells[currentInput.length].textContent = ""; |
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- } else {
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| 107 |
- shakeRow(row); |
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- } |
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- } else if (e.key === "Enter") {
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| 110 |
- submitGuess(); |
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- } else if (keyToToken.hasOwnProperty(e.key)) {
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| 112 |
- if (currentInput.length < tl) {
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- const token = keyToToken[e.key]; |
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- currentInput.push(token); |
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- const c = row.cells[currentInput.length - 1]; |
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- c.style.fontSize = `${3.5 - 0.5 * token.length}em`;
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- c.textContent = token; |
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- } else {
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- shakeRow(row); |
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- } |
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- } |
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- }); |
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- |
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- function submitGuess() {
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| 125 |
- const row = grid.rows[currentRow]; |
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- document.getElementById("message").textContent = "";
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- if (currentInput.length !== tl) {
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- document.getElementById("message").textContent = `Use exactly ${tl} tokens.`;
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- shakeRow(row); |
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- return; |
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- } |
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- for (const t of currentInput) {
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| 133 |
- if (!allTokens.includes(t)) {
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- document.getElementById("message").textContent = "Invalid token: " + t;
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- shakeRow(row); |
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- return; |
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- } |
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- } |
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- let ys; |
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- try {
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- ys = xs.map(x => evalPostfix(currentInput, x)); |
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- } catch (e) {
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- document.getElementById("message").textContent = "Syntax error.";
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- shakeRow(row); |
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- return; |
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- } |
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- guessYsList.push(ys); |
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- redrawAll(); |
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| 149 |
- const close = closeEnough(ys, targetYs); |
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| 150 |
- animateFlip(currentInput, close); |
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- if (close) {
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- setTimeout(() => fillRow(currentInput, "green"), 300 * tl); |
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- return; |
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- } |
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- currentRow++; |
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- currentInput = []; |
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- if (currentRow >= 6) return; |
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- } |
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- |
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- function animateFlip(tokens, close) {
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- const row = grid.rows[currentRow]; |
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- const colors = Array(tl); |
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| 163 |
- if (close) {
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- colors.fill("green");
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- } else {
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- const freq = {};
|
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- for (const t of target) freq[t] = (freq[t] || 0) + 1; |
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- colors.fill("grey");
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- for (let i = 0; i < tl; i++) {
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- if (tokens[i] === target[i]) {
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- colors[i] = "green"; |
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- freq[tokens[i]]--; |
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- } |
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- } |
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- for (let i = 0; i < tl; i++) {
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| 176 |
- if (colors[i] === "grey" && freq[tokens[i]] > 0) {
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- colors[i] = "yellow"; |
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- freq[tokens[i]]--; |
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- } |
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- } |
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- } |
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- tokens.forEach((token, i) => {
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- const cell = row.cells[i]; |
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- setTimeout(() => {
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- cell.style.transform = "rotateX(90deg)"; |
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- setTimeout(() => {
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- cell.classList.add(colors[i]); |
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- cell.style.transform = "rotateX(0deg)"; |
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- }, 150); |
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- }, 150 * i); |
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- }); |
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- } |
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- |
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- function fillRow(tokens, cls) {
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- const row = grid.rows[currentRow]; |
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- for (let i = 0; i < tl; i++) {
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- const cell = row.cells[i]; |
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- cell.textContent = tokens[i]; |
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- cell.classList.add(cls); |
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- } |
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- } |
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- |
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- function evalPostfix(tokens, x) {
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- const s = []; |
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- for (const t of tokens) {
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| 206 |
- if (t === "x") s.push(x); |
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- else if (t === "1") s.push(1); |
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- else if (t === "2") s.push(2); |
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- else if (allowed.unary.includes(t)) {
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- if (s.length < 1) throw 0; |
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- const v = s.pop(); |
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- if (t === "^2") s.push(v ** 2); |
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| 213 |
- if (t === "^3") s.push(v ** 3); |
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- if (t === "sin") s.push(Math.sin(v)); |
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| 215 |
- if (t === "exp") s.push(Math.exp(v)); |
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- if (t === "ln") s.push(Math.log(v)); |
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- } else if (allowed.binary.includes(t)) {
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- if (s.length < 2) throw 0; |
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- const b = s.pop(), a = s.pop(); |
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- if (t === "+") s.push(a + b); |
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- if (t === "-") s.push(a - b); |
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- if (t === "*") s.push(a * b); |
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- if (t === "/") s.push(a / b); |
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- } else throw 0; |
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- } |
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| 226 |
- if (s.length !== 1) throw 0; |
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- return s[0]; |
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- } |
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- |
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- function rand(l) {
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- return l[Math.floor(l.length * Math.random())]; |
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- } |
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- |
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| 234 |
- function generateExpr(len = tl, force = true) {
|
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| 235 |
- if (len == 1) {
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| 236 |
- return force ? ["x"] : [rand(allowed.terminals)]; |
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| 237 |
- } else if (len == 2 || Math.random >= 0.2) {
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| 238 |
- const e = generateExpr(len - 1, force); |
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- e.push(rand(evalPostfix(e, 0.6) == 1 ? ["sin", "exp"] : allowed.unary)); |
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- return e; |
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| 241 |
- } else {
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| 242 |
- const k = Math.floor(1 + (len - 2) * Math.random()); |
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| 243 |
- const f = force && Math.random() > 0.5; |
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- const a = generateExpr(k, f); |
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| 245 |
- const b = generateExpr(len - 1 - k, force && !f); |
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| 246 |
- const one = evalPostfix(a, 0.6) == 1 || evalPostfix(b, 0.6) == 1; |
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| 247 |
- const e = a.concat(b) |
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| 248 |
- e.push(rand(one ? ["+", "-"] : allowed.binary)); |
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| 249 |
- return e; |
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| 250 |
- } |
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| 251 |
- } |
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| 252 |
- |
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| 253 |
- function drawAxes() {
|
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| 254 |
- ctx.clearRect(0, 0, width, height); |
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| 255 |
- ctx.beginPath(); |
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| 256 |
- const y0 = mapY(0); |
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| 257 |
- ctx.moveTo(0, y0); |
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| 258 |
- ctx.lineTo(width, y0); |
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| 259 |
- const x0 = mapX(0); |
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| 260 |
- ctx.moveTo(x0, 0); |
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| 261 |
- ctx.lineTo(x0, height); |
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| 262 |
- [1, -1].forEach(val => {
|
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| 263 |
- const px = mapX(val); |
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| 264 |
- ctx.moveTo(px, y0 - 5); |
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| 265 |
- ctx.lineTo(px, y0 + 5); |
|
| 266 |
- }); |
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| 267 |
- [1, -1].forEach(val => {
|
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| 268 |
- const py = mapY(val); |
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| 269 |
- ctx.moveTo(x0 - 5, py); |
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| 270 |
- ctx.lineTo(x0 + 5, py); |
|
| 271 |
- }); |
|
| 272 |
- ctx.lineWidth = 1; |
|
| 273 |
- ctx.strokeStyle = darkTheme ? "white" : "black"; |
|
| 274 |
- ctx.stroke(); |
|
| 275 |
- } |
|
| 276 |
- |
|
| 277 |
- function drawCurve(ys, color, width = 4) {
|
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| 278 |
- ctx.beginPath(); |
|
| 279 |
- for (let i = 0; i < xs.length; i++) {
|
|
| 280 |
- const px = mapX(xs[i]), py = mapY(ys[i]); |
|
| 281 |
- if (i === 0) ctx.moveTo(px, py); |
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| 282 |
- else ctx.lineTo(px, py); |
|
| 283 |
- } |
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| 284 |
- ctx.lineWidth = width; |
|
| 285 |
- ctx.strokeStyle = color; |
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| 286 |
- ctx.stroke(); |
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| 287 |
- } |
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| 288 |
- |
|
| 289 |
- function redrawAll() {
|
|
| 290 |
- drawAxes(); |
|
| 291 |
- drawCurve(targetYs, darkTheme ? "lime" : "green"); |
|
| 292 |
- guessYsList.forEach((ys, idx) => drawCurve(ys, "red", (idx < guessYsList.length - 1) ? 1 : 4)); |
|
| 293 |
- } |
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| 294 |
- |
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| 295 |
- function markRow(tokens) {
|
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| 296 |
- const freq = {};
|
|
| 297 |
- for (const t of target) freq[t] = (freq[t] || 0) + 1; |
|
| 298 |
- const colors = Array(tl).fill("grey");
|
|
| 299 |
- for (let i = 0; i < tokens.length; i++) {
|
|
| 300 |
- if (tokens[i] === target[i]) {
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| 301 |
- colors[i] = "green"; |
|
| 302 |
- freq[tokens[i]]--; |
|
| 303 |
- } |
|
| 304 |
- } |
|
| 305 |
- for (let i = 0; i < tokens.length; i++) {
|
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| 306 |
- if (colors[i] === "grey" && freq[tokens[i]] > 0) {
|
|
| 307 |
- colors[i] = "yellow"; |
|
| 308 |
- freq[tokens[i]]--; |
|
| 309 |
- } |
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| 310 |
- } |
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| 311 |
- const row = grid.rows[currentRow]; |
|
| 312 |
- for (let i = 0; i < tl; i++) {
|
|
| 313 |
- const cell = row.cells[i]; |
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| 314 |
- cell.textContent = tokens[i]; |
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| 315 |
- cell.classList.add(colors[i]); |
|
| 316 |
- } |
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| 317 |
- } |
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| 318 |
- |
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| 319 |
- function mapX(x) { return (x + bound) / (2 * bound) * width; }
|
|
| 320 |
- function mapY(y) { return height - (y - yMin) / (yMax - yMin) * height; }
|
|
| 321 |
- |
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| 322 |
- function closeEnough(a, b) {
|
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| 323 |
- for (let i = 0; i < a.length; i++) {
|
|
| 324 |
- if (isNaN(a[i]) && !isNaN(b[i])) return false; |
|
| 325 |
- if (Math.abs(a[i] - b[i]) > 0.1 * (Math.abs(b[i]) + 1)) return false; |
|
| 326 |
- } |
|
| 327 |
- return true; |
|
| 328 |
- } |
|
| 329 |
- </script> |
|
| 63 |
+ <script src="guess.js"></script> |
|
| 64 |
+ <script src="plot.js"></script> |
|
| 65 |
+ <script src="input.js"></script> |
|
| 330 | 66 |
</body> |
| 331 | 67 |
</html> |
| ... | ... |
@@ -0,0 +1,218 @@ |
| 1 |
+const allowed = {
|
|
| 2 |
+ terminals: ["x", "2", "1"], |
|
| 3 |
+ unary: ["^2", "^3", "sin", "exp", "ln"], |
|
| 4 |
+ binary: ["+", "-", "*", "/"] |
|
| 5 |
+}; |
|
| 6 |
+const allTokens = [...allowed.terminals, ...allowed.unary, ...allowed.binary]; |
|
| 7 |
+const tl = 5; |
|
| 8 |
+let target; |
|
| 9 |
+let puzzleNum; |
|
| 10 |
+if (true) {
|
|
| 11 |
+ target = generateExpr(); |
|
| 12 |
+ puzzleNum = 0; |
|
| 13 |
+} else {
|
|
| 14 |
+ (async () => {
|
|
| 15 |
+ const r = await fetch("https://dkl9.net/cgi-bin/fps_curr", { redirect: "follow" });
|
|
| 16 |
+ puzzleNum = parseInt(r.url.match(/n=(\d+)/)[1]); |
|
| 17 |
+ target = await r.text().split(" ");
|
|
| 18 |
+ })(); |
|
| 19 |
+} |
|
| 20 |
+const container = document.getElementsByClassName("container")[0];
|
|
| 21 |
+const boxes = {grey: "⬜️", yellow: "🟨", green: "🟩"};
|
|
| 22 |
+const congrats = ["Incredible", "Amazing", "Great", "Nice", "You got it", "Whew"]; |
|
| 23 |
+const gotitButton = document.getElementById("gotit");
|
|
| 24 |
+ |
|
| 25 |
+if (localStorage.getItem("gotit") === "true") hideInstructions(gotitButton);
|
|
| 26 |
+ |
|
| 27 |
+if (gotitButton) {
|
|
| 28 |
+ gotitButton.addEventListener("click", e => {
|
|
| 29 |
+ if (localStorage.getItem("gotit") !== "true") {
|
|
| 30 |
+ hideInstructions(e.target); |
|
| 31 |
+ localStorage.setItem("gotit", "true");
|
|
| 32 |
+ } |
|
| 33 |
+ }); |
|
| 34 |
+} |
|
| 35 |
+ |
|
| 36 |
+function submitGuess() {
|
|
| 37 |
+ const row = grid.rows[currentRow]; |
|
| 38 |
+ document.getElementById("message").textContent = "";
|
|
| 39 |
+ if (currentInput.length !== tl) {
|
|
| 40 |
+ document.getElementById("message").textContent = `Use exactly ${tl} tokens.`;
|
|
| 41 |
+ shakeRow(row); |
|
| 42 |
+ return; |
|
| 43 |
+ } |
|
| 44 |
+ for (const t of currentInput) {
|
|
| 45 |
+ if (!allTokens.includes(t)) {
|
|
| 46 |
+ document.getElementById("message").textContent = "Invalid token: " + t;
|
|
| 47 |
+ shakeRow(row); |
|
| 48 |
+ return; |
|
| 49 |
+ } |
|
| 50 |
+ } |
|
| 51 |
+ let ys; |
|
| 52 |
+ try {
|
|
| 53 |
+ ys = xs.map(x => evalPostfix(currentInput, x)); |
|
| 54 |
+ } catch (e) {
|
|
| 55 |
+ document.getElementById("message").textContent = "Syntax error.";
|
|
| 56 |
+ shakeRow(row); |
|
| 57 |
+ return; |
|
| 58 |
+ } |
|
| 59 |
+ guessYsList.push(ys); |
|
| 60 |
+ redrawAll(); |
|
| 61 |
+ const close = closeEnough(ys, targetYs); |
|
| 62 |
+ animateFlip(currentInput, close); |
|
| 63 |
+ if (close) {
|
|
| 64 |
+ setTimeout(() => {
|
|
| 65 |
+ fillRow(currentInput, "green"); |
|
| 66 |
+ winMessage(); |
|
| 67 |
+ }, 300 * tl); |
|
| 68 |
+ return; |
|
| 69 |
+ } |
|
| 70 |
+ currentRow++; |
|
| 71 |
+ if (currentRow >= maxGuesses) loseMessage(); |
|
| 72 |
+ currentInput = []; |
|
| 73 |
+} |
|
| 74 |
+ |
|
| 75 |
+function animateFlip(tokens, close) {
|
|
| 76 |
+ const row = grid.rows[currentRow]; |
|
| 77 |
+ const colors = Array(tl); |
|
| 78 |
+ if (close) {
|
|
| 79 |
+ colors.fill("green");
|
|
| 80 |
+ } else {
|
|
| 81 |
+ const freq = {};
|
|
| 82 |
+ for (const t of target) freq[t] = (freq[t] || 0) + 1; |
|
| 83 |
+ colors.fill("grey");
|
|
| 84 |
+ for (let i = 0; i < tl; i++) {
|
|
| 85 |
+ if (tokens[i] === target[i]) {
|
|
| 86 |
+ colors[i] = "green"; |
|
| 87 |
+ freq[tokens[i]]--; |
|
| 88 |
+ } |
|
| 89 |
+ } |
|
| 90 |
+ for (let i = 0; i < tl; i++) {
|
|
| 91 |
+ if (colors[i] === "grey" && freq[tokens[i]] > 0) {
|
|
| 92 |
+ colors[i] = "yellow"; |
|
| 93 |
+ freq[tokens[i]]--; |
|
| 94 |
+ } |
|
| 95 |
+ } |
|
| 96 |
+ } |
|
| 97 |
+ tokens.forEach((token, i) => {
|
|
| 98 |
+ const cell = row.cells[i]; |
|
| 99 |
+ setTimeout(() => {
|
|
| 100 |
+ cell.style.transform = "rotateX(90deg)"; |
|
| 101 |
+ setTimeout(() => {
|
|
| 102 |
+ cell.classList.add(colors[i]); |
|
| 103 |
+ cell.style.transform = "rotateX(0deg)"; |
|
| 104 |
+ }, 150); |
|
| 105 |
+ }, 150 * i); |
|
| 106 |
+ }); |
|
| 107 |
+} |
|
| 108 |
+ |
|
| 109 |
+function fillRow(tokens, cls) {
|
|
| 110 |
+ const row = grid.rows[currentRow]; |
|
| 111 |
+ for (let i = 0; i < tl; i++) {
|
|
| 112 |
+ const cell = row.cells[i]; |
|
| 113 |
+ cell.textContent = tokens[i]; |
|
| 114 |
+ cell.classList.add(cls); |
|
| 115 |
+ } |
|
| 116 |
+} |
|
| 117 |
+ |
|
| 118 |
+function evalPostfix(tokens, x) {
|
|
| 119 |
+ const s = []; |
|
| 120 |
+ for (const t of tokens) {
|
|
| 121 |
+ if (t === "x") s.push(x); |
|
| 122 |
+ else if (t === "1") s.push(1); |
|
| 123 |
+ else if (t === "2") s.push(2); |
|
| 124 |
+ else if (allowed.unary.includes(t)) {
|
|
| 125 |
+ if (s.length < 1) throw 0; |
|
| 126 |
+ const v = s.pop(); |
|
| 127 |
+ if (t === "^2") s.push(v ** 2); |
|
| 128 |
+ if (t === "^3") s.push(v ** 3); |
|
| 129 |
+ if (t === "sin") s.push(Math.sin(v)); |
|
| 130 |
+ if (t === "exp") s.push(Math.exp(v)); |
|
| 131 |
+ if (t === "ln") s.push(Math.log(v)); |
|
| 132 |
+ } else if (allowed.binary.includes(t)) {
|
|
| 133 |
+ if (s.length < 2) throw 0; |
|
| 134 |
+ const b = s.pop(), a = s.pop(); |
|
| 135 |
+ if (t === "+") s.push(a + b); |
|
| 136 |
+ if (t === "-") s.push(a - b); |
|
| 137 |
+ if (t === "*") s.push(a * b); |
|
| 138 |
+ if (t === "/") s.push(a / b); |
|
| 139 |
+ } else throw 0; |
|
| 140 |
+ } |
|
| 141 |
+ if (s.length !== 1) throw 0; |
|
| 142 |
+ return s[0]; |
|
| 143 |
+} |
|
| 144 |
+ |
|
| 145 |
+function rand(l) {
|
|
| 146 |
+ return l[Math.floor(l.length * Math.random())]; |
|
| 147 |
+} |
|
| 148 |
+ |
|
| 149 |
+function generateExpr(len = tl, force = true) {
|
|
| 150 |
+ if (len == 1) {
|
|
| 151 |
+ return force ? ["x"] : [rand(allowed.terminals)]; |
|
| 152 |
+ } else if (len == 2 || Math.random() >= 0.5) {
|
|
| 153 |
+ const e = generateExpr(len - 1, force); |
|
| 154 |
+ e.push(rand(evalPostfix(e, 0.6) == 1 ? ["sin", "exp"] : allowed.unary)); |
|
| 155 |
+ return e; |
|
| 156 |
+ } else {
|
|
| 157 |
+ const k = Math.floor(1 + (len - 2) * Math.random()); |
|
| 158 |
+ const f = force && Math.random() > 0.5; |
|
| 159 |
+ const a = generateExpr(k, f); |
|
| 160 |
+ const b = generateExpr(len - 1 - k, force && !f); |
|
| 161 |
+ const one = evalPostfix(a, 0.6) == 1 || evalPostfix(b, 0.6) == 1; |
|
| 162 |
+ const e = a.concat(b) |
|
| 163 |
+ e.push(rand(one ? ["+", "-"] : allowed.binary)); |
|
| 164 |
+ return e; |
|
| 165 |
+ } |
|
| 166 |
+} |
|
| 167 |
+ |
|
| 168 |
+function closeEnough(a, b) {
|
|
| 169 |
+ for (let i = 0; i < a.length; i++) {
|
|
| 170 |
+ if (isNaN(a[i]) && !isNaN(b[i])) return false; |
|
| 171 |
+ if (Math.abs(a[i] - b[i]) > 0.1 * (Math.abs(b[i]) + 1)) return false; |
|
| 172 |
+ } |
|
| 173 |
+ return true; |
|
| 174 |
+} |
|
| 175 |
+ |
|
| 176 |
+function hideInstructions(button) {
|
|
| 177 |
+ const inst = document.getElementById("instructions");
|
|
| 178 |
+ inst.remove(); |
|
| 179 |
+ button.remove(); |
|
| 180 |
+ const heading = inst.firstElementChild; |
|
| 181 |
+ heading.remove(); |
|
| 182 |
+ const summary = document.createElement("summary");
|
|
| 183 |
+ summary.textContent = heading.textContent; |
|
| 184 |
+ const newInst = document.createElement("details");
|
|
| 185 |
+ newInst.append(summary); |
|
| 186 |
+ for (const c of inst.childNodes) newInst.append(c); |
|
| 187 |
+ container.append(newInst); |
|
| 188 |
+} |
|
| 189 |
+ |
|
| 190 |
+function winMessage() {
|
|
| 191 |
+ let boast = `Functle ${puzzleNum} ${currentRow + 1}/${maxGuesses}\n`;
|
|
| 192 |
+ for (i = 0; i <= currentRow; i++) {
|
|
| 193 |
+ r = grid.rows[i]; |
|
| 194 |
+ for (c of r.cells) {
|
|
| 195 |
+ const l = c.classList; |
|
| 196 |
+ let p = "?"; |
|
| 197 |
+ for (o in boxes) if (l.contains(o)) p = boxes[o]; |
|
| 198 |
+ boast = boast + p; |
|
| 199 |
+ } |
|
| 200 |
+ boast = boast + "\n"; |
|
| 201 |
+ } |
|
| 202 |
+ boast = boast + "https://DKL9.net/functle/"; |
|
| 203 |
+ navigator.clipboard.writeText(boast); |
|
| 204 |
+ const w = document.createElement("section");
|
|
| 205 |
+ w.append(`${congrats[currentRow]}! Share your score. It's on your clipboard. `);
|
|
| 206 |
+ const b = document.createElement("button");
|
|
| 207 |
+ b.textContent = "Copy again"; |
|
| 208 |
+ b.type = "button"; |
|
| 209 |
+ b.addEventListener("click", () => navigator.clipboard.writeText(boast));
|
|
| 210 |
+ w.append(b); |
|
| 211 |
+ container.prepend(w); |
|
| 212 |
+} |
|
| 213 |
+ |
|
| 214 |
+function loseMessage() {
|
|
| 215 |
+ const d = document.createElement("p");
|
|
| 216 |
+ d.textContent = `Better luck next time. The function was ${target.join(" ")}`;
|
|
| 217 |
+ container.prepend(d); |
|
| 218 |
+} |
| ... | ... |
@@ -0,0 +1,46 @@ |
| 1 |
+const keyToToken = { x:"x", 1:"1", 2:"2", q:"^2", c:"^3", s:"sin", e:"exp", l:"ln", "+":"+", "-":"-", "*":"*", "/":"/" };
|
|
| 2 |
+const maxGuesses = 6; |
|
| 3 |
+ |
|
| 4 |
+function shakeRow(row) {
|
|
| 5 |
+ row.classList.remove("shake");
|
|
| 6 |
+ void row.offsetWidth; |
|
| 7 |
+ row.classList.add("shake");
|
|
| 8 |
+} |
|
| 9 |
+ |
|
| 10 |
+const grid = document.getElementById("grid");
|
|
| 11 |
+for (let i = 0; i < maxGuesses; i++) {
|
|
| 12 |
+ const tr = document.createElement("tr");
|
|
| 13 |
+ for (let j = 0; j < tl; j++) {
|
|
| 14 |
+ const td = document.createElement("td");
|
|
| 15 |
+ tr.appendChild(td); |
|
| 16 |
+ } |
|
| 17 |
+ grid.appendChild(tr); |
|
| 18 |
+} |
|
| 19 |
+ |
|
| 20 |
+let currentRow = 0; |
|
| 21 |
+let currentInput = []; |
|
| 22 |
+ |
|
| 23 |
+document.addEventListener("keyup", e => {
|
|
| 24 |
+ const row = grid.rows[currentRow]; |
|
| 25 |
+ if (e.key === "Backspace") {
|
|
| 26 |
+ if (currentInput.length > 0) {
|
|
| 27 |
+ currentInput.pop(); |
|
| 28 |
+ row.cells[currentInput.length].textContent = ""; |
|
| 29 |
+ } else {
|
|
| 30 |
+ shakeRow(row); |
|
| 31 |
+ } |
|
| 32 |
+ } else if (e.key === "Enter") {
|
|
| 33 |
+ submitGuess(); |
|
| 34 |
+ } else if (keyToToken.hasOwnProperty(e.key)) {
|
|
| 35 |
+ if (currentRow >= maxGuesses) {
|
|
| 36 |
+ } else if (currentInput.length < tl) {
|
|
| 37 |
+ const token = keyToToken[e.key]; |
|
| 38 |
+ currentInput.push(token); |
|
| 39 |
+ const c = row.cells[currentInput.length - 1]; |
|
| 40 |
+ c.style.fontSize = `${3.5 - 0.5 * token.length}em`;
|
|
| 41 |
+ c.textContent = token; |
|
| 42 |
+ } else {
|
|
| 43 |
+ shakeRow(row); |
|
| 44 |
+ } |
|
| 45 |
+ } |
|
| 46 |
+}); |
| ... | ... |
@@ -0,0 +1,68 @@ |
| 1 |
+const width = 400, height = 400; |
|
| 2 |
+const ctx = document.getElementById("plot").getContext("2d");
|
|
| 3 |
+const bound = 10; |
|
| 4 |
+const xs = []; |
|
| 5 |
+const targetYs = []; |
|
| 6 |
+for (let i = 0; i <= width; i++) {
|
|
| 7 |
+ const x = bound * (2 * i / width - 1); |
|
| 8 |
+ xs.push(x); |
|
| 9 |
+ const yv = evalPostfix(target, x); |
|
| 10 |
+ targetYs.push(yv); |
|
| 11 |
+} |
|
| 12 |
+const clampLow = 1.5; |
|
| 13 |
+const clampHigh = 20; |
|
| 14 |
+let yMin = Math.min(...targetYs); |
|
| 15 |
+let yMax = Math.max(...targetYs); |
|
| 16 |
+if (isNaN(yMin) || yMin < -clampHigh) yMin = -clampHigh; |
|
| 17 |
+else if (yMin > -clampLow) yMin = -clampLow; |
|
| 18 |
+if (isNaN(yMax) || yMax > clampHigh) yMax = clampHigh; |
|
| 19 |
+else if (yMax < clampLow) yMax = clampLow; |
|
| 20 |
+const guessYsList = []; |
|
| 21 |
+const darkTheme = matchMedia('(prefers-color-scheme: dark)').matches;
|
|
| 22 |
+ |
|
| 23 |
+redrawAll(); |
|
| 24 |
+ |
|
| 25 |
+function drawAxes() {
|
|
| 26 |
+ ctx.clearRect(0, 0, width, height); |
|
| 27 |
+ ctx.beginPath(); |
|
| 28 |
+ const y0 = mapY(0); |
|
| 29 |
+ ctx.moveTo(0, y0); |
|
| 30 |
+ ctx.lineTo(width, y0); |
|
| 31 |
+ const x0 = mapX(0); |
|
| 32 |
+ ctx.moveTo(x0, 0); |
|
| 33 |
+ ctx.lineTo(x0, height); |
|
| 34 |
+ [1, -1].forEach(val => {
|
|
| 35 |
+ const px = mapX(val); |
|
| 36 |
+ ctx.moveTo(px, y0 - 5); |
|
| 37 |
+ ctx.lineTo(px, y0 + 5); |
|
| 38 |
+ }); |
|
| 39 |
+ [1, -1].forEach(val => {
|
|
| 40 |
+ const py = mapY(val); |
|
| 41 |
+ ctx.moveTo(x0 - 5, py); |
|
| 42 |
+ ctx.lineTo(x0 + 5, py); |
|
| 43 |
+ }); |
|
| 44 |
+ ctx.lineWidth = 1; |
|
| 45 |
+ ctx.strokeStyle = darkTheme ? "white" : "black"; |
|
| 46 |
+ ctx.stroke(); |
|
| 47 |
+} |
|
| 48 |
+ |
|
| 49 |
+function drawCurve(ys, color, width = 4) {
|
|
| 50 |
+ ctx.beginPath(); |
|
| 51 |
+ for (let i = 0; i < xs.length; i++) {
|
|
| 52 |
+ const px = mapX(xs[i]), py = mapY(ys[i]); |
|
| 53 |
+ if (i === 0) ctx.moveTo(px, py); |
|
| 54 |
+ else ctx.lineTo(px, py); |
|
| 55 |
+ } |
|
| 56 |
+ ctx.lineWidth = width; |
|
| 57 |
+ ctx.strokeStyle = color; |
|
| 58 |
+ ctx.stroke(); |
|
| 59 |
+} |
|
| 60 |
+ |
|
| 61 |
+function redrawAll() {
|
|
| 62 |
+ drawAxes(); |
|
| 63 |
+ drawCurve(targetYs, darkTheme ? "lime" : "green"); |
|
| 64 |
+ guessYsList.forEach((ys, idx) => drawCurve(ys, "red", (idx < guessYsList.length - 1) ? 1 : 4)); |
|
| 65 |
+} |
|
| 66 |
+ |
|
| 67 |
+function mapX(x) { return (x + bound) / (2 * bound) * width; }
|
|
| 68 |
+function mapY(y) { return height - (y - yMin) / (yMax - yMin) * height; }
|
|
| 0 | 69 |