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2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2177 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 2196 2197 2198 2199 2200 2201 | <!DOCTYPE html>
<html lang="zh-TW">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0, maximum-scale=1.0, user-scalable=no">
<title>能源核心 - The Energy Core</title>
<!-- Google Fonts -->
<link rel="preconnect" href="https://fonts.googleapis.com">
<link rel="preconnect" href="https://fonts.gstatic.com" crossorigin>
<link
href="https://fonts.googleapis.com/css2?family=Noto+Sans+TC:wght@400;700;900&family=Orbitron:wght@400;700&display=swap"
rel="stylesheet">
<!-- Tailwind CSS -->
<script src="https://cdn.tailwindcss.com"></script>
<style>
:root {
--glass-bg: rgba(8, 51, 68, 0.85);
/* Dark Cyan */
--glass-border: rgba(6, 182, 212, 0.3);
/* Cyan Border */
}
body {
font-family: 'Noto Sans TC', sans-serif;
background-color: #051015;
/* Slate 900 */
color: white;
overflow: hidden;
/* No scrollbars */
-webkit-user-select: none;
user-select: none;
/* Global Background */
background-image: url('Assets/index/functionbg.png');
background-size: cover;
background-position: center;
background-repeat: no-repeat;
background-attachment: fixed;
}
/* Dark overlay for the whole page */
#global-overlay {
position: fixed;
top: 0;
left: 0;
width: 100vw;
height: 100vh;
height: 100dvh;
background: rgba(5, 16, 21, 0.6);
/* Semi-transparent Slate 900 */
z-index: -1;
}
/* Canvas as fixed background behind UI but above bg image */
#gameCanvas {
position: fixed;
top: 0;
left: 0;
width: 100vw;
height: 100vh;
height: 100dvh;
z-index: 0;
}
/* Removed legacy .dialogue-default and #formula-banner positioning */
/* Layout is now handled by #dialogue-container utility classes in HTML */
#dialogue-box.translate-y-full {
transform: translateY(150%);
}
/* Tech UI Styling */
.glass-panel {
background: var(--glass-bg);
backdrop-filter: blur(12px);
-webkit-backdrop-filter: blur(12px);
border: 1px solid var(--glass-border);
border-radius: 16px;
box-shadow: 0 4px 6px -1px rgba(0, 0, 0, 0.5), 0 2px 4px -1px rgba(0, 0, 0, 0.5);
}
.font-tech {
font-family: 'Orbitron', sans-serif;
}
/* Input Styling */
.tech-input {
background: rgba(15, 23, 42, 0.8);
border: 1px solid #475569;
color: #22d3ee;
font-family: 'Orbitron', sans-serif;
transition: all 0.3s ease;
text-align: center;
}
.tech-input:focus {
outline: none;
border-color: #22d3ee;
box-shadow: 0 0 10px rgba(34, 211, 238, 0.3);
}
/* Hide Scrollbar completely */
::-webkit-scrollbar {
display: none;
}
* {
-ms-overflow-style: none;
scrollbar-width: none;
}
/* Virtual Keypad */
#virtual-keypad {
position: fixed;
bottom: 20px;
right: 20px;
left: auto;
/* Remove centering */
transform: translateY(120%);
/* Start hidden down */
z-index: 1000;
background: rgba(15, 23, 42, 0.95);
backdrop-filter: blur(10px);
-webkit-backdrop-filter: blur(10px);
border: 1px solid rgba(34, 211, 238, 0.3);
border-radius: 20px;
padding: 16px;
display: grid;
grid-template-columns: repeat(3, 1fr);
gap: 12px;
box-shadow: 0 10px 30px rgba(0, 0, 0, 0.5);
transition: transform 0.3s cubic-bezier(0.4, 0, 0.2, 1);
/* Dragging */
touch-action: none;
}
#virtual-keypad.active {
transform: translateX(-50%) translateY(0);
}
#virtual-keypad.dragging {
transition: none;
transform: none;
/* Controlled by JS during drag */
}
.keypad-handle {
grid-column: span 3;
height: 20px;
margin-bottom: 5px;
background: rgba(255, 255, 255, 0.2);
border-radius: 10px;
cursor: grab;
display: flex;
justify-content: center;
align-items: center;
}
.keypad-handle::after {
content: '';
width: 40px;
height: 4px;
background: rgba(255, 255, 255, 0.4);
border-radius: 2px;
}
.keypad-btn {
width: 60px;
height: 60px;
border-radius: 12px;
background: rgba(30, 41, 59, 0.6);
border: 1px solid rgba(148, 163, 184, 0.2);
color: white;
font-size: 24px;
font-weight: bold;
font-family: 'Orbitron', sans-serif;
display: flex;
align-items: center;
justify-content: center;
cursor: pointer;
transition: all 0.1s;
user-select: none;
}
.keypad-btn:active {
transform: scale(0.95);
background: rgba(34, 211, 238, 0.2);
}
.keypad-btn.action {
background: rgba(15, 23, 42, 0.8);
border-color: rgba(34, 211, 238, 0.4);
color: #22d3ee;
}
.keypad-btn.submit {
background: rgba(6, 182, 212, 0.8);
color: white;
grid-column: span 3;
width: 100%;
height: 50px;
font-size: 18px;
margin-top: 4px;
}
</style>
</head>
<body>
<!-- Global Dark Overlay -->
<div id="global-overlay"></div>
<!-- Background Canvas -->
<canvas id="gameCanvas"></canvas>
<!-- UI HUD -->
<div class="fixed top-4 right-4 z-50">
<a href="index.html"
class="glass-panel rounded-xl px-3 py-2 flex items-center justify-center text-amber-400 hover:bg-slate-800 transition-colors border border-amber-500/30 pointer-events-auto shadow-lg bg-slate-900/80">
<svg xmlns="http://www.w3.org/2000/svg" class="h-6 w-6" fill="none" viewBox="0 0 24 24"
stroke="currentColor">
<path stroke-linecap="round" stroke-linejoin="round" stroke-width="2"
d="M3 12l2-2m0 0l7-7 7 7M5 10v10a1 1 0 001 1h3m10-11l2 2m-2-2v10a1 1 0 01-1 1h-3m-6 0a1 1 0 001-1v-4a1 1 0 011-1h2a1 1 0 011 1v4a1 1 0 001 1m-6 0h6" />
</svg>
</a>
</div>
<!-- Main UI Container -->
<div id="ui-container" class="fixed inset-0 z-10 pointer-events-none">
<!--
Dialogue Container:
- Anchored Vertically Centered Left (Desktop/Tablet)
- Flex Column to stack Banner on top of Box
-->
<div id="dialogue-container"
class="fixed top-1/2 left-4 right-4 md:left-12 md:right-auto md:w-auto -translate-y-1/2 flex flex-col gap-4 items-center md:items-start pointer-events-none z-40">
<!-- Formula Banner -->
<div id="formula-banner" class="hidden pointer-events-auto w-full transition-opacity duration-500">
<div
class="glass-panel px-6 py-4 md:px-8 md:py-5 rounded-3xl border-2 border-cyan-500/30 flex items-center justify-center gap-6 shadow-[0_0_20px_rgba(34,211,238,0.2)]">
<span
class="text-base md:text-xl text-slate-400 font-bold tracking-widest whitespace-nowrap">核心運作法則</span>
<div class="flex items-center gap-1 md:gap-2 text-3xl md:text-4xl font-bold font-tech">
<span class="text-cyan-400">y</span>
<span class="text-slate-500">=</span>
<span class="text-slate-200">2</span>
<span class="text-amber-400">x</span>
<span class="text-slate-500">+</span>
<span class="text-slate-200">3</span>
</div>
</div>
</div>
<!-- Interactive Dialogue Box -->
<div id="dialogue-box"
class="pointer-events-auto w-full glass-panel rounded-3xl p-6 md:p-8 transform transition-all duration-500 translate-y-20 opacity-0 min-h-[200px] flex flex-col justify-center shadow-[0_0_50px_rgba(0,0,0,0.5)] bg-slate-900/90 frame-border">
<!-- Dynamic Content Injected Here -->
</div>
</div>
</div>
<!-- Start Overlay -->
<div id="start-overlay"
class="fixed inset-0 z-50 flex items-center justify-center bg-slate-900/40 backdrop-blur-sm">
<div class="text-center relative z-10">
<h1
class="text-6xl md:text-8xl font-black text-white mb-2 tracking-widest drop-shadow-[0_0_15px_rgba(34,211,238,0.8)]">
能源核心
</h1>
<h2
class="text-3xl md:text-4xl font-bold font-tech text-cyan-400 mb-8 tracking-[0.5em] uppercase opacity-80">
Energy Core
</h2>
<button onclick="startGame()"
class="group relative px-10 py-4 bg-cyan-600/80 hover:bg-cyan-500 text-white font-bold rounded-xl transition-all shadow-[0_0_20px_rgba(6,182,212,0.4)] text-3xl tracking-widest border border-cyan-400/50 backdrop-blur-sm overflow-hidden">
<span class="relative z-10">進入核心</span>
<div
class="absolute inset-0 bg-gradient-to-r from-transparent via-white/20 to-transparent -translate-x-full group-hover:animate-shimmer">
</div>
</button>
</div>
</div>
<!-- Credits -->
<div class="fixed top-2 right-2 text-right text-[10px] text-slate-500 z-50">
<div>Designed by L.Star</div>
</div>
<!-- Virtual Keypad HTML -->
<div id="virtual-keypad" onclick="event.stopPropagation()">
<div class="keypad-handle"></div>
<div class="keypad-btn" onclick="keypad.input(1)">1</div>
<div class="keypad-btn" onclick="keypad.input(2)">2</div>
<div class="keypad-btn" onclick="keypad.input(3)">3</div>
<div class="keypad-btn" onclick="keypad.input(4)">4</div>
<div class="keypad-btn" onclick="keypad.input(5)">5</div>
<div class="keypad-btn" onclick="keypad.input(6)">6</div>
<div class="keypad-btn" onclick="keypad.input(7)">7</div>
<div class="keypad-btn" onclick="keypad.input(8)">8</div>
<div class="keypad-btn" onclick="keypad.input(9)">9</div>
<div class="keypad-btn action" onclick="keypad.input('-')">-</div>
<div class="keypad-btn" onclick="keypad.input(0)">0</div>
<div class="keypad-btn action" onclick="keypad.backspace()">⌫</div>
<div class="keypad-btn submit" onclick="keypad.next()">下一格 / 完成 (ENTER)</div>
</div>
<script>
const canvas = document.getElementById('gameCanvas');
const ctx = canvas.getContext('2d');
let width, height;
// --- Virtual Keypad System ---
const keypad = {
element: null,
targetInput: null,
init: function () {
this.element = document.getElementById('virtual-keypad');
// Prevent click bubbling from keypad to document (stops accidental closes if logic fails)
this.element.addEventListener('click', (e) => e.stopPropagation());
// Auto-close when clicking outside
document.addEventListener('click', (e) => {
if (this.element.classList.contains('active') &&
!this.element.contains(e.target) &&
e.target !== this.targetInput &&
!e.target.classList.contains('keypad-btn')) {
this.close();
}
});
// --- Drag Logic ---
const handle = this.element.querySelector('.keypad-handle');
this.isDragging = false;
this.startX = 0; this.startY = 0;
this.offsetX = 0; this.offsetY = 0;
const startDrag = (e) => {
// Prevent text selection/scrolling on touch
if (e.type === 'touchstart' && e.cancelable) e.preventDefault();
this.isDragging = true;
this.element.classList.add('dragging');
const clientX = e.type.includes('mouse') ? e.clientX : e.touches[0].clientX;
const clientY = e.type.includes('mouse') ? e.clientY : e.touches[0].clientY;
const rect = this.element.getBoundingClientRect();
this.offsetX = clientX - rect.left;
this.offsetY = clientY - rect.top;
// Add listeners to document for smooth dragging outside element
document.addEventListener(e.type.includes('mouse') ? 'mousemove' : 'touchmove', doDrag, { passive: false });
document.addEventListener(e.type.includes('mouse') ? 'mouseup' : 'touchend', endDrag);
};
const doDrag = (e) => {
if (!this.isDragging) return;
e.preventDefault(); // Critical for stopping scroll on mobile
const clientX = e.type.includes('mouse') ? e.clientX : e.touches[0].clientX;
const clientY = e.type.includes('mouse') ? e.clientY : e.touches[0].clientY;
// Absolute positioning
this.element.style.transform = 'none';
this.element.style.bottom = 'auto'; // Clear bottom
this.element.style.right = 'auto'; // Clear right
this.element.style.left = (clientX - this.offsetX) + 'px';
this.element.style.top = (clientY - this.offsetY) + 'px';
};
const endDrag = (e) => {
this.isDragging = false;
this.element.classList.remove('dragging');
document.removeEventListener('mousemove', doDrag);
document.removeEventListener('touchmove', doDrag);
document.removeEventListener('mouseup', endDrag);
document.removeEventListener('touchend', endDrag);
};
// Attach start listeners
if (handle) {
handle.addEventListener('mousedown', startDrag);
handle.addEventListener('touchstart', startDrag, { passive: false });
handle.style.cursor = 'grab';
}
},
open: function (inputElement) {
this.targetInput = inputElement;
this.element.classList.add('active');
// Highlight input
document.querySelectorAll('.tech-input').forEach(el => el.classList.remove('border-amber-400', 'ring-2', 'ring-amber-400'));
inputElement.classList.add('border-amber-400', 'ring-2', 'ring-amber-400');
},
close: function () {
this.element.classList.remove('active');
if (this.targetInput) {
this.targetInput.classList.remove('border-amber-400', 'ring-2', 'ring-amber-400');
// Trigger change event if needed
this.targetInput.dispatchEvent(new Event('change'));
this.targetInput = null;
}
},
input: function (val) {
if (!this.targetInput) return;
let currentVal = this.targetInput.value;
if (val === '-') {
if (currentVal.startsWith('-')) this.targetInput.value = currentVal.substring(1);
else this.targetInput.value = '-' + currentVal;
} else {
this.targetInput.value = currentVal + val;
}
},
backspace: function () {
if (!this.targetInput) return;
this.targetInput.value = this.targetInput.value.slice(0, -1);
},
next: function () {
if (!this.targetInput) return;
const currentId = this.targetInput.id;
if (currentId === 'final-a') {
this.open(document.getElementById('final-b'));
return;
}
this.close();
if (currentId === 'ans-input') {
if (currentState === STATE.PHASE2_Q) checkQAnswer();
else if (currentState === STATE.PHASE3_CRISIS) checkFinalAnswer();
else if (currentState === STATE.PHASE4_FIND_B) checkPhase4B();
else if (currentState === STATE.PHASE4_FIND_A) checkPhase4A();
else if (currentState === STATE.PHASE4_VERIFY) checkPhase4Verify();
} else if (currentId === 'test-input') {
runPhase4Test();
} else if (currentId === 'test-input-a') {
runPhase4TestA();
} else if (currentId === 'test-input-verify') {
if (typeof runPhase4VerifyManual === 'function') runPhase4VerifyManual();
} else if (currentId === 'final-b') {
unlockCore();
}
}
};
// Initialize immediately
keypad.init();
document.addEventListener('keydown', (e) => {
if (keypad.element && keypad.element.classList.contains('active') && keypad.targetInput) {
if (e.key >= '0' && e.key <= '9') {
keypad.input(e.key);
} else if (e.key === '-' || e.key === '_') {
keypad.input('-');
} else if (e.key === 'Backspace') {
keypad.backspace();
} else if (e.key === 'Enter' || e.key === 'Tab') {
e.preventDefault();
keypad.next();
} else if (e.key === 'Escape') {
keypad.close();
}
}
});
// Formula: y = ax + b
let currentA = 2;
let currentB = 3;
const STATE = {
INIT: 0,
STORY_BRIEF: 1,
PHASE1_INTRO: 2,
PHASE2_Q: 3, // General Question State
PHASE2_COORDINATE: 3.5, // New Step: Coordinate Confirmation
PHASE2_PATTERN: 4,
PHASE2_PREDICTION_INTRO: 4.5,
PHASE3_CRISIS: 5,
SUCCESS: 6,
PHASE4_INTRO: 8,
PHASE4_TEST_B: 8.5,
PHASE4_FIND_B: 9,
PHASE4_TEST_A: 9.5,
PHASE4_FIND_A: 10,
PHASE4_VERIFY: 11,
PHASE4_VERIFY_TEST: 11.5,
PHASE5_UNLOCK: 12,
PHASE6_INTRO: 13,
PHASE6_GAME: 14,
PHASE7_SUMMARY: 15,
FAIL: 7
};
const checkPoints = [2, 5, 1, 3, 4]; // The sequence of Xs to check
let collectedPoints = [];
let particles = [];
let graphScale = { xMax: 10, yMax: 20 };
let corePulse = 1.0;
let coreRotation = 0;
// --- Phase 6: Rhythm Game State ---
let rhythmState = {
active: false,
energy: 0, // 0 to 100
score: 0,
combo: 0,
maxCombo: 0,
circles: [], // Array of falling circles
lastSpawnTime: 0,
spawnInterval: 1200, // ms
texts: [] // Floating texts (Perfect/Good)
};
const CORE_RADIUS = 80; // Acceptance radius (Matches visual core size)
// --- State Variables ---
let qStep = 0;
let currentState = STATE.INIT;
// Guide Arrow State
let guideArrowState = {
active: false,
startTime: 0,
targetX: 0,
targetY: 0
};
// --- Audio ---
const audioCtx = new (window.AudioContext || window.webkitAudioContext)();
function playSound(type) {
if (audioCtx.state === 'suspended') audioCtx.resume();
const now = audioCtx.currentTime;
const osc = audioCtx.createOscillator();
const gain = audioCtx.createGain();
osc.connect(gain);
gain.connect(audioCtx.destination);
if (type === 'tick') {
osc.frequency.setValueAtTime(800, now);
osc.frequency.exponentialRampToValueAtTime(1200, now + 0.05);
gain.gain.setValueAtTime(0.05, now);
gain.gain.linearRampToValueAtTime(0, now + 0.05);
osc.start(now); osc.stop(now + 0.05);
} else if (type === 'success') {
osc.type = 'sine';
osc.frequency.setValueAtTime(440, now);
osc.frequency.setValueAtTime(659, now + 0.1); // E
osc.frequency.setValueAtTime(880, now + 0.2); // A
gain.gain.setValueAtTime(0.2, now);
gain.gain.linearRampToValueAtTime(0, now + 0.5);
osc.start(now); osc.stop(now + 0.5);
} else if (type === 'alarm') {
osc.type = 'sawtooth';
osc.frequency.setValueAtTime(200, now);
osc.frequency.linearRampToValueAtTime(100, now + 0.3);
gain.gain.setValueAtTime(0.2, now);
gain.gain.linearRampToValueAtTime(0, now + 0.3);
osc.start(now); osc.stop(now + 0.3);
} else if (type === 'hit_perfect') {
// High pitch ping
osc.type = 'sine';
osc.frequency.setValueAtTime(1200, now);
osc.frequency.exponentialRampToValueAtTime(800, now + 0.1);
gain.gain.setValueAtTime(0.3, now);
gain.gain.linearRampToValueAtTime(0, now + 0.1);
osc.start(now); osc.stop(now + 0.1);
} else if (type === 'hit_good') {
// Mid pitch
osc.type = 'triangle';
osc.frequency.setValueAtTime(600, now);
gain.gain.setValueAtTime(0.2, now);
gain.gain.linearRampToValueAtTime(0, now + 0.1);
osc.start(now); osc.stop(now + 0.1);
}
}
// --- BGM System ---
let bgmNodes = [];
let isBgmPlaying = false;
function startRhythmBGM() {
if (isBgmPlaying) return;
isBgmPlaying = true;
if (audioCtx.state === 'suspended') audioCtx.resume();
// Simple "Techno" Loop using Oscillator interactions
const baseFreq = 110; // A2
const oscLow = audioCtx.createOscillator();
const oscHigh = audioCtx.createOscillator();
const gainLow = audioCtx.createGain();
const gainHigh = audioCtx.createGain();
oscLow.type = 'square';
oscLow.frequency.value = baseFreq;
oscHigh.type = 'sawtooth';
oscHigh.frequency.value = baseFreq * 2;
// LFO for rhythmic pulsing
const lfo = audioCtx.createOscillator();
lfo.type = 'square';
lfo.frequency.value = 4; // 240 BPM pulses (fast)
const lfoGain = audioCtx.createGain();
lfoGain.gain.value = 0.5;
lfo.connect(lfoGain);
lfoGain.connect(gainLow.gain);
lfoGain.connect(gainHigh.gain);
oscLow.connect(gainLow);
oscHigh.connect(gainHigh);
gainLow.connect(audioCtx.destination);
gainHigh.connect(audioCtx.destination);
// Base volume
gainLow.gain.setValueAtTime(0.1, audioCtx.currentTime);
gainHigh.gain.setValueAtTime(0.05, audioCtx.currentTime);
oscLow.start();
oscHigh.start();
lfo.start();
bgmNodes = [oscLow, oscHigh, lfo];
}
function stopRhythmBGM() {
if (!isBgmPlaying) return;
bgmNodes.forEach(node => {
try { node.stop(); } catch (e) { }
try { node.disconnect(); } catch (e) { }
});
bgmNodes = [];
isBgmPlaying = false;
}
// --- Lifecycle ---
function startGame() {
// Robust Audio Unlock
if (audioCtx.state === 'suspended') {
audioCtx.resume().then(() => {
const osc = audioCtx.createOscillator();
const gain = audioCtx.createGain();
gain.gain.value = 0;
osc.connect(gain);
gain.connect(audioCtx.destination);
osc.start(0);
osc.stop(0.1);
console.log("Audio Context Resumed");
playSound('tick');
});
} else {
playSound('tick');
}
// Try to enter fullscreen
try {
if (document.documentElement.requestFullscreen) {
document.documentElement.requestFullscreen().catch(e => {
console.log("Fullscreen request failed (likely user denied):", e);
});
} else if (document.documentElement.webkitRequestFullscreen) { /* Safari */
document.documentElement.webkitRequestFullscreen();
} else if (document.documentElement.msRequestFullscreen) { /* IE11 */
document.documentElement.msRequestFullscreen();
}
} catch (err) {
console.log("Fullscreen not supported or allowed");
}
document.getElementById('start-overlay').classList.add('hidden');
resize();
window.addEventListener('resize', resize);
// Input for Rhythm Game
window.addEventListener('keydown', (e) => {
if (e.code === 'Space' && currentState === STATE.PHASE6_GAME) {
handleRhythmInput();
}
});
window.addEventListener('mousedown', (e) => {
if (currentState === STATE.PHASE6_GAME) {
handleRhythmInput();
}
});
window.addEventListener('touchstart', (e) => {
if (currentState === STATE.PHASE6_GAME) {
handleRhythmInput();
e.preventDefault(); // Prevent zoom/scroll
}
}, { passive: false });
loop();
enterPhase(STATE.STORY_BRIEF);
}
function resize() {
const dpr = window.devicePixelRatio || 1;
width = window.innerWidth;
height = window.innerHeight;
// Fix resolution on high-DPI displays
canvas.width = width * dpr;
canvas.height = height * dpr;
canvas.style.width = width + 'px';
canvas.style.height = height + 'px';
// Reset scale before applying new one
ctx.setTransform(1, 0, 0, 1, 0, 0);
ctx.scale(dpr, dpr);
}
function drawGuideArrows() {
const now = Date.now();
const elapsed = (now - guideArrowState.startTime) / 1000;
const duration = 2.0; // Show for 2 seconds
if (elapsed > duration) {
guideArrowState.active = false;
return;
}
const tx = guideArrowState.targetX;
const ty = guideArrowState.targetY;
const isDesktop = width > 768;
// Convert graph coords to canvas coords
// Logic sync with drawGraph
const padding = 60;
const gw = isDesktop ? width * 0.53 : Math.min(600, width - 40);
const gh = isDesktop ? height * 0.6 : Math.min(400, height * 0.5);
// On Desktop, position graph on the right side (Start at 44% width)
// On Mobile, center it
const gx = isDesktop ? (width * 0.44) : (width - gw) / 2;
const gy = isDesktop ? height * 0.2 : height * 0.1;
const ox = gx + padding;
const oy = gy + gh - padding;
const drawW = gw - padding * 2;
const drawH = gh - padding * 2;
const unitX = drawW / graphScale.xMax;
const unitY = drawH / graphScale.yMax;
const canvasX = ox + tx * unitX;
const canvasY = oy - ty * unitY;
const progress = Math.min(elapsed * 2, 1); // Animate in quickly
ctx.save();
ctx.lineWidth = 4;
ctx.lineCap = 'round';
// Draw X-axis Arrow (Amber, Up)
ctx.strokeStyle = '#F59E0B'; // Amber-500
ctx.fillStyle = '#F59E0B';
ctx.beginPath();
ctx.moveTo(canvasX, oy); // Start from X-axis
ctx.lineTo(canvasX, oy - (oy - canvasY) * progress);
ctx.stroke();
// Draw Arrowhead if fully extended
if (progress > 0.8) {
ctx.beginPath();
ctx.moveTo(canvasX, canvasY + 10);
ctx.lineTo(canvasX - 5, canvasY + 20);
ctx.lineTo(canvasX + 5, canvasY + 20);
ctx.fill();
}
// Draw Y-axis Arrow (Cyan, Right)
ctx.strokeStyle = '#22D3EE'; // Cyan-400
ctx.fillStyle = '#22D3EE';
ctx.beginPath();
ctx.moveTo(ox, canvasY); // Start from Y-axis
ctx.lineTo(ox + (canvasX - ox) * progress, canvasY);
ctx.stroke();
// Draw Arrowhead
if (progress > 0.8) {
ctx.beginPath();
ctx.moveTo(canvasX - 10, canvasY);
ctx.lineTo(canvasX - 20, canvasY - 5);
ctx.lineTo(canvasX - 20, canvasY + 5);
ctx.fill();
}
// Highlight Point
if (progress > 0.9) {
ctx.beginPath();
ctx.arc(canvasX, canvasY, 8, 0, Math.PI * 2);
ctx.fillStyle = '#FFFFFF';
ctx.fill();
ctx.strokeStyle = '#F59E0B';
ctx.stroke();
}
ctx.restore();
}
// --- State Management ---
function enterPhase(phase) {
if (window.keypad) keypad.close(); // Auto-close keypad on any phase change
currentState = phase;
updateUI();
}
function updateUI(errorMsg = null) {
const box = document.getElementById('dialogue-box');
const container = document.getElementById('dialogue-container');
const formulaBanner = document.getElementById('formula-banner');
// Default Container State:
// Desktop: Fixed Left Side (Start 2%, Width 46%). Vertically Centered.
// Reduced gap: Left ends at 40%, Right starts at 48%.
container.className = "fixed z-40 left-4 right-4 top-1/2 -translate-y-1/2 md:translate-y-0 md:top-0 md:bottom-0 md:left-[5%] md:right-auto md:w-[35%] flex flex-col gap-6 justify-center items-center pointer-events-none";
// Default Box State
box.className = "pointer-events-auto w-full glass-panel rounded-3xl p-6 md:p-8 transform transition-all duration-500 min-h-[200px] flex flex-col justify-center shadow-[0_0_50px_rgba(0,0,0,0.5)] bg-slate-900/90 frame-border";
// Specific overrides
if (currentState === STATE.PHASE7_SUMMARY) {
// Summary: Center Screen
container.className = "fixed inset-0 flex items-center justify-center pointer-events-auto z-50";
box.className = "w-[95%] md:w-[800px] glass-panel rounded-3xl p-8 transition-all duration-500 min-h-[400px] flex flex-col justify-start shadow-[0_0_80px_rgba(0,0,0,0.8)] bg-slate-900/95 frame-border relative";
} else if (currentState === STATE.PHASE6_GAME) {
box.classList.add('hidden');
container.classList.add('hidden');
} else if (currentState === STATE.STORY_BRIEF) {
// Story Brief: Remove fixed width, use full container width
// box.classList.add('md:w-[600px]'); // REMOVED
box.classList.remove('hidden');
container.classList.remove('hidden');
} else {
// Normal Phase: Allow full width (controlled by container)
// box.classList.add('md:w-[480px]'); // REMOVED
formulaBanner.className = "hidden pointer-events-auto w-full transition-opacity duration-500";
box.classList.remove('hidden');
container.classList.remove('hidden');
}
box.classList.remove('translate-y-full', 'opacity-0');
let html = '';
switch (currentState) {
case STATE.STORY_BRIEF:
formulaBanner.classList.add('hidden');
html = `
<h2 class="text-4xl font-bold text-amber-400 mb-6">MATH CITY 電力危機</h2>
<p class="text-slate-200 text-3xl leading-relaxed mb-8">
能源核心是整個城市的電力來源，但現在供電系統出了一些問題，需要你來協助修復。<br><br>
但在正式維修前，我們需要先檢測你的運算能力。
</p>
<button onclick="enterPhase(STATE.PHASE1_INTRO)" class="w-full py-5 bg-cyan-600 hover:bg-cyan-500 text-white rounded-xl font-bold text-3xl shadow-lg">
開始檢測能力
</button>
`;
break;
case STATE.PHASE1_INTRO:
formulaBanner.classList.remove('hidden');
html = `
<h2 class="text-2xl md:text-3xl font-bold text-cyan-400 mb-4">核心運作法則確認</h2>
<div class="text-center bg-slate-800/80 p-6 rounded-xl border border-cyan-500/30 mb-8">
<div class="font-tech text-2xl md:text-4xl mb-6">
<span class="text-cyan-400">y</span> = 2<span class="text-amber-400">x</span> + 3
</div>
<p class="text-slate-300 text-lg md:text-xl leading-relaxed font-bold">
每投入 <span class="text-amber-400 font-bold text-2xl md:text-4xl mx-2 border-b-2 border-amber-400/50">x</span> 顆晶石，<br>就會產生 <span class="text-cyan-400 font-bold text-2xl md:text-4xl mx-2 border-b-2 border-cyan-400/50">y</span> 點電力。
</p>
</div>
<button onclick="startQPhase()" class="w-full py-5 bg-slate-700 hover:bg-slate-600 text-white rounded-xl font-bold text-xl border border-slate-500">
我準備好了 (NEXT)
</button>
`;
break;
case STATE.PHASE2_Q:
formulaBanner.classList.remove('hidden');
const xVal = checkPoints[qStep];
html = `
<h3 class="text-3xl font-bold text-white mb-2 text-center">能力檢測 (${qStep + 1}/${checkPoints.length})</h3>
<div class="grid grid-cols-2 gap-6 mb-2 mt-4">
<!-- Left: Question -->
<div class="flex flex-col gap-4">
<div class="text-cyan-400 font-bold text-xl border-b border-cyan-500/30 pb-2">1. 算出電力 (y)</div>
<p class="text-slate-300 text-lg">
若投入 <span class="text-amber-400 font-bold text-2xl">${xVal}</span> <span class="text-slate-400 text-base">(<span class="text-amber-400">x=${xVal}</span>)</span> 顆晶石...
</p>
<div class="flex items-center justify-center gap-2 flex-grow">
<span class="font-tech text-3xl text-cyan-400">y = </span>
<div class="relative w-32">
<input id="ans-input" type="text" readonly onclick="keypad.open(this)" class="tech-input w-full p-2 text-3xl rounded-lg" placeholder="?" >
<div class="absolute inset-0 border-2 border-slate-500/50 rounded-lg pointer-events-none"></div>
</div>
</div>
<button onclick="checkQAnswer()" class="w-full h-16 bg-cyan-600 hover:bg-cyan-500 text-white rounded-xl font-bold text-xl shadow-lg flex items-center justify-center">
確認電力
</button>
</div>
<!-- Right: Placeholder (Visible but Inactive) -->
<div class="flex flex-col gap-4 opacity-50 grayscale">
<div class="text-slate-400 font-bold text-xl border-b border-slate-500/30 pb-2">2. 坐標描點</div>
<div class="bg-slate-800/30 p-4 rounded-xl border border-slate-700/30 flex flex-col items-center justify-center flex-grow">
<div class="text-sm text-slate-500 mb-1">對應座標</div>
<div class="font-tech text-lg md:text-xl font-bold text-slate-500">
(<span class="text-amber-400">${xVal}</span>, <span class="text-cyan-400">y</span>)
</div>
</div>
<button class="w-full h-16 bg-slate-700 text-slate-500 rounded-xl font-bold text-xl border border-slate-600 cursor-not-allowed flex items-center justify-center">
描繪點 (PLOT)
</button>
</div>
</div>
${errorMsg ? `<div class="text-red-400 text-center font-bold mt-2 border-2 border-red-400 border-dashed animate-pulse bg-slate-900/50 p-2 rounded">${errorMsg}</div>` : ''}
`;
break;
case STATE.PHASE2_COORDINATE:
formulaBanner.classList.remove('hidden');
const xValC = checkPoints[qStep];
const yValC = 2 * xValC + 3;
html = `
<h3 class="text-3xl font-bold text-white mb-2 text-center">能力檢測 (${qStep + 1}/${checkPoints.length})</h3>
<div class="grid grid-cols-2 gap-6 mb-2 mt-4">
<!-- Left: Math Result (Confirmed) -->
<div class="flex flex-col gap-4 opacity-60 grayscale-[0.5] pointer-events-none">
<div class="text-cyan-400 font-bold text-xl border-b border-cyan-500/30 pb-2">1. 算出電力 (y)</div>
<p class="text-slate-300 text-lg">
若投入 <span class="text-amber-400 font-bold text-2xl">${xValC}</span> <span class="text-slate-400 text-base">(<span class="text-amber-400">x=${xValC}</span>)</span> 顆晶石...
</p>
<div class="flex items-center justify-center gap-2 flex-grow">
<span class="font-tech text-3xl text-cyan-400">y = </span>
<div class="relative w-32">
<input type="text" class="tech-input w-full p-2 text-3xl rounded-lg bg-slate-800 text-cyan-400 border-cyan-500" value="${yValC}" disabled>
</div>
</div>
<button class="w-full h-16 bg-slate-700 text-slate-400 rounded-xl font-bold text-xl border border-slate-600 flex items-center justify-center">
已確認
</button>
</div>
<!-- Right: Coordinate (Two States) -->
<div class="flex flex-col gap-4">
<div class="text-amber-400 font-bold text-xl border-b border-amber-500/30 pb-2">2. 坐標描點</div>
<!-- Step 1: Pre-substitution -->
<div id="coord-step-1" class="flex flex-col gap-4 h-full">
<div class="bg-slate-800/80 p-4 rounded-xl border border-cyan-500/50 flex flex-col items-center justify-center flex-grow">
<div class="text-sm text-cyan-300 font-bold mb-2 tracking-widest">對應座標</div>
<div class="font-tech text-2xl md:text-4xl font-bold z-10 mb-2">
(<span class="text-amber-400">${xValC}</span>, <span class="text-cyan-400">y</span>)
</div>
</div>
<button onclick="substituteY()" class="w-full h-16 bg-indigo-600 hover:bg-indigo-500 text-white rounded-xl font-bold text-xl shadow-lg transition-colors flex items-center justify-center">
將 y 代入
</button>
</div>
<!-- Step 2: Post-substitution (Hidden initially) -->
<div id="coord-step-2" class="hidden flex flex-col gap-4 h-full">
<div class="bg-slate-800/80 p-4 rounded-xl border border-cyan-500 shadow-[0_0_20px_rgba(34,211,238,0.2)] flex flex-col items-center justify-center relative overflow-hidden transform transition-all flex-grow animate-pulse-once">
<div class="text-sm text-cyan-300 font-bold mb-2 tracking-widest">對應座標</div>
<div class="font-tech text-2xl md:text-4xl font-bold z-10 mb-2">
(<span class="text-amber-400">${xValC}</span>, <span class="text-cyan-400">${yValC}</span>)
</div>
<div class="absolute inset-0 bg-cyan-500/10 animate-pulse"></div>
</div>
<button onclick="plotCoordinate()" class="w-full h-16 bg-amber-500 hover:bg-amber-400 text-white rounded-xl font-bold text-xl shadow-lg animate-pulse whitespace-nowrap flex items-center justify-center">
描繪點 (PLOT)
</button>
</div>
</div>
</div>
`;
break;
case STATE.PHASE2_PATTERN:
formulaBanner.classList.remove('hidden'); // Ensure banner is visible
html = `
<h3 class="text-3xl font-bold text-white mb-4">規律分析</h3>
<p class="text-slate-300 mb-6">觀察圖表上的這些點，它們呈現什麼樣的排列規律？</p>
<div class="grid grid-cols-3 gap-4">
<button onclick="checkPattern('A')" class="p-4 bg-slate-800 hover:bg-slate-700 rounded-xl border border-slate-600 font-bold text-slate-300 transition-all hover:border-cyan-400 hover:text-white">
雜亂無章
</button>
<button onclick="checkPattern('B')" class="p-4 bg-slate-800 hover:bg-slate-700 rounded-xl border border-slate-600 font-bold text-slate-300 transition-all hover:border-cyan-400 hover:text-white">
圓形分佈
</button>
<button onclick="checkPattern('C')" class="p-4 bg-slate-800 hover:bg-slate-700 rounded-xl border border-slate-600 font-bold text-slate-300 transition-all hover:border-cyan-400 hover:text-white">
一條直線
</button>
</div>
`;
break;
case STATE.PHASE2_PREDICTION_INTRO:
formulaBanner.classList.remove('hidden'); // Keep banner visible
html = `
<h3 class="text-xl font-bold text-green-400 mb-4">分析完成</h3>
<div class="bg-slate-800/80 p-6 rounded-xl border border-green-500/30 mb-6">
<p class="text-slate-200 text-lg leading-relaxed font-bold">
沒錯，所有點都連成一條直線...<br>
<span class="text-cyan-400 block mt-2 text-3xl">也就是我們能預測未來！</span>
</p>
</div>
<button onclick="enterPhase(STATE.PHASE3_CRISIS)" class="w-full py-4 bg-red-600 hover:bg-red-500 text-white rounded-xl font-bold text-xl shadow-lg animate-pulse">
進入緊急狀況演練 (EMERGENCY DRILL)
</button>
`;
break;
case STATE.PHASE3_CRISIS:
formulaBanner.classList.remove('hidden');
html = `
<div class="border-l-4 border-red-500 pl-6">
<h3 class="text-3xl font-bold text-red-500 mb-2 blink-red">狀況：工業用電暴增！</h3>
<p class="text-slate-200 mb-6 text-xl">
因為工業區需求激增，系統現在需要供給 <span class="text-cyan-400 font-bold text-4xl">203</span> 點電力 <span class="text-slate-400 text-base">(<span class="text-cyan-400 font-bold">y=203</span>)</span>。
<br>根據 y=2x+3，請問要投入多少晶石 <span class="text-amber-400 font-bold">(x)</span> 才足夠？
</p>
<div class="flex items-center gap-2 mt-4 bg-slate-800/50 p-4 rounded-xl flex-wrap">
<span class="font-tech text-amber-400 text-4xl whitespace-nowrap">x = </span>
<input id="ans-input" type="text" readonly onclick="keypad.open(this)" class="tech-input flex-1 min-w-[100px] p-2 rounded text-4xl text-amber-400" placeholder="?">
<button onclick="checkFinalAnswer()" class="px-6 py-3 bg-red-600 hover:bg-red-500 text-white rounded font-bold shadow-[0_0_15px_rgba(239,68,68,0.5)] whitespace-nowrap flex-shrink-0">
投入晶石
</button>
</div>
${errorMsg ? `<div class="text-amber-300 text-center font-bold mt-2 text-xl border-2 border-amber-300 border-dashed animate-pulse bg-slate-900/50 p-2 rounded">${errorMsg}</div>` : ''}
</div>
`;
break;
case STATE.SUCCESS:
html = `
<div class="text-center">
<h2 class="text-2xl md:text-2xl font-bold text-green-400 mb-2 font-tech">SYSTEM STABILIZED</h2>
<p class="text-slate-300 mb-6 text-xl">預測成功！核心運作恢復正常。</p>
<!-- Teaching Content -->
<div class="bg-slate-800/80 p-4 rounded-xl border border-cyan-500/30 mb-6 text-left">
<h3 class="text-lg md:text-2xl font-bold text-white mb-2 text-center">任務小結：什麼是「函數」？</h3>
<p class="text-slate-200 text-base md:text-xl leading-relaxed mb-3">
剛剛我們使用的「能量轉換法則」，在數學上就叫做<span class="text-amber-400 font-bold text-xl md:text-2xl mx-1">「函數」(Function)</span>。
</p>
<p class="text-slate-300 text-base md:text-xl leading-relaxed">
函數就像一座<span class="text-cyan-400 font-bold">工廠</span>：<br>
它會把原料 <span class="font-bold text-amber-400">x (晶石)</span>，藉由固定的規則，<br>轉換成產品 <span class="font-bold text-cyan-400">y (電力)</span>。
</p>
</div>
<div class="flex flex-col gap-3 max-w-md mx-auto">
<a href="index.html" class="block w-full py-3 bg-slate-600 hover:bg-slate-500 text-white rounded-xl font-bold text-lg transition-all border border-slate-500 hover:border-white">
回到 Math City
</a>
<button onclick="enterPhase(STATE.PHASE4_INTRO)" class="relative overflow-hidden w-full py-3 bg-red-600 hover:bg-red-500 text-white rounded-xl font-bold text-lg shadow-lg group border border-red-400">
<span class="relative z-10 flex items-center justify-center gap-2">
⚠️ 修復電力系統 (進階挑戰)
</span>
<div class="absolute inset-0 bg-gradient-to-r from-transparent via-white/20 to-transparent -translate-x-full group-hover:animate-shimmer"></div>
</button>
</div>
</div>
`;
break;
case STATE.PHASE4_INTRO:
formulaBanner.classList.remove('hidden'); // Ensure banner is visible
html = `
<div class="border-l-4 border-amber-500 pl-6">
<h3 class="text-3xl font-bold text-amber-500 mb-2 blink-red">警告：公式異變！</h3>
<p class="text-slate-200 mb-6 text-xl">
檢測到晶石純度下降，能量轉換公式已改變！<br>
系統無法自動運作，你必須重新推導公式。
</p>
<div class="bg-slate-800/50 p-4 rounded-xl mb-4 border border-slate-600">
<span class="font-tech text-4xl block text-center tracking-widest">
y = <span class="text-amber-400 animate-pulse">?</span>x + <span class="text-cyan-400 animate-pulse">?</span>
</span>
</div>
<button onclick="startPhase4Deduction()" class="w-full py-3 bg-amber-600 hover:bg-amber-500 text-white rounded-xl font-bold shadow-lg">
開始推導 (Start Deduction)
</button>
</div>
`;
break;
case STATE.PHASE4_TEST_B:
formulaBanner.classList.remove('hidden'); // Ensure banner is visible
html = `
<h3 class="text-3xl font-bold text-white mb-2">步驟 1：數據校準 b</h3>
<p class="text-slate-300 mb-4">
你需要測試不同的晶石投入量，來推導出新的公式。
<br><span class="text-base text-slate-400">提示：什麼時候 <span class="text-red-400">a</span> 會消失不見？ (試試投入 0 顆)</span>
</p>
<div class="flex items-center gap-2 mt-4 bg-slate-800/50 p-4 rounded-xl justify-center flex-wrap">
<span class="font-tech text-amber-400 text-3xl whitespace-nowrap">投入 x = </span>
<input id="test-input" type="text" readonly onclick="keypad.open(this)" class="tech-input w-24 p-2 rounded text-3xl text-amber-400 text-center" placeholder="0" value="0">
<button onclick="runPhase4Test()" class="px-6 py-2 bg-amber-600 hover:bg-amber-500 text-white rounded font-bold shadow-lg whitespace-nowrap">
啟動運作
</button>
${errorMsg ? `<div class="text-amber-400 text-center font-bold mt-2 text-xl border-2 border-amber-400 border-dashed animate-pulse p-2 rounded">${errorMsg}</div>` : ''}
</div>
`;
break;
case STATE.PHASE4_FIND_B:
formulaBanner.classList.remove('hidden');
html = `
<h3 class="text-3xl font-bold text-white mb-2">步驟 1：尋找初始值 (b)</h3>
<p class="text-slate-300 mb-4 text-2xl">
當投入 <span class="text-amber-400 font-bold">0</span> 顆時，
電力顯示為 <span class="text-cyan-400 font-bold">5</span>。
<br><span class="font-tech text-3xl block mt-2"><span class="text-cyan-400">5</span> = a × <span class="text-amber-400">0</span> + b</span>
<span class="font-tech text-3xl block"><span class="text-cyan-400">5</span> = b</span>
</p>
<div class="flex items-center justify-center gap-2 text-3xl font-tech mb-6 bg-slate-800 p-4 rounded-lg">
<span>b = </span>
<input id="ans-input" type="text" readonly onclick="keypad.open(this)" class="w-24 bg-slate-700 text-cyan-400 text-center rounded border border-slate-500 focus:border-cyan-400 outline-none p-1" placeholder="?">
</div>
${errorMsg ? `<div class="text-red-400 text-center font-bold mb-4 border-2 border-red-400 border-dashed animate-pulse bg-slate-900/50 p-2 rounded">${errorMsg}</div>` : ''}
<button onclick="checkPhase4B()" class="w-full py-3 bg-cyan-600 hover:bg-cyan-500 text-white rounded-xl font-bold">
確認校準 Check
</button>
`;
break;
case STATE.PHASE4_TEST_A:
formulaBanner.classList.remove('hidden');
html = `
<h3 class="text-3xl font-bold text-white mb-2">步驟 2：數據校準 a</h3>
<p class="text-slate-300 mb-4">
現在已知 b=5。接下來需要找出變化率 a。
<br><span class="text-base text-slate-400">提示：試試看投入 1 顆晶石？</span>
</p>
<div class="flex items-center gap-2 mt-4 bg-slate-800/50 p-4 rounded-xl justify-center flex-wrap">
<span class="font-tech text-amber-400 text-3xl whitespace-nowrap">投入 x = </span>
<input id="test-input-a" type="text" readonly onclick="keypad.open(this)" class="tech-input w-24 p-2 rounded text-3xl text-amber-400 text-center" placeholder="1" value="1">
<button onclick="runPhase4TestA()" class="px-6 py-2 bg-amber-600 hover:bg-amber-500 text-white rounded font-bold shadow-lg whitespace-nowrap">
啟動運作
</button>
</div>
${errorMsg ? `<div class="text-amber-400 text-center font-bold mt-2 text-xl border-2 border-amber-400 border-dashed animate-pulse p-2 rounded">${errorMsg}</div>` : ''}
`;
break;
case STATE.PHASE4_FIND_A:
formulaBanner.classList.remove('hidden');
html = `
<h3 class="text-3xl font-bold text-white mb-2">步驟 2：解出 a (Solve for a)</h3>
<p class="text-slate-300 mb-4">
測試投入 <span class="text-amber-400 font-bold">${lastTestAX}</span> 顆晶石，
電力變為 <span class="text-cyan-400 font-bold">${lastTestAY}</span>。
</p>
<div class="bg-slate-800/50 p-4 rounded-xl mb-4 text-center border border-slate-700">
<span class="text-3xl font-tech block mt-2 text-white"><span class="text-cyan-400">${lastTestAY}</span> = a <span class="text-amber-400">× ${lastTestAX}</span> + 5</span>
</div>
<p class="text-slate-300 mb-4 text-center">請問 <span class="text-amber-400 font-bold">a</span> 是多少？</p>
<div class="flex flex-wrap gap-2 mb-2 items-center justify-center text-3xl font-tech text-amber-400">
<span>a =</span>
<input id="ans-input" type="text" readonly onclick="keypad.open(this)" class="tech-input w-24 p-2 rounded text-3xl text-center text-amber-400" placeholder="?">
<button onclick="checkPhase4A()" class="w-full md:w-auto px-8 py-2 bg-amber-600 hover:bg-amber-500 text-white rounded-xl font-bold shadow-lg transition-transform hover:scale-105 whitespace-nowrap text-lg font-sans">確認</button>
</div>
${errorMsg ? `<div class="text-red-400 text-center font-bold mb-2 border-2 border-red-400 border-dashed animate-pulse bg-slate-900/50 p-2 rounded">${errorMsg}</div>` : ''}
`;
break;
case STATE.PHASE4_VERIFY:
formulaBanner.classList.remove('hidden');
html = `
<h3 class="text-3xl font-bold text-white mb-2">步驟 3：最終驗算</h3>
<p class="text-slate-300 mb-4">
假設公式為 <span class="font-bold text-white">y = 3x + 5</span>。
<br>若投入 <span class="text-amber-400 font-bold">10</span> 顆晶石，電力應為多少？
</p>
<div class="flex flex-wrap gap-2 mt-6 items-center justify-center text-3xl font-tech text-white">
<span>y =</span>
<input id="ans-input" type="text" readonly onclick="keypad.open(this)" class="tech-input w-24 p-2 rounded text-3xl text-center text-white" placeholder="?">
<button onclick="checkPhase4Verify()" class="w-full md:w-auto px-8 py-2 bg-green-600 hover:bg-green-500 text-white rounded-xl font-bold shadow-lg transition-transform hover:scale-105 whitespace-nowrap text-lg font-sans">驗證</button>
</div>
${errorMsg ? `<div class="text-red-400 text-center font-bold mt-4 border-2 border-red-400 border-dashed animate-pulse bg-slate-900/50 p-2 rounded">${errorMsg}</div>` : ''}
`;
break;
case STATE.PHASE5_UNLOCK:
formulaBanner.classList.remove('hidden'); // Ensure banner is visible
html = `
<div class="text-center w-full">
<h3 class="text-3xl font-bold text-amber-400 mb-6 drop-shadow-lg">輸入核心密碼 (Core Override)</h3>
<div class="flex items-center justify-center gap-2 text-4xl md:text-4xl font-tech font-bold mb-8 bg-slate-900/80 p-6 rounded-3xl border-2 border-slate-700 w-full max-w-lg mx-auto">
<span class="text-cyan-400">y</span>
<span class="text-slate-500">=</span>
<input id="final-a" type="text" readonly onclick="keypad.open(this)" class="w-20 bg-slate-800 text-amber-400 text-center rounded border border-slate-600 focus:border-amber-400 outline-none p-2" placeholder="?">
<span class="text-amber-400">x</span>
<span class="text-slate-500">+</span>
<input id="final-b" type="text" readonly onclick="keypad.open(this)" class="w-20 bg-slate-800 text-cyan-400 text-center rounded border border-slate-600 focus:border-cyan-400 outline-none p-2" placeholder="?">
</div>
<button onclick="unlockCore()" class="w-full py-4 bg-gradient-to-r from-amber-600 to-red-600 text-white rounded-xl font-bold text-xl shadow-lg hover:shadow-amber-500/50 transition-all border border-amber-500/30">
解鎖大門 (UNLOCK)
</button>
${errorMsg ? `<div class="text-red-400 text-center font-bold mt-4 border-2 border-red-400 border-dashed animate-pulse bg-slate-900/50 p-2 rounded text-xl">${errorMsg}</div>` : ''}
</div>
`;
break;
case STATE.PHASE6_INTRO:
formulaBanner.classList.add('hidden');
html = `
<h2 class="text-3xl font-bold text-cyan-400 mb-4">核心同步程序 (Core Synchronization)</h2>
<p class="text-slate-200 text-xl leading-relaxed mb-6">
核心已解鎖，但能量極不穩定！<br>
我們需要透過<span class="text-amber-400 font-bold">手動脈衝</span>來穩定核心頻率。
</p>
<div class="bg-slate-800/80 p-5 rounded-xl border border-cyan-500/50 mb-6 text-center shadow-[0_0_15px_rgba(6,182,212,0.2)]">
<p class="text-amber-400 text-xl font-bold mb-3 border-b border-cyan-500/30 pb-2">🕹️ 脈衝守護操作說明</p>
<p class="text-lg text-slate-200 leading-relaxed">
外圍會有<span class="text-cyan-400 font-bold">彩色光圈</span>向內縮小，<br>
請在光圈<span class="text-amber-400 font-bold bg-amber-900/40 px-2 py-1 rounded">正好重疊</span>到<span class="text-white font-bold">中心白色圓環</span>的瞬間，<br>
<span class="text-green-400 font-bold">點擊螢幕任意處</span> 或按下 <span class="text-green-400 font-bold px-2 py-1 bg-slate-700 rounded border border-slate-500">空白鍵</span>！
</p>
</div>
<button onclick="startRhythmGame()" class="w-full py-4 bg-cyan-600 hover:bg-cyan-500 text-white rounded-xl font-bold text-xl shadow-lg animate-pulse">
開始同步 (START)
</button>
`;
break;
case STATE.PHASE6_GAME:
// Hide dialogue box during game, only show overlay info via Canvas or minimal DOM
box.classList.add('opacity-0', 'translate-y-20');
formulaBanner.classList.add('hidden');
// We will render UI on canvas or absolute overlay
break;
case STATE.PHASE7_SUMMARY:
// Break out of the container layout for Full Screen Center
// We modify the box styling directly to be fixed center
box.className = "fixed top-1/2 left-1/2 transform -translate-x-1/2 -translate-y-1/2 w-[95%] md:w-[70%] glass-panel rounded-3xl p-8 transition-all duration-500 min-h-[400px] max-h-[90vh] overflow-y-auto flex flex-col justify-start shadow-[0_0_80px_rgba(0,0,0,0.8)] bg-slate-900/95 frame-border z-50 pointer-events-auto";
const currentScore = rhythmState.score;
const highScore = localStorage.getItem('math_city_score_function') || 0;
html = `
<div class="text-center w-full h-full flex flex-col items-center">
<h2 class="text-xl md:text-2xl font-black text-transparent bg-clip-text bg-gradient-to-r from-cyan-400 to-green-400 mb-6 drop-shadow-[0_0_15px_rgba(34,211,238,0.6)] tracking-widest">
任務完成 SYSTEM RESTORED
</h2>
<div class="text-amber-400 font-tech text-base md:text-2xl mb-10 tracking-[0.5em]">MISSION ACCOMPLISHED</div>
<!-- Score Board -->
<div class="flex gap-16 mb-10 bg-slate-800/80 px-16 py-8 rounded-3xl border-2 border-slate-600 transform scale-110">
<div class="text-center">
<div class="text-xl text-slate-400 uppercase tracking-widest mb-2">本次得分</div>
<div class="text-4xl font-black text-cyan-400 font-tech shimmer">${currentScore}</div>
</div>
<div class="w-px bg-slate-500"></div>
<div class="text-center">
<div class="text-xl text-slate-400 uppercase tracking-widest mb-2">歷史最高</div>
<div class="text-4xl font-black text-amber-400 font-tech">${highScore}</div>
</div>
</div>
<div class="grid grid-cols-1 md:grid-cols-2 gap-12 w-full text-left mb-12 max-w-6xl">
<!-- Insight 1 -->
<div class="bg-slate-800/50 p-10 rounded-3xl border border-cyan-500/20 hover:border-cyan-500/50 transition-colors">
<h3 class="flex items-center gap-4 text-4xl font-bold text-cyan-400 mb-6">
<span class="text-5xl">🔮</span> 預測未來 (Prediction)
</h3>
<p class="text-slate-300 text-3xl leading-relaxed mb-4">
「當我們知道規則 <span class="bg-slate-900 px-3 rounded text-cyan-300 font-tech">y=ax+b</span> 時，就能精準預測未來的結果。」
</p>
<div class="text-xl text-slate-500 border-t border-slate-700 pt-4">
回顧：就像你在階段三，算出需要投入多少晶石才能救急。
</div>
</div>
<!-- Insight 2 -->
<div class="bg-slate-800/50 p-10 rounded-3xl border border-amber-500/20 hover:border-amber-500/50 transition-colors">
<h3 class="flex items-center gap-4 text-4xl font-bold text-amber-400 mb-6">
<span class="text-5xl">📐</span> 數學建模 (Modeling)
</h3>
<p class="text-slate-300 text-3xl leading-relaxed mb-4">
「當規則改變或未知時，我們也能透過觀察數據的變化，反推回公式本身。」
</p>
<div class="text-xl text-slate-500 border-t border-slate-700 pt-4">
回顧：就像你在階段四，透過測試 x=0 和 x=1，重新找回消失的 a 與 b。
</div>
</div>
</div>
<p class="text-slate-400 italic mb-12 text-2xl max-w-3xl whitespace-nowrap">
「這就是科學家與工程師的超能力：觀察數據 <span class="text-white">→</span> 找出規則 <span class="text-white">→</span> 預測未來。」
</p>
<a href="index.html" class="bg-indigo-600 hover:bg-indigo-700 text-white font-bold py-6 px-20 rounded-full text-4xl shadow-[0_0_40px_rgba(79,70,229,0.6)] transition-all transform hover:scale-105 hover:rotate-1">
回到 Math City
</a>
</div>
`;
break;
case STATE.PHASE4_VERIFY_TEST:
html = `
<h3 class="text-3xl font-bold text-amber-400 mb-2 font-tech tracking-widest border-b border-amber-500/30 pb-2">
<span class="mr-2">⚡</span> 最終驗證 FINAL VERIFICATION
</h3>
<p class="text-slate-300 leading-relaxed mb-6">
公式推導完成：<span class="text-white font-bold">y = 3x + 5</span>
<br>現在，請實際投入 <span class="text-amber-400">10</span> 顆晶石來驗證預測是否準確。
</p>
<div class="flex items-center gap-4 mb-2">
<span class="text-3xl font-tech text-amber-500">x =</span>
<div class="relative flex-1">
<input type="text" readonly onclick="keypad.open(this)" id="test-input-verify" class="tech-input w-full p-4 rounded-xl text-3xl font-bold" placeholder="輸入 10">
<div class="absolute right-4 top-1/2 -translate-y-1/2 text-slate-500 text-sm">晶石</div>
</div>
</div>
<button onclick="runPhase4VerifyManual()" class="w-full mt-4 py-3 bg-cyan-600/80 hover:bg-cyan-500 text-white font-bold rounded-xl transition-all shadow-[0_0_15px_rgba(6,182,212,0.3)]">
啟動測試 / VERIFY
</button>
`;
break;
}
box.innerHTML = html;
// Focus input if available
const input = box.querySelector('input');
if (input) input.focus();
}
// --- Logic Operations ---
function startQPhase() {
if (window.keypad) keypad.close();
qStep = 0;
enterPhase(STATE.PHASE2_Q);
}
function checkQAnswer() {
const input = document.getElementById('ans-input');
const val = parseInt(input.value);
const targetX = checkPoints[qStep];
const correctY = 2 * targetX + 3;
if (isNaN(val)) return;
if (val === 222) { // Cheat code
playSound('success');
// Skip everything -> Success
addPoint(100, 203); // fake the final point
enterPhase(STATE.SUCCESS);
return;
}
if (val === correctY) {
playSound('success');
// Old: addPoint(targetX, correctY);
// New: Go to Coordinate Confirmation Step
enterPhase(STATE.PHASE2_COORDINATE);
} else {
playSound('alarm');
input.classList.add('animate-shake');
setTimeout(() => input.classList.remove('animate-shake'), 500);
// Show hint
updateUI(`提示： 2 × ${targetX} + 3 = ?`);
}
}
function substituteY() {
playSound('swish'); // Optional sound
document.getElementById('coord-step-1').classList.add('hidden');
const step2 = document.getElementById('coord-step-2');
step2.classList.remove('hidden');
// Add a small pop animation or effect if desired
}
function plotCoordinate() {
const targetX = checkPoints[qStep];
const correctY = 2 * targetX + 3;
addPoint(targetX, correctY);
// Trigger Animation
guideArrowState.active = true;
guideArrowState.startTime = Date.now();
guideArrowState.targetX = targetX;
guideArrowState.targetY = correctY;
playSound('tick');
qStep++;
if (qStep < checkPoints.length) {
// Next question
enterPhase(STATE.PHASE2_Q);
} else {
// All questions done
setTimeout(() => enterPhase(STATE.PHASE2_PATTERN), 500);
}
}
function checkFinalAnswer() {
const input = document.getElementById('ans-input');
const val = parseInt(input.value);
if (val === 100 || val === 222) { // 222 is cheat code
playSound('success');
graphScale.xMax = 110;
graphScale.yMax = 220;
addPoint(100, 203);
enterPhase(STATE.SUCCESS);
} else {
playSound('alarm');
input.classList.add('animate-shake');
setTimeout(() => input.classList.remove('animate-shake'), 500);
input.value = '';
// Show hint: 203 - 3 = 200, so 2x = 200
updateUI("提示： 203 = 2x + 3");
}
}
function checkPattern(choice) {
if (choice === 'C') {
playSound('success');
enterPhase(STATE.PHASE2_PREDICTION_INTRO);
} else {
alert("再仔細看看...？");
}
}
function startPhase4Deduction() {
// Reset graph for new formula (Scale reduced for visibility)
collectedPoints = [];
currentA = 3;
currentB = 5;
// Adjust scale for Phase 4 (Close up view)
graphScale.xMax = 15;
graphScale.yMax = 40;
// Do NOT add point yet. Wait for manual test.
enterPhase(STATE.PHASE4_TEST_B);
// Update Banner to y=ax+b style
document.querySelector('#formula-banner .font-tech').innerHTML =
`<span class="text-cyan-400">y</span><span class="text-slate-500">=</span><span class="text-red-500 animate-pulse">a</span><span class="text-amber-400">x</span><span class="text-slate-500">+</span><span class="text-red-500 animate-pulse">b</span>`;
}
function runPhase4Test() {
const input = document.getElementById('test-input');
const x = parseFloat(input.value);
if (isNaN(x)) return;
if (x === 0) {
const y = 3 * x + 5;
addPoint(x, y);
playSound('tick');
setTimeout(() => {
enterPhase(STATE.PHASE4_FIND_B);
}, 1000);
} else {
playSound('alarm');
const y = 3 * x + 5;
// Don't plot point to avoid confusing them? Or plot it but don't proceed?
// User said "don't plot point... show hint".
// Hint display logic
const hintY = 14;
// Wait, if x=3, y=14. Formula y=ax+b becomes 14 = 3a + b.
updateUI(`錯誤！若投入 ${x} 顆，電力為 ${y}。<br>公式變為 <span class="text-amber-400 font-tech">${y} = ${x}a + b</span>。<br>a 沒有消失，無法算出 b。只有什麼數字才能讓 a 消失？`);
}
}
function checkPhase4B() {
const val = parseInt(document.getElementById('ans-input').value);
if (val === 5) {
playSound('success');
// Update Banner: y = ?x + 5
// User requested: 5 is white (slate-200), x amber, a blinking red
document.querySelector('#formula-banner .font-tech').innerHTML =
`<span class="text-cyan-400">y</span><span class="text-slate-500">=</span><span class="text-red-500 animate-pulse">a</span><span class="text-amber-400">x</span><span class="text-slate-500">+</span><span class="text-slate-200">5</span>`;
// Go to Step 2 Manual Test
enterPhase(STATE.PHASE4_TEST_A);
} else {
playSound('alarm');
updateUI("錯誤！當 x=0 時，y=5。公式 y = ax + b 變成 5 = a(0) + b，所以 b 是...？");
}
}
// Global var to store X logic for Phase 4 Step 2
let lastTestAX = 1;
let lastTestAY = 8;
function runPhase4TestA() {
const input = document.getElementById('test-input-a');
const x = parseInt(input.value);
if (isNaN(x) || x < 1 || x > 9) {
playSound('alarm');
updateUI("為了方便觀察，請輸入 1 到 9 之間的整數。");
input.value = '';
return;
}
const y = 3 * x + 5;
addPoint(x, y);
playSound('tick');
// Store for next step text
lastTestAX = x;
lastTestAY = y;
setTimeout(() => {
enterPhase(STATE.PHASE4_FIND_A);
}, 1000);
}
function checkPhase4A() {
const val = parseInt(document.getElementById('ans-input').value);
if (val === 3) {
playSound('success');
// Update Banner: y = 3x + 5
document.querySelector('#formula-banner .font-tech').innerHTML =
`<span class="text-cyan-400">y</span><span class="text-slate-500">=</span><span class="text-slate-200">3</span><span class="text-amber-400">x</span><span class="text-slate-500">+</span><span class="text-slate-200">5</span>`;
enterPhase(STATE.PHASE4_VERIFY);
} else {
playSound('alarm');
updateUI(`錯誤，${lastTestAY} = ${lastTestAX}a + 5 則 a = ?`);
}
}
function checkPhase4Verify() {
const val = parseInt(document.getElementById('ans-input').value);
if (val === 35) {
playSound('success');
// Auto verification visual
if (window.keypad) keypad.close();
// Add point without particles, but with blink
addPoint(10, 35, false, true);
updateUI("預測正確！投入 10 顆晶石，電力確實為 35！<br><span class='text-amber-400 text-base'>(確認點連成一線...)</span>");
// RESTORE INPUT VALUE because updateUI cleared it
setTimeout(() => {
const input = document.getElementById('ans-input');
if (input) input.value = "35";
}, 50);
// Disable button
const btn = document.querySelector('#dialogue-box button');
if (btn) {
btn.disabled = true;
btn.classList.add('opacity-50', 'cursor-not-allowed', 'pointer-events-none');
btn.innerHTML = '驗證成功 Verified';
}
// Add guide text to look at the graph
const inputContainer = document.getElementById('ans-input')?.parentElement?.parentElement; // Adjusted selector
if (inputContainer) {
const guide = document.createElement('div');
guide.className = "text-center text-green-400 font-bold mt-2 text-xl animate-pulse";
guide.innerHTML = "請觀察圖表上的點 (10,35)...";
inputContainer.insertAdjacentElement('afterend', guide);
}
// Delay for user to see the result matches the line before unlocking
// Extended delay to 3.5s to ensure they see the point on the line
// Delay for user to see the result matches the line before unlocking
// Extended delay to 3.5s to ensure they see the point on the line
setTimeout(() => {
const guide = document.querySelector('.text-green-400.animate-pulse');
if (guide) guide.remove();
enterPhase(STATE.PHASE5_UNLOCK);
}, 3500);
} else {
playSound('alarm');
// Use on-screen hint instead of alert
updateUI("驗算失敗！請檢查公式： y = 3×10 + 5 = ?");
}
}
function unlockCore() {
const a = parseInt(document.getElementById('final-a').value);
const b = parseInt(document.getElementById('final-b').value);
if (a === 3 && b === 5) {
if (window.keypad) keypad.close();
playSound('success');
// Instead of alert, go to Phase 6
enterPhase(STATE.PHASE6_INTRO);
} else {
playSound('alarm');
const box = document.querySelector('.bg-slate-900\\/80'); // Target container
if (box) box.classList.add('animate-shake');
setTimeout(() => box && box.classList.remove('animate-shake'), 500);
// Show hint on screen (simulated by updateUI call inside loop, but here distinct)
// Just let user retry, maybe add text
// Since updateUI overwrites everything, we just re-render PHASE5_UNLOCK with Error?
// But unlockCore is called from button. We can append error.
const inputs = document.querySelectorAll('#final-a, #final-b');
inputs.forEach(i => i.value = '');
updateUI("密碼錯誤！提示：y = 3x + 5 (a=3, b=5)");
}
}
// --- Phase 6: Rhythm Game Logic ---
function startRhythmGame() {
rhythmState.energy = 0;
rhythmState.score = 0;
rhythmState.combo = 0;
rhythmState.circles = [];
rhythmState.active = true;
// startRhythmBGM(); // Disabled by user request
enterPhase(STATE.PHASE6_GAME);
}
function updateRhythm(dt) {
if (!rhythmState.active) return;
const now = Date.now();
// Spawn circles
if (now - rhythmState.lastSpawnTime > rhythmState.spawnInterval) {
spawnRhythmCircle();
rhythmState.lastSpawnTime = now;
// Speed up slightly as energy grows
rhythmState.spawnInterval = Math.max(600, 1200 - (rhythmState.energy * 5));
}
// Update circles
// Radius shrinks: starts at say 300, target 60 (CORE_RADIUS)
// Speed depends on spawnInterval roughly
for (let i = rhythmState.circles.length - 1; i >= 0; i--) {
const c = rhythmState.circles[i];
const speed = 150 * dt; // pixels per second-ish
c.r -= speed;
// Miss condition
if (c.r < CORE_RADIUS - 20) {
// Miss
rhythmState.circles.splice(i, 1);
handleMiss();
}
}
// Check win
if (rhythmState.energy >= 100) {
rhythmState.active = false;
stopRhythmBGM(); // Stop music
playSound('success'); // Big success sound later
// Save High Score
const currentBest = parseInt(localStorage.getItem('math_city_score_function') || '0');
if (rhythmState.score > currentBest) {
localStorage.setItem('math_city_score_function', rhythmState.score.toString());
}
setTimeout(() => enterPhase(STATE.PHASE7_SUMMARY), 1500); // 1.5s delay for victory effect
}
}
function drawRhythmBackground() {
// Cyber Tunnel Effect
const cx = width / 2;
const cy = height / 2;
const time = Date.now() / 1000;
// Clear with dark blue tint
ctx.fillStyle = '#051015';
ctx.fillRect(0, 0, width, height);
// Rotating Grid
ctx.save();
ctx.translate(cx, cy);
// Slowly rotate the whole world
ctx.rotate(time * 0.1);
ctx.lineWidth = 1;
ctx.strokeStyle = 'rgba(6, 182, 212, 0.15)'; // Faint Cyan
// Radial lines
const rays = 12;
for (let i = 0; i < rays; i++) {
const angle = (i / rays) * Math.PI * 2;
ctx.beginPath();
ctx.moveTo(0, 0);
// Draw far out to cover screen corners
ctx.lineTo(Math.cos(angle) * width, Math.sin(angle) * width);
ctx.stroke();
}
// Expanding Concentric Hexagons (Tunnel)
const speed = 100; // pixels per second expansion
const spacing = 200;
const offset = (Date.now() % 2000) / 2000 * spacing; // 0 to 200
for (let r = offset; r < width; r += spacing) {
if (r < 10) continue; // too small
const alpha = Math.min(1, r / 300); // Fade in from center
ctx.strokeStyle = `rgba(6, 182, 212, ${alpha * 0.3})`;
ctx.beginPath();
for (let i = 0; i < 6; i++) {
const a = i * Math.PI / 3;
const x = r * Math.cos(a);
const y = r * Math.sin(a);
if (i === 0) ctx.moveTo(x, y);
else ctx.lineTo(x, y);
}
ctx.closePath();
ctx.stroke();
}
ctx.restore();
}
function spawnRhythmCircle() {
rhythmState.circles.push({
r: 400, // Start radius (outside screen mostly)
color: Math.random() > 0.5 ? '#22d3ee' : '#f59e0b' // Cyan or Amber
});
}
function handleRhythmInput() {
// Check the smallest circle
if (rhythmState.circles.length === 0) return;
// Sort by radius, usually the first one (index 0) is smallest due to spawn order
// But let's find the one closest to CORE_RADIUS
let targetIndex = -1;
let minDiff = 999;
rhythmState.circles.forEach((c, index) => {
const diff = Math.abs(c.r - CORE_RADIUS);
if (diff < minDiff) {
minDiff = diff;
targetIndex = index;
}
});
if (targetIndex !== -1) {
const diff = minDiff;
const tolerance = 30; // pixels tolerance
if (diff < 10) {
// Perfect
handleHit('PERFECT', targetIndex);
} else if (diff < tolerance) {
// Good
handleHit('GOOD', targetIndex);
} else {
// Too early/late logic if we want, or just ignore if it's way off
// If it's somewhat close but not hit, maybe miss?
// Let's just ignore clicks that are way off so we don't punish accidental clicks too much
}
}
}
function handleHit(type, index) {
rhythmState.circles.splice(index, 1);
if (type === 'PERFECT') {
rhythmState.energy = Math.min(100, rhythmState.energy + 10);
// Combo Bonus: +30 per combo
const bonus = rhythmState.combo * 30;
rhythmState.score += (500 + bonus);
rhythmState.combo++;
spawnFloatingText(`PERFECT! +${500 + bonus}`, '#fbbf24'); // Gold
playSound('hit_perfect');
playSound('hit_perfect');
} else {
// Fix: Good also gives 10 energy to prevent "extending game" exploit
rhythmState.energy = Math.min(100, rhythmState.energy + 10);
// Combo Bonus: +10 per combo
const bonus = rhythmState.combo * 10;
rhythmState.score += (50 + bonus);
rhythmState.combo++;
spawnFloatingText(`GOOD +${50 + bonus}`, '#22d3ee'); // Blue
playSound('hit_good');
}
// Core pulse
corePulse = 1.5;
}
function handleMiss() {
rhythmState.energy = Math.max(0, rhythmState.energy - 2);
rhythmState.combo = 0;
// Penalize score to prevent farming (losing energy to re-gain points)
// Deduction = Potential gain of a Perfect Hit (500)
rhythmState.score = Math.max(0, rhythmState.score - 500);
spawnFloatingText("MISS", '#ef4444');
playSound('alarm');
}
function spawnFloatingText(text, color) {
rhythmState.texts.push({
text: text,
x: width / 2,
y: height / 2 - 80,
life: 1.0,
color: color
});
}
function addPoint(x, y, spawnParticles = true, blink = false) {
if (!collectedPoints.find(p => p.x === x)) {
collectedPoints.push({ x, y, blink });
// Spawn particle effect
if (spawnParticles) {
for (let i = 0; i < 10; i++) {
particles.push({
x: width / 2,
y: height / 2,
vx: (Math.random() - 0.5) * 10,
vy: (Math.random() - 0.5) * 10,
life: 1.0,
color: '#fbbf24'
});
}
}
}
}
// --- Canvas Rendering (Same as before but simplified) ---
function loop() {
ctx.clearRect(0, 0, width, height); // Clear for transparency
// Special update for Rhythm Game
if (currentState === STATE.PHASE6_GAME) {
updateRhythm(0.016); // ~60fps fixed dt
}
drawCore();
drawGraph();
updateParticles();
// Draw Rhythm Overlay
if (currentState === STATE.PHASE6_GAME) {
drawRhythmGame();
}
requestAnimationFrame(loop);
}
function drawRhythmGame() {
const cx = width / 2;
const cy = height / 2;
// Draw Target Ring (CORE_RADIUS)
ctx.lineWidth = 4;
ctx.strokeStyle = '#ffffff';
ctx.globalAlpha = 0.5;
ctx.beginPath();
ctx.arc(cx, cy, CORE_RADIUS, 0, Math.PI * 2);
ctx.stroke();
ctx.globalAlpha = 1.0;
// Draw Falling Circles
rhythmState.circles.forEach(c => {
ctx.lineWidth = 3;
ctx.strokeStyle = c.color;
ctx.beginPath();
ctx.arc(cx, cy, c.r, 0, Math.PI * 2);
ctx.stroke();
});
// Draw Energy Bar (Top Center)
const barW = 300;
const barH = 20;
const barX = cx - barW / 2;
const barY = 50;
// Background
ctx.fillStyle = 'rgba(0,0,0,0.5)';
ctx.fillRect(barX, barY, barW, barH);
ctx.strokeStyle = '#aaa';
ctx.strokeRect(barX, barY, barW, barH);
// Fill
const fillW = (rhythmState.energy / 100) * barW;
const fillCol = rhythmState.energy > 80 ? '#fbbf24' : '#22d3ee';
ctx.fillStyle = fillCol;
ctx.fillRect(barX, barY, fillW, barH);
// Text: Energy
ctx.fillStyle = '#fff';
ctx.font = '20px Orbitron';
ctx.textAlign = 'center';
ctx.fillText(`ENERGY: ${Math.floor(rhythmState.energy)}%`, cx, barY - 10);
// Text: Combo
if (rhythmState.combo > 1) {
ctx.fillStyle = '#f59e0b';
ctx.font = 'bold 40px Orbitron';
ctx.fillText(`${rhythmState.combo} COMBO`, cx, cy + 150);
}
// Floating Texts
drawFloatingTexts(cx, cy);
}
function drawFloatingTexts(cx, cy) {
for (let i = rhythmState.texts.length - 1; i >= 0; i--) {
const t = rhythmState.texts[i];
t.life -= 0.02;
t.y -= 1; // Rise up
if (t.life <= 0) {
rhythmState.texts.splice(i, 1);
continue;
}
ctx.save();
ctx.globalAlpha = t.life;
ctx.fillStyle = t.color;
ctx.font = 'bold 30px "Noto Sans TC"';
ctx.textAlign = 'center';
ctx.fillText(t.text, t.x, t.y);
ctx.restore();
}
}
function drawCore() {
// Move core to center in Phase 6+ (Rhythm Game & Summary)
let targetCx = width * 0.15;
if (currentState >= STATE.PHASE6_INTRO) {
targetCx = width / 2;
}
// Simple ease-in if we wanted, but direct assignment is safer for state changes
const cx = targetCx;
const cy = height * 0.5;
if (width < 768) ctx.globalAlpha = 0.2;
// Victory Effect: Big pulse if game won but not yet in summary
if (currentState >= STATE.PHASE6_GAME && rhythmState.energy >= 100) {
if (currentState === STATE.PHASE6_GAME) coreRotation += 0.2; // Spin faster only during game end
const pulse = 1 + Math.sin(Date.now() / 50) * 0.2; // Rapid pulse
ctx.shadowBlur = 50 * pulse;
ctx.shadowColor = '#fbbf24'; // Amber glow
} else {
coreRotation += 0.01;
ctx.shadowBlur = 0;
}
ctx.save();
ctx.translate(cx, cy);
ctx.rotate(coreRotation);
ctx.strokeStyle = '#0891b2';
ctx.lineWidth = 4;
ctx.beginPath();
ctx.arc(0, 0, 80, 0, Math.PI * 2);
ctx.stroke();
// Inner Hexagon
ctx.rotate(-coreRotation * 2);
ctx.fillStyle = rhythmState.energy >= 100 ? '#fbbf24' : '#22d3ee'; // Turn Gold on win
ctx.beginPath();
for (let i = 0; i < 6; i++) {
ctx.lineTo(50 * Math.cos(i * Math.PI / 3), 50 * Math.sin(i * Math.PI / 3));
}
ctx.fill();
ctx.restore();
ctx.globalAlpha = 1.0;
ctx.shadowBlur = 0; // Reset
}
function drawGraph() {
const padding = 60;
// Desktop: Graph takes up right 55% of screen. Mobile: Centered.
const isDesktop = width > 768;
const gw = isDesktop ? width * 0.53 : Math.min(600, width - 40);
const gh = isDesktop ? height * 0.6 : Math.min(400, height * 0.5);
// On Desktop, position graph on the right side (Start at 44% width)
// On Mobile, center it
const gx = isDesktop ? (width * 0.44) : (width - gw) / 2;
const gy = isDesktop ? height * 0.2 : height * 0.1;
// BG - Darker background for graph area to make it pop against the global image
ctx.fillStyle = 'rgba(5, 16, 21, 0.85)';
ctx.fillRect(gx, gy, gw, gh);
ctx.strokeStyle = '#475569';
ctx.strokeRect(gx, gy, gw, gh);
const ox = gx + padding;
const oy = gy + gh - padding;
const drawW = gw - padding * 2;
const drawH = gh - padding * 2;
const unitX = drawW / graphScale.xMax;
const unitY = drawH / graphScale.yMax;
ctx.beginPath();
ctx.strokeStyle = '#94a3b8';
ctx.lineWidth = 2;
ctx.moveTo(ox, oy); ctx.lineTo(ox + drawW, oy);
ctx.moveTo(ox, oy); ctx.lineTo(ox, oy - drawH);
ctx.stroke();
// Grid
ctx.textAlign = 'center';
ctx.font = 'bold 20px "Orbitron", sans-serif';
const jumpX = graphScale.xMax > 20 ? 10 : 1;
for (let i = 0; i <= graphScale.xMax; i += jumpX) {
const x = ox + i * unitX;
ctx.fillStyle = '#fbbf24'; // Amber X
ctx.fillText(i, x, oy + 20);
if (i > 0) {
ctx.beginPath(); ctx.moveTo(x, oy); ctx.lineTo(x, oy - drawH);
ctx.strokeStyle = 'rgba(255,255,255,0.05)'; ctx.stroke();
}
}
const jumpY = graphScale.yMax > 50 ? 20 : 2;
for (let i = 0; i <= graphScale.yMax; i += jumpY) {
const y = oy - i * unitY;
ctx.fillStyle = '#22d3ee'; // Cyan Y
ctx.fillText(i, ox - 20, y + 4);
if (i > 0) {
ctx.beginPath(); ctx.moveTo(ox, y); ctx.lineTo(ox + drawW, y);
ctx.strokeStyle = 'rgba(255,255,255,0.05)'; ctx.stroke();
}
}
ctx.fillStyle = '#fbbf24'; ctx.font = 'bold 16px sans-serif';
ctx.fillText("晶石數 (x)", ox + drawW / 2, oy + 40);
ctx.save();
ctx.translate(ox - 45, oy - drawH / 2);
ctx.rotate(-Math.PI / 2);
ctx.fillStyle = '#22d3ee';
ctx.fillText("電力 (y)", 0, 0);
ctx.restore();
if (currentState >= STATE.PHASE2_PREDICTION_INTRO && currentState < STATE.PHASE4_INTRO) {
ctx.beginPath();
ctx.strokeStyle = '#22d3ee';
ctx.lineWidth = 2;
const endX = graphScale.xMax;
const endY = 2 * endX + 3;
ctx.moveTo(ox, oy - 3 * unitY);
ctx.lineTo(ox + endX * unitX, oy - endY * unitY);
ctx.stroke();
}
// Phase 4: Draw line y = 3x + 5 (After finding a)
if (currentState >= STATE.PHASE4_VERIFY) {
ctx.beginPath();
ctx.strokeStyle = '#fbbf24'; // Amber Line for new formula
ctx.lineWidth = 2;
ctx.setLineDash([5, 5]); // Dashed line to show it's a prediction/new model
const endX = graphScale.xMax;
const endY = 3 * endX + 5;
ctx.moveTo(ox, oy - 5 * unitY); // Start at (0, 5)
ctx.lineTo(ox + endX * unitX, oy - endY * unitY);
ctx.stroke();
ctx.setLineDash([]); // Reset dash
}
collectedPoints.forEach(p => {
const px = ox + p.x * unitX;
const py = oy - p.y * unitY;
ctx.beginPath();
ctx.arc(px, py, 6, 0, Math.PI * 2);
ctx.fillStyle = '#fbbf24';
ctx.fill();
ctx.strokeStyle = '#fff';
ctx.stroke();
// Blinking Effect (Requested)
if (p.blink) {
const alpha = 0.5 + 0.5 * Math.sin(Date.now() / 150);
ctx.beginPath();
ctx.arc(px, py, 12 + 4 * Math.sin(Date.now() / 150), 0, Math.PI * 2);
ctx.strokeStyle = `rgba(34, 211, 238, ${alpha})`; // Cyan pulsing ring
ctx.lineWidth = 3;
ctx.stroke();
}
// Color coded coordinates: (x, y)
ctx.font = 'bold 24px Orbitron'; // Point Numbers Increased
const textY = py - 24; // Position higher up for larger font
// Measure text to center it
const strX = `${p.x}`;
const strY = `${p.y}`;
const w1 = ctx.measureText("(").width;
const wX = ctx.measureText(strX).width;
const wComma = ctx.measureText(", ").width;
const wY = ctx.measureText(strY).width;
const w2 = ctx.measureText(")").width;
const totalW = w1 + wX + wComma + wY + w2;
let cursorX = px - totalW / 2;
ctx.fillStyle = '#cbd5e1'; ctx.fillText("(", cursorX + w1 / 2, textY); cursorX += w1;
ctx.fillStyle = '#fbbf24'; ctx.fillText(strX, cursorX + wX / 2, textY); cursorX += wX; // Amber X
ctx.fillStyle = '#cbd5e1'; ctx.fillText(", ", cursorX + wComma / 2, textY); cursorX += wComma;
ctx.fillStyle = '#22d3ee'; ctx.fillText(strY, cursorX + wY / 2, textY); cursorX += wY; // Cyan Y
ctx.fillStyle = '#cbd5e1'; ctx.fillText(")", cursorX + w2 / 2, textY);
});
// Draw Guide Arrows if active (Coordinate Animation)
if (guideArrowState.active && (currentState === STATE.PHASE2_COORDINATE || currentState === STATE.PHASE2_Q)) {
drawGuideArrows();
}
}
function updateParticles() {
for (let i = particles.length - 1; i >= 0; i--) {
let p = particles[i];
p.x += p.vx;
p.y += p.vy;
p.life -= 0.02;
ctx.globalAlpha = p.life;
ctx.fillStyle = p.color;
ctx.beginPath();
ctx.arc(p.x, p.y, 3, 0, Math.PI * 2);
ctx.fill();
if (p.life <= 0) particles.splice(i, 1);
}
ctx.globalAlpha = 1.0;
}
</script>
<!-- Credits -->
<div class="fixed bottom-4 right-4 text-right text-slate-500 text-xs z-50 pointer-events-auto select-none">
<div class="mb-1">遊戲設計：新竹縣精華國中藍星宇</div>
<div>FB教育社群：<a href="https://www.facebook.com/groups/1554372228718393" target="_blank"
class="hover:text-cyan-400 transition-colors">萬物皆數</a></div>
</div>
<script>
// --- Main Game Loop (Overridden/Appended) ---
let lastTime = Date.now();
function loop() {
const now = Date.now();
const dt = (now - lastTime) / 1000;
lastTime = now;
ctx.clearRect(0, 0, width, height);
if (currentState === STATE.PHASE6_GAME) {
// Rhythm Game Mode
updateRhythm(dt);
drawRhythmBackground();
drawRhythmGame();
drawCore();
} else if (currentState >= STATE.PHASE6_INTRO) {
// Intro & Summary Mode (Use Rhythm BG)
drawRhythmBackground();
drawCore();
} else {
// Standard Graph Mode
drawGraph();
drawCore();
}
updateParticles();
requestAnimationFrame(loop);
}
</script>
</body>
</html> |