diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml new file mode 100644 index 0000000..2300e4c --- /dev/null +++ b/.github/workflows/ci.yml @@ -0,0 +1,42 @@ +name: CI + +on: + push: + branches: [ main, copilot/* ] + pull_request: + branches: [ main ] + +jobs: + test: + runs-on: ubuntu-latest + + permissions: + contents: read + + strategy: + matrix: + node-version: [18.x, 20.x] + + steps: + - uses: actions/checkout@v3 + + - name: Use Node.js ${{ matrix.node-version }} + uses: actions/setup-node@v3 + with: + node-version: ${{ matrix.node-version }} + cache: 'npm' + + - name: Install dependencies + run: npm ci + + - name: Run linter + run: npm run lint + + - name: Check formatting + run: npm run format:check + + - name: Run tests + run: npm test + + - name: Build + run: npm run build diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..553e109 --- /dev/null +++ b/.gitignore @@ -0,0 +1,35 @@ +# Dependencies +node_modules/ + +# Build output +dist/ +build/ + +# Environment variables +.env +.env.local +.env.*.local + +# Editor directories and files +.vscode/ +.idea/ +*.suo +*.ntvs* +*.njsproj +*.sln +*.sw? + +# OS files +.DS_Store +Thumbs.db + +# Logs +*.log +npm-debug.log* + +# Test coverage +coverage/ + +# Temporary files +tmp/ +*.tmp diff --git a/.prettierrc.json b/.prettierrc.json new file mode 100644 index 0000000..29b9d1f --- /dev/null +++ b/.prettierrc.json @@ -0,0 +1,8 @@ +{ + "semi": true, + "trailingComma": "es5", + "singleQuote": true, + "printWidth": 100, + "tabWidth": 2, + "useTabs": false +} diff --git a/LICENSE b/LICENSE new file mode 100644 index 0000000..c4121ac --- /dev/null +++ b/LICENSE @@ -0,0 +1,21 @@ +MIT License + +Copyright (c) 2025 Complex Tetris & Visualizer + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. diff --git a/README.md b/README.md index 773d6e0..4f04774 100644 --- a/README.md +++ b/README.md @@ -1,2 +1,186 @@ -# Tetris -Tetris piece transformations using complex numbers +# Complex Tetris & Visualizer + +A modern web application combining a playable Tetris game with complex number visualizations. Built with React, Canvas API, and mathematical elegance. + +## Features + +### ๐ŸŽฎ Complex Tetris Game +- **Complex Number Rotations**: Tetris pieces rotate using complex number mathematics (z โ†’ iยทz for 90ยฐ rotation) +- **Classic Gameplay**: Traditional Tetris mechanics with modern UI +- **Score Tracking**: Keep track of your score, level, and cleared lines +- **Responsive Controls**: Keyboard controls with visual feedback +- **Game States**: Pause, resume, and restart functionality + +### ๐Ÿ“Š Complex Function Visualizer +- **Three Complex Functions**: + - f(z) = zยฒ (square function) + - f(z) = eแถป (exponential function) + - f(z) = 1/z (reciprocal function) +- **Animated Transformations**: Watch the complex plane transform in real-time +- **Magnitude & Phase Overlays**: Toggle visual representation of magnitude (brightness) and phase (color hue) +- **Unit Circle Tracking**: See how the unit circle transforms under each function +- **Rotation Visualization**: Highlighted z โ†’ iยทz rotations showing 90ยฐ counterclockwise rotation + +### ๐ŸŽจ User Interface +- **Modern Design**: Gradient backgrounds and smooth animations +- **Responsive Layout**: Works on desktop, tablet, and mobile devices +- **Side-by-side Panels**: Tetris game and visualizer displayed together +- **Interactive Controls**: Easy-to-use buttons and toggles + +## Mathematical Background + +This project uses **complex numbers** to elegantly handle Tetris piece rotations. In the complex plane: +- Each block position is represented as a complex number z = x + yi +- Rotation by 90ยฐ counterclockwise is achieved by multiplying by i: z โ†’ iยทz +- This is mathematically equivalent to: (x, y) โ†’ (-y, x) + +The visualizer demonstrates three fundamental complex functions: +- **zยฒ**: Doubles the angle and squares the magnitude +- **eแถป**: The complex exponential, fundamental to Fourier analysis +- **1/z**: Inverts and reflects across the real axis + +## Installation + +### Prerequisites +- Node.js (v14 or higher) +- npm or yarn + +### Setup +```bash +# Clone the repository +git clone https://github.com/DevalPrime/Tetris.git +cd Tetris + +# Install dependencies +npm install + +# Start development server +npm run dev +``` + +The application will open in your browser at `http://localhost:3000` + +## Available Scripts + +- `npm run dev` - Start development server +- `npm run build` - Build for production +- `npm run preview` - Preview production build +- `npm test` - Run unit tests +- `npm run test:watch` - Run tests in watch mode +- `npm run lint` - Lint source code +- `npm run lint:fix` - Lint and fix issues +- `npm run format` - Format code with Prettier +- `npm run format:check` - Check code formatting + +## Game Controls + +### Tetris +- **โ†/โ†’ Arrow Keys**: Move piece left/right +- **โ†‘ Arrow or Space**: Rotate piece (z โ†’ iยทz) +- **โ†“ Arrow**: Soft drop (move down faster) +- **Enter**: Hard drop (instant drop) +- **P**: Pause/Resume game +- **R**: Restart game (when game over) + +### Visualizer +- **Function Buttons**: Select zยฒ, eแถป, or 1/z +- **Magnitude Checkbox**: Toggle magnitude overlay +- **Phase Checkbox**: Toggle phase overlay +- **Animate Button**: Replay transformation animation + +## Project Structure + +``` +Tetris/ +โ”œโ”€โ”€ src/ +โ”‚ โ”œโ”€โ”€ components/ +โ”‚ โ”‚ โ”œโ”€โ”€ TetrisGame.jsx # Tetris game component +โ”‚ โ”‚ โ”œโ”€โ”€ TetrisGame.css # Tetris styles +โ”‚ โ”‚ โ”œโ”€โ”€ ComplexVisualizer.jsx # Function visualizer +โ”‚ โ”‚ โ””โ”€โ”€ ComplexVisualizer.css # Visualizer styles +โ”‚ โ”œโ”€โ”€ utils/ +โ”‚ โ”‚ โ”œโ”€โ”€ complex.js # Complex number library +โ”‚ โ”‚ โ””โ”€โ”€ tetris.js # Tetris game logic +โ”‚ โ”œโ”€โ”€ tests/ +โ”‚ โ”‚ โ”œโ”€โ”€ complex.test.js # Complex number tests +โ”‚ โ”‚ โ””โ”€โ”€ tetris.test.js # Tetris logic tests +โ”‚ โ”œโ”€โ”€ App.jsx # Main application +โ”‚ โ”œโ”€โ”€ App.css # App styles +โ”‚ โ””โ”€โ”€ main.jsx # Entry point +โ”œโ”€โ”€ public/ # Static assets +โ”œโ”€โ”€ index.html # HTML template +โ”œโ”€โ”€ vite.config.js # Vite configuration +โ”œโ”€โ”€ jest.config.js # Jest configuration +โ”œโ”€โ”€ .eslintrc.json # ESLint configuration +โ”œโ”€โ”€ .prettierrc.json # Prettier configuration +โ”œโ”€โ”€ package.json # Dependencies and scripts +โ””โ”€โ”€ LICENSE # MIT License + +## Technologies Used + +- **React 19**: Modern UI framework +- **Vite**: Fast build tool and dev server +- **Canvas API**: For rendering game and visualizations +- **Jest**: Unit testing framework +- **ESLint**: Code linting +- **Prettier**: Code formatting +- **Complex Number Math**: Custom implementation for rotations + +## Testing + +The project includes comprehensive unit tests for: +- Complex number arithmetic operations +- Rotation and transformation functions +- Tetris game logic (piece movement, collision detection, line clearing) +- Score calculation + +Run tests with: +```bash +npm test +``` + +## Code Quality + +The project follows best practices with: +- **ESLint**: Enforces code style and catches errors +- **Prettier**: Ensures consistent code formatting +- **Modular Architecture**: Separated concerns (UI, logic, utilities) +- **Comprehensive Tests**: Unit tests for core functionality +- **JSDoc Comments**: Documented functions with type information + +## Browser Support + +Works on all modern browsers supporting: +- ES2021 features +- Canvas API +- CSS Grid and Flexbox + +## Contributing + +Contributions are welcome! Please feel free to submit a Pull Request. + +## License + +This project is licensed under the MIT License - see the [LICENSE](LICENSE) file for details. + +## Acknowledgments + +- Inspired by classic Tetris and complex analysis +- Uses complex number mathematics for elegant rotation implementation +- Built with modern web technologies + +## Future Enhancements + +Potential improvements: +- Additional complex functions (sin, cos, log) +- 3D visualization of complex surfaces +- Multiplayer mode +- Custom color themes +- Sound effects and music +- High score persistence +- More piece types + +--- + +**Enjoy playing Complex Tetris while exploring the beauty of complex mathematics!** ๐ŸŽฎ๐Ÿ“Šโœจ + diff --git a/eslint.config.js b/eslint.config.js new file mode 100644 index 0000000..8f4002e --- /dev/null +++ b/eslint.config.js @@ -0,0 +1,39 @@ +import js from '@eslint/js'; +import react from 'eslint-plugin-react'; +import reactHooks from 'eslint-plugin-react-hooks'; +import globals from 'globals'; + +export default [ + js.configs.recommended, + { + files: ['**/*.{js,jsx}'], + languageOptions: { + ecmaVersion: 'latest', + sourceType: 'module', + globals: { + ...globals.browser, + ...globals.node, + ...globals.jest, + }, + parserOptions: { + ecmaFeatures: { + jsx: true, + }, + }, + }, + plugins: { + react, + 'react-hooks': reactHooks, + }, + rules: { + 'react/react-in-jsx-scope': 'off', + 'react/prop-types': 'warn', + ...reactHooks.configs.recommended.rules, + }, + settings: { + react: { + version: 'detect', + }, + }, + }, +]; diff --git a/index.html b/index.html new file mode 100644 index 0000000..4818a8a --- /dev/null +++ b/index.html @@ -0,0 +1,13 @@ + + + + + + + Complex Tetris & Visualizer + + +
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+ "canvas", + "visualization" + ], + "author": "", + "license": "MIT", + "devDependencies": { + "@babel/preset-env": "^7.28.5", + "@babel/preset-react": "^7.28.5", + "@eslint/js": "^9.39.1", + "@testing-library/jest-dom": "^6.9.1", + "@testing-library/react": "^16.3.0", + "@vitejs/plugin-react": "^5.1.0", + "babel-jest": "^30.2.0", + "eslint": "^9.39.1", + "eslint-config-prettier": "^10.1.8", + "eslint-plugin-react": "^7.37.5", + "eslint-plugin-react-hooks": "^7.0.1", + "globals": "^16.5.0", + "identity-obj-proxy": "^3.0.0", + "jest": "^30.2.0", + "jest-environment-jsdom": "^30.2.0", + "prettier": "^3.6.2", + "vite": "^7.2.2" + }, + "dependencies": { + "react": "^19.2.0", + "react-dom": "^19.2.0" + } +} diff --git a/src/App.css b/src/App.css new file mode 100644 index 0000000..01d2d16 --- /dev/null +++ b/src/App.css @@ -0,0 +1,95 @@ +* { + box-sizing: border-box; + margin: 0; + padding: 0; +} + +body { + font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif; + background: linear-gradient(135deg, #0f0a1e 0%, #1e0a2e 50%, #0a1628 100%); + min-height: 100vh; + color: #fff; +} + +.app { + min-height: 100vh; + display: flex; + flex-direction: column; + padding: 1rem; +} + +.app-header { + text-align: center; + padding: 1.5rem 1rem; + background: rgba(0, 0, 0, 0.3); + border-radius: 10px; + margin-bottom: 1.5rem; + box-shadow: 0 4px 15px rgba(0, 0, 0, 0.5); +} + +.app-header h1 { + font-size: 2.5rem; + margin-bottom: 0.5rem; + background: linear-gradient(90deg, #4a90e2, #9b59b6); + -webkit-background-clip: text; + -webkit-text-fill-color: transparent; + background-clip: text; + text-shadow: 2px 2px 4px rgba(0, 0, 0, 0.3); +} + +.subtitle { + font-size: 1rem; + color: #ccc; + font-style: italic; +} + +.app-main { + flex: 1; + display: flex; + gap: 1.5rem; + justify-content: center; + align-items: flex-start; + flex-wrap: wrap; + margin-bottom: 1.5rem; +} + +.panel { + flex: 1; + min-width: 350px; + max-width: 600px; +} + +.app-footer { + text-align: center; + padding: 1rem; + background: rgba(0, 0, 0, 0.3); + border-radius: 10px; + color: #aaa; + font-size: 0.9rem; +} + +@media (max-width: 1200px) { + .app-main { + flex-direction: column; + align-items: center; + } + + .panel { + width: 100%; + max-width: 500px; + } +} + +@media (max-width: 768px) { + .app-header h1 { + font-size: 1.8rem; + } + + .subtitle { + font-size: 0.9rem; + } + + .panel { + min-width: 100%; + } +} diff --git a/src/App.jsx b/src/App.jsx new file mode 100644 index 0000000..b2a6e9e --- /dev/null +++ b/src/App.jsx @@ -0,0 +1,32 @@ +/* eslint-disable no-unused-vars */ +import TetrisGame from './components/TetrisGame'; +import ComplexVisualizer from './components/ComplexVisualizer'; +/* eslint-enable no-unused-vars */ +import './App.css'; + +function App() { + return ( +
+
+

Complex Tetris & Visualizer

+

Tetris with complex number rotations + function visualization

+
+
+
+ +
+
+ +
+
+
+

+ Using complex numbers for rotations: z โ†’ iยทz (90ยฐ rotation) | Visualizing f(z) = zยฒ, eแถป, + 1/z +

+
+
+ ); +} + +export default App; diff --git a/src/components/ComplexVisualizer.css b/src/components/ComplexVisualizer.css new file mode 100644 index 0000000..9841c53 --- /dev/null +++ b/src/components/ComplexVisualizer.css @@ -0,0 +1,154 @@ +.complex-visualizer { + display: flex; + flex-direction: column; + align-items: center; + gap: 1rem; + padding: 1rem; + background: linear-gradient(135deg, #2d1b4e 0%, #0f0a1e 100%); + border-radius: 10px; + box-shadow: 0 4px 20px rgba(0, 0, 0, 0.5); + min-height: 100%; +} + +.visualizer-header { + text-align: center; +} + +.visualizer-header h2 { + margin: 0; + color: #fff; + font-size: 2rem; + text-shadow: 2px 2px 4px rgba(0, 0, 0, 0.5); +} + +.visualizer-canvas { + border: 3px solid #9b59b6; + border-radius: 5px; + background: #000; + box-shadow: 0 0 20px rgba(155, 89, 182, 0.5); +} + +.visualizer-controls { + display: flex; + flex-direction: column; + gap: 1.5rem; + width: 100%; + max-width: 400px; + background: rgba(255, 255, 255, 0.1); + padding: 1.5rem; + border-radius: 8px; +} + +.function-selector h3, +.overlay-toggles h3 { + margin: 0 0 0.75rem 0; + color: #9b59b6; + font-size: 1rem; + text-transform: uppercase; +} + +.function-buttons { + display: flex; + gap: 0.5rem; + flex-wrap: wrap; +} + +.function-buttons button { + flex: 1; + min-width: 80px; + padding: 0.75rem 1rem; + font-size: 1.2rem; + font-weight: bold; + color: #fff; + background: #7d3c98; + border: 2px solid #9b59b6; + border-radius: 5px; + cursor: pointer; + transition: all 0.3s ease; +} + +.function-buttons button:hover { + background: #9b59b6; + transform: translateY(-2px); + box-shadow: 0 4px 8px rgba(155, 89, 182, 0.4); +} + +.function-buttons button.active { + background: #9b59b6; + border-color: #fff; + box-shadow: 0 0 15px rgba(155, 89, 182, 0.8); +} + +.overlay-toggles { + display: flex; + flex-direction: column; + gap: 0.5rem; +} + +.overlay-toggles label { + display: flex; + align-items: center; + gap: 0.5rem; + color: #fff; + font-size: 1rem; + cursor: pointer; +} + +.overlay-toggles input[type='checkbox'] { + width: 20px; + height: 20px; + cursor: pointer; + accent-color: #9b59b6; +} + +.animate-button { + padding: 1rem 1.5rem; + font-size: 1.1rem; + font-weight: bold; + color: #fff; + background: linear-gradient(135deg, #e74c3c 0%, #c0392b 100%); + border: none; + border-radius: 5px; + cursor: pointer; + transition: all 0.3s ease; + box-shadow: 0 2px 5px rgba(0, 0, 0, 0.3); +} + +.animate-button:hover { + transform: translateY(-2px); + box-shadow: 0 4px 10px rgba(231, 76, 60, 0.5); +} + +.animate-button:active { + transform: translateY(0); + box-shadow: 0 2px 3px rgba(0, 0, 0, 0.3); +} + +.visualizer-info { + background: rgba(255, 255, 255, 0.1); + padding: 1rem; + border-radius: 5px; + color: #fff; + max-width: 400px; + text-align: center; +} + +.visualizer-info p { + margin: 0.5rem 0; + font-size: 0.9rem; +} + +@media (max-width: 768px) { + .visualizer-canvas { + max-width: 100%; + height: auto; + } + + .function-buttons { + flex-direction: column; + } + + .function-buttons button { + min-width: 100%; + } +} diff --git a/src/components/ComplexVisualizer.jsx b/src/components/ComplexVisualizer.jsx new file mode 100644 index 0000000..853c5ab --- /dev/null +++ b/src/components/ComplexVisualizer.jsx @@ -0,0 +1,326 @@ +import { useEffect, useRef, useState, useCallback } from 'react'; +import * as Complex from '../utils/complex.js'; +import './ComplexVisualizer.css'; + +const ComplexVisualizer = () => { + const canvasRef = useRef(null); + const [selectedFunction, setSelectedFunction] = useState('square'); + const [showMagnitude, setShowMagnitude] = useState(true); + const [showPhase, setShowPhase] = useState(true); + const [isAnimating, setIsAnimating] = useState(false); + const animationRef = useRef(null); + + const GRID_SIZE = 400; + const GRID_RANGE = 3; // -3 to 3 on both axes + const GRID_STEP = 0.2; + + // Convert complex number to canvas coordinates + const complexToCanvas = useCallback((z) => { + const x = (z.re / GRID_RANGE) * (GRID_SIZE / 2) + GRID_SIZE / 2; + const y = -(z.im / GRID_RANGE) * (GRID_SIZE / 2) + GRID_SIZE / 2; + return { x, y }; + }, []); + + // Get color based on magnitude and phase + const getComplexColor = (z, showMag, showPh) => { + if (!showMag && !showPh) return 'rgba(100, 100, 100, 0.5)'; + + const mag = Complex.magnitude(z); + const ph = Complex.phase(z); + + let hue = 0; + let saturation = 0; + let lightness = 50; + + if (showPh) { + // Map phase (-ฯ€ to ฯ€) to hue (0 to 360) + hue = ((ph + Math.PI) / (2 * Math.PI)) * 360; + saturation = 80; + } + + if (showMag) { + // Map magnitude to lightness + const normalizedMag = Math.min(mag / 2, 1); + lightness = 20 + normalizedMag * 60; + } + + return `hsla(${hue}, ${saturation}%, ${lightness}%, 0.7)`; + }; + + // Draw grid and axes + const drawGrid = (ctx) => { + ctx.strokeStyle = '#333'; + ctx.lineWidth = 1; + + // Draw grid lines + for (let i = -GRID_RANGE; i <= GRID_RANGE; i += 0.5) { + // Vertical lines + const x = (i / GRID_RANGE) * (GRID_SIZE / 2) + GRID_SIZE / 2; + ctx.beginPath(); + ctx.moveTo(x, 0); + ctx.lineTo(x, GRID_SIZE); + ctx.stroke(); + + // Horizontal lines + const y = -(i / GRID_RANGE) * (GRID_SIZE / 2) + GRID_SIZE / 2; + ctx.beginPath(); + ctx.moveTo(0, y); + ctx.lineTo(GRID_SIZE, y); + ctx.stroke(); + } + + // Draw axes + ctx.strokeStyle = '#666'; + ctx.lineWidth = 2; + + // Real axis + ctx.beginPath(); + ctx.moveTo(0, GRID_SIZE / 2); + ctx.lineTo(GRID_SIZE, GRID_SIZE / 2); + ctx.stroke(); + + // Imaginary axis + ctx.beginPath(); + ctx.moveTo(GRID_SIZE / 2, 0); + ctx.lineTo(GRID_SIZE / 2, GRID_SIZE); + ctx.stroke(); + + // Labels + ctx.fillStyle = '#fff'; + ctx.font = '12px monospace'; + ctx.fillText('Re', GRID_SIZE - 20, GRID_SIZE / 2 - 10); + ctx.fillText('Im', GRID_SIZE / 2 + 10, 15); + }; + + // Draw complex function visualization + const drawVisualization = useCallback( + (func, progress) => { + const canvas = canvasRef.current; + if (!canvas) return; + + const ctx = canvas.getContext('2d'); + + // Clear canvas + ctx.fillStyle = '#000'; + ctx.fillRect(0, 0, GRID_SIZE, GRID_SIZE); + + drawGrid(ctx); + + // Draw transformed grid + for (let re = -GRID_RANGE; re <= GRID_RANGE; re += GRID_STEP) { + for (let im = -GRID_RANGE; im <= GRID_RANGE; im += GRID_STEP) { + const z = Complex.complex(re, im); + + // Apply transformation with animation + let transformed; + if (progress < 1 && isAnimating) { + // Interpolate between original and transformed + const fullTransform = Complex.applyFunction(func, z); + transformed = Complex.complex( + z.re + (fullTransform.re - z.re) * progress, + z.im + (fullTransform.im - z.im) * progress + ); + } else { + transformed = Complex.applyFunction(func, z); + } + + const { x, y } = complexToCanvas(transformed); + + // Only draw if within bounds + if (x >= 0 && x < GRID_SIZE && y >= 0 && y < GRID_SIZE) { + const color = getComplexColor(transformed, showMagnitude, showPhase); + ctx.fillStyle = color; + ctx.fillRect(x - 2, y - 2, 4, 4); + } + } + } + + // Highlight unit circle transformation + ctx.strokeStyle = '#0f0'; + ctx.lineWidth = 2; + ctx.beginPath(); + let firstPoint = true; + for (let theta = 0; theta <= 2 * Math.PI; theta += 0.05) { + const z = Complex.fromPolar(1, theta); + + let transformed; + if (progress < 1 && isAnimating) { + const fullTransform = Complex.applyFunction(func, z); + transformed = Complex.complex( + z.re + (fullTransform.re - z.re) * progress, + z.im + (fullTransform.im - z.im) * progress + ); + } else { + transformed = Complex.applyFunction(func, z); + } + + const { x, y } = complexToCanvas(transformed); + + if (firstPoint) { + ctx.moveTo(x, y); + firstPoint = false; + } else { + ctx.lineTo(x, y); + } + } + ctx.stroke(); + + // Highlight rotation z โ†’ iยทz + if (func === 'square' || !isAnimating) { + ctx.strokeStyle = '#ff0'; + ctx.lineWidth = 2; + + // Draw arrow showing z โ†’ iยทz rotation for a sample point + const sampleZ = Complex.complex(1.5, 0.5); + const rotated = Complex.rotateByI(sampleZ); + + const start = complexToCanvas(sampleZ); + const end = complexToCanvas(rotated); + + // Arrow line + ctx.beginPath(); + ctx.moveTo(start.x, start.y); + ctx.lineTo(end.x, end.y); + ctx.stroke(); + + // Arrow head + const angle = Math.atan2(end.y - start.y, end.x - start.x); + ctx.beginPath(); + ctx.moveTo(end.x, end.y); + ctx.lineTo( + end.x - 10 * Math.cos(angle - Math.PI / 6), + end.y - 10 * Math.sin(angle - Math.PI / 6) + ); + ctx.moveTo(end.x, end.y); + ctx.lineTo( + end.x - 10 * Math.cos(angle + Math.PI / 6), + end.y - 10 * Math.sin(angle + Math.PI / 6) + ); + ctx.stroke(); + } + + // Function label + ctx.fillStyle = '#fff'; + ctx.font = 'bold 18px monospace'; + const funcLabels = { + square: 'f(z) = zยฒ', + exp: 'f(z) = eแถป', + reciprocal: 'f(z) = 1/z', + }; + ctx.fillText(funcLabels[func], 10, 25); + }, + [complexToCanvas, showMagnitude, showPhase, isAnimating] + ); + + // Animation loop + useEffect(() => { + if (!isAnimating) { + drawVisualization(selectedFunction, 1); + return; + } + + const startTime = Date.now(); + const duration = 2000; // 2 seconds + + const animate = () => { + const elapsed = Date.now() - startTime; + const progress = Math.min(elapsed / duration, 1); + + drawVisualization(selectedFunction, progress); + + if (progress < 1) { + animationRef.current = requestAnimationFrame(animate); + } else { + setIsAnimating(false); + } + }; + + animationRef.current = requestAnimationFrame(animate); + + return () => { + if (animationRef.current) { + cancelAnimationFrame(animationRef.current); + } + }; + }, [isAnimating, selectedFunction, showMagnitude, showPhase, drawVisualization]); + + // Redraw when settings change (without animation) + useEffect(() => { + if (!isAnimating) { + drawVisualization(selectedFunction, 1); + } + }, [selectedFunction, showMagnitude, showPhase, isAnimating, drawVisualization]); + + const handleFunctionChange = (func) => { + setSelectedFunction(func); + setIsAnimating(true); + }; + + return ( +
+
+

Complex Function Visualizer

+
+ +
+
+

Select Function

+
+ + + +
+
+
+

Overlays

+ + +
+ +
+
+

๐ŸŸข Green: Unit circle transformation

+

๐ŸŸก Yellow: z โ†’ iยทz rotation (90ยฐ CCW)

+

Color hue represents phase, brightness represents magnitude

+
+
+ ); +}; + +export default ComplexVisualizer; diff --git a/src/components/TetrisGame.css b/src/components/TetrisGame.css new file mode 100644 index 0000000..623ab0f --- /dev/null +++ b/src/components/TetrisGame.css @@ -0,0 +1,222 @@ +.tetris-game { + display: flex; + flex-direction: column; + align-items: center; + gap: 1rem; + padding: 1rem; + background: linear-gradient(135deg, #1e3a5f 0%, #0a1628 100%); + border-radius: 10px; + box-shadow: 0 4px 20px rgba(0, 0, 0, 0.5); + min-height: 100%; +} + +.game-header { + text-align: center; + position: relative; +} + +.game-header h2 { + margin: 0; + color: #fff; + font-size: 2rem; + text-shadow: 2px 2px 4px rgba(0, 0, 0, 0.5); +} + +.rotation-indicator { + position: absolute; + top: -30px; + left: 50%; + transform: translateX(-50%); + background: #f0a000; + color: #000; + padding: 0.5rem 1rem; + border-radius: 5px; + font-weight: bold; + animation: fadeInOut 0.3s ease-in-out; + white-space: nowrap; +} + +@keyframes fadeInOut { + 0% { + opacity: 0; + transform: translateX(-50%) translateY(10px); + } + 50% { + opacity: 1; + transform: translateX(-50%) translateY(0); + } + 100% { + opacity: 0; + transform: translateX(-50%) translateY(-10px); + } +} + +.game-container { + display: flex; + gap: 1rem; + align-items: flex-start; +} + +.game-canvas { + border: 3px solid #4a90e2; + border-radius: 5px; + background: #000; + box-shadow: 0 0 20px rgba(74, 144, 226, 0.5); +} + +.game-info { + display: flex; + flex-direction: column; + gap: 1rem; +} + +.info-panel { + background: rgba(255, 255, 255, 0.1); + padding: 1rem; + border-radius: 5px; + min-width: 120px; + text-align: center; +} + +.info-panel h3 { + margin: 0 0 0.5rem 0; + color: #4a90e2; + font-size: 1rem; + text-transform: uppercase; +} + +.info-panel p { + margin: 0; + color: #fff; + font-size: 1.5rem; + font-weight: bold; +} + +.score { + color: #f0a000; +} + +.next-piece { + font-size: 2rem; + font-weight: bold; + text-shadow: 2px 2px 4px rgba(0, 0, 0, 0.5); +} + +.game-controls { + display: flex; + flex-direction: column; + gap: 1rem; + width: 100%; + max-width: 400px; +} + +.control-info { + background: rgba(255, 255, 255, 0.1); + padding: 1rem; + border-radius: 5px; + color: #fff; +} + +.control-info p { + margin: 0.3rem 0; + font-size: 0.9rem; +} + +.button-controls { + display: flex; + gap: 1rem; + justify-content: center; +} + +.button-controls button { + padding: 0.75rem 1.5rem; + font-size: 1rem; + font-weight: bold; + color: #fff; + background: #4a90e2; + border: none; + border-radius: 5px; + cursor: pointer; + transition: all 0.3s ease; + box-shadow: 0 2px 5px rgba(0, 0, 0, 0.3); +} + +.button-controls button:hover { + background: #357abd; + transform: translateY(-2px); + box-shadow: 0 4px 8px rgba(0, 0, 0, 0.4); +} + +.button-controls button:active { + transform: translateY(0); + box-shadow: 0 2px 3px rgba(0, 0, 0, 0.3); +} + +.game-over-overlay { + position: fixed; + top: 0; + left: 0; + right: 0; + bottom: 0; + background: rgba(0, 0, 0, 0.8); + display: flex; + align-items: center; + justify-content: center; + z-index: 1000; +} + +.game-over-message { + background: linear-gradient(135deg, #1e3a5f 0%, #0a1628 100%); + padding: 3rem; + border-radius: 10px; + text-align: center; + border: 3px solid #f00; + box-shadow: 0 0 30px rgba(255, 0, 0, 0.5); +} + +.game-over-message h2 { + color: #f00; + margin: 0 0 1rem 0; + font-size: 2.5rem; + text-shadow: 2px 2px 4px rgba(0, 0, 0, 0.5); +} + +.game-over-message p { + color: #fff; + margin: 1rem 0; + font-size: 1.5rem; +} + +.game-over-message button { + margin-top: 1rem; + padding: 1rem 2rem; + font-size: 1.2rem; + font-weight: bold; + color: #fff; + background: #f00; + border: none; + border-radius: 5px; + cursor: pointer; + transition: all 0.3s ease; +} + +.game-over-message button:hover { + background: #c00; + transform: scale(1.05); +} + +@media (max-width: 768px) { + .game-container { + flex-direction: column; + } + + .game-info { + flex-direction: row; + flex-wrap: wrap; + justify-content: center; + } + + .info-panel { + min-width: 100px; + } +} diff --git a/src/components/TetrisGame.jsx b/src/components/TetrisGame.jsx new file mode 100644 index 0000000..45441bd --- /dev/null +++ b/src/components/TetrisGame.jsx @@ -0,0 +1,332 @@ +import { useEffect, useRef, useState, useCallback } from 'react'; +import * as Tetris from '../utils/tetris.js'; +import './TetrisGame.css'; + +const TetrisGame = () => { + const canvasRef = useRef(null); + const [gameState, setGameState] = useState(Tetris.createInitialState()); + const [showRotationVisualization, setShowRotationVisualization] = useState(false); + const dropIntervalRef = useRef(null); + + // Draw the game board and current piece + const draw = useCallback((state) => { + const canvas = canvasRef.current; + if (!canvas) return; + + const ctx = canvas.getContext('2d'); + const { board, currentPiece, piecePosition, currentPieceType } = state; + + // Clear canvas + ctx.fillStyle = '#000'; + ctx.fillRect(0, 0, canvas.width, canvas.height); + + // Draw grid + ctx.strokeStyle = '#333'; + ctx.lineWidth = 1; + for (let y = 0; y <= Tetris.BOARD_HEIGHT; y++) { + ctx.beginPath(); + ctx.moveTo(0, y * Tetris.CELL_SIZE); + ctx.lineTo(Tetris.BOARD_WIDTH * Tetris.CELL_SIZE, y * Tetris.CELL_SIZE); + ctx.stroke(); + } + for (let x = 0; x <= Tetris.BOARD_WIDTH; x++) { + ctx.beginPath(); + ctx.moveTo(x * Tetris.CELL_SIZE, 0); + ctx.lineTo(x * Tetris.CELL_SIZE, Tetris.BOARD_HEIGHT * Tetris.CELL_SIZE); + ctx.stroke(); + } + + // Draw locked pieces on board + board.forEach((row, y) => { + row.forEach((color, x) => { + if (color) { + ctx.fillStyle = color; + ctx.fillRect( + x * Tetris.CELL_SIZE + 1, + y * Tetris.CELL_SIZE + 1, + Tetris.CELL_SIZE - 2, + Tetris.CELL_SIZE - 2 + ); + ctx.strokeStyle = '#000'; + ctx.strokeRect( + x * Tetris.CELL_SIZE + 1, + y * Tetris.CELL_SIZE + 1, + Tetris.CELL_SIZE - 2, + Tetris.CELL_SIZE - 2 + ); + } + }); + }); + + // Draw current piece + if (currentPiece && currentPieceType) { + const color = Tetris.PIECE_COLORS[currentPieceType]; + ctx.fillStyle = color; + currentPiece.forEach((pos) => { + const { x, y } = Tetris.complexToBoard(pos, piecePosition); + if (y >= 0) { + ctx.fillRect( + x * Tetris.CELL_SIZE + 1, + y * Tetris.CELL_SIZE + 1, + Tetris.CELL_SIZE - 2, + Tetris.CELL_SIZE - 2 + ); + ctx.strokeStyle = '#fff'; + ctx.lineWidth = 2; + ctx.strokeRect( + x * Tetris.CELL_SIZE + 1, + y * Tetris.CELL_SIZE + 1, + Tetris.CELL_SIZE - 2, + Tetris.CELL_SIZE - 2 + ); + } + }); + } + }, []); + + // Move piece down + const moveDown = useCallback(() => { + setGameState((prevState) => { + if (prevState.gameOver || prevState.isPaused) return prevState; + + const newPosition = { + x: prevState.piecePosition.x, + y: prevState.piecePosition.y + 1, + }; + + if (Tetris.isValidPosition(prevState.currentPiece, newPosition, prevState.board)) { + return { ...prevState, piecePosition: newPosition }; + } else { + // Lock piece and spawn new one + const newBoard = Tetris.lockPiece( + prevState.currentPiece, + prevState.piecePosition, + prevState.board, + Tetris.PIECE_COLORS[prevState.currentPieceType] + ); + + const { newBoard: clearedBoard, linesCleared } = Tetris.clearLines(newBoard); + const newScore = prevState.score + Tetris.calculateScore(linesCleared, prevState.level); + const newLines = prevState.lines + linesCleared; + const newLevel = Math.floor(newLines / 10); + + const nextPiece = Tetris.PIECES[prevState.nextPieceType]; + const nextPosition = { x: 5, y: 0 }; + const newNextPieceType = Tetris.getRandomPieceType(); + + // Check game over + if (!Tetris.isValidPosition(nextPiece, nextPosition, clearedBoard)) { + return { ...prevState, gameOver: true }; + } + + return { + ...prevState, + board: clearedBoard, + currentPiece: nextPiece, + currentPieceType: prevState.nextPieceType, + piecePosition: nextPosition, + nextPieceType: newNextPieceType, + score: newScore, + lines: newLines, + level: newLevel, + }; + } + }); + }, []); + + // Move piece horizontally + const moveHorizontal = useCallback((direction) => { + setGameState((prevState) => { + if (prevState.gameOver || prevState.isPaused) return prevState; + + const newPosition = { + x: prevState.piecePosition.x + direction, + y: prevState.piecePosition.y, + }; + + if (Tetris.isValidPosition(prevState.currentPiece, newPosition, prevState.board)) { + return { ...prevState, piecePosition: newPosition }; + } + return prevState; + }); + }, []); + + // Rotate piece using complex number multiplication by i + const rotatePiece = useCallback(() => { + setGameState((prevState) => { + if (prevState.gameOver || prevState.isPaused) return prevState; + if (prevState.currentPieceType === 'O') return prevState; // O piece doesn't rotate + + const rotatedPiece = Tetris.rotatePiece(prevState.currentPiece); + + if (Tetris.isValidPosition(rotatedPiece, prevState.piecePosition, prevState.board)) { + setShowRotationVisualization(true); + setTimeout(() => setShowRotationVisualization(false), 300); + return { ...prevState, currentPiece: rotatedPiece }; + } + return prevState; + }); + }, []); + + // Hard drop + const hardDrop = useCallback(() => { + setGameState((prevState) => { + if (prevState.gameOver || prevState.isPaused) return prevState; + + let newY = prevState.piecePosition.y; + while ( + Tetris.isValidPosition( + prevState.currentPiece, + { x: prevState.piecePosition.x, y: newY + 1 }, + prevState.board + ) + ) { + newY++; + } + return { ...prevState, piecePosition: { x: prevState.piecePosition.x, y: newY } }; + }); + }, []); + + // Toggle pause + const togglePause = useCallback(() => { + setGameState((prevState) => ({ ...prevState, isPaused: !prevState.isPaused })); + }, []); + + // Reset game + const resetGame = useCallback(() => { + setGameState(Tetris.createInitialState()); + }, []); + + // Keyboard controls + useEffect(() => { + const handleKeyPress = (e) => { + switch (e.key) { + case 'ArrowLeft': + e.preventDefault(); + moveHorizontal(-1); + break; + case 'ArrowRight': + e.preventDefault(); + moveHorizontal(1); + break; + case 'ArrowDown': + e.preventDefault(); + moveDown(); + break; + case 'ArrowUp': + case ' ': + e.preventDefault(); + rotatePiece(); + break; + case 'p': + case 'P': + togglePause(); + break; + case 'r': + case 'R': + if (gameState.gameOver) { + resetGame(); + } + break; + case 'Enter': + e.preventDefault(); + hardDrop(); + break; + default: + break; + } + }; + + window.addEventListener('keydown', handleKeyPress); + return () => window.removeEventListener('keydown', handleKeyPress); + }, [moveHorizontal, moveDown, rotatePiece, togglePause, resetGame, hardDrop, gameState.gameOver]); + + // Game loop for auto-drop + useEffect(() => { + if (gameState.gameOver || gameState.isPaused) { + if (dropIntervalRef.current) { + clearInterval(dropIntervalRef.current); + dropIntervalRef.current = null; + } + return; + } + + const dropInterval = Math.max(100, 1000 - gameState.level * 100); + dropIntervalRef.current = setInterval(moveDown, dropInterval); + + return () => { + if (dropIntervalRef.current) { + clearInterval(dropIntervalRef.current); + } + }; + }, [gameState.level, gameState.gameOver, gameState.isPaused, moveDown]); + + // Drawing loop + useEffect(() => { + draw(gameState); + }, [gameState, draw]); + + return ( +
+
+

Complex Tetris

+ {showRotationVisualization &&
z โ†’ iยทz rotation!
} +
+
+
+
+

Score

+

{gameState.score}

+
+
+

Level

+

{gameState.level}

+
+
+

Lines

+

{gameState.lines}

+
+
+

Next

+
+ {gameState.nextPieceType} +
+
+
+ +
+
+
+

โ† โ†’ : Move

+

โ†‘ / Space : Rotate (z โ†’ iยทz)

+

โ†“ : Soft Drop

+

Enter : Hard Drop

+

P : Pause

+
+
+ + +
+
+ {gameState.gameOver && ( +
+
+

Game Over!

+

Final Score: {gameState.score}

+ +
+
+ )} +
+ ); +}; + +export default TetrisGame; diff --git a/src/main.jsx b/src/main.jsx new file mode 100644 index 0000000..4198d4a --- /dev/null +++ b/src/main.jsx @@ -0,0 +1,6 @@ +/* eslint-disable no-unused-vars */ +import ReactDOM from 'react-dom/client'; +import App from './App.jsx'; +/* eslint-enable no-unused-vars */ + +ReactDOM.createRoot(document.getElementById('root')).render(); diff --git a/src/tests/complex.test.js b/src/tests/complex.test.js new file mode 100644 index 0000000..da8f6a6 --- /dev/null +++ b/src/tests/complex.test.js @@ -0,0 +1,164 @@ +import * as Complex from '../utils/complex.js'; + +describe('Complex Number Utilities', () => { + describe('complex creation', () => { + test('creates a complex number', () => { + const z = Complex.complex(3, 4); + expect(z.re).toBe(3); + expect(z.im).toBe(4); + }); + }); + + describe('basic arithmetic', () => { + test('adds two complex numbers', () => { + const z1 = Complex.complex(1, 2); + const z2 = Complex.complex(3, 4); + const result = Complex.add(z1, z2); + expect(result.re).toBe(4); + expect(result.im).toBe(6); + }); + + test('subtracts two complex numbers', () => { + const z1 = Complex.complex(5, 7); + const z2 = Complex.complex(2, 3); + const result = Complex.subtract(z1, z2); + expect(result.re).toBe(3); + expect(result.im).toBe(4); + }); + + test('multiplies two complex numbers', () => { + const z1 = Complex.complex(1, 2); + const z2 = Complex.complex(3, 4); + const result = Complex.multiply(z1, z2); + // (1+2i)(3+4i) = 3 + 4i + 6i + 8iยฒ = 3 + 10i - 8 = -5 + 10i + expect(result.re).toBe(-5); + expect(result.im).toBe(10); + }); + + test('divides two complex numbers', () => { + const z1 = Complex.complex(1, 0); + const z2 = Complex.complex(0, 1); + const result = Complex.divide(z1, z2); + expect(result.re).toBeCloseTo(0); + expect(result.im).toBeCloseTo(-1); + }); + + test('handles division by zero', () => { + const z1 = Complex.complex(1, 0); + const z2 = Complex.complex(0, 0); + const result = Complex.divide(z1, z2); + expect(result.re).toBe(Infinity); + expect(result.im).toBe(Infinity); + }); + }); + + describe('magnitude and phase', () => { + test('calculates magnitude correctly', () => { + const z = Complex.complex(3, 4); + expect(Complex.magnitude(z)).toBe(5); + }); + + test('calculates phase correctly', () => { + const z = Complex.complex(1, 1); + expect(Complex.phase(z)).toBeCloseTo(Math.PI / 4); + }); + + test('calculates phase for negative real axis', () => { + const z = Complex.complex(-1, 0); + expect(Complex.phase(z)).toBeCloseTo(Math.PI); + }); + }); + + describe('rotations', () => { + test('rotates by i (90 degrees counterclockwise)', () => { + const z = Complex.complex(1, 0); + const rotated = Complex.rotateByI(z); + expect(rotated.re).toBeCloseTo(0); + expect(rotated.im).toBeCloseTo(1); + }); + + test('rotates by i twice (180 degrees)', () => { + const z = Complex.complex(1, 0); + const rotated = Complex.rotateByI(Complex.rotateByI(z)); + expect(rotated.re).toBeCloseTo(-1); + expect(rotated.im).toBeCloseTo(0); + }); + + test('rotates by angle', () => { + const z = Complex.complex(1, 0); + const rotated = Complex.rotate(z, Math.PI / 2); + expect(rotated.re).toBeCloseTo(0); + expect(rotated.im).toBeCloseTo(1); + }); + }); + + describe('complex functions', () => { + test('calculates exponential', () => { + const z = Complex.complex(0, Math.PI); + const result = Complex.exp(z); + // e^(iฯ€) = -1 + expect(result.re).toBeCloseTo(-1); + expect(result.im).toBeCloseTo(0); + }); + + test('calculates square', () => { + const z = Complex.complex(1, 1); + const result = Complex.square(z); + // (1+i)ยฒ = 1 + 2i + iยฒ = 2i + expect(result.re).toBeCloseTo(0); + expect(result.im).toBeCloseTo(2); + }); + + test('calculates reciprocal', () => { + const z = Complex.complex(0, 1); + const result = Complex.reciprocal(z); + // 1/i = -i + expect(result.re).toBeCloseTo(0); + expect(result.im).toBeCloseTo(-1); + }); + }); + + describe('polar coordinates', () => { + test('converts to polar form', () => { + const z = Complex.complex(1, 1); + const polar = Complex.toPolar(z); + expect(polar.r).toBeCloseTo(Math.sqrt(2)); + expect(polar.theta).toBeCloseTo(Math.PI / 4); + }); + + test('creates from polar coordinates', () => { + const z = Complex.fromPolar(1, Math.PI / 2); + expect(z.re).toBeCloseTo(0); + expect(z.im).toBeCloseTo(1); + }); + }); + + describe('applyFunction', () => { + test('applies square function', () => { + const z = Complex.complex(2, 0); + const result = Complex.applyFunction('square', z); + expect(result.re).toBe(4); + expect(result.im).toBe(0); + }); + + test('applies exp function', () => { + const z = Complex.complex(0, 0); + const result = Complex.applyFunction('exp', z); + expect(result.re).toBeCloseTo(1); + expect(result.im).toBeCloseTo(0); + }); + + test('applies reciprocal function', () => { + const z = Complex.complex(2, 0); + const result = Complex.applyFunction('reciprocal', z); + expect(result.re).toBeCloseTo(0.5); + expect(result.im).toBeCloseTo(0); + }); + + test('returns identity for unknown function', () => { + const z = Complex.complex(2, 3); + const result = Complex.applyFunction('unknown', z); + expect(result).toEqual(z); + }); + }); +}); diff --git a/src/tests/tetris.test.js b/src/tests/tetris.test.js new file mode 100644 index 0000000..c30a09e --- /dev/null +++ b/src/tests/tetris.test.js @@ -0,0 +1,246 @@ +import * as Tetris from '../utils/tetris.js'; +import * as Complex from '../utils/complex.js'; + +describe('Tetris Game Logic', () => { + describe('board creation', () => { + test('creates an empty board with correct dimensions', () => { + const board = Tetris.createEmptyBoard(); + expect(board).toHaveLength(Tetris.BOARD_HEIGHT); + expect(board[0]).toHaveLength(Tetris.BOARD_WIDTH); + expect(board[0][0]).toBeNull(); + }); + }); + + describe('piece management', () => { + test('gets a random piece type', () => { + const pieceType = Tetris.getRandomPieceType(); + expect(Object.keys(Tetris.PIECES)).toContain(pieceType); + }); + + test('all pieces are defined with 4 blocks', () => { + Object.values(Tetris.PIECES).forEach((piece) => { + expect(piece).toHaveLength(4); + }); + }); + + test('all pieces have colors defined', () => { + Object.keys(Tetris.PIECES).forEach((key) => { + expect(Tetris.PIECE_COLORS[key]).toBeDefined(); + }); + }); + }); + + describe('piece rotation', () => { + test('rotates I piece correctly using complex numbers', () => { + const piece = Tetris.PIECES.I; + const rotated = Tetris.rotatePiece(piece); + + // Verify rotation happened (positions should be different) + expect(rotated).toHaveLength(4); + expect(rotated[0]).not.toEqual(piece[0]); + }); + + test('rotating 4 times returns to original orientation', () => { + const piece = Tetris.PIECES.T; + let rotated = piece; + + for (let i = 0; i < 4; i++) { + rotated = Tetris.rotatePiece(rotated); + } + + // After 4 rotations, should be close to original + for (let i = 0; i < 4; i++) { + expect(rotated[i].re).toBeCloseTo(piece[i].re); + expect(rotated[i].im).toBeCloseTo(piece[i].im); + } + }); + }); + + describe('piece translation', () => { + test('translates piece by offset', () => { + const piece = Tetris.PIECES.O; + const offset = Complex.complex(2, 3); + const translated = Tetris.translatePiece(piece, offset); + + expect(translated).toHaveLength(4); + expect(translated[0].re).toBe(piece[0].re + 2); + expect(translated[0].im).toBe(piece[0].im + 3); + }); + }); + + describe('coordinate conversion', () => { + test('converts complex to board coordinates', () => { + const pos = Complex.complex(1, 2); + const center = { x: 5, y: 3 }; + const coords = Tetris.complexToBoard(pos, center); + + expect(coords.x).toBe(6); + expect(coords.y).toBe(5); + }); + + test('handles negative complex coordinates', () => { + const pos = Complex.complex(-1, -1); + const center = { x: 5, y: 5 }; + const coords = Tetris.complexToBoard(pos, center); + + expect(coords.x).toBe(4); + expect(coords.y).toBe(4); + }); + }); + + describe('position validation', () => { + test('validates valid position on empty board', () => { + const board = Tetris.createEmptyBoard(); + const piece = Tetris.PIECES.O; + const position = { x: 5, y: 5 }; + + expect(Tetris.isValidPosition(piece, position, board)).toBe(true); + }); + + test('invalidates position outside left boundary', () => { + const board = Tetris.createEmptyBoard(); + const piece = Tetris.PIECES.I; + const position = { x: 0, y: 5 }; + + expect(Tetris.isValidPosition(piece, position, board)).toBe(false); + }); + + test('invalidates position outside right boundary', () => { + const board = Tetris.createEmptyBoard(); + const piece = Tetris.PIECES.I; + const position = { x: Tetris.BOARD_WIDTH, y: 5 }; + + expect(Tetris.isValidPosition(piece, position, board)).toBe(false); + }); + + test('invalidates position with collision', () => { + const board = Tetris.createEmptyBoard(); + board[5][5] = '#ff0000'; // Block at position + const piece = Tetris.PIECES.O; + const position = { x: 5, y: 5 }; + + expect(Tetris.isValidPosition(piece, position, board)).toBe(false); + }); + }); + + describe('piece locking', () => { + test('locks piece onto board', () => { + const board = Tetris.createEmptyBoard(); + const piece = Tetris.PIECES.O; + const position = { x: 5, y: 18 }; + const color = '#ffff00'; + + const newBoard = Tetris.lockPiece(piece, position, board, color); + + // Check that some cells are now filled + let filledCount = 0; + newBoard.forEach((row) => { + row.forEach((cell) => { + if (cell === color) filledCount++; + }); + }); + + expect(filledCount).toBe(4); + }); + + test('does not modify original board', () => { + const board = Tetris.createEmptyBoard(); + const piece = Tetris.PIECES.O; + const position = { x: 5, y: 18 }; + + Tetris.lockPiece(piece, position, board, '#ffff00'); + + expect(board[18][5]).toBeNull(); + }); + }); + + describe('line clearing', () => { + test('clears full lines', () => { + const board = Tetris.createEmptyBoard(); + // Fill bottom row + for (let x = 0; x < Tetris.BOARD_WIDTH; x++) { + board[Tetris.BOARD_HEIGHT - 1][x] = '#ff0000'; + } + + const { newBoard, linesCleared } = Tetris.clearLines(board); + + expect(linesCleared).toBe(1); + expect(newBoard[Tetris.BOARD_HEIGHT - 1].every((cell) => cell === null)).toBe(true); + }); + + test('does not clear incomplete lines', () => { + const board = Tetris.createEmptyBoard(); + // Fill bottom row except one cell + for (let x = 0; x < Tetris.BOARD_WIDTH - 1; x++) { + board[Tetris.BOARD_HEIGHT - 1][x] = '#ff0000'; + } + + const { linesCleared } = Tetris.clearLines(board); + + expect(linesCleared).toBe(0); + }); + + test('clears multiple lines', () => { + const board = Tetris.createEmptyBoard(); + // Fill bottom two rows + for (let y = Tetris.BOARD_HEIGHT - 2; y < Tetris.BOARD_HEIGHT; y++) { + for (let x = 0; x < Tetris.BOARD_WIDTH; x++) { + board[y][x] = '#ff0000'; + } + } + + const { linesCleared } = Tetris.clearLines(board); + + expect(linesCleared).toBe(2); + }); + + test('maintains board height after clearing', () => { + const board = Tetris.createEmptyBoard(); + for (let x = 0; x < Tetris.BOARD_WIDTH; x++) { + board[Tetris.BOARD_HEIGHT - 1][x] = '#ff0000'; + } + + const { newBoard } = Tetris.clearLines(board); + + expect(newBoard).toHaveLength(Tetris.BOARD_HEIGHT); + }); + }); + + describe('score calculation', () => { + test('calculates score for single line', () => { + expect(Tetris.calculateScore(1, 0)).toBe(100); + }); + + test('calculates score for double lines', () => { + expect(Tetris.calculateScore(2, 0)).toBe(300); + }); + + test('calculates score for triple lines', () => { + expect(Tetris.calculateScore(3, 0)).toBe(500); + }); + + test('calculates score for tetris (4 lines)', () => { + expect(Tetris.calculateScore(4, 0)).toBe(800); + }); + + test('multiplies score by level', () => { + expect(Tetris.calculateScore(1, 2)).toBe(300); // 100 * (2+1) + }); + }); + + describe('game state initialization', () => { + test('creates initial game state', () => { + const state = Tetris.createInitialState(); + + expect(state.board).toHaveLength(Tetris.BOARD_HEIGHT); + expect(state.currentPiece).toBeDefined(); + expect(state.currentPieceType).toBeDefined(); + expect(state.piecePosition).toEqual({ x: 5, y: 0 }); + expect(state.score).toBe(0); + expect(state.level).toBe(0); + expect(state.lines).toBe(0); + expect(state.gameOver).toBe(false); + expect(state.isPaused).toBe(false); + }); + }); +}); diff --git a/src/utils/complex.js b/src/utils/complex.js new file mode 100644 index 0000000..3556551 --- /dev/null +++ b/src/utils/complex.js @@ -0,0 +1,148 @@ +/** + * Complex number utility library for Tetris rotations and visualizations + */ + +/** + * Creates a complex number from real and imaginary parts + * @param {number} real - Real part + * @param {number} imag - Imaginary part + * @returns {Object} Complex number object {re, im} + */ +export const complex = (real, imag) => ({ re: real, im: imag }); + +/** + * Adds two complex numbers + * @param {Object} z1 - First complex number + * @param {Object} z2 - Second complex number + * @returns {Object} Sum of z1 and z2 + */ +export const add = (z1, z2) => complex(z1.re + z2.re, z1.im + z2.im); + +/** + * Subtracts two complex numbers + * @param {Object} z1 - First complex number + * @param {Object} z2 - Second complex number + * @returns {Object} Difference z1 - z2 + */ +export const subtract = (z1, z2) => complex(z1.re - z2.re, z1.im - z2.im); + +/** + * Multiplies two complex numbers + * @param {Object} z1 - First complex number + * @param {Object} z2 - Second complex number + * @returns {Object} Product of z1 and z2 + */ +export const multiply = (z1, z2) => + complex(z1.re * z2.re - z1.im * z2.im, z1.re * z2.im + z1.im * z2.re); + +/** + * Divides two complex numbers + * @param {Object} z1 - Numerator + * @param {Object} z2 - Denominator + * @returns {Object} Quotient z1 / z2 + */ +export const divide = (z1, z2) => { + const denominator = z2.re * z2.re + z2.im * z2.im; + if (denominator === 0) { + return complex(Infinity, Infinity); + } + return complex( + (z1.re * z2.re + z1.im * z2.im) / denominator, + (z1.im * z2.re - z1.re * z2.im) / denominator + ); +}; + +/** + * Calculates magnitude (modulus) of a complex number + * @param {Object} z - Complex number + * @returns {number} Magnitude |z| + */ +export const magnitude = (z) => Math.sqrt(z.re * z.re + z.im * z.im); + +/** + * Calculates phase (argument) of a complex number in radians + * @param {Object} z - Complex number + * @returns {number} Phase in radians + */ +export const phase = (z) => Math.atan2(z.im, z.re); + +/** + * Rotates a complex number by multiplying by i (90ยฐ counterclockwise) + * This implements the key rotation z โ†’ iยทz + * @param {Object} z - Complex number + * @returns {Object} Rotated complex number + */ +export const rotateByI = (z) => complex(-z.im, z.re); + +/** + * Rotates a complex number by an angle in radians + * @param {Object} z - Complex number + * @param {number} angle - Angle in radians + * @returns {Object} Rotated complex number + */ +export const rotate = (z, angle) => { + const cos = Math.cos(angle); + const sin = Math.sin(angle); + return complex(z.re * cos - z.im * sin, z.re * sin + z.im * cos); +}; + +/** + * Complex exponential function e^z + * @param {Object} z - Complex number + * @returns {Object} e^z + */ +export const exp = (z) => { + const expReal = Math.exp(z.re); + return complex(expReal * Math.cos(z.im), expReal * Math.sin(z.im)); +}; + +/** + * Complex square function zยฒ + * @param {Object} z - Complex number + * @returns {Object} zยฒ + */ +export const square = (z) => multiply(z, z); + +/** + * Complex reciprocal 1/z + * @param {Object} z - Complex number + * @returns {Object} 1/z + */ +export const reciprocal = (z) => divide(complex(1, 0), z); + +/** + * Converts complex number to polar form + * @param {Object} z - Complex number + * @returns {Object} Polar form {r: magnitude, theta: phase} + */ +export const toPolar = (z) => ({ + r: magnitude(z), + theta: phase(z), +}); + +/** + * Creates complex number from polar coordinates + * @param {number} r - Magnitude + * @param {number} theta - Phase in radians + * @returns {Object} Complex number + */ +export const fromPolar = (r, theta) => complex(r * Math.cos(theta), r * Math.sin(theta)); + +/** + * Applies a complex function to visualize transformations + * @param {string} functionType - Type of function ('square', 'exp', 'reciprocal') + * @param {Object} z - Complex number + * @returns {Object} Transformed complex number + */ +export const applyFunction = (functionType, z) => { + switch (functionType) { + case 'square': + return square(z); + case 'exp': + return exp(z); + case 'reciprocal': + return reciprocal(z); + default: + return z; + } +}; diff --git a/src/utils/tetris.js b/src/utils/tetris.js new file mode 100644 index 0000000..26f953b --- /dev/null +++ b/src/utils/tetris.js @@ -0,0 +1,161 @@ +import * as Complex from './complex.js'; + +/** + * Tetris game state and logic using complex numbers for rotations + */ + +// Tetris piece definitions using complex numbers +// Each piece is defined as a set of complex number positions +export const PIECES = { + I: [Complex.complex(-1, 0), Complex.complex(0, 0), Complex.complex(1, 0), Complex.complex(2, 0)], + O: [Complex.complex(0, 0), Complex.complex(1, 0), Complex.complex(0, 1), Complex.complex(1, 1)], + T: [Complex.complex(-1, 0), Complex.complex(0, 0), Complex.complex(1, 0), Complex.complex(0, 1)], + S: [Complex.complex(0, 0), Complex.complex(1, 0), Complex.complex(-1, 1), Complex.complex(0, 1)], + Z: [Complex.complex(-1, 0), Complex.complex(0, 0), Complex.complex(0, 1), Complex.complex(1, 1)], + J: [Complex.complex(-1, 1), Complex.complex(-1, 0), Complex.complex(0, 0), Complex.complex(1, 0)], + L: [Complex.complex(1, 1), Complex.complex(-1, 0), Complex.complex(0, 0), Complex.complex(1, 0)], +}; + +export const PIECE_COLORS = { + I: '#00f0f0', + O: '#f0f000', + T: '#a000f0', + S: '#00f000', + Z: '#f00000', + J: '#0000f0', + L: '#f0a000', +}; + +// Board dimensions +export const BOARD_WIDTH = 10; +export const BOARD_HEIGHT = 20; +export const CELL_SIZE = 30; + +/** + * Creates an empty game board + * @returns {Array} Empty board matrix + */ +export const createEmptyBoard = () => + Array(BOARD_HEIGHT) + .fill(null) + .map(() => Array(BOARD_WIDTH).fill(null)); + +/** + * Gets a random piece type + * @returns {string} Random piece type key + */ +export const getRandomPieceType = () => { + const types = Object.keys(PIECES); + return types[Math.floor(Math.random() * types.length)]; +}; + +/** + * Rotates a piece using complex number multiplication by i + * This implements the key rotation: z โ†’ iยทz (90ยฐ counterclockwise) + * @param {Array} piece - Array of complex number positions + * @returns {Array} Rotated piece positions + */ +export const rotatePiece = (piece) => piece.map((pos) => Complex.rotateByI(pos)); + +/** + * Translates a piece by adding a complex offset + * @param {Array} piece - Array of complex number positions + * @param {Object} offset - Complex number offset + * @returns {Array} Translated piece positions + */ +export const translatePiece = (piece, offset) => piece.map((pos) => Complex.add(pos, offset)); + +/** + * Converts complex position to board coordinates + * @param {Object} pos - Complex number position + * @param {Object} centerPos - Center position on board + * @returns {Object} Board coordinates {x, y} + */ +export const complexToBoard = (pos, centerPos) => ({ + x: Math.round(centerPos.x + pos.re), + y: Math.round(centerPos.y + pos.im), +}); + +/** + * Checks if a piece position is valid on the board + * @param {Array} piece - Array of complex number positions + * @param {Object} centerPos - Center position {x, y} + * @param {Array} board - Game board + * @returns {boolean} True if position is valid + */ +export const isValidPosition = (piece, centerPos, board) => { + return piece.every((pos) => { + const { x, y } = complexToBoard(pos, centerPos); + return ( + x >= 0 && + x < BOARD_WIDTH && + y >= 0 && + y < BOARD_HEIGHT && + (board[y] === undefined || board[y][x] === null) + ); + }); +}; + +/** + * Locks a piece onto the board + * @param {Array} piece - Array of complex number positions + * @param {Object} centerPos - Center position {x, y} + * @param {Array} board - Game board + * @param {string} color - Piece color + * @returns {Array} Updated board + */ +export const lockPiece = (piece, centerPos, board, color) => { + const newBoard = board.map((row) => [...row]); + piece.forEach((pos) => { + const { x, y } = complexToBoard(pos, centerPos); + if (y >= 0 && y < BOARD_HEIGHT && x >= 0 && x < BOARD_WIDTH) { + newBoard[y][x] = color; + } + }); + return newBoard; +}; + +/** + * Clears completed lines from the board + * @param {Array} board - Game board + * @returns {Object} {newBoard, linesCleared} + */ +export const clearLines = (board) => { + const newBoard = board.filter((row) => row.some((cell) => cell === null)); + const linesCleared = BOARD_HEIGHT - newBoard.length; + while (newBoard.length < BOARD_HEIGHT) { + newBoard.unshift(Array(BOARD_WIDTH).fill(null)); + } + return { newBoard, linesCleared }; +}; + +/** + * Calculates score based on lines cleared + * @param {number} linesCleared - Number of lines cleared + * @param {number} level - Current level + * @returns {number} Score to add + */ +export const calculateScore = (linesCleared, level) => { + const baseScores = [0, 100, 300, 500, 800]; + return baseScores[linesCleared] * (level + 1); +}; + +/** + * Creates initial game state + * @returns {Object} Initial game state + */ +export const createInitialState = () => { + const pieceType = getRandomPieceType(); + return { + board: createEmptyBoard(), + currentPiece: PIECES[pieceType], + currentPieceType: pieceType, + piecePosition: { x: 5, y: 0 }, + nextPieceType: getRandomPieceType(), + score: 0, + level: 0, + lines: 0, + gameOver: false, + isPaused: false, + }; +}; diff --git a/vite.config.js b/vite.config.js new file mode 100644 index 0000000..ee0cd13 --- /dev/null +++ b/vite.config.js @@ -0,0 +1,14 @@ +import { defineConfig } from 'vite'; +import react from '@vitejs/plugin-react'; + +export default defineConfig({ + plugins: [react()], + server: { + port: 3000, + open: true, + }, + build: { + outDir: 'dist', + sourcemap: true, + }, +});