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F(x) Graph and Audio Visualizer

Description

This project allows users to visualize mathematical functions as graphs and listen to their audio representations in real-time. The tool enables interactive graph generation, dynamic function definition, and audio playback using Tone.js. It is designed with a dark and light mode theme and provides intuitive input fields for function expression, as well as configurable lower and upper limits for the x-axis.

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Features

• Graphing Function: Enter a mathematical function for f(x) (e.g., Math.sin(x), 3*x + 1, or collatz).
• Audio Visualization: Hear the audio playback of the graph as a series of musical notes.
• Dynamic Limits: Adjust the range of the x-axis (lower and upper limits).
• Dark/Light Mode: Toggle between dark and light themes.
• Reset: Reset the graph, input fields, and audio state to their default values.

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Tech Stack

• Frontend:
  • React (via Remix)
  • TailwindCSS for styling
  • MathJS (instead of eval() )
• Backend:
  • Tone.js for audio synthesis
• Canvas API: For rendering graphs dynamically
• JavaScript: For evaluating mathematical functions and handling interactivity

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Installation

To set up the project locally, follow these steps:

1. Clone the repository:

   git clone https://github.com/debadityamalakar/graph-audio-visualizer.git

2. Install dependencies:

   cd graph-audio-visualizer
   npm install

3. Run the development server:

   npm run dev

4. Open your browser and navigate to http://localhost:3000 to see the project in action.

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Usage

Defining the Function

• Input the function: In the f(x) input field, enter a valid JavaScript mathematical expression, such as Math.sin(x), x * x, or 3 * x + 1.
• Collatz Function: If you enter collatz, it will generate the Collatz sequence for a given starting value.

Adjusting Limits

• Lower Limit: Set the starting point for the x-axis. This determines where the graph begins.
• Upper Limit: Set the endpoint for the x-axis. The graph will be generated for all x values between the lower and upper limits.

Graphing and Audio

• Generate Graph: After setting the function and limits, click the Generate Graph button to display the graph.
• Play Audio: Click the Play Audio button to start playing an audio representation of the graph.
• Stop Audio: Stop the audio playback with the Stop Audio button.
• Reset: Reset the input fields, graph, and audio state by clicking the Reset button.

Dark/Light Mode

Toggle between dark and light themes by clicking the Dark Mode / Light Mode button in the top-right corner.

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File Structure

/graph-audio-visualizer
├── /public
│   └── /assets
│       └── (static assets like images)
├── /src
│   ├── /components
│   ├── /styles
│   ├── /utils
│   └── /pages
├── /package.json
├── /tailwind.config.js
├── /tsconfig.json
└── /README.md

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Contributions

Contributions are welcome! To contribute, please fork the repository and create a pull request. Ensure that your code is clean and well-documented. If you're adding new features, please update the README accordingly.

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License

This project is open-source and available under the MIT License.

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Acknowledgements

• Tone.js: For handling audio synthesis and playback.
• React: For building the user interface.
• TailwindCSS: For rapid and responsive styling.
• Canvas API: For rendering the dynamic graph.

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Contact

For questions or inquiries, feel free to reach out via email.

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Let me know if you need any additional information in the README!