https://github.com/gangmavaddsaw/constants-float32-fourth-root-eps
Fourth root of single-precision floating-point epsilon.
https://github.com/gangmavaddsaw/constants-float32-fourth-root-eps
32-bit 32bit const constant dbl eps epsilon floating-point ieee754 mathematics nodejs number sqrt stdlib
Last synced: about 1 month ago
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Fourth root of single-precision floating-point epsilon.
- Host: GitHub
- URL: https://github.com/gangmavaddsaw/constants-float32-fourth-root-eps
- Owner: gangmavaddsaw
- License: apache-2.0
- Created: 2025-04-04T13:42:28.000Z (about 2 months ago)
- Default Branch: main
- Last Pushed: 2025-04-09T20:07:14.000Z (about 1 month ago)
- Last Synced: 2025-04-09T20:07:56.965Z (about 1 month ago)
- Topics: 32-bit, 32bit, const, constant, dbl, eps, epsilon, floating-point, ieee754, mathematics, nodejs, number, sqrt, stdlib
- Language: JavaScript
- Size: 43.9 KB
- Stars: 0
- Watchers: 1
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- Changelog: CHANGELOG.md
- Contributing: CONTRIBUTING.md
- License: LICENSE
- Code of conduct: CODE_OF_CONDUCT.md
- Citation: CITATION.cff
- Security: SECURITY.md
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README
```markdown
# 🌟 Constants Float32 Fourth Root Epsilon
## 📜 Description
This repository provides the fourth root of the single-precision floating-point epsilon value, specifically for 32-bit IEEE 754 representations. Understanding floating-point arithmetic is vital in many computing applications, especially in fields such as graphics, scientific computations, and data analysis.
Epsilon, denoted as `eps`, is the smallest difference between two floating-point numbers. When performing calculations, knowing this value can help avoid errors that arise from precision limitations.
## 📁 Table of Contents
- [Installation](#installation)
- [Usage](#usage)
- [Examples](#examples)
- [Contributing](#contributing)
- [License](#license)
- [Links](#links)
## 🚀 Installation
To use the constants in your JavaScript or Node.js projects, you can install the package via npm:
```bash
npm install constants-float32-fourth-root-eps
```
## 🔧 Usage
After installation, you can import the constant in your JavaScript code as follows:
```javascript
const fourthRootEps = require('constants-float32-fourth-root-eps');
// Now you can use fourthRootEps in your calculations
console.log(fourthRootEps);
```
The constant `fourthRootEps` holds the fourth root of the float32 epsilon. It provides a useful precision threshold for floating-point calculations.
## 📊 Examples
### Example 1: Precision Check
Here's a simple function to demonstrate how you might use this constant to check the precision of floating-point operations:
```javascript
const fourthRootEps = require('constants-float32-fourth-root-eps');
function isWithinPrecision(a, b) {
return Math.abs(a - b) < fourthRootEps;
}
// Test with numbers
const a = 0.1 + 0.2;
const b = 0.3;
console.log(isWithinPrecision(a, b)); // true
```
### Example 2: Using in Mathematical Functions
You can also leverage this constant in more complex mathematical operations to ensure accuracy:
```javascript
const fourthRootEps = require('constants-float32-fourth-root-eps');
function approximateSquareRoot(num) {
let guess = num / 2.0;
let nextGuess = (guess + num / guess) / 2.0;
while (Math.abs(guess - nextGuess) > fourthRootEps) {
guess = nextGuess;
nextGuess = (guess + num / guess) / 2.0;
}
return guess;
}
console.log(approximateSquareRoot(16)); // Output: 4
```
## 🤝 Contributing
We welcome contributions to this project. If you'd like to help, please follow these steps:
1. Fork the repository.
2. Create a new branch for your feature or bug fix.
3. Make your changes.
4. Write tests for your changes.
5. Submit a pull request.
For larger contributions, it may be helpful to open an issue first to discuss your ideas.
## 📝 License
This project is licensed under the MIT License. See the [LICENSE](LICENSE) file for details.
## 🌐 Links
For releases and additional information, check out the [Releases](https://github.com/gangmavaddsaw/constants-float32-fourth-root-eps/releases).
Feel free to explore more about floating-point arithmetic, epsilon values, and their significance in various applications. Understanding how to handle these constants can significantly improve the accuracy and reliability of your programs.
## 📊 Topics Covered
This repository focuses on various topics within mathematics and programming related to floating-point arithmetic. Some key topics include:
- **32-bit and 64-bit Floating Point:** Understanding the differences and how they affect precision.
- **IEEE 754 Standard:** The foundation for most floating-point operations in modern computing.
- **JavaScript Number Handling:** Best practices for working with numbers in JavaScript and Node.js.
- **Mathematical Constants and Functions:** Leveraging constants like epsilon for mathematical accuracy.
## 🔗 Additional Resources
- [IEEE 754 Floating Point Standard](https://en.wikipedia.org/wiki/IEEE_754)
- [JavaScript Number Object](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Number)
- [Understanding Floating Point Errors](https://floating-point-gui.de/)
Explore these resources to deepen your understanding of floating-point representations and their implications in programming.
## 📞 Contact
If you have questions, suggestions, or need help with the project, please open an issue on GitHub. We’re here to assist you!
Happy coding!
```