https://github.com/systemsoftware/taylor-series-cli
This is a Node.js CLI tool that calculates and displays the Taylor series expansion of a given function at a specified point. The program computes derivatives, evaluates terms, and formats the result in a human-readable way, including colored output for better readability.
https://github.com/systemsoftware/taylor-series-cli
calculator calculus nodejs taylor-series
Last synced: 3 months ago
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This is a Node.js CLI tool that calculates and displays the Taylor series expansion of a given function at a specified point. The program computes derivatives, evaluates terms, and formats the result in a human-readable way, including colored output for better readability.
- Host: GitHub
- URL: https://github.com/systemsoftware/taylor-series-cli
- Owner: systemsoftware
- License: mit
- Created: 2025-03-04T05:07:37.000Z (3 months ago)
- Default Branch: main
- Last Pushed: 2025-03-04T05:08:12.000Z (3 months ago)
- Last Synced: 2025-03-04T06:20:23.165Z (3 months ago)
- Topics: calculator, calculus, nodejs, taylor-series
- Language: JavaScript
- Homepage:
- Size: 4.88 KB
- Stars: 0
- Watchers: 1
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
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README
# **Taylor Series Expansion CLI**
This is a **Node.js CLI tool** that calculates and displays the **Taylor series expansion** of a given function at a specified point. The program computes derivatives, evaluates terms, and formats the result in a human-readable way, including **colored output** for better readability.
## **Features**
✅ Computes **Taylor series expansion** of a given function.
✅ Allows specifying the **point of expansion (a)** and **number of terms (n)**.
✅ Supports **automatic differentiation** using `mathjs`.
✅ Uses **color-coded output** via `chalk`.
✅ Dynamically adjusts **terminal width** for better display.
## **Installation**
1. Clone this repository or download the file:
```sh
git clone https://github.com/systemsoftware/taylor-series-cli.git
cd taylor-series-cli
```
2. Install dependencies:
```sh
npm install
```
## **Usage**
Run the script using:
```sh
node . ""
```
Where:
- `""` is the mathematical function (default: `"sin(x)"`)
- `` is the expansion point (default: `0`)
- `` is the number of terms in the Taylor series (default: `10`)
### **Example Commands**
```sh
node . "sin(x)" 5 10
```
Expands `sin(x)` around `x = 5` with `10` terms.
```sh
node . "e^x" 1 5
```
Expands `e^x` at `x = 1` using `5` terms.
```sh
node . "sin(x)e^x" 1 7
```
Expands `sin(x)e^x` at `x = 1` using `7` terms.
```sh
node . "cos(4x)" 0 4
```
Expands `cos(4x)` at `x = 0` using `4` terms.
## **Example Output**
```sh
sin(x) around 0 with 5 non-zero terms (10 max terms)
sin(x) ≈ x^1 - 1/6x^3 + 1/120x^5 - 0.000198x^7 + 0.000003x^9
```
## **How It Works**
1. **Computes derivatives** of the function using `math.derivative()`.
2. **Evaluates** each derivative at `x = a`.
3. **Divides by factorial** to compute the Taylor coefficient.
4. **Formats terms** using `formatTerm()` to maintain readability.
5. **Colors the output** using `chalk` for better visualization.
6. **Adjusts line width** dynamically based on `process.stdout.columns`.
## **Dependencies**
- **[mathjs](https://www.npmjs.com/package/mathjs)** → For symbolic differentiation and evaluation.
- **[chalk](https://www.npmjs.com/package/chalk)** → For color-coded terminal output.
## **License**
This project is **open-source** under the MIT License.
## **Contributing**
Feel free to fork and improve the project! 🚀
If you find a bug or have a feature request, **open an issue**.