Pollypocket

Description

Pollypocket is a Python library for calculate and solve lagrange interpolation polynomials.

Dependencies

• Sympy: A Python library for symbolic mathematics.

Installation and Usage

Install the library using the terminal:

pip install pollypocket

Then, import it in your python project:

import pollypocket as pyp

Lagrange Polynomial Interpolation

Parameters

• points: A list of tuples, where each tuple contains a point in the form $(x_i, y_i).

>>> import pollypocket as pyp
>>> points = [[1, 3], [2, 1], [3, 5]]
>>> lagrange_polynomial = pyp.lagrange_polynomial(points)
>>> print(lagrange_polynomial)
3*x**2 - 11*x + 11

Evaluate Polynomial

Parameters

• expression: The polynomial expression in string format. This is created using the lagrange_interpolation function.
• x: The value at which the polynomial is to be evaluated.

>>> import pollypocket as pyp
>>> points = [[1, 3], [2, 1], [3, 5]]
>>> lagrange_polynomial = pyp.lagrange_polynomial(points)
>>> value = pyp.evaluate_polynomial(lagrange_polynomial, 2)
>>> print(value)
1.0

How to contribute

Feel free to contribute to this project by forking the repository and creating a pull request. You can also create an issue if you find any bugs or want to suggest a new feature 😄.