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https://github.com/yalishanda42/py-polynomial

A python package attempting to fully implement single-variable polynomials and methods related to them.
https://github.com/yalishanda42/py-polynomial

algebra derivatives hacktoberfest numpy package pip3 polynomials pypi pypi-package python scipy

Last synced: 2 months ago
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A python package attempting to fully implement single-variable polynomials and methods related to them.

Host: GitHub
URL: https://github.com/yalishanda42/py-polynomial
Owner: yalishanda42
License: mit
Created: 2018-06-21T21:07:39.000Z (over 6 years ago)
Default Branch: master
Last Pushed: 2023-08-30T09:59:33.000Z (over 1 year ago)
Last Synced: 2024-10-12T00:21:57.191Z (3 months ago)
Topics: algebra, derivatives, hacktoberfest, numpy, package, pip3, polynomials, pypi, pypi-package, python, scipy
Language: Python
Homepage: https://pypi.org/project/py-polynomial
Size: 709 KB
Stars: 15
Watchers: 3
Forks: 7
Open Issues: 6
Metadata Files:
- Readme: README.md
- Funding: .github/FUNDING.yml
- License: LICENSE.txt

Awesome Lists containing this project

README

        # Python package defining single-variable polynomials and operations with them

[![PyPI version](https://badge.fury.io/py/py-polynomial.svg)](https://badge.fury.io/py/py-polynomial)

[![Downloads](https://static.pepy.tech/personalized-badge/py-polynomial?period=total&units=none&left_color=grey&right_color=brightgreen&left_text=Downloads)](https://pepy.tech/project/py-polynomial)

[![PyPI pyversions](https://img.shields.io/pypi/pyversions/py-polynomial.svg)](https://pypi.python.org/pypi/py-polynomial/)

[![PyPI license](https://img.shields.io/pypi/l/py-polynomial.svg)](https://pypi.python.org/pypi/py-polynomial/)

![Unit Tests](https://github.com/yalishanda42/py-polynomial/workflows/Unit%20Tests/badge.svg)

![Code Documentation Style](https://github.com/yalishanda42/py-polynomial/workflows/Code%20Documentation%20Style/badge.svg)

[![CodeFactor](https://www.codefactor.io/repository/github/yalishanda42/py-polynomial/badge)](https://www.codefactor.io/repository/github/allexks/py-polynomial)

[![codecov](https://codecov.io/gh/allexks/py-polynomial/branch/master/graph/badge.svg)](https://codecov.io/gh/allexks/py-polynomial)

## Installation

`pip install py-polynomial`

## Documentation

[Click here for code-derived documentation and help](https://yalishanda42.github.io/py-polynomial/)

## Quick examples

### Flexible initialization

``` pycon

>>> from polynomial import Polynomial

>>> a = Polynomial(1, 2, 3, 4)

>>> str(a)

x^3 + 2x^2 + 3x + 4

>>> b = Polynomial([4 - x for x in range(4)])

>>> str(b)

4x^3 + 3x^2 + 2x + 1

```

### First derivative

``` pycon

>>> b.derivative

Polynomial(12, 6, 2)

>>> str(b.derivative)

12x^2 + 6x + 2

```

### Second or higher derivative

``` pycon

>>> str(b.nth_derivative(2))

24x + 6

```

### Addition

``` pycon

>>> str(a + b)

5x^3 + 5x^2 + 5x + 5

```

### Calculating value for a given x

``` pycon

>>> (a + b).calculate(5)

780

>>> а(2)  #  equivalent to a.calculate(2)

26

```

### Multiplication

``` pycon

>>> p = Polynomial(1, 2) * Polynomial(1, 2)

>>> p

Polynomial(1, 4, 4)

```

### Accessing coefficient by degree

``` pycon

>>> p[0] = -4

>>> p

Polynomial(1, 4, -4)

```

### Slicing

``` pycon

>>> p[1:] = [4, -1]

>>> p

Polynomial(-1, 4, -4)

```

### Accessing coefficients by name convention

``` pycon

>>> (p.a, p.b, p.c)

(-1, 4, -4)

>>> p.a, p.c = 1, 4

>>> (p.A, p.B, p.C)

(1, 4, 4)

```

### Division and remainder

``` pycon

>>> q, remainder = divmod(p, Polynomial(1, 2))

>>> q

Polynomial(1.0, 2.0)

>>> remainder

Polynomial()

>>> p // Polynomial(1, 2)

Polynomial(1.0, 2.0)

>>> P(1, 2, 3) % Polynomial(1, 2)

Polynomial(3)

```

### Check whether it contains given terms

``` pycon

>>> Polynomial(2, 1) in Polynomial(4, 3, 2, 1)

True

```

### Definite integral

```pycon

>>> Polynomial(3, 2, 1).integral(0, 1)

3

```

### Misc

``` pycon

>>> str(Polynomial("abc"))

ax^2 + bx + c

```

### Roots and discriminants

``` pycon

>>> from polynomial import QuadraticTrinomial, Monomial

>>> y = QuadraticTrinomial(1, -2, 1)

>>> str(y)

x^2 - 2x + 1

>>> y.discriminant

0

>>> y.real_roots

(1, 1)

>>> y.real_factors

(1, Polynomial(1, -1), Polynomial(1, -1))

>>> str(Monomial(5, 3))

5x^3

>>> y += Monomial(9, 2)

>>> y

Polynomial(10, -2, 1)

>>> str(y)

10x^2 - 2x + 1

>>> (y.a, y.b, y.c)

(10, -2, 1)

>>> (y.A, y.B, y.C)

(10, -2, 1)

>>> y.complex_roots

((0.1 + 0.3j), (0.1 - 0.3j))

```