https://github.com/maksimzayats/approximation

Approximation of points by a polynomial of arbitrary power
https://github.com/maksimzayats/approximation

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Approximation of points by a polynomial of arbitrary power

• Host: GitHub
• URL: https://github.com/maksimzayats/approximation
• Owner: MaksimZayats
• Created: 2020-11-18T21:25:42.000Z (about 4 years ago)
• Default Branch: main
• Last Pushed: 2020-11-18T22:24:53.000Z (about 4 years ago)
• Last Synced: 2023-12-05T07:23:16.948Z (about 1 year ago)
• Language: Python
• Size: 5.86 KB
• Stars: 2
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# approximation

Approximation of points by a polynomial of arbitrary power

# Usage

## Main functions:

1. `approximate`

    * #### Arguments:

        1. `x: list` — coordinates of points on the x-axis

        2. `y: list` — coordinates of points on the x-axis

        3. `p: int` — power of the polynomial

    * #### Returns:

        1. `polynomial_coefficients: list` 


        The obtained coefficients are from the smallest to the largest power.


        Example:


            If you get these coefficients:

            `[2.0, 3.0, 4.0]`


            This means that the polynom will look like this:  

            `2x^0 + 3x^1 + 4x^2`


    * #### Notes:

        1. `len(x) == len(y)` must be True.


            Else you will get an error!

2. `create_polynom`

    * #### Argument:

        1. `polynomial_coefficients: list` coefficients of the polynom. 


        *Obtained from the `approximate`*

    * #### Returns:

        1. A polynom.


        Example: `4x^2 + 3x^1 + 2`

#### Code Example:

```python

from approximation import create_polynom, approximate

if __name__ == "__main__":

    print("Some example cases:")

    x = [1, 2, 3]

    y = [2, 5, 10]

    p = 2

    print(f"\nCase 1:\nx = {x},\ny = {y},\np = {p}\nPolynom: {create_polynom( approximate(x, y, p) )}")

    x = [-2, -1, 0, 1, 2]

    y = [0, 5, 0, 10, 4]

    p = 4

    print(f"\nCase 2:\nx = {x},\ny = {y},\np = {p}\nPolynom: {create_polynom( approximate(x, y, p) )}")

    x = [-3, -2, -1, 0, 1, 2]

    y = [-10, 0, 5, 0, 10, 4]

    p = 5

    print(f"\nCase 3:\nx = {x},\ny = {y},\np = {p}\nPolynom: {create_polynom( approximate(x, y, p) )}")

```