linear_algebra.src.polynom_for_points

Functions

points_to_polynomial(→ str)

coordinates is a two dimensional matrix: [[x, y], [x, y], ...]

Module Contents

linear_algebra.src.polynom_for_points.points_to_polynomial(coordinates: list[list[int]]) → str

coordinates is a two dimensional matrix: [[x, y], [x, y], …] number of points you want to use

>>> points_to_polynomial([])
Traceback (most recent call last):
    ...
ValueError: The program cannot work out a fitting polynomial.
>>> points_to_polynomial([[]])
Traceback (most recent call last):
    ...
ValueError: The program cannot work out a fitting polynomial.
>>> points_to_polynomial([[1, 0], [2, 0], [3, 0]])
'f(x)=x^2*0.0+x^1*-0.0+x^0*0.0'
>>> points_to_polynomial([[1, 1], [2, 1], [3, 1]])
'f(x)=x^2*0.0+x^1*-0.0+x^0*1.0'
>>> points_to_polynomial([[1, 3], [2, 3], [3, 3]])
'f(x)=x^2*0.0+x^1*-0.0+x^0*3.0'
>>> points_to_polynomial([[1, 1], [2, 2], [3, 3]])
'f(x)=x^2*0.0+x^1*1.0+x^0*0.0'
>>> points_to_polynomial([[1, 1], [2, 4], [3, 9]])
'f(x)=x^2*1.0+x^1*-0.0+x^0*0.0'
>>> points_to_polynomial([[1, 3], [2, 6], [3, 11]])
'f(x)=x^2*1.0+x^1*-0.0+x^0*2.0'
>>> points_to_polynomial([[1, -3], [2, -6], [3, -11]])
'f(x)=x^2*-1.0+x^1*-0.0+x^0*-2.0'
>>> points_to_polynomial([[1, 5], [2, 2], [3, 9]])
'f(x)=x^2*5.0+x^1*-18.0+x^0*18.0'
>>> points_to_polynomial([[1, 1], [1, 2], [1, 3]])
'x=1'
>>> points_to_polynomial([[1, 1], [2, 2], [2, 2]])
Traceback (most recent call last):
    ...
ValueError: The program cannot work out a fitting polynomial.