diff --git a/linear_algebra/src/polynom_for_points.py b/linear_algebra/src/polynom_for_points.py index a9a9a8117..452f3edd4 100644 --- a/linear_algebra/src/polynom_for_points.py +++ b/linear_algebra/src/polynom_for_points.py @@ -3,30 +3,36 @@ def 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 - >>> print(points_to_polynomial([])) + >>> points_to_polynomial([]) Traceback (most recent call last): ... ValueError: The program cannot work out a fitting polynomial. - >>> print(points_to_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. - >>> print(points_to_polynomial([[1, 0], [2, 0], [3, 0]])) - f(x)=x^2*0.0+x^1*-0.0+x^0*0.0 - >>> print(points_to_polynomial([[1, 1], [2, 1], [3, 1]])) - f(x)=x^2*0.0+x^1*-0.0+x^0*1.0 - >>> print(points_to_polynomial([[1, 3], [2, 3], [3, 3]])) - f(x)=x^2*0.0+x^1*-0.0+x^0*3.0 - >>> print(points_to_polynomial([[1, 1], [2, 2], [3, 3]])) - f(x)=x^2*0.0+x^1*1.0+x^0*0.0 - >>> print(points_to_polynomial([[1, 1], [2, 4], [3, 9]])) - f(x)=x^2*1.0+x^1*-0.0+x^0*0.0 - >>> print(points_to_polynomial([[1, 3], [2, 6], [3, 11]])) - f(x)=x^2*1.0+x^1*-0.0+x^0*2.0 - >>> print(points_to_polynomial([[1, -3], [2, -6], [3, -11]])) - f(x)=x^2*-1.0+x^1*-0.0+x^0*-2.0 - >>> print(points_to_polynomial([[1, 5], [2, 2], [3, 9]])) - f(x)=x^2*5.0+x^1*-18.0+x^0*18.0 """ if len(coordinates) == 0 or not all(len(pair) == 2 for pair in coordinates): raise ValueError("The program cannot work out a fitting polynomial.")