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Added type hints and changed to descriptive names

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This commit is contained in:
Pablito 2024-12-04 14:37:20 +01:00
parent a3a71d2ef1
commit 02f7cfac25
1 changed files with 14 additions and 22 deletions
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36
maths/polynomials/legendre.py
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@ -6,7 +6,7 @@ import pytest
from numpy.polynomial import Polynomial
def legendre(n: int) -> list[float]:
def compute_legendre_polynomial_coefficients(n: int) -> [float]:
"""
Compute the coefficients of the nth Legendre polynomial.
@ -19,42 +19,34 @@ def legendre(n: int) -> list[float]:
Returns:
list[float]: Coefficients of the polynomial in ascending order of powers.
"""
p = (1 / (factorial(n) * (2**n))) * (Polynomial([-1, 0, 1]) ** n)
return p.deriv(n).coef.tolist()
legendre_polynomial = (1 / (factorial(n) * (2**n))) * (Polynomial([-1, 0, 1]) ** n)
return legendre_polynomial.deriv(n).coef.tolist()
def test_legendre_0():
def test_legendre_polynomial_degree_0() -> None:
"""Test the 0th Legendre polynomial."""
assert legendre(0) == [1.0], "The 0th Legendre polynomial should be [1.0]"
assert compute_legendre_polynomial_coefficients(0) == [1.0], "The 0th Legendre polynomial should be [1.0]"
def test_legendre_1():
def test_legendre_polynomial_degree_1() -> None:
"""Test the 1st Legendre polynomial."""
assert legendre(1) == [0.0, 1.0], "The 1st Legendre polynomial should be [0.0, 1.0]"
assert compute_legendre_polynomial_coefficients(1) == [0.0, 1.0], "The 1st Legendre polynomial should be [0.0, 1.0]"
def test_legendre_2():
def test_legendre_polynomial_degree_2() -> None:
"""Test the 2nd Legendre polynomial."""
assert legendre(2) == [
-0.5,
0.0,
1.5,
], "The 2nd Legendre polynomial should be [-0.5, 0.0, 1.5]"
assert compute_legendre_polynomial_coefficients(2) == [-0.5, 0.0, 1.5],
"The 2nd Legendre polynomial should be [-0.5, 0.0, 1.5]"
def test_legendre_3():
def test_legendre_polynomial_degree_3() -> None:
"""Test the 3rd Legendre polynomial."""
assert legendre(3) == [
0.0,
-1.5,
0.0,
2.5,
], "The 3rd Legendre polynomial should be [0.0, -1.5, 0.0, 2.5]"
assert compute_legendre_polynomial_coefficients(3) == [0.0, -1.5, 0.0, 2.5], "The 3rd Legendre polynomial should be [0.0, -1.5, 0.0, 2.5]"
def test_legendre_4():
def test_legendre_polynomial_degree_4() -> None:
"""Test the 4th Legendre polynomial."""
assert legendre(4) == pytest.approx([0.375, 0.0, -3.75, 0.0, 4.375])
assert compute_legendre_polynomial_coefficients(4) == pytest.approx([0.375, 0.0, -3.75, 0.0, 4.375])
"The 4th Legendre polynomial should be [0.375, 0.0, -3.75, 0.0, 4.375]"