RocketPy/tests/unit/mathutils/test_tools_vector.py at d6c664c20ebc36197052e72d587b63b3940cee56 · RocketPy-Team/RocketPy · GitHub

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import numpy as np
import pytest

from rocketpy import Function
from rocketpy.mathutils import Vector

test_vector_1 = [1, 2, 3]
test_vector_2 = [-np.pi, 1, np.e]
test_vector_3 = [3 * 1j, -2j, 0j]
test_vectors = [test_vector_1, test_vector_2, test_vector_3]


@pytest.mark.parametrize("vector_components", test_vectors)
def test_vector_constructor(vector_components):
    vector = Vector(vector_components)
    assert vector.components == vector_components


@pytest.mark.parametrize("vector_components", test_vectors)
def test_vector_get_item(vector_components):
    vector = Vector(vector_components)
    for i in range(3):
        assert vector[i] == vector_components[i]


@pytest.mark.parametrize("vector_components", test_vectors)
def test_vector_iter(vector_components):
    vector = Vector(vector_components)
    for i, j in zip(vector, vector_components):
        assert i == j


@pytest.mark.parametrize("vector_components", test_vectors)
def test_vector_call(vector_components):
    f = Function(lambda x: x**2)
    vector = Vector(vector_components)
    callable_vector = vector * f
    assert callable_vector(1) == vector
    assert callable_vector(2) == 4 * vector


@pytest.mark.parametrize("vector_components", test_vectors)
def test_vector_len(vector_components):
    vector = Vector(vector_components)
    assert len(vector) == 3


@pytest.mark.parametrize("vector_components", test_vectors)
def test_vector_unit_vector(vector_components):
    vector = Vector(vector_components)
    unit_vector = vector.unit_vector
    assert pytest.approx(abs(unit_vector)) == 1
    assert unit_vector.is_parallel_to(vector)


@pytest.mark.parametrize("vector_components", test_vectors)
def test_vector_cross_matrix(vector_components):
    vector = Vector(vector_components)
    cross_matrix = vector.cross_matrix
    assert cross_matrix.transpose == -cross_matrix
    assert cross_matrix.trace == 0
    assert cross_matrix @ vector == Vector.zeros()
    assert cross_matrix @ Vector.i() == vector ^ Vector.i()
    assert cross_matrix @ Vector.j() == vector ^ Vector.j()
    assert cross_matrix @ Vector.k() == vector ^ Vector.k()


@pytest.mark.parametrize("vector_components", test_vectors)
def test_vector_abs(vector_components):
    vector = Vector(vector_components)
    vector_magnitude = abs(vector)
    assert vector_magnitude == sum(i**2 for i in vector_components) ** 0.5


@pytest.mark.parametrize("vector_components", test_vectors)
def test_vector_neg(vector_components):
    vector = Vector(vector_components)
    neg_vector = Vector([-i for i in vector_components])
    assert neg_vector == -vector


@pytest.mark.parametrize("u_c", test_vectors)
@pytest.mark.parametrize("v_c", test_vectors)
def test_vector_add(u_c, v_c):
    u, v = Vector(u_c), Vector(v_c)
    result = u + v
    assert result == Vector([i + j for i, j in zip(u_c, v_c)])


@pytest.mark.parametrize("u_c", test_vectors)
@pytest.mark.parametrize("v_c", test_vectors)
def test_vector_sub(u_c, v_c):
    u, v = Vector(u_c), Vector(v_c)
    result = u - v
    assert result == Vector([i - j for i, j in zip(u_c, v_c)])


@pytest.mark.parametrize("k", [-1, 0, 1, np.pi, -1, 1])
@pytest.mark.parametrize("u_c", test_vectors)
def test_vector_mul(k, u_c):
    u = Vector(u_c)
    result = u * k
    assert result == Vector([k * i for i in u_c])


@pytest.mark.parametrize("k", [-1, 0, 1, np.pi, -1, 1])
@pytest.mark.parametrize("u_c", test_vectors)
def test_vector_rmul(k, u_c):
    u = Vector(u_c)
    result = k * u
    assert result == Vector([k * i for i in u_c])


@pytest.mark.parametrize("k", [-1, 1, np.pi, -1, 1])
@pytest.mark.parametrize("u_c", test_vectors)
def test_vector_truediv(k, u_c):
    u = Vector(u_c)
    result = u / k
    assert result == Vector([i / k for i in u_c])


@pytest.mark.parametrize("u_c", test_vectors)
@pytest.mark.parametrize("v_c", test_vectors)
def test_vector_xor(u_c, v_c):
    u, v = Vector(u_c), Vector(v_c)
    result = u ^ v
    assert result == np.cross(u_c, v_c)


@pytest.mark.parametrize("u_c", test_vectors)
@pytest.mark.parametrize("v_c", test_vectors)
def test_vector_matmul(u_c, v_c):
    u, v = Vector(u_c), Vector(v_c)
    result = u @ v
    assert result == np.dot(u_c, v_c)


@pytest.mark.parametrize("vector_components", test_vectors)
def test_vector_eq(vector_components):
    u, v = Vector(vector_components), Vector(vector_components)
    assert u == vector_components
    assert u == v
    assert (u == 2 * v) is False


@pytest.mark.parametrize("vector_components", test_vectors)
def test_vector_is_parallel_to(vector_components):
    u = Vector(vector_components)
    v = 2 * Vector(vector_components)
    w = u - Vector.i()
    assert u.is_parallel_to(v) is True
    assert u.is_parallel_to(w) is False


@pytest.mark.parametrize("vector_components", test_vectors)
def test_vector_is_orthogonal_to(vector_components):
    u = Vector(vector_components)
    v = u - Vector.i()
    projection = u.proj(v)
    projection_vector = projection * v.unit_vector
    w = u - projection_vector
    assert u.is_orthogonal_to(2 * u) is False
    assert w.is_orthogonal_to(v) is True


@pytest.mark.parametrize("operation", [lambda i: i**2, lambda i: 1 / i])
@pytest.mark.parametrize("u_c", [[1, 2, 3], [-np.pi, 1, np.e], [3 * 1j, -2j, 1j]])
def test_vector_element_wise(u_c, operation):
    u = Vector(u_c)
    vector = u.element_wise(operation)
    assert vector == Vector([operation(u[i]) for i in range(3)])


@pytest.mark.parametrize("u_c", test_vectors)
@pytest.mark.parametrize("v_c", test_vectors)
def test_vector_dot(u_c, v_c):
    u, v = Vector(u_c), Vector(v_c)
    result = u.dot(v)
    assert result == np.dot(u_c, v_c)


@pytest.mark.parametrize("u_c", test_vectors)
@pytest.mark.parametrize("v_c", test_vectors)
def test_vector_cross(u_c, v_c):
    u, v = Vector(u_c), Vector(v_c)
    result = u.cross(v)
    assert result == np.cross(u_c, v_c)


@pytest.mark.parametrize("u_c", test_vectors)
@pytest.mark.parametrize("v_c", test_vectors)
def test_vector_proj(u_c, v_c):
    u, v = Vector(u_c), Vector(v_c)
    projection = u.proj(v)
    projection_vector = projection * v.unit_vector
    assert v.is_orthogonal_to(u - projection_vector)


@pytest.mark.parametrize("vector_components", test_vectors)
def test_vector_str(vector_components):
    vector = Vector(vector_components)
    # pylint: disable=eval-used
    assert eval("Vector(" + str(vector) + ")") == vector


@pytest.mark.parametrize("vector_components", test_vectors)
def test_vector_repr(vector_components):
    vector = Vector(vector_components)
    # pylint: disable=eval-used
    assert eval(repr(vector).replace("(", "((").replace(")", "))")) == vector


def test_vector_zeros():
    assert Vector.zeros() == [0, 0, 0]


def test_vector_i():
    assert Vector.i() == [1, 0, 0]


def test_vector_j():
    assert Vector.j() == [0, 1, 0]


def test_vector_k():
    assert Vector.k() == [0, 0, 1]


test_vector_1 = [1, 2, 3]
test_vector_2 = [-np.pi, 1, np.e]
test_vector_3 = [3 * 1j, -2j, 0j]
test_vectors = [test_vector_1, test_vector_2, test_vector_3]


@pytest.mark.parametrize("vector_components", test_vectors)
def test_vector_x_y_z(vector_components):
    vector = Vector(vector_components)
    assert vector.x == vector_components[0]
    assert vector.y == vector_components[1]
    assert vector.z == vector_components[2]