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3eedfa7 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 | from __future__ import annotations
import numpy as np
import pytest
from manim.utils.space_ops import *
from manim.utils.space_ops import shoelace
def test_rotate_vector():
vec = np.array([0, 1, 0])
rotated = rotate_vector(vec, np.pi / 2)
assert np.round(rotated[0], 5) == -1.0
assert not np.round(rotated[1:], 5).any()
np.testing.assert_array_equal(rotate_vector(np.zeros(3), np.pi / 4), np.zeros(3))
def test_rotation_matrices():
ang = np.pi / 6
ax = np.array([1, 1, 1])
np.testing.assert_array_equal(
np.round(rotation_matrix(ang, ax, True), 5),
np.round(
np.array(
[
[0.91068, -0.24402, 0.33333, 0.0],
[0.33333, 0.91068, -0.24402, 0.0],
[-0.24402, 0.33333, 0.91068, 0.0],
[0.0, 0.0, 0.0, 1.0],
]
),
5,
),
)
np.testing.assert_array_equal(
np.round(rotation_about_z(np.pi / 3), 5),
np.array(
[
[0.5, -0.86603, 0.0],
[0.86603, 0.5, 0.0],
[0.0, 0.0, 1.0],
]
),
)
np.testing.assert_array_equal(
np.round(z_to_vector(np.array([1, 2, 3])), 5),
np.array(
[
[0.96362, 0.0, 0.26726],
[-0.14825, 0.83205, 0.53452],
[-0.22237, -0.5547, 0.80178],
]
),
)
def test_angle_of_vector():
assert angle_of_vector(np.array([1, 1, 1])) == np.pi / 4
assert (
np.round(angle_between_vectors(np.array([1, 1, 1]), np.array([-1, 1, 1])), 5)
== 1.23096
)
np.testing.assert_equal(angle_of_vector(np.zeros(3)), 0.0)
def test_angle_of_vector_vectorized():
rng = np.random.default_rng()
vec = rng.standard_normal((4, 10))
ref = [np.angle(complex(*v[:2])) for v in vec.T]
np.testing.assert_array_equal(ref, angle_of_vector(vec))
def test_center_of_mass():
np.testing.assert_array_equal(
center_of_mass([[0, 0, 0], [1, 2, 3]]), np.array([0.5, 1.0, 1.5])
)
def test_line_intersection():
np.testing.assert_array_equal(
line_intersection(
[[0, 0, 0], [3, 3, 0]],
[[0, 3, 0], [3, 0, 0]],
),
np.array([1.5, 1.5, 0.0]),
)
with pytest.raises(ValueError):
line_intersection( # parallel lines
[[0, 1, 0], [5, 1, 0]],
[[0, 6, 0], [5, 6, 0]],
)
with pytest.raises(ValueError):
line_intersection( # lines not in xy-plane
[[0, 0, 3], [3, 3, 3]],
[[0, 3, 3], [3, 0, 3]],
)
with pytest.raises(ValueError):
line_intersection( # lines are equal
[[2, 2, 0], [3, 1, 0]],
[[2, 2, 0], [3, 1, 0]],
)
np.testing.assert_array_equal(
line_intersection( # lines with ends out of bounds
[[0, 0, 0], [1, 1, 0]],
[[0, 4, 0], [1, 3, 0]],
),
np.array([2, 2, 0]),
)
def test_shoelace():
assert shoelace(np.array([[1, 2], [3, 4]])) == 6
def test_polar_coords():
a = np.array([1, 1, 0])
b = (2, np.pi / 2, np.pi / 2)
np.testing.assert_array_equal(
np.round(cartesian_to_spherical(a), 4),
np.round([2**0.5, np.pi / 4, np.pi / 2], 4),
)
np.testing.assert_array_equal(
np.round(spherical_to_cartesian(b), 4), np.array([0, 2, 0])
)
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