Python/data_structures/kd_tree/tests/test_kdtree.py
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Python

# Created by: Ramy-Badr-Ahmed (https://github.com/Ramy-Badr-Ahmed)
# in Pull Request: #11532
# https://github.com/TheAlgorithms/Python/pull/11532
#
# Please mention me (@Ramy-Badr-Ahmed) in any issue or pull request
# addressing bugs/corrections to this file.
# Thank you!
import numpy as np
import pytest
from data_structures.kd_tree.build_kdtree import build_kdtree
from data_structures.kd_tree.example.hypercube_points import hypercube_points
from data_structures.kd_tree.kd_node import KDNode
from data_structures.kd_tree.nearest_neighbour_search import nearest_neighbour_search
@pytest.mark.parametrize(
("num_points", "cube_size", "num_dimensions", "depth", "expected_result"),
[
(0, 10.0, 2, 0, None), # Empty points list
(10, 10.0, 2, 2, KDNode), # Depth = 2, 2D points
(10, 10.0, 3, -2, KDNode), # Depth = -2, 3D points
],
)
def test_build_kdtree(num_points, cube_size, num_dimensions, depth, expected_result):
"""
Test that KD-Tree is built correctly.
Cases:
- Empty points list.
- Positive depth value.
- Negative depth value.
"""
points = (
hypercube_points(num_points, cube_size, num_dimensions).tolist()
if num_points > 0
else []
)
kdtree = build_kdtree(points, depth=depth)
if expected_result is None:
# Empty points list case
assert kdtree is None, f"Expected None for empty points list, got {kdtree}"
else:
# Check if root node is not None
assert kdtree is not None, "Expected a KDNode, got None"
# Check if root has correct dimensions
assert len(kdtree.point) == num_dimensions, (
f"Expected point dimension {num_dimensions}, got {len(kdtree.point)}"
)
# Check that the tree is balanced to some extent (simplistic check)
assert isinstance(kdtree, KDNode), (
f"Expected KDNode instance, got {type(kdtree)}"
)
def test_nearest_neighbour_search():
"""
Test the nearest neighbor search function.
"""
num_points = 10
cube_size = 10.0
num_dimensions = 2
points = hypercube_points(num_points, cube_size, num_dimensions)
kdtree = build_kdtree(points.tolist())
rng = np.random.default_rng()
query_point = rng.random(num_dimensions).tolist()
nearest_point, nearest_dist, nodes_visited = nearest_neighbour_search(
kdtree, query_point
)
# Check that nearest point is not None
assert nearest_point is not None
# Check that distance is a non-negative number
assert nearest_dist >= 0
# Check that nodes visited is a non-negative integer
assert nodes_visited >= 0
def test_edge_cases():
"""
Test edge cases such as an empty KD-Tree.
"""
empty_kdtree = build_kdtree([])
query_point = [0.0] * 2 # Using a default 2D query point
nearest_point, nearest_dist, nodes_visited = nearest_neighbour_search(
empty_kdtree, query_point
)
# With an empty KD-Tree, nearest_point should be None
assert nearest_point is None
assert nearest_dist == float("inf")
assert nodes_visited == 0
if __name__ == "__main__":
import pytest
pytest.main()