diff --git a/examples/cython/test.py b/examples/cython/test.py new file mode 100644 index 0000000..aba5508 --- /dev/null +++ b/examples/cython/test.py @@ -0,0 +1,185 @@ +import openGJK_cython as opengjk +from scipy.spatial.transform import Rotation as R +import numpy as np +import pytest +#from IPython import embed + +def settol(): + return 1e-12 + +def distance_point_to_line_3D(P1, P2, point): + """ + distance from point to line + """ + return np.linalg.norm(np.cross(P2-P1, P1-point))/np.linalg.norm(P2-P1) + + +def distance_point_to_plane_3D(P1, P2, P3, point): + """ + Distance from point to plane + """ + return np.abs(np.dot(np.cross(P2-P1, P3-P1) / + np.linalg.norm(np.cross(P2-P1, P3-P1)), point-P2)) + + +@pytest.mark.parametrize("delta", [0.1, 1e-12, 0, -2]) +def test_line_point_distance(delta): + line = np.array([[0.1, 0.2, 0.3], [0.5, 0.8, 0.7]], dtype=np.float64) + point_on_line = line[0] + 0.27*(line[1]-line[0]) + normal = np.cross(line[0], line[1]) + point = point_on_line + delta * normal + distance = opengjk.pygjk(line, point) + actual_distance = distance_point_to_line_3D( + line[0], line[1], point) + print(distance, actual_distance) + assert(np.isclose(distance, actual_distance, atol=settol() )) + + +@pytest.mark.parametrize("delta", [0.1, 1e-12, 0]) +def test_line_line_distance(delta): + line = np.array([[-0.5, -0.7, -0.3], [1, 2, 3]], dtype=np.float64) + point_on_line = line[0] + 0.38*(line[1]-line[0]) + normal = np.cross(line[0], line[1]) + point = point_on_line + delta * normal + line_2 = np.array([point, [2, 5, 6]], dtype=np.float64) + distance = opengjk.pygjk(line, line_2) + actual_distance = distance_point_to_line_3D( + line[0], line[1], line_2[0]) + print(distance, actual_distance) + assert(np.isclose(distance, actual_distance, atol=settol() )) + + +@pytest.mark.parametrize("delta", [0.1**(3*i) for i in range(6)]) +def test_tri_distance(delta): + tri_1 = np.array([[0, 0, 0], [1, 0, 0], [0, 1, 0]], dtype=np.float64) + tri_2 = np.array([[1, delta, 0], [3, 1.2, 0], [ + 1, 1, 0]], dtype=np.float64) + P1 = tri_1[2] + P2 = tri_1[1] + point = tri_2[0] + actual_distance = distance_point_to_line_3D(P1, P2, point) + distance = opengjk.pygjk(tri_1, tri_2) + print("Computed distance ", distance, "Actual distance ", actual_distance) + + #embed() + assert(np.isclose(distance, actual_distance, atol=settol() )) + + +@pytest.mark.parametrize("delta", [0.1*0.1**(3*i) for i in range(6)]) +def test_quad_distance2d(delta): + quad_1 = np.array([[0, 0, 0], [1, 0, 0], [0, 1, 0], + [1, 1, 0]], dtype=np.float64) + quad_2 = np.array([[0, 1+delta, 0], [2, 2, 0], + [2, 4, 0], [4, 4, 0]], dtype=np.float64) + P1 = quad_1[2] + P2 = quad_1[3] + point = quad_2[0] + actual_distance = distance_point_to_line_3D(P1, P2, point) + distance = opengjk.pygjk(quad_1, quad_2) + print("Computed distance ", distance, "Actual distance ", actual_distance) + + assert(np.isclose(distance, actual_distance, atol=settol() )) + + +@pytest.mark.parametrize("delta", [1*0.5**(3*i) for i in range(7)]) +def test_tetra_distance_3d(delta): + tetra_1 = np.array([[0, 0, 0.2], [1, 0, 0.1], [0, 1, 0.3], + [0, 0, 1]], dtype=np.float64) + tetra_2 = np.array([[0, 0, -3], [1, 0, -3], [0, 1, -3], + [0.5, 0.3, -delta]], dtype=np.float64) + actual_distance = distance_point_to_plane_3D(tetra_1[0], tetra_1[1], + tetra_1[2], tetra_2[3]) + distance = opengjk.pygjk(tetra_1, tetra_2) + print("Computed distance ", distance, "Actual distance ", actual_distance) + + assert(np.isclose(distance, actual_distance, atol=settol() )) + + +@pytest.mark.parametrize("delta", [(-1)**i*np.sqrt(2)*0.1**(3*i) + for i in range(6)]) +def test_tetra_collision_3d(delta): + tetra_1 = np.array([[0, 0, 0], [1, 0, 0], [0, 1, 0], + [0, 0, 1]], dtype=np.float64) + tetra_2 = np.array([[0, 0, -3], [1, 0, -3], [0, 1, -3], + [0.5, 0.3, -delta]], dtype=np.float64) + actual_distance = distance_point_to_plane_3D(tetra_1[0], tetra_1[1], + tetra_1[2], tetra_2[3]) + distance = opengjk.pygjk(tetra_1, tetra_2) + + if delta < 0: + assert(np.isclose(distance, 0, atol=settol())) + else: + print("Computed distance ", distance, + "Actual distance ", actual_distance) + assert(np.isclose(distance, actual_distance, atol=settol())) + + +@pytest.mark.parametrize("delta", [0, -0.1, -0.49, -0.51]) +def test_hex_collision_3d(delta): + hex_1 = np.array([[0, 0, 0], [1, 0, 0], [0, 1, 0], [1, 1, 0], + [0, 0, 1], [1, 0, 1], [0, 1, 1], [1, 1, 1]], + dtype=np.float64) + P0 = np.array([1.5+delta, 1.5+delta, 0.5], dtype=np.float64) + P1 = np.array([2, 2, 1], dtype=np.float64) + P2 = np.array([2, 1.25, 0.25], dtype=np.float64) + P3 = P1 + P2 - P0 + quad_1 = np.array([P0, P1, P2, P3], dtype=np.float64) + n = (np.cross(quad_1[1]-quad_1[0], quad_1[2]-quad_1[0]) / + np.linalg.norm( + np.cross(quad_1[1]-quad_1[0], + quad_1[2]-quad_1[0]))) + quad_2 = quad_1 + n + hex_2 = np.zeros((8, 3), dtype=np.float64) + hex_2[:4, :] = quad_1 + hex_2[4:, :] = quad_2 + actual_distance = np.linalg.norm( + np.array([1, 1, P0[2]], dtype=np.float64)-hex_2[0]) + distance = opengjk.pygjk(hex_1, hex_2) + + if P0[0] < 1: + assert(np.isclose(distance, 0, atol=settol())) + else: + print("Computed distance ", distance, + "Actual distance ", actual_distance) + assert(np.isclose(distance, actual_distance, atol=settol())) + + +@pytest.mark.parametrize("c0", [0, 1, 2, 3]) +@pytest.mark.parametrize("c1", [0, 1, 2, 3]) +def test_cube_distance(c0, c1): + cubes = [np.array([[-1, -1, -1], [1, -1, -1], [-1, 1, -1], [1, 1, -1], + [-1, -1, 1], [1, -1, 1], [-1, 1, 1], [1, 1, 1]], + dtype=np.float64)] + + r = R.from_euler('z', 45, degrees=True) + cubes.append(r.apply(cubes[0])) + r = R.from_euler('y', np.arctan2(1.0, np.sqrt(2))) + cubes.append(r.apply(cubes[1])) + r = R.from_euler('y', 45, degrees=True) + cubes.append(r.apply(cubes[0])) + + dx = cubes[c0][:,0].max() - cubes[c1][:,0].min() + cube0 = cubes[c0] + + for delta in [1e8, 1.0, 1e-4, 1e-8, 1e-12]: + cube1 = cubes[c1] + np.array([dx + delta, 0, 0]) + distance = opengjk.pygjk(cube0, cube1) + print(distance, delta) + assert(np.isclose(distance, delta)) + +def test_random_objects(): + for i in range(1, 8): + for j in range(1, 8): + for k in range(1000): + arr1 = np.random.rand(i, 3) + arr2 = np.random.rand(j, 3) + opengjk.pygjk(arr1, arr2) + + +def test_large_random_objects(): + for i in range(1, 8): + for j in range(1, 8): + for k in range(1000): + arr1 = 10000.0*np.random.rand(i, 3) + arr2 = 10000.0*np.random.rand(j, 3) + opengjk.pygjk(arr1, arr2)