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
|
import numpy as np
import meshplex
def test_circumcenters_line():
pts = [0.0, 1.0, 3.0, 4.0]
cells = [[0, 1], [1, 2], [2, 3]]
mesh = meshplex.Mesh(pts, cells)
print(mesh.cell_circumcenters)
ref = [0.5, 2.0, 3.5]
assert np.all(np.abs(mesh.cell_circumcenters - ref) < np.abs(ref) * 1.0e-13)
print(mesh.cell_circumradius)
ref = [0.5, 1.0, 0.5]
assert np.all(np.abs(mesh.cell_circumradius - ref) < np.abs(ref) * 1.0e-13)
def test_circumcenters_tri():
# two triangles in 5D
points = [
[0.0, 0.0, 0.0, 0.0, 0.0],
[1.0, 0.0, 0.0, 0.0, 0.0],
[1.0, 1.0, 0.0, 0.0, 0.0],
[0.0, 1.0, 0.0, 0.0, 0.0],
]
cells = [[0, 1, 2], [0, 3, 2]]
mesh = meshplex.Mesh(points, cells)
ref = [[0.5, 0.5, 0.0, 0.0, 0.0], [0.5, 0.5, 0.0, 0.0, 0.0]]
assert np.all(
np.abs(mesh.cell_circumcenters - ref) < np.abs(ref) * 1.0e-13 + 1.0e-13
)
print(mesh.cell_circumradius)
ref = [np.sqrt(2) / 2, np.sqrt(2) / 2]
assert np.all(np.abs(mesh.cell_circumradius - ref) < np.abs(ref) * 1.0e-13)
def test_circumcenters_tetra():
points = [
[0.0, 0.0, 0.0],
[1.0, 0.0, 0.0],
[0.0, 1.0, 0.0],
[0.0, 0.0, 1.0],
]
cells = [[0, 1, 2, 3]]
mesh = meshplex.Mesh(points, cells)
ref = [[0.5, 0.5, 0.5]]
print(mesh.cell_circumcenters)
assert np.all(np.abs(mesh.cell_circumcenters - ref) < np.abs(ref) * 1.0e-13)
print(mesh.cell_circumradius)
ref = [np.sqrt(3) / 2]
assert np.all(np.abs(mesh.cell_circumradius - ref) < np.abs(ref) * 1.0e-13)
def test_circumcenters_simplex5():
points = [
[0.0, 0.0, 0.0, 0.0],
[1.0, 0.0, 0.0, 0.0],
[0.0, 1.0, 0.0, 0.0],
[0.0, 0.0, 1.0, 0.0],
[0.0, 0.0, 0.0, 1.0],
]
cells = [[0, 1, 2, 3, 4]]
mesh = meshplex.Mesh(points, cells)
ref = [[0.5, 0.5, 0.5, 0.5]]
print(mesh.cell_circumcenters)
assert np.all(np.abs(mesh.cell_circumcenters - ref) < np.abs(ref) * 1.0e-13)
print(mesh.cell_circumradius)
ref = [1.0]
assert np.all(np.abs(mesh.cell_circumradius - ref) < np.abs(ref) * 1.0e-13)
if __name__ == "__main__":
# test_circumcenters_tri()
test_circumcenters_tetra()
|
