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
|
import gudhi
""" This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
Author(s): Vincent Rouvreau
Copyright (C) 2016 Inria
Modification(s):
- YYYY/MM Author: Description of the modification
"""
__author__ = "Vincent Rouvreau"
__copyright__ = "Copyright (C) 2016 Inria"
__license__ = "MIT"
def test_empty_euclidean_witness_complex():
euclidean_witness = gudhi.EuclideanWitnessComplex()
assert euclidean_witness.__is_defined() == False
def test_witness_complex():
point_cloud = [
[1.0, 1.0],
[7.0, 0.0],
[4.0, 6.0],
[9.0, 6.0],
[0.0, 14.0],
[2.0, 19.0],
[9.0, 17.0],
]
landmarks = [[1.0, 1.0], [7.0, 0.0], [4.0, 6.0]]
euclidean_witness_complex = gudhi.EuclideanWitnessComplex(
landmarks=landmarks, witnesses=point_cloud
)
simplex_tree = euclidean_witness_complex.create_simplex_tree(max_alpha_square=4.1)
assert landmarks[0] == euclidean_witness_complex.get_point(0)
assert landmarks[1] == euclidean_witness_complex.get_point(1)
assert landmarks[2] == euclidean_witness_complex.get_point(2)
assert simplex_tree.get_filtration() == [
([0], 0.0),
([1], 0.0),
([0, 1], 0.0),
([2], 0.0),
([0, 2], 0.0),
([1, 2], 0.0),
([0, 1, 2], 0.0),
]
def test_empty_euclidean_strong_witness_complex():
euclidean_strong_witness = gudhi.EuclideanStrongWitnessComplex()
assert euclidean_strong_witness.__is_defined() == False
def test_strong_witness_complex():
point_cloud = [
[1.0, 1.0],
[7.0, 0.0],
[4.0, 6.0],
[9.0, 6.0],
[0.0, 14.0],
[2.0, 19.0],
[9.0, 17.0],
]
landmarks = [[1.0, 1.0], [7.0, 0.0], [4.0, 6.0]]
euclidean_strong_witness_complex = gudhi.EuclideanStrongWitnessComplex(
landmarks=landmarks, witnesses=point_cloud
)
simplex_tree = euclidean_strong_witness_complex.create_simplex_tree(
max_alpha_square=14.9
)
assert landmarks[0] == euclidean_strong_witness_complex.get_point(0)
assert landmarks[1] == euclidean_strong_witness_complex.get_point(1)
assert landmarks[2] == euclidean_strong_witness_complex.get_point(2)
assert simplex_tree.get_filtration() == [([0], 0.0), ([1], 0.0), ([2], 0.0)]
simplex_tree = euclidean_strong_witness_complex.create_simplex_tree(
max_alpha_square=100.0
)
assert simplex_tree.get_filtration() == [
([0], 0.0),
([1], 0.0),
([2], 0.0),
([1, 2], 15.0),
([0, 2], 34.0),
([0, 1], 37.0),
([0, 1, 2], 37.0),
]
|