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
|
import numpy as np
import scipy.interpolate
from gudhi.representations.vector_methods import BettiCurve2
def test_betti_curve_is_irregular_betti_curve_followed_by_interpolation():
m = 10
n = 1000
pinf = 0.05
pzero = 0.05
res = 100
success = True
pds = []
for i in range(0, m):
pd = np.zeros((n, 2))
pd[:, 0] = np.random.uniform(0, 10, n)
pd[:, 1] = np.random.uniform(pd[:, 0], 10, n)
pd[np.random.uniform(0, 1, n) < pzero, 0] = 0
pd[np.random.uniform(0, 1, n) < pinf, 1] = np.inf
pds.append(pd)
bc = BettiCurve2(None)
bc.fit(pds)
bettis = bc.transform(pds)
bc2 = BettiCurve2(None)
bettis2 = bc2.fit_transform(pds)
success = success and (bc2.grid_ == bc.grid_).all()
success = success and (bettis2 == bettis).all()
for i in range(0, m):
grid = np.linspace(pds[i].min(), pds[i].max() + 1, res)
bc_gridded = BettiCurve2(grid)
bettis_gridded = bc_gridded(pds[i])
interp = scipy.interpolate.interp1d(bc.grid_, bettis[i, :], kind="previous", fill_value="extrapolate")
bettis_interp = np.array(interp(grid), dtype=int)
success = success and (bettis_interp == bettis_gridded).all()
assert(success)
|
