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-rwxr-xr-xsrc/python/test/test_alpha_complex.py133
1 files changed, 123 insertions, 10 deletions
diff --git a/src/python/test/test_alpha_complex.py b/src/python/test/test_alpha_complex.py
index 77121302..814f8289 100755
--- a/src/python/test/test_alpha_complex.py
+++ b/src/python/test/test_alpha_complex.py
@@ -8,7 +8,7 @@
- YYYY/MM Author: Description of the modification
"""
-from gudhi import AlphaComplex, SimplexTree
+import gudhi as gd
import math
import numpy as np
import pytest
@@ -24,14 +24,17 @@ __copyright__ = "Copyright (C) 2016 Inria"
__license__ = "MIT"
-def test_empty_alpha():
- alpha_complex = AlphaComplex(points=[[0, 0]])
+def _empty_alpha(precision):
+ alpha_complex = gd.AlphaComplex(points=[[0, 0]], precision = precision)
assert alpha_complex.__is_defined() == True
+def test_empty_alpha():
+ for precision in ['fast', 'safe', 'exact']:
+ _empty_alpha(precision)
-def test_infinite_alpha():
+def _infinite_alpha(precision):
point_list = [[0, 0], [1, 0], [0, 1], [1, 1]]
- alpha_complex = AlphaComplex(points=point_list)
+ alpha_complex = gd.AlphaComplex(points=point_list, precision = precision)
assert alpha_complex.__is_defined() == True
simplex_tree = alpha_complex.create_simplex_tree()
@@ -79,10 +82,13 @@ def test_infinite_alpha():
else:
assert False
+def test_infinite_alpha():
+ for precision in ['fast', 'safe', 'exact']:
+ _infinite_alpha(precision)
-def test_filtered_alpha():
+def _filtered_alpha(precision):
point_list = [[0, 0], [1, 0], [0, 1], [1, 1]]
- filtered_alpha = AlphaComplex(points=point_list)
+ filtered_alpha = gd.AlphaComplex(points=point_list, precision = precision)
simplex_tree = filtered_alpha.create_simplex_tree(max_alpha_square=0.25)
@@ -119,7 +125,11 @@ def test_filtered_alpha():
assert simplex_tree.get_star([0]) == [([0], 0.0), ([0, 1], 0.25), ([0, 2], 0.25)]
assert simplex_tree.get_cofaces([0], 1) == [([0, 1], 0.25), ([0, 2], 0.25)]
-def test_safe_alpha_persistence_comparison():
+def test_filtered_alpha():
+ for precision in ['fast', 'safe', 'exact']:
+ _filtered_alpha(precision)
+
+def _safe_alpha_persistence_comparison(precision):
#generate periodic signal
time = np.arange(0, 10, 1)
signal = [math.sin(x) for x in time]
@@ -131,10 +141,10 @@ def test_safe_alpha_persistence_comparison():
embedding2 = [[signal[i], delayed[i]] for i in range(len(time))]
#build alpha complex and simplex tree
- alpha_complex1 = AlphaComplex(points=embedding1)
+ alpha_complex1 = gd.AlphaComplex(points=embedding1, precision = precision)
simplex_tree1 = alpha_complex1.create_simplex_tree()
- alpha_complex2 = AlphaComplex(points=embedding2)
+ alpha_complex2 = gd.AlphaComplex(points=embedding2, precision = precision)
simplex_tree2 = alpha_complex2.create_simplex_tree()
diag1 = simplex_tree1.persistence()
@@ -143,3 +153,106 @@ def test_safe_alpha_persistence_comparison():
for (first_p, second_p) in zip_longest(diag1, diag2):
assert first_p[0] == pytest.approx(second_p[0])
assert first_p[1] == pytest.approx(second_p[1])
+
+
+def test_safe_alpha_persistence_comparison():
+ # Won't work for 'fast' version
+ _safe_alpha_persistence_comparison('safe')
+ _safe_alpha_persistence_comparison('exact')
+
+def _delaunay_complex(precision):
+ point_list = [[0, 0], [1, 0], [0, 1], [1, 1]]
+ filtered_alpha = gd.AlphaComplex(points=point_list, precision = precision)
+
+ simplex_tree = filtered_alpha.create_simplex_tree(default_filtration_value = True)
+
+ assert simplex_tree.num_simplices() == 11
+ assert simplex_tree.num_vertices() == 4
+
+ assert point_list[0] == filtered_alpha.get_point(0)
+ assert point_list[1] == filtered_alpha.get_point(1)
+ assert point_list[2] == filtered_alpha.get_point(2)
+ assert point_list[3] == filtered_alpha.get_point(3)
+ try:
+ filtered_alpha.get_point(4) == []
+ except IndexError:
+ pass
+ else:
+ assert False
+ try:
+ filtered_alpha.get_point(125) == []
+ except IndexError:
+ pass
+ else:
+ assert False
+
+ for filtered_value in simplex_tree.get_filtration():
+ assert math.isnan(filtered_value[1])
+ for filtered_value in simplex_tree.get_star([0]):
+ assert math.isnan(filtered_value[1])
+ for filtered_value in simplex_tree.get_cofaces([0], 1):
+ assert math.isnan(filtered_value[1])
+
+def test_delaunay_complex():
+ for precision in ['fast', 'safe', 'exact']:
+ _delaunay_complex(precision)
+
+def _3d_points_on_a_plane(precision, default_filtration_value):
+ alpha = gd.AlphaComplex(off_file='alphacomplexdoc.off', precision = precision)
+
+ simplex_tree = alpha.create_simplex_tree(default_filtration_value = default_filtration_value)
+ assert simplex_tree.dimension() == 2
+ assert simplex_tree.num_vertices() == 7
+ assert simplex_tree.num_simplices() == 25
+
+def test_3d_points_on_a_plane():
+ off_file = open("alphacomplexdoc.off", "w")
+ off_file.write("OFF \n" \
+ "7 0 0 \n" \
+ "1.0 1.0 0.0\n" \
+ "7.0 0.0 0.0\n" \
+ "4.0 6.0 0.0\n" \
+ "9.0 6.0 0.0\n" \
+ "0.0 14.0 0.0\n" \
+ "2.0 19.0 0.0\n" \
+ "9.0 17.0 0.0\n" )
+ off_file.close()
+
+ for default_filtration_value in [True, False]:
+ for precision in ['fast', 'safe', 'exact']:
+ _3d_points_on_a_plane(precision, default_filtration_value)
+
+def _3d_tetrahedrons(precision):
+ points = 10*np.random.rand(10, 3)
+ alpha = gd.AlphaComplex(points=points, precision = precision)
+ st_alpha = alpha.create_simplex_tree(default_filtration_value = False)
+ # New AlphaComplex for get_point to work
+ delaunay = gd.AlphaComplex(points=points, precision = precision)
+ st_delaunay = delaunay.create_simplex_tree(default_filtration_value = True)
+
+ delaunay_tetra = []
+ for sk in st_delaunay.get_skeleton(4):
+ if len(sk[0]) == 4:
+ tetra = [delaunay.get_point(sk[0][0]),
+ delaunay.get_point(sk[0][1]),
+ delaunay.get_point(sk[0][2]),
+ delaunay.get_point(sk[0][3]) ]
+ delaunay_tetra.append(sorted(tetra, key=lambda tup: tup[0]))
+
+ alpha_tetra = []
+ for sk in st_alpha.get_skeleton(4):
+ if len(sk[0]) == 4:
+ tetra = [alpha.get_point(sk[0][0]),
+ alpha.get_point(sk[0][1]),
+ alpha.get_point(sk[0][2]),
+ alpha.get_point(sk[0][3]) ]
+ alpha_tetra.append(sorted(tetra, key=lambda tup: tup[0]))
+
+ # Check the tetrahedrons from one list are in the second one
+ assert len(alpha_tetra) == len(delaunay_tetra)
+ for tetra_from_del in delaunay_tetra:
+ assert tetra_from_del in alpha_tetra
+
+def test_3d_tetrahedrons():
+ for precision in ['fast', 'safe', 'exact']:
+ _3d_tetrahedrons(precision)