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authorROUVREAU Vincent <vincent.rouvreau@inria.fr>2019-06-26 16:59:58 +0200
committerROUVREAU Vincent <vincent.rouvreau@inria.fr>2019-06-26 16:59:58 +0200
commitfd47a2d926e78d3b83e79da3c959fb73809d09e4 (patch)
treed440223947ae58fa06d15c575f08023902bad898 /src
parent2ffd579440e6f0158588f8fa905e2f1dc49a5158 (diff)
Format Python files with black
Diffstat (limited to 'src')
-rw-r--r--src/cython/cython/persistence_graphical_tools.py233
-rwxr-xr-xsrc/cython/example/alpha_complex_diagram_persistence_from_off_file_example.py44
-rwxr-xr-xsrc/cython/example/alpha_rips_persistence_bottleneck_distance.py48
-rwxr-xr-xsrc/cython/example/bottleneck_basic_example.py13
-rwxr-xr-xsrc/cython/example/coordinate_graph_induced_complex.py44
-rwxr-xr-xsrc/cython/example/euclidean_strong_witness_complex_diagram_persistence_from_off_file_example.py52
-rwxr-xr-xsrc/cython/example/euclidean_witness_complex_diagram_persistence_from_off_file_example.py51
-rwxr-xr-xsrc/cython/example/functional_graph_induced_complex.py46
-rwxr-xr-xsrc/cython/example/gudhi_graphical_tools_example.py12
-rwxr-xr-xsrc/cython/example/nerve_of_a_covering.py44
-rwxr-xr-xsrc/cython/example/periodic_cubical_complex_barcode_persistence_from_perseus_file_example.py26
-rwxr-xr-xsrc/cython/example/random_cubical_complex_persistence_example.py25
-rwxr-xr-xsrc/cython/example/rips_complex_diagram_persistence_from_correlation_matrix_file_example.py47
-rwxr-xr-xsrc/cython/example/rips_complex_diagram_persistence_from_distance_matrix_file_example.py28
-rwxr-xr-xsrc/cython/example/rips_complex_diagram_persistence_from_off_file_example.py48
-rwxr-xr-xsrc/cython/example/rips_complex_from_points_example.py3
-rwxr-xr-xsrc/cython/example/rips_persistence_diagram.py3
-rwxr-xr-xsrc/cython/example/sparse_rips_persistence_diagram.py5
-rwxr-xr-xsrc/cython/example/tangential_complex_plain_homology_from_off_file_example.py42
-rwxr-xr-xsrc/cython/example/voronoi_graph_induced_complex.py44
-rwxr-xr-xsrc/cython/example/witness_complex_from_nearest_landmark_table.py12
-rwxr-xr-xsrc/cython/test/test_alpha_complex.py58
-rwxr-xr-xsrc/cython/test/test_bottleneck_distance.py8
-rwxr-xr-xsrc/cython/test/test_cover_complex.py59
-rwxr-xr-xsrc/cython/test/test_cubical_complex.py59
-rwxr-xr-xsrc/cython/test/test_euclidean_witness_complex.py68
-rwxr-xr-xsrc/cython/test/test_reader_utils.py105
-rwxr-xr-xsrc/cython/test/test_rips_complex.py92
-rwxr-xr-xsrc/cython/test/test_simplex_tree.py133
-rwxr-xr-xsrc/cython/test/test_subsampling.py140
-rwxr-xr-xsrc/cython/test/test_tangential_complex.py16
-rwxr-xr-xsrc/cython/test/test_witness_complex.py40
32 files changed, 1086 insertions, 562 deletions
diff --git a/src/cython/cython/persistence_graphical_tools.py b/src/cython/cython/persistence_graphical_tools.py
index ead81d30..34803222 100644
--- a/src/cython/cython/persistence_graphical_tools.py
+++ b/src/cython/cython/persistence_graphical_tools.py
@@ -16,7 +16,8 @@ __author__ = "Vincent Rouvreau, Bertrand Michel"
__copyright__ = "Copyright (C) 2016 Inria"
__license__ = "MIT"
-def __min_birth_max_death(persistence, band=0.):
+
+def __min_birth_max_death(persistence, band=0.0):
"""This function returns (min_birth, max_death) from the persistence.
:param persistence: The persistence to plot.
@@ -29,27 +30,47 @@ def __min_birth_max_death(persistence, band=0.):
max_death = 0
min_birth = persistence[0][1][0]
for interval in reversed(persistence):
- if float(interval[1][1]) != float('inf'):
+ if float(interval[1][1]) != float("inf"):
if float(interval[1][1]) > max_death:
max_death = float(interval[1][1])
if float(interval[1][0]) > max_death:
max_death = float(interval[1][0])
if float(interval[1][0]) < min_birth:
min_birth = float(interval[1][0])
- if band > 0.:
+ if band > 0.0:
max_death += band
return (min_birth, max_death)
+
"""
Only 13 colors for the palette
"""
-palette = ['#ff0000', '#00ff00', '#0000ff', '#00ffff', '#ff00ff', '#ffff00',
- '#000000', '#880000', '#008800', '#000088', '#888800', '#880088',
- '#008888']
-
-def plot_persistence_barcode(persistence=[], persistence_file='', alpha=0.6,
- max_intervals=1000, max_barcodes=1000,
- inf_delta=0.1, legend=False):
+palette = [
+ "#ff0000",
+ "#00ff00",
+ "#0000ff",
+ "#00ffff",
+ "#ff00ff",
+ "#ffff00",
+ "#000000",
+ "#880000",
+ "#008800",
+ "#000088",
+ "#888800",
+ "#880088",
+ "#008888",
+]
+
+
+def plot_persistence_barcode(
+ persistence=[],
+ persistence_file="",
+ alpha=0.6,
+ max_intervals=1000,
+ max_barcodes=1000,
+ inf_delta=0.1,
+ legend=False,
+):
"""This function plots the persistence bar code from persistence values list
or from a :doc:`persistence file <fileformats>`.
@@ -78,11 +99,13 @@ def plot_persistence_barcode(persistence=[], persistence_file='', alpha=0.6,
import matplotlib.pyplot as plt
import matplotlib.patches as mpatches
- if persistence_file is not '':
+ if persistence_file is not "":
if path.isfile(persistence_file):
# Reset persistence
persistence = []
- diag = read_persistence_intervals_grouped_by_dimension(persistence_file=persistence_file)
+ diag = read_persistence_intervals_grouped_by_dimension(
+ persistence_file=persistence_file
+ )
for key in diag.keys():
for persistence_interval in diag[key]:
persistence.append((key, persistence_interval))
@@ -91,44 +114,62 @@ def plot_persistence_barcode(persistence=[], persistence_file='', alpha=0.6,
return None
if max_barcodes is not 1000:
- print('Deprecated parameter. It has been replaced by max_intervals')
+ print("Deprecated parameter. It has been replaced by max_intervals")
max_intervals = max_barcodes
if max_intervals > 0 and max_intervals < len(persistence):
# Sort by life time, then takes only the max_intervals elements
- persistence = sorted(persistence, key=lambda life_time: life_time[1][1]-life_time[1][0], reverse=True)[:max_intervals]
+ persistence = sorted(
+ persistence,
+ key=lambda life_time: life_time[1][1] - life_time[1][0],
+ reverse=True,
+ )[:max_intervals]
persistence = sorted(persistence, key=lambda birth: birth[1][0])
(min_birth, max_death) = __min_birth_max_death(persistence)
ind = 0
- delta = ((max_death - min_birth) * inf_delta)
+ delta = (max_death - min_birth) * inf_delta
# Replace infinity values with max_death + delta for bar code to be more
# readable
infinity = max_death + delta
axis_start = min_birth - delta
# Draw horizontal bars in loop
for interval in reversed(persistence):
- if float(interval[1][1]) != float('inf'):
+ if float(interval[1][1]) != float("inf"):
# Finite death case
- plt.barh(ind, (interval[1][1] - interval[1][0]), height=0.8,
- left = interval[1][0], alpha=alpha,
- color = palette[interval[0]],
- linewidth=0)
+ plt.barh(
+ ind,
+ (interval[1][1] - interval[1][0]),
+ height=0.8,
+ left=interval[1][0],
+ alpha=alpha,
+ color=palette[interval[0]],
+ linewidth=0,
+ )
else:
# Infinite death case for diagram to be nicer
- plt.barh(ind, (infinity - interval[1][0]), height=0.8,
- left = interval[1][0], alpha=alpha,
- color = palette[interval[0]],
- linewidth=0)
+ plt.barh(
+ ind,
+ (infinity - interval[1][0]),
+ height=0.8,
+ left=interval[1][0],
+ alpha=alpha,
+ color=palette[interval[0]],
+ linewidth=0,
+ )
ind = ind + 1
if legend:
dimensions = list(set(item[0] for item in persistence))
- plt.legend(handles=[mpatches.Patch(color=palette[dim],
- label=str(dim)) for dim in dimensions],
- loc='lower right')
- plt.title('Persistence barcode')
+ plt.legend(
+ handles=[
+ mpatches.Patch(color=palette[dim], label=str(dim))
+ for dim in dimensions
+ ],
+ loc="lower right",
+ )
+ plt.title("Persistence barcode")
# Ends plot on infinity value and starts a little bit before min_birth
plt.axis([axis_start, infinity, 0, ind])
return plt
@@ -136,8 +177,17 @@ def plot_persistence_barcode(persistence=[], persistence_file='', alpha=0.6,
except ImportError:
print("This function is not available, you may be missing matplotlib.")
-def plot_persistence_diagram(persistence=[], persistence_file='', alpha=0.6,
- band=0., max_intervals=1000, max_plots=1000, inf_delta=0.1, legend=False):
+
+def plot_persistence_diagram(
+ persistence=[],
+ persistence_file="",
+ alpha=0.6,
+ band=0.0,
+ max_intervals=1000,
+ max_plots=1000,
+ inf_delta=0.1,
+ legend=False,
+):
"""This function plots the persistence diagram from persistence values
list or from a :doc:`persistence file <fileformats>`.
@@ -168,11 +218,13 @@ def plot_persistence_diagram(persistence=[], persistence_file='', alpha=0.6,
import matplotlib.pyplot as plt
import matplotlib.patches as mpatches
- if persistence_file is not '':
+ if persistence_file is not "":
if path.isfile(persistence_file):
# Reset persistence
persistence = []
- diag = read_persistence_intervals_grouped_by_dimension(persistence_file=persistence_file)
+ diag = read_persistence_intervals_grouped_by_dimension(
+ persistence_file=persistence_file
+ )
for key in diag.keys():
for persistence_interval in diag[key]:
persistence.append((key, persistence_interval))
@@ -181,15 +233,19 @@ def plot_persistence_diagram(persistence=[], persistence_file='', alpha=0.6,
return None
if max_plots is not 1000:
- print('Deprecated parameter. It has been replaced by max_intervals')
+ print("Deprecated parameter. It has been replaced by max_intervals")
max_intervals = max_plots
if max_intervals > 0 and max_intervals < len(persistence):
# Sort by life time, then takes only the max_intervals elements
- persistence = sorted(persistence, key=lambda life_time: life_time[1][1]-life_time[1][0], reverse=True)[:max_intervals]
+ persistence = sorted(
+ persistence,
+ key=lambda life_time: life_time[1][1] - life_time[1][0],
+ reverse=True,
+ )[:max_intervals]
(min_birth, max_death) = __min_birth_max_death(persistence, band)
- delta = ((max_death - min_birth) * inf_delta)
+ delta = (max_death - min_birth) * inf_delta
# Replace infinity values with max_death + delta for diagram to be more
# readable
infinity = max_death + delta
@@ -198,31 +254,41 @@ def plot_persistence_diagram(persistence=[], persistence_file='', alpha=0.6,
# line display of equation : birth = death
x = np.linspace(axis_start, infinity, 1000)
# infinity line and text
- plt.plot(x, x, color='k', linewidth=1.0)
- plt.plot(x, [infinity] * len(x), linewidth=1.0, color='k', alpha=alpha)
- plt.text(axis_start, infinity, r'$\infty$', color='k', alpha=alpha)
+ plt.plot(x, x, color="k", linewidth=1.0)
+ plt.plot(x, [infinity] * len(x), linewidth=1.0, color="k", alpha=alpha)
+ plt.text(axis_start, infinity, r"$\infty$", color="k", alpha=alpha)
# bootstrap band
- if band > 0.:
- plt.fill_between(x, x, x+band, alpha=alpha, facecolor='red')
+ if band > 0.0:
+ plt.fill_between(x, x, x + band, alpha=alpha, facecolor="red")
# Draw points in loop
for interval in reversed(persistence):
- if float(interval[1][1]) != float('inf'):
+ if float(interval[1][1]) != float("inf"):
# Finite death case
- plt.scatter(interval[1][0], interval[1][1], alpha=alpha,
- color = palette[interval[0]])
+ plt.scatter(
+ interval[1][0],
+ interval[1][1],
+ alpha=alpha,
+ color=palette[interval[0]],
+ )
else:
# Infinite death case for diagram to be nicer
- plt.scatter(interval[1][0], infinity, alpha=alpha,
- color = palette[interval[0]])
+ plt.scatter(
+ interval[1][0], infinity, alpha=alpha, color=palette[interval[0]]
+ )
if legend:
dimensions = list(set(item[0] for item in persistence))
- plt.legend(handles=[mpatches.Patch(color=palette[dim], label=str(dim)) for dim in dimensions])
-
- plt.title('Persistence diagram')
- plt.xlabel('Birth')
- plt.ylabel('Death')
+ plt.legend(
+ handles=[
+ mpatches.Patch(color=palette[dim], label=str(dim))
+ for dim in dimensions
+ ]
+ )
+
+ plt.title("Persistence diagram")
+ plt.xlabel("Birth")
+ plt.ylabel("Death")
# Ends plot on infinity value and starts a little bit before min_birth
plt.axis([axis_start, infinity, axis_start, infinity + delta])
return plt
@@ -230,10 +296,17 @@ def plot_persistence_diagram(persistence=[], persistence_file='', alpha=0.6,
except ImportError:
print("This function is not available, you may be missing matplotlib.")
-def plot_persistence_density(persistence=[], persistence_file='',
- nbins=300, bw_method=None,
- max_intervals=1000, dimension=None,
- cmap=None, legend=False):
+
+def plot_persistence_density(
+ persistence=[],
+ persistence_file="",
+ nbins=300,
+ bw_method=None,
+ max_intervals=1000,
+ dimension=None,
+ cmap=None,
+ legend=False,
+):
"""This function plots the persistence density from persistence
values list or from a :doc:`persistence file <fileformats>`. Be
aware that this function does not distinguish the dimension, it is
@@ -278,39 +351,53 @@ def plot_persistence_density(persistence=[], persistence_file='',
import matplotlib.pyplot as plt
from scipy.stats import kde
- if persistence_file is not '':
+ if persistence_file is not "":
if dimension is None:
# All dimension case
dimension = -1
if path.isfile(persistence_file):
- persistence_dim = read_persistence_intervals_in_dimension(persistence_file=persistence_file,
- only_this_dim=dimension)
+ persistence_dim = read_persistence_intervals_in_dimension(
+ persistence_file=persistence_file, only_this_dim=dimension
+ )
print(persistence_dim)
else:
print("file " + persistence_file + " not found.")
return None
if len(persistence) > 0:
- persistence_dim = np.array([(dim_interval[1][0], dim_interval[1][1]) for dim_interval in persistence if (dim_interval[0] == dimension) or (dimension is None)])
-
- persistence_dim = persistence_dim[np.isfinite(persistence_dim[:,1])]
+ persistence_dim = np.array(
+ [
+ (dim_interval[1][0], dim_interval[1][1])
+ for dim_interval in persistence
+ if (dim_interval[0] == dimension) or (dimension is None)
+ ]
+ )
+
+ persistence_dim = persistence_dim[np.isfinite(persistence_dim[:, 1])]
if max_intervals > 0 and max_intervals < len(persistence_dim):
# Sort by life time, then takes only the max_intervals elements
- persistence_dim = np.array(sorted(persistence_dim,
- key=lambda life_time: life_time[1]-life_time[0],
- reverse=True)[:max_intervals])
+ persistence_dim = np.array(
+ sorted(
+ persistence_dim,
+ key=lambda life_time: life_time[1] - life_time[0],
+ reverse=True,
+ )[:max_intervals]
+ )
# Set as numpy array birth and death (remove undefined values - inf and NaN)
- birth = persistence_dim[:,0]
- death = persistence_dim[:,1]
+ birth = persistence_dim[:, 0]
+ death = persistence_dim[:, 1]
# line display of equation : birth = death
x = np.linspace(death.min(), birth.max(), 1000)
- plt.plot(x, x, color='k', linewidth=1.0)
+ plt.plot(x, x, color="k", linewidth=1.0)
# Evaluate a gaussian kde on a regular grid of nbins x nbins over data extents
- k = kde.gaussian_kde([birth,death], bw_method=bw_method)
- xi, yi = np.mgrid[birth.min():birth.max():nbins*1j, death.min():death.max():nbins*1j]
+ k = kde.gaussian_kde([birth, death], bw_method=bw_method)
+ xi, yi = np.mgrid[
+ birth.min() : birth.max() : nbins * 1j,
+ death.min() : death.max() : nbins * 1j,
+ ]
zi = k(np.vstack([xi.flatten(), yi.flatten()]))
# default cmap value cannot be done at argument definition level as matplotlib is not yet defined.
@@ -322,10 +409,12 @@ def plot_persistence_density(persistence=[], persistence_file='',
if legend:
plt.colorbar()
- plt.title('Persistence density')
- plt.xlabel('Birth')
- plt.ylabel('Death')
+ plt.title("Persistence density")
+ plt.xlabel("Birth")
+ plt.ylabel("Death")
return plt
except ImportError:
- print("This function is not available, you may be missing matplotlib and/or scipy.")
+ print(
+ "This function is not available, you may be missing matplotlib and/or scipy."
+ )
diff --git a/src/cython/example/alpha_complex_diagram_persistence_from_off_file_example.py b/src/cython/example/alpha_complex_diagram_persistence_from_off_file_example.py
index d9925c22..b8f283b3 100755
--- a/src/cython/example/alpha_complex_diagram_persistence_from_off_file_example.py
+++ b/src/cython/example/alpha_complex_diagram_persistence_from_off_file_example.py
@@ -17,40 +17,48 @@ __author__ = "Vincent Rouvreau"
__copyright__ = "Copyright (C) 2016 Inria"
__license__ = "MIT"
-parser = argparse.ArgumentParser(description='AlphaComplex creation from '
- 'points read in a OFF file.',
- epilog='Example: '
- 'example/alpha_complex_diagram_persistence_from_off_file_example.py '
- '-f ../data/points/tore3D_300.off -a 0.6'
- '- Constructs a alpha complex with the '
- 'points from the given OFF file.')
+parser = argparse.ArgumentParser(
+ description="AlphaComplex creation from " "points read in a OFF file.",
+ epilog="Example: "
+ "example/alpha_complex_diagram_persistence_from_off_file_example.py "
+ "-f ../data/points/tore3D_300.off -a 0.6"
+ "- Constructs a alpha complex with the "
+ "points from the given OFF file.",
+)
parser.add_argument("-f", "--file", type=str, required=True)
parser.add_argument("-a", "--max_alpha_square", type=float, default=0.5)
-parser.add_argument("-b", "--band", type=float, default=0.)
-parser.add_argument('--no-diagram', default=False, action='store_true' , help='Flag for not to display the diagrams')
+parser.add_argument("-b", "--band", type=float, default=0.0)
+parser.add_argument(
+ "--no-diagram",
+ default=False,
+ action="store_true",
+ help="Flag for not to display the diagrams",
+)
args = parser.parse_args()
-with open(args.file, 'r') as f:
+with open(args.file, "r") as f:
first_line = f.readline()
- if (first_line == 'OFF\n') or (first_line == 'nOFF\n'):
+ if (first_line == "OFF\n") or (first_line == "nOFF\n"):
print("#####################################################################")
print("AlphaComplex creation from points read in a OFF file")
-
+
message = "AlphaComplex with max_edge_length=" + repr(args.max_alpha_square)
print(message)
-
+
alpha_complex = gudhi.AlphaComplex(off_file=args.file)
- simplex_tree = alpha_complex.create_simplex_tree(max_alpha_square=args.max_alpha_square)
-
+ simplex_tree = alpha_complex.create_simplex_tree(
+ max_alpha_square=args.max_alpha_square
+ )
+
message = "Number of simplices=" + repr(simplex_tree.num_simplices())
print(message)
-
+
diag = simplex_tree.persistence()
-
+
print("betti_numbers()=")
print(simplex_tree.betti_numbers())
-
+
if args.no_diagram == False:
pplot = gudhi.plot_persistence_diagram(diag, band=args.band)
pplot.show()
diff --git a/src/cython/example/alpha_rips_persistence_bottleneck_distance.py b/src/cython/example/alpha_rips_persistence_bottleneck_distance.py
index 92bf9d39..086307ee 100755
--- a/src/cython/example/alpha_rips_persistence_bottleneck_distance.py
+++ b/src/cython/example/alpha_rips_persistence_bottleneck_distance.py
@@ -18,21 +18,23 @@ __author__ = "Vincent Rouvreau"
__copyright__ = "Copyright (C) 2016 Inria"
__license__ = "MIT"
-parser = argparse.ArgumentParser(description='AlphaComplex and RipsComplex '
- 'persistence creation from points read in '
- 'a OFF file. Bottleneck distance computation'
- ' on each dimension',
- epilog='Example: '
- 'example/alpha_rips_persistence_bottleneck_distance.py '
- '-f ../data/points/tore3D_1307.off -t 0.15 -d 3')
+parser = argparse.ArgumentParser(
+ description="AlphaComplex and RipsComplex "
+ "persistence creation from points read in "
+ "a OFF file. Bottleneck distance computation"
+ " on each dimension",
+ epilog="Example: "
+ "example/alpha_rips_persistence_bottleneck_distance.py "
+ "-f ../data/points/tore3D_1307.off -t 0.15 -d 3",
+)
parser.add_argument("-f", "--file", type=str, required=True)
parser.add_argument("-t", "--threshold", type=float, default=0.5)
parser.add_argument("-d", "--max_dimension", type=int, default=1)
args = parser.parse_args()
-with open(args.file, 'r') as f:
+with open(args.file, "r") as f:
first_line = f.readline()
- if (first_line == 'OFF\n') or (first_line == 'nOFF\n'):
+ if (first_line == "OFF\n") or (first_line == "nOFF\n"):
point_cloud = gudhi.read_off(off_file=args.file)
print("#####################################################################")
print("RipsComplex creation from points read in a OFF file")
@@ -40,8 +42,9 @@ with open(args.file, 'r') as f:
message = "RipsComplex with max_edge_length=" + repr(args.threshold)
print(message)
- rips_complex = gudhi.RipsComplex(points=point_cloud,
- max_edge_length=args.threshold)
+ rips_complex = gudhi.RipsComplex(
+ points=point_cloud, max_edge_length=args.threshold
+ )
rips_stree = rips_complex.create_simplex_tree(max_dimension=args.max_dimension)
@@ -57,7 +60,9 @@ with open(args.file, 'r') as f:
print(message)
alpha_complex = gudhi.AlphaComplex(points=point_cloud)
- alpha_stree = alpha_complex.create_simplex_tree(max_alpha_square=(args.threshold * args.threshold))
+ alpha_stree = alpha_complex.create_simplex_tree(
+ max_alpha_square=(args.threshold * args.threshold)
+ )
message = "Number of simplices=" + repr(alpha_stree.num_simplices())
print(message)
@@ -71,15 +76,26 @@ with open(args.file, 'r') as f:
funcs = [math.sqrt, math.sqrt]
alpha_intervals = []
for interval in alpha_stree.persistence_intervals_in_dimension(dim):
- alpha_intervals.append(map(lambda func,value: func(value), funcs, interval))
+ alpha_intervals.append(
+ map(lambda func, value: func(value), funcs, interval)
+ )
rips_intervals = rips_stree.persistence_intervals_in_dimension(dim)
- bottleneck_distance = gudhi.bottleneck_distance(rips_intervals, alpha_intervals)
- message = "In dimension " + repr(dim) + ", bottleneck distance = " + repr(bottleneck_distance)
+ bottleneck_distance = gudhi.bottleneck_distance(
+ rips_intervals, alpha_intervals
+ )
+ message = (
+ "In dimension "
+ + repr(dim)
+ + ", bottleneck distance = "
+ + repr(bottleneck_distance)
+ )
print(message)
max_b_distance = max(bottleneck_distance, max_b_distance)
- print("================================================================================")
+ print(
+ "================================================================================"
+ )
message = "Bottleneck distance is " + repr(max_b_distance)
print(message)
diff --git a/src/cython/example/bottleneck_basic_example.py b/src/cython/example/bottleneck_basic_example.py
index f47e24d4..392d2a6e 100755
--- a/src/cython/example/bottleneck_basic_example.py
+++ b/src/cython/example/bottleneck_basic_example.py
@@ -16,9 +16,9 @@ __author__ = "Francois Godi, Vincent Rouvreau"
__copyright__ = "Copyright (C) 2016 Inria"
__license__ = "MIT"
-diag1 = [[2.7, 3.7],[9.6, 14.],[34.2, 34.974], [3.,float('Inf')]]
+diag1 = [[2.7, 3.7], [9.6, 14.0], [34.2, 34.974], [3.0, float("Inf")]]
-diag2 = [[2.8, 4.45],[9.5, 14.1],[3.2,float('Inf')]]
+diag2 = [[2.8, 4.45], [9.5, 14.1], [3.2, float("Inf")]]
message = "diag1=" + repr(diag1)
print(message)
@@ -26,9 +26,12 @@ print(message)
message = "diag2=" + repr(diag2)
print(message)
-message = "Bottleneck distance approximation=" + repr(gudhi.bottleneck_distance(diag1, diag2, 0.1))
+message = "Bottleneck distance approximation=" + repr(
+ gudhi.bottleneck_distance(diag1, diag2, 0.1)
+)
print(message)
-message = "Bottleneck distance exact value=" + repr(gudhi.bottleneck_distance(diag1, diag2))
+message = "Bottleneck distance exact value=" + repr(
+ gudhi.bottleneck_distance(diag1, diag2)
+)
print(message)
-
diff --git a/src/cython/example/coordinate_graph_induced_complex.py b/src/cython/example/coordinate_graph_induced_complex.py
index f30eaf3e..e32141b4 100755
--- a/src/cython/example/coordinate_graph_induced_complex.py
+++ b/src/cython/example/coordinate_graph_induced_complex.py
@@ -17,24 +17,31 @@ __author__ = "Vincent Rouvreau"
__copyright__ = "Copyright (C) 2018 Inria"
__license__ = "MIT"
-parser = argparse.ArgumentParser(description='Coordinate GIC '
- 'from points read in a OFF file.',
- epilog='Example: '
- 'example/coordinate_graph_induced_complex.py '
- '-f ../data/points/KleinBottle5D.off -c 0 -v'
- '- Constructs the coordinate GIC with the '
- 'points from the given OFF file.')
+parser = argparse.ArgumentParser(
+ description="Coordinate GIC " "from points read in a OFF file.",
+ epilog="Example: "
+ "example/coordinate_graph_induced_complex.py "
+ "-f ../data/points/KleinBottle5D.off -c 0 -v"
+ "- Constructs the coordinate GIC with the "
+ "points from the given OFF file.",
+)
parser.add_argument("-f", "--file", type=str, required=True)
parser.add_argument("-c", "--coordinate", type=int, default=0)
-parser.add_argument("-v", "--verbose", default=False, action='store_true' , help='Flag for program verbosity')
+parser.add_argument(
+ "-v",
+ "--verbose",
+ default=False,
+ action="store_true",
+ help="Flag for program verbosity",
+)
args = parser.parse_args()
nerve_complex = gudhi.CoverComplex()
nerve_complex.set_verbose(args.verbose)
-if (nerve_complex.read_point_cloud(args.file)):
- nerve_complex.set_type('GIC')
+if nerve_complex.read_point_cloud(args.file):
+ nerve_complex.set_type("GIC")
nerve_complex.set_color_from_coordinate(args.coordinate)
nerve_complex.set_function_from_coordinate(args.coordinate)
nerve_complex.set_graph_from_automatic_rips()
@@ -45,12 +52,17 @@ if (nerve_complex.read_point_cloud(args.file)):
nerve_complex.plot_dot()
simplex_tree = nerve_complex.create_simplex_tree()
nerve_complex.compute_PD()
- if (args.verbose):
- print('Iterator on coordinate GIC simplices')
- result_str = 'Coordinate GIC is of dimension ' + \
- repr(simplex_tree.dimension()) + ' - ' + \
- repr(simplex_tree.num_simplices()) + ' simplices - ' + \
- repr(simplex_tree.num_vertices()) + ' vertices.'
+ if args.verbose:
+ print("Iterator on coordinate GIC simplices")
+ result_str = (
+ "Coordinate GIC is of dimension "
+ + repr(simplex_tree.dimension())
+ + " - "
+ + repr(simplex_tree.num_simplices())
+ + " simplices - "
+ + repr(simplex_tree.num_vertices())
+ + " vertices."
+ )
print(result_str)
for filtered_value in simplex_tree.get_filtration():
print(filtered_value[0])
diff --git a/src/cython/example/euclidean_strong_witness_complex_diagram_persistence_from_off_file_example.py b/src/cython/example/euclidean_strong_witness_complex_diagram_persistence_from_off_file_example.py
index 1a8de8bd..610ba44f 100755
--- a/src/cython/example/euclidean_strong_witness_complex_diagram_persistence_from_off_file_example.py
+++ b/src/cython/example/euclidean_strong_witness_complex_diagram_persistence_from_off_file_example.py
@@ -17,38 +17,54 @@ __author__ = "Vincent Rouvreau"
__copyright__ = "Copyright (C) 2016 Inria"
__license__ = "MIT"
-parser = argparse.ArgumentParser(description='EuclideanStrongWitnessComplex creation from '
- 'points read in a OFF file.',
- epilog='Example: '
- 'example/euclidean_strong_witness_complex_diagram_persistence_from_off_file_example.py '
- '-f ../data/points/tore3D_300.off -a 1.0 -n 20 -d 2'
- '- Constructs a strong witness complex with the '
- 'points from the given OFF file.')
+parser = argparse.ArgumentParser(
+ description="EuclideanStrongWitnessComplex creation from "
+ "points read in a OFF file.",
+ epilog="Example: "
+ "example/euclidean_strong_witness_complex_diagram_persistence_from_off_file_example.py "
+ "-f ../data/points/tore3D_300.off -a 1.0 -n 20 -d 2"
+ "- Constructs a strong witness complex with the "
+ "points from the given OFF file.",
+)
parser.add_argument("-f", "--file", type=str, required=True)
parser.add_argument("-a", "--max_alpha_square", type=float, required=True)
parser.add_argument("-n", "--number_of_landmarks", type=int, required=True)
parser.add_argument("-d", "--limit_dimension", type=int, required=True)
-parser.add_argument("-b", "--band", type=float, default=0.)
-parser.add_argument('--no-diagram', default=False, action='store_true' , help='Flag for not to display the diagrams')
+parser.add_argument("-b", "--band", type=float, default=0.0)
+parser.add_argument(
+ "--no-diagram",
+ default=False,
+ action="store_true",
+ help="Flag for not to display the diagrams",
+)
args = parser.parse_args()
-with open(args.file, 'r') as f:
+with open(args.file, "r") as f:
first_line = f.readline()
- if (first_line == 'OFF\n') or (first_line == 'nOFF\n'):
+ if (first_line == "OFF\n") or (first_line == "nOFF\n"):
print("#####################################################################")
print("EuclideanStrongWitnessComplex creation from points read in a OFF file")
witnesses = gudhi.read_off(off_file=args.file)
- landmarks = gudhi.pick_n_random_points(points=witnesses, nb_points=args.number_of_landmarks)
-
- message = "EuclideanStrongWitnessComplex with max_edge_length=" + repr(args.max_alpha_square) + \
- " - Number of landmarks=" + repr(args.number_of_landmarks)
+ landmarks = gudhi.pick_n_random_points(
+ points=witnesses, nb_points=args.number_of_landmarks
+ )
+
+ message = (
+ "EuclideanStrongWitnessComplex with max_edge_length="
+ + repr(args.max_alpha_square)
+ + " - Number of landmarks="
+ + repr(args.number_of_landmarks)
+ )
print(message)
- witness_complex = gudhi.EuclideanStrongWitnessComplex(witnesses=witnesses, landmarks=landmarks)
- simplex_tree = witness_complex.create_simplex_tree(max_alpha_square=args.max_alpha_square,
- limit_dimension=args.limit_dimension)
+ witness_complex = gudhi.EuclideanStrongWitnessComplex(
+ witnesses=witnesses, landmarks=landmarks
+ )
+ simplex_tree = witness_complex.create_simplex_tree(
+ max_alpha_square=args.max_alpha_square, limit_dimension=args.limit_dimension
+ )
message = "Number of simplices=" + repr(simplex_tree.num_simplices())
print(message)
diff --git a/src/cython/example/euclidean_witness_complex_diagram_persistence_from_off_file_example.py b/src/cython/example/euclidean_witness_complex_diagram_persistence_from_off_file_example.py
index 9a17f8de..7587b732 100755
--- a/src/cython/example/euclidean_witness_complex_diagram_persistence_from_off_file_example.py
+++ b/src/cython/example/euclidean_witness_complex_diagram_persistence_from_off_file_example.py
@@ -17,38 +17,53 @@ __author__ = "Vincent Rouvreau"
__copyright__ = "Copyright (C) 2016 Inria"
__license__ = "MIT"
-parser = argparse.ArgumentParser(description='EuclideanWitnessComplex creation from '
- 'points read in a OFF file.',
- epilog='Example: '
- 'example/euclidean_witness_complex_diagram_persistence_from_off_file_example.py '
- '-f ../data/points/tore3D_300.off -a 1.0 -n 20 -d 2'
- '- Constructs a weak witness complex with the '
- 'points from the given OFF file.')
+parser = argparse.ArgumentParser(
+ description="EuclideanWitnessComplex creation from " "points read in a OFF file.",
+ epilog="Example: "
+ "example/euclidean_witness_complex_diagram_persistence_from_off_file_example.py "
+ "-f ../data/points/tore3D_300.off -a 1.0 -n 20 -d 2"
+ "- Constructs a weak witness complex with the "
+ "points from the given OFF file.",
+)
parser.add_argument("-f", "--file", type=str, required=True)
parser.add_argument("-a", "--max_alpha_square", type=float, required=True)
parser.add_argument("-n", "--number_of_landmarks", type=int, required=True)
parser.add_argument("-d", "--limit_dimension", type=int, required=True)
-parser.add_argument("-b", "--band", type=float, default=0.)
-parser.add_argument('--no-diagram', default=False, action='store_true' , help='Flag for not to display the diagrams')
+parser.add_argument("-b", "--band", type=float, default=0.0)
+parser.add_argument(
+ "--no-diagram",
+ default=False,
+ action="store_true",
+ help="Flag for not to display the diagrams",
+)
args = parser.parse_args()
-with open(args.file, 'r') as f:
+with open(args.file, "r") as f:
first_line = f.readline()
- if (first_line == 'OFF\n') or (first_line == 'nOFF\n'):
+ if (first_line == "OFF\n") or (first_line == "nOFF\n"):
print("#####################################################################")
print("EuclideanWitnessComplex creation from points read in a OFF file")
witnesses = gudhi.read_off(off_file=args.file)
- landmarks = gudhi.pick_n_random_points(points=witnesses, nb_points=args.number_of_landmarks)
-
- message = "EuclideanWitnessComplex with max_edge_length=" + repr(args.max_alpha_square) + \
- " - Number of landmarks=" + repr(args.number_of_landmarks)
+ landmarks = gudhi.pick_n_random_points(
+ points=witnesses, nb_points=args.number_of_landmarks
+ )
+
+ message = (
+ "EuclideanWitnessComplex with max_edge_length="
+ + repr(args.max_alpha_square)
+ + " - Number of landmarks="
+ + repr(args.number_of_landmarks)
+ )
print(message)
- witness_complex = gudhi.EuclideanWitnessComplex(witnesses=witnesses, landmarks=landmarks)
- simplex_tree = witness_complex.create_simplex_tree(max_alpha_square=args.max_alpha_square,
- limit_dimension=args.limit_dimension)
+ witness_complex = gudhi.EuclideanWitnessComplex(
+ witnesses=witnesses, landmarks=landmarks
+ )
+ simplex_tree = witness_complex.create_simplex_tree(
+ max_alpha_square=args.max_alpha_square, limit_dimension=args.limit_dimension
+ )
message = "Number of simplices=" + repr(simplex_tree.num_simplices())
print(message)
diff --git a/src/cython/example/functional_graph_induced_complex.py b/src/cython/example/functional_graph_induced_complex.py
index f87c6837..8b645040 100755
--- a/src/cython/example/functional_graph_induced_complex.py
+++ b/src/cython/example/functional_graph_induced_complex.py
@@ -17,25 +17,32 @@ __author__ = "Vincent Rouvreau"
__copyright__ = "Copyright (C) 2018 Inria"
__license__ = "MIT"
-parser = argparse.ArgumentParser(description='Functional GIC '
- 'from points read in a OFF file.',
- epilog='Example: '
- 'example/functional_graph_induced_complex.py '
- '-o ../data/points/COIL_database/lucky_cat.off '
- '-f ../data/points/COIL_database/lucky_cat_PCA1'
- '- Constructs the functional GIC with the '
- 'points from the given OFF and function files.')
+parser = argparse.ArgumentParser(
+ description="Functional GIC " "from points read in a OFF file.",
+ epilog="Example: "
+ "example/functional_graph_induced_complex.py "
+ "-o ../data/points/COIL_database/lucky_cat.off "
+ "-f ../data/points/COIL_database/lucky_cat_PCA1"
+ "- Constructs the functional GIC with the "
+ "points from the given OFF and function files.",
+)
parser.add_argument("-o", "--off-file", type=str, required=True)
parser.add_argument("-f", "--function-file", type=str, required=True)
-parser.add_argument("-v", "--verbose", default=False, action='store_true' , help='Flag for program verbosity')
+parser.add_argument(
+ "-v",
+ "--verbose",
+ default=False,
+ action="store_true",
+ help="Flag for program verbosity",
+)
args = parser.parse_args()
nerve_complex = gudhi.CoverComplex()
nerve_complex.set_verbose(args.verbose)
-if (nerve_complex.read_point_cloud(args.off_file)):
- nerve_complex.set_type('GIC')
+if nerve_complex.read_point_cloud(args.off_file):
+ nerve_complex.set_type("GIC")
nerve_complex.set_color_from_file(args.function_file)
nerve_complex.set_function_from_file(args.function_file)
nerve_complex.set_graph_from_automatic_rips()
@@ -46,12 +53,17 @@ if (nerve_complex.read_point_cloud(args.off_file)):
nerve_complex.plot_dot()
simplex_tree = nerve_complex.create_simplex_tree()
nerve_complex.compute_PD()
- if (args.verbose):
- print('Iterator on functional GIC simplices')
- result_str = 'Functional GIC is of dimension ' + \
- repr(simplex_tree.dimension()) + ' - ' + \
- repr(simplex_tree.num_simplices()) + ' simplices - ' + \
- repr(simplex_tree.num_vertices()) + ' vertices.'
+ if args.verbose:
+ print("Iterator on functional GIC simplices")
+ result_str = (
+ "Functional GIC is of dimension "
+ + repr(simplex_tree.dimension())
+ + " - "
+ + repr(simplex_tree.num_simplices())
+ + " simplices - "
+ + repr(simplex_tree.num_vertices())
+ + " vertices."
+ )
print(result_str)
for filtered_value in simplex_tree.get_filtration():
print(filtered_value[0])
diff --git a/src/cython/example/gudhi_graphical_tools_example.py b/src/cython/example/gudhi_graphical_tools_example.py
index 4f64c615..3b0ca54d 100755
--- a/src/cython/example/gudhi_graphical_tools_example.py
+++ b/src/cython/example/gudhi_graphical_tools_example.py
@@ -19,9 +19,15 @@ __license__ = "MIT"
print("#####################################################################")
print("Show barcode persistence example")
-persistence = [(2, (1.0, float('inf'))), (1, (1.4142135623730951, float('inf'))),
- (1, (1.4142135623730951, float('inf'))), (0, (0.0, float('inf'))),
- (0, (0.0, 1.0)), (0, (0.0, 1.0)), (0, (0.0, 1.0))]
+persistence = [
+ (2, (1.0, float("inf"))),
+ (1, (1.4142135623730951, float("inf"))),
+ (1, (1.4142135623730951, float("inf"))),
+ (0, (0.0, float("inf"))),
+ (0, (0.0, 1.0)),
+ (0, (0.0, 1.0)),
+ (0, (0.0, 1.0)),
+]
gudhi.plot_persistence_barcode(persistence)
print("#####################################################################")
diff --git a/src/cython/example/nerve_of_a_covering.py b/src/cython/example/nerve_of_a_covering.py
index 707f0631..3c8e0f90 100755
--- a/src/cython/example/nerve_of_a_covering.py
+++ b/src/cython/example/nerve_of_a_covering.py
@@ -17,26 +17,33 @@ __author__ = "Vincent Rouvreau"
__copyright__ = "Copyright (C) 2018 Inria"
__license__ = "MIT"
-parser = argparse.ArgumentParser(description='Nerve of a covering creation '
- 'from points read in a OFF file.',
- epilog='Example: '
- 'example/nerve_of_a_covering.py '
- '-f ../data/points/human.off -c 2 -r 10 -g 0.3'
- '- Constructs Nerve of a covering with the '
- 'points from the given OFF file.')
+parser = argparse.ArgumentParser(
+ description="Nerve of a covering creation " "from points read in a OFF file.",
+ epilog="Example: "
+ "example/nerve_of_a_covering.py "
+ "-f ../data/points/human.off -c 2 -r 10 -g 0.3"
+ "- Constructs Nerve of a covering with the "
+ "points from the given OFF file.",
+)
parser.add_argument("-f", "--file", type=str, required=True)
parser.add_argument("-c", "--coordinate", type=int, default=0)
parser.add_argument("-r", "--resolution", type=int, default=10)
parser.add_argument("-g", "--gain", type=float, default=0.3)
-parser.add_argument("-v", "--verbose", default=False, action='store_true' , help='Flag for program verbosity')
+parser.add_argument(
+ "-v",
+ "--verbose",
+ default=False,
+ action="store_true",
+ help="Flag for program verbosity",
+)
args = parser.parse_args()
nerve_complex = gudhi.CoverComplex()
nerve_complex.set_verbose(args.verbose)
-if (nerve_complex.read_point_cloud(args.file)):
- nerve_complex.set_type('Nerve')
+if nerve_complex.read_point_cloud(args.file):
+ nerve_complex.set_type("Nerve")
nerve_complex.set_color_from_coordinate(args.coordinate)
nerve_complex.set_function_from_coordinate(args.coordinate)
nerve_complex.set_graph_from_OFF()
@@ -47,12 +54,17 @@ if (nerve_complex.read_point_cloud(args.file)):
nerve_complex.write_info()
simplex_tree = nerve_complex.create_simplex_tree()
nerve_complex.compute_PD()
- if (args.verbose):
- print('Iterator on graph induced complex simplices')
- result_str = 'Nerve is of dimension ' + \
- repr(simplex_tree.dimension()) + ' - ' + \
- repr(simplex_tree.num_simplices()) + ' simplices - ' + \
- repr(simplex_tree.num_vertices()) + ' vertices.'
+ if args.verbose:
+ print("Iterator on graph induced complex simplices")
+ result_str = (
+ "Nerve is of dimension "
+ + repr(simplex_tree.dimension())
+ + " - "
+ + repr(simplex_tree.num_simplices())
+ + " simplices - "
+ + repr(simplex_tree.num_vertices())
+ + " vertices."
+ )
print(result_str)
for filtered_value in simplex_tree.get_filtration():
print(filtered_value[0])
diff --git a/src/cython/example/periodic_cubical_complex_barcode_persistence_from_perseus_file_example.py b/src/cython/example/periodic_cubical_complex_barcode_persistence_from_perseus_file_example.py
index 40a2fed1..9cb855cd 100755
--- a/src/cython/example/periodic_cubical_complex_barcode_persistence_from_perseus_file_example.py
+++ b/src/cython/example/periodic_cubical_complex_barcode_persistence_from_perseus_file_example.py
@@ -17,8 +17,9 @@ __author__ = "Vincent Rouvreau"
__copyright__ = "Copyright (C) 2016 Inria"
__license__ = "MIT"
+
def is_file_perseus(file):
- num_lines = open(file).read().count('\n')
+ num_lines = open(file).read().count("\n")
try:
f = open(file)
num_dim = int(f.readline())
@@ -36,14 +37,21 @@ def is_file_perseus(file):
except ValueError:
return False
-parser = argparse.ArgumentParser(description='Periodic cubical complex from a '
- 'Perseus-style file name.',
- epilog='Example: '
- './periodic_cubical_complex_barcode_persistence_from_perseus_file_example.py'
- ' -f ../data/bitmap/CubicalTwoSphere.txt')
+
+parser = argparse.ArgumentParser(
+ description="Periodic cubical complex from a " "Perseus-style file name.",
+ epilog="Example: "
+ "./periodic_cubical_complex_barcode_persistence_from_perseus_file_example.py"
+ " -f ../data/bitmap/CubicalTwoSphere.txt",
+)
parser.add_argument("-f", "--file", type=str, required=True)
-parser.add_argument('--no-barcode', default=False, action='store_true' , help='Flag for not to display the barcodes')
+parser.add_argument(
+ "--no-barcode",
+ default=False,
+ action="store_true",
+ help="Flag for not to display the barcodes",
+)
args = parser.parse_args()
@@ -53,7 +61,9 @@ if is_file_perseus(args.file):
periodic_cubical_complex = gudhi.PeriodicCubicalComplex(perseus_file=args.file)
print("persistence(homology_coeff_field=3, min_persistence=0)=")
- diag = periodic_cubical_complex.persistence(homology_coeff_field=3, min_persistence=0)
+ diag = periodic_cubical_complex.persistence(
+ homology_coeff_field=3, min_persistence=0
+ )
print(diag)
print("betti_numbers()=")
diff --git a/src/cython/example/random_cubical_complex_persistence_example.py b/src/cython/example/random_cubical_complex_persistence_example.py
index 12db3f41..da0eb177 100755
--- a/src/cython/example/random_cubical_complex_persistence_example.py
+++ b/src/cython/example/random_cubical_complex_persistence_example.py
@@ -21,23 +21,26 @@ __author__ = "Vincent Rouvreau"
__copyright__ = "Copyright (C) 2016 Inria"
__license__ = "MIT"
-parser = argparse.ArgumentParser(description='Random cubical complex.',
- epilog='Example: '
- './random_cubical_complex_persistence_example.py'
- ' 10 10 10 - Constructs a random cubical '
- 'complex in a dimension [10, 10, 10] (aka. '
- '1000 random top dimensional cells).')
-parser.add_argument('dimension', type=int, nargs="*",
- help='Cubical complex dimensions')
+parser = argparse.ArgumentParser(
+ description="Random cubical complex.",
+ epilog="Example: "
+ "./random_cubical_complex_persistence_example.py"
+ " 10 10 10 - Constructs a random cubical "
+ "complex in a dimension [10, 10, 10] (aka. "
+ "1000 random top dimensional cells).",
+)
+parser.add_argument("dimension", type=int, nargs="*", help="Cubical complex dimensions")
args = parser.parse_args()
dimension_multiplication = reduce(operator.mul, args.dimension, 1)
-if dimension_multiplication > 1:
+if dimension_multiplication > 1:
print("#####################################################################")
print("CubicalComplex creation")
- cubical_complex = gudhi.CubicalComplex(dimensions=args.dimension,
- top_dimensional_cells = numpy.random.rand(dimension_multiplication))
+ cubical_complex = gudhi.CubicalComplex(
+ dimensions=args.dimension,
+ top_dimensional_cells=numpy.random.rand(dimension_multiplication),
+ )
print("persistence(homology_coeff_field=2, min_persistence=0)=")
print(cubical_complex.persistence(homology_coeff_field=2, min_persistence=0))
diff --git a/src/cython/example/rips_complex_diagram_persistence_from_correlation_matrix_file_example.py b/src/cython/example/rips_complex_diagram_persistence_from_correlation_matrix_file_example.py
index 98be0123..3571580b 100755
--- a/src/cython/example/rips_complex_diagram_persistence_from_correlation_matrix_file_example.py
+++ b/src/cython/example/rips_complex_diagram_persistence_from_correlation_matrix_file_example.py
@@ -18,22 +18,28 @@ __author__ = "Vincent Rouvreau"
__copyright__ = "Copyright (C) 2017 Inria"
__license__ = "MIT"
-parser = argparse.ArgumentParser(description='RipsComplex creation from '
- 'a correlation matrix read in a csv file.',
- epilog='Example: '
- 'example/rips_complex_diagram_persistence_from_correlation_matrix_file_example.py '
- '-f ../data/correlation_matrix/lower_triangular_correlation_matrix.csv -e 12.0 -d 3'
- '- Constructs a Rips complex with the '
- 'correlation matrix from the given csv file.')
+parser = argparse.ArgumentParser(
+ description="RipsComplex creation from " "a correlation matrix read in a csv file.",
+ epilog="Example: "
+ "example/rips_complex_diagram_persistence_from_correlation_matrix_file_example.py "
+ "-f ../data/correlation_matrix/lower_triangular_correlation_matrix.csv -e 12.0 -d 3"
+ "- Constructs a Rips complex with the "
+ "correlation matrix from the given csv file.",
+)
parser.add_argument("-f", "--file", type=str, required=True)
parser.add_argument("-c", "--min_edge_correlation", type=float, default=0.5)
parser.add_argument("-d", "--max_dimension", type=int, default=1)
-parser.add_argument("-b", "--band", type=float, default=0.)
-parser.add_argument('--no-diagram', default=False, action='store_true' , help='Flag for not to display the diagrams')
+parser.add_argument("-b", "--band", type=float, default=0.0)
+parser.add_argument(
+ "--no-diagram",
+ default=False,
+ action="store_true",
+ help="Flag for not to display the diagrams",
+)
args = parser.parse_args()
-if not (-1. < args.min_edge_correlation < 1.):
+if not (-1.0 < args.min_edge_correlation < 1.0):
print("Wrong value of the treshold corelation (should be between -1 and 1).")
sys.exit(1)
@@ -48,12 +54,18 @@ print("RipsComplex creation from correlation matrix read in a csv file")
message = "RipsComplex with min_edge_correlation=" + repr(args.min_edge_correlation)
print(message)
-correlation_matrix = gudhi.read_lower_triangular_matrix_from_csv_file(csv_file=args.file)
+correlation_matrix = gudhi.read_lower_triangular_matrix_from_csv_file(
+ csv_file=args.file
+)
# Given a correlation matrix M, we compute component-wise M'[i,j] = 1-M[i,j] to get a distance matrix:
-distance_matrix = [[1.-correlation_matrix[i][j] for j in range(len(correlation_matrix[i]))] for i in range(len(correlation_matrix))]
-
-rips_complex = gudhi.RipsComplex(distance_matrix=distance_matrix,
- max_edge_length=1.-args.min_edge_correlation)
+distance_matrix = [
+ [1.0 - correlation_matrix[i][j] for j in range(len(correlation_matrix[i]))]
+ for i in range(len(correlation_matrix))
+]
+
+rips_complex = gudhi.RipsComplex(
+ distance_matrix=distance_matrix, max_edge_length=1.0 - args.min_edge_correlation
+)
simplex_tree = rips_complex.create_simplex_tree(max_dimension=args.max_dimension)
message = "Number of simplices=" + repr(simplex_tree.num_simplices())
@@ -65,7 +77,10 @@ print("betti_numbers()=")
print(simplex_tree.betti_numbers())
# invert the persistence diagram
-invert_diag = [(diag[pers][0],(1.-diag[pers][1][0], 1.-diag[pers][1][1])) for pers in range(len(diag))]
+invert_diag = [
+ (diag[pers][0], (1.0 - diag[pers][1][0], 1.0 - diag[pers][1][1]))
+ for pers in range(len(diag))
+]
if args.no_diagram == False:
pplot = gudhi.plot_persistence_diagram(invert_diag, band=args.band)
diff --git a/src/cython/example/rips_complex_diagram_persistence_from_distance_matrix_file_example.py b/src/cython/example/rips_complex_diagram_persistence_from_distance_matrix_file_example.py
index f02dc0c0..0b9a9ba9 100755
--- a/src/cython/example/rips_complex_diagram_persistence_from_distance_matrix_file_example.py
+++ b/src/cython/example/rips_complex_diagram_persistence_from_distance_matrix_file_example.py
@@ -17,18 +17,24 @@ __author__ = "Vincent Rouvreau"
__copyright__ = "Copyright (C) 2016 Inria"
__license__ = "MIT"
-parser = argparse.ArgumentParser(description='RipsComplex creation from '
- 'a distance matrix read in a csv file.',
- epilog='Example: '
- 'example/rips_complex_diagram_persistence_from_distance_matrix_file_example.py '
- '-f ../data/distance_matrix/lower_triangular_distance_matrix.csv -e 12.0 -d 3'
- '- Constructs a Rips complex with the '
- 'distance matrix from the given csv file.')
+parser = argparse.ArgumentParser(
+ description="RipsComplex creation from " "a distance matrix read in a csv file.",
+ epilog="Example: "
+ "example/rips_complex_diagram_persistence_from_distance_matrix_file_example.py "
+ "-f ../data/distance_matrix/lower_triangular_distance_matrix.csv -e 12.0 -d 3"
+ "- Constructs a Rips complex with the "
+ "distance matrix from the given csv file.",
+)
parser.add_argument("-f", "--file", type=str, required=True)
parser.add_argument("-e", "--max_edge_length", type=float, default=0.5)
parser.add_argument("-d", "--max_dimension", type=int, default=1)
-parser.add_argument("-b", "--band", type=float, default=0.)
-parser.add_argument('--no-diagram', default=False, action='store_true' , help='Flag for not to display the diagrams')
+parser.add_argument("-b", "--band", type=float, default=0.0)
+parser.add_argument(
+ "--no-diagram",
+ default=False,
+ action="store_true",
+ help="Flag for not to display the diagrams",
+)
args = parser.parse_args()
@@ -39,7 +45,9 @@ message = "RipsComplex with max_edge_length=" + repr(args.max_edge_length)
print(message)
distance_matrix = gudhi.read_lower_triangular_matrix_from_csv_file(csv_file=args.file)
-rips_complex = gudhi.RipsComplex(distance_matrix=distance_matrix, max_edge_length=args.max_edge_length)
+rips_complex = gudhi.RipsComplex(
+ distance_matrix=distance_matrix, max_edge_length=args.max_edge_length
+)
simplex_tree = rips_complex.create_simplex_tree(max_dimension=args.max_dimension)
message = "Number of simplices=" + repr(simplex_tree.num_simplices())
diff --git a/src/cython/example/rips_complex_diagram_persistence_from_off_file_example.py b/src/cython/example/rips_complex_diagram_persistence_from_off_file_example.py
index e1f8b85d..2b335bba 100755
--- a/src/cython/example/rips_complex_diagram_persistence_from_off_file_example.py
+++ b/src/cython/example/rips_complex_diagram_persistence_from_off_file_example.py
@@ -17,42 +17,52 @@ __author__ = "Vincent Rouvreau"
__copyright__ = "Copyright (C) 2016 Inria"
__license__ = "MIT"
-parser = argparse.ArgumentParser(description='RipsComplex creation from '
- 'points read in a OFF file.',
- epilog='Example: '
- 'example/rips_complex_diagram_persistence_from_off_file_example.py '
- '-f ../data/points/tore3D_300.off -a 0.6'
- '- Constructs a Rips complex with the '
- 'points from the given OFF file.')
+parser = argparse.ArgumentParser(
+ description="RipsComplex creation from " "points read in a OFF file.",
+ epilog="Example: "
+ "example/rips_complex_diagram_persistence_from_off_file_example.py "
+ "-f ../data/points/tore3D_300.off -a 0.6"
+ "- Constructs a Rips complex with the "
+ "points from the given OFF file.",
+)
parser.add_argument("-f", "--file", type=str, required=True)
parser.add_argument("-e", "--max_edge_length", type=float, default=0.5)
parser.add_argument("-d", "--max_dimension", type=int, default=1)
-parser.add_argument("-b", "--band", type=float, default=0.)
-parser.add_argument('--no-diagram', default=False, action='store_true' , help='Flag for not to display the diagrams')
+parser.add_argument("-b", "--band", type=float, default=0.0)
+parser.add_argument(
+ "--no-diagram",
+ default=False,
+ action="store_true",
+ help="Flag for not to display the diagrams",
+)
args = parser.parse_args()
-with open(args.file, 'r') as f:
+with open(args.file, "r") as f:
first_line = f.readline()
- if (first_line == 'OFF\n') or (first_line == 'nOFF\n'):
+ if (first_line == "OFF\n") or (first_line == "nOFF\n"):
print("#####################################################################")
print("RipsComplex creation from points read in a OFF file")
-
+
message = "RipsComplex with max_edge_length=" + repr(args.max_edge_length)
print(message)
-
+
point_cloud = gudhi.read_off(off_file=args.file)
- rips_complex = gudhi.RipsComplex(points=point_cloud, max_edge_length=args.max_edge_length)
- simplex_tree = rips_complex.create_simplex_tree(max_dimension=args.max_dimension)
-
+ rips_complex = gudhi.RipsComplex(
+ points=point_cloud, max_edge_length=args.max_edge_length
+ )
+ simplex_tree = rips_complex.create_simplex_tree(
+ max_dimension=args.max_dimension
+ )
+
message = "Number of simplices=" + repr(simplex_tree.num_simplices())
print(message)
-
+
diag = simplex_tree.persistence()
-
+
print("betti_numbers()=")
print(simplex_tree.betti_numbers())
-
+
if args.no_diagram == False:
pplot = gudhi.plot_persistence_diagram(diag, band=args.band)
pplot.show()
diff --git a/src/cython/example/rips_complex_from_points_example.py b/src/cython/example/rips_complex_from_points_example.py
index f0d7a097..59d8a261 100755
--- a/src/cython/example/rips_complex_from_points_example.py
+++ b/src/cython/example/rips_complex_from_points_example.py
@@ -18,8 +18,7 @@ __license__ = "MIT"
print("#####################################################################")
print("RipsComplex creation from points")
-rips = gudhi.RipsComplex(points=[[0, 0], [1, 0], [0, 1], [1, 1]],
- max_edge_length=42)
+rips = gudhi.RipsComplex(points=[[0, 0], [1, 0], [0, 1], [1, 1]], max_edge_length=42)
simplex_tree = rips.create_simplex_tree(max_dimension=1)
diff --git a/src/cython/example/rips_persistence_diagram.py b/src/cython/example/rips_persistence_diagram.py
index 6b02eac9..f5897d7b 100755
--- a/src/cython/example/rips_persistence_diagram.py
+++ b/src/cython/example/rips_persistence_diagram.py
@@ -18,8 +18,7 @@ __license__ = "MIT"
print("#####################################################################")
print("RipsComplex creation from points")
-rips = gudhi.RipsComplex(points=[[0, 0], [1, 0], [0, 1], [1, 1]],
- max_edge_length=42)
+rips = gudhi.RipsComplex(points=[[0, 0], [1, 0], [0, 1], [1, 1]], max_edge_length=42)
simplex_tree = rips.create_simplex_tree(max_dimension=1)
diff --git a/src/cython/example/sparse_rips_persistence_diagram.py b/src/cython/example/sparse_rips_persistence_diagram.py
index e58baf45..671d5e34 100755
--- a/src/cython/example/sparse_rips_persistence_diagram.py
+++ b/src/cython/example/sparse_rips_persistence_diagram.py
@@ -18,8 +18,9 @@ __license__ = "MIT"
print("#####################################################################")
print("Sparse RipsComplex creation from points")
-rips = gudhi.RipsComplex(points=[[0, 0], [0, 0.1], [1, 0], [0, 1], [1, 1]],
- max_edge_length=42, sparse=.5)
+rips = gudhi.RipsComplex(
+ points=[[0, 0], [0, 0.1], [1, 0], [0, 1], [1, 1]], max_edge_length=42, sparse=0.5
+)
simplex_tree = rips.create_simplex_tree(max_dimension=2)
diff --git a/src/cython/example/tangential_complex_plain_homology_from_off_file_example.py b/src/cython/example/tangential_complex_plain_homology_from_off_file_example.py
index 075149fb..456bc9eb 100755
--- a/src/cython/example/tangential_complex_plain_homology_from_off_file_example.py
+++ b/src/cython/example/tangential_complex_plain_homology_from_off_file_example.py
@@ -17,38 +17,44 @@ __author__ = "Vincent Rouvreau"
__copyright__ = "Copyright (C) 2016 Inria"
__license__ = "MIT"
-parser = argparse.ArgumentParser(description='TangentialComplex creation from '
- 'points read in a OFF file.',
- epilog='Example: '
- 'example/tangential_complex_plain_homology_from_off_file_example.py '
- '-f ../data/points/tore3D_300.off -i 3'
- '- Constructs a tangential complex with the '
- 'points from the given OFF file')
+parser = argparse.ArgumentParser(
+ description="TangentialComplex creation from " "points read in a OFF file.",
+ epilog="Example: "
+ "example/tangential_complex_plain_homology_from_off_file_example.py "
+ "-f ../data/points/tore3D_300.off -i 3"
+ "- Constructs a tangential complex with the "
+ "points from the given OFF file",
+)
parser.add_argument("-f", "--file", type=str, required=True)
parser.add_argument("-i", "--intrisic_dim", type=int, required=True)
-parser.add_argument("-b", "--band", type=float, default=0.)
-parser.add_argument('--no-diagram', default=False, action='store_true' , help='Flag for not to display the diagrams')
+parser.add_argument("-b", "--band", type=float, default=0.0)
+parser.add_argument(
+ "--no-diagram",
+ default=False,
+ action="store_true",
+ help="Flag for not to display the diagrams",
+)
args = parser.parse_args()
-with open(args.file, 'r') as f:
+with open(args.file, "r") as f:
first_line = f.readline()
- if (first_line == 'OFF\n') or (first_line == 'nOFF\n'):
+ if (first_line == "OFF\n") or (first_line == "nOFF\n"):
print("#####################################################################")
print("TangentialComplex creation from points read in a OFF file")
-
- tc = gudhi.TangentialComplex(intrisic_dim = args.intrisic_dim, off_file=args.file)
+
+ tc = gudhi.TangentialComplex(intrisic_dim=args.intrisic_dim, off_file=args.file)
tc.compute_tangential_complex()
st = tc.create_simplex_tree()
-
+
message = "Number of simplices=" + repr(st.num_simplices())
print(message)
-
- diag = st.persistence(persistence_dim_max = True)
-
+
+ diag = st.persistence(persistence_dim_max=True)
+
print("betti_numbers()=")
print(st.betti_numbers())
-
+
if args.no_diagram == False:
pplot = gudhi.plot_persistence_diagram(diag, band=args.band)
pplot.show()
diff --git a/src/cython/example/voronoi_graph_induced_complex.py b/src/cython/example/voronoi_graph_induced_complex.py
index 1e62fb60..38be6c92 100755
--- a/src/cython/example/voronoi_graph_induced_complex.py
+++ b/src/cython/example/voronoi_graph_induced_complex.py
@@ -17,24 +17,31 @@ __author__ = "Vincent Rouvreau"
__copyright__ = "Copyright (C) 2018 Inria"
__license__ = "MIT"
-parser = argparse.ArgumentParser(description='Voronoi GIC '
- 'from points read in a OFF file.',
- epilog='Example: '
- 'example/voronoi_graph_induced_complex.py '
- '-f ../data/points/human.off -n 700 -v'
- '- Constructs the Voronoi GIC with the '
- 'points from the given OFF file.')
+parser = argparse.ArgumentParser(
+ description="Voronoi GIC " "from points read in a OFF file.",
+ epilog="Example: "
+ "example/voronoi_graph_induced_complex.py "
+ "-f ../data/points/human.off -n 700 -v"
+ "- Constructs the Voronoi GIC with the "
+ "points from the given OFF file.",
+)
parser.add_argument("-f", "--file", type=str, required=True)
parser.add_argument("-n", "--subsample-nb-points", type=int, default=100)
-parser.add_argument("-v", "--verbose", default=False, action='store_true' , help='Flag for program verbosity')
+parser.add_argument(
+ "-v",
+ "--verbose",
+ default=False,
+ action="store_true",
+ help="Flag for program verbosity",
+)
args = parser.parse_args()
nerve_complex = gudhi.CoverComplex()
nerve_complex.set_verbose(args.verbose)
-if (nerve_complex.read_point_cloud(args.file)):
- nerve_complex.set_type('GIC')
+if nerve_complex.read_point_cloud(args.file):
+ nerve_complex.set_type("GIC")
nerve_complex.set_color_from_coordinate()
nerve_complex.set_graph_from_OFF()
nerve_complex.set_cover_from_Voronoi(args.subsample_nb_points)
@@ -42,12 +49,17 @@ if (nerve_complex.read_point_cloud(args.file)):
nerve_complex.plot_off()
simplex_tree = nerve_complex.create_simplex_tree()
nerve_complex.compute_PD()
- if (args.verbose):
- print('Iterator on graph induced complex simplices')
- result_str = 'Graph induced complex is of dimension ' + \
- repr(simplex_tree.dimension()) + ' - ' + \
- repr(simplex_tree.num_simplices()) + ' simplices - ' + \
- repr(simplex_tree.num_vertices()) + ' vertices.'
+ if args.verbose:
+ print("Iterator on graph induced complex simplices")
+ result_str = (
+ "Graph induced complex is of dimension "
+ + repr(simplex_tree.dimension())
+ + " - "
+ + repr(simplex_tree.num_simplices())
+ + " simplices - "
+ + repr(simplex_tree.num_vertices())
+ + " vertices."
+ )
print(result_str)
for filtered_value in simplex_tree.get_filtration():
print(filtered_value[0])
diff --git a/src/cython/example/witness_complex_from_nearest_landmark_table.py b/src/cython/example/witness_complex_from_nearest_landmark_table.py
index 5cf954bf..c04a82b2 100755
--- a/src/cython/example/witness_complex_from_nearest_landmark_table.py
+++ b/src/cython/example/witness_complex_from_nearest_landmark_table.py
@@ -18,11 +18,13 @@ __license__ = "MIT"
print("#####################################################################")
print("WitnessComplex creation from nearest landmark table")
-nearest_landmark_table = [[[0, 0.0], [1, 0.1], [2, 0.2], [3, 0.3], [4, 0.4]],
- [[1, 0.0], [2, 0.1], [3, 0.2], [4, 0.3], [0, 0.4]],
- [[2, 0.0], [3, 0.1], [4, 0.2], [0, 0.3], [1, 0.4]],
- [[3, 0.0], [4, 0.1], [0, 0.2], [1, 0.3], [2, 0.4]],
- [[4, 0.0], [0, 0.1], [1, 0.2], [2, 0.3], [3, 0.4]]]
+nearest_landmark_table = [
+ [[0, 0.0], [1, 0.1], [2, 0.2], [3, 0.3], [4, 0.4]],
+ [[1, 0.0], [2, 0.1], [3, 0.2], [4, 0.3], [0, 0.4]],
+ [[2, 0.0], [3, 0.1], [4, 0.2], [0, 0.3], [1, 0.4]],
+ [[3, 0.0], [4, 0.1], [0, 0.2], [1, 0.3], [2, 0.4]],
+ [[4, 0.0], [0, 0.1], [1, 0.2], [2, 0.3], [3, 0.4]],
+]
witness_complex = StrongWitnessComplex(nearest_landmark_table=nearest_landmark_table)
simplex_tree = witness_complex.create_simplex_tree(max_alpha_square=0.41)
diff --git a/src/cython/test/test_alpha_complex.py b/src/cython/test/test_alpha_complex.py
index a573115a..24f8bf53 100755
--- a/src/cython/test/test_alpha_complex.py
+++ b/src/cython/test/test_alpha_complex.py
@@ -16,9 +16,10 @@ __license__ = "MIT"
def test_empty_alpha():
- alpha_complex = AlphaComplex(points=[[0,0]])
+ alpha_complex = AlphaComplex(points=[[0, 0]])
assert alpha_complex.__is_defined() == True
+
def test_infinite_alpha():
point_list = [[0, 0], [1, 0], [0, 1], [1, 1]]
alpha_complex = AlphaComplex(points=point_list)
@@ -29,18 +30,28 @@ def test_infinite_alpha():
assert simplex_tree.num_simplices() == 11
assert simplex_tree.num_vertices() == 4
-
- assert simplex_tree.get_filtration() == \
- [([0], 0.0), ([1], 0.0), ([2], 0.0), ([3], 0.0),
- ([0, 1], 0.25), ([0, 2], 0.25), ([1, 3], 0.25),
- ([2, 3], 0.25), ([1, 2], 0.5), ([0, 1, 2], 0.5),
- ([1, 2, 3], 0.5)]
- assert simplex_tree.get_star([0]) == \
- [([0], 0.0), ([0, 1], 0.25), ([0, 1, 2], 0.5),
- ([0, 2], 0.25)]
- assert simplex_tree.get_cofaces([0], 1) == \
- [([0, 1], 0.25), ([0, 2], 0.25)]
-
+
+ assert simplex_tree.get_filtration() == [
+ ([0], 0.0),
+ ([1], 0.0),
+ ([2], 0.0),
+ ([3], 0.0),
+ ([0, 1], 0.25),
+ ([0, 2], 0.25),
+ ([1, 3], 0.25),
+ ([2, 3], 0.25),
+ ([1, 2], 0.5),
+ ([0, 1, 2], 0.5),
+ ([1, 2, 3], 0.5),
+ ]
+ assert simplex_tree.get_star([0]) == [
+ ([0], 0.0),
+ ([0, 1], 0.25),
+ ([0, 1, 2], 0.5),
+ ([0, 2], 0.25),
+ ]
+ assert simplex_tree.get_cofaces([0], 1) == [([0, 1], 0.25), ([0, 2], 0.25)]
+
assert point_list[0] == alpha_complex.get_point(0)
assert point_list[1] == alpha_complex.get_point(1)
assert point_list[2] == alpha_complex.get_point(2)
@@ -48,6 +59,7 @@ def test_infinite_alpha():
assert alpha_complex.get_point(4) == []
assert alpha_complex.get_point(125) == []
+
def test_filtered_alpha():
point_list = [[0, 0], [1, 0], [0, 1], [1, 1]]
filtered_alpha = AlphaComplex(points=point_list)
@@ -64,11 +76,15 @@ def test_filtered_alpha():
assert filtered_alpha.get_point(4) == []
assert filtered_alpha.get_point(125) == []
- assert simplex_tree.get_filtration() == \
- [([0], 0.0), ([1], 0.0), ([2], 0.0), ([3], 0.0),
- ([0, 1], 0.25), ([0, 2], 0.25), ([1, 3], 0.25),
- ([2, 3], 0.25)]
- 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)]
+ assert simplex_tree.get_filtration() == [
+ ([0], 0.0),
+ ([1], 0.0),
+ ([2], 0.0),
+ ([3], 0.0),
+ ([0, 1], 0.25),
+ ([0, 2], 0.25),
+ ([1, 3], 0.25),
+ ([2, 3], 0.25),
+ ]
+ 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)]
diff --git a/src/cython/test/test_bottleneck_distance.py b/src/cython/test/test_bottleneck_distance.py
index 409fba9c..f5f019b9 100755
--- a/src/cython/test/test_bottleneck_distance.py
+++ b/src/cython/test/test_bottleneck_distance.py
@@ -16,8 +16,8 @@ __license__ = "MIT"
def test_basic_bottleneck():
- diag1 = [[2.7, 3.7],[9.6, 14.],[34.2, 34.974], [3.,float('Inf')]]
- diag2 = [[2.8, 4.45],[9.5, 14.1],[3.2,float('Inf')]]
+ diag1 = [[2.7, 3.7], [9.6, 14.0], [34.2, 34.974], [3.0, float("Inf")]]
+ diag2 = [[2.8, 4.45], [9.5, 14.1], [3.2, float("Inf")]]
- assert(gudhi.bottleneck_distance(diag1, diag2, 0.1) == 0.8081763781405569)
- assert(gudhi.bottleneck_distance(diag1, diag2) == 0.75)
+ assert gudhi.bottleneck_distance(diag1, diag2, 0.1) == 0.8081763781405569
+ assert gudhi.bottleneck_distance(diag1, diag2) == 0.75
diff --git a/src/cython/test/test_cover_complex.py b/src/cython/test/test_cover_complex.py
index 1eb4ed37..8cd12272 100755
--- a/src/cython/test/test_cover_complex.py
+++ b/src/cython/test/test_cover_complex.py
@@ -20,61 +20,66 @@ def test_empty_constructor():
cover = CoverComplex()
assert cover.__is_defined() == True
+
def test_non_existing_file_read():
# Try to open a non existing file
cover = CoverComplex()
- assert (cover.read_point_cloud('pouetpouettralala.toubiloubabdou') == False)
+ assert cover.read_point_cloud("pouetpouettralala.toubiloubabdou") == False
+
def test_files_creation():
# Create test file
- cloud_file = open('cloud', 'w')
- cloud_file.write('nOFF\n3\n3 0 0\n0 0 0\n2 1 0\n4 0 0')
+ cloud_file = open("cloud", "w")
+ cloud_file.write("nOFF\n3\n3 0 0\n0 0 0\n2 1 0\n4 0 0")
cloud_file.close()
- cover_file = open('cover', 'w')
- cover_file.write('1\n2\n3')
+ cover_file = open("cover", "w")
+ cover_file.write("1\n2\n3")
cover_file.close()
- graph_file = open('graph', 'w')
- graph_file.write('0 1\n0 2\n1 2')
+ graph_file = open("graph", "w")
+ graph_file.write("0 1\n0 2\n1 2")
graph_file.close()
+
def test_nerve():
nerve = CoverComplex()
- nerve.set_type('Nerve')
- assert (nerve.read_point_cloud('cloud') == True)
+ nerve.set_type("Nerve")
+ assert nerve.read_point_cloud("cloud") == True
nerve.set_color_from_coordinate()
- nerve.set_graph_from_file('graph')
- nerve.set_cover_from_file('cover')
+ nerve.set_graph_from_file("graph")
+ nerve.set_cover_from_file("cover")
nerve.find_simplices()
stree = nerve.create_simplex_tree()
- assert (stree.num_vertices() == 3)
- assert ((stree.num_simplices() - stree.num_vertices()) == 0)
- assert (stree.dimension() == 0)
+ assert stree.num_vertices() == 3
+ assert (stree.num_simplices() - stree.num_vertices()) == 0
+ assert stree.dimension() == 0
+
def test_graph_induced_complex():
gic = CoverComplex()
- gic.set_type('GIC')
- assert (gic.read_point_cloud('cloud') == True)
+ gic.set_type("GIC")
+ assert gic.read_point_cloud("cloud") == True
gic.set_color_from_coordinate()
- gic.set_graph_from_file('graph')
- gic.set_cover_from_file('cover')
+ gic.set_graph_from_file("graph")
+ gic.set_cover_from_file("cover")
gic.find_simplices()
stree = gic.create_simplex_tree()
- assert (stree.num_vertices() == 3)
- assert ((stree.num_simplices() - stree.num_vertices()) == 4)
- assert (stree.dimension() == 2)
+ assert stree.num_vertices() == 3
+ assert (stree.num_simplices() - stree.num_vertices()) == 4
+ assert stree.dimension() == 2
+
def test_voronoi_graph_induced_complex():
gic = CoverComplex()
- gic.set_type('GIC')
- assert (gic.read_point_cloud('cloud') == True)
+ gic.set_type("GIC")
+ assert gic.read_point_cloud("cloud") == True
gic.set_color_from_coordinate()
- gic.set_graph_from_file('graph')
+ gic.set_graph_from_file("graph")
gic.set_cover_from_Voronoi(2)
gic.find_simplices()
stree = gic.create_simplex_tree()
- assert (stree.num_vertices() == 2)
- assert ((stree.num_simplices() - stree.num_vertices()) == 1)
- assert (stree.dimension() == 1)
+ assert stree.num_vertices() == 2
+ assert (stree.num_simplices() - stree.num_vertices()) == 1
+ assert stree.dimension() == 1
diff --git a/src/cython/test/test_cubical_complex.py b/src/cython/test/test_cubical_complex.py
index 6dc7fdfc..68f54fbe 100755
--- a/src/cython/test/test_cubical_complex.py
+++ b/src/cython/test/test_cubical_complex.py
@@ -21,65 +21,78 @@ def test_empty_constructor():
assert cub.__is_defined() == False
assert cub.__is_persistence_defined() == False
+
def test_non_existing_perseus_file_constructor():
# Try to open a non existing file
- cub = CubicalComplex(perseus_file='pouetpouettralala.toubiloubabdou')
+ cub = CubicalComplex(perseus_file="pouetpouettralala.toubiloubabdou")
assert cub.__is_defined() == False
assert cub.__is_persistence_defined() == False
+
def test_dimension_or_perseus_file_constructor():
# Create test file
- test_file = open('CubicalOneSphere.txt', 'w')
- test_file.write('2\n3\n3\n0\n0\n0\n0\n100\n0\n0\n0\n0\n')
+ test_file = open("CubicalOneSphere.txt", "w")
+ test_file.write("2\n3\n3\n0\n0\n0\n0\n100\n0\n0\n0\n0\n")
test_file.close()
# CubicalComplex can be constructed from dimensions and
# top_dimensional_cells OR from a Perseus-style file name.
- cub = CubicalComplex(dimensions=[3, 3],
- top_dimensional_cells = [1,2,3,4,5,6,7,8,9],
- perseus_file='CubicalOneSphere.txt')
+ cub = CubicalComplex(
+ dimensions=[3, 3],
+ top_dimensional_cells=[1, 2, 3, 4, 5, 6, 7, 8, 9],
+ perseus_file="CubicalOneSphere.txt",
+ )
assert cub.__is_defined() == False
assert cub.__is_persistence_defined() == False
- cub = CubicalComplex(top_dimensional_cells = [1,2,3,4,5,6,7,8,9],
- perseus_file='CubicalOneSphere.txt')
+ cub = CubicalComplex(
+ top_dimensional_cells=[1, 2, 3, 4, 5, 6, 7, 8, 9],
+ perseus_file="CubicalOneSphere.txt",
+ )
assert cub.__is_defined() == False
assert cub.__is_persistence_defined() == False
- cub = CubicalComplex(dimensions=[3, 3],
- perseus_file='CubicalOneSphere.txt')
+ cub = CubicalComplex(dimensions=[3, 3], perseus_file="CubicalOneSphere.txt")
assert cub.__is_defined() == False
assert cub.__is_persistence_defined() == False
+
def test_dimension_simple_constructor():
- cub = CubicalComplex(dimensions=[3, 3],
- top_dimensional_cells = [1,2,3,4,5,6,7,8,9])
+ cub = CubicalComplex(
+ dimensions=[3, 3], top_dimensional_cells=[1, 2, 3, 4, 5, 6, 7, 8, 9]
+ )
assert cub.__is_defined() == True
assert cub.__is_persistence_defined() == False
- assert cub.persistence() == [(0, (1.0, float('inf')))]
+ assert cub.persistence() == [(0, (1.0, float("inf")))]
assert cub.__is_persistence_defined() == True
assert cub.betti_numbers() == [1, 0, 0]
assert cub.persistent_betti_numbers(0, 1000) == [0, 0, 0]
+
def test_user_case_simple_constructor():
- cub = CubicalComplex(dimensions=[3, 3],
- top_dimensional_cells = [float('inf'), 0.,0.,0.,1.,0.,0.,0.,0.])
+ cub = CubicalComplex(
+ dimensions=[3, 3],
+ top_dimensional_cells=[float("inf"), 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0],
+ )
assert cub.__is_defined() == True
assert cub.__is_persistence_defined() == False
- assert cub.persistence() == [(1, (0.0, 1.0)), (0, (0.0, float('inf')))]
+ assert cub.persistence() == [(1, (0.0, 1.0)), (0, (0.0, float("inf")))]
assert cub.__is_persistence_defined() == True
- other_cub = CubicalComplex(dimensions=[3, 3],
- top_dimensional_cells = [1000., 0.,0.,0.,1.,0.,0.,0.,0.])
- assert other_cub.persistence() == [(1, (0.0, 1.0)), (0, (0.0, float('inf')))]
+ other_cub = CubicalComplex(
+ dimensions=[3, 3],
+ top_dimensional_cells=[1000.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0],
+ )
+ assert other_cub.persistence() == [(1, (0.0, 1.0)), (0, (0.0, float("inf")))]
+
def test_dimension_file_constructor():
# Create test file
- test_file = open('CubicalOneSphere.txt', 'w')
- test_file.write('2\n3\n3\n0\n0\n0\n0\n100\n0\n0\n0\n0\n')
+ test_file = open("CubicalOneSphere.txt", "w")
+ test_file.write("2\n3\n3\n0\n0\n0\n0\n100\n0\n0\n0\n0\n")
test_file.close()
- cub = CubicalComplex(perseus_file='CubicalOneSphere.txt')
+ cub = CubicalComplex(perseus_file="CubicalOneSphere.txt")
assert cub.__is_defined() == True
assert cub.__is_persistence_defined() == False
- assert cub.persistence() == [(1, (0.0, 100.0)), (0, (0.0, float('inf')))]
+ assert cub.persistence() == [(1, (0.0, 100.0)), (0, (0.0, float("inf")))]
assert cub.__is_persistence_defined() == True
assert cub.betti_numbers() == [1, 0, 0]
assert cub.persistent_betti_numbers(0, 1000) == [1, 0, 0]
diff --git a/src/cython/test/test_euclidean_witness_complex.py b/src/cython/test/test_euclidean_witness_complex.py
index c8510b1e..f5eae5fa 100755
--- a/src/cython/test/test_euclidean_witness_complex.py
+++ b/src/cython/test/test_euclidean_witness_complex.py
@@ -19,31 +19,60 @@ 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]]
+ 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)
+ 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)]
+ 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]]
+ 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)
+ 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)
@@ -51,9 +80,16 @@ def test_strong_witness_complex():
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)]
-
+ 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),
+ ]
diff --git a/src/cython/test/test_reader_utils.py b/src/cython/test/test_reader_utils.py
index 4b87adf2..4c7b32c2 100755
--- a/src/cython/test/test_reader_utils.py
+++ b/src/cython/test/test_reader_utils.py
@@ -18,60 +18,109 @@ __license__ = "MIT"
def test_non_existing_csv_file():
# Try to open a non existing file
- matrix = gudhi.read_lower_triangular_matrix_from_csv_file(csv_file='pouetpouettralala.toubiloubabdou')
+ matrix = gudhi.read_lower_triangular_matrix_from_csv_file(
+ csv_file="pouetpouettralala.toubiloubabdou"
+ )
assert matrix == []
+
def test_full_square_distance_matrix_csv_file():
# Create test file
- test_file = open('full_square_distance_matrix.csv', 'w')
- test_file.write('0;1;2;3;\n1;0;4;5;\n2;4;0;6;\n3;5;6;0;')
+ test_file = open("full_square_distance_matrix.csv", "w")
+ test_file.write("0;1;2;3;\n1;0;4;5;\n2;4;0;6;\n3;5;6;0;")
test_file.close()
- matrix = gudhi.read_lower_triangular_matrix_from_csv_file(csv_file="full_square_distance_matrix.csv")
+ matrix = gudhi.read_lower_triangular_matrix_from_csv_file(
+ csv_file="full_square_distance_matrix.csv"
+ )
assert matrix == [[], [1.0], [2.0, 4.0], [3.0, 5.0, 6.0]]
+
def test_lower_triangular_distance_matrix_csv_file():
# Create test file
- test_file = open('lower_triangular_distance_matrix.csv', 'w')
- test_file.write('\n1,\n2,3,\n4,5,6,\n7,8,9,10,')
+ test_file = open("lower_triangular_distance_matrix.csv", "w")
+ test_file.write("\n1,\n2,3,\n4,5,6,\n7,8,9,10,")
test_file.close()
- matrix = gudhi.read_lower_triangular_matrix_from_csv_file(csv_file="lower_triangular_distance_matrix.csv", separator=",")
+ matrix = gudhi.read_lower_triangular_matrix_from_csv_file(
+ csv_file="lower_triangular_distance_matrix.csv", separator=","
+ )
assert matrix == [[], [1.0], [2.0, 3.0], [4.0, 5.0, 6.0], [7.0, 8.0, 9.0, 10.0]]
+
def test_non_existing_persistence_file():
# Try to open a non existing file
- persistence = gudhi.read_persistence_intervals_grouped_by_dimension(persistence_file='pouetpouettralala.toubiloubabdou')
+ persistence = gudhi.read_persistence_intervals_grouped_by_dimension(
+ persistence_file="pouetpouettralala.toubiloubabdou"
+ )
assert persistence == []
- persistence = gudhi.read_persistence_intervals_in_dimension(persistence_file='pouetpouettralala.toubiloubabdou', only_this_dim=1)
+ persistence = gudhi.read_persistence_intervals_in_dimension(
+ persistence_file="pouetpouettralala.toubiloubabdou", only_this_dim=1
+ )
np.testing.assert_array_equal(persistence, [])
+
def test_read_persistence_intervals_without_dimension():
# Create test file
- test_file = open('persistence_intervals_without_dimension.pers', 'w')
- test_file.write('# Simple persistence diagram without dimension\n2.7 3.7\n9.6 14.\n34.2 34.974\n3. inf')
+ test_file = open("persistence_intervals_without_dimension.pers", "w")
+ test_file.write(
+ "# Simple persistence diagram without dimension\n2.7 3.7\n9.6 14.\n34.2 34.974\n3. inf"
+ )
test_file.close()
- persistence = gudhi.read_persistence_intervals_in_dimension(persistence_file='persistence_intervals_without_dimension.pers')
- np.testing.assert_array_equal(persistence, [(2.7, 3.7), (9.6, 14.), (34.2, 34.974), (3., float('Inf'))])
- persistence = gudhi.read_persistence_intervals_in_dimension(persistence_file='persistence_intervals_without_dimension.pers', only_this_dim=0)
+ persistence = gudhi.read_persistence_intervals_in_dimension(
+ persistence_file="persistence_intervals_without_dimension.pers"
+ )
+ np.testing.assert_array_equal(
+ persistence, [(2.7, 3.7), (9.6, 14.0), (34.2, 34.974), (3.0, float("Inf"))]
+ )
+ persistence = gudhi.read_persistence_intervals_in_dimension(
+ persistence_file="persistence_intervals_without_dimension.pers", only_this_dim=0
+ )
np.testing.assert_array_equal(persistence, [])
- persistence = gudhi.read_persistence_intervals_in_dimension(persistence_file='persistence_intervals_without_dimension.pers', only_this_dim=1)
+ persistence = gudhi.read_persistence_intervals_in_dimension(
+ persistence_file="persistence_intervals_without_dimension.pers", only_this_dim=1
+ )
np.testing.assert_array_equal(persistence, [])
- persistence = gudhi.read_persistence_intervals_grouped_by_dimension(persistence_file='persistence_intervals_without_dimension.pers')
- assert persistence == {-1: [(2.7, 3.7), (9.6, 14.0), (34.2, 34.974), (3.0, float('Inf'))]}
+ persistence = gudhi.read_persistence_intervals_grouped_by_dimension(
+ persistence_file="persistence_intervals_without_dimension.pers"
+ )
+ assert persistence == {
+ -1: [(2.7, 3.7), (9.6, 14.0), (34.2, 34.974), (3.0, float("Inf"))]
+ }
+
def test_read_persistence_intervals_with_dimension():
# Create test file
- test_file = open('persistence_intervals_with_dimension.pers', 'w')
- test_file.write('# Simple persistence diagram with dimension\n0 2.7 3.7\n1 9.6 14.\n3 34.2 34.974\n1 3. inf')
+ test_file = open("persistence_intervals_with_dimension.pers", "w")
+ test_file.write(
+ "# Simple persistence diagram with dimension\n0 2.7 3.7\n1 9.6 14.\n3 34.2 34.974\n1 3. inf"
+ )
test_file.close()
- persistence = gudhi.read_persistence_intervals_in_dimension(persistence_file='persistence_intervals_with_dimension.pers')
- np.testing.assert_array_equal(persistence, [(2.7, 3.7), (9.6, 14.), (34.2, 34.974), (3., float('Inf'))])
- persistence = gudhi.read_persistence_intervals_in_dimension(persistence_file='persistence_intervals_with_dimension.pers', only_this_dim=0)
+ persistence = gudhi.read_persistence_intervals_in_dimension(
+ persistence_file="persistence_intervals_with_dimension.pers"
+ )
+ np.testing.assert_array_equal(
+ persistence, [(2.7, 3.7), (9.6, 14.0), (34.2, 34.974), (3.0, float("Inf"))]
+ )
+ persistence = gudhi.read_persistence_intervals_in_dimension(
+ persistence_file="persistence_intervals_with_dimension.pers", only_this_dim=0
+ )
np.testing.assert_array_equal(persistence, [(2.7, 3.7)])
- persistence = gudhi.read_persistence_intervals_in_dimension(persistence_file='persistence_intervals_with_dimension.pers', only_this_dim=1)
- np.testing.assert_array_equal(persistence, [(9.6, 14.), (3., float('Inf'))])
- persistence = gudhi.read_persistence_intervals_in_dimension(persistence_file='persistence_intervals_with_dimension.pers', only_this_dim=2)
+ persistence = gudhi.read_persistence_intervals_in_dimension(
+ persistence_file="persistence_intervals_with_dimension.pers", only_this_dim=1
+ )
+ np.testing.assert_array_equal(persistence, [(9.6, 14.0), (3.0, float("Inf"))])
+ persistence = gudhi.read_persistence_intervals_in_dimension(
+ persistence_file="persistence_intervals_with_dimension.pers", only_this_dim=2
+ )
np.testing.assert_array_equal(persistence, [])
- persistence = gudhi.read_persistence_intervals_in_dimension(persistence_file='persistence_intervals_with_dimension.pers', only_this_dim=3)
+ persistence = gudhi.read_persistence_intervals_in_dimension(
+ persistence_file="persistence_intervals_with_dimension.pers", only_this_dim=3
+ )
np.testing.assert_array_equal(persistence, [(34.2, 34.974)])
- persistence = gudhi.read_persistence_intervals_grouped_by_dimension(persistence_file='persistence_intervals_with_dimension.pers')
- assert persistence == {0: [(2.7, 3.7)], 1: [(9.6, 14.0), (3.0, float('Inf'))], 3: [(34.2, 34.974)]}
+ persistence = gudhi.read_persistence_intervals_grouped_by_dimension(
+ persistence_file="persistence_intervals_with_dimension.pers"
+ )
+ assert persistence == {
+ 0: [(2.7, 3.7)],
+ 1: [(9.6, 14.0), (3.0, float("Inf"))],
+ 3: [(34.2, 34.974)],
+ }
diff --git a/src/cython/test/test_rips_complex.py b/src/cython/test/test_rips_complex.py
index 975b447a..d55ae22f 100755
--- a/src/cython/test/test_rips_complex.py
+++ b/src/cython/test/test_rips_complex.py
@@ -19,6 +19,7 @@ __license__ = "MIT"
def test_empty_rips():
rips_complex = RipsComplex()
+
def test_rips_from_points():
point_list = [[0, 0], [1, 0], [0, 1], [1, 1]]
rips_complex = RipsComplex(points=point_list, max_edge_length=42)
@@ -31,17 +32,30 @@ def test_rips_from_points():
assert simplex_tree.num_simplices() == 10
assert simplex_tree.num_vertices() == 4
- assert simplex_tree.get_filtration() == \
- [([0], 0.0), ([1], 0.0), ([2], 0.0), ([3], 0.0),
- ([0, 1], 1.0), ([0, 2], 1.0), ([1, 3], 1.0),
- ([2, 3], 1.0), ([1, 2], 1.4142135623730951),
- ([0, 3], 1.4142135623730951)]
- assert simplex_tree.get_star([0]) == \
- [([0], 0.0), ([0, 1], 1.0), ([0, 2], 1.0),
- ([0, 3], 1.4142135623730951)]
- assert simplex_tree.get_cofaces([0], 1) == \
- [([0, 1], 1.0), ([0, 2], 1.0),
- ([0, 3], 1.4142135623730951)]
+ assert simplex_tree.get_filtration() == [
+ ([0], 0.0),
+ ([1], 0.0),
+ ([2], 0.0),
+ ([3], 0.0),
+ ([0, 1], 1.0),
+ ([0, 2], 1.0),
+ ([1, 3], 1.0),
+ ([2, 3], 1.0),
+ ([1, 2], 1.4142135623730951),
+ ([0, 3], 1.4142135623730951),
+ ]
+ assert simplex_tree.get_star([0]) == [
+ ([0], 0.0),
+ ([0, 1], 1.0),
+ ([0, 2], 1.0),
+ ([0, 3], 1.4142135623730951),
+ ]
+ assert simplex_tree.get_cofaces([0], 1) == [
+ ([0, 1], 1.0),
+ ([0, 2], 1.0),
+ ([0, 3], 1.4142135623730951),
+ ]
+
def test_filtered_rips_from_points():
point_list = [[0, 0], [1, 0], [0, 1], [1, 1]]
@@ -55,10 +69,10 @@ def test_filtered_rips_from_points():
assert simplex_tree.num_simplices() == 8
assert simplex_tree.num_vertices() == 4
+
def test_sparse_filtered_rips_from_points():
point_list = [[0, 0], [1, 0], [0, 1], [1, 1]]
- filtered_rips = RipsComplex(points=point_list, max_edge_length=1.0,
- sparse=.001)
+ filtered_rips = RipsComplex(points=point_list, max_edge_length=1.0, sparse=0.001)
simplex_tree = filtered_rips.create_simplex_tree(max_dimension=1)
@@ -68,13 +82,10 @@ def test_sparse_filtered_rips_from_points():
assert simplex_tree.num_simplices() == 8
assert simplex_tree.num_vertices() == 4
+
def test_rips_from_distance_matrix():
- distance_matrix = [[0],
- [1, 0],
- [1, sqrt(2), 0],
- [sqrt(2), 1, 1, 0]]
- rips_complex = RipsComplex(distance_matrix=distance_matrix,
- max_edge_length=42)
+ distance_matrix = [[0], [1, 0], [1, sqrt(2), 0], [sqrt(2), 1, 1, 0]]
+ rips_complex = RipsComplex(distance_matrix=distance_matrix, max_edge_length=42)
simplex_tree = rips_complex.create_simplex_tree(max_dimension=1)
@@ -84,25 +95,34 @@ def test_rips_from_distance_matrix():
assert simplex_tree.num_simplices() == 10
assert simplex_tree.num_vertices() == 4
- assert simplex_tree.get_filtration() == \
- [([0], 0.0), ([1], 0.0), ([2], 0.0), ([3], 0.0),
- ([0, 1], 1.0), ([0, 2], 1.0), ([1, 3], 1.0),
- ([2, 3], 1.0), ([1, 2], 1.4142135623730951),
- ([0, 3], 1.4142135623730951)]
- assert simplex_tree.get_star([0]) == \
- [([0], 0.0), ([0, 1], 1.0), ([0, 2], 1.0),
- ([0, 3], 1.4142135623730951)]
- assert simplex_tree.get_cofaces([0], 1) == \
- [([0, 1], 1.0), ([0, 2], 1.0),
- ([0, 3], 1.4142135623730951)]
+ assert simplex_tree.get_filtration() == [
+ ([0], 0.0),
+ ([1], 0.0),
+ ([2], 0.0),
+ ([3], 0.0),
+ ([0, 1], 1.0),
+ ([0, 2], 1.0),
+ ([1, 3], 1.0),
+ ([2, 3], 1.0),
+ ([1, 2], 1.4142135623730951),
+ ([0, 3], 1.4142135623730951),
+ ]
+ assert simplex_tree.get_star([0]) == [
+ ([0], 0.0),
+ ([0, 1], 1.0),
+ ([0, 2], 1.0),
+ ([0, 3], 1.4142135623730951),
+ ]
+ assert simplex_tree.get_cofaces([0], 1) == [
+ ([0, 1], 1.0),
+ ([0, 2], 1.0),
+ ([0, 3], 1.4142135623730951),
+ ]
+
def test_filtered_rips_from_distance_matrix():
- distance_matrix = [[0],
- [1, 0],
- [1, sqrt(2), 0],
- [sqrt(2), 1, 1, 0]]
- filtered_rips = RipsComplex(distance_matrix=distance_matrix,
- max_edge_length=1.0)
+ distance_matrix = [[0], [1, 0], [1, sqrt(2), 0], [sqrt(2), 1, 1, 0]]
+ filtered_rips = RipsComplex(distance_matrix=distance_matrix, max_edge_length=1.0)
simplex_tree = filtered_rips.create_simplex_tree(max_dimension=1)
diff --git a/src/cython/test/test_simplex_tree.py b/src/cython/test/test_simplex_tree.py
index 5c903d93..8d8971c1 100755
--- a/src/cython/test/test_simplex_tree.py
+++ b/src/cython/test/test_simplex_tree.py
@@ -39,7 +39,7 @@ def test_insertion():
assert st.find([0]) == True
assert st.find([1]) == True
assert st.find([2]) == True
- assert st.find([3]) == False
+ assert st.find([3]) == False
assert st.find([0, 3]) == False
assert st.find([1, 3]) == False
assert st.find([2, 3]) == False
@@ -55,21 +55,36 @@ def test_insertion():
assert st.filtration([1]) == 0.0
# skeleton test
- assert st.get_skeleton(2) == \
- [([0, 1, 2], 4.0), ([0, 1], 0.0), ([0, 2], 4.0),
- ([0], 0.0), ([1, 2], 4.0), ([1], 0.0), ([2], 4.0)]
- assert st.get_skeleton(1) == \
- [([0, 1], 0.0), ([0, 2], 4.0), ([0], 0.0),
- ([1, 2], 4.0), ([1], 0.0), ([2], 4.0)]
- assert st.get_skeleton(0) == \
- [([0], 0.0), ([1], 0.0), ([2], 4.0)]
+ assert st.get_skeleton(2) == [
+ ([0, 1, 2], 4.0),
+ ([0, 1], 0.0),
+ ([0, 2], 4.0),
+ ([0], 0.0),
+ ([1, 2], 4.0),
+ ([1], 0.0),
+ ([2], 4.0),
+ ]
+ assert st.get_skeleton(1) == [
+ ([0, 1], 0.0),
+ ([0, 2], 4.0),
+ ([0], 0.0),
+ ([1, 2], 4.0),
+ ([1], 0.0),
+ ([2], 4.0),
+ ]
+ assert st.get_skeleton(0) == [([0], 0.0), ([1], 0.0), ([2], 4.0)]
# remove_maximal_simplex test
assert st.get_cofaces([0, 1, 2], 1) == []
st.remove_maximal_simplex([0, 1, 2])
- assert st.get_skeleton(2) == \
- [([0, 1], 0.0), ([0, 2], 4.0), ([0], 0.0),
- ([1, 2], 4.0), ([1], 0.0), ([2], 4.0)]
+ assert st.get_skeleton(2) == [
+ ([0, 1], 0.0),
+ ([0, 2], 4.0),
+ ([0], 0.0),
+ ([1, 2], 4.0),
+ ([1], 0.0),
+ ([2], 4.0),
+ ]
assert st.find([0, 1, 2]) == False
assert st.find([0, 1]) == True
assert st.find([0, 2]) == True
@@ -78,7 +93,10 @@ def test_insertion():
assert st.find([2]) == True
st.initialize_filtration()
- assert st.persistence(persistence_dim_max = True) == [(1, (4.0, float('inf'))), (0, (0.0, float('inf')))]
+ assert st.persistence(persistence_dim_max=True) == [
+ (1, (4.0, float("inf"))),
+ (0, (0.0, float("inf"))),
+ ]
assert st.__is_persistence_defined() == True
assert st.betti_numbers() == [1, 1]
@@ -88,6 +106,7 @@ def test_insertion():
assert st.persistent_betti_numbers(4.0, 10000.0) == [1, 1]
assert st.persistent_betti_numbers(9999.0, 10000.0) == [1, 1]
+
def test_expansion():
st = SimplexTree()
assert st.__is_defined() == True
@@ -107,21 +126,56 @@ def test_expansion():
assert st.num_vertices() == 7
assert st.num_simplices() == 17
- assert st.get_filtration() == [([2], 0.1), ([3], 0.1), ([2, 3], 0.1),
- ([0], 0.2), ([0, 2], 0.2), ([1], 0.3), ([0, 1], 0.3), ([1, 3], 0.4),
- ([1, 2], 0.5), ([5], 0.6), ([6], 0.6), ([5, 6], 0.6), ([4], 0.7),
- ([2, 4], 0.7), ([0, 3], 0.8), ([4, 6], 0.9), ([3, 6], 1.0)]
+ assert st.get_filtration() == [
+ ([2], 0.1),
+ ([3], 0.1),
+ ([2, 3], 0.1),
+ ([0], 0.2),
+ ([0, 2], 0.2),
+ ([1], 0.3),
+ ([0, 1], 0.3),
+ ([1, 3], 0.4),
+ ([1, 2], 0.5),
+ ([5], 0.6),
+ ([6], 0.6),
+ ([5, 6], 0.6),
+ ([4], 0.7),
+ ([2, 4], 0.7),
+ ([0, 3], 0.8),
+ ([4, 6], 0.9),
+ ([3, 6], 1.0),
+ ]
st.expansion(3)
assert st.num_vertices() == 7
assert st.num_simplices() == 22
st.initialize_filtration()
- assert st.get_filtration() == [([2], 0.1), ([3], 0.1), ([2, 3], 0.1),
- ([0], 0.2), ([0, 2], 0.2), ([1], 0.3), ([0, 1], 0.3), ([1, 3], 0.4),
- ([1, 2], 0.5), ([0, 1, 2], 0.5), ([1, 2, 3], 0.5), ([5], 0.6), ([6], 0.6),
- ([5, 6], 0.6), ([4], 0.7), ([2, 4], 0.7), ([0, 3], 0.8), ([0, 1, 3], 0.8),
- ([0, 2, 3], 0.8), ([0, 1, 2, 3], 0.8), ([4, 6], 0.9), ([3, 6], 1.0)]
+ assert st.get_filtration() == [
+ ([2], 0.1),
+ ([3], 0.1),
+ ([2, 3], 0.1),
+ ([0], 0.2),
+ ([0, 2], 0.2),
+ ([1], 0.3),
+ ([0, 1], 0.3),
+ ([1, 3], 0.4),
+ ([1, 2], 0.5),
+ ([0, 1, 2], 0.5),
+ ([1, 2, 3], 0.5),
+ ([5], 0.6),
+ ([6], 0.6),
+ ([5, 6], 0.6),
+ ([4], 0.7),
+ ([2, 4], 0.7),
+ ([0, 3], 0.8),
+ ([0, 1, 3], 0.8),
+ ([0, 2, 3], 0.8),
+ ([0, 1, 2, 3], 0.8),
+ ([4, 6], 0.9),
+ ([3, 6], 1.0),
+ ]
+
def test_automatic_dimension():
st = SimplexTree()
@@ -129,8 +183,8 @@ def test_automatic_dimension():
assert st.__is_persistence_defined() == False
# insert test
- assert st.insert([0,1,3], filtration=0.5) == True
- assert st.insert([0,1,2], filtration=1.) == True
+ assert st.insert([0, 1, 3], filtration=0.5) == True
+ assert st.insert([0, 1, 2], filtration=1.0) == True
assert st.num_vertices() == 4
assert st.num_simplices() == 11
@@ -150,6 +204,7 @@ def test_automatic_dimension():
assert st.dimension() == 1
assert st.upper_bound_dimension() == 1
+
def test_make_filtration_non_decreasing():
st = SimplexTree()
assert st.__is_defined() == True
@@ -171,25 +226,25 @@ def test_make_filtration_non_decreasing():
# Because of non decreasing property of simplex tree, { 0 } , { 1 } and
# { 0, 1 } are going to be set from value 2.0 to 1.0
- st.insert([0, 1, 6, 7], filtration=1.0);
+ st.insert([0, 1, 6, 7], filtration=1.0)
assert st.make_filtration_non_decreasing() == False
# Modify specific values to test make_filtration_non_decreasing
- st.assign_filtration([0,1,6,7], 0.8);
- st.assign_filtration([0,1,6], 0.9);
- st.assign_filtration([0,6], 0.6);
- st.assign_filtration([3,4,5], 1.2);
- st.assign_filtration([3,4], 1.1);
- st.assign_filtration([4,5], 1.99);
+ st.assign_filtration([0, 1, 6, 7], 0.8)
+ st.assign_filtration([0, 1, 6], 0.9)
+ st.assign_filtration([0, 6], 0.6)
+ st.assign_filtration([3, 4, 5], 1.2)
+ st.assign_filtration([3, 4], 1.1)
+ st.assign_filtration([4, 5], 1.99)
assert st.make_filtration_non_decreasing() == True
- assert st.filtration([0,1,6,7]) == 1.
- assert st.filtration([0,1,6]) == 1.
- assert st.filtration([0,1]) == 1.
- assert st.filtration([0]) == 1.
- assert st.filtration([1]) == 1.
- assert st.filtration([3,4,5]) == 2.
- assert st.filtration([3,4]) == 2.
- assert st.filtration([4,5]) == 2.
+ assert st.filtration([0, 1, 6, 7]) == 1.0
+ assert st.filtration([0, 1, 6]) == 1.0
+ assert st.filtration([0, 1]) == 1.0
+ assert st.filtration([0]) == 1.0
+ assert st.filtration([1]) == 1.0
+ assert st.filtration([3, 4, 5]) == 2.0
+ assert st.filtration([3, 4]) == 2.0
+ assert st.filtration([4, 5]) == 2.0
diff --git a/src/cython/test/test_subsampling.py b/src/cython/test/test_subsampling.py
index f7a97539..c816e203 100755
--- a/src/cython/test/test_subsampling.py
+++ b/src/cython/test/test_subsampling.py
@@ -28,45 +28,72 @@ def test_write_off_file_for_tests():
file.write("9.0 17.0\n")
file.close()
+
def test_simple_choose_n_farthest_points_with_a_starting_point():
- point_set = [[0,1], [0,0], [1,0], [1,1]]
+ point_set = [[0, 1], [0, 0], [1, 0], [1, 1]]
i = 0
for point in point_set:
# The iteration starts with the given starting point
- sub_set = gudhi.choose_n_farthest_points(points = point_set, nb_points = 1, starting_point = i)
+ sub_set = gudhi.choose_n_farthest_points(
+ points=point_set, nb_points=1, starting_point=i
+ )
assert sub_set[0] == point_set[i]
i = i + 1
# The iteration finds then the farthest
- sub_set = gudhi.choose_n_farthest_points(points = point_set, nb_points = 2, starting_point = 1)
+ sub_set = gudhi.choose_n_farthest_points(
+ points=point_set, nb_points=2, starting_point=1
+ )
assert sub_set[1] == point_set[3]
- sub_set = gudhi.choose_n_farthest_points(points = point_set, nb_points = 2, starting_point = 3)
+ sub_set = gudhi.choose_n_farthest_points(
+ points=point_set, nb_points=2, starting_point=3
+ )
assert sub_set[1] == point_set[1]
- sub_set = gudhi.choose_n_farthest_points(points = point_set, nb_points = 2, starting_point = 0)
+ sub_set = gudhi.choose_n_farthest_points(
+ points=point_set, nb_points=2, starting_point=0
+ )
assert sub_set[1] == point_set[2]
- sub_set = gudhi.choose_n_farthest_points(points = point_set, nb_points = 2, starting_point = 2)
+ sub_set = gudhi.choose_n_farthest_points(
+ points=point_set, nb_points=2, starting_point=2
+ )
assert sub_set[1] == point_set[0]
# Test the limits
- assert gudhi.choose_n_farthest_points(points = [], nb_points = 0, starting_point = 0) == []
- assert gudhi.choose_n_farthest_points(points = [], nb_points = 1, starting_point = 0) == []
- assert gudhi.choose_n_farthest_points(points = [], nb_points = 0, starting_point = 1) == []
- assert gudhi.choose_n_farthest_points(points = [], nb_points = 1, starting_point = 1) == []
+ assert (
+ gudhi.choose_n_farthest_points(points=[], nb_points=0, starting_point=0) == []
+ )
+ assert (
+ gudhi.choose_n_farthest_points(points=[], nb_points=1, starting_point=0) == []
+ )
+ assert (
+ gudhi.choose_n_farthest_points(points=[], nb_points=0, starting_point=1) == []
+ )
+ assert (
+ gudhi.choose_n_farthest_points(points=[], nb_points=1, starting_point=1) == []
+ )
# From off file test
- for i in range (0, 7):
- assert len(gudhi.choose_n_farthest_points(off_file = 'subsample.off', nb_points = i, starting_point = i)) == i
+ for i in range(0, 7):
+ assert (
+ len(
+ gudhi.choose_n_farthest_points(
+ off_file="subsample.off", nb_points=i, starting_point=i
+ )
+ )
+ == i
+ )
+
def test_simple_choose_n_farthest_points_randomed():
- point_set = [[0,1], [0,0], [1,0], [1,1]]
+ point_set = [[0, 1], [0, 0], [1, 0], [1, 1]]
# Test the limits
- assert gudhi.choose_n_farthest_points(points = [], nb_points = 0) == []
- assert gudhi.choose_n_farthest_points(points = [], nb_points = 1) == []
- assert gudhi.choose_n_farthest_points(points = point_set, nb_points = 0) == []
+ assert gudhi.choose_n_farthest_points(points=[], nb_points=0) == []
+ assert gudhi.choose_n_farthest_points(points=[], nb_points=1) == []
+ assert gudhi.choose_n_farthest_points(points=point_set, nb_points=0) == []
# Go furter than point set on purpose
- for iter in range(1,10):
- sub_set = gudhi.choose_n_farthest_points(points = point_set, nb_points = iter)
+ for iter in range(1, 10):
+ sub_set = gudhi.choose_n_farthest_points(points=point_set, nb_points=iter)
for sub in sub_set:
found = False
for point in point_set:
@@ -76,19 +103,23 @@ def test_simple_choose_n_farthest_points_randomed():
assert found == True
# From off file test
- for i in range (0, 7):
- assert len(gudhi.choose_n_farthest_points(off_file = 'subsample.off', nb_points = i)) == i
+ for i in range(0, 7):
+ assert (
+ len(gudhi.choose_n_farthest_points(off_file="subsample.off", nb_points=i))
+ == i
+ )
+
def test_simple_pick_n_random_points():
- point_set = [[0,1], [0,0], [1,0], [1,1]]
+ point_set = [[0, 1], [0, 0], [1, 0], [1, 1]]
# Test the limits
- assert gudhi.pick_n_random_points(points = [], nb_points = 0) == []
- assert gudhi.pick_n_random_points(points = [], nb_points = 1) == []
- assert gudhi.pick_n_random_points(points = point_set, nb_points = 0) == []
+ assert gudhi.pick_n_random_points(points=[], nb_points=0) == []
+ assert gudhi.pick_n_random_points(points=[], nb_points=1) == []
+ assert gudhi.pick_n_random_points(points=point_set, nb_points=0) == []
# Go furter than point set on purpose
- for iter in range(1,10):
- sub_set = gudhi.pick_n_random_points(points = point_set, nb_points = iter)
+ for iter in range(1, 10):
+ sub_set = gudhi.pick_n_random_points(points=point_set, nb_points=iter)
print(5)
for sub in sub_set:
found = False
@@ -99,23 +130,50 @@ def test_simple_pick_n_random_points():
assert found == True
# From off file test
- for i in range (0, 7):
- assert len(gudhi.pick_n_random_points(off_file = 'subsample.off', nb_points = i)) == i
+ for i in range(0, 7):
+ assert (
+ len(gudhi.pick_n_random_points(off_file="subsample.off", nb_points=i)) == i
+ )
+
def test_simple_sparsify_points():
- point_set = [[0,1], [0,0], [1,0], [1,1]]
+ point_set = [[0, 1], [0, 0], [1, 0], [1, 1]]
# Test the limits
# assert gudhi.sparsify_point_set(points = [], min_squared_dist = 0.0) == []
# assert gudhi.sparsify_point_set(points = [], min_squared_dist = 10.0) == []
- assert gudhi.sparsify_point_set(points = point_set, min_squared_dist = 0.0) == point_set
- assert gudhi.sparsify_point_set(points = point_set, min_squared_dist = 1.0) == point_set
- assert gudhi.sparsify_point_set(points = point_set, min_squared_dist = 2.0) == [[0,1], [1,0]]
- assert gudhi.sparsify_point_set(points = point_set, min_squared_dist = 2.01) == [[0,1]]
-
- assert len(gudhi.sparsify_point_set(off_file = 'subsample.off', min_squared_dist = 0.0)) == 7
- assert len(gudhi.sparsify_point_set(off_file = 'subsample.off', min_squared_dist = 30.0)) == 5
- assert len(gudhi.sparsify_point_set(off_file = 'subsample.off', min_squared_dist = 40.0)) == 4
- assert len(gudhi.sparsify_point_set(off_file = 'subsample.off', min_squared_dist = 90.0)) == 3
- assert len(gudhi.sparsify_point_set(off_file = 'subsample.off', min_squared_dist = 100.0)) == 2
- assert len(gudhi.sparsify_point_set(off_file = 'subsample.off', min_squared_dist = 325.0)) == 2
- assert len(gudhi.sparsify_point_set(off_file = 'subsample.off', min_squared_dist = 325.01)) == 1
+ assert gudhi.sparsify_point_set(points=point_set, min_squared_dist=0.0) == point_set
+ assert gudhi.sparsify_point_set(points=point_set, min_squared_dist=1.0) == point_set
+ assert gudhi.sparsify_point_set(points=point_set, min_squared_dist=2.0) == [
+ [0, 1],
+ [1, 0],
+ ]
+ assert gudhi.sparsify_point_set(points=point_set, min_squared_dist=2.01) == [[0, 1]]
+
+ assert (
+ len(gudhi.sparsify_point_set(off_file="subsample.off", min_squared_dist=0.0))
+ == 7
+ )
+ assert (
+ len(gudhi.sparsify_point_set(off_file="subsample.off", min_squared_dist=30.0))
+ == 5
+ )
+ assert (
+ len(gudhi.sparsify_point_set(off_file="subsample.off", min_squared_dist=40.0))
+ == 4
+ )
+ assert (
+ len(gudhi.sparsify_point_set(off_file="subsample.off", min_squared_dist=90.0))
+ == 3
+ )
+ assert (
+ len(gudhi.sparsify_point_set(off_file="subsample.off", min_squared_dist=100.0))
+ == 2
+ )
+ assert (
+ len(gudhi.sparsify_point_set(off_file="subsample.off", min_squared_dist=325.0))
+ == 2
+ )
+ assert (
+ len(gudhi.sparsify_point_set(off_file="subsample.off", min_squared_dist=325.01))
+ == 1
+ )
diff --git a/src/cython/test/test_tangential_complex.py b/src/cython/test/test_tangential_complex.py
index aa3820d1..0f828d8e 100755
--- a/src/cython/test/test_tangential_complex.py
+++ b/src/cython/test/test_tangential_complex.py
@@ -17,7 +17,7 @@ __license__ = "MIT"
def test_tangential():
point_list = [[0.0, 0.0], [1.0, 0.0], [0.0, 1.0], [1.0, 1.0]]
- tc = TangentialComplex(intrisic_dim = 1, points=point_list)
+ tc = TangentialComplex(intrisic_dim=1, points=point_list)
assert tc.__is_defined() == True
assert tc.num_vertices() == 4
assert tc.num_simplices() == 0
@@ -36,11 +36,17 @@ def test_tangential():
assert st.num_simplices() == 6
assert st.num_vertices() == 4
-
- assert st.get_filtration() == \
- [([0], 0.0), ([1], 0.0), ([2], 0.0), ([0, 2], 0.0), ([3], 0.0), ([1, 3], 0.0)]
+
+ assert st.get_filtration() == [
+ ([0], 0.0),
+ ([1], 0.0),
+ ([2], 0.0),
+ ([0, 2], 0.0),
+ ([3], 0.0),
+ ([1, 3], 0.0),
+ ]
assert st.get_cofaces([0], 1) == [([0, 2], 0.0)]
-
+
assert point_list[0] == tc.get_point(0)
assert point_list[1] == tc.get_point(1)
assert point_list[2] == tc.get_point(2)
diff --git a/src/cython/test/test_witness_complex.py b/src/cython/test/test_witness_complex.py
index 70511107..36ced635 100755
--- a/src/cython/test/test_witness_complex.py
+++ b/src/cython/test/test_witness_complex.py
@@ -19,32 +19,44 @@ def test_empty_witness_complex():
witness = WitnessComplex()
assert witness.__is_defined() == False
+
def test_witness_complex():
- nearest_landmark_table = [[[0, 0], [1, 1], [2, 2], [3, 3], [4, 4]],
- [[1, 0], [2, 1], [3, 2], [4, 3], [0, 4]],
- [[2, 0], [3, 1], [4, 2], [0, 3], [1, 4]],
- [[3, 0], [4, 1], [0, 2], [1, 3], [2, 4]],
- [[4, 0], [0, 1], [1, 2], [2, 3], [3, 4]]]
+ nearest_landmark_table = [
+ [[0, 0], [1, 1], [2, 2], [3, 3], [4, 4]],
+ [[1, 0], [2, 1], [3, 2], [4, 3], [0, 4]],
+ [[2, 0], [3, 1], [4, 2], [0, 3], [1, 4]],
+ [[3, 0], [4, 1], [0, 2], [1, 3], [2, 4]],
+ [[4, 0], [0, 1], [1, 2], [2, 3], [3, 4]],
+ ]
witness_complex = WitnessComplex(nearest_landmark_table=nearest_landmark_table)
simplex_tree = witness_complex.create_simplex_tree(max_alpha_square=4.1)
assert simplex_tree.num_vertices() == 5
assert simplex_tree.num_simplices() == 31
- simplex_tree = witness_complex.create_simplex_tree(max_alpha_square=4.1, limit_dimension=2)
+ simplex_tree = witness_complex.create_simplex_tree(
+ max_alpha_square=4.1, limit_dimension=2
+ )
assert simplex_tree.num_vertices() == 5
assert simplex_tree.num_simplices() == 25
-def test_strong_witness_complex():
- nearest_landmark_table = [[[0, 0], [1, 1], [2, 2], [3, 3], [4, 4]],
- [[1, 0], [2, 1], [3, 2], [4, 3], [0, 4]],
- [[2, 0], [3, 1], [4, 2], [0, 3], [1, 4]],
- [[3, 0], [4, 1], [0, 2], [1, 3], [2, 4]],
- [[4, 0], [0, 1], [1, 2], [2, 3], [3, 4]]]
- strong_witness_complex = StrongWitnessComplex(nearest_landmark_table=nearest_landmark_table)
+def test_strong_witness_complex():
+ nearest_landmark_table = [
+ [[0, 0], [1, 1], [2, 2], [3, 3], [4, 4]],
+ [[1, 0], [2, 1], [3, 2], [4, 3], [0, 4]],
+ [[2, 0], [3, 1], [4, 2], [0, 3], [1, 4]],
+ [[3, 0], [4, 1], [0, 2], [1, 3], [2, 4]],
+ [[4, 0], [0, 1], [1, 2], [2, 3], [3, 4]],
+ ]
+
+ strong_witness_complex = StrongWitnessComplex(
+ nearest_landmark_table=nearest_landmark_table
+ )
simplex_tree = strong_witness_complex.create_simplex_tree(max_alpha_square=4.1)
assert simplex_tree.num_vertices() == 5
assert simplex_tree.num_simplices() == 31
- simplex_tree = strong_witness_complex.create_simplex_tree(max_alpha_square=4.1, limit_dimension=2)
+ simplex_tree = strong_witness_complex.create_simplex_tree(
+ max_alpha_square=4.1, limit_dimension=2
+ )
assert simplex_tree.num_vertices() == 5
assert simplex_tree.num_simplices() == 25