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#!/usr/bin/env python
import gudhi
"""This file is part of the Gudhi Library. The Gudhi library
(Geometric Understanding in Higher Dimensions) is a generic C++
library for computational topology.
Author(s): Vincent Rouvreau
Copyright (C) 2016 INRIA
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
"""
__author__ = "Vincent Rouvreau"
__copyright__ = "Copyright (C) 2016 INRIA"
__license__ = "GPL v3"
print("#####################################################################")
print("AlphaComplex creation from points")
alpha_complex = gudhi.AlphaComplex(points=[[0, 0], [1, 0], [0, 1], [1, 1]],
max_alpha_square=60.0)
if alpha_complex.find([0, 1]):
print("[0, 1] Found !!")
else:
print("[0, 1] Not found...")
if alpha_complex.find([4]):
print("[4] Found !!")
else:
print("[4] Not found...")
if alpha_complex.insert([0, 1, 2], filtration=4.0):
print("[0, 1, 2] Inserted !!")
else:
print("[0, 1, 2] Not inserted...")
if alpha_complex.insert([0, 1, 4], filtration=4.0):
print("[0, 1, 4] Inserted !!")
else:
print("[0, 1, 4] Not inserted...")
if alpha_complex.find([4]):
print("[4] Found !!")
else:
print("[4] Not found...")
print("dimension=", alpha_complex.dimension())
print("filtered_tree=", alpha_complex.get_filtered_tree())
print("star([0])=", alpha_complex.get_star_tree([0]))
print("coface([0], 1)=", alpha_complex.get_coface_tree([0], 1))
print("point[0]=", alpha_complex.get_point(0))
print("point[5]=", alpha_complex.get_point(5))
print("betti_numbers()=")
print(alpha_complex.betti_numbers())
alpha_complex.initialize_filtration()
print("persistence(homology_coeff_field=2, min_persistence=0)=")
print(alpha_complex.persistence(homology_coeff_field=2, min_persistence=0))
print("betti_numbers()=")
print(alpha_complex.betti_numbers())
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