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from cython cimport numeric
from libcpp.vector cimport vector
from libcpp.utility cimport pair
from libcpp.string cimport string
from libcpp cimport bool
import os
"""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"
cdef extern from "Alpha_complex_interface.h" namespace "Gudhi":
cdef cppclass Alpha_complex_interface "Gudhi::alpha_complex::Alpha_complex_interface":
Alpha_complex_interface(vector[vector[double]] points)
# bool from_file is a workaround for cython to find the correct signature
Alpha_complex_interface(string off_file, bool from_file)
vector[double] get_point(int vertex)
void create_simplex_tree(Simplex_tree_interface_full_featured* simplex_tree, double max_alpha_square)
# AlphaComplex python interface
cdef class AlphaComplex:
"""AlphaComplex is a simplicial complex constructed from the finite cells
of a Delaunay Triangulation.
The filtration value of each simplex is computed as the square of the
circumradius of the simplex if the circumsphere is empty (the simplex is
then said to be Gabriel), and as the minimum of the filtration values of
the codimension 1 cofaces that make it not Gabriel otherwise.
All simplices that have a filtration value strictly greater than a given
alpha squared value are not inserted into the complex.
.. note::
When Alpha_complex is constructed with an infinite value of alpha, the
complex is a Delaunay complex.
"""
cdef Alpha_complex_interface * thisptr
# Fake constructor that does nothing but documenting the constructor
def __init__(self, points=None, off_file=''):
"""AlphaComplex constructor.
:param points: A list of points in d-Dimension.
:type points: list of list of double
Or
:param off_file: An OFF file style name.
:type off_file: string
"""
# The real cython constructor
def __cinit__(self, points=None, off_file=''):
if off_file is not '':
if os.path.isfile(off_file):
self.thisptr = new Alpha_complex_interface(str.encode(off_file), True)
else:
print("file " + off_file + " not found.")
else:
if points is None:
# Empty Alpha construction
points=[]
self.thisptr = new Alpha_complex_interface(points)
def __dealloc__(self):
if self.thisptr != NULL:
del self.thisptr
def __is_defined(self):
"""Returns true if AlphaComplex pointer is not NULL.
"""
return self.thisptr != NULL
def get_point(self, vertex):
"""This function returns the point corresponding to a given vertex.
:param vertex: The vertex.
:type vertex: int
:rtype: list of float
:returns: the point.
"""
cdef vector[double] point = self.thisptr.get_point(vertex)
return point
def create_simplex_tree(self, max_alpha_square=float('inf')):
"""
:param max_alpha_square: The maximum alpha square threshold the
simplices shall not exceed. Default is set to infinity.
:type max_alpha_square: float
:returns: A simplex tree created from the Delaunay Triangulation.
:rtype: SimplexTree
"""
simplex_tree = SimplexTree()
self.thisptr.create_simplex_tree(simplex_tree.thisptr, max_alpha_square)
return simplex_tree
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