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Diffstat (limited to 'cython/cython/cubical_complex.pyx')
-rw-r--r-- | cython/cython/cubical_complex.pyx | 197 |
1 files changed, 197 insertions, 0 deletions
diff --git a/cython/cython/cubical_complex.pyx b/cython/cython/cubical_complex.pyx new file mode 100644 index 00000000..ffc85130 --- /dev/null +++ b/cython/cython/cubical_complex.pyx @@ -0,0 +1,197 @@ +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 "Cubical_complex_interface.h" namespace "Gudhi": + cdef cppclass Bitmap_cubical_complex_base_interface "Gudhi::Cubical_complex::Cubical_complex_interface<>": + Bitmap_cubical_complex_base_interface(vector[unsigned] dimensions, vector[double] top_dimensional_cells) + Bitmap_cubical_complex_base_interface(string perseus_file) + int num_simplices() + int dimension() + +cdef extern from "Persistent_cohomology_interface.h" namespace "Gudhi": + cdef cppclass Cubical_complex_persistence_interface "Gudhi::Persistent_cohomology_interface<Gudhi::Cubical_complex::Cubical_complex_interface<>>": + Cubical_complex_persistence_interface(Bitmap_cubical_complex_base_interface * st, bool persistence_dim_max) + vector[pair[int, pair[double, double]]] get_persistence(int homology_coeff_field, double min_persistence) + vector[int] betti_numbers() + vector[int] persistent_betti_numbers(double from_value, double to_value) + vector[pair[double,double]] intervals_in_dimension(int dimension) + +# CubicalComplex python interface +cdef class CubicalComplex: + """The CubicalComplex is an example of a structured complex useful in + computational mathematics (specially rigorous numerics) and image + analysis. + """ + cdef Bitmap_cubical_complex_base_interface * thisptr + + cdef Cubical_complex_persistence_interface * pcohptr + + # Fake constructor that does nothing but documenting the constructor + def __init__(self, dimensions=None, top_dimensional_cells=None, + perseus_file=''): + """CubicalComplex constructor from dimensions and + top_dimensional_cells or from a Perseus-style file name. + + :param dimensions: A list of number of top dimensional cells. + :type dimensions: list of int + :param top_dimensional_cells: A list of cells filtration values. + :type top_dimensional_cells: list of double + + Or + + :param perseus_file: A Perseus-style file name. + :type perseus_file: string + """ + + # The real cython constructor + def __cinit__(self, dimensions=None, top_dimensional_cells=None, + perseus_file=''): + if (dimensions is not None) and (top_dimensional_cells is not None) and (perseus_file is ''): + self.thisptr = new Bitmap_cubical_complex_base_interface(dimensions, top_dimensional_cells) + elif (dimensions is None) and (top_dimensional_cells is None) and (perseus_file is not ''): + if os.path.isfile(perseus_file): + self.thisptr = new Bitmap_cubical_complex_base_interface(str.encode(perseus_file)) + else: + print("file " + perseus_file + " not found.") + else: + print("CubicalComplex can be constructed from dimensions and " + "top_dimensional_cells or from a Perseus-style file name.") + + def __dealloc__(self): + if self.thisptr != NULL: + del self.thisptr + if self.pcohptr != NULL: + del self.pcohptr + + def __is_defined(self): + """Returns true if CubicalComplex pointer is not NULL. + """ + return self.thisptr != NULL + + def __is_persistence_defined(self): + """Returns true if Persistence pointer is not NULL. + """ + return self.pcohptr != NULL + + def num_simplices(self): + """This function returns the number of simplices of the simplicial + complex. + + :returns: int -- the simplicial complex number of simplices. + """ + return self.thisptr.num_simplices() + + def dimension(self): + """This function returns the dimension of the simplicial complex. + + :returns: int -- the simplicial complex dimension. + """ + return self.thisptr.dimension() + + def persistence(self, homology_coeff_field=11, min_persistence=0): + """This function returns the persistence of the simplicial complex. + + :param homology_coeff_field: The homology coefficient field. Must be a + prime number + :type homology_coeff_field: int. + :param min_persistence: The minimum persistence value to take into + account (strictly greater than min_persistence). Default value is + 0.0. + Sets min_persistence to -1.0 to see all values. + :type min_persistence: float. + :returns: list of pairs(dimension, pair(birth, death)) -- the + persistence of the simplicial complex. + """ + if self.pcohptr != NULL: + del self.pcohptr + if self.thisptr != NULL: + self.pcohptr = new Cubical_complex_persistence_interface(self.thisptr, True) + cdef vector[pair[int, pair[double, double]]] persistence_result + if self.pcohptr != NULL: + persistence_result = self.pcohptr.get_persistence(homology_coeff_field, min_persistence) + return persistence_result + + def betti_numbers(self): + """This function returns the Betti numbers of the simplicial complex. + + :returns: list of int -- The Betti numbers ([B0, B1, ..., Bn]). + + :note: betti_numbers function requires persistence function to be + launched first. + """ + cdef vector[int] bn_result + if self.pcohptr != NULL: + bn_result = self.pcohptr.betti_numbers() + return bn_result + + def persistent_betti_numbers(self, from_value, to_value): + """This function returns the persistent Betti numbers of the + simplicial complex. + + :param from_value: The persistence birth limit to be added in the + numbers (persistent birth <= from_value). + :type from_value: float. + :param to_value: The persistence death limit to be added in the + numbers (persistent death > to_value). + :type to_value: float. + + :returns: list of int -- The persistent Betti numbers ([B0, B1, ..., + Bn]). + + :note: persistent_betti_numbers function requires persistence + function to be launched first. + """ + cdef vector[int] pbn_result + if self.pcohptr != NULL: + pbn_result = self.pcohptr.persistent_betti_numbers(<double>from_value, <double>to_value) + return pbn_result + + def persistence_intervals_in_dimension(self, dimension): + """This function returns the persistence intervals of the simplicial + complex in a specific dimension. + + :param dimension: The specific dimension. + :type from_value: int. + :returns: The persistence intervals. + :rtype: list of pair of float + + :note: intervals_in_dim function requires persistence function to be + launched first. + """ + cdef vector[pair[double,double]] intervals_result + if self.pcohptr != NULL: + intervals_result = self.pcohptr.intervals_in_dimension(dimension) + else: + print("intervals_in_dim function requires persistence function" + " to be launched first.") + return intervals_result |