diff options
Diffstat (limited to 'concept/Persistent_cohomology')
-rw-r--r-- | concept/Persistent_cohomology/CoefficientField.h | 52 | ||||
-rw-r--r-- | concept/Persistent_cohomology/FilteredComplex.h | 150 | ||||
-rw-r--r-- | concept/Persistent_cohomology/PersistentHomology.h | 41 |
3 files changed, 0 insertions, 243 deletions
diff --git a/concept/Persistent_cohomology/CoefficientField.h b/concept/Persistent_cohomology/CoefficientField.h deleted file mode 100644 index 9d066cca..00000000 --- a/concept/Persistent_cohomology/CoefficientField.h +++ /dev/null @@ -1,52 +0,0 @@ - /* 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): Clément Maria - * - * Copyright (C) 2014 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/>. - */ - -/** \brief Concept describing the requirements for a class to represent - * a field of coefficients to compute persistent homology. - */ -struct CoefficientField { - -/** \brief Type of element of the field. - * - * Must be Assignable. */ - typedef unspecified Element; - -/** Default constructible. */ - CoefficientField(); - - void init(Element charac); - void init(Element charac_min, Element charac_max); - -/** Return the characteristic of the field. */ - Element characteristic(); -/** Return the element 1 of the field. */ - Element multiplicative_identity(); -/** Return the element 0 of the field. */ - Element additive_identity(); - -/** Assign: x <- x + y */ - void plus_equal(Element x, Element y); - -/** */ -//... inverse() - - };
\ No newline at end of file diff --git a/concept/Persistent_cohomology/FilteredComplex.h b/concept/Persistent_cohomology/FilteredComplex.h deleted file mode 100644 index 62b9002f..00000000 --- a/concept/Persistent_cohomology/FilteredComplex.h +++ /dev/null @@ -1,150 +0,0 @@ - /* 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): Clément Maria - * - * Copyright (C) 2014 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/>. - */ - -/** \brief The concept FilteredComplex describes the requirements - * for a type to implement a filtered cell complex, from which - * one can compute persistent homology via a model of the concept - * PersistentHomology. - */ -struct FilteredComplex -{ -/** Handle to specify a simplex. */ - typedef unspecified Simplex_handle; -/** \brief Type for the value of the filtration function. - * - * Must be comparable with <. */ - typedef unspecified Filtration_value; - -/** \brief Specifies the nature of the indexing scheme. - * - * is model of IndexingTag. */ - typedef unspecified Indexing_tag; - -/** Returns a Simplex_handle that is different from all simplex handles - * of the simplices. */ - Simplex_handle null_simplex(); -/** \brief Returns the number of simplices in the complex. - * - * Does not count the empty simplex. */ - size_t num_simplices(); -/** \brief Returns the dimension of a simplex. */ - int dimension(Simplex_handle sh); -/** \brief Returns the filtration value of a simplex. - * - * If sh is null_simplex(), returns the maximal value of the - * filtration function on the complex. */ - Filtration_value filtration(Simplex_handle sh); - -/** \brief Returns the simplex that has index idx in the filtration. - * - * This is only called on valid indices. */ - Simplex_handle simplex ( size_t idx ); -/** \brief Iterator on the simplices belonging to the - * boundary of a simplex. - * - * <CODE>value_type</CODE> must be 'Simplex_handle'. - */ -typedef unspecified Boundary_simplex_iterator; -/** \brief Range giving access to the simplices in the boundary of - * a simplex. - * - * .begin() and .end() return type Boundary_simplex_iterator. - */ -typedef unspecified Boundary_simplex_range; - -/** \brief Returns a range giving access to all simplices of the - * boundary of a simplex, i.e. - * the set of codimension 1 subsimplices of the Simplex. - * - * If the simplex is \f$[v_0, \cdots ,v_d]\f$, with canonical orientation - * induced by \f$ v_0 < \cdots < v_d \f$, the iterator enumerates the - * simplices of the boundary in the order: - * \f$[v_0,\cdots,\widehat{v_i},\cdots,v_d]\f$ for \f$i\f$ from 0 to d - * - * We note that the alternate sum of the simplices given by the iterator - * gives the chains corresponding to the boundary of the simplex.*/ -Boundary_simplex_range boundary_simplex_range(Simplex_handle sh); - -/** \brief Iterator over all simplices of the complex - * in the order of the indexing scheme. - * - * 'value_type' must be 'Simplex_handle'. - */ -typedef unspecified Filtration_simplex_iterator; -/** \brief Range over the simplices of the complex - * in the order of the filtration. - * - * .begin() and .end() return type Filtration_simplex_iterator.*/ -typedef unspecified Filtration_simplex_range; -/** \brief Returns a range over the simplices of the complex - * in the order of the filtration. - * - * .begin() and .end() return type Filtration_simplex_iterator.*/ -Filtration_simplex_range filtration_simplex_range(); - -/** \name Map interface - * Conceptually a `std::unordered_map<Simplex_handle,std::size_t>`. - * @{ */ -/** \brief Data stored for each simplex. - * - * Must be an integer type. */ - typedef unspecified Simplex_key; -/** \brief Returns a constant dummy number that is either negative, - * or at least as large as `num_simplices()`. Suggested value: -1. */ - Simplex_key null_key (); -/** \brief Returns the number stored for a simplex by `assign_key`. - * - * This is never called on null_simplex(). */ - Simplex_key key ( Simplex_handle sh ); -/** \brief Store a number for a simplex, which can later be retrieved with `key(sh)`. - * - * This is never called on null_simplex(). */ - void assign_key(Simplex_handle sh, Simplex_key n); -/** @} */ - - -/* \brief Iterator over the simplices of the complex, - * in an arbitrary order. - * - * 'value_type' must be 'Simplex_handle'.*/ -//typedef unspecified Complex_simplex_iterator; -//typedef unspecified Complex_simplex_range; - -/* -* Returns a range over all the simplices of a -* complex. -*/ -//Complex_simplex_range complex_simplex_range(); - -/*************************************************/ /** -* @details Compares the filtration values of simplices s and t -* -* @return -1 if s comes before t in the filtration, +1 -* if it comes later, and 0 if they come at the same time -* -* @note OPTIONAL -* @todo use an enum? Just a bool? -*/ -//int is_before_in_filtration(Simplex_handle s, Simplex_handle t); -/*************************************************/ - -}; diff --git a/concept/Persistent_cohomology/PersistentHomology.h b/concept/Persistent_cohomology/PersistentHomology.h deleted file mode 100644 index f9a78763..00000000 --- a/concept/Persistent_cohomology/PersistentHomology.h +++ /dev/null @@ -1,41 +0,0 @@ - /* 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): Clément Maria - * - * Copyright (C) 2014 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/>. - */ - -/** \brief Concept describing the requirements for a class to compute - * persistent homology. */ -struct PersistentHomology { - -/** \brief Type of filtered cell complex on which persistent homology - * is computed. - * - * Must be a model of concept FilteredComplex. - */ - typedef unspecified Filtered_complex; - -/** \brief Type of coefficients to be used for computing persistent - * homology. - * - * Must be a model of concept CoefficientField. - */ - typedef unspecified Coefficient_field; - - }; |