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Diffstat (limited to 'src/Simplex_tree/concept/FiltrationValue.h')
-rw-r--r-- | src/Simplex_tree/concept/FiltrationValue.h | 35 |
1 files changed, 35 insertions, 0 deletions
diff --git a/src/Simplex_tree/concept/FiltrationValue.h b/src/Simplex_tree/concept/FiltrationValue.h new file mode 100644 index 00000000..79ca06cc --- /dev/null +++ b/src/Simplex_tree/concept/FiltrationValue.h @@ -0,0 +1,35 @@ + /* 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 Sophia Antipolis-Méditerranée (France) + * + * 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 Value type for a filtration function on a cell complex. + * + * A <EM>filtration</EM> of a cell complex (see FilteredComplex) is + * a function \f$f:\mathbf{K} \rightarrow \mathbb{R}\f$ satisfying \f$f(\tau)\leq + * f(\sigma)\f$ whenever \f$\tau \subseteq \sigma\f$. Ordering the simplices + * by increasing filtration values (breaking ties so as a simplex appears after + * its subsimplices of same filtration value) provides an indexing scheme + * (see IndexingTag). + */ + struct FiltrationValue { + /** \brief Operator < is a StrictWeakOrdering. */ + bool operator<(FiltrationValue f1, FiltrationValue f2); + }; |