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authorGard Spreemann <gspreemann@gmail.com>2018-02-02 13:51:45 +0100
committerGard Spreemann <gspreemann@gmail.com>2018-02-02 13:51:45 +0100
commit9899ae167f281d10b1684dfcd02c6838c5bf28df (patch)
treeceda62a40a9a8f731298832b1b4ab44ab0dd3a10 /concept
parent866f6ce614e9c09c97fed12c8c0c2c9fb84fad3f (diff)
GUDHI 2.1.0 as released by upstream in a tarball.upstream/2.1.0
Diffstat (limited to 'concept')
-rw-r--r--concept/Persistence_representations/Real_valued_topological_data.h51
-rw-r--r--concept/Persistence_representations/Topological_data_with_averages.h44
-rw-r--r--concept/Persistence_representations/Topological_data_with_distances.h49
-rw-r--r--concept/Persistence_representations/Topological_data_with_scalar_product.h42
-rw-r--r--concept/Persistence_representations/Vectorized_topological_data.h51
5 files changed, 237 insertions, 0 deletions
diff --git a/concept/Persistence_representations/Real_valued_topological_data.h b/concept/Persistence_representations/Real_valued_topological_data.h
new file mode 100644
index 00000000..1d3595ad
--- /dev/null
+++ b/concept/Persistence_representations/Real_valued_topological_data.h
@@ -0,0 +1,51 @@
+/* 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): Pawel Dlotko
+ *
+ * Copyright (C) 2016 INRIA (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/>.
+ */
+
+#ifndef CONCEPT_REAL_VALUED_TOPOLOGICAL_DATA_H_
+#define CONCEPT_REAL_VALUED_TOPOLOGICAL_DATA_H_
+
+namespace Gudhi {
+
+namespace Persistence_representations {
+
+/** \brief The concept Real_valued_topological_data describes the requirements
+ * for a type to implement a container that allows computations of its projections to R.
+ */
+class Real_valued_topological_data {
+ public:
+ /**
+* Typically there are various ways data can be projected to R. This function gives us the number of functions for
+* vectorization provided by a given class.
+ **/
+ size_t number_of_projections_to_R();
+ /**
+* This is a function to compute the projection from this container to reals. The parameter of a function have to
+* be between 0 and the value returned by number_of_projections_to_R().
+**/
+ double project_to_R(size_t number_of_projection);
+};
+
+} // namespace Persistence_representations
+
+} // namespace Gudhi
+
+#endif // CONCEPT_REAL_VALUED_TOPOLOGICAL_DATA_H_
diff --git a/concept/Persistence_representations/Topological_data_with_averages.h b/concept/Persistence_representations/Topological_data_with_averages.h
new file mode 100644
index 00000000..9ebd105f
--- /dev/null
+++ b/concept/Persistence_representations/Topological_data_with_averages.h
@@ -0,0 +1,44 @@
+
+/* 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): Pawel Dlotko
+ *
+ * Copyright (C) 2016 INRIA (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/>.
+ */
+
+#ifndef CONCEPT_TOPOLOGICAL_DATA_WITH_AVERAGES_H_
+#define CONCEPT_TOPOLOGICAL_DATA_WITH_AVERAGES_H_
+
+namespace Gudhi {
+
+namespace Persistence_representations {
+
+/** \brief The concept Topological_data_with_averages describes the requirements
+ * for a type to implement a container that allows computations of averages.
+ * Note that the average object after being computed is stored in *this.
+ */
+class Topological_data_with_averages {
+ public:
+ void compute_average(const std::vector<Topological_data_with_averages*>& to_average);
+};
+
+} // namespace Persistence_representations
+
+} // namespace Gudhi
+
+#endif // CONCEPT_TOPOLOGICAL_DATA_WITH_AVERAGES_H_
diff --git a/concept/Persistence_representations/Topological_data_with_distances.h b/concept/Persistence_representations/Topological_data_with_distances.h
new file mode 100644
index 00000000..a6a62307
--- /dev/null
+++ b/concept/Persistence_representations/Topological_data_with_distances.h
@@ -0,0 +1,49 @@
+/* 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): Pawel Dlotko
+ *
+ * Copyright (C) 2016 INRIA (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/>.
+ */
+
+#ifndef CONCEPT_TOPOLOGICAL_DATA_WITH_DISTANCES_H_
+#define CONCEPT_TOPOLOGICAL_DATA_WITH_DISTANCES_H_
+
+namespace Gudhi {
+
+namespace Persistence_representations {
+
+/** \brief The concept Topological_data_with_distances describes the requirements
+ * for a type to implement a container that allows computations of distance to another contained of that type.
+ * \details
+ * The second parameter of the distance function allow to declare power of a distance. The exact meaning of that
+ * number will be different for different distances. A few examples are given below:
+ * In case of p-Wasserstein distance, the power is equal to p. power = std::limit<double>::max() for bottleneck
+ * distance.
+ *
+ * In case of L^p landscape distance, the power is equal to p. s
+ */
+class Topological_data_with_distances {
+ public:
+ double distance(const Topological_data_with_distances& second, double power = 1);
+};
+
+} // namespace Persistence_representations
+
+} // namespace Gudhi
+
+#endif // CONCEPT_TOPOLOGICAL_DATA_WITH_DISTANCES_H_
diff --git a/concept/Persistence_representations/Topological_data_with_scalar_product.h b/concept/Persistence_representations/Topological_data_with_scalar_product.h
new file mode 100644
index 00000000..2e506ca9
--- /dev/null
+++ b/concept/Persistence_representations/Topological_data_with_scalar_product.h
@@ -0,0 +1,42 @@
+/* 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): Pawel Dlotko
+ *
+ * Copyright (C) 2016 INRIA (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/>.
+ */
+
+#ifndef CONCEPT_TOPOLOGICAL_DATA_WITH_SCALAR_PRODUCT_H_
+#define CONCEPT_TOPOLOGICAL_DATA_WITH_SCALAR_PRODUCT_H_
+
+namespace Gudhi {
+
+namespace Persistence_representations {
+
+/** \brief The concept Topological_data_with_scalar_product describes the requirements
+ * for a type to implement a container that allows computations of scalar products.
+ */
+class Topological_data_with_scalar_product {
+ public:
+ double compute_scalar_product(const Topological_data_with_scalar_product& second);
+};
+
+} // namespace Persistence_representations
+
+} // namespace Gudhi
+
+#endif // CONCEPT_TOPOLOGICAL_DATA_WITH_SCALAR_PRODUCT_H_
diff --git a/concept/Persistence_representations/Vectorized_topological_data.h b/concept/Persistence_representations/Vectorized_topological_data.h
new file mode 100644
index 00000000..b6b5b109
--- /dev/null
+++ b/concept/Persistence_representations/Vectorized_topological_data.h
@@ -0,0 +1,51 @@
+/* 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): Pawel Dlotko
+ *
+ * Copyright (C) 2016 INRIA (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/>.
+ */
+
+#ifndef CONCEPT_VECTORIZED_TOPOLOGICAL_DATA_H_
+#define CONCEPT_VECTORIZED_TOPOLOGICAL_DATA_H_
+
+namespace Gudhi {
+
+namespace Persistence_representations {
+
+/** \brief The concept Vectorized_topological_data describes the requirements
+ * for a type to implement a container that allows vectorization.
+ */
+class Vectorized_topological_data {
+ public:
+ /**
+ * There are various ways data can be vectorized. This function give us the number of functions for vectorization
+ *provided by a given class.
+ **/
+ size_t number_of_vectorize_functions();
+ /**
+ * This is a function to vectorize given container. The parameter of a function have to be between 0 and the value
+ *returned by number_of_vectorize_functions().
+ **/
+ std::vector<double> vectorize(int number_of_function);
+};
+
+} // namespace Persistence_representations
+
+} // namespace Gudhi
+
+#endif // CONCEPT_VECTORIZED_TOPOLOGICAL_DATA_H_