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diff --git a/src/Toplex_map/example/Simple_toplex_map.cpp b/src/Toplex_map/example/Simple_toplex_map.cpp
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--- a/src/Toplex_map/example/Simple_toplex_map.cpp
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-/* 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) 2017
- *
- * 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/>.
- */
-
-#include <gudhi/graph_simplicial_complex.h>
-#include "Fake_simplex_tree.h"
-
-#include <iostream>
-#include <utility> // for pair
-#include <vector>
-
-using Toplex_map = Gudhi::Fake_simplex_tree;
-using typeVectorVertex = std::vector< Toplex_map::Vertex_handle >;
-using typePairSimplexBool = std::pair< Toplex_map::Simplex_handle, bool >;
-
-int main(int argc, char * const argv[]) {
-
- // TEST OF INSERTION
- std::cout << "********************************************************************" << std::endl;
- std::cout << "EXAMPLE OF SIMPLE INSERTION" << std::endl;
- // Construct the Toplex_map
- Toplex_map t_map;
-
- /* Simplex to be inserted: */
- /* 1 */
- /* o */
- /* /X\ */
- /* o---o---o */
- /* 2 0 3 */
-
- // ++ FIRST
- std::cout << " * INSERT 0" << std::endl;
- typeVectorVertex firstSimplexVector = { 0 };
- typePairSimplexBool returnValue = t_map.insert_simplex_and_subfaces(firstSimplexVector, 0.1);
-
- if (returnValue.second == true) {
- std::cout << " + 0 INSERTED" << std::endl;
- } else {
- std::cout << " - 0 NOT INSERTED" << std::endl;
- }
-
- // ++ SECOND
- std::cout << " * INSERT 1" << std::endl;
- typeVectorVertex secondSimplexVector = { 1 };
- returnValue = t_map.insert_simplex_and_subfaces(secondSimplexVector, 0.1);
-
- if (returnValue.second == true) {
- std::cout << " + 1 INSERTED" << std::endl;
- } else {
- std::cout << " - 1 NOT INSERTED" << std::endl;
- }
-
- // ++ THIRD
- std::cout << " * INSERT (0,1)" << std::endl;
- typeVectorVertex thirdSimplexVector = { 0, 1 };
- returnValue =
- t_map.insert_simplex_and_subfaces(thirdSimplexVector, 0.2);
-
- if (returnValue.second == true) {
- std::cout << " + (0,1) INSERTED" << std::endl;
- } else {
- std::cout << " - (0,1) NOT INSERTED" << std::endl;
- }
-
- // ++ FOURTH
- std::cout << " * INSERT 2" << std::endl;
- typeVectorVertex fourthSimplexVector = { 2 };
- returnValue =
- t_map.insert_simplex_and_subfaces(fourthSimplexVector, 0.1);
-
- if (returnValue.second == true) {
- std::cout << " + 2 INSERTED" << std::endl;
- } else {
- std::cout << " - 2 NOT INSERTED" << std::endl;
- }
-
- // ++ FIFTH
- std::cout << " * INSERT (2,0)" << std::endl;
- typeVectorVertex fifthSimplexVector = { 2, 0 };
- returnValue =
- t_map.insert_simplex_and_subfaces(fifthSimplexVector, 0.2);
-
- if (returnValue.second == true) {
- std::cout << " + (2,0) INSERTED" << std::endl;
- } else {
- std::cout << " - (2,0) NOT INSERTED" << std::endl;
- }
-
- // ++ SIXTH
- std::cout << " * INSERT (2,1)" << std::endl;
- typeVectorVertex sixthSimplexVector = { 2, 1 };
- returnValue =
- t_map.insert_simplex_and_subfaces(sixthSimplexVector, 0.2);
-
- if (returnValue.second == true) {
- std::cout << " + (2,1) INSERTED" << std::endl;
- } else {
- std::cout << " - (2,1) NOT INSERTED" << std::endl;
- }
-
- // ++ SEVENTH
- std::cout << " * INSERT (2,1,0)" << std::endl;
- typeVectorVertex seventhSimplexVector = { 2, 1, 0 };
- returnValue =
- t_map.insert_simplex_and_subfaces(seventhSimplexVector, 0.3);
-
- if (returnValue.second == true) {
- std::cout << " + (2,1,0) INSERTED" << std::endl;
- } else {
- std::cout << " - (2,1,0) NOT INSERTED" << std::endl;
- }
-
- // ++ EIGHTH
- std::cout << " * INSERT 3" << std::endl;
- typeVectorVertex eighthSimplexVector = { 3 };
- returnValue =
- t_map.insert_simplex_and_subfaces(eighthSimplexVector, 0.1);
-
- if (returnValue.second == true) {
- std::cout << " + 3 INSERTED" << std::endl;
- } else {
- std::cout << " - 3 NOT INSERTED" << std::endl;
- }
-
- // ++ NINETH
- std::cout << " * INSERT (3,0)" << std::endl;
- typeVectorVertex ninethSimplexVector = { 3, 0 };
- returnValue =
- t_map.insert_simplex_and_subfaces(ninethSimplexVector, 0.2);
-
- if (returnValue.second == true) {
- std::cout << " + (3,0) INSERTED" << std::endl;
- } else {
- std::cout << " - (3,0) NOT INSERTED" << std::endl;
- }
-
- // ++ TENTH
- std::cout << " * INSERT 0 (already inserted)" << std::endl;
- typeVectorVertex tenthSimplexVector = { 0 };
- // With a different filtration value
- returnValue = t_map.insert_simplex_and_subfaces(tenthSimplexVector, 0.4);
-
- if (returnValue.second == true) {
- std::cout << " + 0 INSERTED" << std::endl;
- } else {
- std::cout << " - 0 NOT INSERTED" << std::endl;
- }
-
- // ++ ELEVENTH
- std::cout << " * INSERT (2,1,0) (already inserted)" << std::endl;
- typeVectorVertex eleventhSimplexVector = { 2, 1, 0 };
- returnValue =
- t_map.insert_simplex_and_subfaces(eleventhSimplexVector, 0.4);
-
- if (returnValue.second == true) {
- std::cout << " + (2,1,0) INSERTED" << std::endl;
- } else {
- std::cout << " - (2,1,0) NOT INSERTED" << std::endl;
- }
-
- // ++ GENERAL VARIABLE SET
-
- std::cout << "********************************************************************\n";
- // Display the Simplex_tree - Can not be done in the middle of 2 inserts
- std::cout << "* The complex contains " << t_map.num_vertices() << " vertices and " << t_map.num_simplices()
- << " simplices - dimension is " << t_map.dimension() << "\n";
- std::cout << "* Iterator on Simplices in the filtration, with [filtration value]:\n";
- for (auto f_simplex : t_map.filtration_simplex_range()) {
- if (f_simplex.size() > 0) {
- std::cout << " " << "[" << t_map.filtration(f_simplex) << "] ";
- for (auto vertex : t_map.simplex_vertex_range(f_simplex))
- std::cout << "(" << vertex << ")";
- std::cout << std::endl;
- }
- }
- // [0.1] 0
- // [0.1] 1
- // [0.1] 2
- // [0.1] 3
- // [0.2] 1 0
- // [0.2] 2 0
- // [0.2] 2 1
- // [0.2] 3 0
- // [0.3] 2 1 0
-
- std::cout << std::endl << std::endl;
-
- std::cout << "Iterator on skeleton[1]:" << std::endl;
- for (auto f_simplex : t_map.skeleton_simplex_range(1)) {
- if (f_simplex.size() > 0) {
- std::cout << " " << "[" << t_map.filtration(f_simplex) << "] ";
- for (auto vertex : t_map.simplex_vertex_range(f_simplex)) {
- std::cout << vertex << " ";
- }
- std::cout << std::endl;
- }
- }
-
- return 0;
-}