Added the files from the coxeter branch

1 files changed, 174 insertions, 0 deletions

diff --git a/src/Coxeter_triangulation/include/gudhi/IO/build_mesh_from_cell_complex.h b/src/Coxeter_triangulation/include/gudhi/IO/build_mesh_from_cell_complex.h
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+++ b/src/Coxeter_triangulation/include/gudhi/IO/build_mesh_from_cell_complex.h
@@ -0,0 +1,174 @@
+/*    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):       Siargey Kachanovich
+ *
+ *    Copyright (C) 2019 Inria
+ *
+ *    Modification(s):
+ *      - YYYY/MM Author: Description of the modification
+ */
+
+#ifndef IO_BUILD_MESH_FROM_CELL_COMPLEX_H_
+#define IO_BUILD_MESH_FROM_CELL_COMPLEX_H_
+
+#include <gudhi/IO/Mesh_medit.h>
+
+namespace Gudhi {
+
+namespace coxeter_triangulation {
+
+struct Configuration {
+  bool toggle_edges = true,
+    toggle_triangles = true,
+    toggle_tetrahedra = true;
+  std::size_t ref_edges = 1,
+    ref_triangles = 1,
+    ref_tetrahedra = 1;
+
+  Configuration(bool t_edges, bool t_triangles, bool t_tetrahedra,
+		std::size_t r_edges, std::size_t r_triangles, std::size_t r_tetrahedra)
+    : toggle_edges(t_edges), toggle_triangles(t_triangles), toggle_tetrahedra(t_tetrahedra),
+      ref_edges(r_edges), ref_triangles(r_triangles), ref_tetrahedra(r_tetrahedra) {}
+};
+
+
+template <class Hasse_cell,
+	  class Simplex_cell_map>
+void populate_mesh(Mesh_medit& output,
+		   Simplex_cell_map& sc_map,
+		   Configuration configuration,
+		   std::size_t amb_d,
+		   std::map<Hasse_cell*, std::size_t> vi_map) {
+  using Mesh_element_vertices = Mesh_medit::Mesh_elements::value_type::first_type;
+  std::map<Hasse_cell*, std::size_t> ci_map;
+  std::size_t index = vi_map.size() + 1; // current size of output.vertex_points
+  if (sc_map.size() >= 3) 
+    for (const auto& sc_pair: sc_map[2]) {
+      Eigen::VectorXd barycenter = Eigen::VectorXd::Zero(amb_d);
+      std::set<std::size_t> vertex_indices;
+      Hasse_cell* cell = sc_pair.second;
+      for (const auto& ei_pair: cell->get_boundary())
+	for (const auto& vi_pair: ei_pair.first->get_boundary())
+	  vertex_indices.emplace(vi_map[vi_pair.first]);
+      for (const std::size_t& v: vertex_indices)
+	barycenter += output.vertex_points[v-1];
+      ci_map.emplace(std::make_pair(cell, index++));
+      output.vertex_points.emplace_back((1./vertex_indices.size()) * barycenter);    
+#ifdef GUDHI_COX_OUTPUT_TO_HTML
+      std::string vlist = " (" + std::to_string(index-1) + ")";
+      for (const std::size_t& v: vertex_indices)
+	vlist += " " + std::to_string(v);
+      cell_vlist_map.emplace(std::make_pair(to_string(cell), vlist));
+#endif
+    }
+
+  if (configuration.toggle_edges && sc_map.size() >= 2)
+    for (const auto& sc_map: sc_map[1]) {
+      Hasse_cell* edge_cell = sc_map.second;
+      Mesh_element_vertices edge;
+      for (const auto& vi_pair: edge_cell->get_boundary())
+	edge.push_back(vi_map[vi_pair.first]);
+      output.edges.emplace_back(std::make_pair(edge, configuration.ref_edges));
+#ifdef GUDHI_COX_OUTPUT_TO_HTML
+      std::string vlist;
+      for (const std::size_t& v: edge)
+	vlist += " " + std::to_string(v);
+      cell_vlist_map.emplace(std::make_pair(to_string(edge_cell), vlist));
+#endif
+    }
+  
+  if (configuration.toggle_triangles && sc_map.size() >= 3)
+    for (const auto& sc_pair: sc_map[2]) {
+      for (const auto& ei_pair: sc_pair.second->get_boundary()) {
+	Mesh_element_vertices triangle(1, ci_map[sc_pair.second]);
+	for (const auto& vi_pair: ei_pair.first->get_boundary())
+	  triangle.push_back(vi_map[vi_pair.first]);
+	output.triangles.emplace_back(std::make_pair(triangle, configuration.ref_triangles));
+      }
+    }
+  
+  if (configuration.toggle_tetrahedra && sc_map.size() >= 4)
+    for (const auto& sc_pair: sc_map[3]) {
+      Eigen::VectorXd barycenter = Eigen::VectorXd::Zero(amb_d);
+      std::set<std::size_t> vertex_indices;
+      Hasse_cell* cell = sc_pair.second;
+      for (const auto& ci_pair: cell->get_boundary())
+	for (const auto& ei_pair: ci_pair.first->get_boundary())
+	  for (const auto& vi_pair: ei_pair.first->get_boundary())
+	    vertex_indices.emplace(vi_map[vi_pair.first]);
+      for (const std::size_t& v: vertex_indices)
+	barycenter += output.vertex_points[v-1];
+      output.vertex_points.emplace_back((1./vertex_indices.size()) * barycenter);
+#ifdef GUDHI_COX_OUTPUT_TO_HTML
+      std::string vlist = " (" + std::to_string(index) + ")";
+      for (const std::size_t& v: vertex_indices)
+	vlist += " " + std::to_string(v);
+      cell_vlist_map.emplace(std::make_pair(to_string(cell), vlist));
+#endif
+
+      for (const auto& ci_pair: cell->get_boundary())
+	for (const auto& ei_pair: ci_pair.first->get_boundary()) {
+	  Mesh_element_vertices tetrahedron = {index, ci_map[sc_pair.second]};
+	  for (const auto& vi_pair: ei_pair.first->get_boundary())
+	    tetrahedron.push_back(vi_map[vi_pair.first]);
+	  output.tetrahedra.emplace_back(std::make_pair(tetrahedron, configuration.ref_tetrahedra));
+	}
+      index++;
+    }  
+}
+
+template <class Cell_complex>
+Mesh_medit build_mesh_from_cell_complex(const Cell_complex& cell_complex,
+					Configuration i_configuration = Configuration(),
+					Configuration b_configuration = Configuration()) {
+  using Hasse_cell = typename Cell_complex::Hasse_cell;
+  Mesh_medit output;
+  std::map<Hasse_cell*, std::size_t> vi_map; // one for vertices, other for 2d-cells
+  std::size_t index = 1; // current size of output.vertex_points
+
+  if (cell_complex.cell_point_map().empty())
+    return output;
+  std::size_t amb_d = std::min((int) cell_complex.cell_point_map().begin()->second.size(), 3);
+  
+  for (const auto& cp_pair: cell_complex.cell_point_map()) {
+#ifdef GUDHI_COX_OUTPUT_TO_HTML
+    std::string vlist;
+    vlist += " " + std::to_string(index);
+    cell_vlist_map.emplace(std::make_pair(to_string(cp_pair.first), vlist));
+#endif
+    vi_map.emplace(std::make_pair(cp_pair.first, index++));
+    output.vertex_points.push_back(cp_pair.second);
+    output.vertex_points.back().conservativeResize(amb_d);
+  }
+  
+
+  populate_mesh(output, cell_complex.interior_simplex_cell_maps(), i_configuration, amb_d, vi_map);
+#ifdef GUDHI_COX_OUTPUT_TO_HTML
+  for (const auto& sc_map: cell_complex.interior_simplex_cell_maps())    
+    for (const auto& sc_pair: sc_map) {
+      std::string simplex = "I" + to_string(sc_pair.first);
+      std::string cell = to_string(sc_pair.second);
+      std::string vlist = cell_vlist_map.at(cell).substr(1);
+      simplex_vlist_map.emplace(std::make_pair(simplex, vlist));
+    }
+#endif  
+  populate_mesh(output, cell_complex.boundary_simplex_cell_maps(), b_configuration, amb_d, vi_map);  
+#ifdef GUDHI_COX_OUTPUT_TO_HTML
+  for (const auto& sc_map: cell_complex.boundary_simplex_cell_maps())    
+    for (const auto& sc_pair: sc_map) {
+      std::string simplex = "B" + to_string(sc_pair.first);
+      std::string cell = to_string(sc_pair.second);
+      std::string vlist = cell_vlist_map.at(cell).substr(1);
+      simplex_vlist_map.emplace(std::make_pair(simplex, vlist));
+    }
+#endif  
+  return output;
+}
+
+} // namespace coxeter_triangulation 
+
+} // namespace Gudhi
+
+#endif