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/* This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
* See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
* Author(s): Siargey Kachanovich
*
* Copyright (C) 2019 Inria
*
* Modification(s):
* - YYYY/MM Author: Description of the modification
*/
#ifndef CONCEPT_COXETER_TRIANGULATION_TRIANGULATION_FOR_MANIFOLD_TRACING_H_
#define CONCEPT_COXETER_TRIANGULATION_TRIANGULATION_FOR_MANIFOLD_TRACING_H_
#include <Eigen/Dense>
namespace Gudhi {
namespace coxeter_triangulation {
/** \brief The concept TriangulationForManifoldTracing describes the requirements
* for a type to implement a triangulation class used for example in Manifold_tracing.
*/
struct TriangulationForManifoldTracing {
/** \brief Type of the simplices in the triangulation.
* Needs to be a model of the concept SimplexInCoxeterTriangulation. */
typedef Simplex_handle;
/** \brief Type of the vertices in the triangulation.
* Needs to be a random-access range of integer values. */
typedef Vertex_handle;
/** \brief Returns the permutahedral representation of the simplex in the
* triangulation that contains a given query point 'p'.
* \tparam Point_d A class that represents a point in d-dimensional Euclidean space.
* The coordinates should be random-accessible. Needs to provide the method size().
* @param[in] point The query point.
*/
template <class Point_d>
Simplex_handle locate_point(const Point_d& point) const;
/** \brief Returns the Cartesian coordinates of the given vertex 'v'.
* @param[in] v The input vertex.
*/
Eigen::VectorXd cartesian_coordinates(const Vertex_handle& v) const;
/** \brief Returns the Cartesian coordinates of the barycenter of a given simplex 's'.
* @param[in] s The input simplex given by permutahedral representation.
*/
Eigen::VectorXd barycenter(const Simplex_handle& s) const;
};
} // namespace coxeter_triangulation
} // namespace Gudhi
#endif
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