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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_INTERSECTION_ORACLE_H_
#define CONCEPT_COXETER_TRIANGULATION_INTERSECTION_ORACLE_H_
#include <cstdlib> // for std::size_t
#include <Eigen/Dense>
namespace Gudhi {
namespace coxeter_triangulation {
/** \brief The concept IntersectionOracle describes the requirements
* for a type to implement an intersection oracle class used for example in Manifold_tracing.
*
*/
struct IntersectionOracle {
/** \brief Returns the domain (ambient) dimension of the underlying manifold. */
std::size_t amb_d() const;
/** \brief Returns the codomain dimension of the underlying manifold. */
std::size_t cod_d() const;
/** \brief Intersection query with the relative interior of the manifold.
*
* \details The returned structure Query_result contains the boolean value
* that is true only if the intersection point of the query simplex and
* the relative interior of the manifold exists, the intersection point
* and the face of the query simplex that contains
* the intersection point.
*
* \tparam Simplex_handle The class of the query simplex.
* Needs to be a model of the concept SimplexInCoxeterTriangulation.
* \tparam Triangulation The class of the triangulation.
* Needs to be a model of the concept TriangulationForManifoldTracing.
*
* @param[in] simplex The query simplex. The dimension of the simplex
* should be the same as the codimension of the manifold
* (the codomain dimension of the function).
* @param[in] triangulation The ambient triangulation. The dimension of
* the triangulation should be the same as the ambient dimension of the manifold
* (the domain dimension of the function).
*/
template <class Simplex_handle, class Triangulation>
Query_result<Simplex_handle> intersects(const Simplex_handle& simplex, const Triangulation& triangulation) const;
/** \brief Intersection query with the boundary of the manifold.
*
* \details The returned structure Query_result contains the boolean value
* that is true only if the intersection point of the query simplex and
* the boundary of the manifold exists, the intersection point
* and the face of the query simplex that contains
* the intersection point.
*
* \tparam Simplex_handle The class of the query simplex.
* Needs to be a model of the concept SimplexInCoxeterTriangulation.
* \tparam Triangulation The class of the triangulation.
* Needs to be a model of the concept TriangulationForManifoldTracing.
*
* @param[in] simplex The query simplex. The dimension of the simplex
* should be the same as the codimension of the boundary of the manifold
* (the codomain dimension of the function + 1).
* @param[in] triangulation The ambient triangulation. The dimension of
* the triangulation should be the same as the ambient dimension of the manifold
* (the domain dimension of the function).
*/
template <class Simplex_handle, class Triangulation>
Query_result<Simplex_handle> intersects_boundary(const Simplex_handle& simplex,
const Triangulation& triangulation) const;
/** \brief Returns true if the input point lies inside the piecewise-linear
* domain induced by the given ambient triangulation that defines the relative
* interior of the piecewise-linear approximation of the manifold.
*
* @param p The input point. Needs to have the same dimension as the ambient
* dimension of the manifold (the domain dimension of the function).
* @param triangulation The ambient triangulation. Needs to have the same
* dimension as the ambient dimension of the manifold
* (the domain dimension of the function).
*/
template <class Triangulation>
bool lies_in_domain(const Eigen::VectorXd& p, const Triangulation& triangulation) const {
Eigen::VectorXd pl_p = make_pl_approximation(domain_fun_, triangulation)(p);
return pl_p(0) < 0;
}
/** \brief Returns the function that defines the interior of the manifold */
const Function_& function() const;
};
} // namespace coxeter_triangulation
} // namespace Gudhi
#endif
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