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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): Siargey Kachanovich
*
* Copyright (C) 2019 Inria
*
* Modification(s):
* - YYYY/MM Author: Description of the modification
*/
#ifndef CONCEPT_COXETER_TRIANGULATION_FUNCTION_FOR_IMPLICIT_MANIFOLD_H_
#define CONCEPT_COXETER_TRIANGULATION_FUNCTION_FOR_IMPLICIT_MANIFOLD_H_
namespace Gudhi {
namespace coxeter_triangulation {
/** \brief The concept FunctionForImplicitManifold describes the requirements
* for a type to implement an implicit function class used for example in Manifold_tracing.
*/
struct FunctionForImplicitManifold {
/** \brief Value of the function at a specified point 'p'.
* @param[in] p The input point given by its Cartesian coordinates.
* Its size needs to be equal to amb_d().
*/
Eigen::VectorXd operator()(const Eigen::VectorXd& p) const;
/** \brief Returns the domain (ambient) dimension. */
std::size_t amb_d() const;
/** \brief Returns the codomain dimension. */
std::size_t cod_d() const;
/** \brief Returns a point on the zero-set of the function. */
Eigen::VectorXd seed() const;
};
} // namespace coxeter_triangulation
} // namespace Gudhi
#endif
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