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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 FUNCTIONS_FUNCTION_MOMENT_CURVE_IN_RD_H_
+#define FUNCTIONS_FUNCTION_MOMENT_CURVE_IN_RD_H_
+
+#include <cstdlib> // for std::size_t
+
+#include <Eigen/Dense>
+
+namespace Gudhi {
+
+namespace coxeter_triangulation {
+
+/**
+ * \class Function_moment_curve_in_Rd
+ * \brief A class for the function that defines an implicit moment curve
+ * in the d-dimensional Euclidean space.
+ */
+struct Function_moment_curve_in_Rd {
+ /** \brief Value of the function at a specified point.
+ * @param[in] p The input point. The dimension needs to coincide with the ambient dimension.
+ */
+ Eigen::VectorXd operator()(const Eigen::VectorXd& p) const {
+ Eigen::VectorXd result(k_);
+ for (std::size_t i = 1; i < d_; ++i) result(i - 1) = p(i) - p(0) * p(i - 1);
+ return result;
+ }
+
+ /** \brief Returns the domain (ambient) dimension.. */
+ std::size_t amb_d() const { return d_; };
+
+ /** \brief Returns the codomain dimension. */
+ std::size_t cod_d() const { return k_; };
+
+ /** \brief Returns a point on the moment curve. */
+ Eigen::VectorXd seed() const {
+ Eigen::VectorXd result = Eigen::VectorXd::Zero(d_);
+ return result;
+ }
+
+ /** @brief Returns the radius of the moment curve. */
+ double get_radius() const{
+ return r_;
+ }
+
+ /**
+ * \brief Constructor of the function that defines an implicit moment curve
+ * in the d-dimensional Euclidean space.
+ *
+ * @param[in] r Numerical parameter.
+ * @param[in] d The ambient dimension.
+ */
+ Function_moment_curve_in_Rd(double r, std::size_t d) : k_(d - 1), d_(d), r_(r) {}
+
+ /**
+ * \brief Constructor of the function that defines an implicit moment curve
+ * in the d-dimensional Euclidean space.
+ *
+ * @param[in] r Numerical parameter.
+ * @param[in] d The ambient dimension.
+ * @param[in] offset The offset of the moment curve.
+ */
+ Function_moment_curve_in_Rd(double r, std::size_t d, Eigen::VectorXd& offset)
+ : k_(d - 1), d_(d), r_(r), off_(offset) {}
+
+ private:
+ std::size_t k_, d_;
+ double r_;
+ Eigen::VectorXd off_;
+};
+
+} // namespace coxeter_triangulation
+
+} // namespace Gudhi
+
+#endif