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diff --git a/src/Coxeter_triangulation/include/gudhi/Functions/Function_moment_curve_in_Rd.h b/src/Coxeter_triangulation/include/gudhi/Functions/Function_moment_curve_in_Rd.h
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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 FUNCTIONS_FUNCTION_MOMENT_CURVE_IN_RD_H_
+#define FUNCTIONS_FUNCTION_MOMENT_CURVE_IN_RD_H_
+
+#include <gudhi/Functions/Function.h>
+#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.
+ *
+ * \ingroup coxeter_triangulation
+ */
+struct Function_moment_curve_in_Rd : public Function {
+
+/** \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 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)
+ : m_(1), 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)
+ : m_(1), k_(d-1), d_(d), r_(r), off_(offset) {}
+
+protected:
+ std::size_t m_, k_, d_;
+ double r_;
+ Eigen::VectorXd off_;
+};
+
+} // namespace coxeter_triangulation
+
+} // namespace Gudhi
+
+
+#endif