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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_IRON_IN_R3_H_
+#define FUNCTIONS_FUNCTION_IRON_IN_R3_H_
+
+#include <cstdlib> // for std::size_t
+#include <cmath> // for std::pow
+
+#include <Eigen/Dense>
+
+namespace Gudhi {
+
+namespace coxeter_triangulation {
+
+/**
+ * \class Function_iron_in_R3
+ * \brief A class that encodes the function, the zero-set of which is a surface
+ * embedded in R^3 that ressembles an iron.
+ */
+struct Function_iron_in_R3 {
+ /**
+ * \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 {
+ double x = p(0), y = p(1), z = p(2);
+ Eigen::VectorXd result(cod_d());
+ result(0) = -std::pow(x, 6) / 300. - std::pow(y, 6) / 300. - std::pow(z, 6) / 300. + x * y * y * z / 2.1 + y * y +
+ std::pow(z - 2, 4) - 1;
+ return result;
+ }
+
+ /** \brief Returns the domain (ambient) dimension. */
+ std::size_t amb_d() const { return 3; };
+
+ /** \brief Returns the codomain dimension. */
+ std::size_t cod_d() const { return 1; };
+
+ /** \brief Returns a point on the surface. */
+ Eigen::VectorXd seed() const {
+ Eigen::Vector3d result(std::pow(4500, 1. / 6), 0, 0);
+ return result;
+ }
+
+ /**
+ * \brief Constructor of the function that defines a surface embedded in R^3
+ * that ressembles an iron.
+ *
+ * @param[in] off Offset vector.
+ */
+ Function_iron_in_R3(Eigen::Vector3d off = Eigen::Vector3d::Zero()) : off_(off) {}
+
+ private:
+ Eigen::Vector3d off_;
+};
+
+} // namespace coxeter_triangulation
+
+} // namespace Gudhi
+
+#endif