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Function_iron_in_R3.h
/* 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 {
struct Function_iron_in_R3 {
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;
}
std::size_t amb_d() const { return 3; };
std::size_t cod_d() const { return 1; };
Eigen::VectorXd seed() const {
Eigen::Vector3d result(std::pow(4500, 1. / 6), 0, 0);
return result;
}
Function_iron_in_R3(Eigen::Vector3d off = Eigen::Vector3d::Zero()) : off_(off) {}
private:
Eigen::Vector3d off_;
};
} // namespace coxeter_triangulation
} // namespace Gudhi
#endif
Gudhi
Gudhi namespace.
Definition SimplicialComplexForAlpha.h:14
Gudhi::coxeter_triangulation::Function_iron_in_R3::cod_d
std::size_t cod_d() const
Returns the codomain dimension.
Definition Function_iron_in_R3.h:45
Gudhi::coxeter_triangulation::Function_iron_in_R3::amb_d
std::size_t amb_d() const
Returns the domain (ambient) dimension.
Definition Function_iron_in_R3.h:42
Gudhi::coxeter_triangulation::Function_iron_in_R3::seed
Eigen::VectorXd seed() const
Returns a point on the surface.
Definition Function_iron_in_R3.h:48
Gudhi::coxeter_triangulation::Function_iron_in_R3::Function_iron_in_R3
Function_iron_in_R3(Eigen::Vector3d off=Eigen::Vector3d::Zero())
Constructor of the function that defines a surface embedded in R^3 that ressembles an iron.
Definition Function_iron_in_R3.h:59
Gudhi::coxeter_triangulation::Function_iron_in_R3::operator()
Eigen::VectorXd operator()(const Eigen::VectorXd &p) const
Value of the function at a specified point.
Definition Function_iron_in_R3.h:33