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Function_moment_curve_in_Rd.h
1/* This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
2 * See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
3 * Author(s): Siargey Kachanovich
4 *
5 * Copyright (C) 2019 Inria
6 *
7 * Modification(s):
8 * - YYYY/MM Author: Description of the modification
9 */
10
11#ifndef FUNCTIONS_FUNCTION_MOMENT_CURVE_IN_RD_H_
12#define FUNCTIONS_FUNCTION_MOMENT_CURVE_IN_RD_H_
13
14#include <cstdlib> // for std::size_t
15
16#include <Eigen/Dense>
17
18namespace Gudhi {
19
20namespace coxeter_triangulation {
21
31 Eigen::VectorXd operator()(const Eigen::VectorXd& p) const {
32 Eigen::VectorXd result(k_);
33 for (std::size_t i = 1; i < d_; ++i) result(i - 1) = p(i) - p(0) * p(i - 1);
34 return result;
35 }
36
38 std::size_t amb_d() const { return d_; };
39
41 std::size_t cod_d() const { return k_; };
42
44 Eigen::VectorXd seed() const {
45 Eigen::VectorXd result = Eigen::VectorXd::Zero(d_);
46 return result;
47 }
48
50 double get_radius() const{
51 return r_;
52 }
53
61 Function_moment_curve_in_Rd(double r, std::size_t d) : k_(d - 1), d_(d), r_(r) {}
62
71 Function_moment_curve_in_Rd(double r, std::size_t d, Eigen::VectorXd& offset)
72 : k_(d - 1), d_(d), r_(r), off_(offset) {}
73
74 private:
75 std::size_t k_, d_;
76 double r_;
77 Eigen::VectorXd off_;
78};
79
80} // namespace coxeter_triangulation
81
82} // namespace Gudhi
83
84#endif
A class for the function that defines an implicit moment curve in the d-dimensional Euclidean space.
Definition: Function_moment_curve_in_Rd.h:27
Function_moment_curve_in_Rd(double r, std::size_t d, Eigen::VectorXd &offset)
Constructor of the function that defines an implicit moment curve in the d-dimensional Euclidean spac...
Definition: Function_moment_curve_in_Rd.h:71
std::size_t cod_d() const
Returns the codomain dimension.
Definition: Function_moment_curve_in_Rd.h:41
double get_radius() const
Returns the radius of the moment curve.
Definition: Function_moment_curve_in_Rd.h:50
std::size_t amb_d() const
Returns the domain (ambient) dimension..
Definition: Function_moment_curve_in_Rd.h:38
Eigen::VectorXd seed() const
Returns a point on the moment curve.
Definition: Function_moment_curve_in_Rd.h:44
Function_moment_curve_in_Rd(double r, std::size_t d)
Constructor of the function that defines an implicit moment curve in the d-dimensional Euclidean spac...
Definition: Function_moment_curve_in_Rd.h:61
Eigen::VectorXd operator()(const Eigen::VectorXd &p) const
Value of the function at a specified point.
Definition: Function_moment_curve_in_Rd.h:31