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Function_moment_curve_in_Rd.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_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 {
struct Function_moment_curve_in_Rd {
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;
}
std::size_t amb_d() const { return d_; };
std::size_t cod_d() const { return k_; };
Eigen::VectorXd seed() const {
Eigen::VectorXd result = Eigen::VectorXd::Zero(d_);
return result;
}
double get_radius() const{
return r_;
}
Function_moment_curve_in_Rd(double r, std::size_t d) : k_(d - 1), d_(d), r_(r) {}
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
Gudhi
Gudhi namespace.
Definition SimplicialComplexForAlpha.h:14
Gudhi::coxeter_triangulation::Function_moment_curve_in_Rd::Function_moment_curve_in_Rd
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
Gudhi::coxeter_triangulation::Function_moment_curve_in_Rd::cod_d
std::size_t cod_d() const
Returns the codomain dimension.
Definition Function_moment_curve_in_Rd.h:41
Gudhi::coxeter_triangulation::Function_moment_curve_in_Rd::get_radius
double get_radius() const
Returns the radius of the moment curve.
Definition Function_moment_curve_in_Rd.h:50
Gudhi::coxeter_triangulation::Function_moment_curve_in_Rd::amb_d
std::size_t amb_d() const
Returns the domain (ambient) dimension..
Definition Function_moment_curve_in_Rd.h:38
Gudhi::coxeter_triangulation::Function_moment_curve_in_Rd::seed
Eigen::VectorXd seed() const
Returns a point on the moment curve.
Definition Function_moment_curve_in_Rd.h:44
Gudhi::coxeter_triangulation::Function_moment_curve_in_Rd::Function_moment_curve_in_Rd
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
Gudhi::coxeter_triangulation::Function_moment_curve_in_Rd::operator()
Eigen::VectorXd operator()(const Eigen::VectorXd &p) const
Value of the function at a specified point.
Definition Function_moment_curve_in_Rd.h:31