Function_affine_plane_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_AFFINE_PLANE_IN_RD_H_
#define FUNCTIONS_FUNCTION_AFFINE_PLANE_IN_RD_H_
 
#include <cstdlib>  // for std::size_t
 
#include <Eigen/Dense>
 
namespace Gudhi {
 
namespace coxeter_triangulation {
 
struct Function_affine_plane_in_Rd {
  Eigen::VectorXd operator()(const Eigen::VectorXd& p) const {
    Eigen::VectorXd result = normal_matrix_.transpose() * (p - off_);
    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 = off_;
    return result;
  }
 
  Function_affine_plane_in_Rd(const Eigen::MatrixXd& normal_matrix, const Eigen::VectorXd& offset)
    : normal_matrix_(normal_matrix), d_(normal_matrix.rows()), k_(normal_matrix.cols()), off_(offset) {
    normal_matrix_.colwise().normalize();
  }
 
  Function_affine_plane_in_Rd(const Eigen::MatrixXd& normal_matrix)
      : normal_matrix_(normal_matrix),
        d_(normal_matrix.rows()),
        k_(normal_matrix.cols()),
        off_(Eigen::VectorXd::Zero(d_)) {
    normal_matrix_.colwise().normalize();
  }
 
 private:
  Eigen::MatrixXd normal_matrix_;
  std::size_t d_, k_;
  Eigen::VectorXd off_;
};
 
}  // namespace coxeter_triangulation
 
}  // namespace Gudhi
 
#endif