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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_TRANSLATE_H_
#define FUNCTIONS_TRANSLATE_H_
#include <cstdlib> // for std::size_t
#include <Eigen/Dense>
namespace Gudhi {
namespace coxeter_triangulation {
/**
* \class Translate
* \brief Translates the zero-set of the function by a vector.
* The underlying function corresponds to f(x-off), where off is the offset vector.
*
* \tparam Function_ The function template parameter. Should be a model of
* the concept FunctionForImplicitManifold.
*/
template <class Function_>
struct Translate {
/**
* \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 {
Eigen::VectorXd result = fun_(p - off_);
return result;
}
/** \brief Returns the domain (ambient) dimension. */
std::size_t amb_d() const { return fun_.amb_d(); }
/** \brief Returns the codomain dimension. */
std::size_t cod_d() const { return fun_.cod_d(); }
/** \brief Returns a point on the zero-set. */
Eigen::VectorXd seed() const {
Eigen::VectorXd result = fun_.seed();
result += off_;
return result;
}
/**
* \brief Constructor of the translated function.
*
* @param[in] function The function to be translated.
* @param[in] off The offset vector. The dimension should correspond to the
* domain (ambient) dimension of 'function'.
*/
Translate(const Function_& function, const Eigen::VectorXd& off) : fun_(function), off_(off) {}
private:
Function_ fun_;
Eigen::VectorXd off_;
};
/**
* \brief Static constructor of a translated function.
*
* @param[in] function The function to be translated.
* @param[in] off The offset vector. The dimension should correspond to the
* domain (ambient) dimension of 'function'.
*
* \tparam Function_ The function template parameter. Should be a model of
* the concept FunctionForImplicitManifold.
*
* \ingroup coxeter_triangulation
*/
template <class Function_>
Translate<Function_> translate(const Function_& function, Eigen::VectorXd off) {
return Translate<Function_>(function, off);
}
} // namespace coxeter_triangulation
} // namespace Gudhi
#endif
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