Translate.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_TRANSLATE_H_
12 #define FUNCTIONS_TRANSLATE_H_
13 
14 #include <cstdlib> // for std::size_t
15 
16 #include <Eigen/Dense>
17 
18 namespace Gudhi {
19 
20 namespace coxeter_triangulation {
21 
30 template <class Function_>
31 struct Translate {
36  Eigen::VectorXd operator()(const Eigen::VectorXd& p) const {
37  Eigen::VectorXd result = fun_(p - off_);
38  return result;
39  }
40 
42  std::size_t amb_d() const { return fun_.amb_d(); }
43 
45  std::size_t cod_d() const { return fun_.cod_d(); }
46 
48  Eigen::VectorXd seed() const {
49  Eigen::VectorXd result = fun_.seed();
50  result += off_;
51  return result;
52  }
53 
61  Translate(const Function_& function, const Eigen::VectorXd& off) : fun_(function), off_(off) {}
62 
63  private:
64  Function_ fun_;
65  Eigen::VectorXd off_;
66 };
67 
80 template <class Function_>
81 Translate<Function_> translate(const Function_& function, Eigen::VectorXd off) {
82  return Translate<Function_>(function, off);
83 }
84 
85 } // namespace coxeter_triangulation
86 
87 } // namespace Gudhi
88 
89 #endif
Translate< Function_ > translate(const Function_ &function, Eigen::VectorXd off)
Static constructor of a translated function.
Definition: Translate.h:81
Gudhi namespace.
Definition: SimplicialComplexForAlpha.h:14
Translates the zero-set of the function by a vector. The underlying function corresponds to f(x-off),...
Definition: Translate.h:31
std::size_t amb_d() const
Returns the domain (ambient) dimension.
Definition: Translate.h:42
Translate(const Function_ &function, const Eigen::VectorXd &off)
Constructor of the translated function.
Definition: Translate.h:61
Eigen::VectorXd seed() const
Returns a point on the zero-set.
Definition: Translate.h:48
std::size_t cod_d() const
Returns the codomain dimension.
Definition: Translate.h:45
Eigen::VectorXd operator()(const Eigen::VectorXd &p) const
Value of the function at a specified point.
Definition: Translate.h:36