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Function2d.h
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1// -*- LSST-C++ -*-
2/*
3 * Developed for the LSST Data Management System.
4 * This product includes software developed by the LSST Project
5 * (https://www.lsst.org).
6 * See the COPYRIGHT file at the top-level directory of this distribution
7 * for details of code ownership.
8 *
9 * This program is free software: you can redistribute it and/or modify
10 * it under the terms of the GNU General Public License as published by
11 * the Free Software Foundation, either version 3 of the License, or
12 * (at your option) any later version.
13 *
14 * This program is distributed in the hope that it will be useful,
15 * but WITHOUT ANY WARRANTY; without even the implied warranty of
16 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
17 * GNU General Public License for more details.
18 *
19 * You should have received a copy of the GNU General Public License
20 * along with this program. If not, see <https://www.gnu.org/licenses/>.
21 */
22#ifndef LSST_AFW_MATH_POLYNOMIALS_Function2d_h_INCLUDED
23#define LSST_AFW_MATH_POLYNOMIALS_Function2d_h_INCLUDED
24
25#include "Eigen/Core"
28
29namespace lsst { namespace geom { namespace polynomials {
30
41template <typename Basis_>
43public:
44
45 using iterator = double *;
46 using const_iterator = double const *;
47
49 using Basis = Basis_;
50
52 using Workspace = typename Basis::Workspace;
53
55 explicit Function2d(Basis const & basis) :
56 _basis(basis),
57 _coefficients(Eigen::VectorXd::Zero(basis.size()))
58 {}
59
61 explicit Function2d(Basis const & basis, Eigen::VectorXd const & coefficients) :
62 _basis(basis),
63 _coefficients(coefficients)
64 {
65 assert(basis.size() == static_cast<std::size_t>(_coefficients.size()));
66 }
67
69 template <typename Iterator>
70 explicit Function2d(Basis const & basis, Iterator first, Iterator last) :
71 _basis(basis),
72 _coefficients(basis.size())
73 {
74 assert(std::distance(first, last) == static_cast<std::ptrdiff_t>(basis.size()));
75 std::copy(first, last, &_coefficients[0]);
76 }
77
79 Function2d(Function2d const &) = default;
80
82 Function2d(Function2d &&) = default;
83
85 Function2d & operator=(Function2d const &) = default;
86
89
91
92 iterator begin() { return _coefficients.data(); }
93 iterator end() { return begin() + size(); }
94 const_iterator cbegin() const { return _coefficients.data(); }
95 const_iterator cend() const { return begin() + size(); }
96 const_iterator begin() const { return _coefficients.data(); }
97 const_iterator end() const { return begin() + size(); }
99
101 Basis const & getBasis() const { return _basis; }
102
104 std::size_t size() const { return _basis.size(); }
105
107 Workspace makeWorkspace() const { return _basis.makeWorkspace(); }
108
110 double operator()(geom::Point2D const & point, SumMode mode=SumMode::FAST) const {
111 return _basis.sumWith(point, _coefficients, mode);
112 }
113
115 double operator()(geom::Point2D const & point, Workspace & workspace, SumMode mode=SumMode::FAST) const {
116 return _basis.sumWith(point, _coefficients, workspace, mode);
117 }
118
120
125 double & operator[](std::size_t n) { return begin()[n]; }
126 double const & operator[](std::size_t n) const { return begin()[n]; }
128
130
137 // Return a block view to ensure the caller only modify the values, not the size.
138 return _coefficients.head(size());
139 }
140 auto getCoefficients() const { return _coefficients.head(size()); }
142
145 return Function2d<typename Basis::Scaled>(getBasis().scaled(scaling), _coefficients);
146 }
147
148private:
149 Basis _basis;
150 Eigen::VectorXd _coefficients;
151};
152
154template <typename Basis>
155Function2d<Basis> makeFunction2d(Basis const & basis, Eigen::VectorXd const & coefficients) {
156 return Function2d<Basis>(basis, coefficients);
157}
158
160template <typename Basis, typename Iterator>
161Function2d<Basis> makeFunction2d(Basis const & basis, Iterator first, Iterator last) {
162 return Function2d<Basis>(basis, first, last);
163}
164
165}}} // namespace lsst::geom::polynomials
166
167#endif // !LSST_AFW_MATH_POLYNOMIALS_Function2d_h_INCLUDED
A 2-d function defined by a series expansion and its coefficients.
Definition Function2d.h:42
Function2d(Basis const &basis, Eigen::VectorXd const &coefficients)
Definition Function2d.h:61
double operator()(geom::Point2D const &point, Workspace &workspace, SumMode mode=SumMode::FAST) const
Definition Function2d.h:115
Function2d< typename Basis::Scaled > scaled(Scaling2d const &scaling) const
Definition Function2d.h:144
double operator()(geom::Point2D const &point, SumMode mode=SumMode::FAST) const
Definition Function2d.h:110
Function2d(Basis const &basis)
Construct with zero-valued coefficients.
Definition Function2d.h:55
Function2d(Basis const &basis, Iterator first, Iterator last)
Definition Function2d.h:70
std::size_t size() const noexcept
Return the number of basis functions.
A 2-d separable affine transform that can be used to map one interval to another.
Definition Scaling2d.h:48
T copy(T... args)
T distance(T... args)
Low-level polynomials (including special polynomials) in C++.
Function2d< Basis > makeFunction2d(Basis const &basis, Eigen::VectorXd const &coefficients)
Create a Function2d of the appropriate type from a Basis2d and an Eigen object containing coefficient...
Definition Function2d.h:155
SumMode
Enum used to control how to sum polynomial terms.
Definition SafeSum.h:32
@ FAST
Summation using regular floating-point addition.
Definition SafeSum.h:34
Point< double, 2 > Point2D
Definition Point.h:324