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Basis2d.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 *
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20 * along with this program. If not, see <https://www.gnu.org/licenses/>.
21 */
22#ifndef LSST_AFW_MATH_POLYNOMIALS_Basis2d_h_INCLUDED
23#define LSST_AFW_MATH_POLYNOMIALS_Basis2d_h_INCLUDED
24#ifdef DOXYGEN
25
26namespace lsst { namespace geom { namespace polynomials {
27
36template <typename Basis1d>
37class Basis2d {
38public:
39
41 using Function = ...;
42
44 using Scaled = ...;
45
47 using Workspace = ...;
48
51
54
61 Scaled scaled(Scaling2d const & first) const;
62
65
79 template <typename Vector>
80 double sumWith(geom::Point2D const & point, Vector const & coefficients) const;
81
83 template <typename Vector>
84 double sumWith(geom::Point2D const & point, Vector const & coefficients, Workspace & workspace) const;
85
93 template <typename Vector>
94 void fill(geom::Point2D const & point, Vector && basis) const;
95
97 template <typename Vector>
98 void fill(geom::Point2D const & point, Vector && basis, Workspace & workspace) const;
99
100private:
101 Basis1d _basis1d;
102};
103
104}}} // namespace lsst::geom::polynomials
105
106#endif // DOXYGEN
107#endif // !LSST_AFW_MATH_POLYNOMIALS_Basis2d_h_INCLUDED
A basis interface for 1-d series expansions.
Definition Basis1d.h:36
A basis interface for 2-d series expansions.
Definition Basis2d.h:37
double sumWith(geom::Point2D const &point, Vector const &coefficients, Workspace &workspace) const
Evaluate a basis expansion with the given coefficients (external workspace version).
double sumWith(geom::Point2D const &point, Vector const &coefficients) const
Evaluate a basis expansion with the given coefficients.
... Function
A Function2d object that uses this basis.
Definition Basis2d.h:41
std::size_t size() const
Return the number of basis functions.
... Workspace
The type returned by makeWorkspace().
Definition Basis2d.h:47
... Scaled
The type returned by scale().
Definition Basis2d.h:44
void fill(geom::Point2D const &point, Vector &&basis) const
Evaluate the basis at a given point.
Workspace makeWorkspace() const
Allocate workspace that can be passed to sumWith() and fill() to avoid repeated memory allocations.
std::size_t getOrder() const
Return the maximum order of the basis.
Scaled scaled(Scaling2d const &first) const
Return a scaled basis that delegates to a copy of this.
void fill(geom::Point2D const &point, Vector &&basis, Workspace &workspace) const
Evaluate the basis at a given point (external workspace version).
A 2-d separable affine transform that can be used to map one interval to another.
Definition Scaling2d.h:48
Low-level polynomials (including special polynomials) in C++.
Point< double, 2 > Point2D
Definition Point.h:324