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Basis1d.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_Basis1d_h_INCLUDED
23#define LSST_AFW_MATH_POLYNOMIALS_Basis1d_h_INCLUDED
24#ifdef DOXYGEN
25
26namespace lsst { namespace geom { namespace polynomials {
27
36class Basis1d {
37public:
38
40 using Function = ...;
41
43 using Scaled = ...;
44
47
50
57 Scaled scaled(Scaling1d const & scaling) const;
58
83 template <typename Vector>
84 double sumWith(double x, Vector const & coefficients) const;
85
100 template <typename Vector>
101 void fill(double x, Vector && basis) const;
102
103};
104
105}}} // namespace lsst::geom::polynomials
106
107#endif // DOXYGEN
108#endif // !LSST_AFW_MATH_POLYNOMIALS_Basis1d_h_INCLUDED
A basis interface for 1-d series expansions.
Definition Basis1d.h:36
double sumWith(double x, Vector const &coefficients) const
Evaluate a basis expansion with the given coefficients.
std::size_t getOrder() const
Return the order of the basis.
... Function
A Function1d object that uses this basis.
Definition Basis1d.h:40
Scaled scaled(Scaling1d const &scaling) const
Return a scaled basis that delegates to a copy of this.
std::size_t size() const
Return the number of elements in the basis.
... Scaled
The type returned by scale().
Definition Basis1d.h:43
void fill(double x, Vector &&basis) const
Evaluate the basis at a given point.
A 1-d affine transform that can be used to map one interval to another.
Definition Scaling1d.h:46
Low-level polynomials (including special polynomials) in C++.