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ScaledBasis1d.h
Go to the documentation of this file.
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_ScaledBasis1d_h_INCLUDED
23#define LSST_AFW_MATH_POLYNOMIALS_ScaledBasis1d_h_INCLUDED
24
27
28namespace lsst { namespace geom { namespace polynomials {
29
30template <typename Basis>
31class Function1d;
32
43template <typename Nested>
45public:
46
49
52
54 explicit ScaledBasis1d(Nested const & nested, Scaling1d const & scaling) :
55 _nested(nested),
56 _scaling(scaling)
57 {}
58
73 ScaledBasis1d(std::size_t order, double min, double max) :
74 _nested(order),
75 _scaling(makeUnitRangeScaling1d(min, max))
76 {}
77
79 ScaledBasis1d(ScaledBasis1d const &) = default;
80
83
86
89
91 Nested const & getNested() const noexcept { return _nested; }
92
94 Scaling1d const & getScaling() const noexcept { return _scaling; }
95
97 std::size_t getOrder() const { return getNested().getOrder(); }
98
100 std::size_t size() const { return getNested().size(); }
101
108 Scaled scaled(Scaling1d const & first) const {
109 return getNested().scaled(first.then(getScaling()));
110 }
111
130 template <typename Vector>
131 double sumWith(double x, Vector const & coefficients, SumMode mode=SumMode::FAST) const {
132 return getNested().sumWith(getScaling().applyForward(x), coefficients, mode);
133 }
134
145 template <typename Vector>
146 void fill(double x, Vector && basis) const {
147 return getNested().fill(getScaling().applyForward(x), std::forward<Vector>(basis));
148 }
149
150private:
151 Nested _nested;
152 Scaling1d _scaling;
153};
154
155}}} // namespace lsst::geom::polynomials
156
157#endif // !LSST_AFW_MATH_POLYNOMIALS_ScaledBasis1d_h_INCLUDED
A 1-d function defined by a series expansion and its coefficients.
Definition Function1d.h:42
Scaling1d const & getScaling() const noexcept
Return the scaling transform.
ScaledBasis1d & operator=(ScaledBasis1d &&)=default
Default move assignment.
ScaledBasis1d(std::size_t order, double min, double max)
Construct a basis that remaps the given interval to [-1, 1] before evaluating the nested basis.
void fill(double x, Vector &&basis) const
Evaluate the basis at a given point.
Nested const & getNested() const noexcept
Return the nested basis.
ScaledBasis1d(ScaledBasis1d const &)=default
Default copy constructor.
ScaledBasis1d(Nested const &nested, Scaling1d const &scaling)
Construct a scaled basis from a nested basis and a scaling transform.
Scaled scaled(Scaling1d const &first) const
Return a further-scaled basis with the same order.
std::size_t size() const
Return the number of elements in the basis.
double sumWith(double x, Vector const &coefficients, SumMode mode=SumMode::FAST) const
Evaluate a basis expansion with the given coefficients.
std::size_t getOrder() const
Return the order of the basis.
ScaledBasis1d & operator=(ScaledBasis1d const &)=default
Default copy assignment.
ScaledBasis1d(ScaledBasis1d &&)=default
Default move constructor.
A 1-d affine transform that can be used to map one interval to another.
Definition Scaling1d.h:46
T forward(T... args)
Low-level polynomials (including special polynomials) in C++.
Scaling1d makeUnitRangeScaling1d(double min, double max) noexcept
Return a Scaling1d that maps the interval [min, max] to [-1, 1].
Definition Scaling1d.h:120
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