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Scaling1d.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
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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
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17 * GNU General Public License for more details.
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21 */
22#ifndef LSST_AFW_MATH_POLYNOMIALS_Scaling1d_h_INCLUDED
23#define LSST_AFW_MATH_POLYNOMIALS_Scaling1d_h_INCLUDED
24
25
26namespace lsst { namespace geom { namespace polynomials {
27
46class Scaling1d {
47public:
48
50 Scaling1d(double scale, double shift) noexcept:
51 _scale(scale),
52 _shift(shift)
53 {}
54
56 Scaling1d(Scaling1d const &) noexcept = default;
57
59 Scaling1d(Scaling1d &&) noexcept = default;
60
62 Scaling1d & operator=(Scaling1d const &) noexcept = default;
63
65 Scaling1d & operator=(Scaling1d &&) noexcept = default;
66
72 double applyForward(double x) const noexcept {
73 return (x + getShift())*getScale();
74 }
75
79 double applyInverse(double y) const noexcept {
80 return y/_scale - _shift;
81 }
82
84 double getScale() const noexcept { return _scale; }
85
87 double getShift() const noexcept { return _shift; }
88
96 Scaling1d inverted() const noexcept {
97 return Scaling1d(1.0/_scale, -_shift*_scale);
98 }
99
107 Scaling1d then(Scaling1d const & second) const noexcept {
108 return Scaling1d(getScale()*second.getScale(),
109 getShift() + second.getShift()/getScale());
110 }
111
112private:
113 double _scale;
114 double _shift;
115};
116
120inline Scaling1d makeUnitRangeScaling1d(double min, double max) noexcept {
121 return Scaling1d(2.0/(max - min), -0.5*(min + max));
122}
123
124}}} // namespace lsst::geom::polynomials
125
126#endif // !LSST_AFW_MATH_POLYNOMIALS_Scaling1d_h_INCLUDED
A 1-d affine transform that can be used to map one interval to another.
Definition Scaling1d.h:46
Scaling1d then(Scaling1d const &second) const noexcept
Compose two transforms.
Definition Scaling1d.h:107
double applyForward(double x) const noexcept
Apply the transform in the forward direction.
Definition Scaling1d.h:72
Scaling1d(Scaling1d const &) noexcept=default
Default copy constructor.
Scaling1d(double scale, double shift) noexcept
Construct from the given multiplicative scale and additive shift.
Definition Scaling1d.h:50
Scaling1d inverted() const noexcept
Invert the transform.
Definition Scaling1d.h:96
double getShift() const noexcept
Return the additive shift.
Definition Scaling1d.h:87
double getScale() const noexcept
Return the multiplicative scaling.
Definition Scaling1d.h:84
Scaling1d(Scaling1d &&) noexcept=default
Default move constructor.
double applyInverse(double y) const noexcept
Apply the inverse of the forward transform;.
Definition Scaling1d.h:79
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