LSST Applications  21.0.0-172-gfb10e10a+18fedfabac,22.0.0+297cba6710,22.0.0+80564b0ff1,22.0.0+8d77f4f51a,22.0.0+a28f4c53b1,22.0.0+dcf3732eb2,22.0.1-1-g7d6de66+2a20fdde0d,22.0.1-1-g8e32f31+297cba6710,22.0.1-1-geca5380+7fa3b7d9b6,22.0.1-12-g44dc1dc+2a20fdde0d,22.0.1-15-g6a90155+515f58c32b,22.0.1-16-g9282f48+790f5f2caa,22.0.1-2-g92698f7+dcf3732eb2,22.0.1-2-ga9b0f51+7fa3b7d9b6,22.0.1-2-gd1925c9+bf4f0e694f,22.0.1-24-g1ad7a390+a9625a72a8,22.0.1-25-g5bf6245+3ad8ecd50b,22.0.1-25-gb120d7b+8b5510f75f,22.0.1-27-g97737f7+2a20fdde0d,22.0.1-32-gf62ce7b1+aa4237961e,22.0.1-4-g0b3f228+2a20fdde0d,22.0.1-4-g243d05b+871c1b8305,22.0.1-4-g3a563be+32dcf1063f,22.0.1-4-g44f2e3d+9e4ab0f4fa,22.0.1-42-gca6935d93+ba5e5ca3eb,22.0.1-5-g15c806e+85460ae5f3,22.0.1-5-g58711c4+611d128589,22.0.1-5-g75bb458+99c117b92f,22.0.1-6-g1c63a23+7fa3b7d9b6,22.0.1-6-g50866e6+84ff5a128b,22.0.1-6-g8d3140d+720564cf76,22.0.1-6-gd805d02+cc5644f571,22.0.1-8-ge5750ce+85460ae5f3,master-g6e05de7fdc+babf819c66,master-g99da0e417a+8d77f4f51a,w.2021.48
LSST Data Management Base Package
polynomials.h
Go to the documentation of this file.
1 // -*- lsst-c++ -*-
2 /*
3  * LSST Data Management System
4  * Copyright 2015 LSST/AURA
5  *
6  * This product includes software developed by the
7  * LSST Project (http://www.lsst.org/).
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 LSST License Statement and
20  * the GNU General Public License along with this program. If not,
21  * see <http://www.lsstcorp.org/LegalNotices/>.
22  */
23 
24 #ifndef LSST_MEAS_MODELFIT_DETAIL_polynomials_h_INCLUDED
25 #define LSST_MEAS_MODELFIT_DETAIL_polynomials_h_INCLUDED
26 
27 #include "Eigen/Core"
28 
29 namespace lsst { namespace meas { namespace modelfit { namespace detail {
30 
36 template <int N>
37 class Vandermonde {
38 public:
39  typedef Eigen::Matrix<double,1,N> RowVector;
40 
43  static RowVector eval(double x);
44 
47  static RowVector differentiate1(double x);
48 
51  static RowVector differentiate2(double x);
52 
55  static RowVector moment(double x0, double x1, int m=0);
56 
57 };
58 
61 Eigen::Vector4d solveRampPoly(double v0, double v1, double x0, double x1, double s0, double s1);
62 
63 }}}} // namespace lsst::meas::modelfit::detail
64 
65 #endif // !LSST_MEAS_MODELFIT_DETAIL_polynomials_h_INCLUDED
double x
int m
Definition: SpanSet.cc:48
Class that computes rows of the Vandermonde matrix and related matrices; the dot product of these row...
Definition: polynomials.h:37
static RowVector differentiate1(double x)
Return a row vector whose product with a polynomial coefficient vector evaluates the first derivative...
static RowVector eval(double x)
Return a row vector that product with a polynomial coefficient vector[ evaluates the polynomial at x.
static RowVector moment(double x0, double x1, int m=0)
Return a row vector whose product with a polynomial coefficient vector computes the integral of p(x) ...
Eigen::Matrix< double, 1, N > RowVector
Definition: polynomials.h:39
static RowVector differentiate2(double x)
Return a row vector whose product with a polynomial coefficient vector evaluates the second derivativ...
Eigen::Vector4d solveRampPoly(double v0, double v1, double x0, double x1, double s0, double s1)
Solve for the coefficients of a cubic polynomial p(x) that goes from p(x0)=v0 to p(x1)=v1,...
A base class for image defects.