LSST Applications 24.1.0,g0b6bd0c080+e62dec11b2,g17e5ecfddb+2f99ec5bff,g1d67935e3f+aeba7d5376,g33b6a96d52+e24369602a,g38293774b4+ac198e9f13,g396055baef+a9fc9fe987,g3b44f30a73+6ed7a0bf37,g45a0052f0b+d5a0214cf8,g48ccf36440+89c08d0516,g5c4744a4d9+9e5e24d318,g6c8d09e9e7+60190443eb,g8b9e2231ea+b61c7debcc,g9c8be92ad0+d5a0214cf8,g9d27549199+9e5e24d318,ga1cf026fa3+ac198e9f13,ga32aa97882+7403ac30ac,ga786bb30fb+8c170280cc,gaa63f70f4e+a45a85e39e,gabf319e997+a153293d79,gb22ebf5633+adf3385ca5,gbec6a3398f+aeba7d5376,gc75b51116a+846e1f9efd,gca4adeb000+d5a0214cf8,gd01420fc67+aeba7d5376,gd82bb2a289+52e0a19ca3,gd877ba84e5+aeba7d5376,gd95cd18b76+8a093cac5b,gdb4cecd868+a5301bf5a0,gecc7e12556+d5a0214cf8,gf14d0188e3+a153293d79,gf3ee170dca+60190443eb,gf4ac96e456+a153293d79,gf51b12da82+3612beda7c,gf8609944d8+9adb1d6802,gf9f5ea5b4d+ac198e9f13,gff490e6085+9d6cf01b2b
LSST Data Management Base Package
Loading...
Searching...
No Matches
constants.h
Go to the documentation of this file.
1// -*- LSST-C++ -*-
2
3/*
4 * LSST Data Management System
5 * Copyright 2008, 2009, 2010, 2011 LSST Corporation.
6 *
7 * This product includes software developed by the
8 * LSST Project (http://www.lsst.org/).
9 *
10 * This program is free software: you can redistribute it and/or modify
11 * it under the terms of the GNU General Public License as published by
12 * the Free Software Foundation, either version 3 of the License, or
13 * (at your option) any later version.
14 *
15 * This program is distributed in the hope that it will be useful,
16 * but WITHOUT ANY WARRANTY; without even the implied warranty of
17 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
18 * GNU General Public License for more details.
19 *
20 * You should have received a copy of the LSST License Statement and
21 * the GNU General Public License along with this program. If not,
22 * see <http://www.lsstcorp.org/LegalNotices/>.
23 */
24
25#ifndef LSST_AFW_MATH_SHAPELETS_CONSTANTS_H
26#define LSST_AFW_MATH_SHAPELETS_CONSTANTS_H
27
37#include "ndarray.h"
38#include "lsst/pex/exceptions.h"
39
40namespace lsst { namespace shapelet {
41
42extern double const BASIS_NORMALIZATION;
43
45
53 HERMITE,
71 LAGUERRE,
91};
92
94inline int computeOffset(int order) { return order * (order + 1) / 2; }
95
97inline int computeSize(int order) { return computeOffset(order + 1); }
98
104inline int computeOrder(int size) {
105 int order = (std::sqrt(8*size + 1) - 3)/2;
106 if (computeSize(order) != size) {
107 throw LSST_EXCEPT(
109 "Invalid size for shapelet coefficient matrix"
110 );
111 }
112 return order;
113}
114
121typedef ndarray::Array<double,1> Array1d;
122
124inline double intSqrt(int n) {
125 return std::sqrt(double(n));
126}
127
129inline double rationalSqrt(int n, int d) {
130 return std::sqrt(double(n) / double(d));
131}
132
133}} // namespace lsst::shapelet
134
135#endif // !defined(LSST_AFW_MATH_SHAPELETS_CONSTANTS_H)
#define LSST_EXCEPT(type,...)
Create an exception with a given type.
Definition: Exception.h:48
An ellipse core with quadrupole moments as parameters.
Definition: Quadrupole.h:47
Reports invalid arguments.
Definition: Runtime.h:66
int computeOrder(int size)
Infer the order of a shapelet expansion from the number of coefficients.
Definition: constants.h:104
int computeOffset(int order)
Return the offset of the given order in a coefficient vector.
Definition: constants.h:94
double intSqrt(int n)
Compute the square root of an integer number.
Definition: constants.h:124
int computeSize(int order)
Return the size of the coefficient vector for the given order.
Definition: constants.h:97
double const BASIS_NORMALIZATION
Normalization factor for 1-d orthonormal shapelets: pi^(-1/4)
double rationalSqrt(int n, int d)
Compute the square root of a rational number i.e. sqrt(n/d)
Definition: constants.h:129
ndarray::Array< double, 1 > Array1d
Typedef for a commonly-used array type.
Definition: constants.h:121
@ HERMITE
Cartesian shapelets or Gauss-Hermite functions, as defined in Refregier, 2003.
Definition: constants.h:53
@ LAGUERRE
Polar shapelets or Gauss-Laguerre functions, as defined in Bernstein and Jarvis, 2002.
Definition: constants.h:71
afw::geom::ellipses::Quadrupole EllipseCore
Definition: constants.h:44
A base class for image defects.
T sqrt(T... args)
table::Key< int > order