LSSTApplications  21.0.0+75b29a8a7f,21.0.0+e70536a077,21.0.0-1-ga51b5d4+62c747d40b,21.0.0-11-ga6ea59e8e+47cba9fc36,21.0.0-2-g103fe59+914993bf7c,21.0.0-2-g1367e85+e2614ded12,21.0.0-2-g45278ab+e70536a077,21.0.0-2-g4bc9b9f+7b2b5f8678,21.0.0-2-g5242d73+e2614ded12,21.0.0-2-g54e2caa+6403186824,21.0.0-2-g7f82c8f+3ac4acbffc,21.0.0-2-g8dde007+04a6aea1af,21.0.0-2-g8f08a60+9402881886,21.0.0-2-ga326454+3ac4acbffc,21.0.0-2-ga63a54e+81dd751046,21.0.0-2-gc738bc1+5f65c6e7a9,21.0.0-2-gde069b7+26c92b3210,21.0.0-2-gecfae73+0993ddc9bd,21.0.0-2-gfc62afb+e2614ded12,21.0.0-21-gba890a8+5a4f502a26,21.0.0-23-g9966ff26+03098d1af8,21.0.0-3-g357aad2+8ad216c477,21.0.0-3-g4be5c26+e2614ded12,21.0.0-3-g6d51c4a+4d2fe0280d,21.0.0-3-g7d9da8d+75b29a8a7f,21.0.0-3-gaa929c8+522e0f12c2,21.0.0-3-ge02ed75+4d2fe0280d,21.0.0-4-g3300ddd+e70536a077,21.0.0-4-gc004bbf+eac6615e82,21.0.0-4-gccdca77+f94adcd104,21.0.0-4-gd1c1571+18b81799f9,21.0.0-5-g7b47fff+4d2fe0280d,21.0.0-5-gb155db7+d2632f662b,21.0.0-5-gdf36809+637e4641ee,21.0.0-6-g722ad07+28c848f42a,21.0.0-7-g959bb79+522e0f12c2,21.0.0-7-gfd72ab2+cf01990774,21.0.0-9-g87fb7b8d+e2ab11cdd6,w.2021.04
LSSTDataManagementBasePackage
constants.h
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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  *
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24 
25 #ifndef LSST_AFW_MATH_SHAPELETS_CONSTANTS_H
26 #define LSST_AFW_MATH_SHAPELETS_CONSTANTS_H
27 
36 #include "lsst/afw/geom/ellipses.h"
37 #include "ndarray.h"
38 #include "lsst/pex/exceptions.h"
39 
40 namespace lsst { namespace shapelet {
41 
42 extern double const BASIS_NORMALIZATION;
43 
45 
53  HERMITE,
71  LAGUERRE,
91 };
92 
94 inline int computeOffset(int order) { return order * (order + 1) / 2; }
95 
97 inline int computeSize(int order) { return computeOffset(order + 1); }
98 
104 inline 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 
121 typedef ndarray::Array<double,1> Array1d;
122 
124 inline double intSqrt(int n) {
125  return std::sqrt(double(n));
126 }
127 
129 inline 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)
lsst::shapelet::computeOrder
int computeOrder(int size)
Infer the order of a shapelet expansion from the number of coefficients.
Definition: constants.h:104
lsst::shapelet.constants.constantsContinued.BasisTypeEnum
Definition: constantsContinued.py:9
lsst::shapelet::Array1d
ndarray::Array< double, 1 > Array1d
Typedef for a commonly-used array type.
Definition: constants.h:121
lsst::shapelet::LAGUERRE
@ LAGUERRE
Polar shapelets or Gauss-Laguerre functions, as defined in Bernstein and Jarvis, 2002.
Definition: constants.h:71
ellipses.h
exceptions.h
lsst::shapelet::EllipseCore
afw::geom::ellipses::Quadrupole EllipseCore
Definition: constants.h:44
std::sqrt
T sqrt(T... args)
lsst::shapelet::computeSize
int computeSize(int order)
Return the size of the coefficient vector for the given order.
Definition: constants.h:97
lsst::shapelet::rationalSqrt
double rationalSqrt(int n, int d)
Compute the square root of a rational number i.e. sqrt(n/d)
Definition: constants.h:129
lsst::shapelet::HERMITE
@ HERMITE
Cartesian shapelets or Gauss-Hermite functions, as defined in Refregier, 2003.
Definition: constants.h:53
lsst
A base class for image defects.
Definition: imageAlgorithm.dox:1
LSST_EXCEPT
#define LSST_EXCEPT(type,...)
Create an exception with a given type.
Definition: Exception.h:48
lsst::afw::geom::ellipses::Quadrupole
An ellipse core with quadrupole moments as parameters.
Definition: Quadrupole.h:47
lsst.pex::exceptions::InvalidParameterError
Reports invalid arguments.
Definition: Runtime.h:66
lsst::shapelet::intSqrt
double intSqrt(int n)
Compute the square root of an integer number.
Definition: constants.h:124
lsst::shapelet::BASIS_NORMALIZATION
double const BASIS_NORMALIZATION
Normalization factor for 1-d orthonormal shapelets: pi^(-1/4)
lsst::shapelet::computeOffset
int computeOffset(int order)
Return the offset of the given order in a coefficient vector.
Definition: constants.h:94