LSSTApplications  19.0.0-10-g4a5fae6+21,20.0.0,20.0.0+1,20.0.0+2,20.0.0+3,20.0.0+6,20.0.0+7,20.0.0+8,20.0.0-1-g10df615+6,20.0.0-1-g253301a+2,20.0.0-1-g32a200e+6,20.0.0-1-g596936a+6,20.0.0-1-g8a53f90,20.0.0-1-gc96f8cb+7,20.0.0-1-gd1c87d7,20.0.0-15-g34741e2+1,20.0.0-2-g04cfba9,20.0.0-2-g92e20685+7,20.0.0-2-gec03fae,20.0.0-3-g082faa5,20.0.0-3-g2fa8bb8+3,20.0.0-4-gde602ef96+1,20.0.0-4-ge48a6ca+1,20.0.0-7-g180d0f2+2,20.0.0-8-g7eef53f7+2,w.2020.27
LSSTDataManagementBasePackage
constants.h
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2 
3 /*
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5  * Copyright 2008, 2009, 2010, 2011 LSST Corporation.
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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
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
exceptions.h
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