LSST Applications  21.0.0+c4f5df5339,21.0.0+e70536a077,21.0.0-1-ga51b5d4+7c60f8a6ea,21.0.0-10-gcf60f90+74aa0801fd,21.0.0-12-g63909ac9+643a1044a5,21.0.0-15-gedb9d5423+1041c3824f,21.0.0-2-g103fe59+a356b2badb,21.0.0-2-g1367e85+6d3f3f41db,21.0.0-2-g45278ab+e70536a077,21.0.0-2-g5242d73+6d3f3f41db,21.0.0-2-g7f82c8f+8d7c04eab9,21.0.0-2-g8f08a60+9c9a9cfcc8,21.0.0-2-ga326454+8d7c04eab9,21.0.0-2-gde069b7+bedfc5e1fb,21.0.0-2-gecfae73+6cb6558258,21.0.0-2-gfc62afb+6d3f3f41db,21.0.0-3-g21c7a62+f6e98b25aa,21.0.0-3-g357aad2+bd62456bea,21.0.0-3-g4be5c26+6d3f3f41db,21.0.0-3-g65f322c+03a4076c01,21.0.0-3-g7d9da8d+c4f5df5339,21.0.0-3-gaa929c8+c6b98066dc,21.0.0-3-gc44e71e+a26d5c1aea,21.0.0-3-ge02ed75+04b527a9d5,21.0.0-35-g64f566ff+b27e5ef93e,21.0.0-4-g591bb35+04b527a9d5,21.0.0-4-g88306b8+8773047b2e,21.0.0-4-gc004bbf+80a0b7acb7,21.0.0-4-gccdca77+a5c54364a0,21.0.0-4-ge8fba5a+ccfc328107,21.0.0-5-gdf36809+87b8d260e6,21.0.0-6-g00874e7+7eeda2b6ba,21.0.0-6-g2d4f3f3+e70536a077,21.0.0-6-g4e60332+04b527a9d5,21.0.0-6-g5ef7dad+f53629abd8,21.0.0-7-gc8ca178+b63e69433b,21.0.0-8-gfbe0b4b+c6b98066dc,w.2021.06
LSST Data Management Base Package
constants.h
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1 // -*- LSST-C++ -*-
2 
3 /*
4  * LSST Data Management System
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)
#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)