LSSTApplications  17.0+11,17.0+113,17.0+64,18.0.0+13,18.0.0+28,18.0.0+5,18.0.0+66,18.0.0-4-g68ffd23,18.1.0-1-g0001055+8,18.1.0-1-g03d53ef+1,18.1.0-1-g1349e88+42,18.1.0-1-g2505f39+33,18.1.0-1-g5315e5e+1,18.1.0-1-g5e4b7ea+10,18.1.0-1-g7e8fceb+1,18.1.0-1-g85f8cd4+35,18.1.0-1-gd55f500+24,18.1.0-12-g42eabe8e+26,18.1.0-14-g259bd21+5,18.1.0-14-gd04256d+31,18.1.0-2-g4903023+9,18.1.0-2-g5f9922c+11,18.1.0-2-gd3b74e5+2,18.1.0-2-gfbf3545+19,18.1.0-2-gfefb8b5+30,18.1.0-20-g4b62d031a,18.1.0-21-gb3d55290+13,18.1.0-22-gcd16eb0+1,18.1.0-3-g52aa583+16,18.1.0-3-g8f4a2b1+29,18.1.0-3-gb69f684+26,18.1.0-4-g1ee41a7+1,18.1.0-5-g6dbcb01+27,18.1.0-5-gc286bb7+3,18.1.0-6-g857e778+2,18.1.0-7-gae09a6d+14,18.1.0-8-g42b2ab3+8,18.1.0-8-gc69d46e+13,18.1.0-9-gee19f03,w.2019.42
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.
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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 
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)
An ellipse core with quadrupole moments as parameters.
Definition: Quadrupole.h:47
ndarray::Array< double, 1 > Array1d
Typedef for a commonly-used array type.
Definition: constants.h:121
afw::geom::ellipses::Quadrupole EllipseCore
Definition: constants.h:44
int computeSize(int order)
Return the size of the coefficient vector for the given order.
Definition: constants.h:97
Polar shapelets or Gauss-Laguerre functions, as defined in Bernstein and Jarvis, 2002.
Definition: constants.h:71
A base class for image defects.
int computeOrder(int size)
Infer the order of a shapelet expansion from the number of coefficients.
Definition: constants.h:104
Cartesian shapelets or Gauss-Hermite functions, as defined in Refregier, 2003.
Definition: constants.h:53
#define LSST_EXCEPT(type,...)
Create an exception with a given type.
Definition: Exception.h:48
double const BASIS_NORMALIZATION
Normalization factor for 1-d orthonormal shapelets: pi^(-1/4)
double intSqrt(int n)
Compute the square root of an integer number.
Definition: constants.h:124
Reports invalid arguments.
Definition: Runtime.h:66
T sqrt(T... args)
int computeOffset(int order)
Return the offset of the given order in a coefficient vector.
Definition: constants.h:94
double rationalSqrt(int n, int d)
Compute the square root of a rational number i.e. sqrt(n/d)
Definition: constants.h:129