LSSTApplications  17.0+50,17.0+84,17.0+9,18.0.0+14,18.0.0+2,18.0.0+30,18.0.0+4,18.0.0+9,18.0.0-2-ge43143a+4,18.1.0-1-g0001055,18.1.0-1-g0896a44+6,18.1.0-1-g1349e88+4,18.1.0-1-g2505f39+3,18.1.0-1-g380d4d4+4,18.1.0-1-g5e4b7ea,18.1.0-1-g85f8cd4+3,18.1.0-1-g9a6769a+2,18.1.0-1-ga1a4c1a+2,18.1.0-1-gc037db8,18.1.0-1-gd55f500+1,18.1.0-1-ge10677a+3,18.1.0-10-g73b8679e+7,18.1.0-11-g311e899+3,18.1.0-12-g0d73a3591,18.1.0-12-gc95f69a+3,18.1.0-2-g000ad9a+3,18.1.0-2-g31c43f9+3,18.1.0-2-g9c63283+4,18.1.0-2-gdf0b915+4,18.1.0-2-gf03bb23,18.1.0-3-g2e29e3d+6,18.1.0-3-g52aa583+2,18.1.0-3-g9cb968e+3,18.1.0-4-gd2e8982+6,18.1.0-5-g510c42a+3,18.1.0-5-gaeab27e+4,18.1.0-6-gdda7f3e+6,18.1.0-7-g89824ecc+4,w.2019.32
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  *
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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