LSSTApplications  17.0+124,17.0+14,17.0+73,18.0.0+37,18.0.0+80,18.0.0-4-g68ffd23+4,18.1.0-1-g0001055+12,18.1.0-1-g03d53ef+5,18.1.0-1-g1349e88+55,18.1.0-1-g2505f39+44,18.1.0-1-g5315e5e+4,18.1.0-1-g5e4b7ea+14,18.1.0-1-g7e8fceb+4,18.1.0-1-g85f8cd4+48,18.1.0-1-g8ff0b9f+4,18.1.0-1-ga2c679d+1,18.1.0-1-gd55f500+35,18.1.0-10-gb58edde+2,18.1.0-11-g0997b02+4,18.1.0-13-gfe4edf0b+12,18.1.0-14-g259bd21+21,18.1.0-19-gdb69f3f+2,18.1.0-2-g5f9922c+24,18.1.0-2-gd3b74e5+11,18.1.0-2-gfbf3545+32,18.1.0-26-g728bddb4+5,18.1.0-27-g6ff7ca9+2,18.1.0-3-g52aa583+25,18.1.0-3-g8ea57af+9,18.1.0-3-gb69f684+42,18.1.0-3-gfcaddf3+6,18.1.0-32-gd8786685a,18.1.0-4-gf3f9b77+6,18.1.0-5-g1dd662b+2,18.1.0-5-g6dbcb01+41,18.1.0-6-gae77429+3,18.1.0-7-g9d75d83+9,18.1.0-7-gae09a6d+30,18.1.0-9-gc381ef5+4,w.2019.45
LSSTDataManagementBasePackage
constants.h
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1 // -*- LSST-C++ -*-
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 
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