LSST Applications  21.0.0-172-gfb10e10a+18fedfabac,22.0.0+297cba6710,22.0.0+80564b0ff1,22.0.0+8d77f4f51a,22.0.0+a28f4c53b1,22.0.0+dcf3732eb2,22.0.1-1-g7d6de66+2a20fdde0d,22.0.1-1-g8e32f31+297cba6710,22.0.1-1-geca5380+7fa3b7d9b6,22.0.1-12-g44dc1dc+2a20fdde0d,22.0.1-15-g6a90155+515f58c32b,22.0.1-16-g9282f48+790f5f2caa,22.0.1-2-g92698f7+dcf3732eb2,22.0.1-2-ga9b0f51+7fa3b7d9b6,22.0.1-2-gd1925c9+bf4f0e694f,22.0.1-24-g1ad7a390+a9625a72a8,22.0.1-25-g5bf6245+3ad8ecd50b,22.0.1-25-gb120d7b+8b5510f75f,22.0.1-27-g97737f7+2a20fdde0d,22.0.1-32-gf62ce7b1+aa4237961e,22.0.1-4-g0b3f228+2a20fdde0d,22.0.1-4-g243d05b+871c1b8305,22.0.1-4-g3a563be+32dcf1063f,22.0.1-4-g44f2e3d+9e4ab0f4fa,22.0.1-42-gca6935d93+ba5e5ca3eb,22.0.1-5-g15c806e+85460ae5f3,22.0.1-5-g58711c4+611d128589,22.0.1-5-g75bb458+99c117b92f,22.0.1-6-g1c63a23+7fa3b7d9b6,22.0.1-6-g50866e6+84ff5a128b,22.0.1-6-g8d3140d+720564cf76,22.0.1-6-gd805d02+cc5644f571,22.0.1-8-ge5750ce+85460ae5f3,master-g6e05de7fdc+babf819c66,master-g99da0e417a+8d77f4f51a,w.2021.48
LSST Data Management Base Package
Public Types | Public Member Functions | List of all members
lsst::geom::polynomials::Basis2d< Basis1d > Class Template Reference

A basis interface for 2-d series expansions. More...

#include <Basis2d.h>

Public Types

using Function = ...
 A Function2d object that uses this basis. More...
 
using Scaled = ...
 The type returned by scale(). More...
 
using Workspace = ...
 The type returned by makeWorkspace(). More...
 

Public Member Functions

std::size_t getOrder () const
 Return the maximum order of the basis. More...
 
std::size_t size () const
 Return the number of basis functions. More...
 
Scaled scaled (Scaling2d const &first) const
 Return a scaled basis that delegates to a copy of this. More...
 
Workspace makeWorkspace () const
 Allocate workspace that can be passed to sumWith() and fill() to avoid repeated memory allocations. More...
 
template<typename Vector >
double sumWith (geom::Point2D const &point, Vector const &coefficients) const
 Evaluate a basis expansion with the given coefficients. More...
 
template<typename Vector >
double sumWith (geom::Point2D const &point, Vector const &coefficients, Workspace &workspace) const
 Evaluate a basis expansion with the given coefficients (external workspace version). More...
 
template<typename Vector >
void fill (geom::Point2D const &point, Vector &&basis) const
 Evaluate the basis at a given point. More...
 
template<typename Vector >
void fill (geom::Point2D const &point, Vector &&basis, Workspace &workspace) const
 Evaluate the basis at a given point (external workspace version). More...
 

Detailed Description

template<typename Basis1d>
class lsst::geom::polynomials::Basis2d< Basis1d >

A basis interface for 2-d series expansions.

Note
This class is only present in the documentation, as it represents an abstract interface for which C++ (prior to C++20, at least) has no language support. It may be formalized into a true Concept when that language feature is available.

Definition at line 37 of file Basis2d.h.

Member Typedef Documentation

◆ Function

template<typename Basis1d >
using lsst::geom::polynomials::Basis2d< Basis1d >::Function = ...

A Function2d object that uses this basis.

Definition at line 41 of file Basis2d.h.

◆ Scaled

template<typename Basis1d >
using lsst::geom::polynomials::Basis2d< Basis1d >::Scaled = ...

The type returned by scale().

Definition at line 44 of file Basis2d.h.

◆ Workspace

template<typename Basis1d >
using lsst::geom::polynomials::Basis2d< Basis1d >::Workspace = ...

The type returned by makeWorkspace().

Definition at line 47 of file Basis2d.h.

Member Function Documentation

◆ fill() [1/2]

template<typename Basis1d >
template<typename Vector >
void lsst::geom::polynomials::Basis2d< Basis1d >::fill ( geom::Point2D const &  point,
Vector &&  basis 
) const

Evaluate the basis at a given point.

Parameters
[in]pointPoint at which to evaluate the basis functions.
[out]basisFlattened output vector. See Basis1d::fill more information.

◆ fill() [2/2]

template<typename Basis1d >
template<typename Vector >
void lsst::geom::polynomials::Basis2d< Basis1d >::fill ( geom::Point2D const &  point,
Vector &&  basis,
Workspace workspace 
) const

Evaluate the basis at a given point (external workspace version).

◆ getOrder()

template<typename Basis1d >
std::size_t lsst::geom::polynomials::Basis2d< Basis1d >::getOrder ( ) const

Return the maximum order of the basis.

◆ makeWorkspace()

template<typename Basis1d >
Workspace lsst::geom::polynomials::Basis2d< Basis1d >::makeWorkspace ( ) const

Allocate workspace that can be passed to sumWith() and fill() to avoid repeated memory allocations.

◆ scaled()

template<typename Basis1d >
Scaled lsst::geom::polynomials::Basis2d< Basis1d >::scaled ( Scaling2d const &  first) const

Return a scaled basis that delegates to a copy of this.

The scaled basis will transform all points by the given scaling before evaluating the basis functions in the same way as this.

◆ size()

template<typename Basis1d >
std::size_t lsst::geom::polynomials::Basis2d< Basis1d >::size ( ) const

Return the number of basis functions.

◆ sumWith() [1/2]

template<typename Basis1d >
template<typename Vector >
double lsst::geom::polynomials::Basis2d< Basis1d >::sumWith ( geom::Point2D const &  point,
Vector const &  coefficients 
) const

Evaluate a basis expansion with the given coefficients.

If the 1-d basis elements are \(B_n(x)\) and the given coefficients are a vector \(a_{p, q}\), this computes

\[ \sum_{p = 0, q = 0}^{p + q \le N} a_{p,q} B_{p}(x) B_{q}(y) \]

Parameters
[in]pointPoint at which to evaluate the expansion.
[in]coefficientsFlattened coefficients vector. See Basis1d::sumWith for more information.

◆ sumWith() [2/2]

template<typename Basis1d >
template<typename Vector >
double lsst::geom::polynomials::Basis2d< Basis1d >::sumWith ( geom::Point2D const &  point,
Vector const &  coefficients,
Workspace workspace 
) const

Evaluate a basis expansion with the given coefficients (external workspace version).


The documentation for this class was generated from the following file: