LSSTApplications
19.0.0-14-gb0260a2+72efe9b372,20.0.0+7927753e06,20.0.0+8829bf0056,20.0.0+995114c5d2,20.0.0+b6f4b2abd1,20.0.0+bddc4f4cbe,20.0.0-1-g253301a+8829bf0056,20.0.0-1-g2b7511a+0d71a2d77f,20.0.0-1-g5b95a8c+7461dd0434,20.0.0-12-g321c96ea+23efe4bbff,20.0.0-16-gfab17e72e+fdf35455f6,20.0.0-2-g0070d88+ba3ffc8f0b,20.0.0-2-g4dae9ad+ee58a624b3,20.0.0-2-g61b8584+5d3db074ba,20.0.0-2-gb780d76+d529cf1a41,20.0.0-2-ged6426c+226a441f5f,20.0.0-2-gf072044+8829bf0056,20.0.0-2-gf1f7952+ee58a624b3,20.0.0-20-geae50cf+e37fec0aee,20.0.0-25-g3dcad98+544a109665,20.0.0-25-g5eafb0f+ee58a624b3,20.0.0-27-g64178ef+f1f297b00a,20.0.0-3-g4cc78c6+e0676b0dc8,20.0.0-3-g8f21e14+4fd2c12c9a,20.0.0-3-gbd60e8c+187b78b4b8,20.0.0-3-gbecbe05+48431fa087,20.0.0-38-ge4adf513+a12e1f8e37,20.0.0-4-g97dc21a+544a109665,20.0.0-4-gb4befbc+087873070b,20.0.0-4-gf910f65+5d3db074ba,20.0.0-5-gdfe0fee+199202a608,20.0.0-5-gfbfe500+d529cf1a41,20.0.0-6-g64f541c+d529cf1a41,20.0.0-6-g9a5b7a1+a1cd37312e,20.0.0-68-ga3f3dda+5fca18c6a4,20.0.0-9-g4aef684+e18322736b,w.2020.45
LSSTDataManagementBasePackage
|
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... | |
A basis interface for 2-d series expansions.
using lsst::geom::polynomials::Basis2d< Basis1d >::Function = ... |
A Function2d object that uses this basis.
using lsst::geom::polynomials::Basis2d< Basis1d >::Scaled = ... |
using lsst::geom::polynomials::Basis2d< Basis1d >::Workspace = ... |
The type returned by makeWorkspace().
void lsst::geom::polynomials::Basis2d< Basis1d >::fill | ( | geom::Point2D const & | point, |
Vector && | basis | ||
) | const |
Evaluate the basis at a given point.
[in] | point | Point at which to evaluate the basis functions. |
[out] | basis | Flattened output vector. See Basis1d::fill more information. |
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).
std::size_t lsst::geom::polynomials::Basis2d< Basis1d >::getOrder | ( | ) | const |
Return the maximum order of the basis.
Workspace lsst::geom::polynomials::Basis2d< Basis1d >::makeWorkspace | ( | ) | const |
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
.
std::size_t lsst::geom::polynomials::Basis2d< Basis1d >::size | ( | ) | const |
Return the number of basis functions.
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
\[ \sum_{p = 0, q = 0}^{p + q \le N} a_{p,q} B_{p}(x) B_{q}(y) \]
[in] | point | Point at which to evaluate the expansion. |
[in] | coefficients | Flattened coefficients vector. See Basis1d::sumWith for more information. |
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).