LSSTApplications
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LSSTDataManagementBasePackage
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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).