LSST Applications 27.0.0,g0265f82a02+469cd937ee,g02d81e74bb+21ad69e7e1,g1470d8bcf6+cbe83ee85a,g2079a07aa2+e67c6346a6,g212a7c68fe+04a9158687,g2305ad1205+94392ce272,g295015adf3+81dd352a9d,g2bbee38e9b+469cd937ee,g337abbeb29+469cd937ee,g3939d97d7f+72a9f7b576,g487adcacf7+71499e7cba,g50ff169b8f+5929b3527e,g52b1c1532d+a6fc98d2e7,g591dd9f2cf+df404f777f,g5a732f18d5+be83d3ecdb,g64a986408d+21ad69e7e1,g858d7b2824+21ad69e7e1,g8a8a8dda67+a6fc98d2e7,g99cad8db69+f62e5b0af5,g9ddcbc5298+d4bad12328,ga1e77700b3+9c366c4306,ga8c6da7877+71e4819109,gb0e22166c9+25ba2f69a1,gb6a65358fc+469cd937ee,gbb8dafda3b+69d3c0e320,gc07e1c2157+a98bf949bb,gc120e1dc64+615ec43309,gc28159a63d+469cd937ee,gcf0d15dbbd+72a9f7b576,gdaeeff99f8+a38ce5ea23,ge6526c86ff+3a7c1ac5f1,ge79ae78c31+469cd937ee,gee10cc3b42+a6fc98d2e7,gf1cff7945b+21ad69e7e1,gfbcc870c63+9a11dc8c8f
LSST Data Management Base Package
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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. | |
using | Scaled = ... |
The type returned by scale(). | |
using | Workspace = ... |
The type returned by makeWorkspace(). | |
Public Member Functions | |
std::size_t | getOrder () const |
Return the maximum order of the basis. | |
std::size_t | size () const |
Return the number of basis functions. | |
Scaled | scaled (Scaling2d const &first) const |
Return a scaled basis that delegates to a copy of this . | |
Workspace | makeWorkspace () const |
Allocate workspace that can be passed to sumWith() and fill() to avoid repeated memory allocations. | |
template<typename Vector > | |
double | sumWith (geom::Point2D const &point, Vector const &coefficients) const |
Evaluate a basis expansion with the given coefficients. | |
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). | |
template<typename Vector > | |
void | fill (geom::Point2D const &point, Vector &&basis) const |
Evaluate the basis at a given point. | |
template<typename Vector > | |
void | fill (geom::Point2D const &point, Vector &&basis, Workspace &workspace) const |
Evaluate the basis at a given point (external workspace version). | |
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).