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LSST Data Management Base Package
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A basis interface for 1-d series expansions. More...
#include <Basis1d.h>
Public Types | |
| using | Function = ... |
| A Function1d object that uses this basis. | |
| using | Scaled = ... |
| The type returned by scale(). | |
Public Member Functions | |
| std::size_t | getOrder () const |
| Return the order of the basis. | |
| std::size_t | size () const |
| Return the number of elements in the basis. | |
| Scaled | scaled (Scaling1d const &scaling) const |
Return a scaled basis that delegates to a copy of this. | |
| template<typename Vector > | |
| double | sumWith (double x, Vector const &coefficients) const |
| Evaluate a basis expansion with the given coefficients. | |
| template<typename Vector > | |
| void | fill (double x, Vector &&basis) const |
| Evaluate the basis at a given point. | |
A basis interface for 1-d series expansions.
| using lsst::geom::polynomials::Basis1d::Function = ... |
A Function1d object that uses this basis.
| using lsst::geom::polynomials::Basis1d::Scaled = ... |
| void lsst::geom::polynomials::Basis1d::fill | ( | double | x, |
| Vector && | basis ) const |
Evaluate the basis at a given point.
| [in] | x | Point at which to evaluate the basis functions. |
| [out] | basis | Output vector. May be any type for which coefficients[n] returns a non-const reference to a floating-point value. This includes std::vector<double>, ndarray::Array<double,1>, Eigen::VectorXd, Eigen view expressions, and mutable random access iterators. |
coefficients[n] does, and provides basic exception safety if it does. | std::size_t lsst::geom::polynomials::Basis1d::getOrder | ( | ) | const |
Return the order of the basis.
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::Basis1d::size | ( | ) | const |
Return the number of elements in the basis.
| double lsst::geom::polynomials::Basis1d::sumWith | ( | double | x, |
| Vector const & | coefficients ) const |
Evaluate a basis expansion with the given coefficients.
If the basis elements are \(B_n(x)\) and the given coefficients are a vector \(a_n\), this computes
\[ \sum_{n = 0}^{n \le N} a_n B_n(x) \]
| [in] | x | Point at which to evaluate the expansion. |
| [in] | coefficients | Coefficients vector. May be any type for which coefficients[n] returns an object convertible to double for all n <= getOrder(). This includes std::vector<double>, ndarray::Array<double,1>, Eigen::VectorXd, and random access iterators. If a lazy expression template object is passed, the elements of the expression will be evaluated only once. |
coefficients[n] does, and provides the same exception safety as it if it does. 1.10.0