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LSST Data Management Base Package
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A 1-d function defined by a series expansion and its coefficients. More...
#include <Function1d.h>
Public Types | |
using | iterator = double * |
using | const_iterator = double const * |
using | Basis = Basis_ |
The basis type used by this function. | |
Public Member Functions | |
Function1d (Basis const &basis) | |
Construct with zero-valued coefficients. | |
Function1d (Basis const &basis, Eigen::VectorXd const &coefficients) | |
Construct with coefficients from an Eigen object. | |
template<typename Iterator> | |
Function1d (Basis const &basis, Iterator first, Iterator last) | |
Construct by copying coefficients from an STL iterator range. | |
Function1d (Function1d const &)=default | |
Default copy constructor. | |
Function1d (Function1d &&)=default | |
Default move constructor. | |
Function1d & | operator= (Function1d const &)=default |
Default copy assignment. | |
Function1d & | operator= (Function1d &&)=default |
Default move assignment. | |
iterator | begin () |
Iterators over coefficients. | |
iterator | end () |
const_iterator | cbegin () const |
const_iterator | cend () const |
const_iterator | begin () const |
const_iterator | end () const |
Basis const & | getBasis () const |
Return the associated Basis1d object. | |
std::size_t | size () const |
Return the number of coefficients. | |
double | operator() (double x, SumMode mode=SumMode::FAST) const |
Evaluate the function at the given point. | |
double & | operator[] (std::size_t n) |
Return the coefficient associated with the nth basis function. | |
double const & | operator[] (std::size_t n) const |
auto | getCoefficients () |
Return the coefficient vector as an Eigen matrix-like object. | |
auto | getCoefficients () const |
Function1d< typename Basis::Scaled > | scaled (Scaling1d const &scaling) const |
Return a new function that applies the given scaling to all points before evaluation. | |
A 1-d function defined by a series expansion and its coefficients.
A Function1d combines a Basis1d that defines basis functions \(B_n(x)\) with a vector of associated coefficients \(a_n\). Evaluating the function computes
\[ \sum_{n=0}^{n \le N} a_n B_n(x) \]
Definition at line 42 of file Function1d.h.
using lsst::geom::polynomials::Function1d< Basis_ >::Basis = Basis_ |
The basis type used by this function.
Definition at line 49 of file Function1d.h.
using lsst::geom::polynomials::Function1d< Basis_ >::const_iterator = double const * |
Definition at line 46 of file Function1d.h.
using lsst::geom::polynomials::Function1d< Basis_ >::iterator = double * |
Definition at line 45 of file Function1d.h.
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inlineexplicit |
Construct with zero-valued coefficients.
Definition at line 52 of file Function1d.h.
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inline |
Construct with coefficients from an Eigen object.
Definition at line 58 of file Function1d.h.
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Construct by copying coefficients from an STL iterator range.
Definition at line 67 of file Function1d.h.
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default |
Default copy constructor.
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default |
Default move constructor.
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inline |
Iterators over coefficients.
Definition at line 89 of file Function1d.h.
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inline |
Definition at line 93 of file Function1d.h.
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inline |
Definition at line 91 of file Function1d.h.
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inline |
Definition at line 92 of file Function1d.h.
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inline |
Definition at line 90 of file Function1d.h.
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inline |
Definition at line 94 of file Function1d.h.
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inline |
Return the associated Basis1d object.
Definition at line 98 of file Function1d.h.
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inline |
Return the coefficient vector as an Eigen matrix-like object.
The exact type of the returned object is unspecified, but it is guaranteed to be a view.
Definition at line 125 of file Function1d.h.
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inline |
Definition at line 129 of file Function1d.h.
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inline |
Evaluate the function at the given point.
Definition at line 104 of file Function1d.h.
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default |
Default move assignment.
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default |
Default copy assignment.
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inline |
Return the coefficient associated with the nth basis function.
Caller is responsible for ensuring that the given index is valid.
Definition at line 114 of file Function1d.h.
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inline |
Definition at line 115 of file Function1d.h.
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Return a new function that applies the given scaling to all points before evaluation.
Definition at line 133 of file Function1d.h.
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Return the number of coefficients.
Definition at line 101 of file Function1d.h.