ScaledBasis1d.h

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// -*- LSST-C++ -*-
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#ifndef LSST_AFW_MATH_POLYNOMIALS_ScaledBasis1d_h_INCLUDED
#define LSST_AFW_MATH_POLYNOMIALS_ScaledBasis1d_h_INCLUDED

#include "lsst/geom/polynomials/SafeSum.h"
#include "lsst/geom/polynomials/Scaling1d.h"

namespace lsst { namespace geom { namespace polynomials {

template <typename Basis>
class Function1d;

template <typename Nested>
class ScaledBasis1d {
public:

    using Function = Function1d<ScaledBasis1d>;

    using Scaled = ScaledBasis1d<Nested>;

    explicit ScaledBasis1d(Nested const & nested, Scaling1d const & scaling) :
        _nested(nested),
        _scaling(scaling)
    {}

    ScaledBasis1d(std::size_t order, double min, double max) :
        _nested(order),
        _scaling(makeUnitRangeScaling1d(min, max))
    {}

    ScaledBasis1d(ScaledBasis1d const &) = default;

    ScaledBasis1d(ScaledBasis1d &&) = default;

    ScaledBasis1d & operator=(ScaledBasis1d const &) = default;

    ScaledBasis1d & operator=(ScaledBasis1d &&) = default;

    Nested const & getNested() const noexcept { return _nested; }

    Scaling1d const & getScaling() const noexcept { return _scaling; }

    std::size_t getOrder() const { return getNested().getOrder(); }

    std::size_t size() const { return getNested().size(); }

    Scaled scaled(Scaling1d const & first) const {
        return getNested().scaled(first.then(getScaling()));
    }

    template <typename Vector>
    double sumWith(double x, Vector const & coefficients, SumMode mode=SumMode::FAST) const {
        return getNested().sumWith(getScaling().applyForward(x), coefficients, mode);
    }

    template <typename Vector>
    void fill(double x, Vector && basis) const {
        return getNested().fill(getScaling().applyForward(x), std::forward<Vector>(basis));
    }

private:
    Nested _nested;
    Scaling1d _scaling;
};

}}} // namespace lsst::geom::polynomials

#endif // !LSST_AFW_MATH_POLYNOMIALS_ScaledBasis1d_h_INCLUDED